From 0114433ce8ab40deee6ff92a8f6d886bdc3d83be Mon Sep 17 00:00:00 2001 From: Guillaume DOTT Date: Thu, 11 Dec 2014 22:28:08 +0100 Subject: [PATCH] Correct data/nurikabe/20x20.yml format --- data/nurikabe/20x20.yml | 3001 ++++++++++++++++++++------------------- 1 file changed, 1502 insertions(+), 1499 deletions(-) diff --git a/data/nurikabe/20x20.yml b/data/nurikabe/20x20.yml index 8e4ac1d..2f9849c 100644 --- a/data/nurikabe/20x20.yml +++ b/data/nurikabe/20x20.yml @@ -1,1499 +1,1502 @@ -- 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[[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,5,0,0,0,0,0,1],[2,0,3,0,0,3,0,0,1,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,3,0,0,8,0,0,0,0,4,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,2,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,0],[2,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,7,0,0,0],[0,0,3,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,1,0],[1,0,0,0,0,0,3,0,0,2,0,1,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,2,0,0,0,0,1,0,0,5,0,0,2,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[5,0,0,1,0,4,0,0,2,0,1,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,4,0,0,0,3,0,0,0,3,0,3,0,3,0,2,0],] -- [[2,0,0,3,0,0,0,3,0,0,0,1,0,1,0,4,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,6,0,0,2,0,0,4,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,3],[2,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,3,0,0,0,0,7,0,0,3,0,0,0,0,0,0,1],[0,0,3,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0,0],[8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,0],[0,0,0,0,2,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,1,0,0,0,6,0,3,0,0,0,0],[0,0,0,3,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,3,0,0,0,2,0,0,0,0,3,0,0,2,0,0,0],[0,0,0,0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0],] -- [[2,0,0,6,0,0,0,3,0,2,0,0,4,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,1,0,2,0,2,0,5,0,0,1,0],[0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,3,0,0,1,0,0,0,2,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,2,0,6,0,0,0,0,1,0,0,0,0,2,0],[3,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,2,0,0,0,1,0,0,2],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[4,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,3,0],[0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,3,0,0,0,0,0],[6,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,2,0,3,0,3,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0],] -- [[3,0,1,0,0,2,0,2,0,2,0,0,0,1,0,3,0,0,0,3],[0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,7,0,0,2,0,0,0],[0,0,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0],[2,0,2,0,1,0,1,0,0,0,2,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,3,0,0,1,0,0,0,0,0,3,0,0,0,2,0,0,0],[1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,0,2,0,0,3,0,0,0],[1,0,1,0,4,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,6,0,3,0,0,0],[3,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0],[0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,4,0,0,1,0,0,0,2,0],[4,0,2,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,5,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,5,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[0,0,0,3,0,0,2,0,1,0,2,0,1,0,3,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,2,0,1,0,0],[1,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,8,0],[0,1,0,3,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0],[0,0,0,0,0,2,0,2,0,0,1,0,0,0,1,0,0,0,0,0],[3,0,0,3,0,0,0,0,0,4,0,4,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,2,0],[1,0,4,0,0,0,0,0,3,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,3,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,3,0,3,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0],[3,0,2,0,0,0,0,2,0,1,0,0,0,4,0,1,0,2,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,1,0,2,0,4,0,0,0,0,0,3,0,0,2],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,3,0,0,0,1,0,0,0,0,0],] -- [[0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,3,0,0,1],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,3,0,1,0,0,1,0,0,0,2,0,1],[1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,4,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,1,0,2,0,2],[0,2,0,0,2,0,0,3,0,0,3,0,0,1,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0,1],[1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,2,0,3,0,2,0,1,0,0,0,0,0,4,0,2],[0,2,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,2,0,0,3,0,0,4,0,0],[0,0,0,0,3,0,0,4,0,0,2,0,1,0,0,0,0,0,0,3],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,1,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,2],[0,0,1,0,2,0,3,0,0,0,1,0,0,0,0,0,6,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,2,0,0,0,3,0,3,0,0,2,0,2,0,2],] -- [[2,0,1,0,1,0,2,0,1,0,3,0,1,0,1,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,10,0,0,0,0,2,0,2,0,0,0,3,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,2,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,2,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,4,0,0,0,2,0],[2,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0],[5,0,2,0,0,1,0,4,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,1,0,0,7,0,0,0,0,0,0,2,0,1,0,2,0,3,0],[0,0,0,3,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0,1,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,2,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[4,0,1,0,5,0,0,0,4,0,2,0,2,0,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,3,0,0,2,0,0,0,0,2,0,3,0,0,0,2,0,0,2],[2,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,4,0,0,2,0,1,0,0,0,2,0,0,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,5,0,1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,4,0,0,1,0,0,4,0,0,0,0,0,4,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[1,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,0,0],[1,0,0,1,0,3,0,4,0,2,0,0,0,1,0,2,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2],[0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,0,0,1,0,1,0,5,0,0,1,0,1,0,0,0,0,0,2],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[3,0,0,0,2,0,0,2,0,0,4,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,1,0,2,0,1,0,3,0,0,4,0,0,0],[0,0,2,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,1],[3,0,4,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0],[0,0,0,0,0,0,2,0,2,0,3,0,0,4,0,0,0,3,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,1,0,0,4,0,0,1,0,2,0,0,0,0,0,0,0],[6,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,0,3,0,0,1,0,0,0,4,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,2,0,0,3,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,3,0,0,2,0,0,1,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,0,0,0,0,2,0,5,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,0],[1,0,3,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,4,0,0,1,0,1,0,3,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[3,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,4,0],[0,0,0,1,0,0,0,0,2,0,3,0,5,0,1,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,3,0,0,5,0,0,0,0,0,0,1,0,0,0],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,3,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,4,0,4,0,0,1,0,0,0,0,0,0,0,3,0,0],[0,0,4,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0],[2,0,3,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0],[0,0,0,0,1,0,2,0,3,0,0,0,0,0,0,3,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,2,0],[0,0,0,0,3,0,0,3,0,0,6,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,3,0,0,0,2,0,0,2,0,0,2,0,1,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,3,0,1,0,2,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,1,0],[3,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,8,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0],[1,0,3,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0],[0,1,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,1,0,0,0,0,6,0,0,1,0,3,0,0,0,0],[7,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,2,0,2,0,0,0,0,0,3,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,4,0,0,2,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[1,0,3,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1],] -- [[1,0,1,0,3,0,0,0,4,0,1,0,2,0,2,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,4,0,0,0,0,0,0,0,0,1,0,1,0,2,0,3],[0,1,0,2,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,4,0,0,1,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,4,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,2,0,3,0,0,4,0,0,0,0,0,0,0,0,3],[0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,3,0,0,2,0,4,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2],[0,0,3,0,0,3,0,0,0,1,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,3,0,0,2,0,0,3,0,0,1],[0,1,0,1,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,0,4,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0],[1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1],] -- [[2,0,0,3,0,0,0,3,0,0,0,3,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,5,0,0,2,0,0,0,0,0,1,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,5,0],[1,0,0,0,3,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0],[0,2,0,1,0,0,0,1,0,2,0,1,0,0,4,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1],[0,0,2,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,2,0,2,0,2,0,0,0,0,0,1,0,6,0,0,2,0,0],[5,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,1,0],[0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,5,0,2,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,5,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,0,2,0,0,3,0,1,0,3,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,3,0,1,0,0,0,1,0,0,0,3,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,0,3,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,1,0,2,0,0],[0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,3],[0,0,6,0,0,0,1,0,2,0,0,1,0,2,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,2,0,0,0,3,0,0,0,0,0,0,3,0],[3,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0],[0,0,2,0,2,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,1,0,1,0,1,0,1,0,2,0,1,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1],[3,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,1,0,0],[0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,1,0,0,2,0],[0,0,5,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,0,0,0,6,0,0,5,0,0,3,0,0,0,6,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0],[3,0,0,2,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,3],[0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,3,0,2,0,2,0,0,0,3],[0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,3,0,1,0,0,3,0,0,4,0,3],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,3,0,1,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,3,0,1,0,4],[0,0,3,0,1,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,5,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0],[0,2,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0],[0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,4],[0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,0,0,3,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],] -- [[2,0,2,0,2,0,10,0,1,0,1,0,3,0,2,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,2,0,0,0],[3,0,1,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,1,0,4,0,0,0,0,0,2,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1],[2,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,3,0,0,0,0],[1,0,1,0,0,0,2,0,4,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2],[1,0,2,0,0,1,0,0,0,0,1,0,4,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,3,0,3,0,0,0,1,0,2,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,1,0,0],[0,0,3,0,0,0,0,0,2,0,0,5,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,4,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2],[0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0],] -- [[4,0,2,0,0,2,0,1,0,2,0,0,4,0,0,0,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,2,0,0,5,0,0,6,0,0,0,3,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,3,0],[0,0,0,0,4,0,0,0,0,0,1,0,0,0,4,0,1,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,3,0,0],[0,0,0,3,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,2,0,2,0,3,0,0,0,0,4],[0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,3,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0],[0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0],[3,0,5,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,3,0,0,0,3,0,1,0,0,0,1,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2],[0,1,0,0,0,3,0,0,0,0,2,0,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1],] -- [[1,0,2,0,1,0,2,0,3,0,3,0,0,3,0,1,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,0,2,0,0,2,0,0,2,0,5,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[1,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0],[0,3,0,0,0,3,0,4,0,0,0,0,2,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,2,0,0,0,0,3,0,0,3,0,0,0,0,5,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[2,0,0,0,1,0,0,3,0,1,0,0,0,2,0,0,0,0,0,0],[0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,5,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,2,0,0,0,1,0,3,0,0,0,0],[3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0],[3,0,0,0,0,0,1,0,1,0,0,4,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,5,0,0,2,0,0,2,0,2,0,3,0,3,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,6,0,0,0,0,0,0,0,0,5,0,3,0,0,0],[0,0,2,0,4,0,0,0,2,0,0,6,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[5,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0],[5,0,0,4,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,1,0],[3,0,0,0,4,0,0,4,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,1,0,0,1,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,0,6,0,0,0,0,0,4,0,0,2,0],[0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0],] -- [[4,0,0,2,0,1,0,2,0,4,0,0,2,0,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,0,0,0,2,0,1,0,0,2,0,3,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,6,0,0],[0,0,2,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,7,0,0,0,0,0,0,0],[0,0,3,0,0,1,0,0,0,1,0,0,0,0,0,3,0,0,0,0],[3,0,0,0,2,0,1,0,3,0,3,0,0,1,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,3,0,2,0,1,0,1,0],[0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,2,0,0,1,0,0,0,0,0,0,0,5,0,0,1,0,2,0],[4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0],] -- [[5,0,1,0,1,0,2,0,0,4,0,2,0,2,0,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,5,0,0,0,0,0,1,0,1,0,0,0,3,0],[0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,5,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0],[6,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,1,0,0],[0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,2,0,5,0,0,0,0,1,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,2,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,3,0,0,2],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,1,0,3,0,0,0,1,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,2,0],[2,0,1,0,3,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,3,0,4,0],[0,0,0,0,0,3,0,2,0,0,1,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[1,0,6,0,3,0,0,2,0,2,0,0,2,0,3,0,1,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0],[0,0,0,0,1,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,3,0,0],[0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,7,0,0,0,0,0,0,0,1,0,4,0,3,0],[0,2,0,1,0,4,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,5,0,0,0,0,3,0,0,0,3,0,0,0,0,3,0,0,2],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,3,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[4,0,0,0,0,5,0,0,5,0,0,0,0,4,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0],[0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0],] -- [[1,0,3,0,0,3,0,1,0,3,0,0,0,2,0,4,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,1,0,2,0,1,0,0,2,0,0,0,0,0],[0,0,0,0,2,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,2],[0,3,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,0,0,0,5,0,0,0,0,0],[0,0,0,0,2,0,0,2,0,0,0,0,2,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,1,0,0,0,0,1,0,3,0,0,0,1,0,2],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0],[0,4,0,0,4,0,0,0,0,0,0,2,0,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,2,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,3,0,0,2,0,2,0,1,0,4,0,0,0,0,0,0,0,3],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,4,0,0,1,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0],] -- [[9,0,2,0,0,3,0,2,0,0,3,0,0,0,3,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,4,0,0,1,0,3,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,3,0,0,0,0,2,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,4],[2,0,2,0,1,0,4,0,0,0,0,1,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[0,2,0,1,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,1,0],[3,0,0,0,0,0,0,0,0,1,0,9,0,0,4,0,0,0,0,2],[0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,3],[0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,2,0,4,0,0,1,0,0,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,6,0,1,0,0,0,0,0,0,1,0,0,3],[0,5,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[0,0,0,6,0,0,2,0,2,0,0,0,2,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,2,0,0,0,0],[0,0,3,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3,0,2],[0,0,0,0,0,0,0,0,0,4,0,1,0,1,0,0,0,0,0,0],[0,3,0,0,3,0,4,0,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,3,0,0,3,0,0,3,0,4],[0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[1,0,0,0,3,0,0,3,0,1,0,0,0,0,0,3,0,2,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,3,0,0,0,3,0,0,3,0,3,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,4,0,5,0,2],] -- [[2,0,0,3,0,0,0,2,0,2,0,0,3,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,3,0,0,8,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0],[0,0,1,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0],[0,1,0,2,0,0,0,4,0,0,0,0,0,0,4,0,0,1,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,1,0,2,0,0,4,0,0,0,4,0,0],[3,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,10,0,0,0,1,0,0,4,0,1,0],[0,0,1,0,2,0,4,0,0,0,0,1,0,0,2,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,2,0,0,0,3,0,0,0,0,6,0,0,0,4,0,0],[3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[2,0,2,0,2,0,2,0,1,0,1,0,2,0,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,1,0],[2,0,0,7,0,0,0,0,0,0,0,1,0,0,4,0,0,2,0,0],[0,0,8,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,4],[2,0,0,0,0,0,0,0,0,0,3,0,0,0,9,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[0,2,0,0,0,0,0,6,0,2,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,7,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0],[3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,0,0,0],[0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,6,0,0,0,3,0,0,0,0,6,0,0,0,4,0,0],[0,0,6,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0],[2,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,2,0,2,0,1,0,1,0,3,0,0,3,0,1,0,3,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,3,0,0,4,0,0,0,0,3,0,3,0],[3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,0,0,0,0,3,0,2,0,1,0,0,0,0,0,0,2,0,0],[0,3,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,2],[0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0],[1,0,3,0,0,3,0,0,3,0,0,4,0,0,2,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0],[0,0,0,3,0,0,2,0,0,1,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,1,0,0,0,0],[3,0,2,0,2,0,0,0,2,0,1,0,0,0,0,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,5,0,1,0,1,0,3,0,0],[0,0,0,1,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0],] -- [[2,0,0,1,0,1,0,1,0,2,0,3,0,0,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,4,0,0,0,3,0,3,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4],[2,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,5,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,2,0,0,2,0,0,0,0,0],[0,3,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,1,0],[1,0,3,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,1],[0,0,0,0,0,0,0,2,0,3,0,0,0,3,0,0,0,3,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3],[0,0,0,0,3,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,0,0,4,0,0,0,0,4,0,0,0,2,0,4,0],[0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,2,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,2,0],] -- [[1,0,2,0,2,0,0,2,0,1,0,2,0,4,0,0,5,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,6,0,0,0,0,2,0,0,0,0,0,0,0,2],[0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0],[7,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,6,0,0,0,0,3,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,1,0,3,0],[0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,3,0,0],[0,0,2,0,2,0,0,2,0,0,0,0,3,0,0,1,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2],[0,0,0,2,0,0,1,0,0,3,0,0,0,0,0,1,0,0,0,0],[0,0,4,0,0,0,0,4,0,0,0,0,0,3,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0],[0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0],[1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0],] -- [[3,0,1,0,2,0,2,0,1,0,2,0,2,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,1,0,4,0,0,3,0,0,3,0,0,0,3],[0,0,0,0,2,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1],[1,0,1,0,0,0,0,2,0,0,3,0,0,0,0,0,3,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,2,0,6,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0],[9,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0],[0,0,1,0,0,0,0,0,1,0,4,0,0,0,0,0,0,4,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,6,0,0,1,0],[3,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[2,0,0,1,0,3,0,0,0,3,0,1,0,1,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,3,0,3,0,0,0,0,1,0,2,0,0,3,0,0,3],[0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,3,0,0,0,0,0,0,1,0,1,0],[3,0,3,0,0,0,0,0,0,0,0,0,3,0,0,1,0,2,0,0],[0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0],[0,4,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0],[0,0,0,1,0,1,0,2,0,5,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,2,0,2,0],[0,0,0,3,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0],[0,1,0,2,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,3,0,0,0,0,2,0,0,3,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],] -- [[0,3,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,4,0,1],[0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,1,0,1,0,0,0,7,0,0,2,0,0,0,3],[0,0,0,0,5,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,6,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,2,0,0,3,0,0,0,0,0,2,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,4,0,0,0,0,2,0,0,4,0,3,0,0,0,0,1,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3],[0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,1,0,6,0,0],[0,0,5,0,1,0,1,0,2,0,0,0,0,0,3,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,2,0,0,0,0,0,3,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0],[0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0],] -- [[0,1,0,2,0,1,0,0,0,4,0,1,0,0,3,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,1,0,0,4,0,1,0,4,0,3,0,0,0,0,2],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,5],[0,0,0,0,1,0,1,0,0,0,0,0,0,3,0,0,0,3,0,0],[0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,5,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,2,0,0],[0,0,0,0,0,3,0,1,0,0,2,0,0,0,0,0,0,0,0,7],[0,0,0,4,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,3,0,0,0,0,0,3,0,1,0,0,0],[0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0],[0,4,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,4,0,0,2,0,0,0,3,0,1],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,1,0,3],[0,0,5,0,2,0,0,0,0,3,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1],] -- [[4,0,2,0,0,4,0,0,0,0,1,0,1,0,1,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,1,0,3,0,0,0,0,0,3,0,1,0],[0,0,0,0,0,0,0,2,0,3,0,0,0,4,0,0,0,0,0,0],[0,3,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0],[0,0,0,4,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,5,0,0,4,0,0,0,0,1,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1],[4,0,0,0,0,1,0,4,0,1,0,0,0,0,0,0,7,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,2,0],[0,0,3,0,8,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,3,0,0,2,0,2,0,0,0,0,0,0,0],[3,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,0],[0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0],[2,0,0,1,0,1,0,0,0,4,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[3,0,2,0,1,0,3,0,4,0,2,0,0,3,0,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,8,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,3,0],[0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,1],[0,0,0,0,0,3,0,0,0,0,1,0,3,0,0,1,0,0,8,0],[0,0,0,3,0,0,0,3,0,3,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5],[0,2,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,5,0,0,3,0,0,0,4,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[0,3,0,0,0,0,0,1,0,1,0,0,3,0,4,0,0,0,0,0],[0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,5],[0,0,0,1,0,0,3,0,3,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,1,0,0,1,0,0,0,0,2],] -- [[0,0,3,0,0,0,0,0,3,0,0,3,0,0,0,0,0,3,0,2],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,6,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,7,0,0,0,0,0,0,0,2,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4],[0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,3,0,0,5,0,0,2,0,0,4,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,2,0,6,0,0,0,2,0,0,6,0,0,0,0,2,0,5],[0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,4,0,0,1,0,0,0,1,0,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,3],[0,0,0,0,2,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,3,0,0,0],[2,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0],[0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,3,0,0,0,1],] -- [[0,3,0,2,0,2,0,0,4,0,0,0,2,0,0,1,0,4,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,1,0,1,0,2,0,0,4,0,0,0,0,0],[3,0,2,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,3,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,1,0,0,0,6,0,0,3,0,0,0,0,0,0,3,0],[6,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,1,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0],[1,0,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,1,0,3,0,3,0,0,4,0,0,0,0,2,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,1,0,4,0,0,0,0,0,3,0,0,3],[3,0,0,1,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,4,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0],] -- 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[[2,0,2,0,6,0,1,0,3,0,2,0,3,0,3,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,4,0,3,0],[3,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,6,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,3,0,2,0,0,3,0,0,0,3,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,2,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,1,0,0,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,2,0,0,0,3,0,1,0,0,0,2,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,3,0,0,0,0,3,0,0,0,0,2,0,3,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,0,0,0,0,4,0,4,0,0,4,0,0],[2,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0],] -- 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[[0,0,0,1,0,0,0,0,4,0,0,0,3,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0],[0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,3,0,0,0,0,0,5,0,1,0,2,0,0],[0,2,0,0,3,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,2,0,0,0],[0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,4,0,2,0,0,0,0,2,0,0,2,0,1,0,1],[3,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,1,0,4,0,2,0,1,0,0,0,0,3,0],[2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,1],[0,1,0,0,3,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,3,0,3,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,2,0,0,3,0,0,0,0,0,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,4,0,1,0,0,3,0,3,0,3,0,1,0,0,0,3],] -- [[2,0,4,0,1,0,1,0,1,0,3,0,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,1,0,2],[2,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0],[2,0,0,1,0,1,0,2,0,0,0,2,0,3,0,0,2,0,0,0],[0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,3,0,0],[1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,3,0,0,0,0,7,0,0,4,0,0,0,0,0,2,0],[0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0],[1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,0,1],[0,0,3,0,0,0,4,0,0,0,2,0,0,0,1,0,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[1,0,5,0,0,2,0,0,0,0,0,1,0,1,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,1,0,0,0,0,0,3,0,0,4,0,2,0],[0,0,1,0,4,0,0,0,6,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,2,0],[0,0,0,1,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,4,0,0,0,2,0,0,3,0,0,2,0,0],[3,0,3,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,0,3,0,0,0],[1,0,3,0,0,0,0,4,0,3,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,4,0,3,0,0,2],[1,0,0,0,0,4,0,0,0,0,3,0,3,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0],] -- [[0,0,1,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,1,0,3,0,3,0,3,0,0,4],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,3,0,0,2,0,0,0,0,0,1],[0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,3],[0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,3,0,0,3,0,0,3,0,0,0,0,2],[0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,5,0,1,0,0,0,0,1,0,2,0,1,0,0,0,2,0,1,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1],[0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,1,0,0,0,0],[0,2,0,0,1,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,2,0,3,0,0,3,0,4,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,3,0,1,0,0,2,0,0,2,0,2,0,0,2,0,1],] -- [[5,0,4,0,0,1,0,3,0,6,0,1,0,2,0,1,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,1,0,3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,2,0,0,3,0,0,3,0,0,0,0],[6,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,1,0,1],[0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,4],[0,1,0,0,3,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[0,5,0,0,2,0,0,3,0,0,0,0,0,0,2,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,3,0,0,0,0,0,3,0,0,0,0],[0,0,2,0,0,0,0,5,0,0,0,0,0,0,4,0,0,0,3,0],[0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[1,0,6,0,0,0,1,0,2,0,0,4,0,0,0,4,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,2,0,0,3,0,0,0,2,0,0,0,0,4,0,0],[0,0,4,0,1,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0,3,0],[0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,3,0,0,0,0],[0,0,5,0,0,0,0,2,0,0,0,0,0,0,3,0,0,3,0,0],[3,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,4,0,0,4,0,0,0,2,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,4,0,1],[0,0,3,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,1],[4,0,0,0,4,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,4,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,0,3,0,1,0,2,0,0,1,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,6,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,1],[0,0,0,0,0,0,3,0,0,0,3,0,0,4,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0],[0,0,1,0,0,3,0,0,0,0,1,0,0,0,0,1,0,0,0,0],[3,0,0,4,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,2,0,3,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[8,0,0,0,0,0,0,0,0,1,0,0,3,0,0,1,0,1,0,0],[0,0,0,0,0,2,0,4,0,0,1,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0],[0,0,2,0,3,0,1,0,2,0,2,0,4,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2],[0,0,1,0,0,5,0,0,2,0,2,0,0,0,2,0,3,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1],] -- [[4,0,4,0,0,0,0,3,0,1,0,3,0,0,0,2,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,1,0,2,0,0,3,0,4,0,0,0],[0,0,4,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0],[0,3,0,0,0,0,3,0,0,0,4,0,0,2,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,1,0,0,0,0],[3,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,1,0,0,2,0,0,0,3,0,0,1,0,3,0,0],[3,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,6,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,3,0,2,0,0,0,0,2,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4],[0,0,0,0,2,0,2,0,0,0,0,1,0,0,0,5,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0],[2,0,3,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0],] -- [[2,0,0,3,0,0,0,1,0,2,0,1,0,3,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,1,0,0,3,0,0,0,0,2,0,2,0,0],[0,0,1,0,4,0,1,0,3,0,0,0,0,2,0,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0],[0,4,0,0,0,13,0,0,0,0,2,0,0,2,0,0,0,0,0,2],[0,0,0,2,0,0,0,2,0,1,0,0,0,0,0,3,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0],[0,0,2,0,0,0,0,0,0,1,0,0,2,0,8,0,2,0,0,0],[3,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,3,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,2,0,3],[3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,4,0,0,0,0,2,0,0,0,3,0,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0],] -- [[2,0,2,0,1,0,3,0,0,2,0,1,0,2,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,2,0,0,4,0,0,0,0,1],[5,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,4,0,0],[1,0,1,0,0,3,0,0,6,0,0,6,0,0,0,3,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,4,0,4,0,0],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,7,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,0,0,0,3,0,0,3,0,0,0,3,0,0,0,2,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,3,0,0,0,3,0,1,0,0,0,4,0,0,0,1],[0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[4,0,2,0,0,1,0,2,0,1,0,2,0,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,4,0,0,2,0,0,1,0,4,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,0,2,0,0,3,0,0,0,0,0],[4,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,3,0,1,0,0,0,0],[0,0,3,0,1,0,0,0,0,1,0,0,0,0,0,0,3,0,3,0],[6,0,0,0,0,0,0,4,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0],[0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3],[2,0,0,0,0,0,0,2,0,0,1,0,0,5,0,0,0,0,0,0],[0,0,7,0,0,0,2,0,0,0,0,3,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,1,0,1,0,2,0,3,0,0,0,3,0,0,1,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,0,2,0,0,1,0,2,0,6,0,0,0,0,0],[0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,3,0,0,1,0,2,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,1,0,2,0,6,0,0,0,3,0,0,1,0,1],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,0,3,0,0,1,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,1,0,0,2],[3,0,3,0,0,0,0,1,0,0,0,0,2,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,1,0,0,0,0,2,0,0,2,0],[9,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,4,0,0,0,0,0,4,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1],] -- 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[[2,0,1,0,3,0,0,0,0,0,1,0,2,0,5,0,0,5,0,0],[0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0],[2,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,1,0,0,0],[0,0,3,0,0,1,0,2,0,0,1,0,0,0,0,0,0,5,0,0],[3,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,4,0,0,0,0,3,0,2,0,0,3,0,0,0,4,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,4,0,0,6,0,0,0,0,1,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,2,0,0],[0,0,0,1,0,4,0,0,1,0,0,0,2,0,0,0,0,0,0,1],[3,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0],[0,0,0,3,0,0,5,0,0,0,0,7,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,1,0,1,0,1,0,2,0,2,0,4,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,2,0,0,0,6,0,0,5,0,0,4,0,1,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,3],[0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,3,0,0,0,3,0,0,0,1,0,1,0,2,0,0],[0,1,0,0,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,3,0,2,0,0,0,0,3,0,0,0,0,3,0,3,0,2,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,5,0,0,0,4,0,0,2,0,0,3,0,4,0,1],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,1],[0,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,2,0],[2,0,0,0,3,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,1,0,2,0,0,0,3,0,3,0,0,0,2],[0,0,3,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,1],[0,1,0,2,0,0,4,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,1],[0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,4,0,0,1,0,0,0,0,3,0,0,0,4,0,1,0,0],[1,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,2],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,0,0,2,0,3,0,0,2,0,3,0,0,3,0,1],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3],[0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,6,0,5,0,2],[0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,4,0,0,1,0,0,2,0,0,3,0,0,5,0,0,1,0,1],] -- [[4,0,2,0,0,2,0,0,3,0,3,0,2,0,6,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0],[7,0,0,0,4,0,0,2,0,4,0,0,0,0,1,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,0,2,0,0,0,2,0,0,0],[0,0,0,0,2,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,1,0,0,0,0,3,0,1,0,0,0,0,0,0,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,2,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,2,0,0,2,0,0,0,1,0,2,0,1,0,0],[5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,3,0,0,3,0,2,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,2,0,0,0,0,0,0,0,0,3,0,0,3,0,1],[3,0,0,0,1,0,0,1,0,2,0,0,3,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,2,0],] -- [[1,0,1,0,3,0,0,0,2,0,0,3,0,3,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,1,0,5,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,3,0,3,0,3,0,0,0],[0,0,0,0,3,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0],[7,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,3,0,2,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,3,0,0,0,1,0,3,0,0,1,0,1,0,0,3,0,0,0],[5,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,3,0,3,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[3,0,0,0,0,1,0,3,0,0,0,5,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,2,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,1,0,0,2,0],] -- [[2,0,1,0,2,0,2,0,0,2,0,1,0,1,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,2,0,3,0,0,3,0,2,0,0,5,0,2,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0,1,0],[4,0,0,3,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0],[0,0,2,0,2,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,10,0,0,0,0,1,0,4,0,0,0],[0,0,4,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,3,0],[8,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0],[0,0,1,0,2,0,0,0,0,3,0,0,1,0,7,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[1,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1],] -- [[1,0,1,0,2,0,2,0,0,1,0,1,0,2,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,2,0,0,3,0,0,0,2,0,3,0,0,0,2,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,4,0,0,0,2,0,2,0,7,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,2,0,0,0,1,0,3,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,1],[0,0,2,0,0,1,0,1,0,0,0,0,0,3,0,3,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0],[0,3,0,3,0,0,0,1,0,0,4,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1],[0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,2,0,0,0,1,0,0,4,0,0,0,0,0,3,0],[1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,1,0,0,0,0,0,0],[2,0,2,0,3,0,0,0,0,0,0,1,0,0,3,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],] -- 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[[2,0,0,3,0,2,0,2,0,0,3,0,0,1,0,2,0,4,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,1,0,2,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,1,0,3,0,0,3,0,0,1,0,2],[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0],[1,0,3,0,0,0,2,0,0,1,0,0,0,0,3,0,0,1,0,0],[0,0,0,0,3,0,0,0,1,0,0,0,4,0,0,0,6,0,2,0],[3,0,1,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0],[0,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0],[3,0,0,1,0,0,1,0,0,0,0,0,2,0,0,7,0,0,0,0],[0,0,1,0,1,0,0,1,0,3,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3],[0,4,0,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,2,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,2,0,0,2,0,0,3,0,2,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,3,0,3,0,0,0,0,0,1,0,3,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,3],[1,0,0,0,0,0,0,0,4,0,1,0,0,2,0,0,0,0,0,0],[0,4,0,0,2,0,0,0,0,0,0,3,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,3,0,0,0,3,0,0,1,0,4,0,0,0,0,4,0,0],[0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3],[0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0],[0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3],[3,0,0,0,0,0,1,0,0,0,0,3,0,0,2,0,3,0,0,0],[0,0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,5,0,0,5,0,1,0,4,0,0],[2,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,0,3,0,0,4,0,0,0,0,0,2,0,3,0],[0,0,2,0,0,0,0,0,3,0,0,0,0,5,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0],[0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,6,0,0,0,1,0,0,0,0,5,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[1,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,5,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,4,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,2,0,0,5,0,1,0,0,0,3,0,0,0,2,0,0],[1,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,2,0,0,4,0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,2,0,2,0,2,0,3,0,0,4,0,0,0,3,0],] -- [[1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,1,0],[8,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,2,0,0,0],[0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,2,0,0,0,0,3,0,2,0,0,3,0,0,0,0],[0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0],[1,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,4,0,2,0,0,0,0,0,0,0,1,0,3,0,0,0],[2,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,2,0,0,6,0,0,0,3,0,5,0,0,0],[0,0,2,0,0,3,0,0,0,0,0,3,0,0,0,0,0,2,0,0],[1,0,0,2,0,0,0,2,0,0,1,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,3,0,0],[0,0,3,0,0,3,0,0,0,4,0,0,1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,4,0,0,0,3,0,0,1,0,2,0,0,2,0,3,0,0,2],] -- [[5,0,1,0,2,0,0,4,0,5,0,0,3,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,5,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0],[0,0,5,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1],[4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,1,0,2,0,1,0,1,0,0,0,1,0],[0,0,2,0,0,0,5,0,0,0,0,0,0,2,0,4,0,0,0,1],[0,0,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,0,0,1,0,3,0,0,0,4,0,0,0,3,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,2,0,0],[2,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,2],[0,0,8,0,2,0,0,3,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,3,0,0,0],[4,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1],] -- [[2,0,0,2,0,3,0,0,2,0,0,3,0,0,4,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,3,0,0,3,0,0,0,2,0,2,0,4,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,1,0],[4,0,0,2,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,2,0,3,0,1,0,2,0,0],[0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,2],[1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,1,0,0,0,0,0,7,0,0,0,3,0,0],[0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0],[3,0,1,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,1,0,1,0,4,0,0,3,0,0,1,0,0],[3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,1,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2],[2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],] -- [[3,0,0,0,2,0,0,1,0,2,0,0,4,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,2,0,2,0,0,1,0,5,0,0,6,0,0,2,0,3],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,4,0,1,0,4,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,2,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,4,0],[0,0,2,0,2,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,0,2,0,0,3,0,1,0,2,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0],[0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,5,0,0,0,2,0,0,1,0,0,0,0,0,4,0],[2,0,3,0,0,0,0,0,0,0,0,4,0,1,0,0,0,2,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,1],[0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1],] -- 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[[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[2,0,0,0,1,0,1,0,3,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,1,0],[1,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,3,0,3,0],[0,0,0,0,0,2,0,0,0,2,0,0,0,0,2,0,0,1,0,0],[3,0,0,3,0,0,0,0,0,0,1,0,3,0,0,0,1,0,0,0],[0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,1,0,2],[0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,2,0,0,0,0,1,0,3,0,0,0,4,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,0,0,1,0,3,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,3,0,3,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,2,0,0,1,0,2,0,3,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,5,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,4,0,0,4,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,1,0,2,0,2,0,3,0,0,0,2,0,0,3],] -- [[2,0,1,0,3,0,0,2,0,1,0,1,0,5,0,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,3,0,0,0,5,0,0,1,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,2,0,0,0,0],[6,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,1,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0],[0,0,0,0,10,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0],[3,0,2,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,1,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,1,0,0,0,0,2,0,0,0,0,0],[0,0,0,3,0,0,0,0,1,0,3,0,0,0,0,0,3,0,1,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,2,0,0,6,0,0,0,0,0,3,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,3,0,0,0,0,0,1,0,3,0,3],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[2,0,3,0,0,0,2,0,2,0,2,0,0,2,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,1,0,1,0,0,0,5,0,0,3,0,2,0,2,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[2,0,1,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,5,0,0,0,0,1,0,2,0],[0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,4,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,5,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0],[0,0,0,2,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,1,0,0,2,0,0,0,3,0,0,3,0,0,0],[0,4,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,3,0,0,3,0],[2,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,2],[0,0,0,3,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,4,0,2,0,0,4],[0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,10,0,2,0,0,0,0,0,0,0,1,0,0,0],[1,0,3,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3],[0,0,0,1,0,1,0,2,0,0,3,0,0,2,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,1],[0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,1,0,3,0,0,0,0,3,0,0,0,0,0],[0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0],[0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,2,0,2],[0,0,0,3,0,3,0,2,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,1,0,1,0,0,0,3,0,0,0,3,0,3,0,2,0,2],] -- [[2,0,7,0,2,0,1,0,1,0,2,0,0,3,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,3,0,0,0,2,0,0,0,1,0,2],[3,0,0,0,0,0,3,0,5,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,2,0,2,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,1,0,0,3,0,3,0,3,0,2],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0],[0,4,0,0,0,3,0,0,6,0,0,0,3,0,0,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2],[0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0],[3,0,0,4,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],] -- [[3,0,0,3,0,2,0,3,0,2,0,1,0,3,0,2,0,4,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,8,0,2,0,1,0,1,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0],[0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,1,0,0,0],[0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,3],[0,0,0,0,0,0,3,0,0,0,1,0,0,0,2,0,1,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,5,0,0],[0,0,1,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,2,0,0,0,2,0,0,5,0,0,0,0,0,0,0,1],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0],[0,0,3,0,0,4,0,0,0,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,1,0,3,0,2,0,2,0,1,0,0,0,4],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],] -- [[0,1,0,0,2,0,0,3,0,0,3,0,1,0,0,3,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,7,0,0,3,0,1,0,2,0,0,0,0,5,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,2],[0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,3,0,0,0,2,0,0,3,0,0,2,0,0,1,0,0,2],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,3,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,3],[0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,1,0,3,0,0,0,0,4],[0,0,2,0,0,0,1,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,0,2,0,0,4,0,0,0,0,0,6,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4],[0,0,0,3,0,0,2,0,0,0,1,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,3],[0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,2,0,0,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,2],] -- 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[[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[1,0,1,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,2,0],[0,0,0,4,0,0,0,0,0,0,1,0,3,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,2,0,0],[0,3,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0,0,2,0,0],[3,0,0,0,4,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0],[0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,3,0,0,0,0,0,0,2,0,0,3,0,0,1,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0],[0,0,0,3,0,0,4,0,0,0,3,0,0,3,0,0,0,1,0,0],[0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0],[0,4,0,0,0,0,0,1,0,1,0,2,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,2,0,2,0,1,0,1,0,2,0,1,0,2,0,0,4],] -- [[3,0,2,0,3,0,2,0,1,0,2,0,2,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,6,0,0,0,1,0,4,0,0],[0,1,0,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0],[1,0,3,0,0,0,2,0,2,0,2,0,1,0,0,1,0,0,2,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[5,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1],[0,0,1,0,2,0,0,2,0,0,2,0,0,1,0,2,0,0,0,0],[0,0,0,3,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,3,0,0],[1,0,2,0,0,0,0,0,2,0,0,0,0,3,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,3],[1,0,0,3,0,0,1,0,7,0,0,0,0,0,3,0,0,0,0,0],[0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,1,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,2],[0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0],] -- [[4,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,3,0,3,0,0,3,0,1,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[4,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,2,0,0],[0,0,3,0,1,0,3,0,0,2,0,0,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,2],[0,0,0,0,2,0,1,0,0,0,2,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,3,0,0],[0,4,0,1,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,9,0,3,0,0],[0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,3,0,2,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,1,0,1,0,0,2,0,0,2,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1],] -- [[3,0,0,0,2,0,0,2,0,0,3,0,3,0,0,3,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,5,0,0,1,0,0,0,3,0,3,0,0,1,0,0],[0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,3,0],[0,0,2,0,0,0,1,0,2,0,0,0,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,4,0],[0,0,0,1,0,1,0,2,0,0,0,4,0,0,0,1,0,0,0,0],[0,0,2,0,1,0,0,0,0,1,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,4,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0],[0,0,0,0,0,2,0,2,0,3,0,1,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,6,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0],[0,0,0,0,3,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,1,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[2,0,3,0,2,0,0,2,0,0,1,0,2,0,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,2,0,1,0,6,0,0,0,1,0,1,0,2],[3,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,7,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,3,0,0,2,0,0,0,0,0,0],[4,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,0,0,1,0,0,2,0,3,0,2,0,1,0,0,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[2,0,3,0,0,0,0,0,0,0,1,0,0,1,0,0,3,0,0,1],[0,0,0,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0],[3,0,2,0,0,1,0,0,0,0,10,0,0,5,0,0,1,0,0,0],[0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,0,2,0,0,3,0,0,0,0,0,0,1,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3],[0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,2,0,0,0,0],[0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[4,0,0,2,0,0,1,0,3,0,3,0,0,1,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,1,0,0,0,2,0,4,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,1,0,0],[5,0,1,0,1,0,1,0,0,5,0,0,1,0,0,0,0,0,1,0],[0,0,0,2,0,2,0,3,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,1,0,7,0,0,0,0,2,0,0,0],[2,0,0,5,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,2,0],[0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,1,0,0,0,1,0,3,0,0,0,3,0,0,0,0,3,0],[0,3,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,3,0,0],[0,0,0,2,0,0,0,0,1,0,6,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,0,0,3,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0],] -- [[1,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,2,0,3,0,0,0,4,0,0,0,3,0,1],[0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,6,0,0,3,0,1,0,2,0,5,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,5,0,1,0,0,0,2,0,0,0,2,0,3,0,0,0,0,0],[2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0],[0,0,0,0,5,0,0,0,0,4,0,0,0,2,0,0,2,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,3,0,0,0,0,0,0,2,0,0,2,0,0],[2,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,3,0,0,0,0,0,0,0,2,0,5,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,0,1,0,1,0,3,0,0,0,5,0,0,3,0,3,0,0,1,0],] -- 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[[3,0,6,0,0,0,4,0,0,2,0,1,0,6,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,1,0,2],[0,8,0,0,3,0,2,0,0,2,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,2,0,2,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,1,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,1,0,1,0,2,0,0,3,0,1,0,6,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0],[2,0,0,2,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,3,0,0,2,0,0,0,0,1,0,0,0,0,1,0],[1,0,1,0,3,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0],[3,0,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0],[0,0,1,0,1,0,3,0,0,3,0,0,0,2,0,1,0,1,0,0],[3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0],] -- 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[[3,0,0,0,1,0,1,0,1,0,2,0,4,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,3,0,0,0,1,0,0,1,0,2,0,1,0,1,0,2],[0,0,0,1,0,0,0,1,0,4,0,0,0,0,0,0,2,0,0,0],[0,1,0,0,2,0,0,0,0,0,0,2,0,0,2,0,0,0,3,0],[0,0,2,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,0,3,0,1],[0,1,0,4,0,0,0,1,0,2,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,1,0,1,0,7,0,0,0,0,0,3,0,1,0],[0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,1,0,1,0,0,0,3,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,0,2,0,0,0,1,0,3,0,2,0,2,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0],] -- [[0,0,3,0,1,0,3,0,0,0,7,0,1,0,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,1,0,2,0,0],[0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,2,0,3,0,0,3,0,0,2],[0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,3,0,0,0,1,0,0,0,0,7],[0,0,0,1,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,2,0,0,1,0,0,0,3,0,0,1,0,0,0,0,0],[0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0],[1,0,0,0,2,0,0,0,0,4,0,1,0,0,0,1,0,0,0,1],[0,0,3,0,0,3,0,0,0,0,3,0,1,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,1],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0],[0,1,0,0,0,3,0,0,0,1,0,1,0,0,0,0,2,0,0,4],[0,0,1,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0],[0,1,0,0,0,4,0,0,0,0,0,3,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,3],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],] -- [[1,0,5,0,4,0,0,4,0,4,0,0,0,2,0,0,4,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,2,0,11,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,3,0,1,0,1,0,0,1,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,3,0,0],[1,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,4],[0,3,0,0,0,6,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,2,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0],[8,0,0,0,0,0,0,3,0,1,0,0,0,0,1,0,0,0,3,0],[0,0,0,0,0,3,0,0,0,0,1,0,6,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,2,0,0,3,0,5,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1],[0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,1],] -- [[3,0,1,0,2,0,0,1,0,3,0,1,0,3,0,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,3,0,0,4,0,0,0,2,0,3,0,0,0,2,0,3,0],[3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,3,0,2,0,1,0,2,0,4,0,0],[0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,3,0,0,0],[2,0,0,3,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,1,0],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,1,0,3,0,1,0,2,0],[0,0,0,8,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,4,0,1,0,0,2,0,0,0],[4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,3,0,0,0,0,0,0,5,0,0,0,0],[3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0],] -- [[1,0,2,0,0,3,0,0,2,0,0,3,0,0,2,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,0,2,0,0,0,1,0,3,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[4,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,4,0,0,1],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,3,0,0,0,0,3,0,0,3,0,0],[0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0,0,3,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,5,0,0,0,0],[1,0,1,0,4,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,2,0,0,0,0,4,0,0,0,1,0,3,0,0,0,0,0],[3,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,2,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0],] -- 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[[4,0,0,0,2,0,0,0,0,3,0,0,4,0,1,0,0,0,0,1],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0],[2,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3],[0,0,2,0,0,2,0,0,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[2,0,0,0,0,4,0,0,0,0,1,0,0,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,9,0,0,0,0,0,2,0,0],[3,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,5,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0],[3,0,0,3,0,3,0,0,0,0,0,0,0,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,2,0,0],[3,0,0,0,2,0,0,3,0,2,0,0,0,0,1,0,1,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,2],[2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,5,0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,3,0,0,0,0,1,0,4,0,0,0,0,0,0],] -- [[3,0,2,0,0,2,0,0,1,0,2,0,2,0,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,3,0,0,0,0,1,0,3,0,1,0,3,0,3],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0],[10,0,0,0,0,0,0,3,0,0,3,0,0,0,3,0,0,0,3,0],[0,0,0,6,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],[0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,3,0,3,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0],[0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,4,0,0],[0,0,0,0,4,0,0,0,4,0,0,0,3,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,5,0,0,0],[2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1],[0,1,0,2,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,3,0,0,1,0],[2,0,0,0,3,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2],[1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[1,0,4,0,0,0,1,0,3,0,4,0,2,0,0,2,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0,4,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1],[0,0,3,0,1,0,0,1,0,0,0,4,0,0,2,0,0,0,0,0],[3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,1,0,2,0,4,0,0,0,0,0,0,2,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,3],[0,3,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[3,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,3,0,0,0,0,0,0,1,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,1,0,0,0,0,1,0,4,0,3,0,0,1,0],[0,0,6,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,2,0,3,0,0,0,2,0,3],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0],] -- [[1,0,1,0,1,0,2,0,5,0,0,1,0,1,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,0,0,0,3,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,7,0,0,0,0,0,0,1,0,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0],[0,0,0,1,0,2,0,4,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0],[2,0,2,0,1,0,4,0,0,0,0,0,0,2,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2],[0,3,0,0,2,0,0,0,1,0,1,0,3,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,5,0,0,2,0,0,0,4,0,3,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0],[1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,3,0,0,0,2,0,2,0,0,0,0,2,0,0,0],[3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0],[1,0,3,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[0,2,0,2,0,1,0,0,5,0,4,0,0,3,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,3],[0,4,0,3,0,0,4,0,1,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,1],[0,0,0,0,0,1,0,0,2,0,1,0,0,2,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,4,0,0,0,3],[2,0,0,1,0,4,0,2,0,2,0,0,0,0,0,0,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,1,0,0,0,0],[1,0,0,2,0,0,1,0,0,0,3,0,0,0,3,0,1,0,0,1],[0,0,0,0,0,1,0,6,0,0,0,0,4,0,0,0,0,0,1,0],[0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3],[0,2,0,0,2,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,3,0,0,0,0,0,0,0,5,0,1,0,1,0,1],[2,0,0,0,0,0,0,2,0,0,3,0,0,0,1,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,2],] -- [[2,0,0,2,0,0,2,0,3,0,0,4,0,0,2,0,4,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,0,1,0,3,0,1,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,1,0,0,0,0,0,3,0,0,3,0,0],[10,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0],[0,0,1,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,3,0,0,1,0,4,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,2,0,0,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,3],[1,0,1,0,4,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0],[0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,2,0,0,0,0],[1,0,4,0,0,0,2,0,2,0,2,0,1,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,2],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,1],[0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0],[1,0,4,0,0,0,0,1,0,1,0,0,3,0,0,0,0,0,1,0],[0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0],[5,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,3,0,0,4,0,2,0,0,0,0,0,0,0,0,0,3,0,0],[3,0,0,2,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0],[1,0,0,7,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,2],[0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0],[1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0],[1,0,0,0,0,5,0,0,2,0,0,0,0,0,0,0,4,0,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,3,0,0,4,0,0,0,3,0,0,3,0,0,0],] -- 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[[1,0,3,0,0,2,0,0,2,0,0,2,0,2,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,2,0,2,0,0,3,0,0,4,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,2,0,0],[0,5,0,0,3,0,0,0,0,3,0,0,0,1,0,2,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,2,0,4,0,0,2,0,0],[3,0,0,3,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,3],[2,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,3,0,0,0,1,0,1,0,3,0,0,0,0,0,2,0,0,0],[1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,4,0,0,0,7,0,1,0,1,0,4,0,0,3,0,0],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,1,0,2,0,0,3,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0],] -- 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[[2,0,0,2,0,3,0,0,1,0,2,0,4,0,0,3,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,0,2,0,0,0,1,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,3,0,0,0,2,0,0,3,0,0,0,0,0,1],[1,0,0,8,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,1,0,0,0,2,0,0,0,0,4,0,0,2],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,4,0,0],[3,0,0,0,0,0,3,0,0,0,0,1,0,1,0,1,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,0],[2,0,1,0,3,0,0,2,0,0,0,0,2,0,0,0,0,0,2,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,3,0,0,3,0,0,0,1,0,1,0,1,0,2],[0,0,0,0,0,0,0,0,3,0,0,3,0,0,5,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,2,0,0,3,0,3,0,0,2,0,0,3,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,2,0,0,0,1,0,3,0,2,0,0,0,5,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,2,0,1,0,3,0,0,0,0,1,0,0,0,0,0,0,3,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0],[0,0,0,1,0,2,0,2,0,0,2,0,0,1,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1],[3,0,0,3,0,0,0,2,0,0,0,2,0,4,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,3,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,4,0,0,0,0],[2,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,1,0,0,3,0,0,1,0,4,0,1,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0],[2,0,3,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,2],[0,0,0,0,1,0,2,0,0,0,2,0,3,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1],] -- 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[[1,0,3,0,0,3,0,0,0,0,0,1,0,3,0,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,1,0,2,0,0,0,0,0,3,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,2,0,0],[0,0,0,0,1,0,1,0,1,0,2,0,0,1,0,2,0,0,0,3],[3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,1,0,1,0,3,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,2,0,4,0,1,0,0,0,2,0,0,0,0],[2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0,0,0,0,0,4,0,1,0,0,0,0,0],[0,3,0,0,2,0,2,0,0,0,0,0,0,0,0,3,0,1,0,3],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[2,0,4,0,0,2,0,0,0,3,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,3,0,0,3,0,0,1,0,2,0,0,0,0,3],[3,0,1,0,3,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0],[0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,2,0,2],[0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[2,0,3,0,3,0,0,1,0,3,0,2,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,0,0,0,1,0,2,0,2,0,1,0,2],[8,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,0,1,0,0,4,0,0,0,0,0,0,3,0],[0,0,0,1,0,0,3,0,0,2,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,1,0,2,0,1,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,1,0,3],[2,0,6,0,0,0,0,0,0,0,0,0,0,4,0,6,0,0,0,0],[0,0,0,0,0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,4,0,0,0,0,0,3,0,0,0,2,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,2,0,0,0],[0,0,0,0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,2,0,0,0,0,0,1,0,2,0,3,0,3,0],[0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,2,0],] -- [[1,0,1,0,2,0,2,0,4,0,0,0,3,0,5,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,1,0,1,0,8,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,1,0,5,0,0,3,0,0,2,0,0,0,0,0,1,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,2,0,0,0],[2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,3,0,0,0,0,0,4,0,1,0,3,0,0],[0,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,2,0,0,2],[0,0,2,0,0,5,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,3,0,3,0,0,0,0,3,0,0,3,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0],[1,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,1],] -- [[0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,2],[0,0,0,0,0,3,0,0,0,0,4,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0],[2,0,2,0,0,0,0,0,5,0,1,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,3],[0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,2,0,0,0,0],[0,3,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,2],[0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,4,0,0],[0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2],[4,0,0,4,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,4,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,0,0,4,0,0,0,3,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,4,0,1,0,1,0,0,8,0,0,2,0,1],] -- [[1,0,2,0,0,3,0,0,0,1,0,3,0,1,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,3,0,0,2,0,1,0,0,0,3,0,0,2,0,2,0],[0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,4,0,0],[1,0,4,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,2,0,1,0,0,0,0,0],[6,0,0,0,3,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,2],[1,0,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,1,0,0],[2,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0],[0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4],[2,0,0,0,2,0,1,0,0,0,3,0,0,0,2,0,0,1,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,3,0,0,0,1,0,0,0,1,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[3,0,3,0,0,0,1,0,3,0,0,3,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,3,0,0,0,0,0,3,0],[4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,3,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0],[0,0,7,0,1,0,1,0,1,0,3,0,0,0,0,4,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,1],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,3,0,0,0,1,0,0,3,0,0,1],[0,0,5,0,0,1,0,2,0,0,0,0,3,0,4,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,3,0,5,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,4,0,0,1,0,3,0,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],] -- [[2,0,3,0,0,3,0,2,0,0,2,0,1,0,1,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,1,0],[1,0,4,0,0,0,4,0,0,0,7,0,0,5,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,4,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,6,0,4,0,0,1,0,1,0,6,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[3,0,0,0,0,5,0,0,0,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,1,0,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0],[4,0,0,0,1,0,0,4,0,0,0,5,0,0,0,0,0,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,0,0,1,0,0,5,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1],[2,0,2,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,2,0],] -- 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[[4,0,2,0,0,4,0,2,0,0,3,0,0,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,3,0,0,4,0,1,0,0,5,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0],[3,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,4,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,3,0,0,0,2,0,0,0,0,0],[1,0,5,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[4,0,0,0,0,1,0,4,0,0,0,1,0,0,4,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,2,0,0],[0,0,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,2,0,0],[0,4,0,5,0,1,0,0,0,3,0,0,0,3,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,2,0,0,1,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0],] -- [[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0],[2,0,0,0,3,0,0,3,0,0,0,0,1,0,0,4,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,4],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,2,0,0,3,0,1,0,0,0,5,0,0,3,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1],[0,0,0,4,0,0,4,0,0,4,0,0,0,0,3,0,1,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,4],[1,0,0,0,1,0,0,4,0,4,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1],[0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,3,0,1,0,0,0,3,0,0,0,0,0,0],[0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,7],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,6,0,0,0,2,0,2,0,0,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,6,0,0,3,0,0,4,0,0,3,0,1],] -- [[2,0,2,0,2,0,1,0,4,0,0,3,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,7,0,0,0,0,0,0,0,3,0,0,0,0,0,3],[5,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,4,0,0,0],[0,0,0,0,3,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0],[3,0,1,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,3],[0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,3,0,0,0,0,0,0,1,0,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0],[0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0,0,3],[0,1,0,3,0,3,0,3,0,4,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,4,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0],[4,0,0,0,0,2,0,2,0,0,0,2,0,2,0,4,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,1,0,0],] -- [[1,0,2,0,2,0,0,1,0,2,0,0,4,0,3,0,4,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,3,0,3,0,0,4,0,1,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,2,0,4,0,1,0,0,0,0],[4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0],[1,0,0,4,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,3],[0,3,0,0,0,0,0,0,0,0,0,0,0,10,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0],[0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2],[4,0,2,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,3,0,0,0,0,0,0,4,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,5,0,0,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[2,0,0,3,0,0,0,0,0,0,0,3,0,0,0,2,0,1,0,1],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[4,0,3,0,4,0,0,0,1,0,2,0,1,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,2,0,0,3,0,0,0,1,0,0,0,4,0,3,0,0],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,2,0,0,0,0,0,0,3,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,1,0,2,0,4,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,3,0,1,0],[3,0,0,7,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,4,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,2,0,0,0,0,2,0],[0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,3,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2],[3,0,2,0,0,0,0,0,1,0,3,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,3,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1],] -- [[2,0,2,0,2,0,2,0,0,1,0,2,0,2,0,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,3,0,0,2,0,5,0,0,0,0,0,1,0],[4,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,3],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,0,0,0,0,0,4,0,0,5,0,0,0],[0,0,0,0,0,0,5,0,0,1,0,1,0,0,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,0,2,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2],[0,3,0,0,0,0,0,0,0,2,0,3,0,0,4,0,0,0,0,0],[0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,2,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,0,3,0,0,0,0,1,0,1,0,0],[4,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0],] -- [[1,0,1,0,0,0,2,0,0,0,4,0,0,0,3,0,1,0,1,0],[0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,3,0,0,0,3,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,5,0,0,0,3,0,0,0,1,0,0,0,3,0,0],[0,0,4,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,4,0,0,2],[0,0,0,0,5,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,3,0,0,2],[0,0,3,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,2,0,0,0,0,0,3,0,0,0,3,0,0],[1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0],[0,0,0,3,0,0,0,2,0,0,2,0,0,0,0,1,0,0,0,0],[3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,1,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,0,1,0,1,0,2,0,0,2,0,2,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,5,0,9,0,0,2,0,1,0,0,0,2,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,1,0,0,2,0,0,0,0,1,0,0,0,0,4,0,0,0,0,1],[0,0,5,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,4,0,0,0,2,0,10,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0],[0,0,0,0,2,0,2,0,0,2,0,3,0,4,0,0,0,0,0,0],[0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2],[4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,3,0,1,0,0,0,0,0,2,0,0,1,0,4,0,0],[2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0],] -- [[4,0,0,0,0,1,0,2,0,0,2,0,3,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,0,3,0,3,0,5,0,0,4,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,4,0,0,0,1,0,0,0,3,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,2,0,0,0],[9,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,0,0,0,2,0,0,3,0,2,0,2,0,0],[0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,0,2,0,0,0,2,0,0,0,0,0,4,0,0,2,0,1,0],[0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2],[2,0,0,0,3,0,2,0,0,0,4,0,0,0,0,0,0,1,0,0],[0,0,6,0,0,0,0,0,1,0,0,0,0,4,0,1,0,0,3,0],[1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- 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[[0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,4,0,0,0,1,0,0,0,0,3,0],[0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,3,0,2,0,0,0,4,0,0,0,0,0,0,0,1,0],[2,0,2,0,0,0,0,0,2,0,0,0,0,4,0,0,2,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,2,0,0,0],[0,0,3,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,1],[1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,3,0,0,0,1,0,0,2,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,1,0,0],[0,0,3,0,0,0,0,7,0,0,0,0,0,2,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,2,0,0,2,0,0,0,3,0,0,0,3],[0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,2,0,1,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,4,0,0,1,0,1,0,3,0,0,0,5,0,0,1],] -- [[1,0,3,0,0,3,0,1,0,3,0,0,0,2,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,3,0,0],[0,0,2,0,0,0,5,0,0,3,0,0,0,1,0,1,0,0,0,3],[0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,0,3,0,0,1,0,2,0,0,0,0,0,0,0,3,0],[5,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,4,0,4,0,1,0,3,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,5,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,3],[2,0,0,0,0,0,0,3,0,4,0,1,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0],[0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,6,0,0,1,0],[3,0,0,3,0,0,3,0,0,0,0,0,3,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2],[0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[1,0,4,0,0,1,0,2,0,1,0,3,0,0,3,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,4,0,0,2,0,2,0,0,0,0,0,4,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,0,4,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,5,0,0,1,0,2,0,1],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,1,0,0,0,0,2,0,2,0,6,0,0,0,4,0,0,3,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,2,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[4,0,0,2,0,2,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,5,0,0,0,0,3,0],[0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,5,0,0,0,0,0,1,0,0,3,0,0,3,0],[1,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[2,0,2,0,2,0,1,0,1,0,3,0,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,3,0,0,1,0,1,0,1,0,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,4,0,0],[0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,4,0,0,0,0,2,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[3,0,5,0,0,3,0,0,0,1,0,3,0,0,6,0,0,0,5,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,3,0,2,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0],[3,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[1,0,3,0,0,3,0,0,2,0,0,2,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,2],[7,0,0,0,0,0,0,0,3,0,4,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,2],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,4,0,2,0,0,1,0,1,0,2,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,5,0,0,0,0,0,3,0,0,3,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0],[1,0,2,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,1,0,0],[4,0,0,0,0,0,0,0,1,0,0,1,0,4,0,0,0,0,3,0],[0,0,3,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,4,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,2,0,1,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,7,0,0,0,0,0,2,0,2,0,5,0,0,0,0,2],[3,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0],[0,3,0,0,2,0,0,0,0,4,0,1,0,1,0,0,0,0,3,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],] -- 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[[2,0,6,0,3,0,0,0,1,0,2,0,0,1,0,2,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,3,0,0,0],[1,0,0,0,0,0,0,2,0,0,3,0,0,0,3,0,0,0,0,0],[0,3,0,0,0,3,0,0,0,3,0,0,2,0,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,0],[0,0,0,2,0,0,0,2,0,0,0,0,0,3,0,0,0,0,2,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,0,3,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,2,0,0],[0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,0,0,1,0,2,0,0,0,3,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,3,0,0,4,0,0,0,0,3,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,5,0,2,0,0,0,0,0,0,0],[1,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,2,0,0,1,0,0,0],[1,0,2,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[4,0,0,0,0,0,0,2,0,2,0,0,6,0,0,3,0,0,0,0],[0,0,1,0,4,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1],[0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,2,0,0,0],[2,0,1,0,0,0,0,4,0,1,0,0,0,0,2,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,4,0,0,0,0,3,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,3,0,0,0],[0,0,0,4,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,4,0,11,0,0,0,0,2,0,0,3,0,1,0],[0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,3,0,0,1,0,0,0,0,3,0,0,0,1,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,0,5,0,1,0,5,0,1,0,3],[0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,1,0,4,0,0,0,3,0,0,0,3,0,3,0,0,0],[2,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,4,0,0,0,0,0,3,0,0,0,4,0,2],[0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,3,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,4,0,0,0,0,2,0,1,0,1,0,0,0,0,0,2,0,0],[0,0,0,1,0,4,0,0,0,0,0,0,1,0,4,0,1,0,0,0],[3,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,2,0,0,0,0,0,0,0,3,0,4,0,0,1,0,0],[4,0,0,0,0,5,0,0,2,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,1,0,3,0,0,0,2,0,2,0,3,0,0,3,0],] -- [[3,0,3,0,0,3,0,0,0,4,0,0,0,1,0,4,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,5,0,1,0,1,0,0,0,2,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,0,4,0,1,0,2,0,0,0,0],[0,0,0,4,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0],[3,0,0,0,2,0,1,0,3,0,0,0,0,0,0,3,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,7,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,2,0,0,1,0,3,0,1,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,8,0,1,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,2,0,3,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,3,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1],] -- [[2,0,2,0,0,0,0,1,0,3,0,0,2,0,0,4,0,0,0,3],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0],[3,0,0,0,2,0,0,3,0,0,4,0,0,0,0,0,0,1,0,0],[0,0,2,0,0,0,3,0,0,0,0,0,0,0,1,0,2,0,1,0],[0,0,0,0,3,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,3,0,0,1,0,0,3,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0],[2,0,2,0,0,0,0,1,0,2,0,0,1,0,0,0,3,0,0,0],[0,0,0,0,2,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0],[3,0,0,0,0,0,4,0,0,0,0,0,2,0,0,2,0,0,0,0],[0,0,0,0,1,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0],[0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,4,0,0,0],[4,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,3,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0],[2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0],] -- [[1,0,1,0,2,0,4,0,2,0,0,3,0,1,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,3,0],[4,0,0,0,0,2,0,2,0,0,3,0,0,2,0,4,0,0,0,0],[0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0],[4,0,0,0,1,0,0,0,0,2,0,3,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[4,0,0,0,1,0,1,0,0,0,3,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,4,0,3,0,0,0,0,1,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[7,0,3,0,0,0,0,2,0,0,0,2,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,3,0,0,0,1,0,3,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,2,0,1,0,0,5,0,3,0,0,1,0,4,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,0,0,2,0,2,0,0,2,0,1,0,1,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,4,0,0,1,0,1,0,1,0,1,0,3,0,0,2,0,4],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,1,0,0,0,3,0,0,0,0,0,0],[3,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,1,0,0,0,0],[0,0,0,0,3,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1],[1,0,2,0,0,0,0,1,0,0,0,1,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,4],[1,0,2,0,1,0,0,0,5,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,5,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0],[2,0,2,0,0,2,0,0,3,0,2,0,0,1,0,0,0,0,1,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0],[0,3,0,0,0,0,2,0,0,0,2,0,3,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],] -- 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[[0,4,0,1,0,1,0,4,0,0,0,6,0,0,3,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,2,0,0,4,0,0,0,0,1,0,3,0,0],[0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,4,0,1,0,0,0,3,0],[2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,2,0,0,0,0,0],[3,0,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,1,0,6,0,0,0,1,0,1,0],[3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,3,0,0,1,0,0,1,0],[1,0,6,0,0,3,0,0,0,0,0,3,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,4,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,3,0,0,0,1,0,7,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,4],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,5,0,3,0,0,0,0,2,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,7,0,0,3,0,1,0,0,4,0,1,0,0,0],[3,0,3,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,5,0,0,0,3,0,3,0,0],[0,2,0,2,0,0,0,1,0,1,0,0,0,0,3,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0],[0,0,0,3,0,0,5,0,1,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,4,0,0,0],[1,0,1,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,2,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,3,0,2,0,0,3,0,0,2,0,0,2,0,0,0,0,4],] -- [[2,0,1,0,0,0,0,0,2,0,0,1,0,4,0,0,0,0,1,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,1,0,2,0,4,0,3,0,2,0,0,4,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,4,0,1,0,0,0,0,0,0,3,0,0,7,0,0,1,0,0],[4,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,7,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,1],[0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,2,0,0,0,0,5,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,1,0,0,3,0,0,3,0,4,0,0,0,0,2,0,0,0],[2,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,3,0,0,3,0,6,0,0,0,3,0,0,0,0],[0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[2,0,0,2,0,0,3,0,0,2,0,6,0,3,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,4,0,3,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,3,0,0,1,0,1,0,0,0,5,0,0,0,0,0],[0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,3,0],[0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,1,0,0,0,0,0,0,0,4,0,3,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0,0,0],[3,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,2,0,0,0,0,0,7,0,0,0,2,0,0,0],[1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,2,0,2,0,0,1,0,2,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,2,0,0,0],[0,0,0,0,2,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,1,0],[0,0,1,0,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[1,0,2,0,2,0,0,2,0,0,1,0,5,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,4,0,0,1,0,0,0,3,0,0,0,2],[0,0,1,0,5,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,0,1,0,3,0,0,2,0,0,1,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0,0],[2,0,3,0,1,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,6,0,0,1,0,0,0,0,0],[4,0,0,0,3,0,0,1,0,3,0,0,0,0,0,5,0,0,4,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[7,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0],[3,0,0,3,0,0,3,0,1,0,1,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0],] -- [[1,0,1,0,1,0,1,0,3,0,0,6,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1],[0,0,0,1,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,3,0,4,0,0,0,3,0],[2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,1,0,0,0,2,0,0,2,0,0],[0,1,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,3,0,0,0,2,0,0,0,1,0,4,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,1,0,0,4,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1],[0,0,1,0,0,0,2,0,6,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,2,0,3],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,1,0,0,0,0,1,0,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0],[1,0,2,0,0,0,4,0,0,3,0,1,0,0,2,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],[2,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,1],] -- 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[[1,0,0,0,7,0,0,0,0,3,0,0,5,0,1,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,1,0,0,0,0,1,0,0,0,0,3,0,0,1,0,0],[0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,1],[1,0,2,0,0,3,0,0,0,1,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,2],[1,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,10,0,0,0,0,0,0,2,0,0,0],[3,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,6,0,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,5,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0],[1,0,3,0,0,2,0,0,0,0,3,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,1,0,1,0,0,0,0,0,0,0,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0],] -- [[4,0,3,0,0,0,2,0,0,1,0,1,0,1,0,1,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,1,0,2,0,3,0,1,0,0,0,1],[0,0,7,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,6,0,0,0,0,0,0,2,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,1,0,4,0,0,2,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0],[4,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2],[0,0,0,1,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,3,0,0,0,0,0,0,0,0,2,0,0],[1,0,1,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,2],[0,2,0,2,0,0,0,0,0,1,0,0,2,0,4,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,0,0,3,0,2,0,0,3,0,1,0,0,0],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[1,0,0,0,3,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0],[0,0,4,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0],[0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,6],[0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,2,0,4,0,0,0,0,0,2],[0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,4,0,0,0],[2,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0],[0,0,0,3,0,0,0,0,0,6,0,0,0,2,0,0,3,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,1,0,0,0,0,0,3,0,0,3,0,1,0,0,0,3,0,0],[0,0,0,0,0,4,0,0,0,1,0,0,1,0,0,0,0,0,0,2],[0,0,0,4,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,1,0,0,2,0,1,0,0,0,0,0],[0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,8],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[3,0,1,0,0,0,0,2,0,2,0,0,4,0,0,0,0,1,0,1],] -- [[2,0,0,4,0,0,2,0,0,2,0,0,1,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,4,0,0,0,0,3,0,2,0,0,2,0,1,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,9,0,7,0,0,2,0,3,0,0,3,0,0,0,2,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,2,0,0,0,0,0,0,0,3,0,0,0,0,1,0,4,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,1,0,1,0,3,0,0,1,0,1,0,0,0,3],[1,0,0,1,0,4,0,0,0,0,0,0,3,0,3,0,0,0,0,0],[0,1,0,0,0,0,0,5,0,0,0,0,0,0,0,0,5,0,0,0],[0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,3,0,0,0,4,0,0,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0],] -- [[0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,3,0,0,3,0,0,0,0,0,0,7,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,6,0,0,2,0,0,0,2,0,0,0,0,3],[0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,4,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0,3,0,1,0],[0,0,0,0,0,3,0,2,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,3,0,0],[3,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,3,0,0,0,3,0,0,3,0,0,0,1],[0,0,3,0,0,0,0,0,0,0,0,1,0,0,1,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,4,0,1,0,0,3],[3,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,4,0,0,2,0,0,4,0,3,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,1,0,1,0,0,0,0,4,0,1,0,1,0,0,2],] -- [[2,0,0,1,0,1,0,1,0,3,0,0,4,0,1,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,1,0,4,0,0,1,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,3,0,0,2,0,3,0,1,0,0,0,0,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,2,0,9,0,3,0,0,0,2,0,0],[7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,4,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,5,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,4,0,0,0,2,0,5,0,0,0],[2,0,2,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,2],[1,0,2,0,4,0,0,2,0,0,0,4,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,2],[0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0],] -- [[5,0,2,0,2,0,0,4,0,0,0,1,0,4,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,2,0,0,1,0,1,0,2,0,0,0,2,0],[0,0,0,0,8,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,4,0,1,0,0,0,0,0,2,0,6,0,0,1,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,3,0],[7,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,3,0,0,1,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0],[0,0,0,2,0,0,3,0,0,2,0,0,0,2,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,3,0,0,1],[0,0,1,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,2,0,0,4,0,0,0,0,0,0,1,0,0,0,1,0],] -- [[1,0,3,0,0,2,0,0,1,0,1,0,3,0,4,0,0,2,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,6,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0],[3,0,1,0,0,0,0,0,1,0,0,0,3,0,0,3,0,0,0,0],[0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,2,0,3,0,0,0,0,1,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,4,0,1,0,0,0,2,0,0,1,0,1,0,4],[0,0,0,0,0,0,0,0,0,1,0,4,0,0,2,0,1,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,3,0,0,1,0,1,0,6,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,6,0,0,2,0],[4,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,2,0,2,0,0,0,0,0,3,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0],] -- [[1,0,2,0,0,3,0,3,0,1,0,1,0,2,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,2,0,0,2,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0],[2,0,3,0,4,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0],[9,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,2,0,3,0,0,0,3,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,3,0,0,3,0,0,0,0,1,0,0,0,3,0,0],[0,0,2,0,3,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,3,0,0,0,0,0,0,1,0,1,0,1],[0,3,0,0,0,1,0,0,0,0,1,0,0,1,0,0,3,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0],] -- [[1,0,1,0,2,0,2,0,0,2,0,0,1,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,2,0,1,0,2,0,1,0,1,0,2,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,3,0,0,0,2,0,2,0,1,0,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0],[4,0,0,4,0,0,0,1,0,1,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,5,0,0,0,0,1,0,3,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,2,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,2,0,0,2,0,0,0,3,0,7,0],[0,0,0,1,0,2,0,0,4,0,0,0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[6,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,1,0,0,2,0,3,0,0,2,0,0,2,0],[0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0],[1,0,1,0,2,0,0,0,0,3,0,0,0,1,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[6,0,5,0,0,0,2,0,2,0,0,2,0,0,3,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0],[0,0,0,2,0,0,5,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,5],[1,0,0,3,0,0,0,1,0,0,3,0,0,0,3,0,0,0,0,0],[0,2,0,0,0,0,1,0,4,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,1,0,1,0,1,0,0,4,0,0],[4,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,0,4,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0,0],[0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1],[1,0,0,0,0,0,3,0,0,2,0,2,0,2,0,3,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[6,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,3,0,0,0,0,3,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0],] -- [[2,0,0,3,0,0,3,0,1,0,3,0,0,3,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,1,0,0,0,0,0,3,0,1,0,4,0,0,6,0,0,2,0],[0,0,0,3,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,4,0,0,4,0,0,0,0,3],[1,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,4,0,0,0],[4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,2,0,2,0,3,0,0,1,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,6,0,0,10,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0],[0,0,1,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0],[0,3,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,0,2],[0,1,0,1,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],] -- [[2,0,0,2,0,0,3,0,0,0,2,0,0,3,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,3,0,0,1,0,1,0,1,0,3,0,1,0,4,0],[0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,3],[3,0,0,1,0,2,0,0,2,0,4,0,0,0,0,1,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,1,0,4,0,5,0,0,0],[0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,3],[4,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,10,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0],[9,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,1,0,0,0,0,0,3,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,6,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,4,0,0,0,0,2,0,1,0,0,0,3,0],[2,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,1],[0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,3,0,2,0,0,4,0,0,1,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2],[3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,3,0,0,3,0,0,0,2,0,1,0,0,1,0],[1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,2,0,0,7,0,0,0,1,0,0,0,2],[0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,4,0,0,2,0,0,0,0,3,0,0,0,0,0,0,3],[3,0,0,4,0,3,0,0,0,6,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0],[0,0,0,2,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,1,0,1,0,0,2,0,1,0,1,0,4,0,0,5,0,1],] -- [[3,0,0,0,2,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[4,0,3,0,0,0,1,0,2,0,2,0,0,1,0,1,0,0,2,0],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0],[0,0,4,0,0,0,0,1,0,4,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,1],[0,2,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0],[0,0,0,3,0,0,4,0,0,0,0,0,0,3,0,0,2,0,0,2],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,4,0,0],[3,0,1,0,0,3,0,0,0,0,2,0,3,0,4,0,0,0,0,1],[0,0,0,6,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0],[2,0,0,0,0,0,3,0,3,0,0,1,0,4,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1],[3,0,0,3,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[1,0,2,0,0,2,0,4,0,0,0,1,0,1,0,3,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,1,0,3,0,2,0,2,0,3,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,8,0,0,0,3,0,0,0,0],[0,1,0,0,3,0,0,2,0,0,2,0,0,0,0,0,0,0,3,0],[0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[6,0,0,0,0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,0,0,0,0,3,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,2,0,4,0,0,0,3,0],[1,0,1,0,1,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,1,0,0],[0,0,0,2,0,0,0,0,3,0,0,0,0,0,2,0,0,0,3,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,2,0,0,5,0,0,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,0],[2,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0],] -- [[2,0,1,0,2,0,0,5,0,0,3,0,3,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,3],[0,0,0,0,1,0,0,4,0,2,0,0,1,0,0,0,0,0,0,0],[2,0,0,1,0,2,0,0,0,0,0,1,0,3,0,0,0,1,0,0],[0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[2,0,3,0,0,3,0,0,1,0,0,0,2,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1],[0,0,5,0,0,0,0,0,0,1,0,0,0,0,0,0,6,0,0,0],[4,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,4,0,1,0,0,5,0,0,3,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0],[2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2],[0,0,0,3,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1],] -- [[3,0,0,0,1,0,1,0,3,0,0,0,2,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,4,0,0,1,0,3,0,0,0,2,0,1],[0,0,6,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0],[0,0,0,0,2,0,0,0,0,0,4,0,0,0,1,0,3,0,0,1],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0],[3,0,1,0,0,2,0,0,1,0,3,0,0,4,0,0,0,0,0,0],[0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[5,0,1,0,3,0,0,3,0,0,3,0,0,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,2,0,2,0,1,0,0,0,4,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[3,0,1,0,0,0,0,4,0,0,0,1,0,0,0,0,2,0,0,0],[0,0,0,2,0,0,3,0,0,0,0,0,1,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0],[1,0,3,0,3,0,0,0,0,4,0,0,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[0,3,0,5,0,4,0,0,0,1,0,2,0,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,2,0,0,1,0,1,0,2,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,3,0,0,0,0,0,0,2,0,1,0,0,0,0,0],[0,0,0,0,2,0,0,4,0,0,1,0,0,0,0,2,0,1,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,3,0],[0,1,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0],[1,0,0,0,0,2,0,1,0,7,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,1],[2,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0],[3,0,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,1,0],[0,0,1,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[6,0,0,0,3,0,4,0,0,0,0,2,0,0,4,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0],[3,0,1,0,0,1,0,0,0,0,7,0,0,1,0,0,4,0,0,0],[0,0,0,3,0,0,1,0,1,0,0,0,0,0,1,0,0,0,3,0],[0,0,0,0,0,3,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[7,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,2,0,5,0,0,3,0,0,0,0,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[3,0,1,0,0,3,0,0,0,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,4,0,1,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,0,6,0,0,6,0,0,0,0],[0,0,0,4,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,2,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3],[2,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,2],[0,2,0,0,2,0,3,0,0,4,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,3,0,1],[2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,1],[0,0,0,4,0,2,0,0,2,0,0,0,6,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,1,0,1],[0,0,0,0,0,2,0,0,4,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,4,0,0,0,0,1,0,0,0,3,0,0,0,1,0,0,0,3,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0],[0,1,0,3,0,0,0,0,0,0,3,0,3,0,1,0,0,0,0,2],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,2,0,2,0,0,0,0,2,0,2,0,2,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,0,3,0,1,0,1,0,1,0,1,0,0,0,0,4],] -- [[3,0,3,0,0,1,0,2,0,3,0,0,1,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,6,0,0,1,0,0,3,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,1,0,0,0,3],[2,0,0,0,0,0,0,0,0,0,0,6,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,3,0,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,3,0,3,0,0,3,0,0,0,0,5,0,1],[9,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,3,0,3,0,0,1,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,4,0,0],[0,0,0,0,0,0,3,0,0,3,0,0,0,1,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,2,0,1,0,3,0,0,0],[4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,1,0,0,0,2,0,0,2,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0],] -- [[3,0,3,0,0,0,2,0,4,0,0,0,1,0,1,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0],[4,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,1,0,0,0,10,0,0,0,0,0],[0,0,2,0,0,0,0,3,0,6,0,0,2,0,0,0,0,1,0,1],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[0,0,1,0,2,0,0,0,2,0,0,0,0,0,8,0,0,0,0,0],[7,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[4,0,0,0,0,3,0,0,3,0,0,0,2,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0],[0,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,3,0,0,0,0,1,0,1,0,0,0,0,0],] -- [[1,0,0,0,2,0,0,2,0,0,3,0,0,0,0,4,0,2,0,2],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,1,0,0,0,3,0,0,0,3,0,0,0,3,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,4],[0,0,0,0,0,0,0,3,0,0,4,0,0,4,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,8,0,0,4,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,2,0,2],[0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,1,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,1,0,3],[0,1,0,0,9,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2],[0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,4,0,0,1,0,1,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,3,0,3,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,1,0,3,0,0,0,2,0,1,0,2,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,3,0,0,0,0,1,0,2,0,2,0,0,2,0,0,4],[0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,3,0,0,0,2,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[3,0,0,2,0,0,2,0,0,3,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0],[0,0,3,0,0,2,0,4,0,0,0,0,0,0,2,0,0,2,0,0],[1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1],[0,1,0,0,2,0,1,0,3,0,0,0,0,0,0,2,0,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[4,0,0,0,0,1,0,3,0,0,1,0,2,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,4,0,0,4,0,0,0,1,0,0,7,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[4,0,0,0,0,0,3,0,0,0,0,2,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0],] -- [[1,0,3,0,0,2,0,3,0,0,0,0,0,2,0,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,2,0,0],[0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0],[1,0,0,0,0,3,0,1,0,1,0,0,0,2,0,0,0,0,2,0],[0,0,2,0,0,0,0,0,2,0,1,0,1,0,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,2],[0,0,0,2,0,0,1,0,0,0,3,0,0,0,0,0,0,1,0,0],[2,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,4,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2],[3,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,8,0,4,0,0],[3,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,3,0,0,3,0,0,0,0,0,1,0,3,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,1,0,0,0,0,0,2,0,0,3,0,3,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,3,0,0,0,4,0,0,2,0,1,0,4,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,1,0,3,0,0,0,0,0,0,5,0,0,0,1,0,0,0],[0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,2,0,0,2,0,8,0,0,0,1,0,0,0,0],[3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,3],[3,0,3,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,1,0,0],[0,0,0,0,3,0,1,0,0,0,0,0,0,3,0,0,0,0,1,0],[4,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,1,0],[0,0,0,1,0,2,0,3,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,1,0,6,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,2,0,6,0,0,0,0,0,4,0,0,0],[2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[2,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- [[2,0,3,0,0,0,3,0,0,3,0,1,0,3,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,6,0,0,0,0,0,0,0,3,0,0,0,7,0,1,0,0],[0,0,6,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,4,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,0,3,0,0,2,0,3,0,0,0,1,0,0],[0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0],[2,0,0,0,0,0,0,0,0,1,0,0,3,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,0],[2,0,0,1,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,3],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0],[4,0,0,1,0,0,0,0,0,3,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,2,0,2],[2,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,1,0,4,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0],[1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],] -- [[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,3],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,2,0,5,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,1,0,3,0],[2,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,3,0,0,3,0,0,0,0,0,2,0,0,0,0,3,0,3],[2,0,0,0,0,2,0,0,4,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,1,0,0],[0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,11,0,0,2,0,3],[3,0,0,0,0,2,0,0,0,0,0,8,0,1,0,0,0,0,0,0],[0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,3],[0,1,0,0,0,2,0,0,2,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,4,0,0,4,0,0,0,3,0,1,0,2,0,2,0,2],] -- [[2,0,0,2,0,0,1,0,1,0,1,0,1,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,1,0,0,0,0,4,0,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,2,0],[0,0,0,0,0,7,0,0,0,0,0,0,0,3,0,0,3,0,0,0],[8,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,4,0,4,0,0,0,3,0,0,1,0,3,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,5,0,0,2,0,0],[0,0,1,0,0,0,0,0,6,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,2,0,0,3,0,0,0,0,0,6,0,0,3,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,3,0,1,0,0],[0,0,0,0,0,0,4,0,1,0,3,0,1,0,0,0,0,0,1,0],[1,0,1,0,2,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0],] -- [[1,0,1,0,3,0,0,5,0,1,0,1,0,1,0,2,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,4,0,0,0,0,0,2,0,2,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0],[1,0,2,0,0,0,0,1,0,5,0,1,0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0],[5,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,5,0,0],[0,0,0,0,3,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0],[1,0,1,0,1,0,3,0,2,0,0,0,0,0,2,0,1,0,3,0],[0,1,0,1,0,0,0,0,0,0,2,0,5,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[1,0,1,0,0,0,0,3,0,7,0,0,0,0,0,0,1,0,0,0],[0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,6,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,1,0,2],[0,1,0,5,0,5,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,3,0,0,0],[0,0,4,0,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,4,0,0,2,0,5],[0,0,0,1,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,3,0,0],[2,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,3,0,1,0,0,0,0,0,0,0,3],[0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,2,0,2,0,0],[1,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,1,0],[0,0,2,0,0,0,0,0,1,0,0,0,0,3,0,0,0,1,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,3,0,1,0,0],[3,0,0,0,4,0,0,4,0,0,5,0,0,0,0,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,3,0,0,2,0,0,2,0,2,0,0,0,4,0,2,0,1],] -- [[2,0,4,0,0,1,0,3,0,0,0,3,0,0,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,1,0,1,0,1,0,1,0,4,0,0,0,1,0],[2,0,2,0,0,0,0,2,0,2,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,3,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,2,0,2,0,1,0,1,0,0,0,6,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0],[3,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,7,0,0,1,0,1,0,0,0,0,1,0,3,0],[0,0,2,0,0,6,0,0,0,0,2,0,3,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,0,0,0,0,0,0,1,0,2,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[3,0,2,0,5,0,0,1,0,2,0,0,0,2,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,1],] -- [[1,0,2,0,2,0,2,0,0,1,0,4,0,0,2,0,0,4,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,4,0,0,2,0,0,0,0,5,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[1,0,2,0,0,0,0,1,0,1,0,2,0,0,0,0,5,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0],[1,0,3,0,8,0,0,0,0,7,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[2,0,1,0,0,0,0,0,0,2,0,2,0,3,0,0,0,0,0,1],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,2,0,0,2,0,2,0,4,0,0,1,0,3,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,3,0,2,0,1],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0],] -- [[0,0,0,2,0,0,0,5,0,0,2,0,0,0,0,8,0,2,0,3],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,4,0,1,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,3,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5],[0,0,0,1,0,0,0,0,1,0,0,0,0,3,0,2,0,0,0,0],[0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,1,0,0,2,0,0,3,0,3],[0,0,0,0,3,0,0,2,0,1,0,0,4,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,5],[0,1,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,3,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,8,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,6],[2,0,0,0,0,0,0,6,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,2,0,1],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,1,0,2,0,2,0,0,2,0,1,0,2,0,4,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,3,0,2,0,0,2,0,0,0,0,0,0,0,0,0],[0,2,0,3,0,0,0,0,0,4,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,1,0,3,0,0,0,1,0],[2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,8,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,2],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,2,0,1,0,1,0,5,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,2],[1,0,2,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,3,0,0,0,9,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,3,0,1],[0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,2,0],] -- [[2,0,0,1,0,4,0,0,0,1,0,1,0,1,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,0,0,0,1,0,3,0,0,1,0,3,0,0,0,0],[0,0,0,0,2,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,3,0,0,1,0,3,0,0],[4,0,0,0,0,0,3,0,0,1,0,0,0,0,6,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,3,0,0],[1,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,2],[1,0,1,0,0,4,0,0,0,0,3,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0],[6,0,3,0,0,0,0,0,0,0,8,0,4,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0],[0,0,4,0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],] -- [[0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0],[3,0,0,0,3,0,2,0,0,3,0,0,0,1,0,3,0,0,0,0],[0,0,3,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,0,0,0,0,2,0,2,0,3,0],[0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,2,0,0],[0,0,2,0,3,0,0,2,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,2,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,4],[0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,5,0,5,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2],[0,0,0,2,0,2,0,3,0,0,0,0,2,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0,1,0,0,4,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,1,0,0,0,0,0,0,0,3,0,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,5,0,1,0,2,0,0,0,4,0,1,0,0,0,5,0,1],] -- [[1,0,2,0,0,1,0,2,0,0,2,0,1,0,4,0,6,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1],[0,3,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,2,0,3,0,0,3,0,0,1,0,0,0,2],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[3,0,0,0,0,0,3,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,3],[0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,1,0,0,0,0],[0,0,1,0,0,4,0,0,0,0,0,0,0,0,4,0,5,0,0,0],[0,2,0,2,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,3,0,0,0],[3,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,3,0,1,0,3,0,0,4,0,0,0,0],[2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0],] -- [[3,0,1,0,1,0,3,0,0,0,6,0,1,0,4,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,4,0,3,0],[0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,4,0],[0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0],[3,0,0,0,3,0,2,0,2,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,2,0,2,0,0,0,0,1,0,1],[0,4,0,0,2,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0],[2,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,4,0,1,0],[0,0,3,0,0,0,0,0,0,0,3,0,0,0,5,0,0,0,0,3],[0,1,0,0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,3,0,0,0,0,3,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0],] -- 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[[1,0,2,0,3,0,3,0,0,2,0,0,1,0,1,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,2,0,5,0,0,2,0,0,1,0,2,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,2,0,0,0,1,0,0,0,4,0,0,0,2,0,0],[0,0,3,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,1],[1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,4,0],[0,0,0,2,0,0,0,0,0,0,2,0,6,0,0,2,0,0,0,0],[7,0,4,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,5,0,0,0,0,1,0,5,0,0,0,3,0,0],[0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0],[2,0,2,0,0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0],[0,3,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1],[0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1],] -- [[1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,2,0,0,0],[0,0,3,0,2,0,2,0,0,0,0,0,2,0,1,0,0,0,1,0],[0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,3,0,0,0,0],[3,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,1,0,0],[0,0,2,0,0,0,0,0,0,2,0,2,0,0,0,2,0,0,0,0],[2,0,0,0,4,0,0,2,0,0,0,0,0,2,0,0,4,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,1,0,0,0,5,0,0,0,0,1,0,0,0,0,0,1],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,5,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,1,0,0,0],[1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,1,0,0,0,0],[0,0,7,0,0,1,0,0,0,0,2,0,0,0,0,0,0,3,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,3,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0],[1,0,1,0,0,0,3,0,0,0,3,0,0,1,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,5,0,0,0,1,0,4,0,0,0,0,1,0,0,0,3,0,0],] -- [[1,0,1,0,2,0,0,1,0,3,0,0,0,4,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,3,0,0,0,0,0,3,0,4,0,0,4,0,0,0,0],[0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[8,0,3,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0],[0,0,0,0,2,0,4,0,7,0,0,0,0,0,0,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,7,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,5,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,8,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[4,0,0,0,1,0,0,0,3,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,5,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,1,0,0,0],[0,2,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0],[0,0,1,0,3,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0],[1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[6,0,0,0,1,0,2,0,0,2,0,2,0,3,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,2,0,0,0,0,0,4,0,0,0,0,1,0,2],[2,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,3,0,0,0],[0,0,2,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0],[7,0,0,0,0,0,0,0,0,3,0,0,2,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,1,0,2,0,0,1,0,0,0,2,0,2,0,1,0,0,0,0],[0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,3,0,0],[0,0,0,0,0,0,0,7,0,0,0,0,2,0,0,3,0,0,0,0],[5,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,1,0,3,0],[0,2,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,2,0,2,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[4,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],] -- [[2,0,0,1,0,2,0,0,1,0,3,0,0,2,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,4,0,0,0,0,0,2,0,2,0,0,1,0,0],[0,1,0,2,0,5,0,0,0,0,0,0,0,0,0,0,3,0,4,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[3,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1],[0,0,0,2,0,0,0,3,0,0,0,0,0,4,0,1,0,0,0,0],[0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,1],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,2,0,0,0,0],[0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,2,0,0,3],[0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,1,0,4,0,0,0,0,0,2,0,2,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0],[3,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,1,0,3,0,0,0,0,3,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,3,0,0,2,0,0],] -- [[2,0,0,3,0,0,3,0,0,1,0,2,0,0,3,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,2,0,0,2,0,0,5,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,4,0,0],[0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,3],[7,0,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,6,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,3,0],[2,0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,2,0,0,0],[0,0,0,0,0,0,1,0,5,0,0,0,0,0,0,0,0,0,1,0],[0,4,0,9,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,3,0,0,0,0,2,0,0,7,0,0,2,0,0],[0,2,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,3,0,0,0,0,0,0,3,0,0,2,0,0,0,0,3,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0],[1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0],[0,1,0,0,6,0,0,0,0,0,0,0,0,4,0,0,0,1,0,2],[0,0,1,0,0,0,0,3,0,0,0,6,0,0,0,0,0,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0,2],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,3,0,0,2,0,0,0,0,0,1,0,2,0,0,0,1],[1,0,2,0,0,0,0,0,0,2,0,0,10,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1],[0,0,3,0,0,3,0,0,0,5,0,1,0,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0],[1,0,0,2,0,0,0,0,4,0,0,1,0,0,0,3,0,0,0,2],] -- [[1,0,3,0,0,1,0,1,0,2,0,1,0,2,0,3,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,5,0,0,1,0,0,2,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[5,0,2,0,0,0,0,0,0,0,0,6,0,0,3,0,1,0,3,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0],[2,0,7,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,4,0,0,2,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,2,0,0,2,0,0,0,0,3,0,0,0,0,0,2,0,0],[0,0,0,0,0,5,0,0,1,0,1,0,0,2,0,0,0,0,0,4],[2,0,1,0,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0],[0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,2,0,2,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0],[1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,1,0,2,0,0,1,0,1,0,2,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,2,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,8,0,0,0,0,3,0,0,0,0,2,0,1,0,4,0],[0,0,1,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0],[1,0,0,2,0,2,0,0,0,1,0,0,0,0,0,1,0,2,0,0],[0,1,0,0,0,0,0,0,0,0,2,0,3,0,2,0,0,0,0,0],[0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,3,0],[1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,4,0,0,2,0,0,4,0,0,0,1,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,2,0,4,0,0,0,1,0,4,0,0,3,0],[0,0,1,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0],[0,0,0,4,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,2,0,0],[4,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[1,0,1,0,2,0,0,3,0,0,0,1,0,2,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[7,0,2,0,0,1,0,0,0,1,0,2,0,0,2,0,2,0,0,0],[0,0,0,0,2,0,4,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,1,0,6,0,0,0,0,0,3,0,0,0,0,0,3,0],[0,0,0,0,0,1,0,0,0,1,0,1,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0],[2,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,5,0,0,0,0,0,0,0,1,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,1,0,0,0,1,0,0,0,0,0,0,0,4,0,0,2,0,0],[0,0,0,0,0,0,0,4,0,2,0,2,0,2,0,0,0,0,0,2],[0,2,0,2,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0],[0,0,5,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0],[3,0,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,1,0,1],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,2,0],] -- [[1,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,2],[3,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,4,0,2,0,0,0,0,2,0,1,0,0,1,0,3,0,0,2],[0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,6,0,0,0,0],[0,0,0,1,0,0,3,0,1,0,0,0,6,0,0,0,1,0,0,5],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0],[0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0,0],[0,1,0,0,0,0,3,0,3,0,0,0,0,2,0,0,0,2,0,2],[0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,4,0,0,0,0,0,0,0,0,5],[0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0],[0,0,0,0,2,0,0,0,0,5,0,0,0,4,0,0,0,1,0,1],[0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,3,0,2,0,1,0,0,0,0,0,0,8],] -- [[3,0,8,0,0,1,0,3,0,0,0,1,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,4,0,0,1,0,2,0,2,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,2,0,3,0],[0,0,8,0,0,3,0,0,0,0,1,0,3,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,2,0,0,0],[0,3,0,0,3,0,0,0,4,0,0,0,0,1,0,0,0,0,2,0],[0,0,0,3,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,4,0,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,3,0,0,3,0],[4,0,0,0,0,4,0,0,0,0,0,1,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],] -- [[1,0,3,0,0,0,1,0,2,0,3,0,3,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,1,0,2,0,0,0,0,0,1,0,2,0,0,1,0,0],[0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[0,3,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,4,0],[0,0,0,1,0,0,0,2,0,0,0,0,0,3,0,2,0,0,0,0],[0,0,0,0,2,0,0,0,0,7,0,0,0,0,0,0,0,3,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,0,4,0,0,0,0,0,1,0,2,0,1,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,9,0,0,0,0,0,0,0,2,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,1,0],[2,0,2,0,4,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0],[1,0,3,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,3,0,0,0,2,0,5,0,0,3,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,1,0,0,2,0,2,0,1,0,1,0,3,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,3,0,0,1,0,0,0,0,0,0,0,1,0,5],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0],[0,0,4,0,2,0,0,0,0,0,3,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,3,0,0],[0,3,0,0,3,0,0,4,0,0,2,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0],[0,2,0,0,0,0,0,2,0,0,3,0,0,0,0,2,0,0,3,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,1,0,3],[0,0,0,5,0,0,0,2,0,0,0,0,0,4,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,3,0,0],[0,3,0,0,3,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],] -- [[1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,6,0,0,0,0,0,4],[0,1,0,0,5,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,1,0,0,0],[2,0,0,4,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,3],[0,0,0,0,1,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,3,0,2,0,0,0,4,0,2],[0,0,0,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,1],[3,0,0,0,0,1,0,0,1,0,0,0,0,5,0,0,0,2,0,0],[0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0],[0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,7,0,0,3,0,0,0,0,0,0,6,0,1,0,0,0,0],[2,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,3],[0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[1,0,0,0,1,0,0,0,4,0,0,0,0,1,0,0,0,4,0,1],] -- [[3,0,0,0,2,0,0,3,0,0,3,0,0,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,2,0,0,2,0,3,0,0,1,0,4,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,4,0,0],[0,0,3,0,0,3,0,0,1,0,0,4,0,1,0,1,0,0,0,0],[3,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,11,0,0,1,0,0,0,0,0,0],[4,0,0,2,0,0,0,0,2,0,0,0,0,0,3,0,2,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,7,0],[0,0,0,0,6,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0],[7,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,0,3,0,0],[1,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,4],[0,3,0,0,2,0,0,0,3,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0],] -- [[2,0,0,2,0,0,1,0,1,0,3,0,0,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,2,0,3,0,4,0,0,3,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0],[2,0,0,0,0,1,0,0,0,0,4,0,0,0,0,4,0,0,3,0],[0,0,5,0,1,0,2,0,0,3,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[3,0,0,0,0,1,0,2,0,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,2,0,0,1],[0,0,1,0,1,0,3,0,4,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,1],[3,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0],[0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,4,0,4],[1,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0],[5,0,0,0,0,0,0,2,0,4,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,2,0,0,2,0,0,0,0,3],[0,3,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,4,0,0,0,0,0,4,0,4,0,0,0,0,4,0,2],[2,0,0,0,0,0,0,0,0,9,0,1,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0],[0,0,0,0,0,3,0,0,4,0,1,0,0,3,0,0,0,0,0,4],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3],[0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,4,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[3,0,1,0,0,0,0,6,0,0,0,4,0,1,0,0,0,0,8,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,2,0,0,2,0,0,0,4,0,1,0,2,0,0,3,0,2],] -- [[1,0,2,0,0,3,0,0,1,0,3,0,0,3,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,4,0,0,0,2,0,4,0,1,0,1,0,1,0,5,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,0,0,2,0,1,0,1,0,0,0,3,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,2],[0,3,0,0,0,0,0,3,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,3,0,2,0,0,0,3,0,0,1,0],[5,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,3,0,0,0],[0,0,2,0,3,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,4,0,0,0,0,4,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[4,0,0,0,3,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0],[0,0,0,5,0,0,0,7,0,0,1,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1],] -- [[3,0,2,0,0,1,0,3,0,5,0,2,0,0,1,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,5,0,0,1,0,0,0,0,0,0,3,0,1,0,4,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,1],[4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,3,0,3,0,0],[2,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,1,0,2],[0,1,0,2,0,4,0,0,0,0,1,0,1,0,7,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0],[2,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,1,0,0,2,0,3,0,0,0,0,0,0,0],[0,0,0,0,2,0,1,0,3,0,0,0,0,0,8,0,0,0,0,0],[2,0,4,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,0,0,0,0,4,0,0,0,2,0,0,0,3,0,0],[0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2],[0,1,0,0,0,0,0,0,0,2,0,1,0,0,3,0,0,0,0,0],[0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2],[2,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,3,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,3],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0],[0,4,0,3,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,3,0,1,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,3,0,0,0,3,0,2,0,0],[0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,6],[0,1,0,0,0,0,0,4,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,2,0,0,2,0,1,0,3,0,1,0,1,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,2,0,0,0,0,4,0,0,2,0,0,0,3,0,2],] -- [[3,0,3,0,0,1,0,1,0,2,0,0,2,0,2,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,4,0,0,0,1,0,3,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[1,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0],[0,2,0,3,0,4,0,0,0,0,0,2,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0],[3,0,0,0,1,0,1,0,3,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0],[4,0,2,0,3,0,0,0,0,3,0,0,11,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,3,0,2],[4,0,0,0,0,6,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],] -- [[2,0,3,0,0,0,6,0,0,2,0,0,2,0,1,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,1,0,0,0,0,4,0,0,1,0,3,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,3,0,0,0,0,0],[0,0,0,1,0,2,0,2,0,3,0,0,0,0,0,0,0,3,0,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,3,0,0,3,0,0,0],[4,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,4,0,0,0,0,0,2,0],[0,0,0,1,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,2],[3,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0],[0,0,0,3,0,0,4,0,0,0,0,0,0,0,2,0,0,0,1,0],[1,0,1,0,0,3,0,0,1,0,0,3,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0],[4,0,6,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,2,0],] -- [[0,0,0,4,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,4],[0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,1,0,0],[1,0,0,3,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,3],[0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,1,0,0],[0,0,3,0,3,0,0,0,0,3,0,0,0,3,0,0,0,0,0,1],[0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,3,0,0],[1,0,0,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,3],[0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0],[0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1],[3,0,0,1,0,4,0,0,0,1,0,0,0,0,2,0,0,1,0,0],[0,1,0,0,0,0,0,2,0,0,0,0,3,0,0,0,1,0,0,2],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,4,0,1,0,0,2,0,0,4,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,2,0,0,0,3,0,1,0,0,0,3,0,1],] -- [[2,0,0,3,0,0,1,0,1,0,2,0,1,0,3,0,2,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,1,0,2,0,0,0,3,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0],[2,0,2,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,4,0,0,2,0,0,0,0,2,0,3,0,4,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1],[0,0,3,0,0,1,0,0,3,0,0,0,3,0,0,3,0,2,0,0],[2,0,0,0,1,0,3,0,0,0,1,0,0,0,0,0,0,0,0,1],[0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,5,0,0,4,0,0,0,3,0,0,0],[6,0,0,2,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0],[0,0,0,0,2,0,0,0,1,0,0,1,0,6,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,1,0,3,0,0,3,0,0,1,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[1,0,3,0,0,1,0,4,0,0,3,0,0,0,3,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,2,0,3,0,0,2,0,0,5,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,3],[4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,1,0,0,0,2,0,4,0,0,0,0,2,0,0,0],[0,0,5,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,2,0,0,3,0,0,0,1,0,2,0,3,0,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0],[0,0,2,0,2,0,4,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,7,0,0,3,0,0,2,0,0,2,0,0],[0,4,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,2,0,4,0,0,1,0,0,3,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,2],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,4,0,3],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0],[0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,4],[0,0,2,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,4,0,0,2,0,1,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,2],[0,0,0,5,0,3,0,0,0,0,5,0,0,3,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,1,0,0,1,0,3,0,0,2,0,0,0,0,0,0,5,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,2,0,0,0,3,0,3,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3],[0,3,0,2,0,1,0,2,0,1,0,1,0,2,0,0,0,2,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,4,0,0,0,4,0,0,0,4,0,2,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,1,0,1,0,0,3,0,0,2,0,1,0,2,0,2],] -- [[1,0,2,0,5,0,2,0,0,2,0,0,3,0,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,3,0],[0,0,1,0,0,0,0,0,0,0,0,2,0,6,0,0,0,0,0,0],[0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[11,0,2,0,0,0,3,0,0,0,4,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,3,0,0],[0,0,0,0,0,2,0,0,3,0,0,1,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,1],[0,1,0,0,0,4,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[1,0,3,0,0,0,0,0,1,0,0,0,3,0,0,0,0,3,0,0],[0,2,0,0,0,3,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,3,0,0,0,0,0,2,0,3,0,4,0],[0,0,6,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0],] -- [[1,0,2,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,4,0,0,0,4,0,3,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,1,0,3,0,0,0,0,2],[2,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0],[0,0,0,0,0,5,0,0,1,0,1,0,2,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0],[3,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0],[0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,2,0],[2,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,1,0,0,0],[0,0,3,0,3,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0],[1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,4,0,0,1,0,0],[5,0,0,0,0,3,0,4,0,1,0,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],] -- 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[[1,0,1,0,1,0,2,0,1,0,4,0,1,0,3,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,2,0,0,7,0,0,0,0,0,1,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,2,0,0],[0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1],[5,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,4,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,3,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0],[3,0,3,0,0,3,0,0,0,0,5,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[4,0,0,0,0,0,3,0,0,0,6,0,0,5,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,5,0,0,1],[2,0,0,5,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,2,0,3,0,0,1,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[4,0,0,2,0,0,3,0,0,0,1,0,2,0,1,0,1,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,1,0,5,0,0,1,0,1,0,2,0,3,0,0],[4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,2,0,2,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0],[6,0,1,0,2,0,0,0,2,0,3,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,4,0,0,0],[0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,1,0,2],[1,0,2,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,2,0,1,0,0,0,4,0,0],[2,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,3,0,0,1,0,0,0,4,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[1,0,3,0,6,0,0,0,0,3,0,0,0,0,1,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1],] -- [[1,0,4,0,1,0,1,0,1,0,3,0,0,0,3,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,6,0,0,0,4,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0],[0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0],[2,0,2,0,1,0,0,0,0,0,4,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,1,0,1],[0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0],[5,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,1,0,2,0,0,4,0,0,4],[0,0,0,0,0,0,6,0,0,0,2,0,0,0,0,1,0,0,0,0],[1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0],[1,0,0,0,0,0,0,0,4,0,0,6,0,0,0,0,0,0,0,0],[0,2,0,5,0,0,0,3,0,0,0,0,0,4,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0],] -- [[6,0,2,0,0,1,0,3,0,0,0,1,0,3,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,7,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,7,0,3,0,1,0],[3,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,5,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0],[2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,4,0,0,0,5,0,0,4,0,0,0,0,0,0,0,3,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,2,0,3],[2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,2,0,0,0,0,0,7,0,0,0,7,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0],[3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,6,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,3,0,0,3],[0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[4,0,0,1,0,3,0,8,0,0,2,0,2,0,0,3,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,1,0],[2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1],[0,2,0,0,0,0,0,0,2,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,4,0],[0,4,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,4,0,0,0,4,0,0,0,4,0,0,0,0],[2,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[2,0,2,0,2,0,3,0,0,2,0,0,1,0,3,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,1,0,1,0],[4,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0],[0,0,0,0,2,0,0,1,0,0,3,0,2,0,0,0,0,0,0,3],[0,0,0,0,0,0,2,0,2,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0],] -- [[3,0,0,0,1,0,1,0,2,0,0,2,0,0,2,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,2,0,3,0,3,0,0,1,0,3,0,1,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,4,0,0,0,3,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,1,0,3,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,1,0,2,0],[2,0,2,0,0,0,0,0,0,0,0,0,6,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,4,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,3,0],[3,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,4,0,0,4,0,0,3,0,0,0,0,1],[0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,2,0,0,4],[2,0,0,0,5,0,0,0,0,0,0,0,2,0,0,4,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0],] -- [[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,1,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,0,0,0,3,0,0,1,0,1],[0,0,0,0,0,0,0,2,0,3,0,0,2,0,0,0,0,0,0,0],[0,3,0,0,0,0,1,0,1,0,0,0,0,0,0,0,4,0,0,1],[0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,5,0,0,0,0,0,0,0,0,2,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0],[0,0,0,0,4,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0],[3,0,0,0,0,0,4,0,1,0,0,0,0,1,0,0,0,3,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,1,0,1,0,0,0,0,0],[4,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,2,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,5,0,0,1,0,2,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,5,0,0,0,1,0,3,0,0,0,1,0,1,0,3,0,1,0],] -- 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[[2,0,4,0,0,1,0,4,0,0,0,0,2,0,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,0,3,0,0,1,0,2,0,2,0,0],[2,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,3,0,0,0,0,0,1,0,1,0,3,0,0,1],[0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,6,0,0,2,0,0,0,3,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,1,0,3,0,0,7,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[7,0,2,0,0,7,0,0,2,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,3,0,0,0,0,0,0],[2,0,2,0,3,0,0,2,0,1,0,0,0,0,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,2,0,0,0,0,4,0,0,3,0,2,0,3,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[2,0,2,0,1,0,4,0,0,0,0,1,0,3,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,2,0,3,0,1,0,0,0,4,0,1,0,3],[2,0,3,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,6,0,0,3,0,0,0,4,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[1,0,0,2,0,2,0,0,0,0,0,4,0,0,3,0,0,3,0,0],[0,3,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,3,0,3,0,0,0,0,2,0,3,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,1,0,1,0,5,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,4,0,3,0],[0,2,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,4,0,0,0,0,0,2,0,3],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,2,0,0,4],[0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,5,0,0,1,0,3,0,0,0,0,0,0,2,0,2,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[4,0,0,0,0,0,0,2,0,0,3,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,4,0,4,0,0],[0,0,0,0,6,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,2,0,0,0,0,0,0,0,3,0,2,0,2,0,0,3,0,0],[0,4,0,0,2,0,1,0,3,0,0,1,0,4,0,0,0,0,0,0],[0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,1,0,0,0,0,0,4,0,3,0,2,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,2,0,0,0,0,4,0,1,0,2,0,3],] -- [[1,0,3,0,1,0,1,0,3,0,0,1,0,2,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,2,0,0,1,0,0,1,0,4,0,1,0,1,0,2,0],[0,0,0,1,0,0,3,0,1,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,4,0,0,0,3,0,0,2,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,2,0,0],[2,0,0,3,0,0,6,0,0,0,4,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,3],[11,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,3,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,4,0,0,0,5,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2],[3,0,0,0,0,0,3,0,0,0,1,0,0,0,0,1,0,0,0,0],] -- [[2,0,1,0,1,0,2,0,0,1,0,3,0,0,3,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,2,0,1,0,2,0,3,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,1,0,0,0],[1,0,1,0,1,0,1,0,8,0,0,0,0,0,0,0,0,2,0,3],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[3,0,2,0,0,0,1,0,0,1,0,0,0,0,3,0,0,0,2,0],[0,0,0,0,1,0,0,3,0,0,0,0,2,0,0,0,1,0,0,0],[0,0,0,2,0,2,0,0,0,0,3,0,0,0,0,0,0,2,0,1],[0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,5,0],[0,0,0,3,0,1,0,0,0,2,0,0,1,0,2,0,3,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,3,0],[0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,2,0,0,0,3,0,0,0,4,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[2,0,7,0,1,0,3,0,0,0,3,0,0,0,1,0,5,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,2,0,0,3,0,0,0,0,0,0,4],[2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0],[0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,7,0,0,0,3,0,4,0,0,0,3,0,2,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,3,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,0,5,0,4,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,1,0,1,0,2,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,5,0],[0,4,0,0,0,0,0,3,0,0,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,3],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,4,0,0,0,1,0,0,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0],] -- [[4,0,0,2,0,3,0,0,2,0,0,2,0,0,3,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,4,0,4,0,0,0,1,0,0,0,4],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,1,0,3,0,0,0,2,0,0],[4,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,3,0,0,1,0],[0,0,4,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,1,0,1],[0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,2,0,3],[2,0,0,0,0,0,12,0,0,1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0],[0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,4,0,1,0,0,0,0,3,0,0,0,0,3,0,0,2,0],[4,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0],] -- 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[[1,0,3,0,0,2,0,1,0,1,0,4,0,0,6,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,0,1,0,0],[0,0,0,1,0,3,0,0,0,0,0,2,0,1,0,1,0,0,1,0],[0,0,1,0,0,0,0,0,2,0,0,0,0,0,3,0,0,2,0,0],[0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,3],[4,0,0,0,3,0,0,0,0,2,0,3,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0],[3,0,3,0,0,3,0,0,0,0,4,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],[0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0],[0,0,0,3,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,4,0,4,0,0,0,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,3],[3,0,0,0,0,0,0,0,3,0,0,0,0,3,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,3,0,0,4,0,0,4,0,1,0,1,0,1,0,1,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,3,0,3,0,1,0,1,0,0],[1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1],[0,0,0,0,4,0,1,0,0,3,0,0,0,0,0,3,0,0,3,0],[0,5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,3,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,1,0,3],[0,1,0,0,3,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,1,0,0,1,0,1,0,0,3,0,0],[1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,1,0,1],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,1,0,2,0,0,2,0,0,4,0,0,0,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0],[0,0,0,3,0,2,0,2,0,0,0,7,0,0,0,3,0,2,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,2,0,1,0,3,0,1,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,3,0,0,0,0,2,0,1,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[1,0,1,0,0,2,0,0,2,0,0,0,2,0,0,0,0,1,0,0],[0,3,0,1,0,0,0,2,0,0,1,0,0,0,0,0,3,0,5,0],[0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0],[7,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,1,0,0,0,1,0,2,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0],[0,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,2,0,0,0,0,1,0,1,0,3,0,0,0,1,0,0],[0,0,0,0,0,0,3,0,4,0,1,0,0,0,0,0,0,0,2,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,5,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[2,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0],] -- [[2,0,2,0,4,0,0,3,0,0,0,3,0,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,2,0,0],[8,0,1,0,6,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,8,0,0,0,0,0,0,2,0,3,0,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[5,0,0,7,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,3,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,0,2],[3,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,0,0,2,0,0,0,0,2,0,1,0],[0,0,0,0,0,3,0,0,0,4,0,0,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,5,0,1,0,1],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0],] -- [[0,3,0,2,0,1,0,3,0,0,0,2,0,2,0,0,3,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,3,0,1,0,0,6,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,2,0,0,2,0,0,0,3,0,3,0,0,0,0],[0,0,2,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[12,0,0,0,0,0,0,0,0,1,0,0,4,0,0,2,0,3,0,0],[0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,7,0,0,0,4,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,3,0,0,4,0,1,0,2,0],[0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,5,0],[0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,1,0,2,0,3,0,0,0,0,0,0,0,0,1,0,1,0,0],[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,0,3,0,0,2,0,0,2,0,3,0,1,0,1,0,4,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,2,0,1,0,1,0,1,0,0,0,4,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,4,0,0,0],[0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,2,0,0,2,0,3,0,3,0,0,0,0,3,0,0,0,0,3],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,7,0,0,0,0,0,0,0,2,0,2,0,2,0],[2,0,3,0,0,0,0,1,0,0,3,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,3],[0,2,0,0,0,0,1,0,0,3,0,0,0,0,5,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,3,0,1,0,0,0,0,4,0,0,0,0,0,0,0,2],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0],[0,0,0,1,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],] -- [[1,0,1,0,1,0,1,0,1,0,3,0,0,0,3,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,2,0,1,0,2,0,5,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,1,0,3],[3,0,2,0,0,0,1,0,5,0,1,0,0,0,0,0,0,0,0,0],[0,3,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,3],[3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,0,1,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,1,0,7,0,0,4,0,0,1,0,0,1,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0],[5,0,0,4,0,0,0,0,0,0,1,0,3,0,0,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,2,0,0,4,0,0,0,0,0,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],] -- 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[[0,0,4,0,0,0,4,0,1,0,1,0,0,2,0,2,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,2,0,3,0,1,0,0,0,0,3],[0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,0,3,0,0,0,0,2,0,0],[0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,3,0,0,0,1],[0,0,0,1,0,0,0,2,0,0,1,0,2,0,0,0,0,2,0,0],[0,0,0,0,6,0,0,0,0,3,0,0,0,0,0,1,0,0,0,3],[1,0,0,0,0,0,1,0,0,0,0,2,0,0,3,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0],[3,0,0,0,0,0,3,0,0,2,0,0,0,0,3,0,1,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,4],[0,0,0,0,3,0,0,0,0,0,1,0,2,0,0,2,0,0,0,0],[0,0,0,0,0,1,0,0,0,7,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2],[0,0,2,0,3,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,3,0,0],] -- 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[[2,0,2,0,0,4,0,0,2,0,0,6,0,0,3,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,2,0,0,0,0,3,0,2,0,0,0,0,0,0,1,0,0,0],[5,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,0,0,0],[0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0],[4,0,0,0,2,0,0,0,0,5,0,0,1,0,4,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[1,0,1,0,0,0,3,0,0,2,0,2,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0],[5,0,0,0,0,0,1,0,0,0,0,0,7,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,2,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[3,0,0,6,0,0,0,1,0,0,4,0,1,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2],[4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0],] -- [[0,0,0,0,1,0,2,0,4,0,0,0,2,0,0,3,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,3,0,0,0,0,0,1,0,0],[1,0,3,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,5,0,0,0,0,0,0,1,0,2,0,0,0,0],[1,0,0,0,0,0,0,0,0,3,0,0,1,0,3,0,0,4,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,2,0,4],[0,0,0,4,0,0,0,4,0,1,0,5,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,2,0,0,0,0,2,0,0,2,0,0],[0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,2,0,2,0,0,1,0,1,0,0,2,0],[0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[1,0,1,0,4,0,0,0,3,0,3,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1],] -- [[0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0],[0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,4,0,2,0,0,0,0],[0,3,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2],[0,0,0,0,5,0,0,0,0,0,2,0,0,1,0,0,4,0,0,0],[1,0,2,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,3,0,0,0,5],[0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0],[0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,1],[0,1,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,4,0,1,0,0,0,0,4,0,0,0,0,0,0,3,0,0],[0,0,2,0,0,0,0,2,0,0,0,0,3,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,3],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0],[2,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,2,0,2,0,0,0,4,0,0,3,0,0,3,0,0,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0],[0,2,0,0,1,0,0,0,6,0,1,0,0,1,0,2,0,0,0,2],] -- [[2,0,0,1,0,1,0,1,0,4,0,0,4,0,0,3,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,3,0,5,0,0,0,0],[2,0,0,0,0,1,0,5,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,1,0,0,0,0],[8,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,1,0],[0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,3,0,0],[0,0,5,0,0,1,0,7,0,0,3,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,0,0,7,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,3,0,0],[0,0,0,0,5,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,3,0,5,0,0,3,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,0,1,0,2,0,0,8,0,0,0,3,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,5,0,0,5,0,1,0,0,0,0,0,3,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,3,0,0,1,0,4,0,0],[3,0,0,3,0,0,2,0,3,0,0,0,0,0,0,0,8,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,2,0,4,0,0,0,1,0,0,0,0,0,0,0,0,1,0],[4,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,2,0,0,0,1,0,7,0,0,5,0,0,0,0],[4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1],[0,0,2,0,0,3,0,3,0,4,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],] -- 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[[2,0,0,1,0,2,0,2,0,0,1,0,3,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,1,0,0,0,3,0,0,0,5,0,1,0,3,0],[0,4,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,3,0,0,1,0,0,3,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,9,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0],[1,0,2,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,1,0,0,0,0,0,0,7,0,1,0,0,0,0],[0,0,1,0,0,0,0,0,3,0,0,1,0,0,0,0,2,0,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,1],[0,0,4,0,0,2,0,0,0,0,0,0,0,0,2,0,4,0,0,0],[0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,2,0],[2,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,1,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[2,0,4,0,0,6,0,2,0,0,2,0,0,3,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,3,0,0,0,0],[4,0,0,2,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,4,0,0,3,0,0,0,2,0,0,0,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0],[6,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,3,0,0,0,0,1,0,0,5,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,2,0,0,0],[0,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,1,0,4,0,0,3,0,0,2,0,0],[0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,1,0],[2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,0],[0,0,1,0,1,0,3,0,7,0,0,0,0,0,1,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[1,0,1,0,1,0,2,0,0,1,0,2,0,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,4,0,0,1,0,2,0,0,3,0,0,1,0,0,2,0,0],[0,0,3,0,0,0,0,3,0,0,9,0,0,0,0,1,0,0,0,3],[2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,1,0,7,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,5,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0],[0,5,0,0,0,0,0,3,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0],[3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,2,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,1,0,4,0,1,0,0,0],[8,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,3,0,0,0,2,0,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,4,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,0,0,0,0],] -- [[1,0,9,0,1,0,1,0,5,0,0,0,3,0,1,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,8,0,0],[0,0,2,0,0,0,2,0,0,0,1,0,9,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,3,0,1,0,0,0,3,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[4,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,2,0,1,0,3,0,0,3,0,0,1,0],[0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0],[2,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,1,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,2,0,3,0,0],[1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2],[0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0],] -- [[0,3,0,1,0,0,0,3,0,2,0,3,0,0,0,4,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,1,0,2,0,0,0,0,0,2,0,0,3,0,3],[0,2,0,0,0,4,0,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,6,0,1,0,4],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,0,7,0,0,0,0,2,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,3,0,0,0,0,0],[0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,8],[0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0],[0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,4,0,0,0,1,0,0,0,4,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,1,0,2,0,0,1,0,3,0,3,0,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,1,0,3,0,0,0,0,2,0,2,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,1,0,0,3,0,0,0,3,0,0,0,2,0,1,0,3,0],[0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,3,0,4,0,0,0,5,0,0,0],[0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,6,0,0,0,0,0,2,0,0,3,0],[0,0,2,0,0,2,0,0,0,0,0,1,0,7,0,0,0,0,0,0],[3,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0],[0,0,9,0,4,0,0,0,4,0,0,0,4,0,0,1,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,2,0,0,2,0,0,0,2,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,1,0,0,5,0,0,0,3,0,0,4,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,1,0,0,0,0],[2,0,0,3,0,1,0,1,0,0,0,4,0,0,0,0,0,2,0,1],[0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,3,0],[0,3,0,0,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0],[0,2,0,0,4,0,0,0,0,0,0,0,2,0,0,0,3,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,3,0,1,0,0,0,0,0,0,8,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,3],[0,0,0,0,0,1,0,0,0,0,3,0,2,0,1,0,0,0,0,0],[0,1,0,3,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,2,0,0,0,0],[2,0,1,0,0,3,0,0,0,0,4,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,1,0,1,0,0,0,3,0,2,0,0,0,4,0,1],] -- [[1,0,1,0,1,0,2,0,2,0,2,0,0,2,0,1,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,2,0,0,1,0,5,0,0,0,0,0],[0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,1,0,0,3,0,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,0,0,3,0,0,0,0,4,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,2,0,4,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,3,0,0,0,0,3,0,0,0,0,1,0,1,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[4,0,0,0,0,0,0,4,0,0,0,0,0,1,0,3,0,3,0,0],[0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,3,0,1,0,4,0,0,0,0,0],[0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0],[0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,3,0,0,0,3,0,0,2,0,0,6,0,0,0,1],[3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,2,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,3,0,2,0,0,2,0,0,3,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,4,0],[0,2,0,0,0,0,1,0,0,0,3,0,0,0,7,0,0,0,0,0],[0,0,0,0,1,0,0,3,0,0,0,0,4,0,0,0,2,0,0,0],[0,0,4,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,0,3,0,0,0,0,0,3,0,0,2,0,0,0,0,0,1,0],[0,0,0,0,0,0,7,0,0,0,0,1,0,0,3,0,3,0,0,0],[1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,4],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[1,0,5,0,2,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0,0,0,0],[2,0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],[0,1,0,0,0,0,2,0,0,0,0,2,0,4,0,0,0,1,0,3],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0],] -- [[6,0,2,0,0,1,0,3,0,0,0,2,0,8,0,5,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,3,0,0,0,2,0,0,0,0,0,0,2,0],[0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,2,0,0,5,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0],[0,0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,4,0,0,2,0],[3,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1],[0,0,0,0,0,4,0,0,5,0,0,0,0,0,0,2,0,4,0,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,3,0,2,0,1,0,0,0],[0,0,1,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1],[2,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0],[0,0,0,0,0,2,0,3,0,0,0,4,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0],[2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[2,0,0,1,0,3,0,0,4,0,1,0,2,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,0,0,2,0,0,0,0,0,0,0,2,0,2,0,0,0,0,1,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,6,0,0,2,0,0],[2,0,0,0,0,2,0,0,4,0,0,2,0,0,0,0,0,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,3,0,0],[3,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0],[0,0,0,0,0,0,3,0,3,0,0,0,0,3,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,3],[0,2,0,3,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,0,0,1,0,0,0,3,0,0,3,0,0,3],[0,3,0,0,0,0,4,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[0,0,4,0,0,1,0,1,0,0,4,0,0,2,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,2,0,0,0,4,0,0,0,0,0,0,3,0,1,0,0,0],[0,1,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,2],[0,0,0,0,9,0,0,0,0,0,0,0,0,2,0,3,0,1,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,3,0,0],[0,0,0,0,1,0,0,5,0,0,0,1,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0],[0,3,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,1,0,1],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,3,0,2,0,0,0,0,0,3,0,0,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,0,4,0,0,3,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,5],[0,0,1,0,1,0,0,0,2,0,0,3,0,0,1,0,0,0,0,0],[0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1],[0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,3,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,2],] -- [[0,1,0,2,0,0,2,0,0,2,0,2,0,1,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,3,0,0,2,0,2,0,1,0,3,0,0,3,0,2],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,4,0,0,0,0,1,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,2],[0,0,0,3,0,0,0,0,0,0,2,0,1,0,1,0,0,2,0,0],[0,0,0,0,3,0,1,0,0,0,0,0,0,4,0,1,0,0,3,0],[0,5,0,0,0,0,0,0,0,3,0,3,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,1],[0,0,0,4,0,0,0,3,0,0,0,0,2,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,7],[0,0,3,0,0,3,0,0,0,0,0,5,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,2,0,0,4,0,0,0,0,0,4,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- 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[[1,0,1,0,2,0,0,4,0,2,0,0,1,0,1,0,4,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,4,0,3,0,0,0,0,2,0,2,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,1,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,4,0,0],[2,0,3,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,1],[0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,2,0,1,0],[1,0,3,0,2,0,0,3,0,0,0,0,0,0,1,0,0,0,0,1],[0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0,0,3,0,0],[2,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,1,0,2,0,2,0,3,0,3,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0],[0,5,0,0,4,0,0,0,4,0,0,1,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0],] -- [[3,0,7,0,2,0,0,1,0,2,0,0,1,0,1,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,4,0,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,2],[0,0,0,2,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,2,0,3,0,0,0,0,2,0,2],[0,0,1,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0],[0,7,0,0,7,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0],[0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,3,0,0,0],[0,0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2],[0,4,0,0,0,0,3,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0],[2,0,2,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0],] -- 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[[2,0,0,2,0,3,0,0,0,1,0,3,0,0,0,1,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,3,0,0,4,0,0,0,4,0,2,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,1,0,5,0,1,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,2],[0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,3,0,0,1,0,0,0,0,0,0,0,3,0,0,2,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,2,0,0,1,0,2,0,0,0,0,1,0,1],[0,3,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,1,0,1,0,0,2,0,0,1],[1,0,0,0,0,3,0,0,0,0,0,0,2,0,10,0,0,0,0,0],[0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,0,2,0,0,0,0,0],[4,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1],] -- [[2,0,0,4,0,0,2,0,0,1,0,4,0,3,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,3,0,0,0],[2,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2],[0,4,0,0,2,0,3,0,0,2,0,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0],[4,0,0,0,0,4,0,0,3,0,3,0,0,0,0,0,0,0,0,3],[0,0,0,1,0,0,0,0,0,0,0,0,4,0,6,0,0,0,0,0],[0,0,3,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[10,0,0,0,4,0,0,2,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,4,0,0,0,0,2,0,3],[4,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,2,0,2,0,3,0,3,0,0,9,0,0,2,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0],[0,1,0,2,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0],[2,0,3,0,3,0,1,0,3,0,0,1,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,3,0],[3,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,0,3,0,0,0,2,0,0,3,0,0,2,0,3,0,0,0,1,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,1,0,3,0,2,0,0,0,4,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,0,3,0,0,0,2,0,0,2,0,3,0,0,0,0,0,0],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0],[3,0,0,0,0,0,2,0,4,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3],[0,1,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,0,0,0,0,4,0,0,0,0,4,0],[1,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,4,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0],[0,2,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,4],[2,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,4,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,3],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,2,0,0,0,0,0,6,0,0,0,4,0,0,0,3,0,2],[2,0,0,0,0,0,0,0,0,0,0,6,0,0,1,0,1,0,0,0],[0,0,0,0,0,6,0,0,0,1,0,0,0,3,0,0,0,7,0,0],[0,0,0,2,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,4,0,2,0,3,0,0,4,0,4,0,0,2,0,0],] -- [[0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,2,0,1,0,3,0,0,0,0,6,0,1],[3,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,1,0,0,0],[0,0,0,4,0,0,0,1,0,0,0,0,3,0,0,1,0,0,0,1],[0,1,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,2,0,1,0,3],[0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0,4,0,0,0,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[3,0,2,0,6,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,4,0,0,3,0,0,0,0,0,4,0,0,0],[0,0,8,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,4,0],[0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,1,0,1,0,0,5,0,0,2,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,1,0,0,2,0,0,2,0,0,2,0,0,0,3],] -- [[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1],[2,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0],[0,0,7,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,2,0,1,0,0],[0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0],[0,4,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,1,0,0,0,2,0,4,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,1,0,0,0,1,0,8,0,0,0,0,0,2,0,2,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0],[0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[1,0,0,0,1,0,0,2,0,0,0,0,7,0,0,3,0,0,0,2],[0,0,0,0,0,3,0,0,0,2,0,1,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,1,0,3,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,3,0,2,0,0,1,0,1,0,1,0,3,0,1,0,2,0],] -- [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,4],[3,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,1,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,5,0,0,0,0,0,4,0,1,0,0,0],[3,0,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,3],[0,0,0,4,0,0,1,0,1,0,0,11,0,0,0,0,0,4,0,0],[1,0,1,0,0,2,0,1,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,3,0,0,0,0,2,0,0,3,0,1,0],[0,4,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,0,0,3,0,2,0,1,0,6,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,3,0,0,2,0,0,2,0,2,0,2,0,1,0,3],] -- [[4,0,0,4,0,0,0,1,0,3,0,0,0,2,0,4,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,1,0,3,0,0,0,0,2,0,2],[1,0,0,0,1,0,0,0,0,3,0,0,0,0,0,7,0,0,0,0],[0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,7,0,2,0,0,0,1,0,3],[1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0],[0,0,1,0,2,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,2,0,1],[0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,1,0,0,0,0,4,0,0,1,0,0,1,0],[7,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,2,0,0,0],[0,0,4,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1],] -- [[0,3,0,5,0,2,0,0,2,0,1,0,4,0,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,4,0,1,0,0,1,0,1,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,4,0,0,0],[1,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,2,0,0],[2,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,4,0,0,0,0,4,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,7,0],[0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[3,0,0,5,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,10,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,2,0,4,0,0,0,2,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,0],[1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,5,0,0,5,0,0,4,0,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0],[0,0,0,0,3,0,4,0,0,4,0,0,3,0,1,0,0,1,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0],[0,0,5,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[4,0,0,0,0,0,0,3,0,0,3,0,0,7,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,1,0,0,0,1,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,7,0,0,0,2,0,0,1,0,0,0],[3,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[1,0,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,4,0,0],[0,0,4,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1],[2,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,3,0,0,0,0,4,0,0,0,0,2],[0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[1,0,2,0,0,2,0,0,2,0,4,0,0,4,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,3,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,3,0],[0,0,0,0,1,0,6,0,0,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,3,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,1,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,3,0],[0,0,0,2,0,0,2,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[1,0,2,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,1,0],[2,0,0,4,0,0,1,0,1,0,0,0,0,0,0,1,0,3,0,0],[0,0,2,0,0,0,0,3,0,2,0,2,0,0,1,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[3,0,0,3,0,1,0,0,0,0,4,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,4,0,0,0,1,0,2,0,2,0,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,1,0,3,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,7,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,2,0,0,0,1,0,0,0,0,0,3,0,4,0,0,0],[4,0,0,0,0,0,1,0,0,2,0,4,0,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0],[0,0,0,0,7,0,1,0,0,3,0,0,0,1,0,0,2,0,0,1],[3,0,4,0,0,0,0,4,0,0,0,3,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,2,0,3,0,0],[1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3],[0,2,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,3,0,0,0,0],[2,0,0,3,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[2,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0],] -- 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[[3,0,0,0,1,0,2,0,2,0,2,0,2,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,0,0,0,0,4,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,4,0,0],[5,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,2,0,1,0,0,0,0,0,0,3,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,0,2,0,0,4,0,0,3,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0],[3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,0,3,0,0,2,0,1,0],[0,0,0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,1],[1,0,0,2,0,3,0,0,0,1,0,0,0,4,0,1,0,2,0,0],[0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,3,0,0,0,0,5,0,0,0,2,0,0,0],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0],[1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0],] -- [[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,2,0,0,0,3,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,3],[0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,2,0,6,0,0],[0,0,3,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[0,4,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,2,0,4],[0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,1,0,0,5,0,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,3,0,1,0,0,0,7,0,3,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4],[4,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1],[0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,3,0,0],[0,2,0,0,0,0,0,0,0,4,0,1,0,0,5,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,5,0,3,0,0,2,0,1,0,0,0,3,0,1,0,1],] -- [[7,0,3,0,0,0,3,0,2,0,0,1,0,1,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,1,0,3,0,0,0,2,0,0,4,0,0],[0,0,0,0,0,0,0,3,0,4,0,0,0,2,0,0,1,0,0,0],[0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,0,0,0,7,0,0,2,0,7,0,0,0,2,0,4],[0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0],[0,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0,0,1,0,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0,1,0],[0,0,0,4,0,0,2,0,5,0,0,0,2,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0],[3,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,2,0,2,0,0,0],[3,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0],] -- [[2,0,0,5,0,0,0,2,0,2,0,0,2,0,2,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,4,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,2,0,0,2,0,0,0,0,3,0,3,0,1,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[1,0,5,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[1,0,0,0,0,3,0,6,0,0,4,0,0,0,0,3,0,0,0,2],[0,4,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,1,0],[0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,14,0,0,0,0,2,0,2,0,0,0],[0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,5,0,1,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,1,0,4,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,3,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,4,0,0,3,0,0,2,0,3,0,2,0,3,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,2,0,0,1,0,2,0,0,3,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,2,0,2,0,0,1,0,1,0,2,0,0,0,0,0,3,0,3],[0,0,0,0,0,0,2,0,4,0,0,0,0,1,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,3,0,0,0,3,0,3,0,4,0],[3,0,0,6,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[5,0,0,0,0,0,0,0,3,0,0,3,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,1,0,0,2,0,0,1,0,5,0],[3,0,0,0,2,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0],[0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],] -- 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[[2,0,1,0,1,0,1,0,4,0,0,0,1,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,3,0,3,0,0,3,0,0,3,0,2,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0],[0,0,4,0,0,3,0,0,0,2,0,0,0,2,0,0,0,3,0,0],[3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,1,0,1,0,3,0,0,0,0,0],[0,0,1,0,4,0,0,0,0,3,0,1,0,0,0,0,3,0,0,2],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,3,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,2,0,0,2,0,0,1],[2,0,4,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0],[0,0,0,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,2,0,4,0,0,0,1,0],[3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,3,0,2,0,0,1,0,2,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,0,2,0,2,0,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,0,3,0,0,1,0,4,0,0,1,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,1,0,0,3,0,0,0,0,3,0,0,0,1,0,1,0],[0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,5,0,0,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,0,3,0,0,0,0,3,0,0,0],[4,0,0,6,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,9,0,2,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[1,0,1,0,0,0,0,0,2,0,1,0,1,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0],[3,0,3,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,3,0,0,0,9,0,0,0,4,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,3],[0,2,0,2,0,0,0,0,3,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],] -- [[2,0,0,2,0,5,0,3,0,0,1,0,3,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,3,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,1,0,0,0,0,0,3,0,0,1,0,0,0,2,0],[0,0,2,0,0,0,2,0,0,0,0,0,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,2,0,2,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],[1,0,2,0,0,4,0,0,0,0,0,3,0,2,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,2,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0],[0,0,0,3,0,1,0,4,0,1,0,0,2,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0],[1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,3,0,1,0,2],[1,0,3,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,3,0,0,2,0,0,0,4,0,0],[3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[1,0,3,0,3,0,0,1,0,1,0,2,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,3,0,0,0,2,0,3,0,3,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[4,0,2,0,3,0,0,0,3,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,3,0,0,0,1,0,1,0,9,0,0,0,0],[0,0,0,2,0,3,0,0,0,0,1,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,0,2,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0],[0,0,1,0,0,0,0,0,0,7,0,0,0,1,0,0,1,0,0,0],[7,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,2],[0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,3,0,0,2,0,3,0,0,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,3,0,0,0,1,0,2,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0],[0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,3,0,0,1],[0,0,0,0,0,2,0,0,0,5,0,0,7,0,0,0,0,0,1,0],[2,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,2],[4,0,0,0,0,0,0,0,0,4,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,1,0,0,0,0,0,1,0,1,0,5,0,0,1],[0,0,0,0,0,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0],[7,0,3,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,3],[2,0,3,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0],] -- [[0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,2],[3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,3,0,0,0,3,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[5,0,0,1,0,0,1,0,8,0,0,0,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,2,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0],[0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,1,0],[0,0,0,1,0,0,0,4,0,0,1,0,0,4,0,0,0,1,0,0],[10,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,1,0,0,0],[5,0,0,0,0,0,0,0,0,4,0,0,0,0,6,0,0,0,0,0],[0,0,0,0,0,5,0,1,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,3,0,1,0,0,0,0,0,0,0,3,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,1,0,3,0,0,4,0,3,0,0,0,1,0,3,0,0],] -- [[1,0,1,0,3,0,0,0,3,0,0,1,0,2,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,7,0,0,1,0,0,0,1,0,3,0,1,0,2,0,1,0],[0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,3],[0,2,0,0,0,0,0,1,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,2,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,3,0,0,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,3,0,0,0,0,0,4,0,0,0,0,0,1,0,1,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,1,0,2,0,0,0,0,0,1],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,4,0,0,0,0,0,2,0,2,0,0,2,0,6,0,0,0,2,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,2,0,1,0,0,2,0,0,0,0,0,3],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0],[1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,4,0,0,1,0,0,1,0,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],] -- [[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,3],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,3,0,1,0,0,3,0,0,3,0,1,0,0,0,0,0,2],[0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,3],[0,3,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,5,0,0,2],[0,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,4,0,0,0,1,0,0,0,0,4,0,2,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,8,0,1,0,0,0,0],[0,0,3,0,0,5,0,0,0,0,0,0,0,0,1,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,1,0,5,0,3,0,0,3,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,2,0,1,0,1,0,0,2,0,0,3,0,0,2],] -- [[2,0,0,2,0,2,0,0,1,0,2,0,3,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,4,0,3,0,0,0,0,2,0,0,3,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0,0,1,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0],[0,0,0,1,0,0,4,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,1,0,1,0,3,0,0,0,3,0,3,0,1],[1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,2,0,0,3,0,0,5,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,2,0,3,0,0,0,0,0,4,0,0,0,2,0,1,0,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,7,0,0,0,3,0,5,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,3,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,3,0,0],[2,0,0,0,0,3,0,0,4,0,0,1,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,3,0,0,0,3,0,0,2,0,2,0,5,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,2,0,0,0,0,2,0,4,0,2,0,0,1,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,1,0,3,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,4,0,0,0,0,0,3,0,4,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,1,0,0,0,2,0,0,0,0,0],[5,0,0,0,6,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0],[0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,1,0,1],[3,0,0,0,0,0,0,0,3,0,0,2,0,0,4,0,1,0,0,0],[0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2],[0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,2,0,4,0,0,0,0,0,0,0,0,3],[1,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[4,0,1,0,2,0,0,3,0,0,0,2,0,0,4,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,1,0,2,0,2,0,1,0,3,0,0],[0,0,4,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,0,0,0,0,0,1,0,5,0,1,0,0,0],[0,4,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,7,0,0,3,0,0],[0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,4,0,0,0,1,0,0,0,0,0],[5,0,1,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,2,0],[0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,0,0,0,0,0,1,0,4,0,4,0,1,0],[1,0,0,1,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,2],[0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0],] -- [[0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3],[0,1,0,0,0,1,0,0,3,0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,4,0,1,0,0,5,0,0,4],[0,2,0,1,0,0,0,3,0,1,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,2,0,2,0,1],[2,0,0,0,0,0,4,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,2],[0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,4,0,0],[3,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3],[1,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,1,0,0,0],[0,0,0,4,0,0,4,0,0,0,0,0,0,0,3,0,0,0,2,0],[2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,2,0,2,0,0,2,0,4,0,0,0,0,3,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,3,0,0,0,3,0,2,0,0,3,0,1,0,0,2],] -- [[1,0,4,0,0,3,0,0,2,0,1,0,2,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,1],[0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,2,0,0,0,0,5,0,0,0,0,0,0,4,0,0,0,0,0],[1,0,0,0,3,0,1,0,0,2,0,0,0,0,0,0,2,0,0,1],[0,0,0,0,0,0,0,1,0,0,0,4,0,0,1,0,0,0,0,0],[3,0,0,3,0,0,0,0,0,0,0,0,0,2,0,3,0,0,2,0],[0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,4,0,0,0,1,0,0,0,0,2],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0],[0,0,4,0,0,0,0,0,0,1,0,2,0,4,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,1,0,9,0,0,0,1,0,0,0,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,0,2,0,6,0,0,1,0,0,0,6,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[3,0,0,0,0,0,0,3,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,2,0,0,0,3,0,0,2,0,2,0,0,0,0,1,0,1,0],[4,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,5,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0],[2,0,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,1,0],[0,0,0,0,0,5,0,0,2,0,0,0,0,0,0,1,0,0,0,0],[2,0,3,0,0,0,0,1,0,0,0,2,0,0,1,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,0,0,0,0,1,0,0,0,0,4,0],[3,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,1,0,4,0,0,0,0,4,0,0,0,0,4,0,0,0],[5,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0],[3,0,0,0,3,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,1,0,1,0,5,0,0,0,1,0,4,0,0,0,1,0,0,1],] -- 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[[0,0,0,5,0,6,0,0,3,0,0,0,2,0,3,0,0,2,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,1,0,3,0],[2,0,0,0,0,0,0,0,0,0,0,0,4,0,4,0,0,0,0,0],[0,0,3,0,0,1,0,0,2,0,0,0,0,0,0,0,0,3,0,0],[2,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[2,0,1,0,2,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,2,0,0,0,2,0,0,3,0,0],[0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,1,0,0,0,3,0,0,1,0,0,0,2],[0,0,5,0,0,0,1,0,0,5,0,0,0,0,5,0,1,0,0,0],[4,0,0,0,1,0,0,2,0,0,0,0,3,0,0,0,0,3,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,2,0,0,3,0,0,1,0,1,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1],[2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,4,0,1,0,0,2,0,2,0,0,3,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,6,0,3,0,2,0,0,0,0,0,0,0,0,1],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,1,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,2,0,0],[0,0,0,0,0,4,0,0,2,0,0,3,0,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,4,0,1],[0,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0],[0,0,0,0,3,0,0,5,0,4,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,3,0,0,0,2],[0,0,3,0,0,0,0,0,1,0,0,4,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,3,0,0,5,0,0,0,0,0,0,0,0,2,0,1],[0,3,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,3],[0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,3,0,2,0,1,0,2,0,0,4,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,1,0,3,0,0,0,0,0,4,0,0,0,3],[0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,3,0,0,0],[3,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,3,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,4,0,0,4,0,0,0,0,2,0,1],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,1,0,3,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,8,0,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0],[0,0,0,0,0,3,0,3,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,3,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,3,0,0,3,0,0,3,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,2],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1],[0,0,0,0,0,1,0,1,0,2,0,0,2,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1],[3,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,2,0,0,0],[0,0,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,3,0],[4,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,2,0,0,0],[0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,1,0,1],[0,1,0,0,0,1,0,1,0,0,3,0,0,0,3,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,0,0],[1,0,3,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,1,0,0,0,7,0,0,1,0,4,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,0,3,0,1,0,1,0,5,0,0,3,0,0,3,0,3,0,3,0],] -- [[2,0,0,2,0,0,1,0,3,0,0,2,0,2,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,0,0,0,0,3,0,3,0,0,1,0,1],[0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,1,0],[4,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,5,0,0,0],[0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1,0,0,0,0],[1,0,1,0,2,0,1,0,0,0,0,0,0,0,4,0,2,0,0,0],[0,0,0,0,0,0,0,5,0,3,0,0,0,0,0,0,0,0,2,0],[1,0,3,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0],[1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,1,0,1,0,3,0,0,0,1,0,2],[4,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,3,0,0,2,0,3,0,0,3,0,0],[0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,4,0,0,0,3,0,0,2,0,1,0,2,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[4,0,0,0,0,2,0,1,0,3,0,4,0,2,0,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,2,0,2,0,8,0,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0],[0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,4,0,0,1],[0,0,0,2,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0],[0,2,0,0,0,1,0,0,0,0,4,0,0,0,0,2,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,3,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,3,0,0,2,0,3,0,2,0,3,0,0,0,0,3,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0],[9,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[0,1,0,0,0,0,0,3,0,0,2,0,0,4,0,0,0,4,0,8],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,1,0,0,4,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,3,0,0,2,0,0,0,0,8,0,2,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,4,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0,2],[0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,2,0,0,0,0,0,2,0,0,3,0,0,0,0,2],[0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,2,0,0,2,0,0,0,4,0,0,2,0,0,3,0,0,0,3],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,2,0,0,0,0,1,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,2],[0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,2,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2],] -- [[3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1],[0,0,0,0,3,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,4,0,3,0,0],[1,0,4,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0],[0,0,0,0,0,6,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,2,0],[0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0],[4,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,1,0,4,0,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[3,0,0,0,0,0,2,0,0,0,5,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,3,0,2,0,0],[0,0,2,0,0,0,0,0,1,0,3,0,3,0,0,0,0,0,0,0],[4,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[4,0,0,0,2,0,6,0,0,0,0,3,0,0,2,0,0,0,0,1],] -- [[1,0,4,0,0,0,2,0,0,2,0,3,0,0,2,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,2,0,4,0,0,1,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,1,0,0,5,0,0,2,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,0,1,0,0,0,3,0,0,0,0,3,0,0,1,0,2,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[3,0,0,1,0,2,0,2,0,0,3,0,0,0,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0],[0,0,0,0,3,0,0,7,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0],[2,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,6,0,0,0,0,0,0,0,1,0,2,0,0,1,0,3],[3,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,4,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0],[3,0,0,1,0,0,0,3,0,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1],] -- [[7,0,1,0,3,0,0,2,0,0,3,0,0,0,2,0,3,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,4,0,1,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,1],[3,0,2,0,0,0,0,0,1,0,0,0,3,0,3,0,0,0,0,0],[0,0,0,0,3,0,0,3,0,3,0,0,0,0,0,0,3,0,0,3],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,2,0,0,0,7,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0],[0,0,4,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,3,0],[2,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,2,0,1,0,2,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,5,0,0,0,3,0,0,1,0,3],[0,0,0,8,0,3,0,0,0,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,3,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0],] -- [[2,0,2,0,0,1,0,2,0,0,2,0,0,3,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,1,0,8,0,0,0,0,0,0,0,1,0,3,0,1],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,3,0,0,0,0,1,0,1,0,0,0,0,0,0,6,0,0,0],[0,0,0,0,2,0,2,0,4,0,4,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[4,0,1,0,2,0,2,0,0,0,1,0,6,0,2,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,2,0,1,0,2,0,0,0,0,0,2,0,0,0,0],[0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,2],[0,1,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3],[0,7,0,0,0,3,0,0,2,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,6,0,0,0,0],[3,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[2,0,4,0,0,2,0,0,1,0,4,0,0,4,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,3,0,1,0,0,0,0,0,1,0,2,0,0],[3,0,1,0,0,0,0,0,0,0,2,0,3,0,2,0,2,0,0,0],[0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,2,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,5,0,0,3,0,0,3],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,2,0,1,0,0,0,2,0,3,0,0,0,1,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[4,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,1,0,1,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,2,0,0,3,0,2,0,0,3],[3,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,5,0,0,0],[3,0,3,0,0,3,0,0,0,0,0,4,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0],[0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0],] -- [[3,0,2,0,3,0,0,0,2,0,3,0,0,3,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,6,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,4,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0],[1,0,0,0,3,0,0,0,0,0,3,0,5,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[3,0,1,0,2,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,2,0,3,0,0,6,0,0,2,0,0,1],[3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,3,0,1,0,2,0,0,0,0,0,1,0,1],[0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,1,0,0,0],[1,0,4,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,4,0,0,0,0,0,0,1,0],[3,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,3,0],[0,0,0,0,1,0,0,0,0,0,0,2,0,5,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,0,0,3,0,0,0,4,0,3,0,0,4,0,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,3,0,0,4,0,0,4,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0],[7,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,5,0,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,2,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,3,0,0,3,0,0,0,0,0,3],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,1,0,1,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,4,0,2],[0,0,0,0,0,1,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[1,0,2,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,1,0,1,0,0,4,0,0,1,0,0,4,0,0,0,2,0,0],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1],[8,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,4,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0,0,2,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0],[0,0,0,0,0,1,0,0,0,7,0,0,0,0,1,0,0,0,0,0],[0,0,7,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,6,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0],[0,0,0,1,0,3,0,0,1,0,0,0,2,0,0,0,0,0,3,0],[1,0,3,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,1,0,0,1,0],[1,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,5,0,0,0],[0,0,0,2,0,0,0,0,1,0,0,3,0,0,2,0,0,0,0,0],[3,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,0,2,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,1],] -- [[5,0,2,0,0,2,0,0,2,0,3,0,2,0,3,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,2,0,3,0,0],[2,0,3,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1],[0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,3,0,0,0,0,2,0,0,2,0,0,0,3,0,0,0],[1,0,0,0,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,2],[0,2,0,4,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,3,0,0,3],[1,0,3,0,0,3,0,0,0,2,0,0,0,2,0,0,0,0,0,0],[0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,4,0,0],[0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[0,0,0,3,0,2,0,1,0,3,0,2,0,1,0,3,0,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,6,0,0,0,1,0],[2,0,1,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,2,0,4,0,0,0,2,0,0,0,0,3],[0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0],[0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,1,0,3,0,0,0,3,0,0,0,0,0],[1,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,4,0,0,0],[3,0,0,3,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,3],[0,0,0,0,0,2,0,0,0,0,2,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0],[4,0,0,0,3,0,3,0,0,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,0,3,0,0,0,0,2],[0,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0],] -- [[2,0,2,0,4,0,0,1,0,2,0,1,0,2,0,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0],[3,0,1,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,1,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,1,0,4,0,0,0,0,6,0],[3,0,7,0,0,0,2,0,0,0,6,0,0,0,0,0,0,2,0,2],[0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,4,0,0,0,0],[0,0,1,0,0,7,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[3,0,0,1,0,0,0,0,2,0,3,0,0,0,1,0,2,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,4,0,0,0,0,3,0,2,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,3,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0],[1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[1,0,7,0,2,0,1,0,2,0,1,0,3,0,3,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,2,0,0,4,0,0,5,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,5,0,0,3,0,0,0,0,0,4,0,4,0,0,0,3],[2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,2,0,0,0,0],[0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,4],[0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0],[8,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,2,0,0,3,0,0,0,0,0,2,0,0],[2,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,1,0,0,0,0,0,0,1,0,0,0,8,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],] -- [[7,0,1,0,2,0,0,4,0,0,3,0,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,2,0,0,3,0,4,0,0,0,0],[0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,1,0,0,1,0,3,0,0,0,0,0,1,0],[1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,3,0,3,0,2],[0,0,0,0,2,0,0,1,0,1,0,4,0,0,0,0,0,0,0,0],[7,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,3,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,3,0,0],[8,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,1,0,7,0,0,0,0,3,0,0,0],[0,0,0,0,0,2,0,3,0,0,8,0,0,0,0,0,0,0,0,3],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0],[1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0],] -- [[2,0,5,0,0,0,4,0,0,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,3,0,0,1,0,1,0,9,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,7,0,0,0,0],[0,0,2,0,2,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,2,0,3,0,0,0,1,0,1,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,1,0,0,0,5,0,0,0,0],[0,0,0,7,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,1,0,0],[1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,1,0,6,0,0,0,0,1,0,0,0],[1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,1],[0,0,1,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,3,0,0,0,1,0,0,0,3,0,0,0,1,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0],[1,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0],] -- [[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,5,0,0,1,0,0,5,0,0,5,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,3,0,0,3,0,0,3,0,0,3,0,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0],[0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,2],[0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,1,0,0,5,0,0,0,0,0,0,4],[1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,4,0,1,0,0,0,4,0,0,0,4,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,5,0,3,0,0,0,0],[0,0,0,1,0,1,0,6,0,4,0,0,2,0,1,0,0,4,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,3,0,1,0,1,0,0,2,0,2,0,1,0,1],] -- [[1,0,3,0,0,1,0,1,0,1,0,4,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,3,0,3,0,0,0,0,1,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,2,0,2,0,0,0,0,2,0,0],[1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,3],[0,1,0,0,2,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0],[2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,3,0,1,0,6,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,4,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3],[0,0,3,0,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,1,0,0,1,0,10,0,0,0,2,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,4,0,0,0,4,0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,1,0,3,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- 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[[3,0,3,0,0,2,0,0,4,0,0,0,4,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,2,0,2,0,0,0,0,9,0,2,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3],[0,1,0,0,0,3,0,5,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,3,0,0,0,0,0,3,0,0,2,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,3,0,1],[0,0,3,0,0,0,3,0,0,0,3,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0],[2,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,3,0,0,0,0,2,0,0,0,0,0,2,0,0,0,2,0,0],[3,0,0,0,0,0,0,0,0,2,0,2,0,0,0,2,0,0,0,2],[0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[2,0,0,2,0,0,1,0,1,0,1,0,2,0,0,2,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,3,0,4,0,0,0,1,0,2,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[7,0,0,0,0,0,3,0,0,0,0,2,0,2,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[4,0,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,2],[0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,3,0,0,0,0,0,0,1,0,4,0,0,1],[7,0,1,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,3,0],[0,0,0,2,0,0,3,0,0,0,0,0,0,3,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,3],[1,0,2,0,0,2,0,1,0,0,0,0,3,0,0,0,3,0,0,0],[0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0],[0,0,1,0,3,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[0,0,2,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,3,0,3,0,0,0,2,0,0,4,0,0,2,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,3,0,1,0,0,1,0,2,0,0,0,0],[2,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,4,0,0],[0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,4,0,0,0,1,0,2,0,3,0,0,0,0,0,1,0],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,2,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,1,0,3,0,0,3,0,0,2,0],[1,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,3,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,3,0,0],[0,0,0,3,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,3,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,0,0,0,3,0,0,7,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,1,0,0,5,0,0,0,0,0,0,3,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,1,0,0],] -- [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,4,0,0,1,0,0,0,0,0,4,0,0,3,0,0,1],[2,0,0,0,0,0,0,0,0,0,5,0,1,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,4,0,0,0,1,0,0,2,0,1,0,0,0],[0,0,0,4,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,4],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,5,0,3,0,1,0,0,0,0,4,0,0,0,0,0,3,0,1],[0,0,0,0,0,1,0,1,0,1,0,0,0,5,0,0,3,0,0,0],[0,3,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3],[0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,3],[0,1,0,0,0,6,0,0,0,0,0,3,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,4,0,1,0,0,0,0,0,0,3,0],[0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,1,0,0,3,0,0,0,0,0,2,0,0,0,3],] -- [[4,0,5,0,0,3,0,0,4,0,0,0,0,2,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,4,0,3,0,3,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,1],[4,0,0,0,0,2,0,0,0,3,0,0,3,0,3,0,0,0,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,3,0,0,0,0,0,1,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,1,0],[3,0,0,4,0,0,0,3,0,1,0,6,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0],[0,0,1,0,3,0,0,0,0,3,0,0,0,0,4,0,0,1,0,0],[7,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,3,0],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,1,0,4,0,0,1,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,1,0,3,0,0,4,0,6,0,0,0,3,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,3,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,2,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,3,0,1,0,3,0,0,3,0,0,0,0,0],[4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,1,0,0,0,3,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,2,0,2,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,4,0,0,0,5,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,3,0,0,2,0,0,0,0,0,1,0,1,0,1],[0,0,4,0,0,0,0,0,0,0,0,6,0,0,2,0,8,0,0,0],[0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,3,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,0,1,0,1,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[1,0,2,0,0,3,0,1,0,2,0,2,0,3,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,1,0,0,0,0,1,0,0,2,0,0,3,0],[0,0,0,0,0,0,3,0,5,0,1,0,0,1,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,3,0],[9,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,6,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,4,0,0,0,0,0,0,0,4,0,0,1,0],[0,0,0,0,0,0,1,0,0,0,0,1,0,4,0,0,0,3,0,0],[2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,1,0,0,0,0,3,0,1,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,4,0,0,0,0,0,1,0,1,0,1,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,1,0,0,3,0,0,3,0,0,0,4,0,0,2,0,0,0,2],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,5,0,0,3,0,2,0,0,1,0,0,3,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3],[0,0,0,0,0,3,0,0,0,0,6,0,0,0,0,4,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,3,0,1,0,2,0,0,0,2,0,0,0],[0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1],[1,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,3,0,0,0,0,1,0,0,2,0,0,0,0,3,0,3],[0,1,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,1,0,0,3,0,0,0,2,0,0,0],[1,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,3,0,0,0,0],[1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2],] -- [[1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,3,0,0],[0,0,2,0,0,3,0,0,3,0,0,0,1,0,3,0,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,4,0,0,0,0,2,0,0,2,0,0],[2,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,2,0,0,1,0,0,4,0,0,0,0,4,0,0,0,0],[2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,4,0,0,0,0,0,3,0,0,0,3,0,1,0,0,0],[4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0],[0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,3,0,0,0,0],[0,0,0,2,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,0,0,6,0,0,0,0,0,1,0,0,0,0,2,0],[3,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,2,0,0,0,1,0,6,0,0,0,0,1,0,0,0,1,0],] -- [[2,0,0,4,0,1,0,4,0,0,0,0,2,0,0,2,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,7,0,0,4,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,3,0],[0,0,4,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,4,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,6,0,4,0,0,0,3,0,0,0,3,0],[1,0,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0],[0,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,4,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,4,0,2,0,3,0,0,1,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0],] -- [[3,0,0,0,2,0,1,0,2,0,5,0,1,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,2,0,4,0,0,0,0,0,0,0,4,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0],[0,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,0,0],[1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,3,0,0,1,0,2,0,0,3,0,0,4,0,4],[0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,3,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2],[0,4,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,3,0,2,0,0,2,0],[4,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0],[0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2],[1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,1,0,1,0,0,0,1,0,0,0,5,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,3,0,0],[1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0],[0,0,3,0,3,0,0,0,0,3,0,0,0,1,0,0,0,2,0,0],[2,0,0,0,0,0,3,0,0,0,0,1,0,0,0,2,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0,4,0,0,2,0,0,0,2,0,0,1],[1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0],[2,0,0,1,0,0,1,0,0,4,0,0,0,3,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[3,0,0,4,0,0,2,0,3,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,4,0,0,0,0,4,0,0,0,3,0,0,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,7,0,0,0,0,0,2,0,4,0,0,3,0,0,0,0,2,0],] -- [[3,0,2,0,2,0,0,3,0,0,1,0,3,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,3,0,0,6,0,0,0,1,0,1,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[6,0,0,0,3,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[3,0,0,4,0,0,3,0,0,1,0,3,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0],[0,0,3,0,0,0,2,0,0,0,0,4,0,3,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,4,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,4,0],[1,0,3,0,0,0,0,0,8,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,2,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,0,0,0,1,0,0,0,2,0,2,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],] -- 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[[1,0,1,0,5,0,0,3,0,0,0,2,0,2,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,2],[0,0,0,0,0,0,1,0,2,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[1,0,3,0,0,3,0,2,0,5,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[3,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,2,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,1,0],[10,0,3,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,1],[0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,2,0,11,0,0,0,0,1,0,0,0,6,0,1],[3,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,3,0,6,0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[4,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[3,0,0,0,2,0,2,0,0,3,0,3,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,3,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,2],[0,0,0,0,0,0,3,0,0,0,0,0,2,0,1,0,0,0,0,0],[0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,3,0,0,0,0],[2,0,3,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,2,0],[0,0,0,0,2,0,0,0,0,1,0,6,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,1,0,0,0,0,0,3,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3],[0,0,3,0,1,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,3,0,1,0,0,0,0],[2,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,2,0,4,0,0,0,0,0,0,3,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,3,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0],[0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1],] -- [[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2],[2,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,1],[0,0,0,0,0,0,4,0,0,0,3,0,2,0,1,0,0,0,0,0],[0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,2,0,2,0,0,0,2,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[0,2,0,2,0,1,0,0,0,3,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,3],[3,0,0,0,0,0,0,0,0,1,0,3,0,0,3,0,0,0,0,0],[0,0,0,4,0,5,0,2,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0,2],[0,0,0,0,0,3,0,1,0,0,0,0,1,0,1,0,0,0,0,0],[3,0,3,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,3,0,0,0],[0,4,0,2,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,1,0,1,0,3,0,3,0,0,3,0,0,0,3],] -- [[6,0,1,0,2,0,1,0,1,0,1,0,3,0,1,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,7,0,0,0,0,0,2,0,0,2,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],[0,3,0,0,4,0,3,0,0,0,0,0,0,0,0,1,0,2,0,4],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0],[3,0,0,3,0,0,4,0,4,0,0,0,0,3,0,0,0,6,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,7,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,4,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[1,0,0,0,0,0,0,1,0,5,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,1,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[4,0,0,3,0,3,0,0,1,0,1,0,1,0,1,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,1,0,1,0,3,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,4,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[4,0,0,0,0,1,0,1,0,2,0,0,0,2,0,0,0,0,0,0],[0,0,1,0,2,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,3],[0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,3,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,2,0,0,3,0,0,0,3,0,0],[2,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,3,0,0,0,2,0,1,0,0,0,0,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,5,0,0],[5,0,2,0,0,0,4,0,0,4,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,4,0,0,0,3,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0],] -- [[4,0,0,2,0,0,4,0,0,1,0,3,0,0,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,3,0,4,0,0,3,0,4,0,0],[3,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,0,0,0,3,0,1,0,7,0,1,0,0,0,0,0],[2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0],[0,1,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,0,1,0,0,0,4,0,0,3,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[1,0,1,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,3,0,0,3,0,0,0,1,0,3,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,3,0,0,2,0,0,0,0,7,0,0,0,1,0,0,1,0,4,0],[0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0],[1,0,3,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],] -- 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[[1,0,2,0,2,0,1,0,1,0,2,0,3,0,4,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,1,0,4,0],[0,1,0,2,0,0,0,0,0,0,0,2,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,0],[3,0,0,0,1,0,0,0,4,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[4,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0],[0,0,0,0,2,0,0,0,0,0,0,2,0,2,0,2,0,0,0,0],[0,0,2,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,0,0,3,0,0,0,0,1,0],[0,4,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,1,0,0],[0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,4,0,0,1,0,0,0,1,0,2,0,0],[0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0,3,0],[0,3,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[2,0,4,0,0,0,0,1,0,1,0,3,0,3,0,1,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,7,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3],[2,0,0,0,0,0,0,6,0,0,2,0,3,0,1,0,0,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0],[3,0,0,0,0,3,0,6,0,0,0,0,0,0,2,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,1,0,6,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,3,0,0,0,0,1,0,3,0,7,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0],[1,0,3,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0],[1,0,0,0,0,2,0,0,0,2,0,0,0,0,3,0,0,0,0,0],[0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,2],[2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[3,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0],[0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,6,0,1,0,3,0,0,0,0,1,0,0],[2,0,1,0,6,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,3,0,0,0,0],[2,0,0,2,0,2,0,0,0,2,0,0,0,0,1,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,6,0,0,3,0,0,0,0,0,0,1,0,0],[0,0,1,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,1,0],[3,0,0,1,0,3,0,0,0,0,0,1,0,0,0,0,3,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,3,0,5,0,0,3,0,0,0,0,0,0],[0,2,0,0,0,0,3,0,0,1,0,0,0,0,4,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,6,0,0,1,0,4,0,0,3,0,0,0,2,0,0,3,0,0],] -- [[3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1],[0,0,0,0,4,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1],[0,0,3,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,1,0,0,0,4,0,0,0,2,0,0,0,0,3,0,1],[0,0,2,0,0,0,2,0,0,0,2,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,7,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,2,0,7,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,1,0,4,0,0,3,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,0],[2,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,0],[1,0,0,0,4,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0],[4,0,0,0,3,0,0,0,3,0,0,3,0,0,0,0,0,0,3,0],] -- [[3,0,0,0,3,0,0,0,6,0,0,8,0,0,1,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,8,0,0,0,0,1,0,0,0,0,0,0,0,5,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,3,0,4,0,0,0,0,0,0,0,2],[3,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,1,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[3,0,0,0,0,2,0,0,1,0,0,0,0,0,3,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,0,2,0,2,0],[7,0,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,6,0,0,2,0,0],[0,0,0,0,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0],[4,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0],[0,0,1,0,3,0,2,0,1,0,0,1,0,0,1,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,2,0,0,0,0,0,3,0,0,3,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0],] -- [[1,0,1,0,1,0,3,0,2,0,3,0,0,0,2,0,5,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,4,0,0,0,0,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,0,4,0,2,0,0,0,0],[0,0,3,0,2,0,1,0,0,0,0,0,0,0,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,5,0,0,3,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,5,0,0,7,0,2,0,0,1],[0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,3,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0],[0,0,0,0,2,0,1,0,3,0,3,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,5,0,0,0,0,0,0,0,0,0,4,0,0,0,1],[0,0,0,0,2,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,3,0],[0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,4,0,0,1,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- [[0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,1,0,0,5,0,2,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0],[0,0,0,0,0,3,0,0,0,0,2,0,1,0,0,0,4,0,0,0],[1,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,2,0,5,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3],[0,0,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,1,0],[3,0,0,0,0,0,1,0,0,0,4,0,7,0,0,0,0,0,0,1],[0,0,2,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,3,0,0,0,0,0,0,0,0,4,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,1,0,1,0,2,0,3,0,0,0,0,0,1,0,0,5,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,2,0,0,0,3,0,4,0,3,0,1,0,1,0,0,2],] -- [[6,0,0,2,0,0,1,0,1,0,3,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,3,0,4,0,3,0,0,0,0,1,0,3,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[3,0,0,0,2,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,4],[0,0,0,1,0,6,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,3,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,1,0],[4,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,3,0,0,2,0],[1,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,3],[0,0,1,0,1,0,1,0,3,0,1,0,0,0,2,0,1,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0],[0,0,0,3,0,3,0,0,0,0,2,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[2,0,0,0,0,3,0,0,1,0,0,1,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0],] -- [[0,0,3,0,1,0,0,0,0,1,0,0,0,3,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,9,0,0,4,0,0,0,3],[0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,1],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,2],[1,0,0,2,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,8,0,0,0,1,0,2,0,0,2],[3,0,0,0,4,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,5],[0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,4,0,0,0,4,0,3,0,1,0,0,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,1,0,2,0,0],[3,0,0,0,4,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,1,0,0,0,2],[0,0,0,0,0,0,0,4,0,0,0,2,0,1,0,0,0,1,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1],] -- [[4,0,2,0,1,0,2,0,0,3,0,0,3,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,3,0,4,0,3,0,4,0,1,0,1,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[15,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,4,0,2,0,0,0,0,1,0,4,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,3,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2],[0,2,0,0,0,0,2,0,0,3,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,3,0,0,1,0,1,0,1,0],[0,0,1,0,0,0,0,2,0,1,0,0,0,2,0,4,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,2,0,0,0,0,2,0,2,0,0,0,3,0,0],[2,0,6,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[2,0,3,0,0,0,1,0,3,0,0,2,0,4,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,3,0,0,1,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,2,0,3,0,1,0,0,0,1,0,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,0,1,0,2,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,1,0],[0,0,0,1,0,3,0,0,3,0,0,0,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,3,0,3,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,4,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,5,0,0,3,0,0,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,3,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,4,0,3,0,0,0,0,1,0,1,0,3,0,2,0,0,0,0],[2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,4,0,1,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,1],[7,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[10,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2],[0,0,0,0,4,0,0,0,0,0,2,0,0,7,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,1,0,4,0,0],[4,0,0,2,0,0,2,0,0,0,1,0,3,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,2,0],[0,0,4,0,0,0,0,0,1,0,2,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[5,0,3,0,0,4,0,3,0,0,2,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0],[3,0,0,0,2,0,0,4,0,0,0,5,0,0,0,2,0,0,0,0],] -- [[6,0,0,0,2,0,0,5,0,0,2,0,6,0,0,0,4,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,3,0],[0,0,0,0,1,0,3,0,1,0,0,0,0,2,0,0,0,0,0,0],[2,0,8,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,3,0,3,0,3,0,4,0,0,1],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,2,0,0],[0,1,0,0,0,2,0,3,0,3,0,0,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,2,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0],[2,0,1,0,3,0,3,0,0,0,0,5,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0],[0,4,0,0,0,0,0,0,3,0,0,0,0,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],] -- [[0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0],[0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,1],[0,0,0,0,0,0,3,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,3,0,0,0,0,0,0,3,0,2,0,0,0,3,0,0,0,0,3],[0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[2,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,5,0,4,0,0,0,0,2,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4],[2,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0],[0,1,0,0,0,0,4,0,0,0,2,0,0,0,0,0,1,0,0,0],[0,0,0,0,4,0,0,0,0,1,0,1,0,0,3,0,0,0,0,0],[1,0,0,3,0,1,0,0,3,0,0,0,0,1,0,0,0,3,0,7],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,0,3,0,2,0,2,0,0,2,0,1,0,0,2],] -- [[1,0,2,0,0,3,0,0,2,0,1,0,1,0,4,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,1,0,0,0,0,0,1,0,2,0,2,0,0,2,0,0,0],[0,0,0,0,1,0,1,0,4,0,0,0,0,0,0,1,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,3,0,0,0],[3,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0],[1,0,3,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2],[0,0,0,0,3,0,0,2,0,0,0,0,3,0,0,1,0,3,0,0],[0,0,2,0,0,0,0,0,0,6,0,0,0,0,4,0,0,0,0,0],[3,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,9,0,0,0],[0,4,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,2,0,0,0,0,0,3,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[3,0,0,0,1,0,1,0,2,0,2,0,2,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,4,0,0,0,0,0,0,1,0,6,0,0,4,0],[0,4,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3],[0,0,2,0,0,0,0,0,1,0,0,1,0,3,0,0,0,0,0,0],[8,0,0,0,1,0,2,0,0,2,0,0,0,0,0,0,5,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,2,0,4,0,4,0,0,0,1,0,0,1,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,0,10,0,0,2,0,0],[0,0,0,8,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,2],[0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,3,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2],[0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],] -- 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[[2,0,0,2,0,0,1,0,4,0,1,0,4,0,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,4,0,0,0,1,0,1,0,0,0,0,1,0,4],[0,0,0,3,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,2,0,0,0,0,0,0,0,1,0],[4,0,0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,3],[0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,4,0,0,2],[0,2,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3],[3,0,0,2,0,0,0,0,0,0,0,6,0,0,2,0,0,0,0,0],[0,0,4,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1],] -- [[1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0],[1,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,1,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0],[0,2,0,1,0,0,0,0,0,3,0,0,4,0,0,0,0,7,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,0,4,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,3,0,0,0,2,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,4,0,2,0,0,0,0,0,0,1,0,0],[2,0,0,3,0,0,5,0,0,0,0,0,0,3,0,1,0,0,1,0],[0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,2,0,0],[1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2],[0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,2,0,1],[0,4,0,0,0,0,0,2,0,0,0,2,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0],[0,0,2,0,0,0,0,10,0,0,4,0,1,0,0,3,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,2,0,2,0,1,0,1,0,0,2,0,0,2],] -- [[3,0,0,0,1,0,2,0,0,3,0,0,0,4,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,3,0,0,0,3,0,0,0,0,1,0,2,0,0],[0,6,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,2,0,3,0,1,0,0,0],[2,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,3,0,3,0,0,5,0,1,0,2,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,1,0,1,0,0],[1,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0],[1,0,4,0,0,6,0,0,8,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,3],[0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0],[0,0,0,3,0,3,0,0,2,0,0,2,0,0,2,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,0,0,2,0,0,4,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0],[0,0,2,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,1,0],[2,0,0,0,3,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,4,0,0,1,0,0,0,0,0],[1,0,3,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0],[0,0,0,2,0,1,0,8,0,0,0,0,3,0,0,4,0,1,0,0],[4,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,2,0],[0,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,4,0,1,0,1,0,2],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,3,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,2,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0],[4,0,0,3,0,3,0,1,0,0,0,0,0,1,0,3,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,3,0,0,2,0,0,4,0,4,0,0,0,0,2,0],] -- [[2,0,6,0,2,0,0,8,0,0,0,3,0,0,3,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,3,0,0,0,0,0,3,0,2,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,4,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,0,3,0,3,0,0,0,4,0,0,0,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0],[8,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,4,0,0],[0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,4,0,1,0,1,0,4,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,5,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2],[7,0,0,0,0,0,0,3,0,0,3,0,4,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,2,0,2,0,2,0,0,0,0,0,3,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- 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[[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,1],[0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,1],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,2,0,6,0,0,0,0,0,2,0,0,0,0,3,0,0],[1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,7,0,0,0,0,0,6,0,0,0,2,0,0,1],[0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,3,0,2,0,0,0,2,0,1],[0,0,0,0,0,4,0,1,0,0,0,0,1,0,0,0,3,0,0,0],[0,0,0,4,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,1],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,1],[0,2,0,2,0,0,0,0,2,0,0,5,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,4,0,0,3,0,0,0,3,0,0,2,0,1,0,0,2],[0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,0,2,0,0,0,1,0,0,2,0,0,1,0,0,2],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0],[0,4,0,0,0,0,0,5,0,0,0,1,0,2,0,0,0,4,0,1],[0,0,0,0,3,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,0,3,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,9],[0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,1,0,1,0,0,0,0,0,3,0,10,0,2],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[1,0,0,0,0,2,0,0,3,0,0,0,1,0,0,7,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0],[0,4,0,0,5,0,0,3,0,1,0,0,2,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,3,0,0,0,3,0,2,0,1,0,1,0,1],] -- [[2,0,2,0,3,0,0,1,0,1,0,1,0,2,0,2,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,1,0,3,0,1,0,0,0,0,0,8,0,0,0],[1,0,1,0,2,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,5,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,4,0,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[3,0,0,0,0,2,0,0,0,0,4,0,1,0,2,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,2,0,0,3,0,0,0,1,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[9,0,0,0,0,0,1,0,0,0,2,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,3,0,3,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0],[0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,2,0,0,1,0,4,0,0,3,0,0,0,0],] -- [[0,3,0,3,0,2,0,0,1,0,2,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,1,0,1,0,2,0,0,2,0,2,0],[4,0,0,0,0,0,0,0,1,0,1,0,5,0,0,0,0,0,0,0],[0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,3,0,0,0,3,0,0,3,0],[0,1,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,1],[3,0,0,0,4,0,0,0,0,3,0,1,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,1,0,3,0,0,2,0,1,0,1,0,3,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0],[2,0,0,3,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,5,0,4,0,0,0,0,0,1,0,3,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,2,0],] -- [[7,0,1,0,1,0,3,0,0,4,0,4,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,3,0,0,0,0,0,1,0,4,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,4,0,0],[5,0,0,1,0,2,0,0,0,0,0,0,0,0,3,0,2,0,0,0],[0,0,0,0,7,0,0,8,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,1,0,2],[0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,4,0,0,2],[0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,1,0],[0,0,0,0,2,0,0,0,2,0,0,1,0,2,0,0,0,3,0,0],[0,0,0,0,0,0,0,5,0,0,7,0,0,0,0,0,0,0,0,2],[2,0,3,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],] -- [[1,0,2,0,4,0,2,0,0,3,0,0,1,0,1,0,3,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,2,0,2,0,1,0,2,0,0,0,0,2,0],[0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,1,0,0,0,0,0,4,0,0,1,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0],[4,0,0,0,3,0,0,0,0,4,0,0,2,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[3,0,0,4,0,0,2,0,2,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,4,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2],[0,4,0,0,3,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,3,0,3,0,0,3,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,2,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,3,0,0,0,2,0,3,0,0,2,0,0],[0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,1,0,2,0,0,0,4,0,0,0,0,1,0,4,0,0,1],[3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,2,0,0,2,0,2,0,0,0,4,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,7,0,0,0,2,0,0,0,2,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,3,0,0,0,0],[3,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,1,0,3,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,1,0,0],[0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,2,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,2,0,0,0,3,0,8,0,0,1,0,0,0],[3,0,0,6,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0],[4,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,1],] -- 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[[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,2,0],[1,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,3,0],[0,0,3,0,1,0,0,0,0,0,0,1,0,0,2,0,2,0,0,0],[2,0,0,0,0,7,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,1,0,4,0,0,0,0,0],[0,0,5,0,0,0,0,5,0,0,0,0,0,1,0,0,0,5,0,0],[2,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0],[0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,0,0,2,0,0,0,2,0,0,0,0,2,0,0,0,0,0,2],[0,0,0,0,0,0,0,1,0,7,0,0,0,0,0,3,0,0,1,0],[1,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,1,0,1,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,4,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,0,6,0,0,1,0,0,0,0,0,1,0],[1,0,2,0,2,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0],] -- [[0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0],[0,3,0,0,0,0,0,2,0,0,0,3,0,2,0,0,0,0,0,2],[0,0,0,0,3,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0],[0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0],[3,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,7,0,0,1,0,2,0,2,0,2],[0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,4,0,0,4,0,0,3,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2],[0,0,3,0,0,0,0,0,0,1,0,0,4,0,0,0,0,5,0,0],[0,0,0,1,0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,2],[2,0,1,0,0,0,0,0,2,0,0,3,0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,1,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,3,0,0,0,3,0,1,0,4,0,2,0,2,0,0,2],] -- [[2,0,1,0,3,0,0,0,1,0,2,0,4,0,0,0,3,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,2,0,1,0,0,0,2,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,2,0,0],[5,0,1,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,1,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],[0,0,4,0,0,3,0,0,1,0,2,0,0,0,0,3,0,1,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,3,0,1,0,0,0,3,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,6,0,4,0,0,0,0,0,0,0,3,0,0,2],[0,7,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0],[0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[0,0,0,2,0,0,1,0,2,0,0,2,0,0,4,0,0,0,4,0],[0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[1,0,4,0,0,1,0,1,0,1,0,2,0,1,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,1,0,3,0,0,2,0,0,3,0,0,2,0,1,0,4],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,3,0,0,0,1,0,3,0,0,0],[2,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,1,0,0,0,3,0,1,0,0,0],[0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,1],[0,0,1,0,3,0,0,0,0,2,0,3,0,2,0,0,0,0,0,0],[3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,1,0,0,1,0,4,0,0,4,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0],[2,0,0,0,7,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0],[0,0,4,0,0,0,1,0,0,1,0,0,0,0,5,0,0,5,0,0],[3,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,3,0,0,4],[0,0,1,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[2,0,0,0,0,2,0,3,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0],[0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,4,0,0,0,3],[0,0,0,0,0,4,0,0,0,1,0,2,0,0,0,0,0,2,0,0],[0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,3],[1,0,0,0,0,4,0,1,0,0,1,0,0,2,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,2],[0,0,0,0,0,0,0,1,0,0,0,0,4,0,3,0,0,1,0,0],[0,3,0,2,0,0,0,0,0,5,0,0,0,1,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,3,0,0,0,1,0,3,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,2,0,0,2,0,1,0,1,0,3,0,1,0,1,0,2],] -- [[2,0,0,4,0,0,0,0,1,0,2,0,0,1,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,2,0,4,0,0,0,1,0,2,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0],[0,0,1,0,2,0,0,0,0,0,2,0,4,0,0,0,0,0,0,1],[5,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,1,0,0],[0,0,0,0,0,3,0,0,2,0,0,2,0,4,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[4,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0],[4,0,0,3,0,0,0,0,4,0,1,0,0,0,2,0,1,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,4,0,1,0,0,0,0],[3,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,1,0,5,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[2,0,0,0,3,0,0,0,0,1,0,0,2,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,0,0,0,0,8,0,0,1,0,0,0,4,0,2,0,1,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,1,0,0,3,0,0,0,5,0,0,2,0,1],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,2],[1,0,0,4,0,0,2,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,1,0,0],[1,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,2],[0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,3,0,3,0,0],[1,0,2,0,0,0,4,0,2,0,0,0,2,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,1,0,0,0,0,0,1,0,3,0,0,2,0,3],[0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,3,0,0,3],[0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,3,0,0,0,3,0,0,0,3,0,0,0,1,0,3,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,3,0,1,0,0,0,0,0,2],[0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,3],] -- 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[[1,0,5,0,0,2,0,1,0,3,0,1,0,2,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,6,0,0,0,0,2,0,3,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0],[0,0,0,3,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,1,0,3,0,0,0,1,0,0,0,4,0,0,0,1,0,0,0],[2,0,0,0,0,0,1,0,0,4,0,0,0,0,0,2,0,1,0,2],[0,0,3,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0],[0,4,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,4,0,2,0,0,0,5,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,4,0,4,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,1,0,3,0,0,2,0,0,0,0,0,3,0,0],[1,0,3,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0],] -- [[1,0,1,0,0,0,0,2,0,0,0,3,0,1,0,1,0,3,0,0],[0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,3,0],[2,0,0,0,1,0,0,0,0,3,0,0,0,2,0,0,2,0,0,0],[0,0,1,0,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,1],[1,0,1,0,0,2,0,0,3,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[3,0,2,0,0,2,0,0,0,0,0,0,0,0,3,0,1,0,0,0],[0,0,0,0,3,0,0,6,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2],[0,0,2,0,0,0,1,0,0,0,0,7,0,0,0,1,0,0,0,0],[7,0,0,0,4,0,0,5,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0],[1,0,0,0,0,0,0,0,6,0,0,0,1,0,0,0,0,0,1,0],[0,0,1,0,2,0,0,1,0,0,0,0,0,6,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,3,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],] -- [[3,0,7,0,1,0,1,0,2,0,0,1,0,2,0,1,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,2,0,0,2,0,0,1,0,4,0,0,0,0,3],[0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,1,0,2,0,1,0,1,0,0,0,1,0,2],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,3,0,0,2,0,0,2,0,0,0,0,0,1,0,1,0],[3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,3,0,0,0,0,0,1,0,1,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,2,0,4,0],[0,5,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0],[2,0,0,0,0,2,0,2,0,0,0,1,0,0,0,0,3,0,3,0],[0,0,2,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,3,0,0],[0,0,2,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[3,0,4,0,3,0,0,2,0,0,3,0,1,0,5,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,1,0,0,5,0,0,0,2,0],[3,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,1,0],[0,0,0,0,2,0,1,0,3,0,3,0,0,0,0,0,0,1,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0],[0,0,0,0,0,4,0,0,0,0,0,4,0,0,0,0,3,0,0,0],[1,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,4,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0],[2,0,0,1,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,1,0,0,3,0,0,0,0,0,2,0,0,0,0,3,0,2,0],[0,0,0,2,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,2,0],[0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],] -- [[7,0,0,0,1,0,4,0,0,0,0,3,0,0,3,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,10,0,0,2,0,0,2,0,1,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,2,0,2,0,0,0,1,0,0,2],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[1,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,3,0,2,0,0,0,0,0,0,0,2,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,3,0,1,0,1,0,0,1,0,3],[1,0,1,0,0,3,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0],[2,0,0,0,0,3,0,0,1,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,2,0,0],[2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1],[0,0,3,0,1,0,6,0,2,0,0,0,0,0,1,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,3,0,1,0,1,0,3,0,0,6,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,0,0,0,3,0,4,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,6,0,1,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0],[0,0,0,0,0,3,0,0,1,0,4,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,4,0,0,1,0,3,0,0,0,0,0,0,0,0,4],[0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0],[0,0,5,0,4,0,2,0,0,3,0,2,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0],[0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,4,0,0,0,0],[2,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,0,0,0,0,0,0,2,0,0,4,0,0,3,0,0,0,0,0,0],[1,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,3,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,2,0,0,0,1,0,0,0,0,0,2],[3,0,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,7,0,0],[0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0],[0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,3,0,0,0,2,0,2,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,2,0,0,0,6],[1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,2,0,1,0,1,0,3,0,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,3,0,1,0,0,3,0,0,0,0,0,0,0,1,0,0,0,1],[1,0,0,0,0,0,0,0,1,0,2,0,2,0,1,0,0,4,0,0],[0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,2,0,0,0],[0,0,1,0,0,3,0,0,1,0,0,2,0,3,0,1,0,1,0,8],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,3,0,2,0,1,0,1,0,1,0,0,3,0,0,0,3],] -- [[1,0,1,0,0,3,0,0,0,4,0,1,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,3,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,4,0,3,0,1],[0,3,0,3,0,0,0,1,0,1,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,5,0,0,0,0,0,0,2,0,1,0,0,0],[0,2,0,2,0,0,0,0,2,0,0,0,3,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,3,0,1,0,0,2,0,0,2,0,0,0,1,0,0,4,0,0],[0,0,0,0,0,3,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,0,3,0,0,0,0,3,0,0,3,0,2,0,3,0,1,0,0],[0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,2,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0,3,0,0],[0,0,0,2,0,0,0,0,0,0,6,0,0,0,2,0,0,0,0,2],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,0,0,0,0,0,0,0,4,0,1,0,0,2,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1],] -- [[2,0,0,3,0,3,0,1,0,3,0,0,0,4,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,3,0,4,0,0],[3,0,1,0,4,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0],[0,0,2,0,0,0,0,3,0,3,0,0,5,0,0,0,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,4,0,0],[5,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,3,0,0,3,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0],[0,0,0,0,0,1,0,4,0,0,2,0,1,0,0,0,0,0,3,0],[3,0,3,0,3,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0],] -- [[4,0,1,0,2,0,0,2,0,0,2,0,0,4,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,1,0,3,0,4,0,0,0,0,1,0,2,0,3],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,2,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,2,0,0,0,0,2],[2,0,2,0,0,0,0,0,2,0,0,8,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,3,0,0],[0,0,12,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0],[0,0,4,0,0,0,0,0,2,0,1,0,4,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,3,0,1,0],[3,0,0,0,0,3,0,3,0,0,2,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,3,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,2,0,0,3,0,0,1,0,4,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,1,0,2,0,0,0,6,0,0,0,4,0,0,1,0,1],[0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,3,0,0,2,0,0,0,1,0,0,0,4,0,0],[3,0,3,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,3],[0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,6,0,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0,0,2,0,7,0,0,3,0,0,1,0,2],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,7,0,0,0],[0,0,1,0,2,0,0,0,1,0,0,0,2,0,3,0,0,0,0,1],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,1,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,1,0,0,0,0],[2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],] -- [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2],[0,1,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,4,0,3,0,2],[2,0,0,0,0,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,9,0,1,0,0,0,0,0,0,0,1],[0,2,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,3,0,0],[0,0,0,0,3,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0],[1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,5,0,0,1],[0,1,0,0,0,3,0,3,0,0,0,5,0,0,0,0,0,1,0,0],[0,0,0,4,0,0,1,0,0,0,1,0,0,3,0,1,0,0,1,0],[0,0,0,0,1,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2],[3,0,1,0,0,0,0,0,0,2,0,0,0,0,3,0,0,4,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,1,0,0,4,0,0,3,0,3,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,1,0,1,0,0,3,0,1,0,0,2,0,0,2,0,0,2],] -- [[1,0,2,0,2,0,0,6,0,1,0,1,0,8,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,2,0,3,0,0,0,0,3,0,1,0,0,0],[7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,1],[3,0,3,0,0,0,3,0,0,0,1,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,3,0,3,0,2,0,0,0,3,0,0,0,1],[0,1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,2,0],[6,0,2,0,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0],] -- [[1,0,1,0,2,0,0,3,0,0,3,0,0,2,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,3,0,0,0],[1,0,0,1,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,2],[0,3,0,0,0,0,0,0,2,0,1,0,0,1,0,0,3,0,0,0],[0,0,0,0,3,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,2,0,3,0,0,0,3,0,0,3,0,1,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,2,0,3,0,0,0,0,4,0],[6,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,2,0,0,0],[0,0,0,3,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,10,0,1,0,0,4,0,0,0,1],[2,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[3,0,3,0,0,0,0,0,1,0,0,0,0,0,2,0,0,5,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,1,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,1,0,2,0,3,0,3,0,0,0,1,0,0,0,0,0,2,0],[3,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[1,0,2,0,0,0,0,6,0,0,0,0,2,0,0,0,0,3,0,0],[0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0],[3,0,0,0,3,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,5,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0],[0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0],[0,0,0,3,0,3,0,0,0,0,0,0,0,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,4,0,0,2,0,0,1,0,0,0,0,0],[3,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,0,4,0,0,0,0,0,2,0,0,3],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,1,0,1,0,0,0,0,4,0,0,0,2,0,3,0,0],] -- 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[[2,0,1,0,1,0,2,0,0,3,0,0,1,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,2,0,2,0,2,0,1,0,1,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,0,2,0,4,0,1,0,1,0,0,0,0,2,0,0,4,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,1],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,6,0,0,1,0],[0,0,2,0,0,0,1,0,2,0,0,6,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,4],[1,0,0,0,0,0,2,0,0,3,0,0,0,0,3,0,0,0,0,0],[0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,4,0,0,0,6,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[4,0,0,0,0,3,0,0,1,0,0,0,0,2,0,0,3,0,0,0],[0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0],] -- [[1,0,3,0,2,0,1,0,1,0,2,0,0,1,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,2,0,0,1,0,2,0,0,2,0,0,0,4],[0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,0,2,0,0,0,4,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,4,0,5,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,3,0,0,4,0,0,0,3,0],[0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0],[5,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0],[0,0,5,0,4,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,4],[3,0,0,0,0,0,1,0,0,0,1,0,2,0,2,0,1,0,0,0],[0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,3,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[7,0,0,0,2,0,0,3,0,0,0,2,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,0,3,0,2,0,0,3,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,1,0,0,0,0,4,0,1,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0],[4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,3,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,3],[3,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0],[0,3,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,4],[0,0,0,0,2,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,8,0,0,0,0],[0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,2,0,0,6,0,1,0,2,0,0,0,5,0,0],[3,0,3,0,0,4,0,0,0,0,0,0,1,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,4,0,1,0,3,0,2,0,0,1,0,4,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,1,0,3,0,0,0,0,2,0,0,4,0],[1,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,1,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,6,0,0,6,0,0,0,0,0,3,0,0,0],[7,0,1,0,2,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,1,0,2,0,0,2,0,2,0,3,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,3,0,3,0,1,0,0,0,0,0,0],[4,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1],[0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,3,0,0,2,0],[0,0,0,3,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,2,0,1,0,0,0,5,0,6,0,0,0,0],[5,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,2,0,0,2,0,3,0,0,4,0,0,1,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,2,0,0,2,0,0,0,4,0,0,4,0,0,2,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,0,3,0,0,0,0,2,0,0,0,4,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,2],[1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,1,0,0,2,0,3,0,0,7,0,0,0,1],[0,0,0,4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,2,0,0,0,0,2,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,3,0,0,0,1,0,1,0,2,0,0,1,0,2,0],] -- [[2,0,3,0,0,2,0,1,0,3,0,0,0,1,0,2,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,0],[3,0,0,0,3,0,0,3,0,0,0,0,0,0,1,0,2,0,1,0],[0,0,0,0,0,0,3,0,0,3,0,0,1,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0],[0,0,3,0,0,1,0,5,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,0,0,0,0,0,2,0,0,2,0,0,3],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[2,0,0,1,0,3,0,0,3,0,0,0,0,0,2,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,2,0,0,0,0,2,0,3,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,1,0,0,0,0,0,4,0,0,4,0,0,0,0,1,0,0],[0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,3,0,0,0,5,0,0,3,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,0,3,0,0,0,2,0,3,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,3,0,0,0,1,0,3,0,1,0],[0,0,1,0,0,5,0,0,3,0,0,0,0,0,0,0,0,0,0,2],[3,0,0,1,0,0,0,0,0,0,1,0,3,0,0,2,0,0,0,0],[0,0,3,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,5,0,1,0],[0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,2],[0,0,1,0,0,0,1,0,0,0,6,0,0,3,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,1,0,0,0,2,0,0,1,0,0,0,0,3,0,0,0,0,0,4],[0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,2,0,3,0,0,0,1,0,2,0,3,0,3,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0],[1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0],] -- 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[[4,0,0,0,3,0,4,0,0,3,0,1,0,3,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0],[0,0,0,0,3,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1],[0,4,0,5,0,0,1,0,0,0,0,0,0,3,0,1,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0],[4,0,0,0,0,2,0,0,0,0,2,0,12,0,0,0,3,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,1],[3,0,4,0,0,2,0,1,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,4,0,4,0,0,2,0,0,0,0,0,0,0,0],[0,3,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,2,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1],] -- 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[[1,0,3,0,0,1,0,3,0,0,0,2,0,0,2,0,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,3,0,2,0,2,0,0,2,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,4,0,0,0],[0,2,0,2,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,2],[0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,3,0,0,0],[7,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3],[0,0,0,0,0,2,0,0,4,0,0,3,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,4,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,0,3,0,10,0,0,3,0],[0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,1,0],[0,0,2,0,3,0,0,0,0,0,1,0,1,0,4,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,2,0,4,0,0,1,0,1,0,2,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,0,0,6,0,0,0,0,0,0,2,0,2,0],[0,2,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,2],[0,0,2,0,2,0,0,0,2,0,2,0,0,0,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,3,0,1,0,0,0,0,1,0,3,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4],[2,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0],[0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,0,6,0,0,0],[0,6,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,3,0,0,1,0],[0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0],[0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,0,2,0,0,0,0,1,0,2,0,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,3,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,4,0,3,0,0,0,0,0,0,0],[2,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,8,0,0,0,0],[4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,3,0,0,0,0,3,0,1,0,0,0,0,3,0,0,3,0,1],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,2,0,6,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,4],[0,0,0,0,0,3,0,0,0,4,0,0,2,0,1,0,0,0,0,0],[0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,2,0,1,0,3,0,0,4,0,4,0,0,4,0,1,0,4],] -- [[0,0,0,3,0,3,0,1,0,3,0,0,4,0,3,0,0,1,0,1],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,3,0,1,0],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,3,0,3,0,0,0,1,0,3,0,0,1,0],[0,0,0,0,6,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,0,0,4,0,0,0,1,0,1],[2,0,0,0,0,0,4,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,3,0],[0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,2,0,0,0,0,2,0,0,2,0,0,0,0,3,0,0],[4,0,2,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,0,4,0,0,3,0,0,1,0,0,0,0,0,0,3],[0,0,4,0,0,0,0,0,0,0,0,4,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,1,0,0,0,0,0,0,3,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0],[1,0,4,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1],] -- 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[[1,0,1,0,4,0,0,0,0,2,0,3,0,1,0,3,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0],[0,2,0,2,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,2,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,1,0,0],[1,0,5,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[4,0,0,0,0,3,0,3,0,0,4,0,2,0,0,3,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,1,0,2],[4,0,1,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,3,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,1,0,1],[2,0,6,0,0,0,0,0,0,0,1,0,0,0,1,0,3,0,0,0],[0,0,0,0,2,0,1,0,0,0,0,2,0,3,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0],] -- [[4,0,0,2,0,0,1,0,4,0,0,0,0,2,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,1,0,4,0,0,0,2,0,0,0,3,0,0,1],[4,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,3,0,0,1,0,0,0,1,0,3,0,0,0,0,0,0,1,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0],[0,0,0,0,0,0,3,0,4,0,0,0,0,0,0,0,0,0,0,2],[0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,2,0,0,1,0,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0],[5,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0],[1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[2,0,0,0,0,2,0,0,0,1,0,3,0,0,0,0,0,0,3,0],[0,0,4,0,1,0,0,2,0,0,0,0,0,0,5,0,0,0,0,0],[3,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1],] -- [[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,3,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[4,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,3,0,0,0,4,0,2,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,5],[0,0,0,0,3,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,2,0,0,0,0],[0,3,0,1,0,0,0,0,4,0,0,0,1,0,0,0,0,0,3,0],[0,0,0,0,0,0,2,0,0,0,4,0,0,1,0,0,0,0,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,3],[0,1,0,1,0,0,7,0,0,6,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,1,0,1,0,0,0,0,4,0,1,0,0,3,0,0,0,5,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,2,0,1,0,0,2,0,1,0,0,3,0,2,0,1,0,2],] -- [[6,0,1,0,3,0,0,0,2,0,2,0,1,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,1,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,2,0,5,0,0,3,0,1,0,0,0,0],[4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0],[0,0,2,0,0,2,0,3,0,1,0,0,0,0,0,0,0,1,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0],[0,0,2,0,4,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,1,0,0,0],[2,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1],[0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0],[1,0,0,0,2,0,3,0,1,0,2,0,0,2,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0],[2,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,2],[0,1,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- [[2,0,0,1,0,1,0,1,0,1,0,4,0,0,0,3,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,3,0,0,0,2,0,0,2,0,0,0,0,0,0,1],[0,0,0,0,3,0,0,0,4,0,0,0,0,0,3,0,4,0,0,0],[0,0,3,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,4,0,0],[4,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,3,0,3,0,0,0,0,0,0],[5,0,3,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,5,0,1,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0],[3,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,1,0,3,0],[0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],] -- [[1,0,1,0,3,0,4,0,0,4,0,0,0,0,1,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,2,0,3,0,2,0,0,0,0,0],[0,0,0,1,0,3,0,3,0,0,0,0,0,0,0,0,0,2,0,2],[0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,10,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0],[0,3,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0],[5,0,0,4,0,0,9,0,0,0,0,0,1,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,6,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1],[0,0,0,0,0,1,0,0,7,0,0,3,0,0,3,0,7,0,0,0],[3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,2,0,2,0,3,0,3,0,0,3,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,1,0,4,0,0,6,0,2,0],[0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,1,0,0,0,0,2,0,4,0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1],[0,1,0,0,0,3,0,0,4,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0],[0,5,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,2,0,2,0,0],[3,0,3,0,0,3,0,0,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,2,0,2,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0],[0,1,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,5,0],[0,0,2,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0],[3,0,0,0,3,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,4,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,2,0,1,0,2,0,0,4,0,0,4,0,0,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,0,2,0,3,0,0,0,2,0,0,0,0,3,0,0,4,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,3,0,3,0,0,1,0,5,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0],[0,0,2,0,0,1,0,0,3,0,2,0,0,0,0,0,2,0,0,4],[3,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0],[0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,1,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,0,0,1,0,2,0,0,0,2,0,0,2,0,1],[1,0,0,0,0,0,0,4,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0],[4,0,1,0,7,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0],[0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1],] -- [[0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],[0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,3,0,1,0,0,2,0,0,0,0,0],[0,0,0,5,0,4,0,3,0,0,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,7],[0,0,0,0,3,0,2,0,0,0,0,2,0,0,2,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,7,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,1,0,0,1],[4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,5,0,2,0,0,0,0,3,0,0,0,5,0,2,0,0],[0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,3],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0],[2,0,0,4,0,0,0,0,0,0,3,0,2,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,6,0,2,0,1,0,1,0,1,0,1,0,2,0,1],] -- [[2,0,0,1,0,1,0,2,0,1,0,3,0,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,4,0,0,3,0,0,0,1,0,3,0,0,3,0],[0,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,4,0,0],[1,0,3,0,0,0,1,0,0,3,0,0,3,0,4,0,0,0,0,1],[0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,5,0,0,0,0,0,0,0,0,5,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0],[0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,0,1,0,0,2,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,3,0,3,0,0,0,6,0,0,0,2,0,2,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3],[1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,3,0,0],[1,0,3,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0],] -- [[0,0,1,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,2,0,0,0,3,0,0,2,0,0,2,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[3,0,0,0,0,0,0,0,3,0,4,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0],[0,0,2,0,0,0,3,0,3,0,0,0,0,0,1,0,0,0,0,0],[2,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0],[0,0,1,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,2,0],[1,0,0,2,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[1,0,0,0,0,0,3,0,0,4,0,0,0,0,0,3,0,0,0,2],[0,0,1,0,4,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0],[0,0,2,0,0,1,0,3,0,0,0,0,2,0,0,3,0,1,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1],[0,0,1,0,3,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,1,0,3,0,0,4,0,0,2,0,0,1,0,2,0],] -- [[4,0,3,0,0,2,0,3,0,2,0,1,0,2,0,4,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,2,0,2,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0],[2,0,0,8,0,0,0,0,0,0,0,3,0,0,6,0,0,0,0,0],[0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0],[1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,1],[0,0,3,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0],[4,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,2,0,0],[0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,2,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0],[0,0,1,0,0,0,3,0,0,2,0,3,0,0,0,0,2,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,6,0],[0,1,0,2,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,1,0,2],[1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,3,0,2,0,4],[0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,7,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,3],[0,0,0,0,1,0,2,0,0,0,4,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2],[0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,1,0,0,0,0,0,6,0,2,0,0,2,0,0,0,0,3],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,4,0,2,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,3,0,3,0,0,2,0,0,3,0,1,0,1,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0],[0,0,0,0,0,3,0,0,0,0,5,0,0,0,0,0,0,0,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,2,0,1,0,0,0,0,2,0,1,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,0,2],] -- [[2,0,5,0,3,0,0,0,4,0,4,0,0,1,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,1,0,1,0,0],[6,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0],[0,0,0,0,2,0,0,0,0,2,0,3,0,4,0,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[3,0,3,0,0,6,0,0,3,0,0,0,4,0,0,3,0,4,0,1],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,0,0,0,1,0,1,0,3,0,1,0,4],[0,0,0,0,0,0,0,5,0,0,1,0,2,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0],[0,0,0,0,2,0,0,0,0,0,3,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,0,0,3,0,0,0,0,0,0,3,0,0,0,1,0],[0,0,0,0,4,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0],[0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0],] -- [[1,0,2,0,1,0,2,0,3,0,0,3,0,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[5,0,0,1,0,3,0,0,2,0,3,0,0,3,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,4,0,0,4,0,1,0,0,2,0,0,0,0,1],[2,0,0,1,0,4,0,0,0,0,0,0,5,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,2],[1,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],[5,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,2,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,4,0,0],[3,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,2,0,6,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0],[3,0,0,2,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,6,0,0,0],[0,0,0,3,0,1,0,0,0,3,0,0,0,0,3,0,0,0,0,2],[0,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,1,0,0,5],[0,0,3,0,0,0,4,0,0,0,2,0,3,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,4,0,1,0,0,0,0,1,0,0,0,1,0,0,3,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,2,0,0,0,0,0,0,3,0,0,4,0,0,0,7,0,0,0,2],[0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1],[0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0],[0,0,5,0,0,0,4,0,0,0,0,2,0,3,0,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[1,0,1,0,0,0,0,3,0,0,0,0,2,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,3,0,0,0],[0,2,0,2,0,0,0,2,0,0,0,0,2,0,0,0,0,1,0,2],] -- [[1,0,1,0,3,0,2,0,0,3,0,0,3,0,0,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,0,3,0,0,0,0,2,0,2,0,0,4,0,0,0],[0,0,0,3,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1],[0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,4,0,0,0],[0,0,0,0,3,0,0,0,3,0,0,1,0,2,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,3,0,0,0,5,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,5,0,0],[2,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0],[6,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0],[0,0,3,0,0,0,2,0,0,2,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,1,0,4,0,0],[0,0,1,0,7,0,5,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1],] -- [[2,0,5,0,0,0,0,2,0,1,0,0,3,0,0,4,0,0,0,3],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,5,0,0,1,0,0,0,0,2,0,1],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,0,0,1],[1,0,0,0,3,0,0,3,0,3,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2],[0,0,4,0,0,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,3,0,0,0,0,0,4,0,0,4,0,1,0,0,0],[0,0,3,0,0,0,3,0,0,0,0,0,1,0,0,0,0,1,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,2,0,1],[1,0,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,4,0,2,0,3,0,0,2,0,1],[0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,1,0,0,0,3,0,2,0,0,1,0,0,1],[0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,0,3,0,0,0,4,0,0,0,0,4,0,0,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],] -- [[1,0,3,0,0,0,2,0,1,0,1,0,3,0,3,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,3,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,0,3,0,1,0,0,0,6,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,3,0],[3,0,0,2,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,3,0,0,2,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[1,0,0,0,0,0,1,0,0,0,0,3,0,0,0,4,0,0,0,0],[0,1,0,0,0,0,0,6,0,0,4,0,0,0,1,0,0,0,3,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,2,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[2,0,0,0,0,3,0,3,0,0,0,5,0,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,1,0,1,0,1,0,3,0,0,0,1,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,2,0,4,0,1,0,2,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1],[5,0,0,3,0,0,0,0,0,0,0,2,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,2,0,7,0,2,0,4,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[3,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,1,0,2,0,6,0,0,0,0,1,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,4,0,0,0,0],[7,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,0,3,0,0,3,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,1,0,0,0,3,0,0,0,2,0,0,2],[2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0],] -- [[3,0,6,0,0,0,2,0,0,0,4,0,0,3,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,2,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,2,0,0],[0,0,1,0,3,0,2,0,1,0,0,0,4,0,2,0,0,0,0,2],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,3,0,1,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,2,0],[4,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,0,3,0,3,0,0,0,0,0,0,3,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,1],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,1,0,0,7,0,0,0,2,0,0],[0,0,4,0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,2,0],[0,0,4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,0,0,0,3,0,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,1,0,3,0,0,0,0,0],] -- [[4,0,0,3,0,0,2,0,2,0,2,0,1,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[3,0,0,3,0,3,0,3,0,2,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,3,0],[8,0,1,0,3,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,5,0,0],[0,0,2,0,0,0,2,0,0,0,0,7,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0],[0,0,0,4,0,0,0,3,0,0,0,2,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,1,0,0,0,0,1,0,0,4,0,0,0,0,0,1,0],[2,0,0,0,0,6,0,0,1,0,3,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,4,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,2,0,9,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1],] -- 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[[0,3,0,3,0,3,0,0,3,0,2,0,1,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,3,0,1,0,3,0,3,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,3,0,0],[2,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,7,0,0,0,4,0,2,0,0,0,0,0],[0,3,0,0,0,0,4,0,0,0,2,0,0,0,0,0,2,0,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[4,0,0,2,0,4,0,0,1,0,0,5,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,6,0,0,0,0,3,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,3,0,0],[3,0,2,0,0,0,0,5,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,2,0,2],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,4,0,0,3,0,2,0,0,2,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,1,0],[0,0,0,1,0,0,0,0,4,0,0,1,0,0,0,2,0,3,0,0],[1,0,2,0,1,0,1,0,0,0,1,0,5,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,3,0,1],[0,0,3,0,0,2,0,0,0,2,0,1,0,0,6,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,1],[0,1,0,3,0,0,0,0,0,0,1,0,0,0,0,0,3,0,2,0],[0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,4,0,0,0,0,0,0,4,0,1,0,1,0,0],[2,0,2,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,6,0],[0,3,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[1,0,2,0,0,0,0,0,1,0,3,0,1,0,0,0,2,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[2,0,2,0,0,3,0,3,0,0,4,0,0,1,0,6,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1],[0,0,0,0,0,0,1,0,7,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,2,0],[0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,4,0,0,0],[3,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0],[0,0,0,2,0,2,0,1,0,0,0,0,2,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0],[2,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,2,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,2,0,0,2,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,3,0,1,0,4,0,0,3,0,0],[2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,1,0,2],[0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,1,0,0,0,0,3,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[0,0,0,0,1,0,1,0,2,0,0,3,0,0,1,0,2,0,5,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,1,0,2,0,0,1,0,3,0,0,0,0],[1,0,5,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,0,0,0,0,0,0,3,0,0,5,0,0,0,0,1,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,2,0,2],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,1,0,0,0,0,2,0,2,0,1,0,1],[3,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,2,0,0,0,0,1,0,3,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,3,0,0],[3,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,4,0,1,0,0,2,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0],[3,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,2,0,2,0,0,1,0,0],[0,0,2,0,3,0,0,0,0,5,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,2,0,2,0,0,2,0,2,0,0,4,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,6,0,2,0,0,3,0,2,0,0,1,0,1,0,6,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,4,0,0,0,0],[5,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,1,0,6,0,0,1,0,2,0,0,0,0,0],[3,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,4,0,0,6,0,0,0,0,0,2,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,2,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,3],[0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,7,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[3,0,3,0,1,0,4,0,3,0,0,1,0,3,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,2,0,1,0,2],[0,1,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0],] -- [[2,0,4,0,0,2,0,0,5,0,0,3,0,1,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,1,0,0,0,0,0,0,3,0,3,0,0,3,0],[3,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,2,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3],[0,4,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,1,0,0,2,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,9,0,0,1,0,0,0,0,3,0,0,0,1,0,2,0,0],[0,3,0,0,0,2,0,2,0,0,3,0,0,2,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,1,0,0,4,0,0,0,0,0,0,0,4,0,0,1,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[3,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,4,0,0,0,0,2,0,1,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,2,0],[2,0,2,0,2,0,2,0,0,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0],] -- [[0,3,0,3,0,2,0,0,1,0,4,0,0,2,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,2,0,2,0],[2,0,0,0,2,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0],[0,0,5,0,0,0,1,0,0,0,5,0,0,0,0,3,0,0,0,0],[3,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,8,0],[0,0,0,3,0,0,1,0,0,0,0,1,0,2,0,4,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,1,0,3,0,4,0,0,0,1,0,1,0,0],[5,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,3,0],[0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0],[0,0,0,0,0,1,0,5,0,2,0,0,0,0,4,0,0,0,0,0],[1,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,2,0,0,0,0,3,0,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0],] -- 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[[1,0,3,0,2,0,1,0,4,0,0,0,0,1,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,5,0,2,0,0,0,0,4,0,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,3,0,0,0,0,2,0],[4,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,5,0,0,2,0,0,2,0,0,0,0,1,0,1],[5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,0,0,0,0,1,0,1,0,3,0,0,0,0,1,0],[0,0,0,0,3,0,0,3,0,0,1,0,0,0,0,0,0,1,0,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0],[2,0,0,0,2,0,2,0,0,3,0,0,2,0,4,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,1,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,3,0,1,0,0,0,3,0,0,0],[2,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,3,0,0,0],] -- [[2,0,0,3,0,0,0,1,0,2,0,0,2,0,2,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,1,0,3,0,0,1,0,3,0,0,0,2,0,3,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,2],[0,1,0,0,0,0,0,0,0,0,0,0,9,0,0,1,0,0,0,0],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0],[3,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,8,0,0,0,3,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2],[0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,1,0,0,0,0],[4,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,2,0,0,0],[0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,6,0,0,1,0,1,0,4,0,0],[0,0,3,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,3,0,0,3],[0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0],] -- [[0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,3,0,2,0,1,0,0,0,3,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,3,0,0,1],[0,1,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[0,0,0,0,0,1,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,0,0,2,0,1,0,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,5,0,0,0],[0,3,0,0,3,0,0,1,0,1,0,0,0,0,0,2,0,1,0,2],[0,0,0,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,4,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,3,0,0],[0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,2,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,2,0,3,0,2,0,1,0,1,0,0,2,0,3,0,1],] -- [[1,0,1,0,1,0,2,0,1,0,3,0,1,0,3,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,3,0,0,1,0,3,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,3,0,1,0,0,1,0,2,0,0,0,0,0,0,3,0],[0,0,2,0,0,0,0,3,0,0,0,0,0,2,0,0,0,2,0,2],[3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,4,0,0,1,0,4,0,0,0],[0,0,1,0,4,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,3],[0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,2,0,1,0,3,0,5,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,8,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],] -- [[2,0,1,0,1,0,0,0,3,0,0,0,5,0,0,4,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,0,0,4,0,4,0,0,0,1,0,0,0,4,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0],[0,2,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,6,0,0,0,0,0,3,0,1,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,4,0,0],[0,0,3,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,6,0,1,0,0,0,0,0,3,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[0,3,0,0,1,0,5,0,0,0,0,2,0,0,0,0,0,0,0,4],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,2,0,0,3,0,0,6,0,0],[0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,1,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0],] -- [[0,1,0,0,2,0,0,2,0,2,0,0,0,4,0,1,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,1,0,0,0,1,0,0,0,0,2,0,0,4,0,3,0],[0,0,0,0,0,0,0,3,0,3,0,1,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,4,0,1,0,3,0,0,2],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,1,0,1,0,0,0,0,3,0,0,0,0,4],[0,0,0,0,0,0,6,0,0,0,2,0,0,0,0,2,0,0,0,0],[1,0,0,5,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,5,0,0,7,0,0,0,1,0,0,0],[2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0],[0,2,0,1,0,0,7,0,2,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[2,0,0,0,0,0,0,0,0,0,0,5,0,3,0,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,2,0,1,0,1,0,2,0,0,3,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,2,0,2,0,1,0,3,0,0,0,3,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,1,0,2,0,0,0,1,0,2,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0],[2,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,7,0,0,0,0],[0,3,0,2,0,1,0,0,4,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,1,0,5,0],[0,0,0,0,3,0,0,0,0,1,0,2,0,2,0,3,0,0,0,0],[0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0],[0,0,0,3,0,0,0,0,2,0,1,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,5,0,0,0],[0,0,1,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1],[0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1],] -- [[1,0,0,3,0,0,3,0,1,0,0,3,0,0,1,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,1,0,2,0,0,3,0,0,5,0,1,0,0,0,0,2,0,0,5],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0],[0,0,0,0,0,3,0,1,0,1,0,0,0,2,0,0,0,0,0,2],[0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,3,0,0,0,0,0,3,0,3,0,0,2,0,3,0,0,0,0,3],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1],[0,0,0,1,0,0,0,0,0,0,7,0,0,0,0,1,0,0,0,0],[2,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1],[0,0,0,0,4,0,0,0,0,3,0,0,0,10,0,0,1,0,0,0],[0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,1,0,3,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,2,0,2,0,0,2,0,0,0,0,0,3,0,0,0,1,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,1,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2],] -- [[2,0,2,0,0,6,0,0,0,1,0,3,0,3,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,3,0,0,0,0,3,0,0,0,0,1,0,3,0,1,0,3],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,2,0,2,0,2,0,0,0,0,0],[4,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0],[0,0,1,0,0,0,0,8,0,0,0,0,0,0,0,0,0,2,0,0],[0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0],[0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0],[3,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,2,0,0,0,4,0,0,0,2,0,0,1,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0],[3,0,0,1,0,1,0,2,0,0,0,1,0,2,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0],[0,0,0,0,0,1,0,0,3,0,5,0,1,0,2,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,1,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,7,0,0,0,0,0,7,0,0,0,5,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,4,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[4,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,3,0,0,0,0,3,0,0,0,3,0],[0,0,0,6,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[6,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,1,0,1,0],[0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0],[1,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],[3,0,2,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,2,0,0,1],[0,0,0,5,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,4,0,0,2,0,0,0,0,4,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,2,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[5,0,1,0,1,0,2,0,1,0,2,0,0,1,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,8,0,0,0,1,0,2,0,2,0,0,1,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[2,0,0,1,0,0,5,0,0,0,0,0,2,0,6,0,0,0,0,0],[0,0,1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2],[0,0,0,7,0,0,0,0,3,0,0,0,1,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0],[4,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,2,0,0,0,1,0,0,0],[0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,3,0,3,0,0],[4,0,0,0,0,3,0,3,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,4,0,0,2,0,0,0,0,0,0],[2,0,5,0,0,0,0,0,3,0,0,0,0,0,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,2,0,0,1,0,3,0,0,1,0,1,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,3,0,1,0,0,0,5,0,0,1,0,1,0,3,0],[0,4,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,1,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0],[3,0,1,0,0,0,1,0,5,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,3,0,0,2,0,1,0,2,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,2,0,2,0,0,0,0,4,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2],[1,0,1,0,1,0,2,0,0,0,1,0,3,0,0,2,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1],] -- [[3,0,0,0,6,0,0,0,3,0,0,2,0,2,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0],[0,0,0,2,0,0,4,0,2,0,0,0,0,1,0,0,0,0,1,0],[3,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0],[0,0,0,1,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0],[0,0,5,0,3,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,4,0],[2,0,0,0,0,3,0,0,2,0,0,1,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,1,0,0,0,0,1,0,1],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1],[0,0,2,0,3,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,3,0,6,0,0,3,0,3,0,0],[0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,2],[2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0],[0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0],] -- [[3,0,0,0,1,0,1,0,1,0,4,0,0,0,1,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,9,0,0,0,4,0,0,3,0,0,0,2,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0],[7,0,0,0,0,0,0,0,4,0,4,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0],[0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,2,0,2,0,0],[0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,1,0,0,0,0,0,11,0,1,0,3,0],[0,3,0,3,0,0,0,0,0,3,0,0,1,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,4,0],[1,0,2,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0],[0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0,1,0,1,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- [[4,0,0,0,0,3,0,1,0,1,0,2,0,4,0,4,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,4,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,6,0,0,0,3,0,3,0,0,0],[2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,2,0,0,0,0,0,2,0,4,0,0,0,3,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,4,0,0,0,1,0,3,0,0,2,0,3],[1,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,3,0,0,0,0,0,1,0,0,2,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,7,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,3,0,0,0,0,0,2,0,4,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,1,0,2],[0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,1,0,2,0,0,3,0,0,3,0,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,4,0,0,1,0,2,0,0,0,0,3,0,0,2,0,2],[0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,2,0,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,3,0,0],[6,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,4,0,3,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0],[0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,3,0,2,0,6,0,0,0,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,1,0,0],[2,0,4,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0],[0,0,0,0,0,4,0,0,0,3,0,0,0,6,0,1,0,4,0,0],[4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,1,0,0,3,0],[0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[0,0,0,3,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,2,0,1],[0,2,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,3,0,0,1,0,3,0,0,0,0,0],[0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,5],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1],[1,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,1],[1,0,0,3,0,0,0,3,0,0,0,0,4,0,0,0,0,3,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0],[0,2,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0,3],[0,0,0,0,2,0,0,0,0,1,0,0,0,3,0,1,0,0,0,0],[1,0,0,3,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,3,0,0],[0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,5,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,1,0,0,0,4,0,1,0,0,0,0,0,0,10,0,0,0,2],] -- [[3,0,4,0,0,0,0,2,0,0,2,0,0,1,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,2,0,0,1,0,3,0,2,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,3,0,4,0,0,0,0,0,3,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,2,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,3,0,2,0,0,2,0,0,1,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,1,0,0,2,0,4,0,0,0,0],[0,0,0,0,1,0,0,0,2,0,0,4,0,0,0,0,0,0,0,2],[3,0,0,0,0,0,0,11,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2],[0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0],[3,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,5,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0],] -- [[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,2,0,4,0,0,0,2,0,2,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,8,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,1],[0,0,0,0,3,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0],[2,0,0,3,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,4,0,0,0,1,0,0,0,1,0,0,1,0,1],[0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,2,0,0,0,0],[2,0,4,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,5],[0,0,7,0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0],[3,0,3,0,0,0,2,0,0,2,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,2,0,0,5,0,0,0,0,2,0,0,0,4,0,0,1,0,1],] -- [[1,0,2,0,0,2,0,0,2,0,3,0,3,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,0,0,0,0,2,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,3,0,4,0,0,0,0,0,0,0,2],[3,0,0,0,1,0,5,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,2,0,1,0,0,2,0,6,0,0,0,0,0,1,0],[1,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,2,0,1,0,0,0,0,3,0,0,0,0,0,1,0,0],[3,0,0,0,0,0,0,2,0,1,0,0,0,3,0,0,1,0,3,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,5,0,0,0,0],[0,0,3,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,3,0,0,0,4,0,1,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,1,0,0,0,0,2,0,0,0,4,0,0,0,0,3],[0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,4,0,0,0,1,0,3,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,1],] -- [[1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,5,0,0,0,0,0,0,3],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0],[2,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,1,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,2,0,1,0,5],[1,0,1,0,0,0,0,0,0,0,0,6,0,0,8,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,2,0,0,3,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,3,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,2,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,4],[0,0,4,0,0,0,0,0,0,0,1,0,0,3,0,0,0,2,0,0],[0,0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,4],[0,2,0,0,0,2,0,3,0,0,3,0,1,0,0,0,5,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,2,0,1,0,0,0,3,0,0,0,5,0,2,0,2],] -- [[0,0,0,0,3,0,0,0,2,0,0,0,0,2,0,0,4,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,2,0,0,1,0,4,0,3,0,0,2,0,2],[2,0,8,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0],[3,0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,0,1,0,2,0,3,0,0,1,0,2,0,0],[1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,2,0,0,0,0,0,0,3,0,0,1,0,0,7,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3],[0,0,3,0,0,9,0,0,3,0,2,0,0,0,1,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,1,0,1,0,0,0,0,4,0,0,2,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,1,0,3,0,0,0,2,0,0,4,0,0,5,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,2,0,0,4,0,0,0,0,0,0,0,0,2,0,0],[0,9,0,0,1,0,0,1,0,0,0,0,2,0,4,0,0,0,0,1],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,1,0],[0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2],[0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,5,0,0],[0,0,2,0,0,0,0,0,0,0,4,0,1,0,0,3,0,0,0,0],[1,0,0,0,3,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0],[4,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,3,0,0,1,0,0,2,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,3,0,0,0,0,0,0,4,0,0,0,0,2,0],[3,0,4,0,0,0,0,0,0,0,1,0,4,0,0,0,4,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2],[2,0,0,3,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,4,0,0,3],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,4,0,0,0,0,3,0,1,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,3,0,1,0,0,2,0,0,0,0,0,0,0,5,0,2,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,8,0,0,0,1,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,3,0,0,0,0,2,0,3,0,0,2,0,1],[0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,4,0,1,0,1,0,1,0,0,0],[0,2,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,3],[0,0,0,0,0,0,3,0,1,0,1,0,0,0,0,1,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,2,0,1,0,2,0,1,0,2,0,0,1,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,1,0,1,0,2,0,1,0,2,0,0,2,0,1,0,1],] -- [[1,0,3,0,0,0,2,0,2,0,0,1,0,1,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0],[0,0,0,0,0,4,0,0,0,0,2,0,4,0,0,0,3,0,0,1],[4,0,0,0,2,0,0,0,2,0,0,0,0,0,3,0,0,0,4,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,3,0,4,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,0,3],[0,0,0,0,0,0,0,2,0,0,2,0,3,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,2,0,0,0,4,0,0,3,0,0,2,0,0,0,0,2,0],[3,0,5,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,1,0,2,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,3],[0,1,0,0,0,1,0,3,0,0,0,0,2,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[2,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],] -- [[0,3,0,2,0,1,0,2,0,2,0,0,4,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,4,0,1,0,0,0,0,0,0,0,2,0],[5,0,1,0,0,0,0,0,0,0,0,5,0,0,5,0,0,3,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,2,0,0,0,1,0,2,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,3,0,0,1,0,6,0,0,0],[0,2,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,4,0,0,0,0,3,0,0,3,0,0],[0,0,2,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0],[4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0],[0,0,0,0,0,0,2,0,3,0,0,0,2,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1],[0,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,1,0,0],[0,2,0,0,0,1,0,0,3,0,0,0,0,0,0,3,0,0,3,0],[0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,1,0,3,0,0,0,2,0,3,0,0,2,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,2,0,0,3,0,1,0,0,3,0,1,0,0,2,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3],[0,1,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,2,0,0,0,0,2,0,1,0,2,0,2,0,0],[3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,2,0,3,0,1,0,1,0],[0,0,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,3],[0,3,0,4,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,1,0,2,0,1,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,4,0,0,2,0,3,0,0,3,0,0,4,0,3,0,0],[9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,2,0,0,1,0,3,0,0,2,0,0,0,0],[1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0],[0,3,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,2,0,0,0,0,3,0,0,0,3,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[0,1,0,0,0,4,0,2,0,2,0,1,0,1,0,1,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,3,0,0,0,1,0,3,0,2,0,1,0,3,0],[0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,2,0,3,0,0],[0,4,0,1,0,0,0,0,0,0,0,9,0,1,0,0,0,0,0,2],[0,0,0,0,0,2,0,0,0,4,0,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,7,0,1,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,2],[0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,3],[0,0,0,0,4,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,1,0,0,3,0,1,0,1,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,2],[0,0,3,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[1,0,1,0,2,0,1,0,2,0,3,0,0,0,4,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,2,0,0,0,0,1,0,4,0,1,0,2,0,0,0,1,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,4,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,4,0,0,0,4,0,1,0,2,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,0,3,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,4,0,2,0,0,0,0,0,0,0,0,0,1,0,1],[0,3,0,0,0,0,0,0,0,0,3,0,0,0,1,0,5,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0],[2,0,0,3,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,1],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,2,0,5,0,0,2,0,0,2,0,0,0,3,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,4,0,0,0,2,0,2,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0],] -- [[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,3,0,0,6,0,0,0,0,0,0,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,1,0,2,0,2,0,2,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[3,0,0,0,7,0,3,0,0,5,0,0,1,0,0,0,0,2,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,6,0,0,0,0],[0,0,3,0,0,0,1,0,2,0,3,0,0,0,0,0,2,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,1,0,3,0,2,0,0,3],[4,0,0,0,3,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,1,0,0,0,0],[0,0,3,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,2],[2,0,0,0,0,0,0,0,0,0,1,0,4,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1],[6,0,0,0,0,2,0,0,1,0,3,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,3,0,0,1,0,2,0,0,2,0,1,0,2,0],] -- [[4,0,1,0,4,0,0,0,2,0,0,2,0,2,0,1,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,2,0,0,3,0,0,0,2,0,0,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,4,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,2,0,0,3,0,0,0,0,0],[2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,3,0,3,0,0,0,0,0,0,3,0,2,0,0],[0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,6,0,0,0,1,0,0,2,0,0,2,0,0,4,0,0],[5,0,3,0,0,0,0,2,0,1,0,0,0,0,0,0,9,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,4,0,0,3,0,0,4,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0],] -- [[1,0,4,0,0,6,0,0,0,4,0,0,3,0,0,4,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0],[0,0,0,1,0,3,0,0,0,1,0,0,0,2,0,0,0,2,0,0],[0,0,2,0,4,0,0,0,5,0,0,0,0,0,0,2,0,0,0,0],[6,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,1,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0],[0,0,0,0,0,3,0,0,2,0,1,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],[2,0,0,0,0,2,0,2,0,2,0,0,0,2,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,4,0,3,0,0],[0,0,0,0,2,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,1,0,0,3,0,1,0,0,0,0,0],[0,4,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2],[0,0,0,0,4,0,3,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,5,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,3],[0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0],] -- [[0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,1,0,1,0,3,0,0,0,1,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,2,0,0,0,6,0,0,0,4,0,0],[0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,5,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1],[0,0,0,0,1,0,0,0,6,0,0,2,0,0,0,0,1,0,0,0],[0,0,0,4,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,6,0,0,0,2,0,1,0,0,0,0,2],[0,0,0,5,0,1,0,0,0,1,0,0,0,1,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0],[0,2,0,0,0,0,3,0,0,1,0,1,0,0,0,8,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0],[0,1,0,3,0,0,2,0,0,0,2,0,0,3,0,1,0,0,0,2],] -- [[1,0,1,0,2,0,1,0,3,0,0,2,0,2,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,2,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,3,0,2,0,0],[0,0,0,4,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,1,0,6,0,0,0,1,0,0,0,0,0,4,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,4,0,0,0,0,0,0,3,0,0,3,0,0,1,0],[1,0,2,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,2,0,0,7,0,0,0,3,0],[2,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,2,0,0,0,4,0,0,3,0,0,0,0,0,2,0],[0,2,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0],[0,0,0,0,0,1,0,3,0,0,0,1,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,1,0,5,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1],] -- [[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1],[2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[3,0,0,0,0,4,0,0,0,0,2,0,1,0,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[5,0,0,1,0,0,1,0,1,0,4,0,0,0,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,5,0,0,2,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,2,0,0,0,0,0,2,0,0,4,0,0,0],[0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,3],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,1],[0,0,7,0,4,0,0,4,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,8,0,1,0,1,0,2,0,2,0],[0,6,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,8,0,7,0,0,3,0,0,4,0,0,0,4,0,0,4],] -- [[2,0,0,2,0,4,0,0,0,3,0,0,0,2,0,2,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,4,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,3,0,1,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,4,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,0,3,0,0,1,0,1,0,0,0,0,1,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,3,0,2,0,0,3,0,0,2,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,3,0,0],[2,0,2,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,2,0,0,0,0,1,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,0],] -- [[4,0,1,0,2,0,0,2,0,0,1,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,6,0,0,0,3,0,0,2,0,3,0,0,4,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3],[0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,1,0,0,5,0,0,0,0,1,0,3,0],[0,0,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0],[2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,6,0,0,0,2,0,0,0,0,0],[0,0,4,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,5,0],[2,0,0,0,7,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0],[0,4,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,1,0,0,0,0,4,0,0,0],[0,0,1,0,2,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,0,0,2,0,0,2,0,0,1,0,2,0,4,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,3,0,0,0,1,0,2,0,0,2,0,1,0,0,0,0],[0,4,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,5,0,1,0,2,0],[0,0,0,0,0,0,4,0,1,0,1,0,3,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,2,0,6,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,4,0,0,0,2,0,0,0,0],[0,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,2,0,0,0],[3,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,3,0,0,0,3,0,0,0,0,0,1,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0],[3,0,0,0,0,1,0,0,0,1,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,2,0,4,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,3,0,0,5,0,0,0,0,2,0,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[2,0,0,0,1,0,0,4,0,0,0,2,0,0,0,0,0,2,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,2],[0,0,2,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,2,0,1,0,2,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[2,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,1,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,8,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,4,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,4,0,0,2,0,0,0,0,0,0,1,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,2,0,0,0,4,0,0,0,0,1,0,1,0,0],[0,0,3,0,0,3,0,0,3,0,0,0,0,0,4,0,2,0,6,0],[2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,1,0,2,0,0,2,0,0],] -- [[2,0,0,4,0,0,0,0,2,0,0,1,0,2,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0],[0,0,0,0,0,0,3,0,0,0,3,0,1,0,1,0,2,0,3,0],[2,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,2,0,0,2,0,3,0,0],[0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,3,0,0,1,0,0,4,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0],[4,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,2,0,3,0,0,0,5,0,2,0,0,2,0,0,0],[0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,4,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,1,0],[2,0,1,0,0,0,0,0,0,0,0,5,0,0,0,3,0,3,0,0],[0,0,0,2,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,1],[0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,3,0,0,0,1,0,1,0,3,0,3,0,2,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,6,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,2,0,0,2,0,0,1,0,0,0,0,3,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,3,0,0,1,0],[2,0,3,0,0,0,2,0,0,0,0,0,0,4,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,1,0,0,0,2],[0,4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,3,0,0,3,0,0,3,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,4,0,0,9,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,2,0],[0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,4,0,0,0,0,0,2,0,0,1,0,2],[1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0],[2,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0],] -- [[7,0,3,0,0,3,0,1,0,2,0,0,2,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,1,0,4,0],[0,0,0,0,4,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,0,3,0,0,3,0,0,4,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0],[0,0,2,0,0,1,0,3,0,0,1,0,0,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,3,0,0],[0,1,0,3,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,3,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,2,0,0,1,0,0,2,0,0,1,0,1],[0,2,0,2,0,0,0,3,0,0,0,0,2,0,0,0,2,0,0,0],[0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,3,0],[0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0],] -- [[0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],[0,0,0,0,2,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,2,0,0,2,0,0,0,2,0,1,0,2],[0,0,2,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,3,0,0,3,0,2,0,0,3,0,0],[0,0,0,0,4,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,3,0,0,0,0,0,0,0,3,0,0,0,2,0,1,0,0,0,4],[0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,3,0,0],[0,0,0,3,0,1,0,0,0,4,0,0,0,0,1,0,0,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,3,0,1,0,0,4,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,8],[0,0,0,2,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0],[1,0,1,0,0,3,0,0,0,0,2,0,0,0,0,0,3,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,2,0,3,0,0,0,3,0,0,3,0,0,2,0,2],] -- [[1,0,5,0,0,1,0,2,0,0,4,0,0,2,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,1,0,4,0,0,2,0,1,0,0,0,0,0],[0,0,8,0,1,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,3,0,1],[1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0],[1,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,5,0,0,2],[0,2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,10,0,0,1,0,1,0,1,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[8,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,8,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2],[1,0,0,0,3,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0],] -- [[2,0,0,3,0,0,1,0,2,0,1,0,1,0,3,0,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,1,0,2,0,3,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0],[5,0,1,0,3,0,0,0,4,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0],[0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,0],[2,0,0,0,1,0,2,0,1,0,0,0,1,0,0,2,0,0,0,3],[0,0,0,2,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,2,0,0,0,2,0,2,0,0,1,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0],[0,0,3,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,2,0],[3,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0],[0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,4,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[4,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,2,0,0,3],[0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0],] -- [[4,0,1,0,1,0,3,0,0,0,1,0,1,0,3,0,0,5,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,3,0,3,0,0,0,4,0,0,4,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,3,0,2,0,0,0,0,2,0,0,6,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[8,0,1,0,4,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,4,0,0],[0,0,0,3,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,2,0,3,0,0,3,0,0],[0,0,0,2,0,1,0,3,0,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,1,0,0,0,4,0,3,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,3,0,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0],[0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0],] -- 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[[2,0,0,2,0,3,0,0,0,2,0,0,1,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,2,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0],[0,0,0,1,0,3,0,7,0,0,0,3,0,0,1,0,2,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,3,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,3,0,0,3],[3,0,0,2,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,0,3,0,0,4,0,0,0,3,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,0,0,0,0,0,2,0,2,0,2,0,0,0,0,0,4,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[4,0,0,0,0,0,0,0,4,0,0,4,0,2,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0],] -- [[1,0,3,0,0,0,0,0,0,0,1,0,3,0,0,0,3,0,5,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,3,0,1,0,0,3,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,3,0,2,0,0],[3,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1],[0,0,2,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,2,0,1,0],[0,1,0,1,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,2],[0,0,0,0,2,0,0,0,0,3,0,0,2,0,0,0,0,3,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,1],[0,0,0,0,0,0,3,0,3,0,2,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,0,0,0,0,0,0,2,0,3,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,2,0,1,0,3,0,3,0,0,0,7,0,0,1,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,2],[0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,1,0,1,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[1,0,0,0,4,0,0,0,1,0,2,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,4,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,1,0,0,0,4,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,1,0,0,2,0,0,5,0,0],[3,0,4,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,1,0,0,0,3,0,0,0,0,0,3,0,0,0],[0,0,2,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,3],[3,0,0,0,1,0,2,0,0,0,3,0,0,0,3,0,0,0,1,0],[0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0],[3,0,0,1,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,2,0,5,0,0,1,0],[4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,0],[0,3,0,1,0,3,0,0,3,0,0,0,0,3,0,1,0,0,0,0],] -- [[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,2,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0],[0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0],[0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0],[0,0,1,0,0,0,0,2,0,0,3,0,1,0,0,0,1,0,0,0],[0,0,0,0,0,3,0,0,1,0,0,0,0,0,4,0,0,0,0,3],[0,3,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1],[0,0,2,0,0,4,0,0,0,3,0,1,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,3,0,0,0],[0,0,0,2,0,1,0,0,0,2,0,1,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,1,0,1,0,0,0,1,0,0,0,2,0,2,0,0,0,0,2],[0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,8],[0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0],[0,3,0,0,2,0,1,0,0,0,0,3,0,0,2,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,3,0,1,0,2,0,2,0,0,0,3,0,1,0,4,0,1],] -- [[0,0,0,0,1,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[3,0,0,0,0,0,3,0,2,0,0,0,4,0,0,4,0,0,0,0],[0,0,4,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,3,0,2],[0,0,0,0,3,0,1,0,0,0,4,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1],[2,0,0,3,0,0,0,2,0,1,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0],[0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,4],[0,0,0,0,0,0,0,2,0,0,2,0,0,6,0,0,2,0,0,0],[0,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1],[0,0,0,0,0,3,0,0,0,2,0,2,0,1,0,0,0,4,0,0],[2,0,1,0,0,0,0,3,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,2,0,0,3,0,2,0,0,2,0,1,0,0,5,0,4,0],] -- [[12,0,0,0,1,0,4,0,4,0,0,0,0,2,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,3,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,2,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1],[0,0,1,0,0,2,0,0,0,0,4,0,0,0,0,0,3,0,0,0],[3,0,0,2,0,0,0,2,0,0,0,0,9,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,4,0,0,4,0,0,0,0,0,1,0,2],[1,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[5,0,0,0,6,0,0,2,0,0,5,0,0,0,0,7,0,0,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0],[0,0,0,2,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,0,3,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,2],[0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,5,0,0],[0,1,0,0,6,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,3,0,0,0,2,0,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,3],[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1],[0,0,0,2,0,0,4,0,1,0,0,1,0,0,0,2,0,0,0,0],[1,0,0,0,0,0,0,1,0,2,0,0,4,0,0,0,0,2,0,1],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,1,0,1],[0,1,0,0,0,0,0,0,0,6,0,0,2,0,0,0,5,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2],[2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,3,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,4,0,0,0,1,0,2,0,0,0,0,0,0,3],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,1,0,2],[0,0,0,0,1,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0],] -- 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[[3,0,1,0,3,0,4,0,0,0,0,4,0,0,3,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,2,0,2,0,1,0,0,1,0,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0],[5,0,0,0,1,0,0,4,0,6,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0],[2,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0],[4,0,2,0,1,0,3,0,2,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,3,0,1,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0],[0,0,3,0,0,0,0,2,0,0,0,0,0,0,2,0,4,0,0,0],[0,0,0,0,0,2,0,0,0,5,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,0,7,0,0,0,0,0,0],[0,1,0,2,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,3,0],[3,0,1,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,2,0,0,0,0,7,0,0,0,2,0,0,0,0,0,3,0,0,4],[0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,6,0,0,0,0,0,3,0,0],[1,0,0,3,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1],[0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0],[1,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,2],[0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,6,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,3],[1,0,0,0,3,0,4,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,3,0,1,0,0,0,4,0,1,0,0,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,3,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,0,1],[0,0,0,0,0,3,0,2,0,3,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,5],[0,0,0,0,2,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,8,0,1],[1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0],] -- [[3,0,0,0,2,0,0,3,0,0,0,2,0,1,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,3,0,1,0,1,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0],[0,0,6,0,0,0,3,0,0,2,0,0,0,2,0,0,0,0,3,0],[0,0,0,1,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,1,0,0,0,0],[2,0,2,0,1,0,0,0,0,0,3,0,0,0,0,0,1,0,0,4],[0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0],[4,0,0,4,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0],[0,0,0,0,0,6,0,1,0,1,0,0,0,0,0,1,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,3,0,0,0],[3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,4,0,0,1,0,5,0,0,0,0,0,0],[0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,3,0,0],[1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,3,0,2,0,0,3,0,0,0,3,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,1,0,3,0,3,0,0,3,0,5,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,3,0,0,1,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1],[2,0,0,0,4,0,0,3,0,0,0,0,0,0,0,3,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,0,0,3,0,1],[4,0,0,0,1,0,0,4,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,7,0,0,1,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,3,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0],[2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0],[0,2,0,5,0,0,0,0,0,0,0,5,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,0,2,0,0,3,0,1,0,2,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,4,0,0,0,0,0,2,0,0,4,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0],[0,0,0,1,0,2,0,3,0,0,0,0,0,0,3,0,2,0,1,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,4,0,0,3,0,0,1,0,0,0,0,0,0,3],[0,0,0,0,0,2,0,0,0,0,0,3,0,6,0,0,3,0,0,0],[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,3,0,0,0,0,3,0,2,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,7,0,0],[0,0,2,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,2],[1,0,0,1,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0],[0,1,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,4,0],[0,4,0,0,0,0,3,0,0,5,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],] -- [[2,0,2,0,1,0,1,0,2,0,2,0,0,3,0,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,2,0,4,0,0,0,4,0,2,0,0,1,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0],[3,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,4,0,0,1,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,1,0],[8,0,0,3,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,1],[2,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0],[0,0,1,0,3,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1,0,1,0,0],[2,0,0,4,0,0,3,0,0,0,0,0,1,0,3,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[5,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,1,0,4,0,0,0,3,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[2,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,2,0,5,0],[0,2,0,6,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0],[1,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,6,0,0,0,0,0],[0,0,0,0,3,0,0,0,5,0,0,0,0,0,0,0,0,1,0,0],[0,3,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,4,0],[2,0,0,0,2,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,3,0,1,0],[1,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2],[0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,5,0,0,0,0,2,0,0,0,0],[7,0,3,0,0,0,0,0,2,0,0,0,4,0,1,0,6,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,3,0,0,1,0,2,0,2,0,0,2,0,0,4],] -- [[2,0,0,6,0,0,4,0,0,4,0,0,0,0,2,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,1,0,3,0,0,1,0,3,0,0,1],[0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0],[1,0,0,0,4,0,7,0,0,0,0,0,0,0,3,0,0,0,1,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,3],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,1,0,0],[0,0,0,1,0,1,0,3,0,0,3,0,0,1,0,0,3,0,2,0],[0,0,0,0,1,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,3,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2],[0,0,0,1,0,0,7,0,0,0,3,0,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0],[1,0,1,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,1],[0,0,0,1,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0],] -- [[2,0,0,2,0,1,0,2,0,0,1,0,2,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,1,0,3,0,2,0,0,2,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,6,0,0,2,0,0,0,1,0,2,0,0,2,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,3],[3,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,2,0,0,4,0,0,1,0,0,0,0,0,0],[1,0,3,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0],[2,0,0,0,0,0,0,1,0,2,0,3,0,3,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,3],[0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,1,0,2,0,8,0,0,0,5,0,4,0,1,0,0,6,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],] -- 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[[2,0,2,0,3,0,0,0,2,0,2,0,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,3,0,0,0,4,0,0,1,0,2,0,0,1,0,2],[3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,1,0,6,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,0,0,2,0,4,0,0,0,3,0,0,0,0,0,0,0,2,0],[2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0],[0,1,0,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,0,3],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0],[4,0,0,0,0,2,0,3,0,0,3,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0,3],[0,3,0,3,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0],[0,0,0,0,0,2,0,0,0,3,0,0,0,0,5,0,0,0,0,0],[0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,1,0],[0,0,2,0,4,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[4,0,1,0,9,0,0,0,1,0,2,0,2,0,1,0,2,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0],[0,0,0,4,0,0,0,0,0,0,2,0,6,0,0,0,4,0,0,0],[0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,2,0,0,4,0,0,0,0,1,0,0,0,0,0],[0,0,4,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0,4,0,0,3,0,0,0,0,0,1,0],[5,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,1,0,5,0,0,0,0,0],[0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1],[0,0,4,0,0,1,0,0,2,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,3,0],[2,0,2,0,2,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1],] -- [[2,0,0,3,0,0,1,0,2,0,0,1,0,1,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,4,0,0,0,1,0,0,0,0,1,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,4,0,0,0,0],[2,0,3,0,4,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0],[0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,3,0,1],[0,0,0,1,0,0,4,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,2,0,1,0,0,0,1,0,1,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,2,0,1,0],[0,0,0,3,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,1],[0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,0],[0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,3],[0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,0,0,3,0,0,2,0,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,2,0,0,0,1,0,6,0,1,0,1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0],[2,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,0,4,0,0,0,0,2,0,3,0,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,8,0,0,1,0,1,0,0,2,0,1,0,2,0,0,0,0],[0,0,7,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,3,0,0],[0,3,0,0,0,0,0,13,0,0,1,0,0,0,3,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,3,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0],[4,0,0,0,0,0,0,0,1,0,0,2,0,0,0,3,0,0,0,0],[0,0,0,1,0,2,0,0,0,2,0,0,0,2,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0],[0,0,2,0,3,0,4,0,0,0,0,0,0,0,1,0,1,0,3,0],[3,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,5,0,0,0,0],[0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[6,0,2,0,0,2,0,2,0,0,2,0,0,2,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,2,0,0,2,0,0,2,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,2],[3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,4,0,5,0,0,0,2,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0],[0,3,0,0,3,0,4,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,2,0,3,0,0,5,0,0,1,0,1],[0,3,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,2,0,0,1,0,0,0,1,0,2,0,6,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,0,5,0,4,0,0,0,0,0,1,0,1,0,0,0,2,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2],[0,0,0,0,0,0,1,0,2,0,0,2,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],] -- 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[[1,0,1,0,2,0,4,0,0,4,0,0,0,2,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,0,0,0,2,0,0,0,0,0,3,0,2,0,0,1],[0,0,0,4,0,4,0,1,0,0,1,0,2,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0],[0,0,0,0,0,2,0,5,0,0,0,0,0,0,0,5,0,0,1,0],[3,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2],[0,0,0,1,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0],[3,0,0,0,0,0,0,3,0,0,0,1,0,2,0,2,0,0,3,0],[0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0],[2,0,2,0,5,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,3,0,0],[7,0,0,0,1,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[1,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,1,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0],] -- 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[[0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,2,0,0,3,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0],[0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,2,0,0,1,0,2,0,0,3,0,3,0,0,0,0],[0,3,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,2,0,0,0,0],[0,0,3,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,7],[0,0,0,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0],[0,1,0,0,0,0,4,0,2,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,3,0,0,0,0,0,0,2,0,1],[0,0,3,0,0,0,0,2,0,0,0,0,3,0,1,0,1,0,0,0],[0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0],[0,0,1,0,3,0,1,0,0,0,0,2,0,2,0,1,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,1,0,0,3,0,1,0,2,0,0,2,0,1],] -- [[2,0,0,1,0,3,0,3,0,2,0,2,0,2,0,0,1,0,5,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,3,0,2,0,1,0,0,0],[0,0,0,0,4,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,2,0,0,2,0,0,3,0,5,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,3,0,2,0,0,0,1,0,1,0,2,0,0,0,0,0],[6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,4,0,0,1,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,2,0,0,0,0,0,0,4,0,0,3,0,0,0,1,0],[0,0,0,0,0,0,3,0,0,0,5,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,3,0,0],[1,0,7,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,1,0,3],[3,0,0,0,0,0,0,0,0,0,0,1,0,2,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,3,0,0,0,1,0,3,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,2,0,2,0,0,7,0,3,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0],[0,4,0,0,0,1,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[4,0,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0,3,0,3,0,0,0,0,0,2,0,1,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0],[3,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,1,0,0,0,3,0,1,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,1,0],[3,0,0,11,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,2],[0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,9,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0],[2,0,0,0,0,4,0,0,0,2,0,0,3,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0],[1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,5,0,0,0,1,0,0,6,0,0,0,1],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0],[1,0,2,0,0,0,8,0,1,0,1,0,0,0,0,3,0,0,1,0],[0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0],[4,0,0,0,1,0,5,0,0,0,0,0,0,2,0,0,2,0,0,2],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[6,0,0,0,6,0,0,0,0,0,2,0,0,3,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0],[6,0,0,0,0,1,0,2,0,0,0,3,0,0,0,3,0,0,0,0],] -- [[1,0,2,0,3,0,0,0,4,0,1,0,1,0,2,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,3,0,3,0,0,0,0,0,3,0,3,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,6,0,0,1,0,0,0,0,4,0,0,1,0,0,2,0,0,0],[6,0,0,0,0,0,0,4,0,3,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0],[0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[2,0,3,0,0,0,0,0,0,3,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,4,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,2],[0,0,0,0,0,0,3,0,0,3,0,0,0,1,0,0,4,0,0,0],[2,0,4,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0],[0,0,0,0,0,3,0,0,4,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- 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[[2,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1],[0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,3,0,0,0,0],[2,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,1,0,0,0,3,0,0,3,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,3,0,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0],[0,0,0,3,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,1,0,3,0,0,3,0,3,0,0,0],[3,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,2,0,1,0,0,0,0,4,0,0,0,0,0,3,0,3,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,3,0,2],[0,0,0,0,0,0,1,0,0,0,2,0,0,4,0,0,0,0,0,0],[1,0,1,0,0,0,0,3,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,2,0,3,0,0,0,0,0,0,3,0,0,0,2],] -- [[2,0,0,3,0,0,2,0,1,0,2,0,0,1,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,2,0,0,1,0,0,0,2,0,0,3,0,4],[0,0,0,1,0,2,0,0,0,4,0,3,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0],[0,0,3,0,3,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[2,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,4,0,0],[0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,4,0,0,0,2,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,5,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,1],[0,0,2,0,2,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0],[0,0,0,2,0,3,0,0,0,0,1,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0],[2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[0,1,0,0,2,0,0,0,3,0,3,0,1,0,0,0,6,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,5,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,4,0,0,2,0,1],[0,0,0,1,0,0,0,0,0,0,6,0,3,0,0,0,0,0,3,0],[0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,8,0,1,0,0,3],[0,0,0,0,0,5,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0],[0,2,0,0,0,0,0,3,0,2,0,1,0,0,0,0,0,0,0,5],[0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0],[0,1,0,0,0,0,3,0,0,0,2,0,1,0,0,0,0,1,0,0],[0,0,1,0,3,0,0,0,5,0,0,0,0,3,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0],[0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2],] -- [[2,0,0,5,0,1,0,4,0,0,4,0,0,3,0,2,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,4,0,1,0],[0,0,0,0,0,0,0,0,2,0,2,0,3,0,2,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[2,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,5,0,0,3,0,0,0,0,0,2,0,1,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,5,0,0,0,2,0,0,1,0,2,0,2,0,0,0,3,0],[0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,1,0,2],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,2,0],[3,0,0,0,1,0,2,0,5,0,0,3,0,0,6,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0],[0,2,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,2,0,2,0,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],] -- [[1,0,5,0,3,0,0,1,0,1,0,1,0,1,0,2,0,2,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,3,0,0,0,2,0,3,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,2,0,0,0,0,0,3,0,0,0,2,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0],[0,0,0,0,0,0,0,2,0,4,0,0,0,0,1,0,4,0,0,0],[2,0,1,0,3,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,1,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0],[0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,6,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,3,0,0,0,1,0,3,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,1,0,0],[0,0,0,2,0,0,3,0,0,2,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[2,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1],] -- [[4,0,1,0,1,0,2,0,0,1,0,3,0,0,0,1,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,2,0,0,6,0,0,2,0,2,0,3,0,0,0,0],[0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,1,0,0,0,0,0,3,0,3,0,0,2,0,2],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,4,0,0,0,2,0,0,0,0,2,0,0,1,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1],[3,0,0,0,0,4,0,4,0,2,0,0,2,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0],[0,0,3,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[4,0,0,0,2,0,0,0,0,0,0,0,0,0,4,0,2,0,3,0],[0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,4,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,1,0],[0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,4,0,0,2,0,4,0,0,1,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,4,0,0,0,0,3,0,0,0,4,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,1,0,0,0,0,2,0,2,0,0,4,0,0,0,0],[0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,3,0,6,0,0,0,3,0,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0],[0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0],[1,0,2,0,1,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0],[1,0,0,6,0,6,0,0,0,0,0,0,5,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,5,0,0,2,0,0,0,0,1,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,4,0,0,0,4,0,0,1,0],[5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0],] -- 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[[3,0,2,0,2,0,0,4,0,5,0,0,2,0,0,2,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,2],[0,2,0,1,0,1,0,0,0,0,0,0,0,4,0,0,0,2,0,0],[0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,0,4,0,0,5],[0,0,2,0,0,1,0,7,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,7],[0,1,0,1,0,0,0,0,4,0,0,0,0,0,2,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,4,0,0,3,0,0,0,0,0,0,0,3,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,4],[0,0,1,0,1,0,0,0,0,1,0,0,9,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,3,0,0,0,0,0,0,0,1,0,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0],] -- [[2,0,0,2,0,2,0,3,0,1,0,3,0,0,2,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,6,0,0,1,0],[0,0,0,2,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,0,0,4,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,3],[2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,2,0,2,0,0,0,2,0,0,0,0,3,0,0],[3,0,0,0,7,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,3,0,0,0,4,0,0,0,0,0,1,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,8,0,0,0],[8,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,2,0,3,0,1,0,4,0,0,0,0,0,0],[1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,2],[3,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,1,0,2,0,0,3,0,0,3,0,0,1,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,1,0,0,3,0,0,5,0,1,0,0],[0,5,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,1,0,0,2,0,4,0,0,0,0,0,0,0,1,0,0,2,0],[5,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,2,0,0,3,0,0,2,0,0,3,0,0,0,0],[0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,6,0],[0,0,1,0,0,3,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[3,0,0,9,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[6,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,0],[0,0,0,2,0,0,0,0,2,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,1,0,0,2,0,1,0,0,2,0,0,0,4,0,0,0],[0,0,3,0,0,2,0,0,0,0,2,0,0,0,2,0,0,0,1,0],[1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[3,0,1,0,4,0,2,0,0,1,0,3,0,0,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,2,0,4,0,3,0,0,3,0,2,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,1,0,0,0,0,1,0,4,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0],[1,0,3,0,0,0,2,0,1,0,3,0,2,0,0,0,0,1,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,3,0,2,0,0,0,0,0,1,0,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[3,0,1,0,0,0,0,3,0,0,4,0,0,3,0,5,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,1],[2,0,0,2,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,2,0,1,0],[1,0,3,0,2,0,0,0,1,0,2,0,0,0,4,0,0,0,0,3],[0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,2,0,0],[1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[4,0,2,0,0,1,0,1,0,3,0,1,0,1,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,3,0,1,0,0,0,2,0,1,0,2,0,1,0,0],[0,0,5,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0],[2,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,5,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,0,0],[0,2,0,0,0,0,2,0,4,0,0,1,0,0,0,0,0,0,0,3],[0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0],[0,3,0,0,0,0,3,0,0,0,0,0,0,1,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,3,0,2,0,1,0,3,0,0,0,0,0],[1,0,2,0,3,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,1,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,3,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,4,0],[3,0,0,0,0,0,0,4,0,0,0,8,0,0,1,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,0,0,3,0,3,0,0,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[2,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,2,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,3,0,4,0,0,0,0,3,0,0,0,2,0,0,1],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,1,0,3,0,0,0,2,0,2,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,1,0,0,0,0,4,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[3,0,0,0,0,7,0,0,0,4,0,2,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,1,0,0,0,0,0,3,0,0,1,0,2,0],[0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,2,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0],[1,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,3,0,1,0,0],[2,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,2,0,2,0,0,6,0,0,3,0,0,1,0,1,0],] -- [[1,0,1,0,4,0,0,2,0,4,0,2,0,0,2,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0,0,0,0,7,0,0,3,0,3,0,0],[0,0,0,0,0,1,0,2,0,0,0,4,0,0,0,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[3,0,0,0,0,2,0,0,2,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,2,0,1],[0,0,0,0,3,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[2,0,0,4,0,0,5,0,0,0,0,0,0,0,1,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,3,0,0,2,0,3,0,3,0,0,0,3,0,0,0],[3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,3,0,3,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[3,0,2,0,0,1,0,1,0,4,0,0,4,0,0,3,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,1,0,0,0,0,0,0,2,0,0,5,0,2,0,0,0,0,0,1],[0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0],[4,0,0,0,0,0,2,0,4,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,4,0,0,0,3,0,0,1,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,4,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,1],[0,0,3,0,0,1,0,2,0,1,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0],[0,2,0,0,0,0,2,0,3,0,0,0,4,0,2,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,3,0,0,0,0,2,0,0,0,0,0],[2,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,3,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0],] -- 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[[1,0,2,0,4,0,1,0,1,0,2,0,0,2,0,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,2,0,2,0,0,3,0,3,0,0,0,0,2,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,2,0,2,0,0,0,0,4,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,3],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,1,0,3,0,0,2,0,0,0,2,0,4,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0],[5,0,0,0,2,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,2,0,1,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,0,3,0,0],[0,0,1,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,0,1,0,0,0,0,0,6,0,0,0,0,0,1,0],[0,0,1,0,6,0,0,0,0,0,6,0,0,0,0,4,0,0,0,5],[0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,3,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,2,0,3,0,0,1,0,4,0,0,3,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,4,0,1,0,1,0,0,3,0,1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,4,0,0,1,0,0,1,0,0],[0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,0,0,1,0,0,0,0,0,3,0,0,8,0,0],[2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,2,0,2,0,0,2,0,0,0,0,0,3],[0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,3,0,0,3,0,0,1,0,0,1,0,2,0],[1,0,3,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0],[0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,3,0,2,0,0],[1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[1,0,2,0,0,2,0,3,0,0,0,0,0,0,0,0,3,0,4,0],[0,3,0,0,0,0,0,0,0,2,0,0,2,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0],] -- [[1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,2,0,0,0,0,0,5,0,0,2,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,3,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,3,0,0,0,0,0,1,0,3],[0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,3,0,0,0,0],[0,0,0,2,0,3,0,0,1,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,2,0,0,3,0,0,3,0,0,0,0,2,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,6,0,0,0,8],[0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0],[3,0,2,0,1,0,2,0,1,0,0,0,0,0,0,0,0,3,0,1],[0,1,0,0,0,0,0,1,0,0,0,3,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,2,0,0,0,0,0,0,0,2,0,0,3,0,2,0,0,1,0,5],[0,0,0,2,0,0,0,0,3,0,0,2,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,4,0,0,2,0,0,0,3,0,1,0,2,0,0,4],] -- [[0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,0,0,0,1],[2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,7,0,1,0,0],[3,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,3,0,4,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1],[0,0,0,0,0,0,6,0,2,0,3,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,3,0,0,4,0,0,3,0,0,0,0],[2,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,1,0,0],[1,0,3,0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,2,0,1,0,2,0,0,3,0,1,0,1,0,1,0,1],] -- 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[[1,0,1,0,3,0,0,0,2,0,0,1,0,2,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,2,0,4,0,3,0,1,0,2,0,1,0,2,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,1,0,4,0,4,0,0,0,0],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,4,0],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0],[4,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0],[0,0,0,0,0,1,0,0,2,0,1,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,2,0,3,0,0,0,0,0,0],[2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,6,0,0,0],[0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0],[0,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,1,0,3,0,0,2,0,0,0,2,0,0],[1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3],[0,3,0,0,0,0,0,0,0,2,0,3,0,0,3,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,0,0,1,0,0,0,0,0],] -- 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[[0,2,0,1,0,3,0,1,0,2,0,1,0,2,0,3,0,1,0,5],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,3,0,4,0,2],[0,7,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,3,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,1,0,4,0,2],[0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0],[3,0,1,0,1,0,0,3,0,0,0,0,0,0,3,0,0,0,0,3],[0,0,0,1,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,3,0,0],[0,0,0,3,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0],[0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[2,0,0,0,0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,4,0,2,0,0],[0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1],[0,1,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,3],] -- [[1,0,1,0,1,0,3,0,1,0,4,0,0,1,0,1,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,3,0,0,0,0,3,0,0,0,0,2,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,3,0,0,0,2,0,0,0,3,0,3,0,0,0],[1,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,3],[0,3,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,4,0,0,0,0,4,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,1,0,0,0,3,0,0,3,0,0,0,0,0,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0],[4,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[4,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,3,0,3,0],[0,0,0,0,0,3,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,3,0,0,0,4,0,1,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,4,0,0,0,2],[0,3,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,1,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,3,0,3,0,0],[3,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,4,0,0,0,2,0,0,0,8,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,3,0,0,0,0],[0,0,2,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,2,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1],[0,0,0,1,0,0,3,0,0,0,0,0,2,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,0],[0,3,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,3,0,2,0,0,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,7],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0],[0,4,0,0,3,0,2,0,0,5,0,2,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,1,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,3,0,1,0,0,2,0,0,2,0,1,0,0,0,4],] -- [[1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,4,0,0,4,0,3,0,3,0,4],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,0,0,0,0,0],[3,0,0,0,0,0,0,2,0,2,0,0,0,1,0,0,0,3,0,2],[0,0,0,4,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0],[0,3,0,1,0,0,5,0,0,0,0,1,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,2],[0,0,0,0,0,3,0,2,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,3,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,2,0,0,0,0,0,0,0,0,3,0,2,0,1,0,0,0],[0,0,0,0,0,2,0,0,6,0,2,0,0,0,0,0,0,0,0,2],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[4,0,0,0,2,0,0,0,0,1,0,2,0,0,3,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,2,0,1,0,2,0,0,0,3,0,0,2,0,4],] -- 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[[3,0,1,0,4,0,2,0,1,0,3,0,1,0,5,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,3,0,0,0,0,1,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,3,0,5,0,0,0,0,0,0],[3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,1,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,3,0],[0,2,0,0,0,1,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,7,0,0,0,0,0,1,0,0,0,4,0,2,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0],[2,0,3,0,4,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[2,0,2,0,0,2,0,1,0,2,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,2,0,0,3,0,1,0,1,0,2,0,2,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0],[3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[0,3,0,3,0,3,0,3,0,0,1,0,3,0,4,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,1,0,4,0],[5,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,1,0,3,0,0,2,0,0,0,0],[0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,3,0,0,1,0,4,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,1,0],[1,0,3,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0],[1,0,8,0,0,0,0,3,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,12,0,0,0,0,0,0,0,4,0,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,2,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,1,0,2,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],] -- [[2,0,0,2,0,1,0,2,0,0,1,0,2,0,3,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,1,0,1,0,2,0,2,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0],[4,0,0,0,4,0,0,2,0,2,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,4],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,7,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0],[0,1,0,1,0,0,0,1,0,0,0,0,0,0,3,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,1,0],[2,0,0,1,0,0,0,0,5,0,0,0,1,0,0,0,0,2,0,0],[0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2],[7,0,0,0,0,4,0,0,0,0,0,2,0,1,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,1,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,3,0,0,0,0],[0,0,0,0,2,0,1,0,0,0,0,3,0,0,3,0,0,0,2,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,2,0,0,0],] -- [[2,0,2,0,2,0,0,4,0,0,3,0,2,0,3,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0],[2,0,3,0,0,0,0,1,0,1,0,1,0,1,0,4,0,0,0,0],[0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1],[3,0,0,0,0,0,0,0,0,0,3,0,1,0,1,0,0,5,0,0],[0,0,0,6,0,1,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,5,0,0,0,0,0,2,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,0,3,0,0,0,0,0,3,0,2],[1,0,0,0,0,0,0,0,6,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,3,0,0,0,0,0,0,0,1,0,2,0,0,0,5,0,1,0],[0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,4,0,5,0,0,0,0,0,2],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],] -- [[0,3,0,4,0,3,0,0,1,0,1,0,1,0,3,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,1,0,2,0,0,0,0,0,2,0],[2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,3,0,0,3,0,0,0,6,0,4,0,0,2,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,1,0,0,0,3,0,0,2,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,4,0,0,0,0,0,1,0,1,0,0,3,0,1,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,2,0],[0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[2,0,0,0,1,0,4,0,0,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0],[0,1,0,0,0,1,0,0,0,0,2,0,0,3,0,0,0,1,0,0],[0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,2,0,2,0],[8,0,2,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,0,0,1,0,0,0,4,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,4,0,0,0],[0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,1,0,0,0,2,0,0,3,0,0,1,0,0],[0,0,0,0,4,0,0,0,6,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,4,0,0,0,1,0,0,0,0,1,0,2,0,3,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,6,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,5,0,0,4,0,0,0,0,0,0,1,0,0,0],[4,0,0,2,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,3],[0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,6,0,0,0,4,0,0,4,0,0,0,0,3,0,0,0],[2,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,1,0,1,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0],[1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,1],] -- [[1,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,1,0,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,3],[0,1,0,0,0,0,2,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,2,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,5,0,0,1,0,0,0,3,0,0,0,4,0,0,0],[3,0,2,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,1,0,0,0,0,3,0,2,0,0,2,0,0,0,0],[0,0,0,0,0,0,1,0,7,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,2,0,0,0,0,0,0,0,2,0,0,3,0,1,0,0,3],[0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,1,0,0,0,0,0,3,0,1,0,0,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2],[2,0,1,0,0,3,0,0,3,0,2,0,2,0,0,2,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,5,0,0,3,0,0,2,0,1,0,0,2,0,0,4],] -- 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[[2,0,7,0,1,0,5,0,0,2,0,3,0,0,3,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[3,0,0,0,0,0,0,0,3,0,2,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,3,0,2,0,2,0,0,0],[0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,3,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,0,0,3,0,7,0,0,0,0,2,0,2,0,0,0,0,1,0],[5,0,4,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,4,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,0,0,0],[0,0,3,0,0,0,3,0,0,3,0,0,3,0,0,0,0,0,1,0],[7,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0],[0,0,0,0,2,0,0,3,0,0,0,2,0,1,0,4,0,3,0,0],[0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,1,0],[1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,1],] -- 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[[4,0,0,0,2,0,0,4,0,8,0,0,1,0,4,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,2,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,6,0,0,0,0,0,1,0,0,1,0,3],[2,0,0,0,0,0,0,0,0,0,3,0,0,2,0,1,0,0,0,0],[0,0,1,0,2,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,3,0,1,0,6,0,3,0,0],[0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,1,0],[0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,3,0],[3,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,1,0,0,3,0,0,1,0,1,0,0,0,1,0,1,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,4,0,0,0,0],[0,1,0,0,0,1,0,1,0,4,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[3,0,1,0,2,0,1,0,1,0,0,0,0,0,0,2,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[1,0,4,0,0,1,0,4,0,0,3,0,0,0,2,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,3,0,0,1,0,1,0,1,0,1,0,2,0,2],[0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,5,0,0,3,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,4,0],[2,0,0,3,0,0,3,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,3,0,0],[3,0,1,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,3,0,1,0,3,0,0,0,0,0,6,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0],[1,0,6,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0],[0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,4,0,0,0,0,0,2,0,0],[2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,2],[0,0,1,0,1,0,1,0,0,0,0,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,0,1,0,3,0,6,0,0,0,1,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,2,0,1,0],[0,0,2,0,0,0,0,0,3,0,4,0,0,1,0,0,0,0,0,1],[1,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3],[3,0,10,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,5,0,3,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,1],[3,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1],[0,0,2,0,0,0,1,0,3,0,0,2,0,1,0,0,4,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2],[0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,3,0,0,0,3,0,0,2,0,1,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,2,0,3,0,0,0,0,4,0],[0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,2,0,0],[1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0],] -- 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[[3,0,0,0,0,0,3,0,0,0,0,0,0,1,0,5,0,0,2,0],[0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,5,0,0,0,0,0,0,0,3,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0],[0,0,1,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,3,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,1,0,0,6,0,0,0,0,0,2,0,0,0,1,0,0,0,0],[2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,1,0,0,1,0,0,0,0,0,5,0,0,0,0,0,0,1,0],[2,0,0,1,0,0,0,3,0,0,0,0,0,0,1,0,1,0,0,4],[0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,3,0,1,0,0],[0,0,0,2,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,2,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[3,0,0,0,0,3,0,3,0,3,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,1,0,0,0],[2,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0],] -- 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[[1,0,3,0,2,0,0,3,0,0,1,0,2,0,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,1,0,0,3,0,2,0,0,0,2,0,2,0,3,0,1],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,4,0,0,1,0,0,0,3,0,0,2,0,1,0],[2,0,2,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,4,0,5,0,0],[0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,0,0,0],[1,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,3,0,0],[3,0,1,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,1,0,0,0,1,0,4,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,1,0,2,0,2,0,0,9,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,2,0,3,0,0,0,0,0,0,4,0],[0,2,0,3,0,0,4,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,1,0,1,0,1,0,1,0,1,0,5,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,3,0,3,0,0,3,0,0,0,0,3,0,1],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2],[2,0,0,1,0,0,3,0,0,3,0,0,0,0,0,0,1,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,1,0,3,0,0],[0,0,0,0,0,0,4,0,0,2,0,3,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,2,0,0,4,0,0,0,0,1,0,0,3,0,0,0,1,0,0],[0,2,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,6,0],[0,0,0,3,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0],[4,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,4],[2,0,3,0,0,0,3,0,0,0,1,0,3,0,4,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,3,0,0,0],[0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,2,0,2,0,0,1,0,4,0,1,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,1,0,2],[0,0,1,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,1,0,0,3,0,0,0,4,0,0,0],[0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,4],[2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,3,0,1,0,1,0,4,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,1,0,0,0,0,3,0,0,0,1,0,4,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,3,0,2,0,3,0,0,0,0,0],[2,0,3,0,3,0,0,5,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,3,0,0,0,0,0,0,2,0,0,1,0,2,0,1,0,0,0,0],[0,0,0,3,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0],[1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,7,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0],] -- [[1,0,3,0,0,3,0,1,0,2,0,6,0,3,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,2,0,0,0,0,0,0,2,0,5,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,1,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,5,0,0,0,0,3,0,0,4,0],[0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,2,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2],[0,0,0,0,0,2,0,3,0,0,0,2,0,0,1,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,2,0,0,0,2,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,2,0,0,0,4,0,0,0,0,0],[0,0,0,0,3,0,0,3,0,0,0,0,4,0,0,0,3,0,0,0],[0,0,7,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,6,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,0,2,0,0,6,0,1,0,2,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,5,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[3,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,1,0,0,4,0,0,2,0,0,0],[0,0,2,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,3,0,0,1,0,0,0,3,0,0,4,0,1],[0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,0,0,1,0,0,0,1,0,1,0,0,0,0],[0,0,0,2,0,0,0,3,0,0,1,0,2,0,3,0,3,0,1,0],[2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0],[8,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0],[0,0,0,0,0,2,0,0,8,0,0,0,0,2,0,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,3,0,0,0,0,3],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- 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[[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,3,0,0],[0,2,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,2,0,2,0,0,0,0,2,0,3,0,0,3,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[4,0,0,0,0,2,0,3,0,0,2,0,0,0,0,0,0,0,1,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,1,0,3,0,0,0,6,0,0,0,3,0,0],[1,0,0,1,0,0,3,0,0,0,0,0,4,0,0,0,0,0,0,4],[0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,4,0,1],[0,1,0,2,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3],[0,3,0,0,0,0,0,0,0,0,0,0,6,0,0,1,0,0,0,0],[0,0,0,2,0,0,0,4,0,0,3,0,0,0,2,0,1,0,0,0],[0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,4,0,0,0,0,4,0,1,0,2,0,0,3,0,1,0,1],] -- [[0,3,0,2,0,1,0,1,0,2,0,0,3,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,4,0,0,3,0,4,0,0,3,0,2,0],[3,0,1,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,1,0,4,0,0,0,0,0,4,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[7,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0],[5,0,0,0,0,3,0,3,0,0,1,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0],[1,0,0,0,0,0,0,0,0,8,0,0,2,0,0,1,0,0,3,0],[0,0,0,3,0,0,0,2,0,0,0,0,0,0,2,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,1,0,3,0,1,0,3,0,0,0,0,0,0,0,0,1,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,3,0,0],[0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[2,0,1,0,2,0,1,0,7,0,3,0,0,4,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,1,0,0],[2,0,5,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,5,0,0,0,2,0,1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,3,0],[3,0,0,0,0,0,0,0,3,0,0,3,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,1,0,0,6,0,1,0,4,0,0,2],[4,0,0,0,3,0,0,0,3,0,3,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,1,0,2,0,0,0,0,5,0,0,3,0,0],[0,5,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0],[1,0,0,0,0,2,0,3,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,2,0],] -- [[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,5,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,6,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,5,0,0,3,0,1,0,2,0,0,0,0,0],[4,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,1,0,0],[0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,3],[0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,6,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,1],[0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0],[0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,2,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[0,3,0,0,0,0,0,7,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,3,0,1,0,0,0,2,0,0,3,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,2,0,1,0,1,0,2,0,0,3,0,1,0,0,3,0,1],] -- [[0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,5,0,1,0,3],[0,4,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,4,0,0,0,0,0,2,0,0,0,5],[3,0,0,3,0,0,1,0,0,0,0,3,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,6],[1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,6,0,0,3,0,3,0,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,3],[0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7],[0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0],[0,2,0,0,2,0,4,0,0,4,0,1,0,0,3,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,0,0,0,3,0,2,0,0,2,0,1,0,2],] -- [[4,0,0,1,0,1,0,1,0,6,0,0,0,2,0,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,4,0,0,0,0,0,0,2,0,0,1,0,3,0,0],[5,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,3,0,0,0,0,0,0,4,0,0,1,0],[0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0],[0,0,0,0,4,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,4,0,0,3,0,0,0,0,0,0,3,0,0,1,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,2,0,6,0,0,0,2,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,3,0,0,0,1,0,0,0,0,2,0,0,0,0,0,3],[6,0,0,0,0,0,0,2,0,1,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0],[3,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,2,0],] -- 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[[2,0,2,0,1,0,3,0,0,0,2,0,0,2,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,2,0,2,0,0,1,0,1,0,0,0,0,0],[2,0,0,0,6,0,0,0,0,0,0,1,0,2,0,4,0,0,3,0],[0,0,1,0,0,0,1,0,1,0,4,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,2,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1],[5,0,0,0,0,0,3,0,0,0,0,4,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0],[1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,2,0,4,0],[0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0],[0,0,2,0,0,3,0,0,1,0,0,0,0,9,0,0,1,0,0,0],[1,0,0,0,4,0,0,0,0,6,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,2,0,2,0,2,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[4,0,0,1,0,3,0,0,0,3,0,0,2,0,2,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,3,0,0,3,0,0,0,0,0,4,0,0,0,0,1,0],[1,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0],[0,2,0,0,0,0,3,0,1,0,0,0,0,1,0,2,0,0,0,3],[0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,3,0,0,0,2,0,3,0,0,0],[3,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,1,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,7,0,0,0,0,0,0,0,4,0,0,0,1,0,0,3,0,0],[2,0,0,0,1,0,0,3,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2],[1,0,1,0,2,0,0,3,0,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,2,0],[3,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,3,0,0],[1,0,5,0,0,1,0,0,0,3,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[4,0,0,0,1,0,2,0,3,0,0,2,0,2,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,4,0,3,0,0,7,0,0,2,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0],[2,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,4,0,0,0,8,0,0,0,0,0,0,1],[0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],[0,0,0,5,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,3,0,0,1,0,1,0,0,0,0,4,0,0,1],[0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,0,0,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,1,0,0,0,2,0,0,0,2,0,0,2,0,0,1,0],[0,0,5,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0],[2,0,0,0,0,3,0,0,3,0,0,2,0,0,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],[2,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,6,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,2],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,7,0,7,0,0,0,3,0,2,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,2,0,2,0,0,0,2,0,0,0,4],[0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,4,0,0,0,0],[2,0,6,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0],[0,3,0,2,0,0,0,0,6,0,0,4,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,2,0,2,0,1,0,0,0,2,0,1,0,0,4,0,2,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,3,0,2,0,1,0,0,0,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,3,0,1,0,0,4,0,0,0,3,0,1,0,0,4],] -- [[2,0,0,4,0,0,4,0,1,0,3,0,3,0,0,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,1,0,0,0,3,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,2,0,0,0,1,0,4,0,0,0,2,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2],[1,0,2,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0],[1,0,0,0,0,1,0,10,0,0,0,0,0,3,0,0,0,0,0,4],[0,2,0,0,1,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[1,0,3,0,3,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,0,0,0],[7,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,5,0,0,0],[0,0,0,2,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,2,0,0,0,1,0],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],] -- 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[[1,0,1,0,1,0,2,0,4,0,0,0,2,0,3,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2],[0,0,0,0,0,0,2,0,2,0,0,3,0,0,0,1,0,0,0,0],[9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,3,0,1,0,2,0,0,4,0,0,4,0,1],[3,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,0,0,0],[0,3,0,0,5,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,7,0,0,0,2,0,0,0,0,2,0,0,0,0,1],[3,0,3,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,6,0,0,0,0,0,1,0,1,0,5,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0],[0,0,1,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0],[0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0],] -- [[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,0,0,0,0],[2,0,1,0,3,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0],[0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,0,0,1,0,0,0,3,0,0,0,5,0,0,3],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0],[4,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0],[7,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,3,0],[0,0,0,3,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,1,0,2,0,0,0],[1,0,2,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0],[0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0],[5,0,0,0,1,0,4,0,0,1,0,0,0,0,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[2,0,0,2,0,4,0,0,0,2,0,0,0,0,3,0,0,0,3,0],] -- [[1,0,3,0,0,2,0,2,0,2,0,0,1,0,2,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0],[0,0,0,3,0,0,0,3,0,0,0,3,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0],[0,0,4,0,1,0,2,0,0,0,2,0,0,0,0,0,2,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0],[0,0,0,0,4,0,0,3,0,0,3,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0],[3,0,0,1,0,5,0,0,1,0,0,0,0,0,1,0,3,0,1,0],[0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,2,0,0,8,0,0,0,0,2,0],[0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,2,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,4,0,0,0,0,1,0,2,0,0,0,0,0,0],[7,0,0,0,0,0,0,0,0,0,2,0,0,0,0,6,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,1,0,3,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,0,1,0,1,0,4,0,1,0,1,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,2,0,0,4,0,0,0,0,1,0,1,0,0,0,2,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,4,0,0,0,1,0,0,0],[0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,2,0,2,0,2],[3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2],[0,0,0,0,0,3,0,0,3,0,0,0,0,0,1,0,1,0,0,0],[3,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0],[0,0,0,0,3,0,0,1,0,0,0,1,0,3,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,2,0,6,0,0,1,0,0,0,2,0,2,0,0],[0,4,0,0,0,0,0,0,0,0,6,0,0,2,0,0,0,0,0,0],[7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,0],[0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,2,0,3,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[3,0,1,0,0,0,0,3,0,0,0,1,0,4,0,0,0,2,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,4,0,0,2,0,0,4,0,0,0,0,3,0,1],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[3,0,0,1,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,3,0,0],[0,0,3,0,0,0,0,3,0,0,3,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1],[0,0,0,1,0,1,0,3,0,0,0,3,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0],[0,0,0,0,0,2,0,0,3,0,0,2,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,2],[2,0,3,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0],[2,0,0,3,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,3,0,5,0,0,3,0,1,0,2,0,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,2,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,2,0,0,1,0,3,0,3,0,0,0,0,0],[2,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0],[0,0,2,0,0,0,2,0,0,0,0,1,0,0,2,0,3,0,4,0],[0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0,4,0,0,0,1,0,2,0,3,0,0],[4,0,0,0,0,2,0,2,0,0,0,1,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[3,0,3,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,1,0,0,0,0,0,0,3,0],[0,0,0,0,2,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[5,0,1,0,0,0,1,0,3,0,0,3,0,0,0,0,0,2,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,3,0,0,0,0,3,0,1,0,0,0,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,6,0,0,0,2,0,3,0,0,2,0,3],[0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[4,0,0,1,0,5,0,0,1,0,0,0,0,0,0,2,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,2,0,0,1,0,1,0],[1,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,3,0,0,0,0,3,0,0,7,0,0,3,0,0,0,0],[3,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],[0,4,0,0,0,0,0,2,0,3,0,0,0,3,0,0,2,0,0,0],[0,0,0,0,0,3,0,0,1,0,0,1,0,0,0,0,0,1,0,0],[0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0],[2,0,1,0,3,0,0,0,1,0,1,0,4,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,2,0,2,0,1,0,2,0,2,0,0,2,0,0,2],] -- 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[[2,0,0,2,0,2,0,1,0,1,0,2,0,1,0,1,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,2,0,2,0,5,0,0,4,0,0,0,0],[0,0,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,4,0,0,0],[0,0,0,0,0,4,0,0,4,0,0,0,1,0,0,0,0,0,1,0],[0,0,5,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0],[3,0,0,0,0,0,0,2,0,0,8,0,2,0,0,3,0,0,0,0],[0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,2,0,3,0,1,0,0,0,0,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,3,0,0,0,0,1,0,0,0,0,0,1,0,4,0,0,0],[0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,2,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[4,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,1,0,0],[0,0,1,0,0,8,0,0,0,0,0,0,0,2,0,3,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[3,0,2,0,0,4,0,0,0,0,1,0,6,0,0,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,3,0,3,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,6,0,0,2,0,0,0,0,0],[1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,3,0,0,4],[0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,3,0,1,0,3,0,0,0,0,0,2,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0],[0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,1,0,2,0,0,4,0,0,0,2,0],[0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,2,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,2],[2,0,0,2,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0],[6,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,2,0,5,0,0],[0,0,0,0,0,0,4,0,0,1,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0],[0,2,0,1,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,0,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,4,0,0],[3,0,1,0,0,4,0,1,0,6,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0],[0,0,0,4,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0],[0,1,0,0,2,0,0,0,0,0,0,3,0,2,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,2,0,5,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,6,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,2,0,2,0,1,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,5,0,7,0,0,2,0,0,11,0,0,3,0,1,0,1,0,0,2],] -- [[3,0,0,0,6,0,0,0,1,0,2,0,1,0,2,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,0,0,1,0,3,0,4,0,2,0,0,3,0,0,0],[0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,5,0,0,7,0],[0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[7,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,3,0,0,5,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[1,0,2,0,0,1,0,3,0,1,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,1,0,3,0],[5,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,5,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,3,0,0,0,0,0,1,0,2,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0],[0,2,0,0,3,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,3,0,0,2,0,0,1,0,3],[1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0],[0,1,0,0,3,0,0,5,0,0,0,0,0,0,1,0,0,4,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,2,0,0],[0,2,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,4,0,1,0,0],[0,0,2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,3],[0,2,0,4,0,0,1,0,0,0,1,0,0,1,0,3,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,3,0,0,0,0,5,0,0,2,0,3],[0,0,0,0,0,6,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,3],[0,0,0,0,4,0,0,3,0,0,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,5,0,0,0,3,0,1,0,0,3,0,0,3,0,0,0,6,0,2],] -- [[3,0,3,0,0,3,0,0,0,2,0,2,0,0,1,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,2,0,0,0,1,0,4,0,0,0,0,0,2,0],[0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,1,0,0,1,0,0,3,0,4,0,0],[0,0,4,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,1,0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,6,0,1,0,0,0],[0,2,0,2,0,2,0,0,1,0,3,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,2,0,2,0,1,0,2,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0],[3,0,0,1,0,2,0,0,0,0,3,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,3],[0,0,0,0,0,3,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0],] -- [[2,0,0,2,0,0,3,0,0,2,0,2,0,0,2,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,3,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0],[0,0,0,2,0,0,0,2,0,2,0,0,1,0,0,0,3,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,7,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0,3],[3,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,5,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,3,0],[3,0,0,0,0,1,0,1,0,9,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0],[0,0,3,0,2,0,0,1,0,4,0,0,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,4,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0],[1,0,6,0,0,0,0,0,1,0,0,0,0,4,0,1,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,2,0,3,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[3,0,0,0,2,0,2,0,0,3,0,0,2,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,4,0,0,0,0,0,3,0,4,0,0,1,0,3,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,3,0,0,1,0,2,0,3,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,2,0],[5,0,0,1,0,1,0,3,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,8,0,1,0],[0,0,0,3,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[6,0,1,0,0,7,0,0,0,0,0,3,0,2,0,4,0,0,0,0],[0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,3,0,0,1,0,1,0,0,0,0,2,0],[0,0,2,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,3,0,0,3,0,3,0,0,0,1],[0,0,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],] -- [[1,0,3,0,0,0,1,0,1,0,1,0,1,0,1,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,3,0,6,0,0,3,0,6,0,0,0,0,0],[0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,2],[0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,2,0,0,3,0,0,2,0,0,0,2,0,0,2,0,0],[1,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,2],[0,2,0,0,0,0,0,0,0,3,0,3,0,3,0,0,2,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0],[0,0,4,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,3,0],[1,0,0,0,0,4,0,0,0,0,3,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[1,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,0,3,0,0,4,0,0],[3,0,0,4,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0],[3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,0,2,0,5,0,0,2,0,2,0,4,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,0,4,0,0,4,0,0,0,3,0,0],[2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,4,0],[0,0,0,0,2,0,3,0,3,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0],[0,1,0,0,2,0,0,2,0,0,1,0,2,0,3,0,0,0,2,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,6,0,3,0],[0,0,0,0,3,0,0,0,0,0,4,0,0,4,0,0,0,0,0,0],[1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,2],[2,0,0,4,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,2,0,0,1,0,3,0,2,0,0,3,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,3,0,0,0,3,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,2,0,0,0,0,3,0,0,3,0,1],[0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,0,0,2,0,4,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,5,0],[9,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,3,0,0,2,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,1,0,5,0,0,1,0,3,0,0,0,0,1,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[7,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,3,0,0],[0,0,0,0,0,1,0,0,0,0,2,0,2,0,3,0,1,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2],[2,0,0,0,0,0,0,0,1,0,4,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[1,0,3,0,2,0,0,2,0,2,0,4,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,3,0],[0,0,0,1,0,0,0,0,0,4,0,0,0,0,7,0,0,0,0,0],[0,0,4,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,1,0,0,9,0,0,0,0,2,0],[1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,2,0,0,0,0,0,3,0,0,0,0,2,0,0],[2,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[5,0,0,1,0,0,0,0,0,0,2,0,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,2,0,4,0,0,2,0,0,3,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1],[0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,2,0,0,0,3,0,0,3,0,0,0,0,3,0,1],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[1,0,2,0,0,1,0,3,0,5,0,2,0,0,1,0,1,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,2,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0],[2,0,7,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,3],[0,0,0,0,0,1,0,2,0,0,0,2,0,0,1,0,4,0,0,0],[0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,3,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0],[0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3],[1,0,0,1,0,0,1,0,0,7,0,0,1,0,0,0,0,0,0,0],[0,7,0,0,1,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,2,0,0,0,5,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0],[3,0,0,0,0,2,0,0,0,0,1,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[0,2,0,0,2,0,3,0,1,0,1,0,1,0,0,2,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,2,0,2,0,1,0,1,0,1,0,7],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,4,0,0,0],[0,0,3,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0],[0,0,0,3,0,0,8,0,0,0,0,0,2,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,6,0,3,0,0,3,0,3],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,2,0,3,0,0,0,0,1,0,0,1,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,3,0,1,0,0],[0,0,0,0,0,3,0,0,0,0,0,6,0,0,0,0,0,0,0,2],[0,0,0,3,0,0,0,1,0,0,0,0,0,3,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[2,0,2,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,5,0,0,0],[0,0,0,3,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,2],[2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1],] -- [[4,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[5,0,2,0,0,0,2,0,2,0,1,0,0,3,0,1,0,1,0,0],[0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,1,0],[0,0,0,4,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,2,0,0],[1,0,6,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,1,0,3],[2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,6,0,0,0,0,0],[0,1,0,0,1,0,3,0,2,0,0,0,2,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,3,0,0,0,8,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,4,0],[6,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0],[0,0,0,0,3,0,0,1,0,4,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[4,0,0,0,2,0,3,0,1,0,0,0,0,0,0,1,0,2,0,3],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],] -- [[2,0,1,0,2,0,1,0,4,0,0,0,1,0,2,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,1,0,1,0,0,0,3,0,0,0,2,0,0,4,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0,0],[2,0,4,0,0,3,0,0,0,0,2,0,0,0,0,0,4,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[2,0,1,0,0,0,3,0,0,0,3,0,3,0,1,0,0,0,0,0],[0,0,0,6,0,3,0,0,1,0,0,0,0,0,0,7,0,2,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,7,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,5,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,2,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,1,0,0,1],[0,1,0,0,0,0,0,0,4,0,0,1,0,0,0,1,0,1,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1],] -- [[3,0,0,0,1,0,1,0,1,0,2,0,1,0,2,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1,0,2,0,0],[0,0,0,0,2,0,5,0,0,0,0,0,0,0,2,0,0,0,0,2],[2,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,1,0,2,0,0],[0,0,0,0,2,0,0,3,0,0,3,0,0,0,0,0,0,0,0,3],[3,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,5,0,0,0],[0,0,0,2,0,0,3,0,0,1,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0],[2,0,3,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1],[0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,0,3,0],[3,0,0,3,0,0,0,2,0,8,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,5,0,0,0,0,0,0,5,0,0,0,0,0,1],[3,0,1,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1],] -- 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[[2,0,0,3,0,0,1,0,1,0,2,0,8,0,1,0,4,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,4,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,4,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2],[1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],[0,4,0,2,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,1,0,0],[0,0,0,0,4,0,0,2,0,0,0,1,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,2,0,0,0,0,0,2],[2,0,5,0,0,0,2,0,0,1,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,1],[2,0,5,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[3,0,0,0,1,0,1,0,2,0,0,2,0,2,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,1,0,2,0,1,0,3,0,1,0,0,0,0,0],[0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2],[0,0,0,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0],[2,0,0,0,0,2,0,0,0,1,0,5,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,2,0,0,0,0,3,0,0,0,1,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0],[0,0,3,0,0,0,4,0,3,0,0,3,0,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2],[0,0,0,3,0,0,2,0,4,0,0,4,0,1,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,6,0,0,1,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[3,0,0,0,0,0,0,2,0,0,0,0,0,7,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,5,0,1,0,0,2,0,0,3,0,3,0,0,0,0],[0,0,0,6,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3],[4,0,0,0,0,0,3,0,0,0,0,0,4,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0],[0,2,0,4,0,2,0,1,0,4,0,1,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,2,0,0,0,0,0,2,0,1,0,2,0,0,0,0,5,0,0],[0,0,0,0,2,0,2,0,0,1,0,0,0,0,4,0,0,0,0,0],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,3],[0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,2,0,4,0,1,0,1,0,0,0,0],[0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,5],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,4,0,3,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,1,0,1,0,0,3,0,1,0,0,3,0,0,0,9,0,3],] -- [[2,0,0,2,0,1,0,1,0,2,0,0,3,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,0,0,2,0,3,0,2,0,1,0,0,4,0,1],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[3,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,3,0,0,0,0,2,0,1,0,1,0,1],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,0,1,0,0,2,0,0,0,0,0,1,0,0,3,0,0,0,0,0],[0,2,0,2,0,0,0,5,0,0,2,0,3,0,0,0,0,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,2,0,0,0,0,0,3,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[3,0,0,4,0,0,0,3,0,0,1,0,2,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,5,0,0,0,0,3,0,0,2,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0],] -- [[1,0,8,0,0,1,0,1,0,1,0,5,0,0,0,7,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,3,0,0,3,0,1,0,0,0,0,0,0,3,0],[0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[6,0,0,0,0,0,2,0,0,1,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,6,0,0,0,0,0,1,0,0,0,5,0,1,0,3,0],[6,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,5,0],[0,0,0,3,0,0,0,0,0,2,0,2,0,0,0,4,0,0,0,0],[0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,4,0,0,3,0,0,0,0,3,0],[5,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,1,0,0],[0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- 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[[3,0,0,0,1,0,1,0,1,0,2,0,3,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,2,0,0,4,0,0,0,0,0,0,3,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0,0,3,0,2,0,0,0,0,3,0],[0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,3,0,2,0,0,0,0,0,0,3,0,0,3,0],[3,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,3,0,2,0,0],[0,0,0,0,2,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,4,0,3,0,0,0,0,1,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,4,0],[10,0,4,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,3,0,3,0,1,0,1,0,0,0,0,5,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,8,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0],[2,0,0,0,0,3,0,1,0,2,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1],] -- [[1,0,2,0,2,0,0,3,0,0,0,4,0,0,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,2,0,0,1,0,1,0,0,0,3,0,2,0,0,2],[0,0,4,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0],[1,0,2,0,2,0,0,1,0,2,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,2,0],[3,0,0,0,0,0,0,3,0,0,4,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,2,0],[1,0,3,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,2,0,4],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0],[0,0,0,6,0,0,2,0,1,0,0,3,0,4,0,0,0,3,0,0],[0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0],[1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0],] -- [[2,0,3,0,0,1,0,2,0,0,2,0,0,3,0,0,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,1,0,1,0,1,0,1,0,3,0,0,0,3,0,0,0],[0,0,3,0,0,3,0,0,0,0,0,1,0,0,0,4,0,0,0,0],[7,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,2,0,0,0,0],[1,0,1,0,1,0,3,0,3,0,0,0,0,0,1,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0],[4,0,0,2,0,3,0,0,0,0,0,0,0,0,3,0,0,0,2,0],[0,0,0,0,0,0,0,3,0,0,0,6,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[3,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0],[0,0,4,0,0,1,0,0,3,0,0,2,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,1,0,1,0,0,2,0,3,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0],[0,0,3,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,3,0,0,0],] -- [[0,0,0,3,0,1,0,1,0,0,0,0,1,0,2,0,1,0,1,0],[3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,0,2,0,0,0,2,0,0,3,0],[1,0,1,0,4,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,3,0,0,0,0],[2,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,3,0,0,2,0,0,0],[0,1,0,0,3,0,4,0,3,0,0,3,0,0,0,0,0,0,3,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0],[1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,4,0,0,0,0,0,0,2,0,3,0,3,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,2,0,4,0,0,0,3,0],[3,0,0,1,0,4,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,1,0,0,0,1,0,0,3,0,0],[2,0,0,0,0,2,0,2,0,2,0,2,0,0,0,2,0,0,0,2],[0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,1,0,0,0,0,0,3,0,0,3,0,2,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0],[0,0,3,0,3,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,4,0,0,0,3,0,0,0,0,3],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0],[0,0,0,0,3,0,0,2,0,1,0,0,0,0,0,0,2,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,0,3,0,4,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,3,0,0,4,0,2,0,0,0,0,0,0,0,0,0,1],[0,3,0,0,0,0,2,0,0,0,0,0,5,0,0,4,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,3,0,0,3,0,0,4,0,0,3,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0],[0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,7],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,2,0,0,0,3,0,0,0,9,0,0,3,0,0,2,0,1],] -- [[2,0,0,1,0,2,0,0,4,0,0,0,0,2,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,3,0,3,0,0,2,0,0,0,3,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,4,0,0,3,0,0,0,0,3,0,0,0,0,3,0,0,0,0,2],[0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,3,0,0,0],[0,0,0,0,0,1,0,3,0,0,1,0,7,0,0,0,0,0,1,0],[0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,2,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0],[3,0,3,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0],[0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0],[0,1,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,4,0,3],[0,0,2,0,0,0,0,0,0,0,3,0,0,4,0,1,0,0,0,0],[1,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,4,0,2,0,0,0,1,0,0,0,0],[3,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- 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[[1,0,3,0,0,1,0,1,0,1,0,3,0,0,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,0,0,1,0,3,0,0,0,3,0,0,0,0],[0,0,3,0,0,0,0,0,1,0,4,0,0,0,0,0,0,1,0,2],[6,0,0,0,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,2,0,2,0,2,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,2,0,1,0,2,0,0,1,0,1,0,0,0],[2,0,9,0,0,0,0,0,0,0,0,0,0,1,0,2,0,3,0,0],[0,0,0,0,3,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,1,0,3,0],[5,0,0,0,0,0,1,0,8,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,2,0],[0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1],[3,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,4,0,0,2],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[1,0,2,0,1,0,3,0,0,0,2,0,1,0,2,0,4,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,4,0,0,3,0,0,0,0,1,0,1,0,2,0,0,0,0],[0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,2,0,0,3,0,0,4],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0],[3,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0],[0,0,0,2,0,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,3,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0],[0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,3,0,0,0,2,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0],[0,1,0,2,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,3,0],[0,0,4,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0],] -- 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[[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,6,0,0,0,0,0,0,3,0,2,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,1],[0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,1,0,0,0,0,3,0,4,0,3,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,6,0,2,0,4,0,0,1,0,0,5,0,0,0,0,4,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0],[0,0,0,0,0,0,3,0,2,0,0,0,0,1,0,0,0,0,0,2],[0,0,6,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,3,0,1],[0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,1,0,3,0,0,3,0,0,6,0,0,4,0,1,0,1],] -- 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[[1,0,1,0,1,0,1,0,1,0,3,0,3,0,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,2,0,4,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0],[0,0,2,0,3,0,3,0,0,1,0,0,2,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,2,0,3,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,1,0,4,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,1,0,0,3,0,0,0,0,3,0,0,1,0,0,0,1,0,3],[0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,1,0,0],[1,0,2,0,2,0,0,0,0,2,0,1,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[6,0,0,3,0,0,2,0,2,0,3,0,0,0,2,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,2,0,0,0,3,0,0,0,2,0,0,0,0,0,0],[0,0,0,1,0,0,0,1,0,0,0,0,3,0,0,5,0,0,1,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,6,0,2,0,0,3,0,0,4,0,0,3,0,0,1,0,5,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,3,0,0,3,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,2,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0,3],[2,0,0,4,0,0,2,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,2,0,8,0,0,0,4,0,0,3,0,0,0,0,0,4,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,2,0,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,4,0,0,0,0,0,3,0,0,0,1,0,2,0,0,3,0,0],[2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,2,0,0],[0,0,1,0,3,0,0,0,5,0,0,2,0,0,0,0,0,0,1,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[4,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,3,0,0,0],[0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0],[3,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,2,0,4],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,6,0,0,1,0,0,2,0,0,0,0,0,1,0,0,2,0],[0,0,1,0,2,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0],[5,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0],[0,0,3,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,1,0,2,0,0,2,0,3,0,4,0,0,0,1,0,3,0,0],[2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,4,0,0,0,3,0,0,0,1,0,1,0,4,0,0],] -- [[3,0,0,0,3,0,3,0,0,2,0,1,0,3,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,4,0,0,0,10,0,0,0,0,0,0,1,0,0],[0,2,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,4,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,2,0,0,3,0,0,0,0,0,0,4,0,0,0,0],[5,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,5,0,5,0,0,3,0,0,0],[0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,1,0,0,0,0,0,0,4,0,3,0,4,0],[0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,3,0,0,0,0,0,2,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[4,0,0,1,0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,1,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,0,0,2,0,1,0,2,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,2,0,1,0,1,0,1,0,1,0,3,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,6,0,2,0,5,0,0,2,0,0,2,0,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,4,0,3,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,3,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,1,0,0,3,0,0,3,0,0],[1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0],[0,3,0,2,0,1,0,2,0,0,0,3,0,0,0,0,2,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,1,0,1,0,2,0,0,1,0,4,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[8,0,0,0,2,0,3,0,2,0,0,0,0,0,1,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,4,0,0,3,0],[0,0,0,1,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,2,0],] -- [[3,0,3,0,0,2,0,0,1,0,2,0,0,2,0,0,5,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,2,0,0,2,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,2,0,1,0],[6,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,3,0,0,2,0,0,2,0,0],[0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0],[0,0,4,0,3,0,0,2,0,1,0,3,0,3,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,2,0,2,0,3,0,0],[4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,2,0,2],[2,0,0,1,0,0,2,0,0,0,3,0,0,1,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,1,0,0,0,7,0,0,0,0,0,0,0],[6,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,1,0],[0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3],[1,0,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,4,0,3,0,0,0,0,0,1,0,0,0],[1,0,0,0,0,0,3,0,0,0,0,0,2,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4],[0,0,0,4,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,6,0,0,3,0],[0,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,7,0,1,0,0,0,0,0,5,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,2,0,0,0,4],[4,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,1,0],[0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,4,0,2,0,0,0,0,0,0,0,2],[0,0,0,0,4,0,1,0,0,0,0,0,0,0,4,0,0,3,0,0],[0,1,0,0,0,1,0,1,0,0,0,3,0,1,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,3,0,0,2,0,0,0,3,0,0,0,0,4,0,1,0,1],] -- 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[[3,0,2,0,0,2,0,0,3,0,1,0,0,4,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,4,0,0,0,0,0,3,0,0],[0,0,3,0,0,0,0,4,0,0,0,0,3,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,1,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[2,0,0,0,0,0,0,0,3,0,0,0,0,0,9,0,0,3,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,4],[0,0,0,4,0,0,4,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,1,0,0],[0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,0,0,3,0,2,0,1,0,4,0,0],[0,0,0,3,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,3,0,0,0,0,0,2,0,0,0,0,3,0,5,0,0],[0,0,0,0,0,2,0,2,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],] -- [[2,0,2,0,3,0,3,0,0,3,0,0,2,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,1,0,0,0,4],[3,0,0,0,0,0,0,0,0,1,0,2,0,0,2,0,4,0,0,0],[0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,4,0,0],[0,0,0,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[7,0,0,1,0,0,0,0,3,0,3,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,2,0,0,0,4,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,0,4,0,1,0,0,0,2,0,0,3,0],[0,0,1,0,6,0,4,0,0,0,0,0,4,0,0,0,0,1,0,0],[7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,5,0,0,0,0,0,0,0,2,0,1,0,3,0,1],[0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],] -- [[0,0,3,0,0,2,0,0,0,3,0,2,0,1,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,1,0,0,3,0,0,0,0,4,0,0,0,2,0,0,0,0,5],[3,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,4,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,2,0,0,0,3],[0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1],[0,0,0,0,0,3,0,1,0,0,1,0,0,0,0,2,0,0,0,0],[1,0,2,0,0,0,1,0,1,0,0,0,0,5,0,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,2,0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,8,0,0],[0,0,0,5,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,1,0,3],[0,3,0,0,0,0,0,3,0,0,0,0,0,1,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,2,0,1,0,3,0,0,0,0,0,6,0,0,0],[1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[3,0,0,0,4,0,0,0,1,0,3,0,1,0,1,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,3,0,0,3,0,0,0,0,4,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0],[0,0,3,0,2,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,0,3,0,0,2,0,0,0,2,0,1,0,2,0,0],[0,0,3,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,1,0],[0,0,0,3,0,4,0,0,1,0,0,3,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0],[4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0],[0,0,2,0,0,1,0,5,0,0,0,0,0,2,0,0,0,3,0,0],[2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,1,0,1,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,4,0,1,0,2,0,3,0,0,3,0,0,2,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,3,0,0,2,0,6,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0],[0,0,0,3,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,3,0],[0,0,0,0,0,0,2,0,0,0,0,3,0,0,3,0,0,0,0,0],[3,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0],[0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0],[0,0,0,0,0,3,0,0,0,2,0,0,1,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,2],[3,0,0,0,0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,7,0,0,0,1,0,3],[0,3,0,1,0,2,0,4,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,2,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0],[2,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],] -- [[0,1,0,0,5,0,1,0,0,3,0,1,0,0,2,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,2,0,1,0,1,0,0,3,0,0,3,0,3],[0,0,1,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,2,0,0,3,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,3],[0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,3,0,0,0],[0,0,0,3,0,1,0,0,3,0,1,0,0,0,3,0,0,0,0,4],[0,0,0,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,0,0,0,3,0,1,0,0,2],[2,0,1,0,0,2,0,0,0,1,0,3,0,0,0,0,0,3,0,0],[0,0,0,4,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,0,0,1,0,1,0,0,0,3,0,0,0,3,0,0,0,2,0],[0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0],[0,3,0,3,0,0,2,0,0,0,1,0,0,0,0,2,0,1,0,2],[0,0,0,0,0,0,0,4,0,0,0,1,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0],[0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[1,0,3,0,1,0,1,0,1,0,3,0,0,0,1,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,0,0,0,3,0,0,2,0,3,0,0,0,4,0,0,0,0,1,0],[0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,6,0,0],[0,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,3,0,0,0,3,0,0,2,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,2,0,0,0,0,1,0,0,2,0,2],[2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0],[0,2,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,3],[0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,8,0,0,0,0,0,0,0,1,0,0,4,0,0,4,0,0,0],[2,0,0,0,0,0,1,0,0,1,0,4,0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1],] -- 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[[1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,4,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,2,0,6,0,0,0,0,0,5,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,2,0,1,0,4,0,0,0,3,0,0,0,4,0,6,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,4,0,1,0,3,0,0,4,0,2,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,2],[0,1,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,4,0,3,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,8,0,0,1,0,0,0,0,0],[0,2,0,0,0,3,0,4,0,0,0,0,0,2,0,1,0,4,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,2,0,1,0,0,5,0,1,0,0,0,3,0,0,2],] -- [[1,0,2,0,0,3,0,0,0,4,0,0,1,0,3,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,4,0,1,0,1,0,0,2,0,0,1,0,1,0,2,0],[0,2,0,0,0,0,0,2,0,3,0,0,0,1,0,4,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,4,0,0,2,0,0,3,0,0,2,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,1,0,0,2,0],[4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,4,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],[2,0,0,0,5,0,0,0,0,2,0,0,0,3,0,6,0,0,2,0],[0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,3,0,0,0,0,0,0,0,0,2],[0,3,0,0,2,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,1,0],[0,0,0,1,0,3,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],] -- [[1,0,2,0,2,0,0,1,0,2,0,0,2,0,1,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,2,0,0,1,0,0,0,2,0,1,0,2,0,1],[0,0,1,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,1,0,0,0,0,0,0,2,0,0,0,1,0],[8,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,3,0,0,2],[0,0,0,0,0,0,0,2,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,1,0,1],[0,3,0,0,2,0,2,0,2,0,9,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0],[3,0,2,0,0,3,0,0,0,0,0,0,3,0,0,0,1,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,6,0,0,0,0,2,0,4,0,0,0,0,0,0,2,0,0,1],[3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,2,0,0,0,2,0,4,0,0,0,0,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,4,0,0,1,0,1,0,1,0],[2,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,2,0,0,1,0,2,0,0,1,0,2,0,0,2,0,4,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,2,0,1,0,3,0,2,0,0,3,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3],[0,0,0,0,0,0,1,0,0,5,0,2,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,1,0,0,5,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0],[0,3,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0],[5,0,3,0,0,2,0,0,0,0,0,2,0,2,0,0,0,4,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0],[0,0,2,0,0,0,0,1,0,0,4,0,1,0,0,0,0,0,0,1],[2,0,0,0,2,0,2,0,4,0,0,0,0,7,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,2,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,1,0,0,4,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,4,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,2,0,0,0,3,0,0,0,1,0,0,0,0,1],[0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,1,0,0,0,3,0,0,0,0,0,0,3,0,0],[4,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,5,0,0,2,0,0,3],[0,0,3,0,0,0,0,4,0,0,0,0,1,0,0,1,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,2,0,0,2,0,0,0,2,0,0],[3,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0,3,0,1,0,2,0,0,0,2,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,3,0,0,0,0,0,0,2,0,0,0],[3,0,0,0,3,0,0,2,0,0,0,0,4,0,0,0,0,3,0,0],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,3,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[3,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0],[0,0,5,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0],[2,0,0,0,6,0,0,0,3,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[1,0,1,0,0,4,0,0,0,0,2,0,0,0,0,0,1,0,1,0],] -- [[1,0,2,0,4,0,3,0,0,0,3,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,4,0,3,0,0,3,0,0,3,0,4,0,4,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,2],[0,2,0,4,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,3,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0],[3,0,0,0,1,0,3,0,2,0,4,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,3],[0,2,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,5,0,0,0],[2,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1],[0,0,0,0,3,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,5,0,0,0,0,0,0],[2,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0],] -- [[1,0,0,3,0,0,2,0,0,0,0,0,8,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[1,0,0,0,0,5,0,1,0,0,0,0,0,2,0,0,0,0,0,2],[0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,1,0,3,0,0],[0,1,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,3],[0,0,1,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0],[0,2,0,0,0,0,5,0,0,0,0,2,0,0,0,1,0,0,0,2],[0,0,0,0,0,0,0,0,4,0,0,0,1,0,1,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3],[2,0,0,0,4,0,1,0,0,0,0,0,1,0,0,2,0,2,0,0],[0,0,0,0,0,3,0,0,3,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0],[0,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,3,0,0,0,2,0,0,0,2,0,0,7,0,0],[0,0,0,4,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,3],[1,0,0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4],] -- 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[[2,0,7,0,0,0,0,0,2,0,0,1,0,0,5,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,6,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,3,0,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,2,0,0],[2,0,0,0,2,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0],[0,0,7,0,0,0,3,0,0,0,0,2,0,0,2,0,0,0,1,0],[2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,3,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,0,0,0,0,4,0,3,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3],[3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,8,0,0,1,0,0],[3,0,1,0,4,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,2,0,0,0,1,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],] -- [[3,0,0,0,1,0,3,0,0,0,3,0,0,0,3,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,0,0,3,0,3,0,3,0,0,0,2,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,1,0,0,2,0,2,0,1,0,3,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,0,3,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0],[1,0,0,0,4,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0],[0,1,0,1,0,0,0,0,0,2,0,1,0,2,0,0,0,0,2,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0],[3,0,0,0,6,0,0,0,0,0,3,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0],[6,0,0,0,0,0,0,2,0,0,2,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,1,0,0,0,3,0,0,1,0,0,0,4,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],] -- [[2,0,1,0,3,0,0,0,2,0,6,0,1,0,6,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[1,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,2,0,2,0],[0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,3,0,1,0,0,1,0,0],[2,0,1,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,4,0],[0,2,0,0,0,0,0,0,0,1,0,0,1,0,3,0,0,0,0,0],[0,0,0,4,0,0,1,0,3,0,0,1,0,0,0,0,2,0,0,0],[2,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0],[0,0,0,0,0,0,3,0,0,0,4,0,0,0,0,1,0,2,0,0],[0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2],[1,0,3,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,2,0,3,0,1,0,0,0,0,0,0,1,0,3,0],[3,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,2,0],] -- [[3,0,3,0,0,0,2,0,3,0,0,0,4,0,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,3,0,1,0,1,0,0,0,0,0,1,0,3],[0,4,0,0,0,3,0,0,0,0,0,0,4,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,2,0,0,0,3,0,0,3,0,0,0,0,0,2,0,2,0,0,1],[0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,3,0,0,2,0,0,0,0,3,0,0,2,0,2,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,3,0,0,2,0,1,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,3,0,0,0,0,1,0,3,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[2,0,2,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,3,0],[3,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0],] -- [[1,0,1,0,2,0,1,0,1,0,3,0,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,4,0,2,0,0,2,0,1,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,5,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,1,0,4,0,0,1,0,0,1,0,0,0,0],[0,1,0,0,0,0,1,0,0,0,0,1,0,6,0,0,2,0,0,0],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,7,0,0,0,0,0,2,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0],[0,0,5,0,0,0,0,0,0,0,3,0,3,0,0,0,3,0,0,1],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,2,0,0,0,0,0,1,0,0,3,0,0,0,0,0,3,0,0],[4,0,0,0,1,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,3,0,0,0,0,0,0,2,0,3,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,3,0,0,3,0,0,4,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,2,0,3,0,1,0,1,0,2,0,1,0,4,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,1,0,2,0,0,3,0,0,0,0,0,1],[0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,3,0,3,0,2,0,2,0,0,2,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,4,0],[0,1,0,1,0,2,0,0,0,0,3,0,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0],[2,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,1],[0,0,3,0,0,1,0,0,0,2,0,0,0,5,0,0,0,0,0,0],[2,0,0,0,2,0,4,0,0,0,0,4,0,0,0,0,2,0,4,0],[0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,3,0,0,0,0,0,0,0,2,0,4,0,0,0,0],[0,0,3,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1],[0,0,0,0,5,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0],[0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0,0,1],] -- [[0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,4,0,0,2,0,0,0,2,0,0,0,2],[0,0,0,3,0,2,0,0,0,0,0,0,0,4,0,0,0,2,0,0],[1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0],[0,0,0,0,1,0,3,0,2,0,0,0,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,3],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,2,0,2,0,0,0,4,0,4,0,0,0,0,0,0],[0,0,0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,2,0,1,0,2,0,3,0,0,5],[0,3,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,2,0,3,0,2],[3,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,5,0,1,0,0,4,0,0,0,0,0,3,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,4,0,0,3,0,3,0,0,4,0,1,0,1],] -- 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[[0,0,2,0,3,0,0,3,0,2,0,0,2,0,2,0,0,2,0,5],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,3,0,0,0,0,3,0,2,0,1,0,0],[0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0,7,0,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,3,0,0,3,0,0,3,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,2,0,3,0,0,0,0,0,1,0,0,0,0,5,0,0],[0,0,0,0,0,2,0,0,1,0,2,0,0,11,0,1,0,0,0,4],[3,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0],[0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,1,0,1,0,2,0,0,0,0,5,0,0,0,0,0,0,0],[0,0,3,0,2,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2],] -- [[1,0,1,0,2,0,1,0,1,0,1,0,4,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,2,0,1,0],[0,1,0,1,0,0,0,0,3,0,2,0,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,1,0,0,3,0,2,0,0,3,0,0,1,0,0],[7,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,2,0,4,0,0,0],[0,0,1,0,3,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,9,0,3,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,3,0,0],[2,0,0,0,0,0,0,0,2,0,0,3,0,0,0,2,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,3],[1,0,2,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0],[0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,2,0,0,3,0,0,0,1,0,1,0],[0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,0,2,0,0,1,0,2,0,0,1,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,6,0,0,2,0,2,0,0,6,0,3,0,0,3],[0,4,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[3,0,2,0,0,0,1,0,0,0,0,1,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,3,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,3,0,0,2,0],[0,0,1,0,1,0,0,0,0,0,2,0,3,0,1,0,0,0,0,0],[1,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,3,0,0,0,0,2,0,0,0,0,2,0,4,0,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,6,0,0,0,0,0,4,0,0,2,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,4],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0],[3,0,4,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0],] -- [[4,0,5,0,0,0,2,0,1,0,2,0,3,0,0,4,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,1,0,3,0,0,0],[0,0,1,0,2,0,0,0,0,0,4,0,0,4,0,0,0,0,0,1],[3,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,3],[0,0,0,0,0,0,2,0,0,0,4,0,2,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0],[0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,5,0,0,0,0,0,0,0,0,0,3,0,6,0,0,0,0,2],[0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,3,0,7,0,0,2,0,0,0,0,0],[2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,0,1,0,0,3,0,0,0,0,0,2,0,0,1],[0,0,0,3,0,0,3,0,0,1,0,0,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[2,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,0,3,0,2,0,1,0,1,0,1,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,1,0,3,0,0,6,0,0,0,1,0,2],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,2,0,0,3,0,0,0,3,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,2,0,4,0,0,0,0,0,0,0,1,0,4,0,0,0,0,3],[7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0],[0,0,1,0,2,0,1,0,0,0,0,0,0,0,5,0,0,4,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,3],[2,0,0,0,3,0,0,0,0,0,0,2,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,2,0,4,0,0,0,2,0,0,1,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,1,0,2,0,1,0,2,0,0,1,0,3,0,4,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,2,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,1,0,0,0,0,0,1,0,1,0,4,0,0,4,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,2,0,1,0,0,4,0,0,0,0,0,3,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,2,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,3],[4,0,0,0,0,2,0,0,1,0,2,0,2,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[0,0,3,0,0,1,0,0,0,0,3,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,2,0,1],[0,0,3,0,0,2,0,3,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0],[2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0],[0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1],] -- [[1,0,2,0,0,2,0,0,1,0,1,0,2,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,4,0,3,0,0,2,0,2,0,0,0,1,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,2,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0],[0,0,2,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0],[3,0,0,0,0,4,0,0,0,0,0,1,0,0,1,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,3,0,0],[0,0,3,0,3,0,0,0,2,0,0,0,0,0,3,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[7,0,0,0,0,0,2,0,0,1,0,3,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,2,0,0],[0,0,2,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,3,0,0,2,0,0,0,3,0],[0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,4,0,3,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,0,0,2,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0,0,0,0,1,0,0,3,0,0,0,0,0],] -- [[1,0,2,0,4,0,0,0,0,2,0,3,0,1,0,1,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,2,0,0,3,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,11,0,0,0,1,0,0,0,0,6,0,0,0,0,0,1,0,1],[3,0,0,0,0,4,0,0,2,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[0,6,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,0,5,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,4,0,0],[3,0,0,0,1,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0],[0,0,0,4,0,1,0,0,0,0,0,3,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0],[0,0,0,0,0,0,0,1,0,0,1,0,4,0,5,0,0,0,0,0],[3,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[1,0,2,0,4,0,2,0,0,3,0,0,2,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,3,0,1,0,0,0,3,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0],[0,3,0,3,0,1,0,0,0,0,0,0,0,0,1,0,1,0,3,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0],[0,0,6,0,2,0,0,2,0,1,0,1,0,0,0,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0],[0,0,0,0,0,0,3,0,3,0,0,2,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,1,0,0,0,1,0,3,0,0,4,0,0],[3,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,2,0,1,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,3],[3,0,3,0,3,0,0,6,0,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,3,0,0,2,0,0,3,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,6],[0,0,0,0,0,2,0,0,0,0,3,0,3,0,0,4,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,1,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,4,0,0,6,0,0,0,2,0,0,0,3,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,1,0,0,1,0,0,3,0,2,0,0,0,0,0,0,0,4],[0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,7,0,2,0,0,1,0],[0,0,0,3,0,0,0,6,0,1,0,0,0,0,1,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,3,0,1,0,1,0,0,2,0,0,0,3,0,1],] -- [[2,0,2,0,1,0,2,0,2,0,1,0,2,0,2,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,7,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,3,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,3],[1,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,4,0,0,0],[0,3,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,6,0,3,0,0,0,0,2,0,0],[0,0,0,1,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,1],[1,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,7,0,0,2,0,1,0],[1,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,2],[0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,3,0,0],[0,0,0,0,4,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,2,0,5,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,6,0],[0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1],] -- [[3,0,2,0,1,0,4,0,0,0,0,2,0,0,4,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,3,0,0,4,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,3,0,0,2,0,1,0,1,0,2,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,1,0,0],[3,0,2,0,0,2,0,6,0,0,0,0,0,0,0,0,4,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,3,0,2,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,0],[3,0,0,1,0,0,4,0,0,0,0,0,0,2,0,2,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0],[0,0,1,0,0,0,4,0,0,2,0,0,0,0,1,0,3,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,2],[0,0,3,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0],[0,2,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[6,0,0,1,0,1,0,1,0,2,0,0,1,0,4,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,4,0,0,2,0,0,3,0,1,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,2,0,0,1,0,2,0,0,3,0,0,3,0,1,0],[0,0,0,0,0,0,0,7,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,1,0,0,0,0,0,0,3,0,0,5,0,0,0],[0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[3,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,1,0,1],[0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,3,0,1,0],[3,0,1,0,0,3,0,3,0,0,4,0,0,0,0,0,0,0,0,1],[0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,3,0,1,0,1,0,4,0,1,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[5,0,3,0,0,0,3,0,0,0,1,0,1,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,3,0,1,0],[0,0,0,0,0,0,0,0,4,0,0,0,1,0,1,0,0,0,0,0],[2,0,2,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,5,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,3,0,0,0,0],[0,3,0,3,0,0,1,0,0,0,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,5,0,0,10,0,0,0,0,0,2],[0,0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0],[0,0,0,6,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[7,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,3,0,0],[0,0,0,0,0,2,0,0,0,0,3,0,0,2,0,0,0,0,0,3],[3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,2,0,2,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,3,0,0,2,0,0,3,0,0,0,0,4,0,0,2,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,6,0,0,0,4,0,0,0,0,6,0,1,0,0,2],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,3,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,3],[0,0,3,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,2,0,0,1,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0],[1,0,0,3,0,0,0,5,0,0,0,0,0,2,0,2,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0],[0,1,0,0,0,0,0,0,2,0,0,0,3,0,1,0,0,0,0,1],[0,0,0,2,0,0,3,0,0,0,2,0,0,0,0,0,1,0,0,0],[0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,2],[0,0,0,1,0,0,0,0,0,0,3,0,0,3,0,0,0,1,0,0],[0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,3,0,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[1,0,1,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,3],[0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,4,0,0,0],[0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,4,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,2,0,6,0,4,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[3,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,3],[0,0,2,0,0,5,0,0,0,0,1,0,0,0,0,0,0,2,0,0],[0,1,0,0,2,0,0,0,0,0,0,0,5,0,0,5,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,3],[0,0,0,3,0,0,1,0,5,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,1,0,1,0,0],[0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3],[0,0,0,1,0,0,3,0,0,0,0,0,0,0,6,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,3,0,1,0,1,0,0,9,0,0,0,0,0,2,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,2,0,1,0,0,2,0,1,0,0,2,0,3,0,1],] -- [[1,0,2,0,0,2,0,0,2,0,1,0,2,0,0,1,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,3,0,1,0,3,0,3,0,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,1,0,0,0],[4,0,2,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,1,0,9,0,0,4,0,1,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,3,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,7,0,0,0,4,0,0,0,4,0,0,3,0,0,0,0,3,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0],[1,0,0,0,0,0,0,3,0,0,3,0,0,3,0,0,0,0,0,0],[0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,1,0],[2,0,0,0,3,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,4,0,4,0,0,0,0,0,1],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],] -- [[1,0,2,0,0,1,0,1,0,3,0,0,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,3,0,4,0,0,1,0,2,0,1,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,2,0,0,3,0,0,3,0,2,0,0,0,0],[2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0],[1,0,0,0,0,0,0,4,0,0,0,1,0,0,2,0,0,0,0,2],[0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[9,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0],[0,0,0,6,0,0,2,0,7,0,0,0,4,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,3,0,0,4,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,2,0,2,0,0,0,3,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,0,0,0,0,0,0,5,0,0,0,0,3,0,0,0,0,0,0],[0,0,1,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0],] -- [[7,0,2,0,3,0,1,0,3,0,0,0,2,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,2,0,0,1,0,2,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,1,0,0,3,0,4,0,0,2,0,3,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[1,0,0,0,3,0,0,0,0,0,3,0,0,1,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,2,0,3,0,0,0,0,2],[2,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,1,0,0,2,0,3,0,1,0,0,0,4,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,2,0,2,0,0,0,0,3,0,1,0,4,0,1],[2,0,3,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,3,0,0,0,1,0,0,0,1,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0],[5,0,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,0,2,0],[0,0,0,0,1,0,2,0,2,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,4,0,4,0,2,0,4,0,1,0,2,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[7,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,5,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,0,0,2,0,0,0,0,2,0,5,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0],[1,0,3,0,0,0,1,0,0,2,0,3,0,2,0,0,0,1,0,0],[0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[0,4,0,0,0,0,2,0,3,0,1,0,2,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0],[5,0,0,3,0,0,1,0,0,0,0,2,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,3,0,0,1,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,6,0,0,0,0,0,1,0,3],[0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0,3,0,0],[0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,4,0,0,0,0],[0,2,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,3,0,2],[0,4,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,4,0,0,0,0,1],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0,0],[0,0,3,0,0,3,0,0,0,0,0,4,0,0,2,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,3,0,3,0],[0,0,0,0,2,0,0,0,5,0,0,0,3,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,2,0,2,0,0,0,0,3,0,1,0,3,0,0,0,0,0],[0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,6,0,2,0,1,0,2,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,3,0,3,0,2,0,1,0,0,0,0,0,0,3,0,1,0,1],] -- [[5,0,1,0,2,0,1,0,2,0,2,0,0,2,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,3,0,0,0,1,0,0,0,0,1,0,0,2,0,0],[0,0,0,1,0,0,0,0,3,0,6,0,0,4,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[4,0,2,0,0,0,1,0,0,0,0,0,3,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,1,0,0,0],[0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[1,0,0,0,0,0,1,0,4,0,0,0,0,4,0,0,3,0,0,0],[0,9,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,3,0,0,0,2,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,8,0],[0,3,0,0,0,0,0,8,0,0,0,0,2,0,7,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0],[2,0,0,2,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1],] -- [[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3],[0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,5,0,0,0,0],[0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0],[0,0,0,0,0,3,0,0,0,0,2,0,0,0,2,0,0,0,0,3],[0,0,3,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,4,0,1],[0,0,0,0,1,0,1,0,0,3,0,0,0,0,0,0,2,0,0,0],[0,3,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,4],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1],[0,4,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,0,5,0,0,0,0,0,0,0,6],[0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,6,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,2,0,4,0,0,2,0,0,0,0,0,0,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0],[0,0,0,0,0,0,3,0,0,0,5,0,0,0,2,0,0,0,0,1],[0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0],[3,0,0,4,0,1,0,0,0,2,0,0,0,0,3,0,0,5,0,1],] -- [[1,0,3,0,0,4,0,0,0,3,0,0,4,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,3,0,0,0,3,0,0,0,3,0,0,0,2],[0,0,0,4,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,3,0,2,0,3,0,0,0,0],[0,0,0,0,3,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0],[0,0,0,1,0,0,1,0,0,3,0,2,0,1,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,4,0,2,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0],[0,0,0,0,3,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,2,0],[0,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0,0,3,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,4,0,0,1,0,0,0,0],[0,0,2,0,0,0,1,0,2,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,6,0,0],[0,0,2,0,0,3,0,0,0,1,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[4,0,0,0,0,3,0,1,0,2,0,0,5,0,0,0,4,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,2,0,1,0,3,0,0,0,0,0,0,2,0],[0,0,2,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0],[4,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,6,0,0,0,0,0,0],[0,0,0,1,0,3,0,4,0,0,0,0,0,0,0,1,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,3,0,0,0,0,0,8,0,0,0,0,0,0,1,0,4],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,2,0,0],[4,0,0,0,3,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,4,0,1,0,3,0,0,0,3,0,0,3],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,2,0,2,0,3,0,4,0,0,0,1,0,7,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,1],] -- [[4,0,9,0,0,0,2,0,0,2,0,0,1,0,4,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,3,0,0,1,0,0,0,0,1,0],[0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,2],[4,0,0,0,2,0,0,1,0,0,0,0,3,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,3,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,2,0,0,0],[4,0,1,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,3,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,8,0,0,0,0,0,0,0,2,0,0,0],[2,0,1,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,5,0,0,0,0,1,0,0,3,0,0,3,0,0,0,0,2,0,0],[0,0,0,0,0,3,0,2,0,0,0,2,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0],[0,0,2,0,1,0,2,0,0,2,0,0,0,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,3,0,0,3,0,1,0,2,0,0,3,0,0,4,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,3,0,0,1,0,0,1,0,3,0,0,3,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,2,0,1,0],[0,0,1,0,0,2,0,3,0,0,0,1,0,2,0,0,0,0,0,0],[0,2,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,1,0,1,0,4,0,0,0,0,1,0,1],[1,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,3,0,2,0,0,0,1,0,0,0,0,0,0,0,1],[3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,1,0,1,0,0],[0,0,3,0,0,0,1,0,0,0,0,6,0,0,0,0,0,0,3,0],[1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0],[0,2,0,7,0,0,1,0,0,1,0,5,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0],[1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,0,0,3,0,0,1,0,2,0,4,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,4,0,0,0,0,1,0,4,0,0,0,0,1,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[6,0,2,0,0,3,0,0,0,2,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,4,0,1,0,0],[0,0,0,0,0,0,0,2,0,0,4,0,0,1,0,0,0,0,1,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,3,0,3],[0,0,4,0,0,0,0,4,0,0,3,0,7,0,0,2,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0,1,0,3,0,0,1,0,0,0,0,3,0],[0,3,0,0,0,1,0,3,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,3,0,0,4,0],[2,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,3,0,0,1,0,3,0,0,0,4,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,2,0,1],[0,0,0,0,0,0,0,5,0,0,0,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[2,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,9,0,0,0,0,4,0,1,0,4],[0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,4,0,0,0,0,0,0,4,0,0,0,7,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,3,0,3,0,1,0,0,0,1,0,0,2,0,0],[0,0,0,0,0,2,0,1,0,1,0,0,3,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,1],[0,0,0,4,0,0,2,0,1,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,4,0,0,0,0,2,0,1,0,0,4,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,2,0,0,2,0,3,0,2,0,1,0,0,0,0,4,0,2],] -- [[2,0,0,1,0,5,0,0,0,0,2,0,0,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,1,0,3,0,0,0,0,1,0,0,0,2,0,0,0,4,0],[0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,1,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,3,0,0,2,0,0,0,0,3,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0],[4,0,1,0,0,4,0,0,0,0,1,0,2,0,1,0,1,0,0,2],[0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0],[0,0,3,0,0,3,0,0,0,0,1,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0,3,0,0],[0,0,4,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,3,0,2,0,0,0,0,0,0,4,0,0,0,0,0],[5,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,4,0,2,0,0,3,0,0,2,0],[3,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,2,0],] -- [[2,0,0,1,0,0,0,0,2,0,0,1,0,1,0,2,0,2,0,1],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,2,0,1,0,0,4,0,0,0,3,0,4,0,0,0,0,1,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,3,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0],[0,0,0,0,0,0,0,3,0,4,0,0,2,0,2,0,3,0,0,0],[3,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[3,0,4,0,0,4,0,0,0,0,0,0,2,0,2,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0],[1,0,2,0,1,0,1,0,0,0,0,0,2,0,0,0,0,3,0,0],[0,0,0,0,0,2,0,5,0,0,2,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,3,0,1,0],[0,0,0,0,0,0,0,0,5,0,0,3,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],] -- 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[[1,0,2,0,1,0,4,0,0,1,0,1,0,3,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,4,0,0,0,0,0,3,0,0,0,0,0,3,0,2,0,3],[0,0,4,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,4,0],[6,0,0,0,0,0,0,0,0,2,0,1,0,0,6,0,0,0,0,0],[0,0,0,4,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[3,0,2,0,0,1,0,2,0,0,0,0,0,0,3,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,1,0,0,0,0,5,0,0,0,0,0,1,0,3],[2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,5,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,3,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,1,0,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0],] -- 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[[4,0,2,0,0,2,0,0,3,0,0,3,0,0,4,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,0,0,2,0,6,0,0,0,4,0,0],[0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,0,2,0,0,1],[0,0,2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0],[0,0,1,0,0,0,0,2,0,0,0,1,0,3,0,0,0,0,0,0],[2,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0],[0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0],[3,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,3,0,0,0,0,0,4,0,0,0],[4,0,0,0,0,0,4,0,2,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,2],[3,0,0,0,3,0,0,0,0,1,0,2,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,3,0,0,0,0,0,0,1,0,1,0,1],] -- [[1,0,2,0,2,0,3,0,3,0,0,4,0,2,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,4,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,5,0,2,0],[0,0,1,0,0,3,0,0,0,0,0,0,5,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,2,0,7,0,0,0,0,0,0,0,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,2,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,1],[0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0],[3,0,0,0,1,0,2,0,0,0,0,3,0,0,1,0,0,0,0,3],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0],[0,3,0,0,0,0,2,0,0,1,0,4,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,0],[2,0,0,0,0,3,0,3,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0],[0,2,0,0,3,0,1,0,0,2,0,0,0,0,1,0,0,0,0,3],[0,0,1,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,2],[0,0,1,0,2,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2],[0,0,0,0,0,2,0,3,0,0,2,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,5],[0,0,0,0,0,0,0,0,2,0,0,1,0,4,0,0,3,0,0,0],[0,0,0,0,9,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1],[0,0,0,7,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,1,0,0,2,0,0,1,0,0,0,4],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,6,0,0,0,0,0,0,0,2],[0,0,0,0,5,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,0,0,0,0,4,0,1,0,0,5,0,2],] -- [[1,0,3,0,2,0,4,0,0,0,1,0,2,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,3,0,2,0,0,0,0,0,3,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,2],[0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,2,0,2,0],[0,0,0,0,0,0,3,0,0,0,2,0,0,0,2,0,0,0,0,0],[4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,2,0,0,1,0],[0,0,0,0,0,1,0,5,0,0,0,0,0,1,0,0,0,1,0,0],[1,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,3],[0,0,0,0,2,0,0,2,0,0,2,0,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,4,0,0,3,0,0,3,0,1,0,3,0],[0,0,2,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0],[0,2,0,0,0,0,3,0,0,1,0,4,0,0,3,0,0,1,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0],] -- [[1,0,2,0,3,0,0,2,0,9,0,0,1,0,3,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0],[0,0,3,0,0,3,0,1,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,5,0,1],[8,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,6,0,0,0,0,0,3,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0],[0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4],[0,0,4,0,1,0,0,1,0,3,0,0,0,0,1,0,1,0,0,0],[1,0,0,0,0,6,0,0,0,0,0,0,0,2,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0],[1,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,3,0,0,4],[3,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0],[0,2,0,0,1,0,4,0,0,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0],] -- 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[[7,0,1,0,1,0,2,0,0,2,0,4,0,3,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,2,0,0,0,0,0,0,2,0,0,3,0,4,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,4,0,1,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,3,0,3,0,0,1,0,5,0,0,3,0,2,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,6,0,0,0,0,1,0,4,0,0,0,2,0,0,0,1,0,0],[0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0],[0,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,2],[0,0,0,1,0,7,0,0,0,3,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,2,0,0,0,1,0,3,0,6,0,0,0,0],[3,0,6,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],] -- [[6,0,1,0,3,0,0,0,1,0,3,0,0,2,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,3,0,1,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,1,0],[3,0,0,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,2,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,1,0,0,2,0,0,0,2,0,0,7,0,1,0,0,0],[0,0,0,0,0,7,0,0,0,0,6,0,0,0,0,0,0,0,2,0],[1,0,0,4,0,0,0,0,3,0,0,0,1,0,0,0,0,1,0,1],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,1,0,3,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0],[10,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,1,0,6,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,2,0,3,0,0,0,0,0,0,0,2],[1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,4,0,0,3,0,2,0,2,0,3,0,2,0,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,2,0,2,0,2,0,0,1,0,0,7,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[1,0,3,0,3,0,2,0,3,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,2,0,2,0,0],[2,0,3,0,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0],[0,2,0,3,0,3,0,0,0,0,0,1,0,0,1,0,2,0,4,0],[0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2],[1,0,3,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,2,0,4,0,0,0,2,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,3,0,0,6,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,3,0,0,0,1,0,1,0,2,0,1,0,1,0,1,0,5,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,2,0,0,3,0,1,0,0,2,0,5,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,4],[0,0,3,0,0,0,0,1,0,0,0,0,0,3,0,3,0,0,0,0],[1,0,0,0,0,0,9,0,0,1,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,8,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,2,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,4],[0,0,0,0,0,3,0,0,0,0,6,0,0,2,0,0,3,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,3,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,0,4,0,0,0,0,0,2,0,0,2,0,1,0,0,3,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,1,0,1,0,0,3,0,0,3,0,0,3,0],[0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,3,0,0,0,0,0,0,4,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2,0,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0],[0,0,6,0,3,0,3,0,1,0,1,0,0,0,1,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,5,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,2,0,0,5,0,0,0,0,0,0,0,0,0,3,0,2],[0,0,3,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,3,0,1,0,0,5,0,1],[0,0,4,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,2,0,0,3,0,0,0,0,2,0,0,0,0,2],[0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,3,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],] -- [[0,0,0,0,0,3,0,0,0,1,0,0,0,1,0,3,0,0,0,1],[2,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,1,0],[0,0,0,0,3,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0],[0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0],[1,0,0,0,0,0,4,0,0,0,0,0,0,1,0,4,0,0,0,0],[0,0,3,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,2,0],[0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[3,0,1,0,0,0,0,2,0,1,0,0,0,0,7,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2],[1,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,2,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0],[1,0,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,1,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,1,0,0,6,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[0,4,0,2,0,0,3,0,2,0,2,0,1,0,0,3,0,0,0,0],] -- [[2,0,2,0,0,2,0,0,4,0,0,0,2,0,2,0,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,1,0,3,0,2,0,0,0,0,0,3,0,1,0,0],[0,0,2,0,1,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0],[1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,3,0,1,0,0,1,0,0,0,0,0,3],[2,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,5,0,0,0],[0,0,0,0,0,7,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[6,0,0,0,0,0,0,8,0,0,0,0,0,0,1,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0],[0,0,0,0,0,1,0,1,0,8,0,0,2,0,4,0,0,0,0,2],[1,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,2],[0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- 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[[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,5,0,1,0,1],[0,2,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,2,0,2],[3,0,0,0,3,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,2],[1,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,9,0,2,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,1,0,1,0,1,0,0,0,3,0,0,4],[1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,4,0,1,0,2,0,0,3,0,3,0,1,0,0,2],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0],[0,2,0,0,2,0,0,4,0,0,0,0,0,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1],[0,0,0,0,3,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,2,0,1,0,0,2,0,0,0,4,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,3,0,0,0,3,0,1,0,1,0,0,3,0,3],] -- [[1,0,3,0,2,0,0,2,0,3,0,0,0,1,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,0,0,0,1,0,8,0,3,0,0,3,0,0,0,2,0,3,0,0],[0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,5,0,0,3,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,6,0,0,0,2,0,3,0,0,0,0,0,0,1],[3,0,3,0,3,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,1,0,1,0,3,0,0,0,0,0,0,0,2,0,2,0,3,0,2],[0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,1,0,3,0,0,0,4,0],[4,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,2,0,5,0,0,2,0,1,0,0,4,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[3,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[1,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,6,0,2,0,0,0,0,2,0,0,4,0,0,0,0],[0,0,4,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,2],[0,0,3,0,1,0,0,0,3,0,0,0,0,3,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,5],[0,0,4,0,3,0,1,0,0,0,0,0,1,0,0,0,0,3,0,0],[0,1,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0],[0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,2],[1,0,2,0,0,0,0,2,0,0,1,0,3,0,0,2,0,4,0,0],[0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1],[0,0,0,3,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0],[1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,2,0,2,0,0,4,0,0,0,6,0,2,0,0,3,0,0,0,2],] -- [[0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,1],[0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,3,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,6],[1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,0,0,0],[0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,7],[0,0,0,0,4,0,2,0,0,1,0,3,0,1,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1],[0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,1,0,1,0,0,0,0,1],[0,0,0,3,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,4],[0,0,4,0,1,0,0,3,0,0,0,0,1,0,0,5,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2],[0,1,0,0,0,0,0,1,0,0,0,3,0,0,0,0,2,0,0,0],[0,0,0,3,0,2,0,0,0,0,0,0,1,0,0,4,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,1,0,2,0,3,0,2,0,0,0,0,4,0,3,0,1],] -- [[1,0,2,0,0,0,3,0,0,1,0,2,0,1,0,2,0,0,3,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,3,0,0,3,0,0,3,0,0,0,0],[0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,4,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,3,0,1,0,0,0,3,0,1,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[1,0,0,0,3,0,5,0,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,2,0,0],[1,0,1,0,0,1,0,0,0,0,0,6,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,3,0,0,0,0,0,0,2,0,0,3,0,0,0,1,0,1,0],[3,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,4,0,0,0,0,0,0,0,3,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,2,0,0,3,0,1,0,1,0,0,2,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,2,0,1,0,1,0,1,0,3,0,1,0,2],[3,0,0,0,0,0,0,0,3,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0],[0,0,0,6,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,2,0,2,0,0,0,0,0,0,2,0,0,10],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,3,0,0,1,0,0,0,6,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,3,0,2,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,0,0],[0,2,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,3,0,0],[0,0,1,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,5],[0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,1,0,0,0,3,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,2],] -- [[1,0,2,0,1,0,3,0,0,3,0,0,1,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,9,0,1,0,0,2,0,0,4,0,0,1,0,0,0,0,0],[0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,1,0,0,0,0,3,0,0,4,0,0,0,0,2,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0],[0,2,0,0,0,0,0,4,0,0,2,0,0,2,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,5,0,0,1,0,1,0,2],[2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0],[14,0,0,0,0,0,0,0,0,2,0,3,0,3,0,0,0,0,0,0],[0,0,0,0,1,0,5,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0],[0,0,1,0,0,0,0,0,0,5,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- 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[[7,0,1,0,3,0,0,0,1,0,1,0,2,0,2,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,3,0,0,1,0,1,0,2,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,3,0,0,2,0,0,0,3,0,0,0,0,0,0,0],[6,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,3,0,0],[0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0],[0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,0,3],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0],[0,3,0,0,2,0,4,0,0,0,0,4,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0],[2,0,0,2,0,3,0,0,0,1,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0],[0,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,4,0,0],[0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0],] -- [[3,0,0,0,2,0,3,0,0,0,1,0,2,0,3,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,4,0,0,1,0,0,0,1,0,2,0,2,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0],[2,0,3,0,0,3,0,0,0,2,0,1,0,2,0,0,0,1,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,1,0,3,0,0,3,0,0,0,1,0,1,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0],[4,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,2,0,0],[0,0,0,2,0,0,3,0,0,0,0,0,2,0,0,0,5,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0],[1,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,3,0,0,2,0,0,0,0,0],[2,0,1,0,0,1,0,3,0,3,0,0,0,0,0,0,2,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0,0,0,4,0],[0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0],] -- [[2,0,0,2,0,1,0,1,0,3,0,0,0,1,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,2,0,0,3,0,2,0,0,3,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[4,0,7,0,0,0,3,0,1,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,4,0,0,0,3],[0,0,0,0,1,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0],[0,0,6,0,0,4,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,4,0,0,3,0,0,0,4],[0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0],[4,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,3,0,0,0,1,0,0,3,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,3,0,3,0,0],[3,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,3,0,3],[0,0,3,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],] -- [[0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[2,0,2,0,0,0,3,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,3,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,3,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,1,0,2,0,5,0,2,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,6,0,2,0,0,0,0,6],[0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,2],[0,0,0,0,3,0,0,3,0,0,0,0,0,0,1,0,2,0,0,0],[0,3,0,0,0,0,3,0,0,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,2,0,2],[0,0,0,0,4,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,2,0,0,1,0,3,0,0,0,2,0,1,0,0,0,3],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,4,0,3,0,0,0,3,0,0,0,5],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,0,0,1,0,1,0,0,0,3,0,1,0,0,0,3],] -- [[1,0,2,0,0,3,0,0,0,1,0,1,0,1,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,3,0,0,1,0,1,0,3,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,4,0,0,0,2],[0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,1,0,0,0,3,0,0,3,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[1,0,0,0,1,0,3,0,0,3,0,4,0,0,0,0,0,0,0,0],[0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,3],[0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,6,0,0,0,0,0,0,0,1,0,1,0,5,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,2],[0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0],[4,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,2,0,4,0,0,0,0,0,3,0,1,0,0,1,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1],] -- [[3,0,2,0,3,0,0,1,0,2,0,3,0,0,0,2,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,1,0,3,0,0,2,0,0,1,0,2,0,5,0],[0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,2,0,3,0,0],[0,0,0,0,3,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,3,0,4,0,0,0,0,0,0],[0,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0],[0,0,3,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,2,0],[3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,5,0,0,0,2,0,0,2,0,0,0],[0,0,3,0,0,4,0,0,0,0,0,3,0,0,0,0,0,0,3,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,2,0,2,0,3,0,1,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1],[4,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,0,0,0],[3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],] -- [[2,0,2,0,0,1,0,3,0,0,2,0,0,2,0,1,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,3,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,0,0,4,0,0,3,0,0,3,0,0,0,0,0,0],[4,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,3,0,3,0,0,3,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,3,0,0,0],[0,3,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1],[0,0,0,0,7,0,6,0,0,0,0,0,3,0,0,0,0,2,0,0],[4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,2,0,0,8,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0],[0,2,0,1,0,0,0,0,0,1,0,0,0,4,0,5,0,0,0,1],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,2,0],[5,0,0,0,2,0,5,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1],] -- [[1,0,1,0,3,0,3,0,3,0,0,0,1,0,2,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,4,0],[2,0,0,0,0,0,1,0,0,6,0,0,0,0,0,2,0,0,0,0],[0,0,0,3,0,0,0,4,0,0,0,1,0,0,1,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,7,0,0,3,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,4,0,0,4,0,0,0,0,0,2],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,2,0,0,0,0,3,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,3,0,3],[2,0,0,2,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,5,0,0,0,0,0,0],[4,0,0,0,0,0,0,4,0,1,0,2,0,0,0,0,1,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,1,0,0,0,2,0,4,0,0,0,0,0,0,0],[3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,3,0,2,0,3,0,0,2,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,3,0,0,0,0,0,2,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,0,3,0,0,3,0,4,0,0,1,0],[5,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,4,0,0,0,0,0,0,3,0,3,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,3,0,0,1,0],[7,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,2,0,2,0,3,0,0,0,0,0],[1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0],[1,0,0,0,3,0,0,2,0,2,0,0,0,0,0,0,3,0,0,1],[0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],] -- [[1,0,2,0,0,4,0,2,0,0,2,0,0,1,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,2,0,2,0,0,3,0,3,0,0,0,2],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,4,0,0,4,0,0,1,0,3,0,0],[0,0,1,0,8,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0],[0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,3,0,0,1],[0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,3,0,0,0,0,0,0,0,2,0,0,2,0],[5,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,1,0,0,0,0,3,0,1,0,0,0],[0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,3,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,3,0,1,0,1,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2],[3,0,4,0,5,0,0,0,0,5,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,3,0,0,0,2,0,0,0,0,0,1,0,4,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[5,0,4,0,0,1,0,4,0,0,0,1,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,3,0,0,1,0,0,6,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,2,0,5,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,3,0,0],[0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0],[1,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0],[1,0,0,4,0,0,0,0,0,0,7,0,0,0,0,0,3,0,0,0],[0,3,0,0,0,0,0,1,0,8,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0],[0,0,0,1,0,0,7,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,2,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0],[0,1,0,0,2,0,0,0,0,0,0,5,0,0,3,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,8,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,7,0,0,0,0,0,2,0,1,0,3],[0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,2,0,0,0,3,0,0,0,0,3,0,1],[0,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,0],[0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0],[0,0,0,0,4,0,2,0,1,0,0,0,0,0,0,1,0,1,0,1],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,4,0,0,3,0,3,0,0,2,0,0,0,3],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0],[0,0,0,0,4,0,0,4,0,1,0,0,0,0,2,0,0,0,0,3],] -- [[4,0,0,0,2,0,0,2,0,3,0,1,0,2,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,3,0,0,0,2,0,2],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,3,0,0,0,4,0,0,3,0,0,0,0,0,0],[0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,4,0,3,0,0,0,0,0,3,0,5,0,0],[3,0,0,0,3,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0],[12,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,1],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0],[0,0,3,0,0,0,0,0,0,4,0,3,0,0,0,0,0,0,4,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,2,0,0,0,3,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,1,0,3,0,0,0,3,0,0,1,0,2,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,4,0,0,0,0,1,0,5,0,1,0,2,0,0,4,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[3,0,0,0,2,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,4,0,0,1,0,0,3,0,0,0,2,0,0,0,0,0,1,0],[0,0,0,0,0,0,4,0,0,0,1,0,0,0,3,0,0,0,0,0],[3,0,0,3,0,0,0,0,0,2,0,0,0,3,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,3,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,1,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2],[4,0,1,0,4,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,4,0,1,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,1,0,2,0,0,0,5,0,0,0,3],[6,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[4,0,1,0,1,0,1,0,3,0,1,0,3,0,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,2,0,0,0,0,3,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0],[1,0,5,0,0,3,0,0,0,0,3,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,3,0,0,2,0,4,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0],[0,0,0,0,1,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,3,0,0,2,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,8,0,0,0,0,0,0,1,0,5,0,0,3],[0,0,0,7,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[2,0,3,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,3,0,1,0,0],[4,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,1],] -- 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[[3,0,0,0,1,0,3,0,4,0,0,0,0,4,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,1,0,0,0,2,0,0,4,0,0,0,0,2,0,0,0],[0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,4,0,0,0,0],[0,1,0,2,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[2,0,0,0,2,0,1,0,3,0,0,0,0,0,0,0,4,0,0,0],[0,0,6,0,0,0,0,0,0,0,1,0,3,0,0,2,0,0,0,0],[1,0,0,0,0,5,0,0,0,0,0,2,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0],[3,0,0,0,0,0,0,0,1,0,0,0,2,0,3,0,4,0,0,0],[0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,3,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0],[0,0,0,0,1,0,3,0,0,0,2,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,1,0,1,0,0],[2,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,1],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0],[3,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],] -- [[1,0,1,0,3,0,5,0,0,2,0,3,0,0,6,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,3,0,0,2,0,0,2,0,0,0,0,0,0,0,0],[3,0,0,1,0,0,0,1,0,0,3,0,0,1,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,4,0,0,0,0,0,0,1,0,2,0,0,0],[4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,3,0,0,1,0,4,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,2,0],[0,0,0,3,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[1,0,3,0,0,1,0,3,0,0,3,0,1,0,1,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0],[1,0,2,0,0,0,0,2,0,1,0,0,3,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[1,0,0,0,0,1,0,0,0,3,0,0,0,0,2,0,0,0,0,0],[0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,2,0,4,0,1,0,2,0,0,3,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,1,0,4,0,0,1,0,1,0,4,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,6,0,0,0],[4,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,5,0,0,1,0,0,0,0,0,0,3],[4,0,0,0,1,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,1,0,3,0,5,0,0,2,0,0,1,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,3,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0],[5,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,2,0,1,0,0,1,0,0],[0,0,0,1,0,3,0,0,0,0,1,0,0,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0],] -- [[0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,1,0,1,0,4,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,1,0,2,0,3,0,0,0,0],[0,4,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,3,0,0,3],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,5,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,3,0,0,0],[0,2,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,2,0,0,0,0],[0,0,3,0,0,0,2,0,0,2,0,3,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0],[4,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,3,0,3,0,2,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0],[3,0,2,0,0,4,0,0,2,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,3,0,0,0,2,0,0,4,0,2,0,0,4,0,0,2],] -- [[1,0,3,0,0,3,0,5,0,1,0,1,0,5,0,1,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0],[0,3,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0],[5,0,0,0,0,0,0,0,3,0,0,3,0,0,2,0,2,0,0,0],[0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[5,0,0,1,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,2],[0,0,0,0,3,0,0,0,0,0,0,0,1,0,4,0,3,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,4,0,0,0,0,0,1,0,0,0,0,1,0,3],[0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0],[1,0,3,0,0,0,0,0,0,2,0,2,0,1,0,1,0,2,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0],[0,0,0,2,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,2,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,3,0,0,3,0,4,0,0,0,3,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,3,0,0,0,0,0,0,2,0,0,4,0,0,0,0,1,0],[0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,3,0,1,0,0],[4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0],[0,0,0,0,3,0,0,2,0,0,2,0,2,0,3,0,0,0,0,0],[3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,3],[0,0,0,0,1,0,0,0,0,3,0,3,0,0,0,2,0,0,0,0],[9,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,6,0,0],[0,0,0,0,3,0,0,2,0,3,0,2,0,0,4,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0,2,0,2,0,1,0,2,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0],[3,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0],] -- [[1,0,1,0,1,0,2,0,1,0,4,0,0,2,0,5,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,3,0,0,0,1,0,0,0,0,0,0,4,0,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0],[7,0,0,3,0,0,0,1,0,1,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0],[0,0,0,1,0,1,0,4,0,1,0,0,0,1,0,0,0,0,0,0],[0,0,2,0,4,0,0,0,0,0,1,0,2,0,3,0,0,0,5,0],[3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,2,0,0,0,0],[0,0,4,0,0,0,1,0,3,0,0,2,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0],[1,0,3,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,2,0,2,0,0,0,0,0,0,3,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,3,0,1,0,1,0,0,0,0,0,0,1,0,0],[3,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,2,0,0,2,0,1,0,2,0,2,0,0,1,0,2,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,1,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,1,0,5,0,0,0,0,5,0,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[3,0,2,0,0,0,0,0,0,3,0,2,0,0,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,8,0,0,0,0],[0,0,4,0,0,4,0,0,0,0,0,0,3,0,0,0,0,0,2,0],[7,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,3,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,5,0,1,0],[6,0,3,0,0,0,0,0,0,0,0,5,0,0,6,0,0,0,0,0],[0,0,0,0,2,0,5,0,0,7,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0],[3,0,0,1,0,4,0,0,0,0,0,0,0,5,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,6],[0,0,0,0,0,0,0,0,2,0,0,3,0,0,2,0,0,9,0,0],[0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,3,0,1,0,1,0,2,0,0,0,1,0,0,0],[0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,3,0,0,0,2,0,2,0,2,0,0,0,0,0,1],[0,0,0,4,0,0,0,2,0,0,1,0,0,0,0,3,0,4,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,3,0,0,0,0,0,0,6,0,0,4,0,0,4,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1],[0,2,0,2,0,1,0,0,0,1,0,0,3,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,2,0,0,2,0,3,0,1,0,1,0,0,2,0,3,0,0,0],] -- [[0,0,2,0,0,0,1,0,1,0,0,3,0,0,0,1,0,1,0,1],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,3],[0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,0,1,0,0,0,0,0,0,2,0,0,2,0,3],[0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,4,0,0,0,0,2,0,0,2,0,0],[0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,4],[0,0,1,0,4,0,0,0,1,0,1,0,0,0,2,0,0,2,0,0],[0,1,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,3,0,0],[2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,1,0,1,0,0,0,0,0,0,6,0,1,0,0,1,0,0],[0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,7,0,0,3],[0,1,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,4,0,0,0,3],[0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0],] -- [[2,0,0,2,0,0,2,0,1,0,1,0,1,0,3,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,1,0,2,0,4,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[1,0,4,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,2,0,0,0],[6,0,0,0,0,1,0,4,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,0,0,2,0,2,0,2,0,0,2,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,4,0,4,0,0,0,2,0,3,0,0,0,3,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0],[4,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,2,0,3,0,3,0,0,0,1,0,0,1,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,5,0,0,1,0],[0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0],] -- [[3,0,2,0,0,4,0,3,0,0,1,0,1,0,1,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,1,0,3,0,3,0,0,3,0,3,0,0,3],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,7,0,0,0,0,0,4,0,0,0,0,3,0,5,0,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0],[3,0,0,0,0,0,0,0,2,0,1,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0],[1,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,6,0,0,3,0,0,1,0,0,0,3,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,0],[0,3,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,3,0],[2,0,0,2,0,0,3,0,2,0,0,3,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,3,0,0,2,0,3,0,0,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0],] -- [[2,0,1,0,1,0,3,0,2,0,0,1,0,1,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,0,0,2,0,1,0,2,0,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0],[2,0,3,0,0,1,0,0,0,1,0,0,2,0,0,3,0,0,1,0],[0,0,0,0,0,0,3,0,0,0,3,0,0,0,4,0,0,0,0,0],[0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0],[2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,5,0,0,2,0,0,0,4,0,0,0,3,0,0],[0,2,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1,0,3,0],[0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,3,0,3,0,0,2,0,0,4,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,3,0,2,0,0,2,0,0,0,3,0],[0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1],] -- [[2,0,3,0,0,3,0,3,0,3,0,0,0,6,0,2,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0],[3,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,1,0],[2,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,8,0,0,0,0,1,0,0,0,0,0,1,0,1],[0,5,0,0,0,6,0,0,0,0,3,0,2,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,1,0,0],[3,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0],[0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,6,0,0,0,0,6,0,0,0,0,0,0],[3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,3,0,0,3],[3,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,3,0,0,4,0,0,0,3,0,0,5,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,0,0,1,0,0,4,0,1,0,0,0,0],[0,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,3,0,0,1],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,3,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,8,0,0,0,0,6,0,0,0,0,2,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,3,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,2,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,4,0,0,0,0,2,0,2,0,0],[0,0,0,4,0,0,0,9,0,0,0,0,0,3,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,4,0,0,0,0,0,1,0,7,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[3,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],] -- 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[[3,0,0,0,1,0,4,0,0,0,8,0,2,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,1,0,1,0,0,0,0,0,0,3,0,0,0,3,0,0,1],[0,0,0,0,3,0,5,0,1,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0],[0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,2],[0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,3,0,0,0,4,0,0,3,0],[0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,2],[2,0,0,1,0,0,0,1,0,0,0,8,0,0,0,3,0,0,0,0],[0,0,3,0,3,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0],[3,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2],[0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,2,0,1,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[2,0,0,1,0,3,0,0,1,0,2,0,2,0,0,4,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,2,0,0,1,0,3,0,1,0,1,0,3,0,0,0,2,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,3,0,3,0],[0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0],[2,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,4,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3],[1,0,0,0,0,2,0,0,3,0,0,1,0,1,0,3,0,0,0,0],[0,3,0,0,5,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4],[0,0,1,0,2,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0],[0,3,0,0,0,2,0,1,0,2,0,3,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,6,0,0],[0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,4,0,0,0,1,0,0,0,0,0,4,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,4,0,0,0,2,0,0,2,0,0,2,0,3,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0],[0,4,0,2,0,0,0,3,0,0,0,0,0,2,0,0,0,0,3,0],[0,0,2,0,0,0,0,0,3,0,0,1,0,0,0,3,0,0,0,0],[4,0,0,0,3,0,0,7,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,2],[0,0,0,0,0,1,0,0,0,0,3,0,0,2,0,0,0,0,0,0],[1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0],[2,0,0,0,3,0,0,2,0,0,0,0,3,0,1,0,1,0,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0],[0,2,0,2,0,0,2,0,0,0,0,4,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,3,0,0,0,0,2,0,0,0,2,0,0,1,0,0],[6,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,3,0],[0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[2,0,0,3,0,0,4,0,0,0,2,0,1,0,3,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,2,0],[0,0,3,0,3,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,4,0,0,0,0,3,0,0,1,0,3,0,0],[0,0,0,0,3,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0],[7,0,1,0,1,0,0,1,0,0,0,1,0,0,0,4,0,0,2,0],[0,0,0,3,0,0,3,0,0,0,2,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0],[0,0,1,0,1,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0],[3,0,0,1,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,2,0,1],[0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0],[0,6,0,0,0,0,1,0,0,0,2,0,1,0,0,0,2,0,2,0],[0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,2,0,1,0,2,0,6,0,4,0,0,5,0,4,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0],[0,0,3,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,3],[4,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,1,0,3,0,1,0,2,0,0,0,2,0,5,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,3,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,0,2,0,1,0,4,0,0,0],[1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0],[0,3,0,0,3,0,0,0,0,0,0,1,0,3,0,0,0,1,0,1],[0,0,0,0,0,0,0,3,0,5,0,0,0,0,0,0,0,0,2,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,1,0,0,0,0,0,3,0,0,0,3,0,0,0,0,2,0,1],[3,0,0,1,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0,0,2,0,0,0,4,0,0,1,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[1,0,1,0,2,0,0,3,0,0,0,2,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,3,0,4,0,0,1,0,6,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0],[2,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,2,0,0,0,0,2,0,0,3,0,0,0,1,0,0,4,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0],[3,0,0,0,0,1,0,2,0,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,3,0],[2,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,3,0,0,2,0,0,3,0,2,0],[0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[1,0,3,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,4,0],[3,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,3,0,0],[0,0,0,3,0,0,0,0,0,1,0,1,0,0,9,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- 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[[3,0,0,0,3,0,0,4,0,1,0,1,0,1,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,2,0,1,0,1,0,2,0,2,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,4,0,0,0,0,0,0,1,0,0,3,0,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,1,0],[1,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,2],[0,3,0,0,4,0,0,0,0,0,3,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,3,0,0,0,0,4,0,0,4,0,0,4,0,0,3,0,0],[0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0],[0,0,3,0,0,0,0,0,2,0,2,0,0,0,3,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0],[0,0,0,2,0,2,0,4,0,0,0,0,0,0,0,0,0,0,3,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,1,0,1,0,5,0,0,1,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[4,0,0,1,0,3,0,2,0,4,0,0,2,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,4,0,0,0,1,0,1],[4,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,2,0,0,1,0,3,0,1,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,0,0,1,0,0,0,4,0,0,1,0,0,0,3,0],[0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,4,0,0,3],[4,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0],[2,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,3,0,0,1,0,2,0,0,3],[0,1,0,2,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,1,0,0],[4,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,2,0,3,0],[0,0,0,0,1,0,4,0,3,0,3,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1],] -- [[1,0,2,0,2,0,0,1,0,2,0,3,0,4,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,3],[0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,1,0,0,3,0,0,1,0,3,0,5,0,0,0],[4,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,2],[0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,5,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0],[1,0,4,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0],[0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,4,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,3,0,4,0,0,0,0,0,0,3,0,0,0],[3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,1,0,8,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,4,0,0,0,2],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0],] -- [[0,0,2,0,0,3,0,2,0,0,0,3,0,0,2,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,3,0,2,0,4,0,0,2,0,0,2,0,0,8],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[4,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,2,0,3,0,0,0,0,1,0,1,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0],[0,0,0,5,0,0,0,0,8,0,3,0,3,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0],[0,4,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,4,0,0,0,0],[0,0,1,0,0,0,0,0,0,4,0,0,4,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0],[0,4,0,3,0,0,5,0,0,0,0,0,0,8,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,5,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[2,0,0,2,0,0,1,0,3,0,0,0,2,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,5,0,0,1,0,1,0,2,0,2,0,2,0,3],[0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,5,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,3,0,0,0,1,0,0,0,0,5,0,0,1,0,0,0,0,1],[0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,2,0,0,0,0],[0,0,2,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,4,0,0,2,0,6,0,0,0],[2,0,0,1,0,0,0,2,0,0,4,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,9,0,0,0,1,0,1,0,0,0,3],[0,0,0,2,0,0,3,0,0,0,0,1,0,0,1,0,4,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,4,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,5,0,0,1,0,0,0,0,5,0,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[6,0,1,0,3,0,0,1,0,4,0,0,2,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,2,0,2,0,0,1,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0],[0,0,0,2,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,3,0,0],[1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[3,0,0,0,0,0,1,0,0,0,3,0,0,3,0,1,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,1],[2,0,1,0,0,0,1,0,0,3,0,1,0,0,0,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,0,0,0,6,0,0,1,0,1,0,0],[0,1,0,0,0,0,4,0,0,0,0,1,0,0,0,0,2,0,4,0],[0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0],[0,2,0,2,0,1,0,0,0,0,0,0,1,0,0,4,0,0,0,1],[0,0,0,0,0,0,3,0,3,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,2,0,0,1,0],[3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1],] -- [[3,0,0,0,7,0,2,0,0,2,0,2,0,3,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,2,0,0,0,0,1,0,0,3,0,1,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,1,0],[2,0,0,1,0,0,0,2,0,0,0,0,4,0,0,0,0,2,0,0],[0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0],[3,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,4,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,1,0,3,0,1,0,3,0,0,0,1,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[2,0,0,1,0,0,0,3,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,2,0,0,0,1,0,0,1,0,3,0],[3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,4,0,0,3,0,0,2,0,1,0],[0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0],[0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- 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[[4,0,3,0,0,1,0,1,0,3,0,0,0,3,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,3,0,0,3,0,5,0,0,1,0],[0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,1,0,2,0,2,0,0,0,3,0,0,0,0,0],[2,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,4,0,0,0],[6,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,3,0],[0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,4,0,0,2,0,0,4,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0],[0,0,4,0,0,1,0,0,0,0,0,0,0,4,0,1,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,5,0],[0,0,5,0,0,0,0,1,0,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,1,0,2,0,0,1,0,0,0],] -- [[1,0,3,0,3,0,0,5,0,0,2,0,0,2,0,3,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,4,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,2,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0],[0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,2,0,6,0,0,0,1,0,1,0,2,0],[2,0,5,0,1,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0],[0,0,0,0,0,5,0,1,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,1,0,0,2,0,0,0,0,0,3,0,0,3,0,0,0,0,5,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,7,0,0,0,2,0,0,2,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[1,0,0,0,0,5,0,0,0,1,0,0,0,1,0,1,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,3,0,3,0,0,0,3,0,0,3],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0],] -- [[1,0,3,0,2,0,0,1,0,2,0,3,0,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,6,0,0,0,0,0,0,3,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,1,0,1,0,0,0,0,0,0,2,0,0,0,4,0,0,0,0,0],[0,0,0,0,4,0,0,1,0,0,0,0,2,0,0,0,4,0,0,0],[1,0,1,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,2],[0,1,0,2,0,4,0,1,0,0,0,0,0,2,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0],[0,0,0,0,1,0,1,0,0,0,0,0,3,0,2,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,7,0,0,0],[0,0,0,3,0,0,3,0,0,4,0,0,0,0,4,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,3,0,0,0,0,1,0,4,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,3,0,0,0,0,0,0,5,0,0,1,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,0,1,0,1,0,2,0,0,3,0,0,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,3,0,0,1,0,7,0,0,0,0,0,0,0,5,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0],[0,0,0,3,0,0,3,0,0,0,0,0,3,0,2,0,0,0,2,0],[1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,2,0,0,0,0],[5,0,2,0,0,0,0,0,0,0,0,3,0,2,0,0,0,3,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,3,0,0,3,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,4],[1,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,2,0,0,2,0,0,3,0,0,1,0,0],[0,0,0,3,0,3,0,0,0,0,1,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,1,0,1,0],[0,0,4,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,3],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],] -- [[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,5,0,0,0,0,0,0,9,0,0,4,0,0],[0,0,0,6,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2],[0,0,3,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,2,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,4,0,3,0,0],[0,0,0,3,0,2,0,0,0,0,0,0,3,0,1,0,0,0,0,0],[2,0,1,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,3,0,3,0,0,3,0,1,0,0,4,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0],[0,1,0,1,0,0,0,0,7,0,0,0,2,0,0,0,0,3,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,2,0,1,0,2,0,1,0,2,0,3,0,0,0,3],] -- [[3,0,0,0,4,0,0,0,2,0,0,3,0,1,0,4,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0],[0,9,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,5,0,0,0,1,0,0,0,3,0,0,0,3,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,2,0,0,0,0,1,0,1,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,2,0,0],[1,0,1,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,4],[0,1,0,2,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,5,0,0],[7,0,2,0,2,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0],[0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,1,0,0,3,0,0,0,1,0,0,0,0,1,0,3,0,0,0],[3,0,0,1,0,0,0,4,0,0,0,3,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- [[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,3,0,4,0,3],[0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,6,0,0,0,2,0,0,0],[2,0,0,3,0,0,6,0,2,0,0,0,0,0,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1],[0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,3,0,4,0,0],[0,5,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,2,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,3,0,0,7,0,0,0,4,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0],[0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,4,0,0,0,0,8,0,2,0,0,0,1,0,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,1,0,0,3,0,3,0,1,0,0,4,0,1,0,2],] -- 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[[1,0,4,0,0,0,1,0,2,0,0,6,0,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,3,0,1,0,6,0,0,0,0,0,3,0,0,0,4],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[0,0,0,0,0,2,0,3,0,0,0,0,0,2,0,0,1,0,0,0],[3,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,2,0,0,0,4,0,0,0,0,0,0],[2,0,0,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0,0,2],[0,0,1,0,1,0,0,0,3,0,5,0,0,2,0,0,3,0,0,0],[0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[3,0,0,0,1,0,7,0,0,0,3,0,1,0,2,0,0,0,0,0],[0,0,0,4,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,2,0,0,2,0],[2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],] -- 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[[3,0,0,0,2,0,1,0,1,0,3,0,0,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,7,0,0,2,0,3,0,1,0,1,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,6,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,8,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0],[0,0,2,0,4,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,3,0],[2,0,0,1,0,3,0,4,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,3,0,0],[3,0,8,0,0,0,0,0,2,0,4,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,4],[5,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0],] -- [[1,0,2,0,1,0,1,0,2,0,2,0,0,2,0,1,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,3,0,3,0,1,0,0,2,0,4,0,0,0],[0,0,3,0,6,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[3,0,0,0,0,0,1,0,1,0,2,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,2,0,0,0,0,3,0,1,0,3,0,2,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,2,0,2],[2,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0],[0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0],[1,0,0,0,6,0,1,0,2,0,0,2,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0],[1,0,4,0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[5,0,0,0,1,0,0,2,0,0,0,0,5,0,0,0,1,0,0,0],[0,0,0,0,0,2,0,0,0,3,0,0,0,0,1,0,0,4,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],] -- [[0,0,2,0,1,0,0,0,0,0,3,0,0,0,0,3,0,1,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,1,0,3,0,3,0,0,3,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,6],[0,0,0,0,0,0,0,0,0,6,0,0,0,2,0,0,0,3,0,0],[1,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,2,0,0,3,0,0,0,0,7,0,0,0,0,4,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,2,0,0],[0,1,0,3,0,0,0,0,6,0,0,0,1,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,2,0,0,0,1,0,1,0,0,0,4,0,1,0,0,0,0,1],[0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,1],[0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0],[4,0,3,0,0,3,0,0,0,0,3,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,2,0,0,0,0,0,0,3,0,0,2,0,4,0,3],] -- [[2,0,3,0,0,0,3,0,5,0,0,0,4,0,0,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,0,0,1,0,0,4,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[1,0,2,0,0,4,0,0,3,0,0,2,0,0,0,0,0,3,0,2],[0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[3,0,0,1,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,0,2,0,2,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,0,4,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0],[1,0,2,0,0,0,5,0,1,0,3,0,0,0,0,0,1,0,3,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,4,0,2,0,0,4,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,3,0,4],[0,6,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0],[1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[0,4,0,3,0,0,3,0,0,1,0,4,0,2,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,3,0,3,0,0,0,0,2,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,1,0,0,0,1,0,5,0,0,3,0,0],[0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,3,0],[0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,3,0,0,1,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0],[2,0,0,0,1,0,0,2,0,0,0,0,7,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,6,0,5,0,0],[3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,7,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,4],[4,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0],[0,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0],] -- 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[[1,0,2,0,1,0,1,0,2,0,0,3,0,0,0,1,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,3,0,0,3,0,2,0,3,0,4,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[3,0,0,3,0,0,0,3,0,4,0,3,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,7,0,0,4,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,3,0,5,0,0],[0,0,1,0,2,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0],[3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,3,0,0,1,0,2,0,1,0,0,0,1,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,1],[0,1,0,0,0,0,0,3,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1],] -- [[0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,1,0,0,0,3,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,3,0,2,0,0,3,0,0,0,2,0,2,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,6,0],[0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,2],[1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,1,0,6,0,0,0,2,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,3,0,2,0,2,0,0,0,3,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3],[3,0,0,0,3,0,1,0,1,0,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[1,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,2],[0,0,0,0,0,0,0,5,0,3,0,0,0,0,0,3,0,0,0,0],[0,1,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,3,0,3,0,1,0,0,3,0,0,7,0,2,0,7],] -- [[3,0,0,0,1,0,1,0,2,0,0,1,0,2,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,4,0,0,2,0,0,1,0,0,1,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[1,0,2,0,3,0,0,0,1,0,0,0,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,2,0,4,0,1,0,1,0,0,0,2,0,0],[3,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,3,0,2,0,0,4,0,1,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,2],[0,0,6,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0],[5,0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,0,3,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,1,0,3,0,1,0,0,0,0,0,0],[0,0,3,0,0,0,3,0,2,0,0,0,0,0,1,0,4,0,0,0],[4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,3,0,0,0,1,0,3,0,0],[0,0,0,1,0,0,0,3,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,3,0,0,2,0,3,0,0,2,0,3,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,1,0,1,0,1,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,3,0,0,0,0],[1,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,3,0],[0,1,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,2,0,3,0,0],[2,0,0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,0,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,1,0],[1,0,3,0,0,0,0,0,0,1,0,1,0,3,0,0,1,0,0,1],[0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,3,0,0,0,6,0,0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,7,0,0,0,0,3,0,7,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0],] -- [[0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0],[0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0],[1,0,2,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,1,0],[0,0,0,0,0,7,0,0,0,0,0,3,0,0,0,4,0,1,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3],[0,0,0,0,0,0,3,0,0,1,0,2,0,0,0,0,0,2,0,0],[0,0,2,0,3,0,0,0,3,0,0,0,0,0,3,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4],[2,0,0,3,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,1,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,1,0,1,0,0,0,1,0,0,3,0,0,1,0,0,4,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,9,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,7,0,0,0,3,0,0,3],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,3,0,2,0,0,0,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,2,0,2,0,1,0,4,0,1,0,0,0,3,0,4],] -- [[2,0,0,1,0,1,0,3,0,3,0,0,1,0,2,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,5,0,0,0,0,1,0,3,0,0,0,0,0,0,2,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,3,0,1,0,3,0,2,0,0],[2,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,1,0,4,0,0,0,2,0,1,0,3,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[3,0,0,3,0,0,0,2,0,2,0,1,0,3,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,3,0,1,0,0,3,0,0,2,0,0,0,0],[0,0,5,0,0,0,0,0,0,0,6,0,0,0,0,0,0,2,0,0],[3,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,3,0,0],[4,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,3,0,3,0,0,0,3,0,0,3,0,0,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,1,0,0,1,0,3,0,0,0,3,0,0,0],[2,0,0,1,0,0,3,0,0,2,0,2,0,0,0,1,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[1,0,0,0,0,1,0,2,0,0,3,0,0,0,0,0,0,1,0,2],[0,2,0,2,0,0,1,0,0,0,0,0,0,6,0,0,2,0,0,0],[0,0,0,0,0,2,0,7,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,3,0,0,0,0,0,0,0,2,0,2,0,2,0,0,0,0,0],[4,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,2,0,4,0,0,7,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,2,0],[0,0,0,4,0,0,0,0,1,0,0,0,2,0,1,0,3,0,0,0],[0,1,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- 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[[1,0,4,0,1,0,2,0,2,0,0,1,0,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,4,0,6,0,0,1,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,3,0,0,0],[1,0,4,0,0,3,0,0,0,0,2,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,1,0,1,0,1,0,3,0,3,0,0,1,0,0,0,2,0],[0,0,1,0,2,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,2,0,2,0,2],[0,2,0,1,0,2,0,3,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,0,3,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0],[5,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,1,0,1,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[4,0,0,0,0,3,0,2,0,0,1,0,2,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,4,0,0,0,0,1,0,2,0,0,0,1,0,1,0,2,0,3],[0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0],[0,4,0,0,0,3,0,0,0,3,0,0,1,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,1,0,2,0,0,0,0,0,3,0,0,1,0,0,0,0],[2,0,2,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0],[0,3,0,0,0,0,2,0,0,0,0,0,1,0,0,4,0,0,0,3],[0,0,0,0,0,0,0,0,5,0,0,2,0,2,0,0,0,4,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,1,0,1,0,0,0,0,3,0,0,0,0,0],[0,1,0,2,0,0,0,0,0,0,2,0,4,0,0,0,0,0,0,4],[0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,1,0,0,0,0],[4,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,1,0,0,0,0,0,4,0,0,0,0,4,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],] -- [[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,3,0,1,0,1],[0,0,0,3,0,0,0,0,3,0,0,0,1,0,0,0,1,0,0,0],[3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,3],[0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1],[0,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,4,0,1,0,0,0,0,2,0,0,1,0,0,3,0,0,0,7],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,1,0,0,2],[0,0,0,5,0,0,0,0,0,0,0,0,4,0,0,4,0,0,0,0],[1,0,0,0,0,2,0,2,0,0,2,0,0,0,0,0,0,0,0,1],[0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,2,0,1,0,0,0,0,2,0,2,0,1,0,0,0],[0,0,0,3,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,2,0,3,0,0,0,0,1,0,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,3,0,0,3,0,0,0,5,0,0,0,7,0,2,0,1],] -- [[2,0,0,1,0,1,0,1,0,2,0,2,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,2,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0],[0,0,0,1,0,0,0,2,0,1,0,1,0,0,6,0,0,0,0,0],[0,3,0,0,3,0,1,0,3,0,0,0,2,0,0,0,2,0,4,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1],[0,3,0,3,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,2,0,2,0],[0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,4,0,0,0,2,0,0,2,0,0,0,0,0,3,0,0],[5,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0],[1,0,0,4,0,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0],[0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,3,0,0,1,0,0,3,0,0,0],[2,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,0,1,0,4,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,2,0,2,0,1,0,1,0,4,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,1,0,1,0,2,0,0,7,0,0,2,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[4,0,0,0,5,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,1,0,0,0,0,0,0,3,0,0,0,0,2,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,5,0,0,0,1,0,4,0,2,0,0,1,0,0,0,2,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2],[0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,1,0,5,0,0,3,0,1,0,2,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,3,0,0,0,1,0,8,0,1,0,0,0,3,0,3,0,0],[1,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,2,0,0,0,0,1,0,1,0,0,0,3,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0],] -- [[4,0,0,1,0,2,0,0,1,0,1,0,1,0,4,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,1,0,3,0,3,0,0,2,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,1,0,6,0,3,0,0,9,0,0,0,0,3,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1],[4,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,2,0],[0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,1,0,2,0,0],[1,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,1,0,0,0,0,0,0,3,0,2,0,0,0,0,0],[2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,1,0,3,0,0,0,0,5,0,0,1,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,2],[1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],] -- [[3,0,0,0,2,0,2,0,0,2,0,0,1,0,2,0,0,4,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[7,0,0,0,0,1,0,1,0,1,0,2,0,0,3,0,0,0,0,1],[0,0,0,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,0],[0,0,0,0,3,0,1,0,0,0,4,0,0,0,0,0,0,1,0,0],[2,0,0,0,0,0,0,7,0,0,0,0,0,4,0,0,4,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,2,0,1,0,4,0,0,0,0,0,0],[5,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,1,0],[0,0,0,0,4,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0],[3,0,1,0,0,0,4,0,0,3,0,0,0,0,1,0,0,1,0,0],[0,0,0,1,0,0,0,0,0,0,0,5,0,4,0,1,0,0,0,0],[0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- 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[[0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0],[0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,2,0,0,1],[0,1,0,0,0,0,4,0,0,0,0,1,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,1,0],[0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,7,0,0],[0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,1,0,2,0,0,0,0,0,0,3,0,0,0,0,4],[0,0,0,0,0,0,0,0,1,0,2,0,5,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,3,0,2,0,1,0,0,0,4,0,0,0,3,0,0,0],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,4],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,1,0,0,0,4,0,3,0,3,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,2,0,1,0,0,2,0,0,2,0,1,0,2,0,1,0,1],] -- [[0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,3,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,1],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,3,0,3,0,5,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0],[0,0,2,0,3,0,0,0,0,0,0,4,0,1,0,2,0,0,0,0],[2,0,0,0,0,1,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,3,0],[0,6,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0],[0,2,0,0,7,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0],[2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,4,0,1,0,2,0,2,0,3,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,2,0,0,0,0,0,2,0,2,0,6],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,3,0,0,0,2,0,2,0,0,5,0,0,2,0,0,2,0],] -- [[0,1,0,3,0,1,0,0,3,0,2,0,0,2,0,7,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,11,0,2,0,1,0,0,0,1,0,3],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0],[0,0,3,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0],[3,0,3,0,1,0,0,0,0,0,0,0,2,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,3,0,1,0,0,0,0,0,3],[0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,2,0,0,0],[0,0,1,0,0,4,0,1,0,0,2,0,0,0,1,0,0,2,0,0],[0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,3],[0,0,2,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,3,0,0,3,0,0,4,0,2,0,1,0,0],[0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0],[0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,4],[0,0,1,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0],] -- [[4,0,0,2,0,1,0,4,0,0,0,2,0,2,0,7,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0],[4,0,0,6,0,0,2,0,1,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,3,0,0,0,0,0,0,1,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,4,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0],[0,0,0,0,0,0,3,0,0,3,0,2,0,0,0,0,0,0,0,0],[1,0,5,0,0,0,0,0,0,0,0,0,0,4,0,0,0,3,0,0],[0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0],[0,0,0,0,1,0,2,0,1,0,2,0,0,2,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,2,0,0],[3,0,0,1,0,2,0,2,0,0,0,1,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,2,0,6,0,0,0,1,0,0,0],[0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[3,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,1,0,1,0],[0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,3,0,0,0,4,0,0,0,2,0,1,0,0,0,4,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[7,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,0],[3,0,2,0,0,0,1,0,3,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,2,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,1,0,3,0,0,0,0,0,5,0,0,2,0,0],[2,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,3,0,0,3,0,0,1,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[2,0,0,5,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,2],[0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,7,0,0,0,0,0,2,0,0,1,0,0,0,3,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,6,0,0],[2,0,0,0,0,1,0,0,0,0,3,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0],] -- [[2,0,0,2,0,2,0,0,2,0,1,0,2,0,4,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,3,0,0,0,0,0,0,3,0,5,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0],[1,0,4,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2],[0,1,0,0,0,0,0,0,2,0,3,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[5,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,2,0,0,1,0,0,0,0,0,2,0,2,0,0],[3,0,0,0,0,3,0,0,1,0,2,0,0,0,0,0,0,0,0,2],[0,0,4,0,0,0,0,2,0,0,0,0,2,0,2,0,5,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[1,0,3,0,4,0,0,0,6,0,0,2,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1],[1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,2,0,1,0,0,2,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- [[3,0,0,0,1,0,1,0,2,0,0,3,0,1,0,2,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,3,0,11,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,5,0,0,4],[0,0,0,0,5,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,3,0,1,0,0,2,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0],[0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,2],[0,0,0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,3,0,0],[2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,4,0,0,1,0,0,2,0,1,0,3,0,0,0,0,0],[1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0],[3,0,0,0,0,0,0,7,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,7,0,0,2],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1],] -- 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[[1,0,1,0,1,0,1,0,1,0,2,0,0,1,0,2,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,1,0,1,0,1,0,2,0,1,0,3,0,0,1,0,1,0],[0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,3,0],[3,0,0,3,0,0,1,0,1,0,0,0,3,0,2,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0],[0,0,0,0,0,1,0,3,0,0,1,0,1,0,0,0,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,2,0,2,0,1,0,1,0,1,0,0,0,0,0],[1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,3,0,0,0,0,0,0,1,0,3,0,0,3,0,0,0],[1,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,3],[0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,3,0,0,0],[1,0,4,0,0,1,0,0,0,0,0,4,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1],] -- [[2,0,0,3,0,0,2,0,0,1,0,3,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,5,0,5,0,0,3,0,0,2,0,0,2,0,0,1],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,4,0,0],[2,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0],[3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,5,0,0,2,0,0,0],[3,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,6,0,0,0,4,0,0,0,4,0,0,0,4,0],[0,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,4,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0],[5,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,3,0,2,0,0,2,0,2,0,1,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1],] -- [[1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3],[0,0,0,0,4,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,0,1,0,0,0,4,0,0,0,2,0,0],[0,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,1,0,1,0,0,0,0,3],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,2,0,0,3,0,0,0,2,0,2,0,0,0,2,0,0,0,0],[0,3,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0],[0,0,1,0,0,1,0,0,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,0,2],[0,0,0,2,0,1,0,0,4,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2],[0,4,0,0,0,4,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[2,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,10,0,1,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,7,0,0,0,3,0,0,2,0,1,0,0,3,0,2],] -- [[1,0,2,0,0,2,0,1,0,2,0,0,4,0,0,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,3,0,3,0,0,0,4,0,0,1,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,2,0,2,0],[9,0,2,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,2,0,4,0,0],[0,0,0,1,0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,3,0,0,0,3,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0],[0,0,2,0,4,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3],[0,0,0,1,0,1,0,0,0,2,0,0,4,0,0,0,0,3,0,0],[0,0,3,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,2,0,1,0,0,2,0,4,0,0,0,1,0],[0,0,0,0,3,0,0,0,0,0,5,0,0,0,0,0,4,0,0,0],[3,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0],] -- [[1,0,2,0,3,0,0,2,0,3,0,0,0,1,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,1,0,3,0,2,0,0,1,0,0],[0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,3,0,0,0,0,1,0,1,0,0,0],[3,0,0,5,0,0,4,0,0,0,0,0,0,3,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,8,0,0],[1,0,1,0,2,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,2,0,0,0,0,0,0,2,0,3,0,1,0,0,0,0,2,0,3],[0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,2,0,0,3,0,0,1,0,1,0,0,0,0,2,0,0],[0,0,0,3,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0],[0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,6,0,3,0,1,0,0,0,3,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,1,0,2,0,0,3,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0],] -- [[2,0,1,0,4,0,0,0,1,0,2,0,0,3,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,2,0,4,0,3,0,1,0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,5,0],[1,0,0,7,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,5,0,0,3,0,0,3,0,0,0,0,3],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,3,0,0,0],[4,0,0,0,0,0,3,0,0,0,0,1,0,0,2,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,1,0,3,0,0,0,2,0,2,0],[0,0,1,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0],[0,3,0,0,0,2,0,0,0,0,0,0,0,9,0,2,0,2,0,2],[0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,5,0,4,0,0,0,0,0,0,0,4,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,3,0,1,0,2,0,0,1,0,3,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,3,0,0,0],[0,0,0,2,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,4,0,3,0,0,0,0,1,0],[0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,3,0,0,2,0,0,1,0,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,3,0,0,6,0],[0,3,0,0,0,3,0,0,0,0,0,2,0,0,1,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,4,0,0,0,0,2,0,0,3,0,0],[1,0,0,0,5,0,0,0,0,0,0,4,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2],[2,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,4,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0],[0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3],[0,0,0,0,0,0,4,0,0,2,0,0,0,0,0,2,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0],[0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,7,0,2,0,0],[0,0,0,0,3,0,2,0,3,0,0,0,0,0,0,0,1,0,0,0],[4,0,0,2,0,0,0,0,0,0,2,0,0,3,0,0,0,1,0,3],[0,0,0,0,0,3,0,2,0,1,0,0,3,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,3],[0,0,0,0,0,0,3,0,0,0,0,5,0,1,0,0,0,0,0,0],[0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0],[0,1,0,0,4,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,4,0,4,0,3,0,2,0,1,0,0,0,3,0,4],] -- [[2,0,0,3,0,0,3,0,1,0,3,0,0,1,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,1,0,1,0,1,0,7,0,0,1,0,0],[0,0,0,0,0,3,0,1,0,0,0,0,0,3,0,0,0,0,3,0],[0,7,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,2,0,3,0,3,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,1,0,0,3,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,2,0,6,0,0,1,0,1,0],[1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,6,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,1],[4,0,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,0,2,0,0,4,0,0,0,0,0,1,0,3,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,2,0,0,4,0,0,0,0,0,1,0,3,0,2,0],[3,0,0,5,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],] -- [[0,0,2,0,0,3,0,0,0,0,0,2,0,0,0,3,0,8,0,3],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,3,0,0,0,4,0,0,0,3,0,1],[0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,5,0,1,0,0,0,3,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,3,0,3,0,1],[0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,6,0,4,0,0,0,1,0,0,0,6,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0],[2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,6,0,3],[0,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,1],[0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,4],] -- [[1,0,1,0,3,0,0,2,0,0,1,0,4,0,0,1,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,3,0,4,0,4,0,0,0,0,0,5,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[12,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,2,0,0],[3,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,7,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,1],[0,0,0,0,0,5,0,0,3,0,1,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,3,0,0],[3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,2,0,0,1,0,4,0,0,3,0,0],[0,0,6,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1],[1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,4,0,0,0,3,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,0,0,2,0,0,2,0,3,0,0,3,0,0,1,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,2,0,1,0,4,0,0,0,2,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,5,0,0,0,0,0,0,0,1,0,1,0,1,0,1],[0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[1,0,0,4,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,1,0,0,8,0,0,3,0,0,0],[0,0,0,0,3,0,8,0,0,2,0,2,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,3,0,0,0,0,2,0],[0,0,0,0,4,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0],[0,2,0,2,0,2,0,0,0,0,0,0,2,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,5,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,2,0,2,0,0,3,0,0,0],[3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[2,0,0,3,0,0,1,0,1,0,5,0,1,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,3,0,2,0,0,2,0,0,0,0,1,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,1],[3,0,0,0,4,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,5,0,0,0,0,0,3,0,2,0,1,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,0,0,0,1,0,0,3,0,1,0,0],[0,0,0,0,2,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0],[2,0,0,2,0,4,0,6,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0],[4,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,3,0,3,0,0,0,1,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0],[0,0,0,0,0,0,2,0,0,4,0,0,0,0,1,0,0,0,0,0],[2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0],] -- [[9,0,2,0,4,0,0,0,2,0,2,0,3,0,2,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,2,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,3,0,4,0,0,0,0,2,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,1,0,3,0,0,2,0,0,0,4,0,0,1],[5,0,0,1,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,2,0,2,0,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,4,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0],[1,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,3,0,0,0,0,1,0,0,6,0,4,0,0,0,2],[0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[2,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- 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[[1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,3,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,1,0,0,0,4,0,2,0,0,0,3,0,0,0,0,0,3,0,0],[0,0,0,0,8,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0],[0,0,0,2,0,2,0,2,0,0,0,5,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,8],[0,2,0,1,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,3,0,1,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0],[0,0,0,3,0,0,0,4,0,2,0,0,0,0,1,0,0,2,0,2],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,1,0,0,2,0,2,0,0,3,0,3,0,2,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,2],[1,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,3,0,3,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,5,0,1,0,0,3,0,0,2,0,0,3,0,0,2],] -- [[3,0,3,0,2,0,0,2,0,0,2,0,1,0,2,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,3,0,3,0,0,0,1,0,4,0,0],[0,0,0,1,0,6,0,0,0,0,0,0,0,0,4,0,0,0,0,3],[2,0,4,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,9,0,0,0,0,0,0,5,0,1,0,3,0,0,0,3,0,2],[0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[6,0,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,2,0,6,0,0,0,0,1,0,0,0],[0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,2,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,5,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0],[2,0,0,3,0,0,0,0,1,0,0,1,0,3,0,0,2,0,2,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,3,0,0,0],] -- [[1,0,2,0,6,0,0,0,3,0,2,0,0,2,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,2,0,3,0,0,3,0,1,0,0],[0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,1,0,2,0,3,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,1,0,1,0,4,0,0,1],[0,0,0,0,0,0,3,0,0,3,0,0,0,7,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,0,2,0,0,0,0,0,8,0,0,0,4,0],[0,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0],[3,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,1,0,1,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,0,0,0,0,1,0,5,0,0,2,0,3,0,0,0,0,0,1],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,3,0,0,2,0,5,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0],[0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,1,0,0,0,0,3,0,0,0,2,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,3],[0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[4,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,2,0,3,0,0,0,1,0,0,1,0,5,0,0],[0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,1,0,0,0,0,2,0,0,5,0,0,0,0,0,0,0,0],[2,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,3],[0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,7,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,3,0],[0,6,0,0,0,0,0,1,0,0,6,0,0,1,0,0,0,0,0,1],[0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,3,0,0,0],[0,0,0,3,0,2,0,1,0,0,0,1,0,2,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,2,0,1,0,2,0,0,3,0,0,2,0,1,0,0,2],] -- [[1,0,3,0,0,1,0,1,0,2,0,2,0,3,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,1,0,2,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,3],[2,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,1,0,0,0,0,0,3,0,2,0,0,3,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,4,0,0,0,0,1,0,3,0,0,2,0,0],[0,3,0,2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0],[0,0,0,0,6,0,0,3,0,1,0,0,0,0,4,0,3,0,0,0],[0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,1,0,0,6,0,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,3,0,0,3,0,0,0,0,0,3,0,0,1,0,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,3,0,2,0,0,4,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1],] -- [[0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,3,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,3],[0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,4,0,0,0,1,0,0,2,0,0,3,0,0,1],[0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0],[1,0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,1,0,0,0,0,3,0,3,0,0,0,1,0,0,0,0,0,0],[1,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,4,0],[0,0,2,0,0,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,3,0,0,0],[0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,1,0,0,4,0,0,0,0,3,0,0,2,0,0],[0,0,0,0,2,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,1,0,2],[0,0,0,4,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1],[5,0,0,2,0,0,3,0,0,0,3,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[1,0,2,0,0,3,0,0,0,1,0,1,0,0,0,2,0,0,3,0],] -- [[4,0,0,0,3,0,0,0,0,0,2,0,0,0,3,0,3,0,0,2],[0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0],[0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,2],[2,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,3,0,0,0,0,0,3,0,0,0],[3,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0],[0,0,6,0,0,0,0,1,0,0,0,0,3,0,3,0,0,0,0,2],[1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0],[0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,4,0,0,3,0,0,0,0,0,3,0,0,1,0],[0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0],[1,0,0,0,0,3,0,0,0,1,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,7,0,0,0,1,0,9,0,0,0,0,4,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[3,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,1,0,3,0,0,0,1,0,0],] -- [[2,0,0,0,0,0,1,0,3,0,3,0,0,0,4,0,1,0,1,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,2,0,0,0,0,4,0,0,0,0,0,0,2,0,2],[0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,3,0,0,2,0,0,0,2,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,3,0,0,2,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0],[0,4,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,1],[0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0],[0,0,0,0,5,0,0,3,0,0,0,0,4,0,1,0,3,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0],[0,1,0,0,0,0,0,0,0,3,0,1,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,2,0,2,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1],] -- [[0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,2,0,3,0,0,3,0,0,0,3,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,2,0,0,2,0,0,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,4,0,0,0,0,0,3],[0,0,3,0,1,0,0,0,0,0,0,1,0,0,0,5,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,1,0,2,0,1,0,0,0,3,0,0,0,0,0,0,0,2,0,3],[0,0,0,0,0,0,0,3,0,0,0,2,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,3,0,0,0],[0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,3],[0,4,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,2,0,1,0,0],[1,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,2],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,1,0,0,0,0,0,0,0,0,7,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,2,0,0,5,0,1,0,0,2,0,8,0,1,0,2],] -- [[2,0,0,6,0,0,7,0,0,1,0,2,0,3,0,7,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,1,0,0,3,0,0,0,0,0,1,0],[0,0,5,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0],[3,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0],[0,0,0,2,0,1,0,0,1,0,2,0,0,0,0,0,0,2,0,0],[3,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,1,0,0,1],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,1,0,2,0,0],[0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],[0,0,2,0,0,0,0,0,3,0,2,0,0,1,0,1,0,3,0,0],[3,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,7,0,0,0,0,0,0,5,0,0,3,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,4],[2,0,0,0,0,0,0,0,8,0,1,0,0,1,0,2,0,0,0,0],[0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1],[1,0,1,0,0,2,0,0,2,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,0,3,0,0,0,0,0,3,0,2,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,1,0,1],[3,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,8,0,1,0,0,0,3,0,3],[0,0,0,0,0,0,4,0,0,0,3,0,1,0,0,0,0,0,0,0],[1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,1,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,0,3,0,1,0,4,0,4,0,0,3,0,0,0,6],] -- [[1,0,1,0,3,0,2,0,1,0,2,0,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,0,0,3,0,6,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0],[2,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,2,0,0,1,0,1,0,3,0,4,0,0,0],[1,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,4,0,0,0],[4,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,4,0,3,0,0,0,0,3,0],[3,0,0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,2,0,0,0,0,6,0,0,0,0,0,0,0,0,0,3,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,3,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0],[0,0,0,3,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,1],[0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0],] -- [[1,0,1,0,1,0,2,0,0,2,0,0,2,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,3,0,3,0,0,0,2,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0],[1,0,0,3,0,0,4,0,0,1,0,0,0,0,0,3,0,0,0,0],[0,1,0,0,0,3,0,0,0,0,3,0,0,3,0,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,2,0,4,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,1,0,3,0],[1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,4,0,0,0,0],[3,0,0,2,0,1,0,0,2,0,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,2,0,0,1,0,1,0,1,0,3,0,0,0,0,0,0],[3,0,1,0,0,0,2,0,1,0,4,0,0,0,0,0,1,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,2,0,0],[0,0,3,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1],] -- [[0,3,0,3,0,3,0,2,0,1,0,2,0,0,2,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,5,0,0,2,0,0,0,5,0,1,0,2],[2,0,3,0,0,0,6,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,2,0,2,0,4,0,0,0,0,0,0,0,0,3,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,1,0,0,0,3,0,0,0,0],[2,0,0,0,3,0,0,0,0,0,7,0,3,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,5,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,5,0,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,4,0,5,0,0,0,0],[1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0],[0,3,0,3,0,0,0,0,0,5,0,0,0,1,0,0,0,0,4,0],[0,0,0,0,0,0,0,4,0,0,0,4,0,0,1,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,1,0,6,0,0],[0,0,0,3,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0],[0,0,0,0,2,0,0,4,0,3,0,0,0,0,0,0,0,0,0,0],[1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,6],[0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,1,0,0],[0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,8,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,6,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,1,0,0,2,0,0,0,0,0,6],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,1,0,0,0,3,0,1,0,1,0,0,3,0,5,0,1],] -- 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[[2,0,0,3,0,0,1,0,3,0,0,3,0,1,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,4,0,0,3,0,0,0,0,2,0,2,0,2,0,0],[0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,3,0,0,1],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,2,0,0,2,0,0,0,0,0],[5,0,0,0,0,0,2,0,3,0,0,0,0,2,0,0,0,3,0,0],[0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,2,0,0,0,3,0,1,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,1,0,0],[2,0,0,0,4,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0],[0,0,6,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0],[5,0,0,0,0,1,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,3,0,3,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0],[3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,3,0,0,0,1,0,2,0,0,1,0],] -- [[1,0,2,0,0,1,0,2,0,0,3,0,0,3,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,4,0,0,0,2,0,0,3,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],[0,0,3,0,0,0,0,0,2,0,0,0,0,2,0,1,0,2,0,1],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,3,0,0,0,0,0,1,0,2,0],[0,0,3,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0],[3,0,0,0,1,0,1,0,0,2,0,1,0,0,0,4,0,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,0,2,0,0,0,0,0,2,0],[0,0,0,0,3,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,1,0,0,0,2,0,0,0,2,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[1,0,0,0,0,0,1,0,4,0,0,1,0,0,0,0,0,0,0,0],[0,2,0,0,0,1,0,2,0,0,0,0,3,0,0,0,1,0,4,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,7,0,0],[0,0,3,0,5,0,0,0,1,0,3,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,3,0,0,1,0,1,0,2,0,2,0,2,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,9,0,0,0,0,0,0,0,0,0,2,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,2,0,0,0,0,0,2],[0,2,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,4,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1],[0,2,0,0,0,0,2,0,0,2,0,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,1],[1,0,4,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0],[1,0,0,4,0,0,3,0,0,4,0,1,0,0,0,0,0,0,3,0],[0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,3,0],[0,0,4,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],] -- [[0,0,1,0,2,0,0,0,3,0,1,0,0,3,0,3,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,2,0,0,2,0,2,0,2,0,0,3,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,1,0,6,0,1,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[3,0,0,2,0,0,0,0,0,4,0,1,0,1,0,7,0,0,0,1],[0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0],[0,0,1,0,0,0,0,1,0,0,0,0,0,5,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,6],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0],[0,1,0,0,3,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,6,0,3],[0,0,0,0,0,0,1,0,0,4,0,0,3,0,0,0,0,0,0,0],[0,4,0,4,0,1,0,1,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,0,3,0,4,0,0,2,0,0,1,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,2,0,0,3,0,0,4,0,0,0,0],[0,1,0,0,0,0,8,0,0,0,0,3,0,0,0,0,0,1,0,1],[0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[5,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0],[0,0,4,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,1,0,0,3,0,0,0,2,0,0,0,3,0,3,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,3,0,3,0,0,2,0,0,3,0,0,1],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,4,0,3,0,0,0,0,0,0,0,0],[1,0,1,0,4,0,0,0,0,0,0,0,0,3,0,0,3,0,0,3],[0,4,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[0,0,3,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,1,0,0,0,3,0,3,0,0,3,0,0,0,2,0,4],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,8,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[3,0,2,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0],[1,0,0,0,3,0,0,3,0,0,3,0,2,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,2],[0,0,0,0,2,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0],[0,0,0,3,0,2,0,2,0,1,0,0,0,0,0,0,0,2,0,0],[0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0,0,0,0,3],[0,0,0,3,0,3,0,1,0,0,0,3,0,1,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,1,0,1,0,1,0,0,2,0,1,0,0,2,0,0,4],] -- [[3,0,1,0,2,0,6,0,0,2,0,0,3,0,0,4,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,4,0],[0,3,0,2,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,3,0,0,0,3],[0,0,0,0,2,0,0,0,0,0,0,3,0,4,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0],[3,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,1,0,3,0,0,1,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,4,0,0],[0,1,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0],[3,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0],[0,0,3,0,0,0,0,0,0,0,3,0,0,3,0,0,0,1,0,0],[5,0,0,0,0,3,0,4,0,0,0,0,0,0,0,3,0,0,3,0],[0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,2,0,0,0,4,0,0,0,0,2,0,0,0],[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],] -- 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[[1,0,3,0,2,0,0,1,0,3,0,0,1,0,3,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,3,0,3,0,0,3,0,0,0,3,0,1,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,1,0,0,0,1,0,0,0,0,0,0,0,0,9,0,0,0,0,0],[0,0,0,0,3,0,5,0,3,0,0,0,0,4,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,4,0,1,0,0,3,0,0,0,0],[2,0,0,0,0,0,2,0,3,0,0,0,0,2,0,0,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,6,0,0,0,0,0,0,0,4,0,0,0,0,2,0,2,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0],[6,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0],[0,0,0,2,0,0,0,0,0,1,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,2,0,3,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[2,0,8,0,3,0,0,2,0,0,4,0,0,3,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,1,0,0,0,2,0,2,0,3,0,0],[2,0,0,0,0,5,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0],[0,0,0,0,2,0,0,0,3,0,0,3,0,4,0,0,0,1,0,0],[4,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,3,0,6,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0],[0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,1,0,1],[4,0,0,0,0,3,0,0,0,0,0,1,0,3,0,0,3,0,0,0],[0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,3,0,0,0,2,0,0,2,0,1,0,2,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,1,0,2,0,3,0,0,1,0,0,0,0,0],[3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0],] -- [[2,0,2,0,1,0,3,0,2,0,0,4,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,3,0,3,0,0,0,3,0,0,1,0,2],[3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,2,0,1,0,0,1,0,1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,6,0,3,0,0],[2,0,0,3,0,0,3,0,0,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,2,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,9,0,0,0,0,0,0,0,3,0,0,2,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,5,0,0,0,0,0,3,0,1,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,0,0,0],[4,0,2,0,0,0,0,0,0,5,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,3,0,3,0,0,0,0,0,0,2,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[2,0,1,0,3,0,0,0,2,0,0,2,0,0,3,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,1,0,1,0,2,0,1,0,2,0,0,0,0,0,0,1],[0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,2,0,6,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[5,0,0,0,0,0,1,0,2,0,2,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,5,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,1,0,0,4,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0],[2,0,0,0,3,0,0,7,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,1,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,3,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,1,0,0,0,3,0,0,0,1,0,1,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],] -- [[1,0,2,0,0,0,3,0,0,1,0,0,5,0,0,0,0,4,0,0],[0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,1,0,0,7,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0],[0,0,0,4,0,0,1,0,0,0,0,0,0,0,2,0,0,0,3,0],[4,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,1,0],[0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,2,0,0,0,1,0,3,0,0],[2,0,0,0,3,0,0,0,0,0,3,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[2,0,0,3,0,5,0,2,0,0,3,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0],[4,0,0,0,0,0,0,1,0,0,0,0,2,0,0,3,0,0,0,0],[0,0,0,6,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,5,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,2],[5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,4,0,0,0,1,0,2,0,4,0,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,3,0,2,0,0,0,0,0,2,0,2],[0,0,0,3,0,0,3,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,8,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0],[3,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,3,0,0,0,0,3,0,3,0,0,3],[0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,2,0,1,0,1,0,0],[0,0,3,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,0,1,0,2,0,2,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,3],[0,8,0,0,2,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0],[1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,1,0,0,0,1],] -- [[0,0,2,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,4],[0,0,0,4,0,0,0,0,1,0,0,2,0,0,0,0,0,7,0,0],[0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,1,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,4,0,3,0,1,0,1,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,3,0,0,0,0,0,2,0,0,1,0,0,9,0,0],[3,0,0,0,0,0,0,2,0,2,0,0,1,0,0,0,2,0,0,0],[0,0,0,3,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,3],[0,1,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[1,0,0,0,0,0,3,0,0,5,0,0,0,1,0,3,0,3,0,0],[0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,2,0,0,1,0,0,4,0,2,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,1,0,1,0,2,0,1,0,2,0,0,2,0,0,5,0,1],] -- [[2,0,3,0,0,0,4,0,2,0,0,4,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,3,0,0,0,0,2,0,0,2,0,7,0,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,0,1,0,0,0,0,3,0,3,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1],[1,0,0,0,2,0,0,0,4,0,0,0,0,3,0,3,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,0,2,0,0,0,0,0,0,1,0,0,0,7,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,2,0,1,0,3,0,0,0,0,0,0],[1,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0],[0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,1,0,1,0,2,0,0,0,4,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[4,0,1,0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,1],[0,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,3,0,0,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,3,0,0,0,2,0,0,1,0,4,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,2,0,0,2,0,2,0,0,0,2,0,2,0,3,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,1,0,3,0,0,0,1,0,2,0,0,2],[0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,3,0,0,0,2,0,3,0,0,0,0],[0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,3,0,0,2,0,1,0,2,0,1,0,4,0,0,0,0,0],[4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,2,0,3,0,6,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,1,0,4,0,0,1,0,0,0],[2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,3,0,0,1],[4,0,0,0,0,0,0,0,3,0,2,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[2,0,0,0,0,3,0,0,0,2,0,0,1,0,1,0,3,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[0,4,0,1,0,3,0,0,3,0,4,0,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0,1],[0,0,3,0,0,0,0,4,0,3,0,0,0,4,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0],[0,4,0,7,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,0,6,0,0],[0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[4,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0],[0,0,0,0,0,1,0,0,4,0,0,0,0,4,0,0,2,0,0,0],[0,0,5,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0],[9,0,0,0,0,0,0,0,4,0,4,0,0,2,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,3,0,0,0,0,6,0,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,3,0,0,2,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0],] -- [[3,0,0,0,4,0,0,4,0,1,0,3,0,3,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,1,0,0,0,4,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0],[6,0,3,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,3,0,0,0,0,6,0,0,0,0,0],[0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,3,0,3,0,3,0,1,0,4,0,0],[4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,1,0,0,3,0,0,0,0,0,0,1,0,2,0,1,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,3,0,3,0,1],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,6,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,1,0,5,0,0,0,0,3,0,4,0,3,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,3,0,0,0,0,2,0,3,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,2],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,5,0,6,0,1,0,0,0,3,0,0,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,3],[0,0,0,2,0,2,0,0,0,0,2,0,0,3,0,0,0,0,0,0],[0,2,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,1,0,3,0,2,0,0,5,0,0,3,0,0,2,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,3,0,0],[2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,1,0,3,0,0,0,0,4],[0,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0],[0,0,1,0,0,1,0,0,4,0,1,0,2,0,0,3,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,2,0,1,0,2,0,1,0,2,0,0,2,0,0,2,0,3],] -- [[1,0,1,0,1,0,1,0,3,0,0,2,0,3,0,1,0,4,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,0,4,0,0,0,2,0,0,0,0],[0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,5,0,0,1,0,0,2,0,2,0,0,0,0,0],[0,0,3,0,0,0,0,0,6,0,3,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,4],[0,0,0,0,6,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,4,0,0,0,0],[0,8,0,0,0,0,1,0,0,4,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0],[0,0,0,0,2,0,0,3,0,2,0,1,0,0,0,0,0,0,0,2],[1,0,2,0,0,0,0,0,0,0,0,0,2,0,0,3,0,3,0,0],[0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,1],[0,2,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,2],[0,0,0,2,0,0,0,0,0,0,3,0,0,3,0,0,0,1,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[1,0,2,0,0,3,0,0,0,2,0,0,1,0,1,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,1,0,1,0,3,0,0,0,1,0,1],[0,0,0,0,0,5,0,0,2,0,2,0,1,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0],[0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,3,0,0],[0,4,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,3,0,0,0,0],[0,0,0,0,8,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[1,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,2],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,3,0,0,1,0,3,0,0,3,0,0,1],[0,2,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,4,0,2],[0,0,2,0,2,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,7,0,0,1,0,2,0,0,4,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1],[3,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,3,0,1,0,0,0,0,0,1],[0,1,0,1,0,6,0,0,1,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,3,0,2,0,0,2,0,2,0,0,0,1,0,0,0,0],[1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,2,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0],[0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,5,0,0],[6,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,2,0,0,2,0,5,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[6,0,0,0,0,4,0,0,3,0,0,1,0,5,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,5,0,0,3,0,0,3,0,0,0,2,0,1,0,2,0,1,0],] -- [[0,0,2,0,0,2,0,0,2,0,0,2,0,0,0,0,2,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,4,0,0,4,0,0,0,5,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,4],[0,2,0,0,3,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,2],[0,0,5,0,0,0,0,0,0,0,0,0,4,0,0,0,0,4,0,0],[0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,4,0,0,0,0],[0,0,4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,2,0,0,0,0,0,2,0,3,0,0,0,4,0,0,3],[0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0],[0,1,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,1,0,0,0],[0,0,2,0,1,0,3,0,0,0,1,0,0,0,0,1,0,0,0,6],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,2,0,0,2,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,2],[1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[0,3,0,2,0,1,0,1,0,1,0,8,0,1,0,4,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,4,0,0,1,0,3,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,1,0],[0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0],[1,0,2,0,4,0,0,0,0,0,0,0,0,3,0,0,0,2,0,1],[0,0,0,0,0,0,0,3,0,0,2,0,3,0,0,1,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,4,0,2,0,3,0,0,0,0,0,4,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0],[0,0,4,0,4,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],] -- [[3,0,0,0,1,0,3,0,4,0,1,0,2,0,4,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,0,3,0,5,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[1,0,0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,3,0],[4,0,2,0,1,0,3,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0],[0,0,0,1,0,1,0,4,0,0,2,0,0,0,1,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,8,0,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,1,0,0,1,0,3,0,0,1],[0,3,0,0,0,0,0,0,0,0,1,0,7,0,0,0,0,0,0,0],[0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,3,0,5,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,2,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,3,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1],[0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,2,0,0,2,0,2,0,3,0,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,1,0,2,0,0,0,2,0,2,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0],[4,0,0,4,0,1,0,0,0,0,0,0,8,0,3,0,0,0,0,0],[0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0],[1,0,5,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,4,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,3,0,0,0,2,0,0,1,0,1,0,1],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,2,0,0],[5,0,2,0,0,0,0,1,0,3,0,0,0,0,2,0,2,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,2,0,3,0,1,0,3,0,0,0,1,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0],[2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,1,0,2,0,0],] -- [[1,0,0,0,3,0,0,2,0,1,0,0,0,0,0,6,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,3,0,0,4,0,0,0,0,3,0,1,0,0,2],[0,0,0,5,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,7,0,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2],[0,0,2,0,1,0,0,0,0,3,0,0,0,0,0,2,0,1,0,0],[2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,2,0,0,0,1,0,0,0,4,0,1,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2],[1,0,0,0,0,2,0,0,2,0,0,0,0,0,3,0,0,4,0,0],[0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,1,0,0,4,0,0,0,0,3,0,0,0,0,0,2],[0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0],[0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,5],[0,0,0,1,0,0,0,5,0,0,2,0,0,0,0,1,0,0,0,0],[0,3,0,0,0,0,0,0,1,0,0,0,1,0,3,0,2,0,0,0],[0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,3,0,0,0,3,0,0,0,0,0,0,2],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],] -- [[0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,2,0,3,0,0,3,0,0,2,0,0],[4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,7,0,0,2,0,2,0,3,0,0,0,0,0,4,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0],[2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0],[0,0,0,4,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,2,0,1,0,0,0,2,0,2,0,8,0,0,0,0,3,0,1],[0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0],[1,0,0,0,2,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,2,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,6,0,1,0,1,0,1,0,0,0,1,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,0,2,0,1,0,2,0,0,1,0,3,0,0,0,2,0,3,0,0],] -- [[2,0,2,0,0,1,0,4,0,0,0,1,0,1,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,3,0,0],[0,0,2,0,0,2,0,3,0,0,0,0,0,2,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,1,0,3,0,3,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,6,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0],[0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,1,0,0,0,0,6,0,0,3,0,0,0,0,0],[0,0,3,0,4,0,0,4,0,2,0,0,0,0,0,0,4,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,2,0,1,0,0,2,0,0,3,0,0,1,0,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,4,0,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,2,0,0,4,0,0,2,0,0,2,0,3,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,4,0,0,0,4,0,0,0,3,0,0,3,0,0,0,1],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,3,0,0,3,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[1,0,3,0,3,0,0,0,0,0,2,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,0,1,0,3,0,0,0,9,0,1,0,0,0,0,0],[2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,6,0,0,0,0,2,0,0,0,0,0,3,0,1,0],[0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,2,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,1,0,5,0,0,1,0,3,0,0,0,0],[0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,0,0,0,2,0],[0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,2,0,1,0,0,2,0,2,0,0],[1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0],] -- 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[[3,0,3,0,3,0,0,0,1,0,1,0,7,0,2,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,7,0,0,0,1,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,3,0,0,4,0,0,3,0,0,1,0,0,0,0,0,0,4,0],[5,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0],[0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,9,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0],[0,0,0,2,0,0,0,2,0,2,0,0,0,0,6,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0],[4,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,2,0,0,3,0,0,3,0,0,1,0,1],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,8,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[0,0,4,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,3,0,0,4,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,3,0,0,0,4,0,2,0,0,4,0,0,0,0,0,3],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,2],[0,1,0,0,0,0,0,2,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3],[3,0,0,0,0,0,2,0,0,0,0,1,0,0,3,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,3,0,0,0,0,0,0,4,0,3],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2],[0,0,0,0,0,0,0,1,0,0,3,0,0,3,0,3,0,2,0,0],[0,3,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,5,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,4],[2,0,0,0,0,0,0,0,5,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,3,0,0,0,0,0,0,0,6,0,0,0,0,6,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0],[0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],] -- [[1,0,2,0,2,0,2,0,0,3,0,0,0,1,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,6,0,8,0,0,2,0,1,0,3,0,0,1,0,4],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,7,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,3,0,1,0,0,3,0,0,0,3,0,0,3,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,1,0,0,0,0,0,3,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,2,0,3,0,0,0,0,4,0,0,0,1,0],[0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,4,0,3,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,2,0,0,1,0,0,0,0,3,0,2,0,0,0,1,0,9,0],[0,4,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0],] -- [[2,0,1,0,2,0,1,0,2,0,0,1,0,2,0,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,4,0,0,2,0,0,2,0,0,3,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,9,0,0,0,0,0,0,1,0,0,0,3,0,4,0],[0,1,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0],[1,0,0,4,0,0,0,4,0,3,0,0,0,0,3,0,0,2,0,2],[0,2,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,1,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0],[5,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,1],[0,0,0,1,0,0,5,0,0,0,0,0,3,0,0,0,0,3,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,3,0,0,2,0,0,2,0,0,3,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[8,0,1,0,6,0,4,0,0,0,0,2,0,0,1,0,3,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,4,0,0,3,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0],[0,0,0,0,0,0,2,0,3,0,1,0,0,0,0,1,0,3,0,1],[2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,1,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,1],[0,5,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1],[4,0,0,0,0,2,0,0,3,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,1,0],[0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[2,0,0,0,4,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0],[0,0,5,0,0,0,2,0,1,0,3,0,1,0,3,0,0,0,0,2],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,1,0,0,4,0,0,0,0,3,0,0,0,0,0,2,0],[0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],] -- [[4,0,0,4,0,0,3,0,1,0,1,0,1,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,3,0,0,0,3,0,2,0,2,0,4,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,3,0,0,0,0,0,0,0,2,0,3],[0,0,1,0,0,0,0,0,1,0,0,0,0,5,0,1,0,0,0,0],[2,0,0,3,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,4,0,0,0,0,0,2,0,3,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,4,0],[2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,7,0,1,0,2,0,0,9,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,6,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0],[5,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,6,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[5,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,2,0,0,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,3],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[1,0,0,7,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,6,0,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,1,0,0,0,0,0,0,0,0,3,0,3,0,0],[0,1,0,0,0,1,0,0,0,2,0,0,0,0,8,0,0,0,0,3],[0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,3,0,0,0,0,0,4,0,0,3,0,0,0,0,0],[0,0,4,0,0,0,0,0,3,0,0,0,0,1,0,0,2,0,0,0],[0,0,0,0,2,0,0,3,0,0,0,3,0,0,0,3,0,0,0,3],[0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,2,0,0,7],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,3,0,1,0,1,0,2,0,2,0,2,0,1,0,0,0,0,4],] -- [[9,0,3,0,0,0,2,0,1,0,1,0,2,0,0,4,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,4,0,3,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0],[2,0,0,4,0,0,0,1,0,3,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[2,0,1,0,0,0,2,0,0,1,0,1,0,2,0,1,0,4,0,0],[0,0,0,3,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1],[0,4,0,0,0,0,3,0,0,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,3],[0,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,0],[1,0,2,0,0,1,0,3,0,0,0,8,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,3,0,0,0,2],[2,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0,0,1,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,1,0,1,0,0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],] -- [[2,0,3,0,0,4,0,0,0,3,0,2,0,0,2,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,3,0,0,0,1],[4,0,0,0,4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,3,0,0],[3,0,0,1,0,1,0,0,0,0,0,2,0,3,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1],[4,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0],[0,0,0,0,0,2,0,2,0,3,0,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,1,0,0,4,0,0,0,2,0,0,3,0,0,0,0,0,1,0,2],[0,0,7,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0,0,0,1,0],[4,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0],[0,0,1,0,5,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1],] -- [[3,0,1,0,1,0,0,0,5,0,0,0,4,0,0,0,2,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,2,0,0,0,0,0,1,0,0,3,0,1,0,2,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[2,0,2,0,0,0,0,0,2,0,0,0,2,0,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,1,0,0,3,0,0,0,0,3,0,2],[3,0,1,0,0,0,0,0,1,0,4,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,3,0,1,0,1,0,1,0,3,0,0,0,2,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,3,0,3,0,0,0,0,6,0,0,0],[3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0,0],[4,0,0,0,5,0,0,1,0,0,0,0,3,0,0,1,0,0,0,2],[0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,2,0,2,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,2,0,0,0,0,0,3,0,1,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,1,0,1,0,0],[0,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,1,0,0,3],[1,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,2,0,0,0,0,0,2,0,0,0,3,0,2,0,0,0],[0,0,2,0,0,0,0,2,0,1,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,2,0,3],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,3,0,0,0,0,1,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,5,0,0,0,2,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,6,0,0,0,3,0,0,2,0,0,0,2,0,0,0,0,7],[1,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,5,0,0],[0,0,0,1,0,3,0,0,5,0,1,0,0,0,0,2,0,0,0,0],[0,0,2,0,1,0,0,0,0,0,0,1,0,0,3,0,1,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,2,0,0,2,0,3,0,0,2,0,0,2,0,2,0,1],] -- [[2,0,7,0,3,0,0,0,2,0,0,1,0,1,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,0,1,0,1,0,0,0,3,0,2,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3],[0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,3,0,0,0],[0,1,0,0,5,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,4,0],[5,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,3,0,0,0,0],[0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,1,0,0,0,0,2,0,2,0,0,2,0,0,0,1,0,2,0],[3,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,3,0,0,4,0,0,2],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,3,0,0,3,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0,2,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0],] -- [[1,0,3,0,0,2,0,0,1,0,3,0,3,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,1,0,1,0,3,0,0,0,0,0,2,0,1,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[3,0,0,0,3,0,0,2,0,0,1,0,2,0,0,1,0,0,0,0],[0,0,0,7,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0],[2,0,6,0,0,0,0,2,0,0,0,0,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,2],[3,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,3,0,3,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,5,0,3,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,1,0,4,0,0,0,1,0,0,0,0,0,0,1,0],[0,3,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,4,0,0,0,0,0,1,0,0,4,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,1,0,3,0,1,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0,0,0,5],[0,0,3,0,0,0,4,0,0,0,0,3,0,0,1,0,0,6,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,3,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,3,0,0,0,0,4,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,1,0,6],[0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,4,0,0,0,0,0,3,0,1,0,2,0,0,2],[0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,2,0,2,0,2,0,0,0,0,0,6,0,0],[0,0,3,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,3,0,0,0,3,0,0,2,0,1,0,1,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,2,0,0,2,0,1,0,2,0,0,0,3,0,2],] -- [[0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,4],[1,0,0,0,3,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,3,0,2,0,0,2,0,0,4],[0,0,3,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,4,0,0,2,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,3,0,0],[0,0,3,0,0,2,0,0,0,0,0,3,0,0,0,1,0,0,0,2],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0],[0,3,0,2,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,1],[0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,2,0,0,3,0,2,0,2,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,2,0,0,0,0,0,3,0,0,0,0,0],[1,0,1,0,2,0,0,1,0,0,0,3,0,0,0,0,0,4,0,0],[0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,4],[0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,2,0,1,0,0,0,1,0,0,2,0,0,2,0,0,0,0,0,1],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,7,0,0],[1,0,0,3,0,0,0,0,2,0,0,2,0,0,2,0,0,0,0,2],] -- [[1,0,4,0,3,0,0,0,3,0,0,2,0,0,1,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,2,0,0,1,0,0,4,0,3,0,0,2,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,3,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,4,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0],[4,0,0,2,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,1,0,4,0,0,0,0],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,3,0,0,4,0],[1,0,2,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,1,0,2],[1,0,0,8,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,2,0,0,0,2,0,4,0,0,0,3,0,0],[4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0,0,1],] -- [[1,0,3,0,0,0,3,0,0,3,0,0,0,2,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,2,0,0,4,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0],[0,0,4,0,0,1,0,3,0,0,3,0,1,0,0,0,0,2,0,4],[1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,2,0,0,7,0,0,1,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,4,0],[0,0,0,1,0,3,0,0,0,0,0,0,1,0,2,0,0,0,0,0],[3,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,2,0,0,2,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,1,0,5,0,0,0,0,0,0,0,0,3,0,1,0,3,0,3,0],[0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,0,0],[1,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[0,0,0,0,0,2,0,1,0,0,3,0,0,0,0,9,0,0,0,2],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,4],[0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,0,0,3,0,0,0,0,7,0,1,0,0,0,0,5,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,3,0,2,0,0,0,0,2,0,0,0,0,8,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,7,0,0,1,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0],[0,3,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0,4],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0],[0,0,0,4,0,0,0,0,6,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2],[0,0,3,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],[2,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,4,0,1,0,1,0,2,0,6,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,2,0,3,0,0,2,0,3,0,0,0,1,0],[4,0,2,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,5,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0],[0,0,0,0,0,6,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[5,0,1,0,1,0,0,5,0,0,0,0,0,0,0,1,0,5,0,0],[0,0,0,0,0,3,0,0,0,1,0,1,0,2,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0],[2,0,0,0,2,0,0,3,0,0,1,0,2,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,1,0,1,0,3,0,0,0,4,0,0,0,2,0,3],] -- [[4,0,0,0,0,5,0,0,5,0,0,0,1,0,1,0,4,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,3,0,0,3,0,6,0,0,0,0,0,2],[0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,3,0,0,0,3,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,1,0,0,0],[5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,1],[0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,1,0,2,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,2,0,3],[2,0,0,3,0,0,3,0,0,0,0,0,0,6,0,0,0,0,0,0],[0,0,5,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0],[2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,0,3],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0],[0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,3],[0,0,0,0,0,0,3,0,1,0,0,0,0,4,0,0,0,0,0,0],[1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,3,0,2],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,4,0,0,0,0,1,0,0,0,4,0,1],[0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,3,0,0,0],[0,1,0,0,0,9,0,0,3,0,0,0,4,0,0,0,0,0,0,3],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,3,0,0,0,0,2,0,0,0,0,3,0,0,0,1],[0,0,0,2,0,0,0,0,3,0,0,0,0,3,0,0,0,4,0,0],[0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,2,0,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,5,0,2,0,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,7,0,0,2,0,1,0,0,3,0,0,0,0,0,0,3],] -- [[3,0,4,0,0,2,0,2,0,2,0,1,0,1,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0,1,0,0],[0,1,0,1,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[2,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,7,0,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[6,0,2,0,0,3,0,0,2,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,1,0,0,0,4,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,6,0,0,0,0,0,3,0,0,0,3],[3,0,0,0,1,0,0,0,4,0,0,0,0,3,0,0,0,2,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,0,0,3,0,0,0,3,0,0,0,2,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,2],[0,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0],] -- [[4,0,0,3,0,0,4,0,3,0,0,0,4,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,2,0,0,6,0,0,0,1,0,4,0],[2,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,9,0,1,0,0,0,0,1,0,3],[0,1,0,0,2,0,0,0,0,0,0,0,0,5,0,0,1,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0],[0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0],[3,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,5,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,4,0,0,0,0,2,0,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[3,0,0,0,5,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,4,0,0,0],[0,0,3,0,0,0,0,1,0,2,0,0,0,2,0,1,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,2,0,0,3,0,1,0,1,0,1,0,1,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1],] -- 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[[0,0,1,0,3,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0],[3,0,0,0,0,1,0,3,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,2,0,4,0,0,0,0,4,0,0,2,0],[0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[1,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2],[2,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,1,0,0],[0,0,0,0,0,0,7,0,0,0,0,0,1,0,0,0,0,0,1,0],[0,0,0,3,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0],[3,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,3,0,0,2,0,0,2,0,0,4,0,0,0],[0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0],[2,0,0,1,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,1,0,2,0,2,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[3,0,2,0,4,0,0,0,2,0,0,11,0,0,0,2,0,0,0,2],] -- [[2,0,1,0,0,0,1,0,2,0,0,6,0,0,0,0,0,4,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,4,0,0,4,0,0,3,0,1,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,3,0,1,0,0,0,6,0,0,0,0,3,0,0],[0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,0,3,0,0,1,0,0,0,0,0],[0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,2,0,2,0,1],[3,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0],[0,0,0,0,0,0,7,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,5,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,8,0,0,0,3,0,0,0,0,0],[1,0,2,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,7,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0],[1,0,5,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,2,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2],[0,3,0,3,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,5,0],[0,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,4,0,0,0,0],[0,4,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,4,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,1,0,1,0,1,0,0,0,4,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,6,0,3,0,0,5,0,1,0,0,0,0,0,3,0,0,7,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1],[0,0,0,2,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,4,0,0,0,0,4,0,2,0,3,0,0,2,0,3],] -- [[0,4,0,5,0,0,4,0,0,3,0,3,0,2,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,2],[0,0,2,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,0,0,0,0,3,0,1,0,2,0,0,1,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,4,0],[2,0,0,2,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,1,0,0,5,0,1,0,0,0],[1,0,0,0,3,0,4,0,0,0,0,0,3,0,0,0,0,3,0,0],[0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,5,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[2,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0],[0,4,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0],[0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,3,0],[3,0,0,0,0,0,0,0,3,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1],] -- [[2,0,1,0,4,0,3,0,0,1,0,2,0,3,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,3,0,0,0,1,0,2,0,2,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0],[5,0,0,3,0,0,0,0,6,0,0,0,1,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,4,0,0],[0,0,0,0,0,4,0,0,0,0,0,2,0,0,13,0,0,0,2,0],[8,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,4,0,0],[0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,8,0,0,1,0,2,0,2,0,3,0,0,0,0,0,0,2,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,8,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,3],[0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,4,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1],] -- [[0,3,0,3,0,0,2,0,2,0,0,2,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1],[3,0,1,0,1,0,0,0,4,0,0,5,0,0,3,0,2,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,1,0,3,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0],[4,0,0,0,0,0,3,0,4,0,1,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0],[2,0,0,1,0,2,0,7,0,0,0,0,0,3,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,1,0,0,0,0,0,0,1,0,6,0,0,6,0,0,1,0],[0,2,0,0,4,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2],[4,0,0,0,0,0,0,0,0,0,2,0,1,0,0,5,0,0,0,0],[0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0],[0,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[1,0,1,0,2,0,2,0,0,2,0,3,0,0,3,0,0,5,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,4,0,0,0,0,0,3,0,0,4,0,0],[3,0,0,1,0,3,0,0,0,0,3,0,0,4,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,2,0,1,0],[0,0,0,0,3,0,7,0,0,1,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,2,0,0,3,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,3,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,2,0,0,1,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0],[0,0,0,0,0,5,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,4,0],[0,0,2,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0],] -- 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[[2,0,4,0,1,0,1,0,6,0,3,0,0,2,0,1,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0],[3,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,2,0],[0,0,0,1,0,0,0,0,3,0,0,5,0,1,0,2,0,0,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,3],[2,0,1,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,3,0,0,0,3,0,0,2,0,0,0],[0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,2,0,0,0,2,0,1,0,0,4,0,0,1,0,0,0,0,0],[2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,5,0,0,0,0],[0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,3,0,0,1,0,2,0,1,0,0,0,0,4],[4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,3,0,0,0,0,0,5,0,0,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],] -- 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[[3,0,2,0,2,0,2,0,0,6,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,3,0,6,0,0,0,0,0,2,0,0,3,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,2,0,0,0],[2,0,0,2,0,0,0,0,3,0,0,0,0,2,0,0,0,0,2,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0],[1,0,0,0,3,0,0,0,7,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,10,0,0,0,0,0,0,1,0,0,0,3,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0],[1,0,0,0,0,2,0,0,0,0,0,0,5,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,1,0],[2,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[3,0,0,0,0,1,0,0,3,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],[0,0,3,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,2,0,0,0,0,4,0,0,1,0],[0,0,0,0,0,1,0,0,0,1,0,0,5,0,0,0,0,0,0,0],[1,0,0,3,0,0,0,2,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,3,0,0,0,1],[4,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,2],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,5,0,0,0,0,0],[4,0,4,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0],[0,0,0,0,0,3,0,0,2,0,0,1,0,0,1,0,0,0,0,0],[3,0,0,0,1,0,0,1,0,0,0,0,0,1,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,6,0,0,0,0,0,0,1,0,0,0,4,0,0,3,0,0],[0,0,1,0,0,0,0,0,4,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,3,0,0,1,0,0,1,0,6,0,0,0,0,2,0,0,0,2],] -- [[1,0,3,0,0,3,0,0,0,4,0,0,2,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,5,0,3,0,0,1,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,2,0,0,0,2,0,0,4,0,0,2],[0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,2,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0],[6,0,0,0,0,3,0,2,0,0,2,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0],[2,0,0,0,0,0,0,4,0,1,0,1,0,0,0,0,0,0,0,0],[0,0,5,0,7,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,1,0,2,0],[0,0,2,0,0,0,0,3,0,0,0,2,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1],] -- [[1,0,2,0,0,1,0,4,0,0,0,0,1,0,4,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,2,0,4,0,3,0,0,1,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,2],[0,3,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0,0,1,0,0],[1,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1],[0,0,7,0,1,0,3,0,4,0,0,1,0,1,0,0,0,0,3,0],[2,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,2,0,2,0,3,0,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,5,0,0],[0,1,0,0,0,0,0,0,4,0,0,0,0,1,0,9,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,3,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[1,0,4,0,2,0,0,2,0,0,1,0,2,0,0,1,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,2,0,2,0,2,0,2,0,5,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,2,0,2,0,3,0,1,0,0,0,4,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,3,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,3,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0],[1,0,1,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0],[0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,4,0],[0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,1,0,0],[5,0,1,0,1,0,0,0,0,2,0,2,0,0,0,0,4,0,0,0],[0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,3,0,0,3,0,0,5,0,7,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,6,0,0,0,2,0,4,0,0,3,0,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0],[4,0,0,0,2,0,3,0,0,2,0,1,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0],[3,0,0,3,0,0,3,0,0,0,1,0,2,0,1,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,7,0,0,0,0,0,0],[3,0,1,0,3,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0],[0,0,2,0,0,4,0,0,0,1,0,2,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2],[0,1,0,1,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0],[0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,6,0,0,0,0],[5,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,5,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,2,0],[1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[2,0,3,0,4,0,0,0,0,1,0,3,0,0,0,4,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,4,0,1,0,2,0,0,2,0,0,0,0,2,0],[3,0,0,0,0,0,0,0,0,3,0,0,1,0,0,1,0,0,0,0],[0,0,0,2,0,2,0,0,0,0,0,2,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0],[2,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,2,0,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,2,0],[2,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,3,0,0,3,0,0,0,2,0,0],[0,0,0,3,0,0,1,0,0,0,0,0,3,0,0,0,7,0,0,0],[2,0,3,0,0,0,0,1,0,7,0,0,0,0,2,0,0,0,1,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,2,0,0,3,0,0,0,0,0,5,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,3,0,0,2],[1,0,8,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0],] -- [[4,0,0,0,2,0,0,1,0,3,0,3,0,0,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,2,0,0,0,0,2,0,0,1,0,6,0,0,0],[0,0,4,0,0,0,0,0,0,0,3,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,1,0,0],[3,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0],[0,0,0,0,0,0,2,0,3,0,0,3,0,0,0,0,0,2,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,0,0,0,4,0,2,0,0,3,0,0,1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0],[4,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0],[0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,1,0,0,3,0,0,2,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0,1,0,0,0],[0,0,3,0,0,0,0,0,0,2,0,4,0,0,0,1,0,3,0,0],[2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],] -- [[2,0,0,1,0,2,0,0,1,0,4,0,0,1,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,1,0,3,0,0,0,0,0,0,2,0,0,1,0],[0,0,3,0,0,0,0,3,0,0,0,5,0,0,4,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,4,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,1,0,3,0],[0,0,3,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[1,0,3,0,0,2,0,1,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,1],[2,0,0,0,2,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,5,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,3,0,0,0,3,0,4,0,0,0,0],[0,0,0,0,0,3,0,0,1,0,0,1,0,0,0,0,0,3,0,0],[2,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,4,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0],] -- [[1,0,1,0,2,0,0,2,0,0,2,0,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[1,0,3,0,0,0,2,0,1,0,1,0,2,0,0,1,0,2,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3],[0,0,0,2,0,1,0,0,3,0,0,4,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0],[1,0,3,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,3,0,0,3,0,0,0,3,0],[2,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,1,0,4,0,0,0,1,0,0,0,0,0,0],[0,2,0,0,0,0,6,0,0,0,0,0,1,0,3,0,3,0,0,4],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,4,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[4,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0,1,0,0,0],[0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,3,0,3,0,0,0,1,0,0,0,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],] -- [[1,0,3,0,0,2,0,0,1,0,2,0,0,1,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,3,0,4,0,2,0,0,0,0,4,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0],[0,0,1,0,4,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,2,0,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,4,0,1,0,9,0,0,1,0,1],[0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0],[0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,3,0,0,0,1,0,2,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,2,0,3,0,1,0,1,0,3,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0],[3,0,0,2,0,0,0,0,0,0,0,0,7,0,0,0,2,0,3,0],[0,0,0,0,0,2,0,0,2,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0],] -- [[3,0,0,0,3,0,0,0,1,0,3,0,0,0,1,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,4,0,3,0,0,2,0,0,1,0,0,0,0,1],[0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,3,0],[3,0,0,0,6,0,0,0,3,0,4,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,1,0,0,0,0,0,5,0,0,2,0,0,1],[0,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,2,0,0,3],[2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,3,0,0,6,0,0,0,4,0,0,0,0,0,2,0,1,0,0],[3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,5,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,3,0],[0,2,0,0,2,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0],[1,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[4,0,4,0,0,0,2,0,0,3,0,2,0,2,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,5,0,1,0,0,0,0,3,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,2,0],[4,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,3],[0,0,0,0,0,0,0,2,0,0,4,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,2,0,0],[0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,3],[2,0,0,0,2,0,0,0,0,2,0,1,0,6,0,0,1,0,0,0],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0],[3,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,3,0,0,0,1,0,1,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,3,0],[0,3,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,4,0,0,3,0,0,7,0,0,0,0,0,0,3],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0],] -- [[1,0,3,0,1,0,1,0,3,0,2,0,3,0,0,2,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,0,0,0,0,4,0,0,1,0,0,2,0,0,0,0],[0,0,0,0,0,11,0,1,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0,0,0],[7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,1,0,0,0,1,0,5,0,2,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,4,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,2,0,3],[0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,1,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,0,1,0,0,3,0,0,1,0,0],[2,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0],[1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0],] -- [[3,0,3,0,0,0,2,0,0,6,0,0,0,4,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,2,0,0,6,0],[0,4,0,0,0,0,0,0,0,0,1,0,4,0,1,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,4,0,0,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,4],[1,0,4,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0],[0,3,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,2,0,0,0,0],[0,0,3,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,2,0,0,4,0,0,4,0,0,0,0],[4,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,3,0,0,3,0,0,0,1,0,4,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,3,0,3,0],[1,0,3,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0],[2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,2,0,4,0,0,0,0,1,0,3,0,0,1,0,5,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,2,0,0,1,0,0,2,0,0,0,0,0,0],[5,0,2,0,8,0,0,0,0,0,0,3,0,0,0,1,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,4,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,3,0,4,0,0,0,0,0,3,0,0],[0,0,3,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,3,0],[0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,3,0,0,0,0],[2,0,2,0,2,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,2,0,1],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[6,0,2,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,1,0],[0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0],[0,0,0,0,0,0,3,0,0,0,1,0,1,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1],] -- [[1,0,3,0,0,0,1,0,1,0,4,0,1,0,2,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,2,0,7,0,0,0,0,1,0,0,0,2,0,2],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,4,0,0,0,6,0,0,4,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,2,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,3,0,5,0,0,2,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0],[1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,2,0,1,0,1,0,1,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0],[0,0,1,0,3,0,0,2,0,0,1,0,1,0,0,0,0,0,3,0],[0,2,0,4,0,0,0,0,0,1,0,0,0,6,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,3,0,0,0,0,1,0,2,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1],] -- [[1,0,2,0,2,0,0,0,0,0,0,1,0,5,0,0,0,3,0,2],[0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,4,0,0,3,0,0,0,0,0,1,0,1],[3,0,1,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,2,0,0],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,3,0,0,3,0,2,0,0,1,0,0,0,2,0,0],[0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,4,0,0],[3,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,6,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0],] -- [[5,0,1,0,2,0,0,4,0,1,0,2,0,1,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,7,0,0,0,0,0,0,2,0,0,3,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,3,0,0,0,0,2,0,0,1,0,0,0],[1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0],[1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0],[0,0,0,4,0,0,0,0,3,0,0,0,2,0,0,4,0,0,0,0],[1,0,3,0,0,0,1,0,0,0,0,2,0,0,0,0,0,4,0,0],[0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,3,0,0],[0,0,3,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,3,0,0],[0,0,5,0,2,0,0,0,0,0,2,0,4,0,0,0,0,0,0,1],[3,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0],] -- 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[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,2],[0,0,0,0,0,0,0,3,0,0,1,0,4,0,0,0,0,0,0,0],[1,0,3,0,5,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,0,2,0,0,0,3,0,10,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,1],[0,0,3,0,4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,0,0,0,0,0],[4,0,2,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,7,0,1,0,0],[0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,4,0,2,0,0,0,0,1,0,1,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[4,0,0,0,0,0,0,3,0,1,0,3,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,2,0,0,1,0,3,0,0,4,0,0,0,0,1,0,3],] -- [[3,0,0,0,1,0,4,0,0,0,0,3,0,0,1,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,3,0,3,0,0,2,0,0,0,4,0,0,0,0,2,0],[0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,3,0,3,0,0,0,4,0,0,1],[0,0,0,1,0,7,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,1,0,1,0,2,0,0,0,3,0,0,0,5,0,0,2,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,3,0,0,0,0,1,0,2,0,3,0,0,0,6,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,4,0,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0],[0,0,0,0,0,1,0,0,1,0,8,0,0,0,0,0,3,0,0,0],[0,0,0,0,4,0,0,5,0,0,0,0,3,0,1,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[7,0,0,0,2,0,0,4,0,1,0,1,0,3,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,3,0,0,0,0,0,0,4,0,0,0,4,0,0,4],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,2,0,0,0,1,0,6,0,0,0,0,0,3,0,0,0,0,0],[3,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,0,2,0,0,0,0,2,0,2,0,1,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,5,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,3,0,0],[0,0,0,3,0,0,0,0,3,0,0,0,4,0,0,0,1,0,0,0],[2,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,3,0,1,0,0,0,1,0,3,0,0,0,0,2,0,0,0],[2,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,3,0,0],[1,0,1,0,2,0,0,4,0,0,0,3,0,0,0,0,0,0,0,3],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,4,0,0,0,0,2,0,3,0,2,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,2,0,0,0,0,0,0,0,3,0,3,0,1,0,1],[0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,2,0,0,3,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,1,0,1,0,2,0,0,0],[1,0,1,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,4,0,1,0,0,3,0,0],[4,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0],[1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0,4,0],[1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,2,0,0,0,0,0,4,0,0,2,0,0,0,0,3],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,2,0,4,0,0,1,0,0],[3,0,1,0,1,0,0,3,0,0,2,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0],] -- [[2,0,4,0,0,0,0,3,0,0,0,2,0,1,0,9,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,1,0,3,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,4,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,7,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,6,0,1,0,6,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,2,0,2,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0],[0,0,0,3,0,0,0,0,0,1,0,2,0,0,0,3,0,0,0,0],[0,4,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,3,0,0,0,0,0,0,3,0,3,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0],[1,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,2],[0,3,0,0,3,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0],] -- [[4,0,0,2,0,0,2,0,0,1,0,3,0,3,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,2,0,0,1,0,1,0,0,0,3,0,0,3,0,2,0],[4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0],[0,0,1,0,2,0,3,0,3,0,0,1,0,0,0,0,3,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,2,0,3,0,2,0,0,2,0,0,2,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,4,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,1,0,2,0,3,0,3,0,0,3,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0],[0,0,0,1,0,5,0,0,0,0,0,0,4,0,2,0,1,0,0,0],[0,0,3,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2],[2,0,0,0,3,0,0,0,2,0,3,0,0,0,0,0,1,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,1,0,2,0,4,0,0,0,1,0,2,0,3,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,2,0,1,0,3,0,3,0,0,4,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[1,0,0,0,4,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,6,0,0,0],[6,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,0,0,0],[5,0,1,0,6,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0],[0,0,0,4,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1],[4,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,4,0,0,0,3,0,0,0],[0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,3,0,0,0,0],[3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,1,0,3,0,0,0,1,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,2,0,0,0,0,3,0,0,1,0,0,0,0,0],[4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,5,0,0,0],[0,0,2,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3],[2,0,0,0,0,1,0,2,0,0,0,3,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,1,0,0,0,2,0,0,2,0,2,0,1,0,2],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,2,0,0],[4,0,0,2,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,1,0,0,0],[0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0],[5,0,1,0,7,0,0,0,0,1,0,0,0,2,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,2,0,0,2,0,1,0,3,0,0,0,2,0,1,0],] -- [[2,0,3,0,0,2,0,2,0,3,0,0,0,1,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,6,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0,2],[0,1,0,4,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,0,0,0,4,0,0,0,0,0,0],[2,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,3,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,2,0],[0,0,0,0,0,0,0,1,0,2,0,0,3,0,0,0,0,0,0,0],[0,0,0,3,0,0,5,0,1,0,0,0,0,0,0,0,0,0,0,3],[0,1,0,0,0,0,0,0,0,3,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0],[0,0,0,3,0,0,1,0,0,0,1,0,3,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,4,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0],[3,0,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],] -- [[1,0,2,0,0,2,0,0,3,0,1,0,3,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,2,0,0,0,1,0,0,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,1,0],[2,0,4,0,0,1,0,3,0,0,0,0,0,5,0,0,2,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[2,0,0,3,0,0,0,0,4,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,7,0,0,0,0,0,2,0,3,0],[4,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0],[0,0,1,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,2,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,0,2,0],[2,0,2,0,0,1,0,0,2,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,2,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,3,0,0,2,0,0,0,0,0,2,0],[3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],] -- [[3,0,1,0,2,0,1,0,1,0,1,0,2,0,2,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,4,0,0,0,2,0,3,0,2,0,0,2,0,0,0],[0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[1,0,5,0,0,1,0,3,0,0,2,0,8,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,2,0],[0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,2,0,3,0,0,0,2,0,2,0,0,0,1],[5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0,1,0,3,0,0,0,1,0,0,0,4,0],[0,0,0,0,0,0,1,0,0,0,0,0,8,0,0,0,0,0,0,0],[0,0,3,0,2,0,0,2,0,0,3,0,0,0,0,4,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,4,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0],[2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,2,0,0],] -- [[1,0,3,0,2,0,0,1,0,2,0,3,0,0,0,1,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,4,0,0,1,0,0,1,0,1,0,3,0,0,0,0,3],[0,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0],[0,0,4,0,0,0,6,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0,1,0,0,0,1,0,10,0,0,0,0,0],[0,1,0,0,3,0,0,4,0,0,3,0,0,3,0,0,0,0,0,1],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0],[0,0,0,1,0,0,7,0,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,4,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,3,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0],] -- [[2,0,0,0,4,0,0,0,0,0,0,0,1,0,0,4,0,0,0,1],[0,0,2,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0],[1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0],[3,0,0,0,4,0,0,0,4,0,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0],[3,0,5,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[4,0,0,1,0,1,0,0,0,2,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,1,0,0,0,0,3,0,0],[0,0,2,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,1,0,0],[0,0,3,0,0,4,0,0,2,0,0,1,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,2,0,0,0,0,2,0,0,3,0,0,0,0,0,1,0],[2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,2,0,0,1,0,0,0,0,3,0,0,4,0,0,0,2,0,2],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0],] -- [[2,0,2,0,1,0,7,0,2,0,2,0,0,1,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,7,0,2,0,0,1,0,0,0,3,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[2,0,2,0,0,1,0,0,0,0,0,0,0,3,0,4,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,1,0,2,0,1,0,1,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0],[0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0],[3,0,0,3,0,0,0,4,0,0,3,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0],[0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,1,0,0,0,0],[4,0,0,0,1,0,0,0,0,0,2,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,10,0,0,0,0,0,0,1,0,0,0,1,0,0,0],[3,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],] -- [[1,0,1,0,2,0,1,0,1,0,2,0,3,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,3,0,0,0,3,0,1,0,0,3,0,2,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0],[0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,3,0,0,8,0,0,0,0,0],[2,0,2,0,3,0,0,0,0,0,3,0,0,0,0,0,0,2,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,2,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0],[0,0,0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,2,0,0,0,0],[4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,1,0,3,0,0,1,0,1,0,0,0,3],[0,0,0,0,0,7,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,0,2,0,0,6,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0],[3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1],] -- [[4,0,3,0,2,0,0,3,0,0,4,0,0,0,0,2,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,2,0,3,0,0,2,0,2,0,4,0],[0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,3,0,2],[0,0,0,0,3,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0],[0,0,5,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,1,0,2,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,1,0,0,0],[2,0,0,1,0,2,0,0,2,0,0,2,0,0,0,0,0,4,0,0],[0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,1],[3,0,0,2,0,0,0,0,0,3,0,2,0,0,2,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0],[1,0,2,0,3,0,2,0,0,0,2,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,4,0,0,1,0,3,0,0,3,0,1,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,2,0,0,3,0,0,0,0,2,0,0,3,0,2,0],[0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,5,0,0,0,4],[1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,3,0,0,1,0,0,3,0,2,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,4,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[2,0,4,0,0,0,0,0,0,0,0,3,0,4,0,0,0,0,1,0],[0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,1,0,0,2],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,0,0,0,1,0,0,1,0,0,0,3,0,0,0],[0,0,2,0,0,0,0,0,3,0,0,1,0,2,0,0,0,0,2,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0],[5,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2],[2,0,0,0,4,0,0,0,3,0,0,3,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- [[5,0,1,0,3,0,1,0,1,0,3,0,0,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,1,0,1,0],[0,0,0,0,0,4,0,0,0,0,1,0,0,2,0,3,0,2,0,3],[2,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,3,0,0,0,0,0,4,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,0,1],[3,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,3,0,0,0,0,0,0],[0,3,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,3,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0],[8,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,1,0,0,0,0,0,0,3,0,0,5,0,0],[4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,5,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,1,0,5,0,0,4,0,2,0,0,1,0,4,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,4,0,0,3,0,3,0,0,0,4],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0],[1,0,0,0,0,0,1,0,0,4,0,0,3,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,7,0,2],[0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,1,0,6,0,0,0,2,0,1,0,0,0,0,0],[0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,3,0,0,2,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,6,0,6,0,0,2,0,0,1,0,3,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,3,0,0],] -- [[0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,4,0,4,0,5,0,2,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2],[0,3,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0],[0,0,0,2,0,1,0,4,0,0,3,0,0,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[3,0,2,0,0,0,0,4,0,0,1,0,2,0,1,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,8,0,2],[0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,4,0,3,0,0,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,3,0,0,0,3],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,2,0,1,0,0,0,1,0,0,4,0,3,0,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,2,0,3,0,1,0,0,2,0,0,0,3,0,0,4,0,1],] -- [[1,0,2,0,0,2,0,1,0,3,0,0,3,0,1,0,2,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,4,0,0],[0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,3,0,0,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,1,0,8,0,0,0,0,0,0,0,0,0,1,0,0,0],[3,0,0,0,0,0,0,0,0,2,0,0,2,0,2,0,0,2,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1],[0,0,3,0,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,5,0],[0,0,0,0,0,0,0,0,1,0,0,0,3,0,2,0,0,0,0,0],[2,0,7,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0,0,0,1,0],[0,0,0,0,3,0,4,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,4,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,2,0],[0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1],] -- [[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,5,0,1,0,0,0,1,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0],[3,0,0,0,2,0,0,3,0,0,2,0,1,0,1,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0],[0,0,4,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,2],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,5,0,1,0,4,0,0,0,1,0,3,0,0,3,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,1,0,0],[0,0,0,2,0,0,0,0,0,7,0,0,3,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0],[0,0,2,0,2,0,0,0,0,0,0,0,0,0,4,0,2,0,0,0],[0,0,0,0,0,0,6,0,2,0,0,0,0,0,0,0,0,1,0,2],[1,0,1,0,0,0,0,0,0,0,0,3,0,1,0,2,0,0,0,0],[0,1,0,0,0,3,0,1,0,1,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,1,0,1,0,0,2,0,0,2,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,3,0,0,2,0,0,0,3,0,1,0,0,2,0,0,2],] -- [[1,0,2,0,0,1,0,1,0,3,0,0,0,1,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,0,1,0,2,0,0,1,0,3,0,1,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,3,0],[0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,2,0,0],[5,0,0,5,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,4,0,0,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,8,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0],[3,0,1,0,0,0,0,0,0,2,0,0,1,0,2,0,9,0,2,0],[0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,2,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0],[0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1],] -- [[3,0,0,0,2,0,3,0,1,0,3,0,0,0,1,0,4,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,2,0,1,0,3,0,0,0,0,0,0,2],[0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,1,0,0,0,0],[2,0,2,0,0,0,0,1,0,2,0,0,0,1,0,0,5,0,0,0],[0,0,0,0,2,0,3,0,0,0,0,0,0,0,4,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,2,0,2,0],[0,0,0,5,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,3,0],[2,0,3,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0],[3,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,1],[0,0,2,0,0,1,0,0,0,0,4,0,0,1,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,3,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,1,0,3],[0,0,0,0,3,0,0,0,0,0,0,0,5,0,0,1,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0],] -- [[1,0,1,0,3,0,1,0,1,0,1,0,3,0,0,2,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,2,0,0,0,1,0,2,0,0,2,0,0,0,0,1,0,3,0],[0,0,0,0,0,4,0,0,0,0,2,0,0,3,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,4,0,0,2,0,0,1,0,2],[4,0,0,0,0,0,1,0,3,0,1,0,0,0,0,0,6,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,5,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2],[4,0,0,0,0,1,0,2,0,0,3,0,0,2,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,1,0,0,0,0,0,0,0,1,0],[0,0,2,0,4,0,0,0,0,0,0,2,0,2,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,4,0,0,0,3,0,1,0,0,0],[0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,4],[0,0,0,0,0,4,0,0,0,6,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,4,0,0,4,0,3,0,3,0,0,7,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[2,0,0,1,0,0,0,0,6,0,2,0,0,0,0,0,3,0,0,0],[0,0,12,0,0,0,6,0,0,0,0,0,1,0,0,0,0,0,3,0],[5,0,0,0,1,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,2,0],[0,0,4,0,0,0,0,0,2,0,0,0,1,0,3,0,1,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,1],[0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,3,0,0,0,0,0,0,0,3,0,2,0,0,0],[0,0,0,5,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,5,0,4,0],[4,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,1,0,1,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,1],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,3,0,1,0,1,0,3,0,3,0,2,0,0,3,0,5,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,4,0,0,0,0,1,0,2,0,0,0,0,0,5],[0,2,0,0,1,0,0,0,2,0,5,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,6,0,2],[0,0,2,0,4,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,5,0,0,0,4,0,2,0,1,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0],[1,0,0,0,0,0,1,0,1,0,0,2,0,3,0,0,0,2,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[4,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,5,0,1,0,0,0,0,5,0,2,0,0,3,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,3,0,2,0,0,3,0,2,0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,4],[0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,7,0,1,0,3],[0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[1,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,0,4,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,1,0,0,0,0,1,0,0,4,0,1,0,0,0,0,0,3,0,0],[0,0,0,0,3,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2],[0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,2,0,0],[2,0,0,0,3,0,0,0,0,3,0,0,0,0,0,2,0,0,0,1],[0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,3,0,0,0],[0,0,0,4,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,3],[0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,2,0,0,3,0,0,0,0,0,1,0,0,1,0,2],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,3,0,0,0,1,0,0,2,0,3,0,0,3,0,0,0,2,0,1],] -- [[2,0,0,3,0,1,0,1,0,13,0,1,0,4,0,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,4,0,0,0,0,0,0,3,0,1,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2],[0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0],[0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,2,0,0,1,0,0,0,1,0,4,0,0,0],[3,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2],[0,0,0,0,2,0,3,0,0,0,0,0,3,0,0,3,0,0,0,0],[0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,4,0,0,1],[1,0,2,0,4,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,5,0,0,0],[3,0,0,2,0,0,0,0,0,0,0,1,0,4,0,0,0,0,2,0],[0,0,0,0,0,3,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,4,0,0,3,0,0,2,0,1,0,1,0,2,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,0,0,3,0,0,0,2,0,0,0,2,0,2],[0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,0,3,0,0,0,0,0,6,0,0,0,3,0,0,0],[0,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,6,0,3,0,0,4,0,0,0,0,0,0],[1,0,0,0,6,0,1,0,0,0,0,0,0,0,0,0,3,0,3,0],[0,6,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0],[4,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,8,0,5,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0],[0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],] -- 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[[2,0,3,0,0,4,0,3,0,0,1,0,2,0,1,0,3,0,5,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,2,0,7,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[2,0,0,0,4,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,3,0,0],[3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,4,0,5,0,2,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[1,0,3,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[4,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,3,0,1,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,4,0,0],[1,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,3,0,1,0,0,2,0,0,0],[2,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- 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[[1,0,3,0,0,2,0,3,0,1,0,4,0,4,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,1,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,3,0,3,0,0,1,0,6,0,0,1,0,0,0],[2,0,1,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,1],[0,3,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,3],[0,0,0,8,0,0,0,3,0,0,3,0,0,0,3,0,1,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,7,0,0,3],[0,0,6,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,3,0,3,0,0,0,3,0,1,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2],[0,0,1,0,0,0,0,0,1,0,0,0,0,0,6,0,0,0,0,0],[4,0,0,0,3,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1],] -- [[2,0,0,1,0,2,0,3,0,0,0,3,0,3,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,4,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,3,0,0,1,0,2,0,2,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[3,0,1,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,5,0,0,0,0,1,0,0,0,1,0,1,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,0,0,0,3,0,0,1,0,3,0,1],[0,0,0,3,0,8,0,0,2,0,0,8,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,5,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,3,0,1,0,3,0,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,2,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],] -- [[2,0,7,0,3,0,0,0,1,0,0,2,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,5,0,0,0,3,0,2,0,0,4,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2],[0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[3,0,0,0,0,2,0,0,0,0,7,0,0,0,2,0,0,1,0,0],[0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,1,0,1,0,0,0,0,0,4,0,0,0],[1,0,0,0,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0],[2,0,0,0,4,0,0,0,0,0,2,0,0,0,3,0,0,0,0,1],[0,0,3,0,0,0,0,0,3,0,0,0,3,0,0,0,0,2,0,0],[3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0],[0,0,3,0,0,2,0,3,0,0,0,0,6,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0],[0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[2,0,0,2,0,0,2,0,1,0,1,0,1,0,2,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,3,0,0,2,0,1,0,1,0,0,1,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[2,0,3,0,5,0,0,3,0,0,2,0,0,0,4,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,2,0,0,0,2,0,0,3,0,0,0,0,0,0,2,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,1,0,4,0,1,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,5,0,0,0,0,0,3,0,2,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,3,0,0,0,0,0,3,0,0,1,0,4,0,2,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,2],[0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0,2,0,1],[3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,4,0,0,0,1,0,4,0,0,3,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[1,0,2,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0,9,0,0],[3,0,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,3,0,0,3,0,0,0,2,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,0],[0,0,0,0,4,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,1,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,2,0,0,0,0,0],[1,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0],[0,0,2,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0],[2,0,4,0,0,0,1,0,0,0,0,0,0,0,3,0,0,2,0,2],[0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,3,0,0],] -- 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[[2,0,0,3,0,0,0,3,0,0,0,1,0,1,0,4,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,6,0,0,2,0,0,4,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,3],[2,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,3,0,0,0,0,7,0,0,3,0,0,0,0,0,0,1],[0,0,3,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0,0],[8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,0],[0,0,0,0,2,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,1,0,0,0,6,0,3,0,0,0,0],[0,0,0,3,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,3,0,0,0,2,0,0,0,0,3,0,0,2,0,0,0],[0,0,0,0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0],] -- 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[[3,0,1,0,0,2,0,2,0,2,0,0,0,1,0,3,0,0,0,3],[0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,7,0,0,2,0,0,0],[0,0,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0],[2,0,2,0,1,0,1,0,0,0,2,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,3,0,0,1,0,0,0,0,0,3,0,0,0,2,0,0,0],[1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,0,2,0,0,3,0,0,0],[1,0,1,0,4,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,6,0,3,0,0,0],[3,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0],[0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,4,0,0,1,0,0,0,2,0],[4,0,2,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,5,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,5,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[2,0,0,6,0,0,0,3,0,2,0,0,4,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,1,0,2,0,2,0,5,0,0,1,0],[0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,3,0,0,1,0,0,0,2,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,2,0,6,0,0,0,0,1,0,0,0,0,2,0],[3,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,2,0,0,0,1,0,0,2],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[4,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,3,0],[0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,3,0,0,0,0,0],[6,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,2,0,3,0,3,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0],] -- [[0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,3,0,0,1],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,3,0,1,0,0,1,0,0,0,2,0,1],[1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,4,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,1,0,2,0,2],[0,2,0,0,2,0,0,3,0,0,3,0,0,1,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0,1],[1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,2,0,3,0,2,0,1,0,0,0,0,0,4,0,2],[0,2,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,2,0,0,3,0,0,4,0,0],[0,0,0,0,3,0,0,4,0,0,2,0,1,0,0,0,0,0,0,3],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,1,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,2],[0,0,1,0,2,0,3,0,0,0,1,0,0,0,0,0,6,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,2,0,0,0,3,0,3,0,0,2,0,2,0,2],] -- [[0,0,0,3,0,0,2,0,1,0,2,0,1,0,3,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,2,0,1,0,0],[1,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,8,0],[0,1,0,3,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0],[0,0,0,0,0,2,0,2,0,0,1,0,0,0,1,0,0,0,0,0],[3,0,0,3,0,0,0,0,0,4,0,4,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,2,0],[1,0,4,0,0,0,0,0,3,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,3,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,3,0,3,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0],[3,0,2,0,0,0,0,2,0,1,0,0,0,4,0,1,0,2,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,1,0,2,0,4,0,0,0,0,0,3,0,0,2],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,3,0,0,0,1,0,0,0,0,0],] -- [[4,0,1,0,5,0,0,0,4,0,2,0,2,0,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,3,0,0,2,0,0,0,0,2,0,3,0,0,0,2,0,0,2],[2,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,4,0,0,2,0,1,0,0,0,2,0,0,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,5,0,1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,4,0,0,1,0,0,4,0,0,0,0,0,4,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[1,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,0,0],[1,0,0,1,0,3,0,4,0,2,0,0,0,1,0,2,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2],[0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,0,0,1,0,1,0,5,0,0,1,0,1,0,0,0,0,0,2],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[2,0,1,0,1,0,2,0,1,0,3,0,1,0,1,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,10,0,0,0,0,2,0,2,0,0,0,3,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,2,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,2,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,4,0,0,0,2,0],[2,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0],[5,0,2,0,0,1,0,4,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,1,0,0,7,0,0,0,0,0,0,2,0,1,0,2,0,3,0],[0,0,0,3,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0,1,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,2,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[1,0,4,0,0,1,0,1,0,3,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[3,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,4,0],[0,0,0,1,0,0,0,0,2,0,3,0,5,0,1,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,3,0,0,5,0,0,0,0,0,0,1,0,0,0],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,3,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,4,0,4,0,0,1,0,0,0,0,0,0,0,3,0,0],[0,0,4,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0],[2,0,3,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0],[0,0,0,0,1,0,2,0,3,0,0,0,0,0,0,3,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,2,0],[0,0,0,0,3,0,0,3,0,0,6,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,0,0,2,0,0,2,0,0,4,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,1,0,2,0,1,0,3,0,0,4,0,0,0],[0,0,2,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,1],[3,0,4,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0],[0,0,0,0,0,0,2,0,2,0,3,0,0,4,0,0,0,3,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,1,0,0,4,0,0,1,0,2,0,0,0,0,0,0,0],[6,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,0,3,0,0,1,0,0,0,4,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,2,0,0,3,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,3,0,0,2,0,0,1,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,0,0,0,0,2,0,5,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,0],[1,0,3,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,3,0,0,0,4,0,1,0,2,0,2,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,4,0,0,0,0,0,0,0,0,1,0,1,0,2,0,3],[0,1,0,2,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,4,0,0,1,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,4,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,2,0,3,0,0,4,0,0,0,0,0,0,0,0,3],[0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,3,0,0,2,0,4,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2],[0,0,3,0,0,3,0,0,0,1,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,3,0,0,2,0,0,3,0,0,1],[0,1,0,1,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,0,4,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0],[1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1],] -- [[2,0,3,0,0,0,2,0,0,2,0,0,2,0,1,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,3,0,1,0,2,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,1,0],[3,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,8,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0],[1,0,3,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0],[0,1,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,1,0,0,0,0,6,0,0,1,0,3,0,0,0,0],[7,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,2,0,2,0,0,0,0,0,3,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,4,0,0,2,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[1,0,3,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1],] -- [[1,0,3,0,0,2,0,0,3,0,1,0,3,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,3,0,1,0,0,0,1,0,0,0,3,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,0,3,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,1,0,2,0,0],[0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,3],[0,0,6,0,0,0,1,0,2,0,0,1,0,2,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,2,0,0,0,3,0,0,0,0,0,0,3,0],[3,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0],[0,0,2,0,2,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,1,0,1,0,1,0,1,0,2,0,1,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1],[3,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,1,0,0],[0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,1,0,0,2,0],[0,0,5,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,3,0,0,0,3,0,0,0,3,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,5,0,0,2,0,0,0,0,0,1,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,5,0],[1,0,0,0,3,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0],[0,2,0,1,0,0,0,1,0,2,0,1,0,0,4,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1],[0,0,2,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,2,0,2,0,2,0,0,0,0,0,1,0,6,0,0,2,0,0],[5,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,1,0],[0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,5,0,2,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,5,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,2,0,2,0,10,0,1,0,1,0,3,0,2,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,2,0,0,0],[3,0,1,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,1,0,4,0,0,0,0,0,2,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1],[2,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,3,0,0,0,0],[1,0,1,0,0,0,2,0,4,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2],[1,0,2,0,0,1,0,0,0,0,1,0,4,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,3,0,3,0,0,0,1,0,2,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,1,0,0],[0,0,3,0,0,0,0,0,2,0,0,5,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,4,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2],[0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0],] -- [[2,0,0,0,0,0,6,0,0,5,0,0,3,0,0,0,6,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0],[3,0,0,2,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,3],[0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,3,0,2,0,2,0,0,0,3],[0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,3,0,1,0,0,3,0,0,4,0,3],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,3,0,1,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,3,0,1,0,4],[0,0,3,0,1,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,5,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0],[0,2,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0],[0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,4],[0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,0,0,3,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],] -- [[1,0,2,0,1,0,2,0,3,0,3,0,0,3,0,1,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,0,2,0,0,2,0,0,2,0,5,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[1,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0],[0,3,0,0,0,3,0,4,0,0,0,0,2,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,2,0,0,0,0,3,0,0,3,0,0,0,0,5,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[2,0,0,0,1,0,0,3,0,1,0,0,0,2,0,0,0,0,0,0],[0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,5,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,2,0,0,0,1,0,3,0,0,0,0],[3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0],[3,0,0,0,0,0,1,0,1,0,0,4,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[4,0,2,0,0,2,0,1,0,2,0,0,4,0,0,0,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,2,0,0,5,0,0,6,0,0,0,3,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,3,0],[0,0,0,0,4,0,0,0,0,0,1,0,0,0,4,0,1,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,3,0,0],[0,0,0,3,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,2,0,2,0,3,0,0,0,0,4],[0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,3,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0],[0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0],[3,0,5,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,3,0,0,0,3,0,1,0,0,0,1,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2],[0,1,0,0,0,3,0,0,0,0,2,0,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1],] -- [[4,0,0,2,0,1,0,2,0,4,0,0,2,0,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,0,0,0,2,0,1,0,0,2,0,3,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,6,0,0],[0,0,2,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,7,0,0,0,0,0,0,0],[0,0,3,0,0,1,0,0,0,1,0,0,0,0,0,3,0,0,0,0],[3,0,0,0,2,0,1,0,3,0,3,0,0,1,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,3,0,2,0,1,0,1,0],[0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,2,0,0,1,0,0,0,0,0,0,0,5,0,0,1,0,2,0],[4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0],] -- [[1,0,5,0,0,2,0,0,2,0,2,0,3,0,3,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,6,0,0,0,0,0,0,0,0,5,0,3,0,0,0],[0,0,2,0,4,0,0,0,2,0,0,6,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[5,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0],[5,0,0,4,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,1,0],[3,0,0,0,4,0,0,4,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,1,0,0,1,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,0,6,0,0,0,0,0,4,0,0,2,0],[0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0],] -- [[1,0,6,0,3,0,0,2,0,2,0,0,2,0,3,0,1,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0],[0,0,0,0,1,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,3,0,0],[0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,7,0,0,0,0,0,0,0,1,0,4,0,3,0],[0,2,0,1,0,4,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,5,0,0,0,0,3,0,0,0,3,0,0,0,0,3,0,0,2],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,3,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[4,0,0,0,0,5,0,0,5,0,0,0,0,4,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0],[0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0],] -- [[5,0,1,0,1,0,2,0,0,4,0,2,0,2,0,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,5,0,0,0,0,0,1,0,1,0,0,0,3,0],[0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,5,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0],[6,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,1,0,0],[0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,2,0,5,0,0,0,0,1,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,2,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,3,0,0,2],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,1,0,3,0,0,0,1,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,2,0],[2,0,1,0,3,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,3,0,4,0],[0,0,0,0,0,3,0,2,0,0,1,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[9,0,2,0,0,3,0,2,0,0,3,0,0,0,3,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,4,0,0,1,0,3,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,3,0,0,0,0,2,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,4],[2,0,2,0,1,0,4,0,0,0,0,1,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[0,2,0,1,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,1,0],[3,0,0,0,0,0,0,0,0,1,0,9,0,0,4,0,0,0,0,2],[0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,3],[0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,2,0,4,0,0,1,0,0,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,0,3,0,1,0,3,0,0,0,2,0,4,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,1,0,2,0,1,0,0,2,0,0,0,0,0],[0,0,0,0,2,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,2],[0,3,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,0,0,0,5,0,0,0,0,0],[0,0,0,0,2,0,0,2,0,0,0,0,2,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,1,0,0,0,0,1,0,3,0,0,0,1,0,2],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0],[0,4,0,0,4,0,0,0,0,0,0,2,0,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,2,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,3,0,0,2,0,2,0,1,0,4,0,0,0,0,0,0,0,3],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,4,0,0,1,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0],] -- [[2,0,0,3,0,0,0,2,0,2,0,0,3,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,3,0,0,8,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0],[0,0,1,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0],[0,1,0,2,0,0,0,4,0,0,0,0,0,0,4,0,0,1,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,1,0,2,0,0,4,0,0,0,4,0,0],[3,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,10,0,0,0,1,0,0,4,0,1,0],[0,0,1,0,2,0,4,0,0,0,0,1,0,0,2,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,2,0,0,0,3,0,0,0,0,6,0,0,0,4,0,0],[3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,6,0,1,0,0,0,0,0,0,1,0,0,3],[0,5,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[0,0,0,6,0,0,2,0,2,0,0,0,2,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,2,0,0,0,0],[0,0,3,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3,0,2],[0,0,0,0,0,0,0,0,0,4,0,1,0,1,0,0,0,0,0,0],[0,3,0,0,3,0,4,0,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,3,0,0,3,0,0,3,0,4],[0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[1,0,0,0,3,0,0,3,0,1,0,0,0,0,0,3,0,2,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,3,0,0,0,3,0,0,3,0,3,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,4,0,5,0,2],] -- [[0,0,0,2,0,2,0,1,0,1,0,3,0,0,3,0,1,0,3,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,3,0,0,4,0,0,0,0,3,0,3,0],[3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,0,0,0,0,3,0,2,0,1,0,0,0,0,0,0,2,0,0],[0,3,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,2],[0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0],[1,0,3,0,0,3,0,0,3,0,0,4,0,0,2,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0],[0,0,0,3,0,0,2,0,0,1,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,1,0,0,0,0],[3,0,2,0,2,0,0,0,2,0,1,0,0,0,0,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,5,0,1,0,1,0,3,0,0],[0,0,0,1,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0],] -- [[2,0,2,0,2,0,2,0,1,0,1,0,2,0,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,1,0],[2,0,0,7,0,0,0,0,0,0,0,1,0,0,4,0,0,2,0,0],[0,0,8,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,4],[2,0,0,0,0,0,0,0,0,0,3,0,0,0,9,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[0,2,0,0,0,0,0,6,0,2,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,7,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0],[3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,0,0,0],[0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,6,0,0,0,3,0,0,0,0,6,0,0,0,4,0,0],[0,0,6,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0],[2,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,2,0,0,2,0,1,0,2,0,4,0,0,5,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,6,0,0,0,0,2,0,0,0,0,0,0,0,2],[0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0],[7,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,6,0,0,0,0,3,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,1,0,3,0],[0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,3,0,0],[0,0,2,0,2,0,0,2,0,0,0,0,3,0,0,1,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2],[0,0,0,2,0,0,1,0,0,3,0,0,0,0,0,1,0,0,0,0],[0,0,4,0,0,0,0,4,0,0,0,0,0,3,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0],[0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0],[1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0],] -- [[2,0,0,1,0,1,0,1,0,2,0,3,0,0,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,4,0,0,0,3,0,3,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4],[2,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,5,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,2,0,0,2,0,0,0,0,0],[0,3,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,1,0],[1,0,3,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,1],[0,0,0,0,0,0,0,2,0,3,0,0,0,3,0,0,0,3,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3],[0,0,0,0,3,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,0,0,4,0,0,0,0,4,0,0,0,2,0,4,0],[0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,2,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,2,0],] -- [[2,0,0,1,0,3,0,0,0,3,0,1,0,1,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,3,0,3,0,0,0,0,1,0,2,0,0,3,0,0,3],[0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,3,0,0,0,0,0,0,1,0,1,0],[3,0,3,0,0,0,0,0,0,0,0,0,3,0,0,1,0,2,0,0],[0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0],[0,4,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0],[0,0,0,1,0,1,0,2,0,5,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,2,0,2,0],[0,0,0,3,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0],[0,1,0,2,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,3,0,0,0,0,2,0,0,3,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],] -- [[3,0,1,0,2,0,2,0,1,0,2,0,2,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,1,0,4,0,0,3,0,0,3,0,0,0,3],[0,0,0,0,2,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1],[1,0,1,0,0,0,0,2,0,0,3,0,0,0,0,0,3,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,2,0,6,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0],[9,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0],[0,0,1,0,0,0,0,0,1,0,4,0,0,0,0,0,0,4,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,6,0,0,1,0],[3,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[0,1,0,2,0,1,0,0,0,4,0,1,0,0,3,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,1,0,0,4,0,1,0,4,0,3,0,0,0,0,2],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,5],[0,0,0,0,1,0,1,0,0,0,0,0,0,3,0,0,0,3,0,0],[0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,5,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,2,0,0],[0,0,0,0,0,3,0,1,0,0,2,0,0,0,0,0,0,0,0,7],[0,0,0,4,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,3,0,0,0,0,0,3,0,1,0,0,0],[0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0],[0,4,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,4,0,0,2,0,0,0,3,0,1],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,1,0,3],[0,0,5,0,2,0,0,0,0,3,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1],] -- [[0,3,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,4,0,1],[0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,1,0,1,0,0,0,7,0,0,2,0,0,0,3],[0,0,0,0,5,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,6,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,2,0,0,3,0,0,0,0,0,2,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,4,0,0,0,0,2,0,0,4,0,3,0,0,0,0,1,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3],[0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,1,0,6,0,0],[0,0,5,0,1,0,1,0,2,0,0,0,0,0,3,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,2,0,0,0,0,0,3,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0],[0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0],] -- [[3,0,2,0,1,0,3,0,4,0,2,0,0,3,0,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,8,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,3,0],[0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,1],[0,0,0,0,0,3,0,0,0,0,1,0,3,0,0,1,0,0,8,0],[0,0,0,3,0,0,0,3,0,3,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5],[0,2,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,5,0,0,3,0,0,0,4,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[0,3,0,0,0,0,0,1,0,1,0,0,3,0,4,0,0,0,0,0],[0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,5],[0,0,0,1,0,0,3,0,3,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,1,0,0,1,0,0,0,0,2],] -- [[4,0,2,0,0,4,0,0,0,0,1,0,1,0,1,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,1,0,3,0,0,0,0,0,3,0,1,0],[0,0,0,0,0,0,0,2,0,3,0,0,0,4,0,0,0,0,0,0],[0,3,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0],[0,0,0,4,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,5,0,0,4,0,0,0,0,1,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1],[4,0,0,0,0,1,0,4,0,1,0,0,0,0,0,0,7,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,2,0],[0,0,3,0,8,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,3,0,0,2,0,2,0,0,0,0,0,0,0],[3,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,0],[0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0],[2,0,0,1,0,1,0,0,0,4,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[0,3,0,2,0,2,0,0,4,0,0,0,2,0,0,1,0,4,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,1,0,1,0,2,0,0,4,0,0,0,0,0],[3,0,2,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,3,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,1,0,0,0,6,0,0,3,0,0,0,0,0,0,3,0],[6,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,1,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0],[1,0,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,1,0,3,0,3,0,0,4,0,0,0,0,2,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,1,0,4,0,0,0,0,0,3,0,0,3],[3,0,0,1,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,4,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0],] -- [[0,0,3,0,0,0,0,0,3,0,0,3,0,0,0,0,0,3,0,2],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,6,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,7,0,0,0,0,0,0,0,2,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4],[0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,3,0,0,5,0,0,2,0,0,4,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,2,0,6,0,0,0,2,0,0,6,0,0,0,0,2,0,5],[0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,4,0,0,1,0,0,0,1,0,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,3],[0,0,0,0,2,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,3,0,0,0],[2,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0],[0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,3,0,0,0,1],] -- [[2,0,2,0,6,0,1,0,3,0,2,0,3,0,3,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,4,0,3,0],[3,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,6,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,3,0,2,0,0,3,0,0,0,3,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,2,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,1,0,0,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,2,0,0,0,3,0,1,0,0,0,2,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,3,0,0,0,0,3,0,0,0,0,2,0,3,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,0,0,0,0,4,0,4,0,0,4,0,0],[2,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0],] -- [[2,0,0,2,0,2,0,2,0,0,1,0,4,0,0,1,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,2,0,0,1,0,3,0,0,3,0,0,0,1,0],[0,0,0,0,3,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0],[5,0,0,0,0,0,3,0,0,1,0,0,0,0,2,0,0,3,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,3,0,0,0,0,0,4,0,0,0,0,0],[0,0,3,0,0,0,2,0,0,0,0,3,0,0,0,0,0,3,0,0],[3,0,0,0,0,0,0,0,2,0,4,0,0,0,1,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,3],[0,1,0,0,0,0,3,0,8,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,2,0,1,0,2,0,3,0,0,0,0,3,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0],[0,0,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,3,0,0],[0,0,1,0,0,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[0,0,0,1,0,0,0,0,4,0,0,0,3,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0],[0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,3,0,0,0,0,0,5,0,1,0,2,0,0],[0,2,0,0,3,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,2,0,0,0],[0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,4,0,2,0,0,0,0,2,0,0,2,0,1,0,1],[3,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,1,0,4,0,2,0,1,0,0,0,0,3,0],[2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,1],[0,1,0,0,3,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,3,0,3,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,2,0,0,3,0,0,0,0,0,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,4,0,1,0,0,3,0,3,0,3,0,1,0,0,0,3],] -- [[0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2],[0,3,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,1,0,0,0],[1,0,2,0,0,0,0,2,0,0,3,0,0,0,1,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,3],[0,0,0,0,3,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,4,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0],[1,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,1,0,0,2],[0,0,3,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,3,0,0,0],[0,2,0,1,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,3],[0,0,0,0,0,4,0,0,3,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,4],[0,0,0,0,0,0,0,6,0,0,0,0,0,0,7,0,0,2,0,0],[0,3,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,0,0,0,2,0,1,0,0,2,0,2],] -- [[1,0,5,0,0,2,0,0,0,0,0,1,0,1,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,1,0,0,0,0,0,3,0,0,4,0,2,0],[0,0,1,0,4,0,0,0,6,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,2,0],[0,0,0,1,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,4,0,0,0,2,0,0,3,0,0,2,0,0],[3,0,3,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,0,3,0,0,0],[1,0,3,0,0,0,0,4,0,3,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,4,0,3,0,0,2],[1,0,0,0,0,4,0,0,0,0,3,0,3,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0],] -- [[2,0,4,0,1,0,1,0,1,0,3,0,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,1,0,2],[2,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0],[2,0,0,1,0,1,0,2,0,0,0,2,0,3,0,0,2,0,0,0],[0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,3,0,0],[1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,3,0,0,0,0,7,0,0,4,0,0,0,0,0,2,0],[0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0],[1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,0,1],[0,0,3,0,0,0,4,0,0,0,2,0,0,0,1,0,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[5,0,4,0,0,1,0,3,0,6,0,1,0,2,0,1,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,1,0,3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,2,0,0,3,0,0,3,0,0,0,0],[6,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,1,0,1],[0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,4],[0,1,0,0,3,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[0,5,0,0,2,0,0,3,0,0,0,0,0,0,2,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,3,0,0,0,0,0,3,0,0,0,0],[0,0,2,0,0,0,0,5,0,0,0,0,0,0,4,0,0,0,3,0],[0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,1,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,1,0,3,0,3,0,3,0,0,4],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,3,0,0,2,0,0,0,0,0,1],[0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,3],[0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,3,0,0,3,0,0,3,0,0,0,0,2],[0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,5,0,1,0,0,0,0,1,0,2,0,1,0,0,0,2,0,1,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1],[0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,1,0,0,0,0],[0,2,0,0,1,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,2,0,3,0,0,3,0,4,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,3,0,1,0,0,2,0,0,2,0,2,0,0,2,0,1],] -- [[1,0,6,0,0,0,1,0,2,0,0,4,0,0,0,4,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,2,0,0,3,0,0,0,2,0,0,0,0,4,0,0],[0,0,4,0,1,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0,3,0],[0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,3,0,0,0,0],[0,0,5,0,0,0,0,2,0,0,0,0,0,0,3,0,0,3,0,0],[3,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,4,0,0,4,0,0,0,2,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,4,0,1],[0,0,3,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,1],[4,0,0,0,4,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,4,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- 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[[4,0,4,0,0,0,0,3,0,1,0,3,0,0,0,2,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,1,0,2,0,0,3,0,4,0,0,0],[0,0,4,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0],[0,3,0,0,0,0,3,0,0,0,4,0,0,2,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,1,0,0,0,0],[3,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,1,0,0,2,0,0,0,3,0,0,1,0,3,0,0],[3,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,6,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,3,0,2,0,0,0,0,2,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4],[0,0,0,0,2,0,2,0,0,0,0,1,0,0,0,5,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0],[2,0,3,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0],] -- [[1,0,2,0,0,3,0,1,0,2,0,0,1,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,6,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,1],[0,0,0,0,0,0,3,0,0,0,3,0,0,4,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0],[0,0,1,0,0,3,0,0,0,0,1,0,0,0,0,1,0,0,0,0],[3,0,0,4,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,2,0,3,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[8,0,0,0,0,0,0,0,0,1,0,0,3,0,0,1,0,1,0,0],[0,0,0,0,0,2,0,4,0,0,1,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0],[0,0,2,0,3,0,1,0,2,0,2,0,4,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2],[0,0,1,0,0,5,0,0,2,0,2,0,0,0,2,0,3,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1],] -- [[2,0,2,0,1,0,3,0,0,2,0,1,0,2,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,2,0,0,4,0,0,0,0,1],[5,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,4,0,0],[1,0,1,0,0,3,0,0,6,0,0,6,0,0,0,3,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,4,0,4,0,0],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,7,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,0,0,0,3,0,0,3,0,0,0,3,0,0,0,2,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,3,0,0,0,3,0,1,0,0,0,4,0,0,0,1],[0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,3,0,0,0,1,0,2,0,1,0,3,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,1,0,0,3,0,0,0,0,2,0,2,0,0],[0,0,1,0,4,0,1,0,3,0,0,0,0,2,0,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0],[0,4,0,0,0,13,0,0,0,0,2,0,0,2,0,0,0,0,0,2],[0,0,0,2,0,0,0,2,0,1,0,0,0,0,0,3,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0],[0,0,2,0,0,0,0,0,0,1,0,0,2,0,8,0,2,0,0,0],[3,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,3,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,2,0,3],[3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,4,0,0,0,0,2,0,0,0,3,0,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0],] -- [[1,0,1,0,1,0,2,0,3,0,0,0,3,0,0,1,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,0,2,0,0,1,0,2,0,6,0,0,0,0,0],[0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,3,0,0,1,0,2,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,1,0,2,0,6,0,0,0,3,0,0,1,0,1],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,0,3,0,0,1,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,1,0,0,2],[3,0,3,0,0,0,0,1,0,0,0,0,2,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,1,0,0,0,0,2,0,0,2,0],[9,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,4,0,0,0,0,0,4,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1],] -- [[4,0,2,0,0,1,0,2,0,1,0,2,0,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,4,0,0,2,0,0,1,0,4,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,0,2,0,0,3,0,0,0,0,0],[4,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,3,0,1,0,0,0,0],[0,0,3,0,1,0,0,0,0,1,0,0,0,0,0,0,3,0,3,0],[6,0,0,0,0,0,0,4,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0],[0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3],[2,0,0,0,0,0,0,2,0,0,1,0,0,5,0,0,0,0,0,0],[0,0,7,0,0,0,2,0,0,0,0,3,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[2,0,1,0,3,0,0,0,0,0,1,0,2,0,5,0,0,5,0,0],[0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0],[2,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,1,0,0,0],[0,0,3,0,0,1,0,2,0,0,1,0,0,0,0,0,0,5,0,0],[3,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,4,0,0,0,0,3,0,2,0,0,3,0,0,0,4,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,4,0,0,6,0,0,0,0,1,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,2,0,0],[0,0,0,1,0,4,0,0,1,0,0,0,2,0,0,0,0,0,0,1],[3,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0],[0,0,0,3,0,0,5,0,0,0,0,7,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],] -- 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[[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,1,0,2,0,0,0,3,0,3,0,0,0,2],[0,0,3,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,1],[0,1,0,2,0,0,4,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,1],[0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,4,0,0,1,0,0,0,0,3,0,0,0,4,0,1,0,0],[1,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,2],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,0,0,2,0,3,0,0,2,0,3,0,0,3,0,1],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3],[0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,6,0,5,0,2],[0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,4,0,0,1,0,0,2,0,0,3,0,0,5,0,0,1,0,1],] -- [[1,0,1,0,1,0,1,0,1,0,2,0,2,0,4,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,2,0,0,0,6,0,0,5,0,0,4,0,1,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,3],[0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,3,0,0,0,3,0,0,0,1,0,1,0,2,0,0],[0,1,0,0,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,3,0,2,0,0,0,0,3,0,0,0,0,3,0,3,0,2,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,5,0,0,0,4,0,0,2,0,0,3,0,4,0,1],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,1],[0,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,2,0],[2,0,0,0,3,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,3,0,0,0,2,0,0,3,0,3,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,1,0,5,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,3,0,3,0,3,0,0,0],[0,0,0,0,3,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0],[7,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,3,0,2,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,3,0,0,0,1,0,3,0,0,1,0,1,0,0,3,0,0,0],[5,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,3,0,3,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[3,0,0,0,0,1,0,3,0,0,0,5,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,2,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,1,0,0,2,0],] -- [[4,0,2,0,0,2,0,0,3,0,3,0,2,0,6,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0],[7,0,0,0,4,0,0,2,0,4,0,0,0,0,1,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,0,2,0,0,0,2,0,0,0],[0,0,0,0,2,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,1,0,0,0,0,3,0,1,0,0,0,0,0,0,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,2,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,2,0,0,2,0,0,0,1,0,2,0,1,0,0],[5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,3,0,0,3,0,2,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,2,0,0,0,0,0,0,0,0,3,0,0,3,0,1],[3,0,0,0,1,0,0,1,0,2,0,0,3,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,2,0],] -- [[1,0,1,0,2,0,2,0,0,1,0,1,0,2,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,2,0,0,3,0,0,0,2,0,3,0,0,0,2,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,4,0,0,0,2,0,2,0,7,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,2,0,0,0,1,0,3,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,1],[0,0,2,0,0,1,0,1,0,0,0,0,0,3,0,3,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0],[0,3,0,3,0,0,0,1,0,0,4,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1],[0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,2,0,0,0,1,0,0,4,0,0,0,0,0,3,0],[1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,1,0,0,0,0,0,0],[2,0,2,0,3,0,0,0,0,0,0,1,0,0,3,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[2,0,1,0,2,0,2,0,0,2,0,1,0,1,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,2,0,3,0,0,3,0,2,0,0,5,0,2,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0,1,0],[4,0,0,3,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0],[0,0,2,0,2,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,10,0,0,0,0,1,0,4,0,0,0],[0,0,4,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,3,0],[8,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0],[0,0,1,0,2,0,0,0,0,3,0,0,1,0,7,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[1,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1],] -- [[2,0,0,3,0,2,0,2,0,0,3,0,0,1,0,2,0,4,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,1,0,2,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,1,0,3,0,0,3,0,0,1,0,2],[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0],[1,0,3,0,0,0,2,0,0,1,0,0,0,0,3,0,0,1,0,0],[0,0,0,0,3,0,0,0,1,0,0,0,4,0,0,0,6,0,2,0],[3,0,1,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0],[0,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0],[3,0,0,1,0,0,1,0,0,0,0,0,2,0,0,7,0,0,0,0],[0,0,1,0,1,0,0,1,0,3,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3],[0,4,0,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,2,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,0,3,0,0,4,0,0,0,0,0,2,0,3,0],[0,0,2,0,0,0,0,0,3,0,0,0,0,5,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0],[0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,6,0,0,0,1,0,0,0,0,5,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[1,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,5,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,4,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,2,0,0,5,0,1,0,0,0,3,0,0,0,2,0,0],[1,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,2,0,0,4,0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,2,0,2,0,2,0,3,0,0,4,0,0,0,3,0],] -- [[2,0,0,1,0,2,0,0,2,0,0,3,0,2,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,3,0,3,0,0,0,0,0,1,0,3,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,3],[1,0,0,0,0,0,0,0,4,0,1,0,0,2,0,0,0,0,0,0],[0,4,0,0,2,0,0,0,0,0,0,3,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,3,0,0,0,3,0,0,1,0,4,0,0,0,0,4,0,0],[0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3],[0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0],[0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3],[3,0,0,0,0,0,1,0,0,0,0,3,0,0,2,0,3,0,0,0],[0,0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,5,0,0,5,0,1,0,4,0,0],[2,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[5,0,1,0,2,0,0,4,0,5,0,0,3,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,5,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0],[0,0,5,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1],[4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,1,0,2,0,1,0,1,0,0,0,1,0],[0,0,2,0,0,0,5,0,0,0,0,0,0,2,0,4,0,0,0,1],[0,0,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,0,0,1,0,3,0,0,0,4,0,0,0,3,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,2,0,0],[2,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,2],[0,0,8,0,2,0,0,3,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,3,0,0,0],[4,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1],] -- [[1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,1,0],[8,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,2,0,0,0],[0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,2,0,0,0,0,3,0,2,0,0,3,0,0,0,0],[0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0],[1,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,4,0,2,0,0,0,0,0,0,0,1,0,3,0,0,0],[2,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,2,0,0,6,0,0,0,3,0,5,0,0,0],[0,0,2,0,0,3,0,0,0,0,0,3,0,0,0,0,0,2,0,0],[1,0,0,2,0,0,0,2,0,0,1,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,3,0,0],[0,0,3,0,0,3,0,0,0,4,0,0,1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,4,0,0,0,3,0,0,1,0,2,0,0,2,0,3,0,0,2],] -- [[3,0,0,0,2,0,0,1,0,2,0,0,4,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,2,0,2,0,0,1,0,5,0,0,6,0,0,2,0,3],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,4,0,1,0,4,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,2,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,4,0],[0,0,2,0,2,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,0,2,0,0,3,0,1,0,2,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0],[0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,5,0,0,0,2,0,0,1,0,0,0,0,0,4,0],[2,0,3,0,0,0,0,0,0,0,0,4,0,1,0,0,0,2,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,1],[0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1],] -- [[2,0,0,2,0,3,0,0,2,0,0,3,0,0,4,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,3,0,0,3,0,0,0,2,0,2,0,4,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,1,0],[4,0,0,2,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,2,0,3,0,1,0,2,0,0],[0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,2],[1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,1,0,0,0,0,0,7,0,0,0,3,0,0],[0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0],[3,0,1,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,1,0,1,0,4,0,0,3,0,0,1,0,0],[3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,1,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2],[2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],] -- [[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[2,0,0,0,1,0,1,0,3,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,1,0],[1,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,3,0,3,0],[0,0,0,0,0,2,0,0,0,2,0,0,0,0,2,0,0,1,0,0],[3,0,0,3,0,0,0,0,0,0,1,0,3,0,0,0,1,0,0,0],[0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,1,0,2],[0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,2,0,0,0,0,1,0,3,0,0,0,4,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,0,0,1,0,3,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,3,0,3,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,2,0,0,1,0,2,0,3,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,5,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,4,0,0,4,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,1,0,2,0,2,0,3,0,0,0,2,0,0,3],] -- 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[[2,0,3,0,0,0,2,0,2,0,2,0,0,2,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,1,0,1,0,0,0,5,0,0,3,0,2,0,2,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[2,0,1,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,5,0,0,0,0,1,0,2,0],[0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,4,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,5,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0],[0,0,0,2,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,1,0,0,2,0,0,0,3,0,0,3,0,0,0],[0,4,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,3,0,0,3,0],[2,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0],] -- 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[[2,0,7,0,2,0,1,0,1,0,2,0,0,3,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,3,0,0,0,2,0,0,0,1,0,2],[3,0,0,0,0,0,3,0,5,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,2,0,2,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,1,0,0,3,0,3,0,3,0,2],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0],[0,4,0,0,0,3,0,0,6,0,0,0,3,0,0,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2],[0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0],[3,0,0,4,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],] -- 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[[0,1,0,0,2,0,0,3,0,0,3,0,1,0,0,3,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,7,0,0,3,0,1,0,2,0,0,0,0,5,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,2],[0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,3,0,0,0,2,0,0,3,0,0,2,0,0,1,0,0,2],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,3,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,3],[0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,1,0,3,0,0,0,0,4],[0,0,2,0,0,0,1,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,0,2,0,0,4,0,0,0,0,0,6,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4],[0,0,0,3,0,0,2,0,0,0,1,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,3],[0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,2,0,0,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,2],] -- [[3,0,0,3,0,2,0,3,0,2,0,1,0,3,0,2,0,4,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,8,0,2,0,1,0,1,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0],[0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,1,0,0,0],[0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,3],[0,0,0,0,0,0,3,0,0,0,1,0,0,0,2,0,1,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,5,0,0],[0,0,1,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,2,0,0,0,2,0,0,5,0,0,0,0,0,0,0,1],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0],[0,0,3,0,0,4,0,0,0,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,1,0,3,0,2,0,2,0,1,0,0,0,4],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],] -- [[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[1,0,1,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,2,0],[0,0,0,4,0,0,0,0,0,0,1,0,3,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,2,0,0],[0,3,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0,0,2,0,0],[3,0,0,0,4,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0],[0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,3,0,0,0,0,0,0,2,0,0,3,0,0,1,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0],[0,0,0,3,0,0,4,0,0,0,3,0,0,3,0,0,0,1,0,0],[0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0],[0,4,0,0,0,0,0,1,0,1,0,2,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,2,0,2,0,1,0,1,0,2,0,1,0,2,0,0,4],] -- 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[[4,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,3,0,3,0,0,3,0,1,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[4,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,2,0,0],[0,0,3,0,1,0,3,0,0,2,0,0,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,2],[0,0,0,0,2,0,1,0,0,0,2,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,3,0,0],[0,4,0,1,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,9,0,3,0,0],[0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,3,0,2,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,1,0,1,0,0,2,0,0,2,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1],] -- [[3,0,2,0,3,0,2,0,1,0,2,0,2,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,6,0,0,0,1,0,4,0,0],[0,1,0,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0],[1,0,3,0,0,0,2,0,2,0,2,0,1,0,0,1,0,0,2,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[5,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1],[0,0,1,0,2,0,0,2,0,0,2,0,0,1,0,2,0,0,0,0],[0,0,0,3,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,3,0,0],[1,0,2,0,0,0,0,0,2,0,0,0,0,3,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,3],[1,0,0,3,0,0,1,0,7,0,0,0,0,0,3,0,0,0,0,0],[0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,1,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,2],[0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0],] -- [[2,0,3,0,2,0,0,2,0,0,1,0,2,0,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,2,0,1,0,6,0,0,0,1,0,1,0,2],[3,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,7,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,3,0,0,2,0,0,0,0,0,0],[4,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,0,0,1,0,0,2,0,3,0,2,0,1,0,0,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[2,0,3,0,0,0,0,0,0,0,1,0,0,1,0,0,3,0,0,1],[0,0,0,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0],[3,0,2,0,0,1,0,0,0,0,10,0,0,5,0,0,1,0,0,0],[0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,0,2,0,0,3,0,0,0,0,0,0,1,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3],[0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,2,0,0,0,0],[0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,0,0,2,0,0,2,0,0,3,0,3,0,0,3,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,5,0,0,1,0,0,0,3,0,3,0,0,1,0,0],[0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,3,0],[0,0,2,0,0,0,1,0,2,0,0,0,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,4,0],[0,0,0,1,0,1,0,2,0,0,0,4,0,0,0,1,0,0,0,0],[0,0,2,0,1,0,0,0,0,1,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,4,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0],[0,0,0,0,0,2,0,2,0,3,0,1,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,6,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0],[0,0,0,0,3,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,1,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[1,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,2,0,3,0,0,0,4,0,0,0,3,0,1],[0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,6,0,0,3,0,1,0,2,0,5,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,5,0,1,0,0,0,2,0,0,0,2,0,3,0,0,0,0,0],[2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0],[0,0,0,0,5,0,0,0,0,4,0,0,0,2,0,0,2,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,3,0,0,0,0,0,0,2,0,0,2,0,0],[2,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,3,0,0,0,0,0,0,0,2,0,5,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,0,1,0,1,0,3,0,0,0,5,0,0,3,0,3,0,0,1,0],] -- [[4,0,0,2,0,0,1,0,3,0,3,0,0,1,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,1,0,0,0,2,0,4,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,1,0,0],[5,0,1,0,1,0,1,0,0,5,0,0,1,0,0,0,0,0,1,0],[0,0,0,2,0,2,0,3,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,1,0,7,0,0,0,0,2,0,0,0],[2,0,0,5,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,2,0],[0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,1,0,0,0,1,0,3,0,0,0,3,0,0,0,0,3,0],[0,3,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,3,0,0],[0,0,0,2,0,0,0,0,1,0,6,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,0,0,3,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0],] -- [[3,0,6,0,0,0,4,0,0,2,0,1,0,6,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,1,0,2],[0,8,0,0,3,0,2,0,0,2,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,2,0,2,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,1,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,1,0,1,0,2,0,0,3,0,1,0,6,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0],[2,0,0,2,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,3,0,0,2,0,0,0,0,1,0,0,0,0,1,0],[1,0,1,0,3,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0],[3,0,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0],[0,0,1,0,1,0,3,0,0,3,0,0,0,2,0,1,0,1,0,0],[3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0],] -- [[4,0,1,0,1,0,2,0,0,1,0,1,0,1,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,1,0,1,0,2,0,3,0,1,0,1,0,0],[0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0],[2,0,0,0,0,0,0,3,0,0,3,0,2,0,0,0,0,0,0,0],[0,0,0,0,3,0,6,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0],[0,2,0,0,0,2,0,7,0,0,0,0,0,0,0,2,0,0,0,2],[0,0,0,1,0,0,0,0,0,1,0,0,0,4,0,0,0,4,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,4,0,1,0,0,0,0,3,0,0,0,0,3,0,0,0,3],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,3,0,0,0,0,1,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,1,0,1,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0],[0,0,5,0,0,1,0,0,0,0,0,1,0,5,0,0,5,0,0,0],[1,0,0,0,0,0,5,0,0,1,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,0,0,1,0,1,0,1,0,2,0,4,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,3,0,0,0,1,0,0,1,0,2,0,1,0,1,0,2],[0,0,0,1,0,0,0,1,0,4,0,0,0,0,0,0,2,0,0,0],[0,1,0,0,2,0,0,0,0,0,0,2,0,0,2,0,0,0,3,0],[0,0,2,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,0,3,0,1],[0,1,0,4,0,0,0,1,0,2,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,1,0,1,0,7,0,0,0,0,0,3,0,1,0],[0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,1,0,1,0,0,0,3,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,0,2,0,0,0,1,0,3,0,2,0,2,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0],] -- [[3,0,1,0,0,0,1,0,1,0,2,0,0,6,0,3,0,0,1,0],[0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,1,0,5,0,0,1,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,3,0,0,0,0,2,0,0,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,1,0,0,0,1,0,2,0,2,0,0],[0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0],[0,0,2,0,2,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0],[3,0,0,0,0,0,1,0,2,0,2,0,1,0,0,0,0,0,4,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,3,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,3,0,0,2,0,0,0,0,1,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,3,0,0],[0,0,0,1,0,0,6,0,0,1,0,1,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,1,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,1,0,0,0,0,7,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],] -- [[1,0,5,0,4,0,0,4,0,4,0,0,0,2,0,0,4,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,2,0,11,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,3,0,1,0,1,0,0,1,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,3,0,0],[1,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,4],[0,3,0,0,0,6,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,2,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0],[8,0,0,0,0,0,0,3,0,1,0,0,0,0,1,0,0,0,3,0],[0,0,0,0,0,3,0,0,0,0,1,0,6,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,2,0,0,3,0,5,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1],[0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,1],] -- [[0,0,3,0,1,0,3,0,0,0,7,0,1,0,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,1,0,2,0,0],[0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,2,0,3,0,0,3,0,0,2],[0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,3,0,0,0,1,0,0,0,0,7],[0,0,0,1,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,2,0,0,1,0,0,0,3,0,0,1,0,0,0,0,0],[0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0],[1,0,0,0,2,0,0,0,0,4,0,1,0,0,0,1,0,0,0,1],[0,0,3,0,0,3,0,0,0,0,3,0,1,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,1],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0],[0,1,0,0,0,3,0,0,0,1,0,1,0,0,0,0,2,0,0,4],[0,0,1,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0],[0,1,0,0,0,4,0,0,0,0,0,3,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,3],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],] -- [[1,0,2,0,0,3,0,0,2,0,0,3,0,0,2,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,0,2,0,0,0,1,0,3,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[4,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,4,0,0,1],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,3,0,0,0,0,3,0,0,3,0,0],[0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0,0,3,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,5,0,0,0,0],[1,0,1,0,4,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,2,0,0,0,0,4,0,0,0,1,0,3,0,0,0,0,0],[3,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,2,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0],] -- [[3,0,1,0,2,0,0,1,0,3,0,1,0,3,0,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,3,0,0,4,0,0,0,2,0,3,0,0,0,2,0,3,0],[3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,3,0,2,0,1,0,2,0,4,0,0],[0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,3,0,0,0],[2,0,0,3,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,1,0],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,1,0,3,0,1,0,2,0],[0,0,0,8,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,4,0,1,0,0,2,0,0,0],[4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,3,0,0,0,0,0,0,5,0,0,0,0],[3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0],] -- [[4,0,0,0,2,0,0,0,0,3,0,0,4,0,1,0,0,0,0,1],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0],[2,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3],[0,0,2,0,0,2,0,0,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[2,0,0,0,0,4,0,0,0,0,1,0,0,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,9,0,0,0,0,0,2,0,0],[3,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,5,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0],[3,0,0,3,0,3,0,0,0,0,0,0,0,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,2,0,0],[3,0,0,0,2,0,0,3,0,2,0,0,0,0,1,0,1,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,2],[2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,5,0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,3,0,0,0,0,1,0,4,0,0,0,0,0,0],] -- 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[[1,0,4,0,0,0,1,0,3,0,4,0,2,0,0,2,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0,4,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1],[0,0,3,0,1,0,0,1,0,0,0,4,0,0,2,0,0,0,0,0],[3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,1,0,2,0,4,0,0,0,0,0,0,2,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,3],[0,3,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[3,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,3,0,0,0,0,0,0,1,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,1,0,0,0,0,1,0,4,0,3,0,0,1,0],[0,0,6,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,2,0,3,0,0,0,2,0,3],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0],] -- [[3,0,2,0,0,2,0,0,1,0,2,0,2,0,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,3,0,0,0,0,1,0,3,0,1,0,3,0,3],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0],[10,0,0,0,0,0,0,3,0,0,3,0,0,0,3,0,0,0,3,0],[0,0,0,6,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],[0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,3,0,3,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0],[0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,4,0,0],[0,0,0,0,4,0,0,0,4,0,0,0,3,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,5,0,0,0],[2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1],[0,1,0,2,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,3,0,0,1,0],[2,0,0,0,3,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2],[1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[0,2,0,2,0,1,0,0,5,0,4,0,0,3,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,3],[0,4,0,3,0,0,4,0,1,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,1],[0,0,0,0,0,1,0,0,2,0,1,0,0,2,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,4,0,0,0,3],[2,0,0,1,0,4,0,2,0,2,0,0,0,0,0,0,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,1,0,0,0,0],[1,0,0,2,0,0,1,0,0,0,3,0,0,0,3,0,1,0,0,1],[0,0,0,0,0,1,0,6,0,0,0,0,4,0,0,0,0,0,1,0],[0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3],[0,2,0,0,2,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,3,0,0,0,0,0,0,0,5,0,1,0,1,0,1],[2,0,0,0,0,0,0,2,0,0,3,0,0,0,1,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,2],] -- [[1,0,1,0,1,0,2,0,5,0,0,1,0,1,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,0,0,0,3,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,7,0,0,0,0,0,0,1,0,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0],[0,0,0,1,0,2,0,4,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0],[2,0,2,0,1,0,4,0,0,0,0,0,0,2,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2],[0,3,0,0,2,0,0,0,1,0,1,0,3,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,5,0,0,2,0,0,0,4,0,3,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0],[1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,3,0,0,0,2,0,2,0,0,0,0,2,0,0,0],[3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0],[1,0,3,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[1,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,1],[0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0],[1,0,4,0,0,0,0,1,0,1,0,0,3,0,0,0,0,0,1,0],[0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0],[5,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,3,0,0,4,0,2,0,0,0,0,0,0,0,0,0,3,0,0],[3,0,0,2,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0],[1,0,0,7,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,2],[0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0],[1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0],[1,0,0,0,0,5,0,0,2,0,0,0,0,0,0,0,4,0,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,3,0,0,4,0,0,0,3,0,0,3,0,0,0],] -- [[2,0,0,2,0,0,2,0,3,0,0,4,0,0,2,0,4,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,0,1,0,3,0,1,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,1,0,0,0,0,0,3,0,0,3,0,0],[10,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0],[0,0,1,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,3,0,0,1,0,4,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,2,0,0,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,3],[1,0,1,0,4,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0],[0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,2,0,0,0,0],[1,0,4,0,0,0,2,0,2,0,2,0,1,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,2],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,0,2,0,0,2,0,0,2,0,2,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,2,0,2,0,0,3,0,0,4,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,2,0,0],[0,5,0,0,3,0,0,0,0,3,0,0,0,1,0,2,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,2,0,4,0,0,2,0,0],[3,0,0,3,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,3],[2,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,3,0,0,0,1,0,1,0,3,0,0,0,0,0,2,0,0,0],[1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,4,0,0,0,7,0,1,0,1,0,4,0,0,3,0,0],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,1,0,2,0,0,3,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0],] -- 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[[1,0,2,0,4,0,0,2,0,3,0,4,0,0,1,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,1,0,0,0,2,0,0,3,0,1,0,1,0,2,0,2,0],[0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,1,0,2,0,0,0,3,0,3,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,3,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,1,0,0,3,0,1,0,0,0,0,3,0,0,0,0,4,0,0,0],[0,0,14,0,0,0,0,1,0,2,0,0,0,3,0,0,0,0,0,3],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,2,0,0,3,0,0,2,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,1,0,0,3,0,0,0,0,0],[0,3,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,5,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,2,0,2,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],] -- 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[[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,2],[0,4,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,2],[0,0,0,3,0,1,0,0,0,5,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2],[1,0,2,0,0,0,0,0,8,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,1,0,1,0,0,0,1,0,3,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0],[3,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,5,0,1],[0,0,0,0,0,0,0,0,3,0,2,0,1,0,3,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,2,0,0,2,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,2,0,0],[2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0],[0,1,0,2,0,0,4,0,0,0,0,0,0,0,6,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,3,0,8,0,0,4,0,1,0,0,0,6,0,1],] -- [[1,0,2,0,0,3,0,3,0,0,2,0,0,3,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,2,0,0,0,1,0,3,0,2,0,0,0,5,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,2,0,1,0,3,0,0,0,0,1,0,0,0,0,0,0,3,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0],[0,0,0,1,0,2,0,2,0,0,2,0,0,1,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1],[3,0,0,3,0,0,0,2,0,0,0,2,0,4,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,3,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,4,0,0,0,0],[2,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,1,0,0,3,0,0,1,0,4,0,1,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0],[2,0,3,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,2],[0,0,0,0,1,0,2,0,0,0,2,0,3,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1],] -- 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[[1,0,1,0,2,0,2,0,4,0,0,0,3,0,5,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,1,0,1,0,8,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,1,0,5,0,0,3,0,0,2,0,0,0,0,0,1,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,2,0,0,0],[2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,3,0,0,0,0,0,4,0,1,0,3,0,0],[0,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,2,0,0,2],[0,0,2,0,0,5,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,3,0,3,0,0,0,0,3,0,0,3,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0],[1,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,1],] -- [[2,0,3,0,3,0,0,1,0,3,0,2,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,0,0,0,1,0,2,0,2,0,1,0,2],[8,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,0,1,0,0,4,0,0,0,0,0,0,3,0],[0,0,0,1,0,0,3,0,0,2,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,1,0,2,0,1,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,1,0,3],[2,0,6,0,0,0,0,0,0,0,0,0,0,4,0,6,0,0,0,0],[0,0,0,0,0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,4,0,0,0,0,0,3,0,0,0,2,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,2,0,0,0],[0,0,0,0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,2,0,0,0,0,0,1,0,2,0,3,0,3,0],[0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,2,0],] -- [[1,0,2,0,0,3,0,0,0,1,0,3,0,1,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,3,0,0,2,0,1,0,0,0,3,0,0,2,0,2,0],[0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,4,0,0],[1,0,4,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,2,0,1,0,0,0,0,0],[6,0,0,0,3,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,2],[1,0,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,1,0,0],[2,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0],[0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4],[2,0,0,0,2,0,1,0,0,0,3,0,0,0,2,0,0,1,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,3,0,0,0,1,0,0,0,1,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,2],[0,0,0,0,0,3,0,0,0,0,4,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0],[2,0,2,0,0,0,0,0,5,0,1,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,3],[0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,2,0,0,0,0],[0,3,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,2],[0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,4,0,0],[0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2],[4,0,0,4,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,4,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,0,0,4,0,0,0,3,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,4,0,1,0,1,0,0,8,0,0,2,0,1],] -- [[2,0,3,0,0,3,0,2,0,0,2,0,1,0,1,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,1,0],[1,0,4,0,0,0,4,0,0,0,7,0,0,5,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,4,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,6,0,4,0,0,1,0,1,0,6,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[3,0,0,0,0,5,0,0,0,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,1,0,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0],[4,0,0,0,1,0,0,4,0,0,0,5,0,0,0,0,0,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,0,0,1,0,0,5,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1],[2,0,2,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,2,0],] -- [[3,0,3,0,0,0,1,0,3,0,0,3,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,3,0,0,0,0,0,3,0],[4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,3,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0],[0,0,7,0,1,0,1,0,1,0,3,0,0,0,0,4,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,1],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,3,0,0,0,1,0,0,3,0,0,1],[0,0,5,0,0,1,0,2,0,0,0,0,3,0,4,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,3,0,5,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,4,0,0,1,0,3,0,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],] -- [[4,0,2,0,0,4,0,2,0,0,3,0,0,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,3,0,0,4,0,1,0,0,5,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0],[3,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,4,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,3,0,0,0,2,0,0,0,0,0],[1,0,5,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[4,0,0,0,0,1,0,4,0,0,0,1,0,0,4,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,2,0,0],[0,0,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,2,0,0],[0,4,0,5,0,1,0,0,0,3,0,0,0,3,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,2,0,0,1,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0],] -- 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[[2,0,2,0,2,0,1,0,4,0,0,3,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,7,0,0,0,0,0,0,0,3,0,0,0,0,0,3],[5,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,4,0,0,0],[0,0,0,0,3,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0],[3,0,1,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,3],[0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,3,0,0,0,0,0,0,1,0,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0],[0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0,0,3],[0,1,0,3,0,3,0,3,0,4,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,4,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0],[4,0,0,0,0,2,0,2,0,0,0,2,0,2,0,4,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,1,0,0],] -- 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[[2,0,0,3,0,0,0,0,0,0,0,3,0,0,0,2,0,1,0,1],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[4,0,3,0,4,0,0,0,1,0,2,0,1,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,2,0,0,3,0,0,0,1,0,0,0,4,0,3,0,0],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,2,0,0,0,0,0,0,3,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,1,0,2,0,4,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,3,0,1,0],[3,0,0,7,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,4,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,2,0,0,0,0,2,0],[0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,3,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2],[3,0,2,0,0,0,0,0,1,0,3,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,3,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1],] -- [[1,0,2,0,2,0,0,1,0,2,0,0,4,0,3,0,4,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,3,0,3,0,0,4,0,1,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,2,0,4,0,1,0,0,0,0],[4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0],[1,0,0,4,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,3],[0,3,0,0,0,0,0,0,0,0,0,0,0,10,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0],[0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2],[4,0,2,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,3,0,0,0,0,0,0,4,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,5,0,0,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[1,0,1,0,0,0,2,0,0,0,4,0,0,0,3,0,1,0,1,0],[0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,3,0,0,0,3,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,5,0,0,0,3,0,0,0,1,0,0,0,3,0,0],[0,0,4,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,4,0,0,2],[0,0,0,0,5,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,3,0,0,2],[0,0,3,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,2,0,0,0,0,0,3,0,0,0,3,0,0],[1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0],[0,0,0,3,0,0,0,2,0,0,2,0,0,0,0,1,0,0,0,0],[3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,1,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,2,0,2,0,2,0,0,1,0,2,0,2,0,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,3,0,0,2,0,5,0,0,0,0,0,1,0],[4,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,3],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,0,0,0,0,0,4,0,0,5,0,0,0],[0,0,0,0,0,0,5,0,0,1,0,1,0,0,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,0,2,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2],[0,3,0,0,0,0,0,0,0,2,0,3,0,0,4,0,0,0,0,0],[0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,2,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,0,3,0,0,0,0,1,0,1,0,0],[4,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0],] -- [[4,0,0,0,0,1,0,2,0,0,2,0,3,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,0,3,0,3,0,5,0,0,4,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,4,0,0,0,1,0,0,0,3,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,2,0,0,0],[9,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,0,0,0,2,0,0,3,0,2,0,2,0,0],[0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,0,2,0,0,0,2,0,0,0,0,0,4,0,0,2,0,1,0],[0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2],[2,0,0,0,3,0,2,0,0,0,4,0,0,0,0,0,0,1,0,0],[0,0,6,0,0,0,0,0,1,0,0,0,0,4,0,1,0,0,3,0],[1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- 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[[0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,4,0,0,0,1,0,0,0,0,3,0],[0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,3,0,2,0,0,0,4,0,0,0,0,0,0,0,1,0],[2,0,2,0,0,0,0,0,2,0,0,0,0,4,0,0,2,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,2,0,0,0],[0,0,3,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,1],[1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,3,0,0,0,1,0,0,2,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,1,0,0],[0,0,3,0,0,0,0,7,0,0,0,0,0,2,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,2,0,0,2,0,0,0,3,0,0,0,3],[0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,2,0,1,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,4,0,0,1,0,1,0,3,0,0,0,5,0,0,1],] -- 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[[1,0,4,0,0,1,0,2,0,1,0,3,0,0,3,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,4,0,0,2,0,2,0,0,0,0,0,4,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,0,4,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,5,0,0,1,0,2,0,1],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,1,0,0,0,0,2,0,2,0,6,0,0,0,4,0,0,3,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,2,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[4,0,0,2,0,2,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,5,0,0,0,0,3,0],[0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,5,0,0,0,0,0,1,0,0,3,0,0,3,0],[1,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[1,0,3,0,0,3,0,1,0,3,0,0,0,2,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,3,0,0],[0,0,2,0,0,0,5,0,0,3,0,0,0,1,0,1,0,0,0,3],[0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,0,3,0,0,1,0,2,0,0,0,0,0,0,0,3,0],[5,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,4,0,4,0,1,0,3,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,5,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,3],[2,0,0,0,0,0,0,3,0,4,0,1,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0],[0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,6,0,0,1,0],[3,0,0,3,0,0,3,0,0,0,0,0,3,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2],[0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[2,0,0,1,0,4,0,2,0,0,1,0,1,0,2,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,5,0,0,0,0,0,3,0,0,3,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0],[1,0,2,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,1,0,0],[4,0,0,0,0,0,0,0,1,0,0,1,0,4,0,0,0,0,3,0],[0,0,3,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,4,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,2,0,1,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,7,0,0,0,0,0,2,0,2,0,5,0,0,0,0,2],[3,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0],[0,3,0,0,2,0,0,0,0,4,0,1,0,1,0,0,0,0,3,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],] -- [[2,0,2,0,2,0,1,0,1,0,3,0,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,3,0,0,1,0,1,0,1,0,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,4,0,0],[0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,4,0,0,0,0,2,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[3,0,5,0,0,3,0,0,0,1,0,3,0,0,6,0,0,0,5,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,3,0,2,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0],[3,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[1,0,3,0,0,3,0,0,2,0,0,2,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,2],[7,0,0,0,0,0,0,0,3,0,4,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,2],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,6,0,3,0,0,0,1,0,2,0,0,1,0,2,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,3,0,0,0],[1,0,0,0,0,0,0,2,0,0,3,0,0,0,3,0,0,0,0,0],[0,3,0,0,0,3,0,0,0,3,0,0,2,0,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,0],[0,0,0,2,0,0,0,2,0,0,0,0,0,3,0,0,0,0,2,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,0,3,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,2,0,0],[0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,0,0,1,0,2,0,0,0,3,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,3,0,0,4,0,0,0,0,3,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,5,0,2,0,0,0,0,0,0,0],[1,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,2,0,1,0,2,0,4,0,0,2,0,0,3,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,2,0,4,0],[1,0,5,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,1,0,0,0,1,0,1,0,0,0,0],[4,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,2,0,3,0,0,0,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,1,0,0,0,0],[2,0,3,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,4,0,3,0,0,0,4,0],[0,0,1,0,2,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,2],[0,0,1,0,0,2,0,3,0,0,2,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,0,5,0,1,0,5,0,1,0,3],[0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,1,0,4,0,0,0,3,0,0,0,3,0,3,0,0,0],[2,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,4,0,0,0,0,0,3,0,0,0,4,0,2],[0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,3,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,4,0,0,0,0,2,0,1,0,1,0,0,0,0,0,2,0,0],[0,0,0,1,0,4,0,0,0,0,0,0,1,0,4,0,1,0,0,0],[3,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,2,0,0,0,0,0,0,0,3,0,4,0,0,1,0,0],[4,0,0,0,0,5,0,0,2,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,1,0,3,0,0,0,2,0,2,0,3,0,0,3,0],] -- [[2,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,2,0,0,1,0,0,0],[1,0,2,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[4,0,0,0,0,0,0,2,0,2,0,0,6,0,0,3,0,0,0,0],[0,0,1,0,4,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1],[0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,2,0,0,0],[2,0,1,0,0,0,0,4,0,1,0,0,0,0,2,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,4,0,0,0,0,3,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,3,0,0,0],[0,0,0,4,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,4,0,11,0,0,0,0,2,0,0,3,0,1,0],[0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,3,0,0,1,0,0,0,0,3,0,0,0,1,0],] -- [[2,0,2,0,0,0,0,1,0,3,0,0,2,0,0,4,0,0,0,3],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0],[3,0,0,0,2,0,0,3,0,0,4,0,0,0,0,0,0,1,0,0],[0,0,2,0,0,0,3,0,0,0,0,0,0,0,1,0,2,0,1,0],[0,0,0,0,3,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,3,0,0,1,0,0,3,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0],[2,0,2,0,0,0,0,1,0,2,0,0,1,0,0,0,3,0,0,0],[0,0,0,0,2,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0],[3,0,0,0,0,0,4,0,0,0,0,0,2,0,0,2,0,0,0,0],[0,0,0,0,1,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0],[0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,4,0,0,0],[4,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,3,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0],[2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0],] -- [[3,0,3,0,0,3,0,0,0,4,0,0,0,1,0,4,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,5,0,1,0,1,0,0,0,2,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,0,4,0,1,0,2,0,0,0,0],[0,0,0,4,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0],[3,0,0,0,2,0,1,0,3,0,0,0,0,0,0,3,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,7,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,2,0,0,1,0,3,0,1,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,8,0,1,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,2,0,3,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,3,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1],] -- [[3,0,0,0,2,0,2,0,0,2,0,1,0,1,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,4,0,0,1,0,1,0,1,0,1,0,3,0,0,2,0,4],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,1,0,0,0,3,0,0,0,0,0,0],[3,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,1,0,0,0,0],[0,0,0,0,3,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1],[1,0,2,0,0,0,0,1,0,0,0,1,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,4],[1,0,2,0,1,0,0,0,5,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,5,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0],[2,0,2,0,0,2,0,0,3,0,2,0,0,1,0,0,0,0,1,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0],[0,3,0,0,0,0,2,0,0,0,2,0,3,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[1,0,1,0,2,0,4,0,2,0,0,3,0,1,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,3,0],[4,0,0,0,0,2,0,2,0,0,3,0,0,2,0,4,0,0,0,0],[0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0],[4,0,0,0,1,0,0,0,0,2,0,3,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[4,0,0,0,1,0,1,0,0,0,3,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,4,0,3,0,0,0,0,1,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[7,0,3,0,0,0,0,2,0,0,0,2,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,3,0,0,0,1,0,3,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,2,0,1,0,0,5,0,3,0,0,1,0,4,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,4,0,1,0,1,0,4,0,0,0,6,0,0,3,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,2,0,0,4,0,0,0,0,1,0,3,0,0],[0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,4,0,1,0,0,0,3,0],[2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,2,0,0,0,0,0],[3,0,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,1,0,6,0,0,0,1,0,1,0],[3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,3,0,0,1,0,0,1,0],[1,0,6,0,0,3,0,0,0,0,0,3,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,4,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,3,0,0,0,1,0,7,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,4],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,5,0,3,0,0,0,0,2,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,7,0,0,3,0,1,0,0,4,0,1,0,0,0],[3,0,3,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,5,0,0,0,3,0,3,0,0],[0,2,0,2,0,0,0,1,0,1,0,0,0,0,3,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0],[0,0,0,3,0,0,5,0,1,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,4,0,0,0],[1,0,1,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,2,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,3,0,2,0,0,3,0,0,2,0,0,2,0,0,0,0,4],] -- 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[[2,0,0,2,0,0,3,0,0,2,0,6,0,3,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,4,0,3,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,3,0,0,1,0,1,0,0,0,5,0,0,0,0,0],[0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,3,0],[0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,1,0,0,0,0,0,0,0,4,0,3,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0,0,0],[3,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,2,0,0,0,0,0,7,0,0,0,2,0,0,0],[1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,2,0,2,0,0,1,0,2,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,2,0,0,0],[0,0,0,0,2,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,1,0],[0,0,1,0,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[2,0,1,0,0,0,0,0,2,0,0,1,0,4,0,0,0,0,1,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,1,0,2,0,4,0,3,0,2,0,0,4,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,4,0,1,0,0,0,0,0,0,3,0,0,7,0,0,1,0,0],[4,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,7,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,1],[0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,2,0,0,0,0,5,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,1,0,0,3,0,0,3,0,4,0,0,0,0,2,0,0,0],[2,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,3,0,0,3,0,6,0,0,0,3,0,0,0,0],[0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[1,0,1,0,1,0,1,0,3,0,0,6,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1],[0,0,0,1,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,3,0,4,0,0,0,3,0],[2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,1,0,0,0,2,0,0,2,0,0],[0,1,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,3,0,0,0,2,0,0,0,1,0,4,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,1,0,0,4,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1],[0,0,1,0,0,0,2,0,6,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,2,0,3],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,1,0,0,0,0,1,0,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0],[1,0,2,0,0,0,4,0,0,3,0,1,0,0,2,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],[2,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,1],] -- [[1,0,2,0,2,0,0,2,0,0,1,0,5,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,4,0,0,1,0,0,0,3,0,0,0,2],[0,0,1,0,5,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,0,1,0,3,0,0,2,0,0,1,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0,0],[2,0,3,0,1,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,6,0,0,1,0,0,0,0,0],[4,0,0,0,3,0,0,1,0,3,0,0,0,0,0,5,0,0,4,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[7,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0],[3,0,0,3,0,0,3,0,1,0,1,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0],] -- [[1,0,0,0,7,0,0,0,0,3,0,0,5,0,1,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,1,0,0,0,0,1,0,0,0,0,3,0,0,1,0,0],[0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,1],[1,0,2,0,0,3,0,0,0,1,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,2],[1,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,10,0,0,0,0,0,0,2,0,0,0],[3,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,6,0,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,5,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0],[1,0,3,0,0,2,0,0,0,0,3,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,1,0,1,0,0,0,0,0,0,0,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0],] -- [[0,1,0,0,3,0,1,0,4,0,1,0,1,0,1,0,0,4,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,3,0,0,0,0,4,0,2,0,0,2,0,0,0,5],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,3,0,0,2,0,0,0,0,0,2,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,4,0,0,0,0,0,4],[0,0,0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,3],[1,0,0,0,3,0,1,0,0,3,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,1,0,0,2,0,0,2,0,3,0,2,0,0,0,0,2,0,0,2],[0,0,1,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,1,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,1,0,2],[0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0,7,0],[0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,2,0,1,0,0,4,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0],] -- [[1,0,0,0,3,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0],[0,0,4,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0],[0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,6],[0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,2,0,4,0,0,0,0,0,2],[0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,4,0,0,0],[2,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0],[0,0,0,3,0,0,0,0,0,6,0,0,0,2,0,0,3,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,1,0,0,0,0,0,3,0,0,3,0,1,0,0,0,3,0,0],[0,0,0,0,0,4,0,0,0,1,0,0,1,0,0,0,0,0,0,2],[0,0,0,4,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,1,0,0,2,0,1,0,0,0,0,0],[0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,8],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[3,0,1,0,0,0,0,2,0,2,0,0,4,0,0,0,0,1,0,1],] -- [[4,0,3,0,0,0,2,0,0,1,0,1,0,1,0,1,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,1,0,2,0,3,0,1,0,0,0,1],[0,0,7,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,6,0,0,0,0,0,0,2,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,1,0,4,0,0,2,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0],[4,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2],[0,0,0,1,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,3,0,0,0,0,0,0,0,0,2,0,0],[1,0,1,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,2],[0,2,0,2,0,0,0,0,0,1,0,0,2,0,4,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,0,0,3,0,2,0,0,3,0,1,0,0,0],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,3,0,0,3,0,0,0,0,0,0,7,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,6,0,0,2,0,0,0,2,0,0,0,0,3],[0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,4,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0,3,0,1,0],[0,0,0,0,0,3,0,2,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,3,0,0],[3,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,3,0,0,0,3,0,0,3,0,0,0,1],[0,0,3,0,0,0,0,0,0,0,0,1,0,0,1,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,4,0,1,0,0,3],[3,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,4,0,0,2,0,0,4,0,3,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,1,0,1,0,0,0,0,4,0,1,0,1,0,0,2],] -- [[2,0,0,4,0,0,2,0,0,2,0,0,1,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,4,0,0,0,0,3,0,2,0,0,2,0,1,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,9,0,7,0,0,2,0,3,0,0,3,0,0,0,2,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,2,0,0,0,0,0,0,0,3,0,0,0,0,1,0,4,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,1,0,1,0,3,0,0,1,0,1,0,0,0,3],[1,0,0,1,0,4,0,0,0,0,0,0,3,0,3,0,0,0,0,0],[0,1,0,0,0,0,0,5,0,0,0,0,0,0,0,0,5,0,0,0],[0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,3,0,0,0,4,0,0,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0],] -- [[5,0,2,0,2,0,0,4,0,0,0,1,0,4,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,2,0,0,1,0,1,0,2,0,0,0,2,0],[0,0,0,0,8,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,4,0,1,0,0,0,0,0,2,0,6,0,0,1,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,3,0],[7,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,3,0,0,1,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0],[0,0,0,2,0,0,3,0,0,2,0,0,0,2,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,3,0,0,1],[0,0,1,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,2,0,0,4,0,0,0,0,0,0,1,0,0,0,1,0],] -- [[2,0,0,1,0,1,0,1,0,3,0,0,4,0,1,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,1,0,4,0,0,1,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,3,0,0,2,0,3,0,1,0,0,0,0,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,2,0,9,0,3,0,0,0,2,0,0],[7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,4,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,5,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,4,0,0,0,2,0,5,0,0,0],[2,0,2,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,2],[1,0,2,0,4,0,0,2,0,0,0,4,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,2],[0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0],] -- [[1,0,2,0,0,3,0,3,0,1,0,1,0,2,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,2,0,0,2,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0],[2,0,3,0,4,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0],[9,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,2,0,3,0,0,0,3,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,3,0,0,3,0,0,0,0,1,0,0,0,3,0,0],[0,0,2,0,3,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,3,0,0,0,0,0,0,1,0,1,0,1],[0,3,0,0,0,1,0,0,0,0,1,0,0,1,0,0,3,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0],] -- [[1,0,3,0,0,2,0,0,1,0,1,0,3,0,4,0,0,2,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,6,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0],[3,0,1,0,0,0,0,0,1,0,0,0,3,0,0,3,0,0,0,0],[0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,2,0,3,0,0,0,0,1,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,4,0,1,0,0,0,2,0,0,1,0,1,0,4],[0,0,0,0,0,0,0,0,0,1,0,4,0,0,2,0,1,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,3,0,0,1,0,1,0,6,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,6,0,0,2,0],[4,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,2,0,2,0,0,0,0,0,3,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0],] -- [[6,0,5,0,0,0,2,0,2,0,0,2,0,0,3,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0],[0,0,0,2,0,0,5,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,5],[1,0,0,3,0,0,0,1,0,0,3,0,0,0,3,0,0,0,0,0],[0,2,0,0,0,0,1,0,4,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,1,0,1,0,1,0,0,4,0,0],[4,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,0,4,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0,0],[0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1],[1,0,0,0,0,0,3,0,0,2,0,2,0,2,0,3,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[6,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,3,0,0,0,0,3,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0],] -- [[1,0,1,0,2,0,2,0,0,2,0,0,1,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,2,0,1,0,2,0,1,0,1,0,2,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,3,0,0,0,2,0,2,0,1,0,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0],[4,0,0,4,0,0,0,1,0,1,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,5,0,0,0,0,1,0,3,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,2,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,2,0,0,2,0,0,0,3,0,7,0],[0,0,0,1,0,2,0,0,4,0,0,0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[6,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,1,0,0,2,0,3,0,0,2,0,0,2,0],[0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0],[1,0,1,0,2,0,0,0,0,3,0,0,0,1,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,2,0,0,3,0,0,0,2,0,0,3,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,3,0,0,1,0,1,0,1,0,3,0,1,0,4,0],[0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,3],[3,0,0,1,0,2,0,0,2,0,4,0,0,0,0,1,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,1,0,4,0,5,0,0,0],[0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,3],[4,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,10,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0],[9,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,1,0,0,0,0,0,3,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,6,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,3,0,0,3,0,1,0,3,0,0,3,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,1,0,0,0,0,0,3,0,1,0,4,0,0,6,0,0,2,0],[0,0,0,3,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,4,0,0,4,0,0,0,0,3],[1,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,4,0,0,0],[4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,2,0,2,0,3,0,0,1,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,6,0,0,10,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0],[0,0,1,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0],[0,3,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,0,2],[0,1,0,1,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],] -- [[3,0,0,0,2,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[4,0,3,0,0,0,1,0,2,0,2,0,0,1,0,1,0,0,2,0],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0],[0,0,4,0,0,0,0,1,0,4,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,1],[0,2,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0],[0,0,0,3,0,0,4,0,0,0,0,0,0,3,0,0,2,0,0,2],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,4,0,0],[3,0,1,0,0,3,0,0,0,0,2,0,3,0,4,0,0,0,0,1],[0,0,0,6,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0],[2,0,0,0,0,0,3,0,3,0,0,1,0,4,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1],[3,0,0,3,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,4,0,0,0,0,2,0,1,0,0,0,3,0],[2,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,1],[0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,3,0,2,0,0,4,0,0,1,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2],[3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,3,0,0,3,0,0,0,2,0,1,0,0,1,0],[1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,2,0,0,7,0,0,0,1,0,0,0,2],[0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,4,0,0,2,0,0,0,0,3,0,0,0,0,0,0,3],[3,0,0,4,0,3,0,0,0,6,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0],[0,0,0,2,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,1,0,1,0,0,2,0,1,0,1,0,4,0,0,5,0,1],] -- [[1,0,2,0,0,2,0,4,0,0,0,1,0,1,0,3,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,1,0,3,0,2,0,2,0,3,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,8,0,0,0,3,0,0,0,0],[0,1,0,0,3,0,0,2,0,0,2,0,0,0,0,0,0,0,3,0],[0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[6,0,0,0,0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,0,0,0,0,3,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,2,0,4,0,0,0,3,0],[1,0,1,0,1,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,1,0,0],[0,0,0,2,0,0,0,0,3,0,0,0,0,0,2,0,0,0,3,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,2,0,0,5,0,0,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,0],[2,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0],] -- 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[[3,0,0,0,1,0,1,0,3,0,0,0,2,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,4,0,0,1,0,3,0,0,0,2,0,1],[0,0,6,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0],[0,0,0,0,2,0,0,0,0,0,4,0,0,0,1,0,3,0,0,1],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0],[3,0,1,0,0,2,0,0,1,0,3,0,0,4,0,0,0,0,0,0],[0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[5,0,1,0,3,0,0,3,0,0,3,0,0,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,2,0,2,0,1,0,0,0,4,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[3,0,1,0,0,0,0,4,0,0,0,1,0,0,0,0,2,0,0,0],[0,0,0,2,0,0,3,0,0,0,0,0,1,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0],[1,0,3,0,3,0,0,0,0,4,0,0,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[2,0,1,0,2,0,0,5,0,0,3,0,3,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,3],[0,0,0,0,1,0,0,4,0,2,0,0,1,0,0,0,0,0,0,0],[2,0,0,1,0,2,0,0,0,0,0,1,0,3,0,0,0,1,0,0],[0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[2,0,3,0,0,3,0,0,1,0,0,0,2,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1],[0,0,5,0,0,0,0,0,0,1,0,0,0,0,0,0,6,0,0,0],[4,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,4,0,1,0,0,5,0,0,3,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0],[2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2],[0,0,0,3,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1],] -- [[6,0,0,0,3,0,4,0,0,0,0,2,0,0,4,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0],[3,0,1,0,0,1,0,0,0,0,7,0,0,1,0,0,4,0,0,0],[0,0,0,3,0,0,1,0,1,0,0,0,0,0,1,0,0,0,3,0],[0,0,0,0,0,3,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[7,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,2,0,5,0,0,3,0,0,0,0,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[3,0,1,0,0,3,0,0,0,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,4,0,1,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,0,6,0,0,6,0,0,0,0],[0,0,0,4,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,2,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[0,3,0,5,0,4,0,0,0,1,0,2,0,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,2,0,0,1,0,1,0,2,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,3,0,0,0,0,0,0,2,0,1,0,0,0,0,0],[0,0,0,0,2,0,0,4,0,0,1,0,0,0,0,2,0,1,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,3,0],[0,1,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0],[1,0,0,0,0,2,0,1,0,7,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,1],[2,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0],[3,0,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,1,0],[0,0,1,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[3,0,3,0,0,1,0,2,0,3,0,0,1,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,6,0,0,1,0,0,3,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,1,0,0,0,3],[2,0,0,0,0,0,0,0,0,0,0,6,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,3,0,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,3,0,3,0,0,3,0,0,0,0,5,0,1],[9,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,3,0,3,0,0,1,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,4,0,0],[0,0,0,0,0,0,3,0,0,3,0,0,0,1,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,2,0,1,0,3,0,0,0],[4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,1,0,0,0,2,0,0,2,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3],[2,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,2],[0,2,0,0,2,0,3,0,0,4,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,3,0,1],[2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,1],[0,0,0,4,0,2,0,0,2,0,0,0,6,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,1,0,1],[0,0,0,0,0,2,0,0,4,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,4,0,0,0,0,1,0,0,0,3,0,0,0,1,0,0,0,3,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0],[0,1,0,3,0,0,0,0,0,0,3,0,3,0,1,0,0,0,0,2],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,2,0,2,0,0,0,0,2,0,2,0,2,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,0,3,0,1,0,1,0,1,0,1,0,0,0,0,4],] -- [[1,0,0,0,2,0,0,2,0,0,3,0,0,0,0,4,0,2,0,2],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,1,0,0,0,3,0,0,0,3,0,0,0,3,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,4],[0,0,0,0,0,0,0,3,0,0,4,0,0,4,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,8,0,0,4,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,2,0,2],[0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,1,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,1,0,3],[0,1,0,0,9,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2],[0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,4,0,0,1,0,1,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,3,0,3,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,3,0,0,0,2,0,4,0,0,0,1,0,1,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0],[4,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,1,0,0,0,10,0,0,0,0,0],[0,0,2,0,0,0,0,3,0,6,0,0,2,0,0,0,0,1,0,1],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[0,0,1,0,2,0,0,0,2,0,0,0,0,0,8,0,0,0,0,0],[7,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[4,0,0,0,0,3,0,0,3,0,0,0,2,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0],[0,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,3,0,0,0,0,1,0,1,0,0,0,0,0],] -- [[1,0,3,0,0,2,0,3,0,0,0,0,0,2,0,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,2,0,0],[0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0],[1,0,0,0,0,3,0,1,0,1,0,0,0,2,0,0,0,0,2,0],[0,0,2,0,0,0,0,0,2,0,1,0,1,0,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,2],[0,0,0,2,0,0,1,0,0,0,3,0,0,0,0,0,0,1,0,0],[2,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,4,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2],[3,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,8,0,4,0,0],[3,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,3,0,0,3,0,0,0,0,0,1,0,3,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,1,0,0,0,0,0,2,0,0,3,0,3,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,1,0,3,0,0,0,2,0,1,0,2,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,3,0,0,0,0,1,0,2,0,2,0,0,2,0,0,4],[0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,3,0,0,0,2,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[3,0,0,2,0,0,2,0,0,3,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0],[0,0,3,0,0,2,0,4,0,0,0,0,0,0,2,0,0,2,0,0],[1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1],[0,1,0,0,2,0,1,0,3,0,0,0,0,0,0,2,0,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[4,0,0,0,0,1,0,3,0,0,1,0,2,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,4,0,0,4,0,0,0,1,0,0,7,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[4,0,0,0,0,0,3,0,0,0,0,2,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0],] -- [[2,0,3,0,0,0,3,0,0,3,0,1,0,3,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,6,0,0,0,0,0,0,0,3,0,0,0,7,0,1,0,0],[0,0,6,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,4,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,0,3,0,0,2,0,3,0,0,0,1,0,0],[0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0],[2,0,0,0,0,0,0,0,0,1,0,0,3,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,0],[2,0,0,1,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,3],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0],[4,0,0,1,0,0,0,0,0,3,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,2,0,2],[2,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,1,0,4,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0],[1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,3,0,0,0,4,0,0,2,0,1,0,4,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,1,0,3,0,0,0,0,0,0,5,0,0,0,1,0,0,0],[0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,2,0,0,2,0,8,0,0,0,1,0,0,0,0],[3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,3],[3,0,3,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,1,0,0],[0,0,0,0,3,0,1,0,0,0,0,0,0,3,0,0,0,0,1,0],[4,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,1,0],[0,0,0,1,0,2,0,3,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,1,0,6,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,2,0,6,0,0,0,0,0,4,0,0,0],[2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[2,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- [[2,0,0,2,0,0,1,0,1,0,1,0,1,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,1,0,0,0,0,4,0,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,2,0],[0,0,0,0,0,7,0,0,0,0,0,0,0,3,0,0,3,0,0,0],[8,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,4,0,4,0,0,0,3,0,0,1,0,3,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,5,0,0,2,0,0],[0,0,1,0,0,0,0,0,6,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,2,0,0,3,0,0,0,0,0,6,0,0,3,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,3,0,1,0,0],[0,0,0,0,0,0,4,0,1,0,3,0,1,0,0,0,0,0,1,0],[1,0,1,0,2,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0],] -- [[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,3],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,2,0,5,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,1,0,3,0],[2,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,3,0,0,3,0,0,0,0,0,2,0,0,0,0,3,0,3],[2,0,0,0,0,2,0,0,4,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,1,0,0],[0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,11,0,0,2,0,3],[3,0,0,0,0,2,0,0,0,0,0,8,0,1,0,0,0,0,0,0],[0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,3],[0,1,0,0,0,2,0,0,2,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,4,0,0,4,0,0,0,3,0,1,0,2,0,2,0,2],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,1,0,2],[0,1,0,5,0,5,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,3,0,0,0],[0,0,4,0,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,4,0,0,2,0,5],[0,0,0,1,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,3,0,0],[2,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,3,0,1,0,0,0,0,0,0,0,3],[0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,2,0,2,0,0],[1,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,1,0],[0,0,2,0,0,0,0,0,1,0,0,0,0,3,0,0,0,1,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,3,0,1,0,0],[3,0,0,0,4,0,0,4,0,0,5,0,0,0,0,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,3,0,0,2,0,0,2,0,2,0,0,0,4,0,2,0,1],] -- [[1,0,1,0,3,0,0,5,0,1,0,1,0,1,0,2,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,4,0,0,0,0,0,2,0,2,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0],[1,0,2,0,0,0,0,1,0,5,0,1,0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0],[5,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,5,0,0],[0,0,0,0,3,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0],[1,0,1,0,1,0,3,0,2,0,0,0,0,0,2,0,1,0,3,0],[0,1,0,1,0,0,0,0,0,0,2,0,5,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[1,0,1,0,0,0,0,3,0,7,0,0,0,0,0,0,1,0,0,0],[0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,6,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- [[1,0,2,0,2,0,2,0,0,1,0,4,0,0,2,0,0,4,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,4,0,0,2,0,0,0,0,5,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[1,0,2,0,0,0,0,1,0,1,0,2,0,0,0,0,5,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0],[1,0,3,0,8,0,0,0,0,7,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[2,0,1,0,0,0,0,0,0,2,0,2,0,3,0,0,0,0,0,1],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,2,0,0,2,0,2,0,4,0,0,1,0,3,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,3,0,2,0,1],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0],] -- [[2,0,4,0,0,1,0,3,0,0,0,3,0,0,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,1,0,1,0,1,0,1,0,4,0,0,0,1,0],[2,0,2,0,0,0,0,2,0,2,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,3,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,2,0,2,0,1,0,1,0,0,0,6,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0],[3,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,7,0,0,1,0,1,0,0,0,0,1,0,3,0],[0,0,2,0,0,6,0,0,0,0,2,0,3,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,0,0,0,0,0,0,1,0,2,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[3,0,2,0,5,0,0,1,0,2,0,0,0,2,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,1],] -- [[1,0,1,0,2,0,2,0,0,2,0,1,0,2,0,4,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,3,0,2,0,0,2,0,0,0,0,0,0,0,0,0],[0,2,0,3,0,0,0,0,0,4,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,1,0,3,0,0,0,1,0],[2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,8,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,2],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,2,0,1,0,1,0,5,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,2],[1,0,2,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,3,0,0,0,9,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,3,0,1],[0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,2,0],] -- [[0,0,0,2,0,0,0,5,0,0,2,0,0,0,0,8,0,2,0,3],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,4,0,1,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,3,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5],[0,0,0,1,0,0,0,0,1,0,0,0,0,3,0,2,0,0,0,0],[0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,1,0,0,2,0,0,3,0,3],[0,0,0,0,3,0,0,2,0,1,0,0,4,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,5],[0,1,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,3,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,8,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,6],[2,0,0,0,0,0,0,6,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,2,0,1],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0],[3,0,0,0,3,0,2,0,0,3,0,0,0,1,0,3,0,0,0,0],[0,0,3,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,0,0,0,0,2,0,2,0,3,0],[0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,2,0,0],[0,0,2,0,3,0,0,2,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,2,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,4],[0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,5,0,5,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2],[0,0,0,2,0,2,0,3,0,0,0,0,2,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0,1,0,0,4,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,1,0,0,0,0,0,0,0,3,0,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,5,0,1,0,2,0,0,0,4,0,1,0,0,0,5,0,1],] -- [[2,0,0,1,0,4,0,0,0,1,0,1,0,1,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,0,0,0,1,0,3,0,0,1,0,3,0,0,0,0],[0,0,0,0,2,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,3,0,0,1,0,3,0,0],[4,0,0,0,0,0,3,0,0,1,0,0,0,0,6,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,3,0,0],[1,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,2],[1,0,1,0,0,4,0,0,0,0,3,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0],[6,0,3,0,0,0,0,0,0,0,8,0,4,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0],[0,0,4,0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],] -- [[3,0,1,0,1,0,3,0,0,0,6,0,1,0,4,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,4,0,3,0],[0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,4,0],[0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0],[3,0,0,0,3,0,2,0,2,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,2,0,2,0,0,0,0,1,0,1],[0,4,0,0,2,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0],[2,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,4,0,1,0],[0,0,3,0,0,0,0,0,0,0,3,0,0,0,5,0,0,0,0,3],[0,1,0,0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,3,0,0,0,0,3,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0],] -- [[1,0,2,0,0,1,0,2,0,0,2,0,1,0,4,0,6,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1],[0,3,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,2,0,3,0,0,3,0,0,1,0,0,0,2],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[3,0,0,0,0,0,3,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,3],[0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,1,0,0,0,0],[0,0,1,0,0,4,0,0,0,0,0,0,0,0,4,0,5,0,0,0],[0,2,0,2,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,3,0,0,0],[3,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,3,0,1,0,3,0,0,4,0,0,0,0],[2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0],] -- [[1,0,2,0,3,0,3,0,0,2,0,0,1,0,1,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,2,0,5,0,0,2,0,0,1,0,2,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,2,0,0,0,1,0,0,0,4,0,0,0,2,0,0],[0,0,3,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,1],[1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,4,0],[0,0,0,2,0,0,0,0,0,0,2,0,6,0,0,2,0,0,0,0],[7,0,4,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,5,0,0,0,0,1,0,5,0,0,0,3,0,0],[0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0],[2,0,2,0,0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0],[0,3,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1],[0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1],] -- [[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,3],[0,0,6,0,0,2,0,0,0,0,0,0,0,4,0,1,0,0,0,0],[0,0,0,0,2,0,0,0,6,0,1,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,3],[0,0,0,0,3,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,6,0,0,0,1,0,2,0,0,0,0,0,3,0,1,0,0,0,0],[0,0,0,3,0,0,1,0,1,0,0,3,0,0,0,0,0,0,3,0],[0,0,1,0,0,2,0,0,0,0,1,0,1,0,1,0,2,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,3,0,0],[1,0,0,4,0,4,0,0,0,3,0,0,1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,0,0,2,0],[1,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,4,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,4,0,0,2,0,1,0,4,0,0,0,3,0,1],] -- [[1,0,1,0,2,0,0,1,0,3,0,0,0,4,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,3,0,0,0,0,0,3,0,4,0,0,4,0,0,0,0],[0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[8,0,3,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0],[0,0,0,0,2,0,4,0,7,0,0,0,0,0,0,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,7,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,5,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,8,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[4,0,0,0,1,0,0,0,3,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,5,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,1,0,0,0],[0,2,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0],[0,0,1,0,3,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0],[1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,2,0,0,0],[0,0,3,0,2,0,2,0,0,0,0,0,2,0,1,0,0,0,1,0],[0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,3,0,0,0,0],[3,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,1,0,0],[0,0,2,0,0,0,0,0,0,2,0,2,0,0,0,2,0,0,0,0],[2,0,0,0,4,0,0,2,0,0,0,0,0,2,0,0,4,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,1,0,0,0,5,0,0,0,0,1,0,0,0,0,0,1],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,5,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,1,0,0,0],[1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,1,0,0,0,0],[0,0,7,0,0,1,0,0,0,0,2,0,0,0,0,0,0,3,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,3,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0],[1,0,1,0,0,0,3,0,0,0,3,0,0,1,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,5,0,0,0,1,0,4,0,0,0,0,1,0,0,0,3,0,0],] -- [[2,0,0,1,0,2,0,0,1,0,3,0,0,2,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,4,0,0,0,0,0,2,0,2,0,0,1,0,0],[0,1,0,2,0,5,0,0,0,0,0,0,0,0,0,0,3,0,4,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[3,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1],[0,0,0,2,0,0,0,3,0,0,0,0,0,4,0,1,0,0,0,0],[0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,1],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,2,0,0,0,0],[0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,2,0,0,3],[0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,1,0,4,0,0,0,0,0,2,0,2,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0],[3,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,1,0,3,0,0,0,0,3,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,3,0,0,2,0,0],] -- [[6,0,0,0,1,0,2,0,0,2,0,2,0,3,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,2,0,0,0,0,0,4,0,0,0,0,1,0,2],[2,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,3,0,0,0],[0,0,2,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0],[7,0,0,0,0,0,0,0,0,3,0,0,2,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,1,0,2,0,0,1,0,0,0,2,0,2,0,1,0,0,0,0],[0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,3,0,0],[0,0,0,0,0,0,0,7,0,0,0,0,2,0,0,3,0,0,0,0],[5,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,1,0,3,0],[0,2,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,2,0,2,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[4,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],] -- [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,3,0,0,0,0,2,0,0,7,0,0,2,0,0],[0,2,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,3,0,0,0,0,0,0,3,0,0,2,0,0,0,0,3,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0],[1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0],[0,1,0,0,6,0,0,0,0,0,0,0,0,4,0,0,0,1,0,2],[0,0,1,0,0,0,0,3,0,0,0,6,0,0,0,0,0,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0,2],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,3,0,0,2,0,0,0,0,0,1,0,2,0,0,0,1],[1,0,2,0,0,0,0,0,0,2,0,0,10,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1],[0,0,3,0,0,3,0,0,0,5,0,1,0,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0],[1,0,0,2,0,0,0,0,4,0,0,1,0,0,0,3,0,0,0,2],] -- [[2,0,0,3,0,0,3,0,0,1,0,2,0,0,3,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,2,0,0,2,0,0,5,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,4,0,0],[0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,3],[7,0,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,6,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,3,0],[2,0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,2,0,0,0],[0,0,0,0,0,0,1,0,5,0,0,0,0,0,0,0,0,0,1,0],[0,4,0,9,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,1,0,2,0,0,1,0,1,0,2,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,2,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,8,0,0,0,0,3,0,0,0,0,2,0,1,0,4,0],[0,0,1,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0],[1,0,0,2,0,2,0,0,0,1,0,0,0,0,0,1,0,2,0,0],[0,1,0,0,0,0,0,0,0,0,2,0,3,0,2,0,0,0,0,0],[0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,3,0],[1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,4,0,0,2,0,0,4,0,0,0,1,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,2,0,4,0,0,0,1,0,4,0,0,3,0],[0,0,1,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0],[0,0,0,4,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,2,0,0],[4,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[1,0,3,0,0,1,0,1,0,2,0,1,0,2,0,3,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,5,0,0,1,0,0,2,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[5,0,2,0,0,0,0,0,0,0,0,6,0,0,3,0,1,0,3,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0],[2,0,7,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,4,0,0,2,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,2,0,0,2,0,0,0,0,3,0,0,0,0,0,2,0,0],[0,0,0,0,0,5,0,0,1,0,1,0,0,2,0,0,0,0,0,4],[2,0,1,0,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0],[0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,2,0,2,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0],[1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,2],[3,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,4,0,2,0,0,0,0,2,0,1,0,0,1,0,3,0,0,2],[0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,6,0,0,0,0],[0,0,0,1,0,0,3,0,1,0,0,0,6,0,0,0,1,0,0,5],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0],[0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0,0],[0,1,0,0,0,0,3,0,3,0,0,0,0,2,0,0,0,2,0,2],[0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,4,0,0,0,0,0,0,0,0,5],[0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0],[0,0,0,0,2,0,0,0,0,5,0,0,0,4,0,0,0,1,0,1],[0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,3,0,2,0,1,0,0,0,0,0,0,8],] -- [[1,0,1,0,2,0,0,3,0,0,0,1,0,2,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[7,0,2,0,0,1,0,0,0,1,0,2,0,0,2,0,2,0,0,0],[0,0,0,0,2,0,4,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,1,0,6,0,0,0,0,0,3,0,0,0,0,0,3,0],[0,0,0,0,0,1,0,0,0,1,0,1,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0],[2,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,5,0,0,0,0,0,0,0,1,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,1,0,0,0,1,0,0,0,0,0,0,0,4,0,0,2,0,0],[0,0,0,0,0,0,0,4,0,2,0,2,0,2,0,0,0,0,0,2],[0,2,0,2,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0],[0,0,5,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0],[3,0,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,1,0,1],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,2,0],] -- [[1,0,3,0,0,0,1,0,2,0,3,0,3,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,1,0,2,0,0,0,0,0,1,0,2,0,0,1,0,0],[0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[0,3,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,4,0],[0,0,0,1,0,0,0,2,0,0,0,0,0,3,0,2,0,0,0,0],[0,0,0,0,2,0,0,0,0,7,0,0,0,0,0,0,0,3,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,0,4,0,0,0,0,0,1,0,2,0,1,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,9,0,0,0,0,0,0,0,2,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,1,0],[2,0,2,0,4,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0],[1,0,3,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,3,0,0,0,2,0,5,0,0,3,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,8,0,0,1,0,3,0,0,0,1,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,4,0,0,1,0,2,0,2,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,2,0,3,0],[0,0,8,0,0,3,0,0,0,0,1,0,3,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,2,0,0,0],[0,3,0,0,3,0,0,0,4,0,0,0,0,1,0,0,0,0,2,0],[0,0,0,3,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,4,0,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,3,0,0,3,0],[4,0,0,0,0,4,0,0,0,0,0,1,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],] -- [[1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,6,0,0,0,0,0,4],[0,1,0,0,5,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,1,0,0,0],[2,0,0,4,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,3],[0,0,0,0,1,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,3,0,2,0,0,0,4,0,2],[0,0,0,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,1],[3,0,0,0,0,1,0,0,1,0,0,0,0,5,0,0,0,2,0,0],[0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0],[0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,7,0,0,3,0,0,0,0,0,0,6,0,1,0,0,0,0],[2,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,3],[0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[1,0,0,0,1,0,0,0,4,0,0,0,0,1,0,0,0,4,0,1],] -- [[2,0,1,0,0,2,0,2,0,1,0,1,0,3,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,3,0,0,1,0,0,0,0,0,0,0,1,0,5],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0],[0,0,4,0,2,0,0,0,0,0,3,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,3,0,0],[0,3,0,0,3,0,0,4,0,0,2,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0],[0,2,0,0,0,0,0,2,0,0,3,0,0,0,0,2,0,0,3,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,1,0,3],[0,0,0,5,0,0,0,2,0,0,0,0,0,4,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,3,0,0],[0,3,0,0,3,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],] -- [[2,0,0,2,0,0,1,0,1,0,3,0,0,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,2,0,3,0,4,0,0,3,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0],[2,0,0,0,0,1,0,0,0,0,4,0,0,0,0,4,0,0,3,0],[0,0,5,0,1,0,2,0,0,3,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[3,0,0,0,0,1,0,2,0,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,2,0,0,1],[0,0,1,0,1,0,3,0,4,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,1],[3,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0],[0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,4,0,4],[1,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0],[5,0,0,0,0,0,0,2,0,4,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[3,0,0,0,2,0,0,3,0,0,3,0,0,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,2,0,0,2,0,3,0,0,1,0,4,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,4,0,0],[0,0,3,0,0,3,0,0,1,0,0,4,0,1,0,1,0,0,0,0],[3,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,11,0,0,1,0,0,0,0,0,0],[4,0,0,2,0,0,0,0,2,0,0,0,0,0,3,0,2,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,7,0],[0,0,0,0,6,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0],[7,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,0,3,0,0],[1,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,4],[0,3,0,0,2,0,0,0,3,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0],] -- [[1,0,2,0,0,3,0,0,1,0,3,0,0,3,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,4,0,0,0,2,0,4,0,1,0,1,0,1,0,5,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,0,0,2,0,1,0,1,0,0,0,3,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,2],[0,3,0,0,0,0,0,3,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,3,0,2,0,0,0,3,0,0,1,0],[5,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,3,0,0,0],[0,0,2,0,3,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,4,0,0,0,0,4,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[4,0,0,0,3,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0],[0,0,0,5,0,0,0,7,0,0,1,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1],] -- [[0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,2,0,0,2,0,0,0,0,3],[0,3,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,4,0,0,0,0,0,4,0,4,0,0,0,0,4,0,2],[2,0,0,0,0,0,0,0,0,9,0,1,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0],[0,0,0,0,0,3,0,0,4,0,1,0,0,3,0,0,0,0,0,4],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3],[0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,4,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[3,0,1,0,0,0,0,6,0,0,0,4,0,1,0,0,0,0,8,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,2,0,0,2,0,0,0,4,0,1,0,2,0,0,3,0,2],] -- [[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2],[0,1,0,0,0,0,0,0,0,2,0,1,0,0,3,0,0,0,0,0],[0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2],[2,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,3,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,3],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0],[0,4,0,3,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,3,0,1,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,3,0,0,0,3,0,2,0,0],[0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,6],[0,1,0,0,0,0,0,4,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,2,0,0,2,0,1,0,3,0,1,0,1,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,2,0,0,0,0,4,0,0,2,0,0,0,3,0,2],] -- [[3,0,2,0,0,1,0,3,0,5,0,2,0,0,1,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,5,0,0,1,0,0,0,0,0,0,3,0,1,0,4,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,1],[4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,3,0,3,0,0],[2,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,1,0,2],[0,1,0,2,0,4,0,0,0,0,1,0,1,0,7,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0],[2,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,1,0,0,2,0,3,0,0,0,0,0,0,0],[0,0,0,0,2,0,1,0,3,0,0,0,0,0,8,0,0,0,0,0],[2,0,4,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,0,0,0,0,4,0,0,0,2,0,0,0,3,0,0],[0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,3,0,0,0,6,0,0,2,0,0,2,0,1,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,1,0,0,0,0,4,0,0,1,0,3,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,3,0,0,0,0,0],[0,0,0,1,0,2,0,2,0,3,0,0,0,0,0,0,0,3,0,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,3,0,0,3,0,0,0],[4,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,4,0,0,0,0,0,2,0],[0,0,0,1,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,2],[3,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0],[0,0,0,3,0,0,4,0,0,0,0,0,0,0,2,0,0,0,1,0],[1,0,1,0,0,3,0,0,1,0,0,3,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0],[4,0,6,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,2,0],] -- [[3,0,3,0,0,1,0,1,0,2,0,0,2,0,2,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,4,0,0,0,1,0,3,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[1,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0],[0,2,0,3,0,4,0,0,0,0,0,2,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0],[3,0,0,0,1,0,1,0,3,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0],[4,0,2,0,3,0,0,0,0,3,0,0,11,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,3,0,2],[4,0,0,0,0,6,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],] -- [[2,0,0,3,0,0,1,0,1,0,2,0,1,0,3,0,2,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,1,0,2,0,0,0,3,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0],[2,0,2,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,4,0,0,2,0,0,0,0,2,0,3,0,4,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1],[0,0,3,0,0,1,0,0,3,0,0,0,3,0,0,3,0,2,0,0],[2,0,0,0,1,0,3,0,0,0,1,0,0,0,0,0,0,0,0,1],[0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,5,0,0,4,0,0,0,3,0,0,0],[6,0,0,2,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0],[0,0,0,0,2,0,0,0,1,0,0,1,0,6,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,1,0,3,0,0,3,0,0,1,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- 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[[0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,4,0,3],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0],[0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,4],[0,0,2,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,4,0,0,2,0,1,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,2],[0,0,0,5,0,3,0,0,0,0,5,0,0,3,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,1,0,0,1,0,3,0,0,2,0,0,0,0,0,0,5,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,2,0,0,0,3,0,3,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3],[0,3,0,2,0,1,0,2,0,1,0,1,0,2,0,0,0,2,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,4,0,0,0,4,0,0,0,4,0,2,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,1,0,1,0,0,3,0,0,2,0,1,0,2,0,2],] -- [[1,0,3,0,0,1,0,4,0,0,3,0,0,0,3,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,2,0,3,0,0,2,0,0,5,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,3],[4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,1,0,0,0,2,0,4,0,0,0,0,2,0,0,0],[0,0,5,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,2,0,0,3,0,0,0,1,0,2,0,3,0,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0],[0,0,2,0,2,0,4,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,7,0,0,3,0,0,2,0,0,2,0,0],[0,4,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,2,0,4,0,0,1,0,0,3,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,2],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,4,0,0,0,4,0,3,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,1,0,3,0,0,0,0,2],[2,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0],[0,0,0,0,0,5,0,0,1,0,1,0,2,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0],[3,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0],[0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,2,0],[2,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,1,0,0,0],[0,0,3,0,3,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0],[1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,4,0,0,1,0,0],[5,0,0,0,0,3,0,4,0,1,0,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],] -- [[1,0,2,0,5,0,2,0,0,2,0,0,3,0,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,3,0],[0,0,1,0,0,0,0,0,0,0,0,2,0,6,0,0,0,0,0,0],[0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[11,0,2,0,0,0,3,0,0,0,4,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,3,0,0],[0,0,0,0,0,2,0,0,3,0,0,1,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,1],[0,1,0,0,0,4,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[1,0,3,0,0,0,0,0,1,0,0,0,3,0,0,0,0,3,0,0],[0,2,0,0,0,3,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,3,0,0,0,0,0,2,0,3,0,4,0],[0,0,6,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0],] -- [[1,0,1,0,1,0,2,0,1,0,4,0,1,0,3,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,2,0,0,7,0,0,0,0,0,1,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,2,0,0],[0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1],[5,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,4,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,3,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0],[3,0,3,0,0,3,0,0,0,0,5,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[4,0,0,0,0,0,3,0,0,0,6,0,0,5,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,5,0,0,1],[2,0,0,5,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,2,0,3,0,0,1,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- 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[[1,0,4,0,1,0,1,0,1,0,3,0,0,0,3,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,6,0,0,0,4,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0],[0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0],[2,0,2,0,1,0,0,0,0,0,4,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,1,0,1],[0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0],[5,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,1,0,2,0,0,4,0,0,4],[0,0,0,0,0,0,6,0,0,0,2,0,0,0,0,1,0,0,0,0],[1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0],[1,0,0,0,0,0,0,0,4,0,0,6,0,0,0,0,0,0,0,0],[0,2,0,5,0,0,0,3,0,0,0,0,0,4,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0],] -- [[4,0,0,2,0,0,3,0,0,0,1,0,2,0,1,0,1,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,1,0,5,0,0,1,0,1,0,2,0,3,0,0],[4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,2,0,2,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0],[6,0,1,0,2,0,0,0,2,0,3,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,4,0,0,0],[0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,1,0,2],[1,0,2,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,2,0,1,0,0,0,4,0,0],[2,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,3,0,0,1,0,0,0,4,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[1,0,3,0,6,0,0,0,0,3,0,0,0,0,1,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1],] -- [[4,0,0,1,0,3,0,8,0,0,2,0,2,0,0,3,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,1,0],[2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1],[0,2,0,0,0,0,0,0,2,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,4,0],[0,4,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,4,0,0,0,4,0,0,0,4,0,0,0,0],[2,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[2,0,2,0,2,0,3,0,0,2,0,0,1,0,3,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,1,0,1,0],[4,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0],[0,0,0,0,2,0,0,1,0,0,3,0,2,0,0,0,0,0,0,3],[0,0,0,0,0,0,2,0,2,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0],] -- [[6,0,2,0,0,1,0,3,0,0,0,1,0,3,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,7,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,7,0,3,0,1,0],[3,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,5,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0],[2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,4,0,0,0,5,0,0,4,0,0,0,0,0,0,0,3,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,2,0,3],[2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,2,0,0,0,0,0,7,0,0,0,7,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0],[3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,6,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,3,0,0,3],[0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,1,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,0,0,0,3,0,0,1,0,1],[0,0,0,0,0,0,0,2,0,3,0,0,2,0,0,0,0,0,0,0],[0,3,0,0,0,0,1,0,1,0,0,0,0,0,0,0,4,0,0,1],[0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,5,0,0,0,0,0,0,0,0,2,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0],[0,0,0,0,4,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0],[3,0,0,0,0,0,4,0,1,0,0,0,0,1,0,0,0,3,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,1,0,1,0,0,0,0,0],[4,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,2,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,5,0,0,1,0,2,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,5,0,0,0,1,0,3,0,0,0,1,0,1,0,3,0,1,0],] -- [[3,0,0,0,1,0,1,0,2,0,0,2,0,0,2,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,2,0,3,0,3,0,0,1,0,3,0,1,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,4,0,0,0,3,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,1,0,3,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,1,0,2,0],[2,0,2,0,0,0,0,0,0,0,0,0,6,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,4,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,3,0],[3,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,4,0,0,4,0,0,3,0,0,0,0,1],[0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,2,0,0,4],[2,0,0,0,5,0,0,0,0,0,0,0,2,0,0,4,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0],] -- [[2,0,4,0,0,1,0,4,0,0,0,0,2,0,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,0,3,0,0,1,0,2,0,2,0,0],[2,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,3,0,0,0,0,0,1,0,1,0,3,0,0,1],[0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,6,0,0,2,0,0,0,3,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,1,0,3,0,0,7,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[7,0,2,0,0,7,0,0,2,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,3,0,0,0,0,0,0],[2,0,2,0,3,0,0,2,0,1,0,0,0,0,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,2,0,0,0,0,4,0,0,3,0,2,0,3,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- 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[[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,4,0,0,0,0,0,2,0,3],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,2,0,0,4],[0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,5,0,0,1,0,3,0,0,0,0,0,0,2,0,2,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[4,0,0,0,0,0,0,2,0,0,3,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,4,0,4,0,0],[0,0,0,0,6,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,2,0,0,0,0,0,0,0,3,0,2,0,2,0,0,3,0,0],[0,4,0,0,2,0,1,0,3,0,0,1,0,4,0,0,0,0,0,0],[0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,1,0,0,0,0,0,4,0,3,0,2,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,2,0,0,0,0,4,0,1,0,2,0,3],] -- [[2,0,2,0,1,0,4,0,0,0,0,1,0,3,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,2,0,3,0,1,0,0,0,4,0,1,0,3],[2,0,3,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,6,0,0,3,0,0,0,4,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[1,0,0,2,0,2,0,0,0,0,0,4,0,0,3,0,0,3,0,0],[0,3,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,3,0,3,0,0,0,0,2,0,3,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,1,0,1,0,5,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,4,0,3,0],[0,2,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,1,0,1,0,2,0,0,1,0,3,0,0,3,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,2,0,1,0,2,0,3,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,1,0,0,0],[1,0,1,0,1,0,1,0,8,0,0,0,0,0,0,0,0,2,0,3],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0],[3,0,2,0,0,0,1,0,0,1,0,0,0,0,3,0,0,0,2,0],[0,0,0,0,1,0,0,3,0,0,0,0,2,0,0,0,1,0,0,0],[0,0,0,2,0,2,0,0,0,0,3,0,0,0,0,0,0,2,0,1],[0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,5,0],[0,0,0,3,0,1,0,0,0,2,0,0,1,0,2,0,3,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,3,0],[0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,2,0,0,0,3,0,0,0,4,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[1,0,3,0,1,0,1,0,3,0,0,1,0,2,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,2,0,0,1,0,0,1,0,4,0,1,0,1,0,2,0],[0,0,0,1,0,0,3,0,1,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,4,0,0,0,3,0,0,2,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,2,0,0],[2,0,0,3,0,0,6,0,0,0,4,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,3],[11,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,3,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,4,0,0,0,5,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2],[3,0,0,0,0,0,3,0,0,0,1,0,0,0,0,1,0,0,0,0],] -- [[4,0,0,2,0,3,0,0,2,0,0,2,0,0,3,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,4,0,4,0,0,0,1,0,0,0,4],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,1,0,3,0,0,0,2,0,0],[4,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,3,0,0,1,0],[0,0,4,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,1,0,1],[0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,2,0,3],[2,0,0,0,0,0,12,0,0,1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0],[0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,4,0,1,0,0,0,0,3,0,0,0,0,3,0,0,2,0],[4,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0],] -- [[2,0,7,0,1,0,3,0,0,0,3,0,0,0,1,0,5,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,2,0,0,3,0,0,0,0,0,0,4],[2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0],[0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,7,0,0,0,3,0,4,0,0,0,3,0,2,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,3,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,0,5,0,4,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,1,0,1,0,2,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,5,0],[0,4,0,0,0,0,0,3,0,0,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,3],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,4,0,0,0,1,0,0,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0],] -- [[1,0,3,0,0,2,0,1,0,1,0,4,0,0,6,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,0,1,0,0],[0,0,0,1,0,3,0,0,0,0,0,2,0,1,0,1,0,0,1,0],[0,0,1,0,0,0,0,0,2,0,0,0,0,0,3,0,0,2,0,0],[0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,3],[4,0,0,0,3,0,0,0,0,2,0,3,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0],[3,0,3,0,0,3,0,0,0,0,4,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],[0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0],[0,0,0,3,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,4,0,4,0,0,0,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,3],[3,0,0,0,0,0,0,0,3,0,0,0,0,3,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[2,0,0,1,0,2,0,1,0,3,0,1,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,3,0,0,0,0,2,0,1,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[1,0,1,0,0,2,0,0,2,0,0,0,2,0,0,0,0,1,0,0],[0,3,0,1,0,0,0,2,0,0,1,0,0,0,0,0,3,0,5,0],[0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0],[7,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,1,0,0,0,1,0,2,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0],[0,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,2,0,0,0,0,1,0,1,0,3,0,0,0,1,0,0],[0,0,0,0,0,0,3,0,4,0,1,0,0,0,0,0,0,0,2,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,5,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[2,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0],] -- [[0,0,3,0,0,4,0,0,4,0,1,0,1,0,1,0,1,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,3,0,3,0,1,0,1,0,0],[1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1],[0,0,0,0,4,0,1,0,0,3,0,0,0,0,0,3,0,0,3,0],[0,5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,3,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,1,0,3],[0,1,0,0,3,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,1,0,0,1,0,1,0,0,3,0,0],[1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,1,0,1],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,1,0,2,0,0,2,0,0,4,0,0,0,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0],[0,0,0,3,0,2,0,2,0,0,0,7,0,0,0,3,0,2,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,3,0,2,0,1,0,3,0,0,0,2,0,2,0,0,3,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,3,0,1,0,0,6,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,2,0,0,2,0,0,0,3,0,3,0,0,0,0],[0,0,2,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[12,0,0,0,0,0,0,0,0,1,0,0,4,0,0,2,0,3,0,0],[0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,7,0,0,0,4,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,3,0,0,4,0,1,0,2,0],[0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,5,0],[0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,1,0,2,0,3,0,0,0,0,0,0,0,0,1,0,1,0,0],[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,2,0,4,0,0,3,0,0,0,3,0,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,2,0,0],[8,0,1,0,6,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,8,0,0,0,0,0,0,2,0,3,0,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[5,0,0,7,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,3,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,0,2],[3,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,0,0,2,0,0,0,0,2,0,1,0],[0,0,0,0,0,3,0,0,0,4,0,0,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,5,0,1,0,1],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,1,0,1,0,1,0,3,0,0,0,3,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,2,0,1,0,2,0,5,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,1,0,3],[3,0,2,0,0,0,1,0,5,0,1,0,0,0,0,0,0,0,0,0],[0,3,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,3],[3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,0,1,0,2,0,2,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,1,0,7,0,0,4,0,0,1,0,0,1,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0],[5,0,0,4,0,0,0,0,0,0,1,0,3,0,0,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,2,0,0,4,0,0,0,0,0,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],] -- [[1,0,0,3,0,0,2,0,0,2,0,3,0,1,0,1,0,4,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,2,0,1,0,1,0,1,0,0,0,4,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,4,0,0,0],[0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,2,0,0,2,0,3,0,3,0,0,0,0,3,0,0,0,0,3],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,7,0,0,0,0,0,0,0,2,0,2,0,2,0],[2,0,3,0,0,0,0,1,0,0,3,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,3],[0,2,0,0,0,0,1,0,0,3,0,0,0,0,5,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,3,0,1,0,0,0,0,4,0,0,0,0,0,0,0,2],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0],[0,0,0,1,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],] -- [[0,0,4,0,0,0,4,0,1,0,1,0,0,2,0,2,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,2,0,3,0,1,0,0,0,0,3],[0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,0,0,3,0,0,0,0,3,0,0,0,0,2,0,0],[0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,3,0,0,0,1],[0,0,0,1,0,0,0,2,0,0,1,0,2,0,0,0,0,2,0,0],[0,0,0,0,6,0,0,0,0,3,0,0,0,0,0,1,0,0,0,3],[1,0,0,0,0,0,1,0,0,0,0,2,0,0,3,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0],[3,0,0,0,0,0,3,0,0,2,0,0,0,0,3,0,1,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,4],[0,0,0,0,3,0,0,0,0,0,1,0,2,0,0,2,0,0,0,0],[0,0,0,0,0,1,0,0,0,7,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2],[0,0,2,0,3,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,3,0,0],] -- 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[[2,0,2,0,0,4,0,0,2,0,0,6,0,0,3,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,2,0,0,0,0,3,0,2,0,0,0,0,0,0,1,0,0,0],[5,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,0,0,0],[0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0],[4,0,0,0,2,0,0,0,0,5,0,0,1,0,4,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[1,0,1,0,0,0,3,0,0,2,0,2,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0],[5,0,0,0,0,0,1,0,0,0,0,0,7,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,2,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[3,0,0,6,0,0,0,1,0,0,4,0,1,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2],[4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0],] -- 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[[0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0],[0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,4,0,2,0,0,0,0],[0,3,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2],[0,0,0,0,5,0,0,0,0,0,2,0,0,1,0,0,4,0,0,0],[1,0,2,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,3,0,0,0,5],[0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0],[0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,1],[0,1,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,4,0,1,0,0,0,0,4,0,0,0,0,0,0,3,0,0],[0,0,2,0,0,0,0,2,0,0,0,0,3,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,3],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0],[2,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,2,0,2,0,0,0,4,0,0,3,0,0,3,0,0,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0],[0,2,0,0,1,0,0,0,6,0,1,0,0,1,0,2,0,0,0,2],] -- [[0,0,0,0,1,0,2,0,4,0,0,0,2,0,0,3,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,3,0,0,0,0,0,1,0,0],[1,0,3,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,5,0,0,0,0,0,0,1,0,2,0,0,0,0],[1,0,0,0,0,0,0,0,0,3,0,0,1,0,3,0,0,4,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,2,0,4],[0,0,0,4,0,0,0,4,0,1,0,5,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,2,0,0,0,0,2,0,0,2,0,0],[0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,2,0,2,0,0,1,0,1,0,0,2,0],[0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[1,0,1,0,4,0,0,0,3,0,3,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1],] -- [[1,0,2,0,0,1,0,2,0,0,8,0,0,0,3,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,5,0,0,5,0,1,0,0,0,0,0,3,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,3,0,0,1,0,4,0,0],[3,0,0,3,0,0,2,0,3,0,0,0,0,0,0,0,8,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,2,0,4,0,0,0,1,0,0,0,0,0,0,0,0,1,0],[4,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,2,0,0,0,1,0,7,0,0,5,0,0,0,0],[4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1],[0,0,2,0,0,3,0,3,0,4,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],] -- [[2,0,0,1,0,1,0,1,0,4,0,0,4,0,0,3,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,3,0,5,0,0,0,0],[2,0,0,0,0,1,0,5,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,1,0,0,0,0],[8,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,1,0],[0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,3,0,0],[0,0,5,0,0,1,0,7,0,0,3,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,0,0,7,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,3,0,0],[0,0,0,0,5,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,3,0,5,0,0,3,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,2,0,2,0,0,1,0,3,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,1,0,0,0,3,0,0,0,5,0,1,0,3,0],[0,4,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,3,0,0,1,0,0,3,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,9,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0],[1,0,2,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,1,0,0,0,0,0,0,7,0,1,0,0,0,0],[0,0,1,0,0,0,0,0,3,0,0,1,0,0,0,0,2,0,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,1],[0,0,4,0,0,2,0,0,0,0,0,0,0,0,2,0,4,0,0,0],[0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,2,0],[2,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,1,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- 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[[1,0,9,0,1,0,1,0,5,0,0,0,3,0,1,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,8,0,0],[0,0,2,0,0,0,2,0,0,0,1,0,9,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,3,0,1,0,0,0,3,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[4,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,2,0,1,0,3,0,0,3,0,0,1,0],[0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0],[2,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,1,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,2,0,3,0,0],[1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2],[0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0],] -- [[1,0,1,0,1,0,2,0,0,1,0,2,0,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,4,0,0,1,0,2,0,0,3,0,0,1,0,0,2,0,0],[0,0,3,0,0,0,0,3,0,0,9,0,0,0,0,1,0,0,0,3],[2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,1,0,7,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,5,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0],[0,5,0,0,0,0,0,3,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0],[3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,2,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,1,0,4,0,1,0,0,0],[8,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,3,0,0,0,2,0,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,4,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,0,0,0,0],] -- [[1,0,1,0,1,0,2,0,0,1,0,3,0,3,0,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,1,0,3,0,0,0,0,2,0,2,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,1,0,0,3,0,0,0,3,0,0,0,2,0,1,0,3,0],[0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,3,0,4,0,0,0,5,0,0,0],[0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,6,0,0,0,0,0,2,0,0,3,0],[0,0,2,0,0,2,0,0,0,0,0,1,0,7,0,0,0,0,0,0],[3,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0],[0,0,9,0,4,0,0,0,4,0,0,0,4,0,0,1,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,2,0,0,2,0,0,0,2,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,3,0,1,0,0,0,3,0,2,0,3,0,0,0,4,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,1,0,2,0,0,0,0,0,2,0,0,3,0,3],[0,2,0,0,0,4,0,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,6,0,1,0,4],[0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,0,7,0,0,0,0,2,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,3,0,0,0,0,0],[0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,8],[0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0],[0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,4,0,0,0,1,0,0,0,4,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,1,0,0,5,0,0,0,3,0,0,4,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,1,0,0,0,0],[2,0,0,3,0,1,0,1,0,0,0,4,0,0,0,0,0,2,0,1],[0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,3,0],[0,3,0,0,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0],[0,2,0,0,4,0,0,0,0,0,0,0,2,0,0,0,3,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,3,0,1,0,0,0,0,0,0,8,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,3],[0,0,0,0,0,1,0,0,0,0,3,0,2,0,1,0,0,0,0,0],[0,1,0,3,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,2,0,0,0,0],[2,0,1,0,0,3,0,0,0,0,4,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,1,0,1,0,0,0,3,0,2,0,0,0,4,0,1],] -- 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[[2,0,0,1,0,3,0,2,0,0,2,0,0,3,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,4,0],[0,2,0,0,0,0,1,0,0,0,3,0,0,0,7,0,0,0,0,0],[0,0,0,0,1,0,0,3,0,0,0,0,4,0,0,0,2,0,0,0],[0,0,4,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,0,3,0,0,0,0,0,3,0,0,2,0,0,0,0,0,1,0],[0,0,0,0,0,0,7,0,0,0,0,1,0,0,3,0,3,0,0,0],[1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,4],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[1,0,5,0,2,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0,0,0,0],[2,0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],[0,1,0,0,0,0,2,0,0,0,0,2,0,4,0,0,0,1,0,3],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0],] -- [[1,0,1,0,1,0,2,0,2,0,2,0,0,2,0,1,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,2,0,0,1,0,5,0,0,0,0,0],[0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,1,0,0,3,0,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,0,0,3,0,0,0,0,4,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,2,0,4,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,3,0,0,0,0,3,0,0,0,0,1,0,1,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[4,0,0,0,0,0,0,4,0,0,0,0,0,1,0,3,0,3,0,0],[0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,3,0,1,0,4,0,0,0,0,0],[0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0],[0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,3,0,0,0,3,0,0,2,0,0,6,0,0,0,1],[3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,2,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,1,0,3,0,0,4,0,1,0,2,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,0,0,2,0,0,0,0,0,0,0,2,0,2,0,0,0,0,1,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,6,0,0,2,0,0],[2,0,0,0,0,2,0,0,4,0,0,2,0,0,0,0,0,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,3,0,0],[3,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0],[0,0,0,0,0,0,3,0,3,0,0,0,0,3,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,3],[0,2,0,3,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,0,0,1,0,0,0,3,0,0,3,0,0,3],[0,3,0,0,0,0,4,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[6,0,2,0,0,1,0,3,0,0,0,2,0,8,0,5,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,3,0,0,0,2,0,0,0,0,0,0,2,0],[0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,2,0,0,5,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0],[0,0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,4,0,0,2,0],[3,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1],[0,0,0,0,0,4,0,0,5,0,0,0,0,0,0,2,0,4,0,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,3,0,2,0,1,0,0,0],[0,0,1,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1],[2,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0],[0,0,0,0,0,2,0,3,0,0,0,4,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0],[2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[0,1,0,2,0,0,2,0,0,2,0,2,0,1,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,3,0,0,2,0,2,0,1,0,3,0,0,3,0,2],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,4,0,0,0,0,1,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,2],[0,0,0,3,0,0,0,0,0,0,2,0,1,0,1,0,0,2,0,0],[0,0,0,0,3,0,1,0,0,0,0,0,0,4,0,1,0,0,3,0],[0,5,0,0,0,0,0,0,0,3,0,3,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,1],[0,0,0,4,0,0,0,3,0,0,0,0,2,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,7],[0,0,3,0,0,3,0,0,0,0,0,5,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,2,0,0,4,0,0,0,0,0,4,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[0,0,4,0,0,1,0,1,0,0,4,0,0,2,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,2,0,0,0,4,0,0,0,0,0,0,3,0,1,0,0,0],[0,1,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,2],[0,0,0,0,9,0,0,0,0,0,0,0,0,2,0,3,0,1,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,3,0,0],[0,0,0,0,1,0,0,5,0,0,0,1,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0],[0,3,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,1,0,1],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,3,0,2,0,0,0,0,0,3,0,0,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,0,4,0,0,3,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,5],[0,0,1,0,1,0,0,0,2,0,0,3,0,0,1,0,0,0,0,0],[0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1],[0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,3,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,2],] -- [[1,0,1,0,2,0,0,4,0,2,0,0,1,0,1,0,4,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,4,0,3,0,0,0,0,2,0,2,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,1,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,4,0,0],[2,0,3,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,1],[0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,2,0,1,0],[1,0,3,0,2,0,0,3,0,0,0,0,0,0,1,0,0,0,0,1],[0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0,0,3,0,0],[2,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,1,0,2,0,2,0,3,0,3,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0],[0,5,0,0,4,0,0,0,4,0,0,1,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0],] -- 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[[3,0,2,0,2,0,3,0,3,0,0,9,0,0,2,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0],[0,1,0,2,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0],[2,0,3,0,3,0,1,0,3,0,0,1,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,3,0],[3,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,0,3,0,0,0,2,0,0,3,0,0,2,0,3,0,0,0,1,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,1,0,3,0,2,0,0,0,4,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,0,3,0,0,0,2,0,0,2,0,3,0,0,0,0,0,0],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0],[3,0,0,0,0,0,2,0,4,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,4,0,0,2,0,0,1,0,4,0,3,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,3,0,0,0],[2,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2],[0,4,0,0,2,0,3,0,0,2,0,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0],[4,0,0,0,0,4,0,0,3,0,3,0,0,0,0,0,0,0,0,3],[0,0,0,1,0,0,0,0,0,0,0,0,4,0,6,0,0,0,0,0],[0,0,3,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[10,0,0,0,4,0,0,2,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,4,0,0,0,0,2,0,3],[4,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- 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[[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1],[2,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0],[0,0,7,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,2,0,1,0,0],[0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0],[0,4,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,1,0,0,0,2,0,4,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,1,0,0,0,1,0,8,0,0,0,0,0,2,0,2,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0],[0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[1,0,0,0,1,0,0,2,0,0,0,0,7,0,0,3,0,0,0,2],[0,0,0,0,0,3,0,0,0,2,0,1,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,1,0,3,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,3,0,2,0,0,1,0,1,0,1,0,3,0,1,0,2,0],] -- [[0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,2,0,1,0,3,0,0,0,0,6,0,1],[3,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,1,0,0,0],[0,0,0,4,0,0,0,1,0,0,0,0,3,0,0,1,0,0,0,1],[0,1,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,2,0,1,0,3],[0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0,4,0,0,0,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[3,0,2,0,6,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,4,0,0,3,0,0,0,0,0,4,0,0,0],[0,0,8,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,4,0],[0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,1,0,1,0,0,5,0,0,2,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,1,0,0,2,0,0,2,0,0,2,0,0,0,3],] -- [[4,0,0,4,0,0,0,1,0,3,0,0,0,2,0,4,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,1,0,3,0,0,0,0,2,0,2],[1,0,0,0,1,0,0,0,0,3,0,0,0,0,0,7,0,0,0,0],[0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,7,0,2,0,0,0,1,0,3],[1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0],[0,0,1,0,2,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,2,0,1],[0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,2,0,1,0,0,0,0,4,0,0,1,0,0,1,0],[7,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,2,0,0,0],[0,0,4,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1],] -- [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,4],[3,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,1,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,5,0,0,0,0,0,4,0,1,0,0,0],[3,0,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,3],[0,0,0,4,0,0,1,0,1,0,0,11,0,0,0,0,0,4,0,0],[1,0,1,0,0,2,0,1,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,3,0,0,0,0,2,0,0,3,0,1,0],[0,4,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,0,0,3,0,2,0,1,0,6,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,3,0,0,2,0,0,2,0,2,0,2,0,1,0,3],] -- [[1,0,1,0,5,0,0,5,0,0,4,0,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0],[0,0,0,0,3,0,4,0,0,4,0,0,3,0,1,0,0,1,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0],[0,0,5,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[4,0,0,0,0,0,0,3,0,0,3,0,0,7,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,1,0,0,0,1,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,7,0,0,0,2,0,0,1,0,0,0],[3,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[1,0,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,4,0,0],[0,0,4,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1],[2,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,3,0,0,0,0,4,0,0,0,0,2],[0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[0,3,0,5,0,2,0,0,2,0,1,0,4,0,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,4,0,1,0,0,1,0,1,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,4,0,0,0],[1,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,2,0,0],[2,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,4,0,0,0,0,4,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,7,0],[0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[3,0,0,5,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,10,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,2,0,4,0,0,0,2,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,0],[1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0],] -- [[2,0,0,4,0,0,0,1,0,2,0,2,0,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,1,0,3,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,7,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,2,0,0,0,1,0,0,0,0,0,3,0,4,0,0,0],[4,0,0,0,0,0,1,0,0,2,0,4,0,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0],[0,0,0,0,7,0,1,0,0,3,0,0,0,1,0,0,2,0,0,1],[3,0,4,0,0,0,0,4,0,0,0,3,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,2,0,3,0,0],[1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3],[0,2,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,3,0,0,0,0],[2,0,0,3,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[2,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0],] -- [[1,0,2,0,0,2,0,0,2,0,4,0,0,4,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,3,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,3,0],[0,0,0,0,1,0,6,0,0,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,3,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,1,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,3,0],[0,0,0,2,0,0,2,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[1,0,2,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,1,0],[2,0,0,4,0,0,1,0,1,0,0,0,0,0,0,1,0,3,0,0],[0,0,2,0,0,0,0,3,0,2,0,2,0,0,1,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[3,0,0,3,0,1,0,0,0,0,4,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,0,0,1,0,2,0,2,0,2,0,2,0,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,0,0,0,0,4,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,4,0,0],[5,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,2,0,1,0,0,0,0,0,0,3,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,0,2,0,0,4,0,0,3,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0],[3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,0,3,0,0,2,0,1,0],[0,0,0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,1],[1,0,0,2,0,3,0,0,0,1,0,0,0,4,0,1,0,2,0,0],[0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,3,0,0,0,0,5,0,0,0,2,0,0,0],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0],[1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0],] -- 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[[7,0,3,0,0,0,3,0,2,0,0,1,0,1,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,1,0,3,0,0,0,2,0,0,4,0,0],[0,0,0,0,0,0,0,3,0,4,0,0,0,2,0,0,1,0,0,0],[0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,0,0,0,7,0,0,2,0,7,0,0,0,2,0,4],[0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0],[0,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0,0,1,0,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0,1,0],[0,0,0,4,0,0,2,0,5,0,0,0,2,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0],[3,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,2,0,2,0,0,0],[3,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0],] -- [[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,2,0,0,0,3,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,3],[0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,2,0,6,0,0],[0,0,3,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[0,4,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,2,0,4],[0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,1,0,0,5,0,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,3,0,1,0,0,0,7,0,3,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4],[4,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1],[0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,3,0,0],[0,2,0,0,0,0,0,0,0,4,0,1,0,0,5,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,5,0,3,0,0,2,0,1,0,0,0,3,0,1,0,1],] -- [[2,0,0,4,0,0,3,0,0,2,0,3,0,2,0,3,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,2,0,0,1,0,2,0,0,3,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,2,0,2,0,0,1,0,1,0,2,0,0,0,0,0,3,0,3],[0,0,0,0,0,0,2,0,4,0,0,0,0,1,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,3,0,0,0,3,0,3,0,4,0],[3,0,0,6,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[5,0,0,0,0,0,0,0,3,0,0,3,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,1,0,0,2,0,0,1,0,5,0],[3,0,0,0,2,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0],[0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],] -- [[2,0,0,5,0,0,0,2,0,2,0,0,2,0,2,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,4,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,2,0,0,2,0,0,0,0,3,0,3,0,1,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[1,0,5,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[1,0,0,0,0,3,0,6,0,0,4,0,0,0,0,3,0,0,0,2],[0,4,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,1,0],[0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,14,0,0,0,0,2,0,2,0,0,0],[0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,5,0,1,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,1,0,4,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,3,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,3,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,2],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,4,0,0,2],[0,0,0,3,0,0,8,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,0,0,0,0,4,0,0,1,0,0,3,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0],[0,0,4,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2],[0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,0,4,0,0],[0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,2,0,2,0,0,0,0,3],[0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,2,0,0,0,0],[3,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,3,0,2],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,3,0,0,3,0,3,0,2,0,0,0,0,4,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,3,0,0,2,0,0,3,0,3,0,1,0,0,2],] -- 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[[1,0,2,0,0,3,0,0,1,0,4,0,0,1,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,1,0,0,3,0,0,0,0,3,0,0,0,1,0,1,0],[0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,5,0,0,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,0,3,0,0,0,0,3,0,0,0],[4,0,0,6,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,9,0,2,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[1,0,1,0,0,0,0,0,2,0,1,0,1,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0],[3,0,3,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,3,0,0,0,9,0,0,0,4,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,3],[0,2,0,2,0,0,0,0,3,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],] -- [[2,0,1,0,1,0,1,0,4,0,0,0,1,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,3,0,3,0,0,3,0,0,3,0,2,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0],[0,0,4,0,0,3,0,0,0,2,0,0,0,2,0,0,0,3,0,0],[3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,1,0,1,0,3,0,0,0,0,0],[0,0,1,0,4,0,0,0,0,3,0,1,0,0,0,0,3,0,0,2],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,3,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,2,0,0,2,0,0,1],[2,0,4,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0],[0,0,0,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,2,0,4,0,0,0,1,0],[3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,3,0,2,0,0,1,0,2,0,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,0,2,0,2,0,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,3,0,0,1,0,1,0,2,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,3,0,0,0,2,0,3,0,3,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[4,0,2,0,3,0,0,0,3,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,3,0,0,0,1,0,1,0,9,0,0,0,0],[0,0,0,2,0,3,0,0,0,0,1,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,0,2,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0],[0,0,1,0,0,0,0,0,0,7,0,0,0,1,0,0,1,0,0,0],[7,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,2],[0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,2,0,5,0,3,0,0,1,0,3,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,3,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,1,0,0,0,0,0,3,0,0,1,0,0,0,2,0],[0,0,2,0,0,0,2,0,0,0,0,0,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,2,0,2,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],[1,0,2,0,0,4,0,0,0,0,0,3,0,2,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,2,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0],[0,0,0,3,0,1,0,4,0,1,0,0,2,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0],[1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,3,0,1,0,2],[1,0,3,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,3,0,0,2,0,0,0,4,0,0],[3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,2],[3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,3,0,0,0,3,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[5,0,0,1,0,0,1,0,8,0,0,0,0,1,0,4,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,2,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0],[0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,1,0],[0,0,0,1,0,0,0,4,0,0,1,0,0,4,0,0,0,1,0,0],[10,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,1,0,0,0],[5,0,0,0,0,0,0,0,0,4,0,0,0,0,6,0,0,0,0,0],[0,0,0,0,0,5,0,1,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,3,0,1,0,0,0,0,0,0,0,3,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,1,0,3,0,0,4,0,3,0,0,0,1,0,3,0,0],] -- [[1,0,3,0,3,0,0,2,0,3,0,0,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,3,0,0,0,1,0,2,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0],[0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,3,0,0,1],[0,0,0,0,0,2,0,0,0,5,0,0,7,0,0,0,0,0,1,0],[2,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,2],[4,0,0,0,0,0,0,0,0,4,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,1,0,0,0,0,0,1,0,1,0,5,0,0,1],[0,0,0,0,0,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0],[7,0,3,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,3],[2,0,3,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0],] -- [[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,3],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,3,0,1,0,0,3,0,0,3,0,1,0,0,0,0,0,2],[0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,3],[0,3,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0],[3,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,5,0,0,2],[0,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,4,0,0,0,1,0,0,0,0,4,0,2,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,8,0,1,0,0,0,0],[0,0,3,0,0,5,0,0,0,0,0,0,0,0,1,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,1,0,5,0,3,0,0,3,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,3,0,2,0,1,0,1,0,0,2,0,0,3,0,0,2],] -- [[1,0,1,0,3,0,0,0,3,0,0,1,0,2,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,7,0,0,1,0,0,0,1,0,3,0,1,0,2,0,1,0],[0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,3],[0,2,0,0,0,0,0,1,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,2,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,3,0,0,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,3,0,0,0,0,0,4,0,0,0,0,0,1,0,1,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,1,0,2,0,0,0,0,0,1],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,4,0,0,0,0,0,2,0,2,0,0,2,0,6,0,0,0,2,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,2,0,1,0,0,2,0,0,0,0,0,3],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0],[1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,4,0,0,1,0,0,1,0,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],] -- [[2,0,0,3,0,0,0,3,0,0,2,0,2,0,5,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,2,0,0,0,0,2,0,4,0,2,0,0,1,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,1,0,3,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,4,0,0,0,0,0,3,0,4,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,1,0,0,0,2,0,0,0,0,0],[5,0,0,0,6,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0],[0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,1,0,1],[3,0,0,0,0,0,0,0,3,0,0,2,0,0,4,0,1,0,0,0],[0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2],[0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,2,0,4,0,0,0,0,0,0,0,0,3],[1,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[2,0,0,2,0,2,0,0,1,0,2,0,3,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,4,0,3,0,0,0,0,2,0,0,3,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0,0,1,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0],[0,0,0,1,0,0,4,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,1,0,1,0,3,0,0,0,3,0,3,0,1],[1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,2,0,0,3,0,0,5,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,2,0,3,0,0,0,0,0,4,0,0,0,2,0,1,0,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,7,0,0,0,3,0,5,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,3,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,3,0,0],[2,0,0,0,0,3,0,0,4,0,0,1,0,1,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3],[0,1,0,0,0,1,0,0,3,0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,4,0,1,0,0,5,0,0,4],[0,2,0,1,0,0,0,3,0,1,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,2,0,2,0,1],[2,0,0,0,0,0,4,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,2],[0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,4,0,0],[3,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3],[1,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,1,0,0,0],[0,0,0,4,0,0,4,0,0,0,0,0,0,0,3,0,0,0,2,0],[2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,2,0,2,0,0,2,0,4,0,0,0,0,3,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,3,0,0,0,3,0,2,0,0,3,0,1,0,0,2],] -- [[4,0,1,0,2,0,0,3,0,0,0,2,0,0,4,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,1,0,2,0,2,0,1,0,3,0,0],[0,0,4,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,0,0,0,0,0,1,0,5,0,1,0,0,0],[0,4,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,7,0,0,3,0,0],[0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0,4,0,0,0,1,0,0,0,0,0],[5,0,1,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,2,0],[0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,0,0,0,0,0,1,0,4,0,4,0,1,0],[1,0,0,1,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,2],[0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0],] -- [[0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,2,0,0,0,3,0,0,2,0,2,0,0,0,0,1,0,1,0],[4,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,5,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0],[2,0,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,1,0],[0,0,0,0,0,5,0,0,2,0,0,0,0,0,0,1,0,0,0,0],[2,0,3,0,0,0,0,1,0,0,0,2,0,0,1,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,0,0,0,0,1,0,0,0,0,4,0],[3,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,1,0,4,0,0,0,0,4,0,0,0,0,4,0,0,0],[5,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0],[3,0,0,0,3,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,1,0,1,0,5,0,0,0,1,0,4,0,0,0,1,0,0,1],] -- [[1,0,4,0,0,3,0,0,2,0,1,0,2,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,1],[0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,2,0,0,0,0,5,0,0,0,0,0,0,4,0,0,0,0,0],[1,0,0,0,3,0,1,0,0,2,0,0,0,0,0,0,2,0,0,1],[0,0,0,0,0,0,0,1,0,0,0,4,0,0,1,0,0,0,0,0],[3,0,0,3,0,0,0,0,0,0,0,0,0,2,0,3,0,0,2,0],[0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,4,0,0,0,1,0,0,0,0,2],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0],[0,0,4,0,0,0,0,0,0,1,0,2,0,4,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,1,0,9,0,0,0,1,0,0,0,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,0,2,0,6,0,0,1,0,0,0,6,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[3,0,0,0,0,0,0,3,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,5,0,6,0,0,3,0,0,0,2,0,3,0,0,2,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,1,0,3,0],[2,0,0,0,0,0,0,0,0,0,0,0,4,0,4,0,0,0,0,0],[0,0,3,0,0,1,0,0,2,0,0,0,0,0,0,0,0,3,0,0],[2,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[2,0,1,0,2,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,2,0,0,0,2,0,0,3,0,0],[0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,1,0,0,0,3,0,0,1,0,0,0,2],[0,0,5,0,0,0,1,0,0,5,0,0,0,0,5,0,1,0,0,0],[4,0,0,0,1,0,0,2,0,0,0,0,3,0,0,0,0,3,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,2,0,0,3,0,0,1,0,1,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1],[2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[1,0,1,0,3,0,2,0,1,0,2,0,0,4,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,1,0,3,0,0,0,0,0,4,0,0,0,3],[0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,3,0,0,0],[3,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,3,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,4,0,0,4,0,0,0,0,2,0,1],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,1,0,3,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,8,0,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0],[0,0,0,0,0,3,0,3,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,3,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,3,0,0,3,0,0,3,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,2],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,4,0,1,0,0,2,0,2,0,0,3,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,6,0,3,0,2,0,0,0,0,0,0,0,0,1],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,1,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,2,0,0],[0,0,0,0,0,4,0,0,2,0,0,3,0,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,4,0,1],[0,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0],[0,0,0,0,3,0,0,5,0,4,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,3,0,0,0,2],[0,0,3,0,0,0,0,0,1,0,0,4,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,3,0,0,5,0,0,0,0,0,0,0,0,2,0,1],[0,3,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,3],[0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,2,0,0,1,0,3,0,0,2,0,2,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,0,0,0,0,3,0,3,0,0,1,0,1],[0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,1,0],[4,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,5,0,0,0],[0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1,0,0,0,0],[1,0,1,0,2,0,1,0,0,0,0,0,0,0,4,0,2,0,0,0],[0,0,0,0,0,0,0,5,0,3,0,0,0,0,0,0,0,0,2,0],[1,0,3,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0],[1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,1,0,1,0,3,0,0,0,1,0,2],[4,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,3,0,0,2,0,3,0,0,3,0,0],[0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,4,0,0,0,3,0,0,2,0,1,0,2,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1],[0,0,0,0,0,1,0,1,0,2,0,0,2,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1],[3,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,2,0,0,0],[0,0,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,3,0],[4,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,2,0,0,0],[0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,1,0,1],[0,1,0,0,0,1,0,1,0,0,3,0,0,0,3,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,0,0],[1,0,3,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,1,0,0,0,7,0,0,1,0,4,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,0,3,0,1,0,1,0,5,0,0,3,0,0,3,0,3,0,3,0],] -- [[0,1,0,0,0,0,0,3,0,0,2,0,0,4,0,0,0,4,0,8],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,1,0,0,4,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,3,0,0,2,0,0,0,0,8,0,2,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,4,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0,2],[0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,2,0,0,0,0,0,2,0,0,3,0,0,0,0,2],[0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,2,0,0,2,0,0,0,4,0,0,2,0,0,3,0,0,0,3],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,2,0,0,0,0,1,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,2,0,0,0,0],[0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,2],[0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,2,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2],] -- [[4,0,0,0,0,2,0,1,0,3,0,4,0,2,0,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,2,0,2,0,8,0,0,0,0,0,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0],[0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,4,0,0,1],[0,0,0,2,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0],[0,2,0,0,0,1,0,0,0,0,4,0,0,0,0,2,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,3,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0],[0,0,0,0,3,0,0,2,0,3,0,2,0,3,0,0,0,0,3,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0],[9,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[1,0,4,0,0,0,2,0,0,2,0,3,0,0,2,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,2,0,4,0,0,1,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,1,0,0,5,0,0,2,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,0,1,0,0,0,3,0,0,0,0,3,0,0,1,0,2,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[3,0,0,1,0,2,0,2,0,0,3,0,0,0,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0],[0,0,0,0,3,0,0,7,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0],[2,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,6,0,0,0,0,0,0,0,1,0,2,0,0,1,0,3],[3,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,4,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0],[3,0,0,1,0,0,0,3,0,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1],] -- [[3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1],[0,0,0,0,3,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,4,0,3,0,0],[1,0,4,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0],[0,0,0,0,0,6,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,2,0],[0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0],[4,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,1,0,4,0,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[3,0,0,0,0,0,2,0,0,0,5,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,3,0,2,0,0],[0,0,2,0,0,0,0,0,1,0,3,0,3,0,0,0,0,0,0,0],[4,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[4,0,0,0,2,0,6,0,0,0,0,3,0,0,2,0,0,0,0,1],] -- [[2,0,2,0,0,1,0,2,0,0,2,0,0,3,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,1,0,8,0,0,0,0,0,0,0,1,0,3,0,1],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,3,0,0,0,0,1,0,1,0,0,0,0,0,0,6,0,0,0],[0,0,0,0,2,0,2,0,4,0,4,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[4,0,1,0,2,0,2,0,0,0,1,0,6,0,2,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,2,0,1,0,2,0,0,0,0,0,2,0,0,0,0],[0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,2],[0,1,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3],[0,7,0,0,0,3,0,0,2,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,6,0,0,0,0],[3,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[7,0,1,0,3,0,0,2,0,0,3,0,0,0,2,0,3,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,4,0,1,0,1,0,2,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,1],[3,0,2,0,0,0,0,0,1,0,0,0,3,0,3,0,0,0,0,0],[0,0,0,0,3,0,0,3,0,3,0,0,0,0,0,0,3,0,0,3],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,2,0,0,0,7,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0],[0,0,4,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,3,0],[2,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,2,0,1,0,2,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,5,0,0,0,3,0,0,1,0,3],[0,0,0,8,0,3,0,0,0,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,3,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0],] -- [[3,0,2,0,3,0,0,0,2,0,3,0,0,3,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,6,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,4,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0],[1,0,0,0,3,0,0,0,0,0,3,0,5,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[3,0,1,0,2,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,2,0,3,0,0,6,0,0,2,0,0,1],[3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,3,0,1,0,2,0,0,0,0,0,1,0,1],[0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,1,0,0,0],[1,0,4,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,4,0,0,0,0,0,0,1,0],[3,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,3,0],[0,0,0,0,1,0,0,0,0,0,0,2,0,5,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,4,0,0,2,0,0,1,0,4,0,0,4,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,3,0,1,0,0,0,0,0,1,0,2,0,0],[3,0,1,0,0,0,0,0,0,0,2,0,3,0,2,0,2,0,0,0],[0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,2,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,5,0,0,3,0,0,3],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,2,0,1,0,0,0,2,0,3,0,0,0,1,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[4,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,1,0,1,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,2,0,0,3,0,2,0,0,3],[3,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,5,0,0,0],[3,0,3,0,0,3,0,0,0,0,0,4,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0],[0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0],] -- [[2,0,1,0,1,0,0,4,0,0,1,0,0,4,0,0,0,2,0,0],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1],[8,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,4,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0,0,2,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0],[0,0,0,0,0,1,0,0,0,7,0,0,0,0,1,0,0,0,0,0],[0,0,7,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,6,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0],[0,0,0,1,0,3,0,0,1,0,0,0,2,0,0,0,0,0,3,0],[1,0,3,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,1,0,0,1,0],[1,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,5,0,0,0],[0,0,0,2,0,0,0,0,1,0,0,3,0,0,2,0,0,0,0,0],[3,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,0,2,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,1],] -- [[3,0,0,0,3,0,0,0,4,0,3,0,0,4,0,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,3,0,0,4,0,0,4,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0],[7,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,5,0,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,2,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,3,0,0,3,0,0,0,0,0,3],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0],[2,0,1,0,1,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,4,0,2],[0,0,0,0,0,1,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[1,0,2,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,3,0,2,0,1,0,3,0,2,0,1,0,3,0,0,0,2],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,6,0,0,0,1,0],[2,0,1,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,2,0,4,0,0,0,2,0,0,0,0,3],[0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0],[0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,1,0,3,0,0,0,3,0,0,0,0,0],[1,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,4,0,0,0],[3,0,0,3,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,3],[0,0,0,0,0,2,0,0,0,0,2,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0],[4,0,0,0,3,0,3,0,0,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,0,3,0,0,0,0,2],[0,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0],] -- [[5,0,2,0,0,2,0,0,2,0,3,0,2,0,3,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,2,0,3,0,0],[2,0,3,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[3,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1],[0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,3,0,0,0,0,2,0,0,2,0,0,0,3,0,0,0],[1,0,0,0,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,2],[0,2,0,4,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,3,0,0,3],[1,0,3,0,0,3,0,0,0,2,0,0,0,2,0,0,0,0,0,0],[0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,4,0,0],[0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[1,0,7,0,2,0,1,0,2,0,1,0,3,0,3,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,2,0,0,4,0,0,5,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,5,0,0,3,0,0,0,0,0,4,0,4,0,0,0,3],[2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,2,0,0,0,0],[0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,4],[0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0],[8,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,2,0,0,3,0,0,0,0,0,2,0,0],[2,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,1,0,0,0,0,0,0,1,0,0,0,8,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,2,0,4,0,0,1,0,2,0,1,0,2,0,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0],[3,0,1,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,1,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,1,0,4,0,0,0,0,6,0],[3,0,7,0,0,0,2,0,0,0,6,0,0,0,0,0,0,2,0,2],[0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,4,0,0,0,0],[0,0,1,0,0,7,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[3,0,0,1,0,0,0,0,2,0,3,0,0,0,1,0,2,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,4,0,0,0,0,3,0,2,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,3,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0],[1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[2,0,5,0,0,0,4,0,0,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,3,0,0,1,0,1,0,9,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,7,0,0,0,0],[0,0,2,0,2,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,2,0,3,0,0,0,1,0,1,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,1,0,0,0,5,0,0,0,0],[0,0,0,7,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,1,0,0],[1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,1,0,6,0,0,0,0,1,0,0,0],[1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,1],[0,0,1,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,3,0,0,0,1,0,0,0,3,0,0,0,1,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0],[1,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0],] -- [[7,0,1,0,2,0,0,4,0,0,3,0,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,2,0,0,3,0,4,0,0,0,0],[0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,1,0,0,1,0,3,0,0,0,0,0,1,0],[1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,3,0,3,0,2],[0,0,0,0,2,0,0,1,0,1,0,4,0,0,0,0,0,0,0,0],[7,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,3,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,3,0,0],[8,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,1,0,7,0,0,0,0,3,0,0,0],[0,0,0,0,0,2,0,3,0,0,8,0,0,0,0,0,0,0,0,3],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0],[1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0],] -- [[1,0,3,0,0,1,0,1,0,1,0,4,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,3,0,3,0,0,0,0,1,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,2,0,2,0,0,0,0,2,0,0],[1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,3],[0,1,0,0,2,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0],[2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,3,0,1,0,6,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,4,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3],[0,0,3,0,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,1,0,0,1,0,10,0,0,0,2,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,4,0,0,0,4,0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,1,0,3,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,5,0,0,1,0,0,5,0,0,5,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,3,0,0,3,0,0,3,0,0,3,0,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0],[0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,2],[0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,1,0,0,5,0,0,0,0,0,0,4],[1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,4,0,1,0,0,0,4,0,0,0,4,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,5,0,3,0,0,0,0],[0,0,0,1,0,1,0,6,0,4,0,0,2,0,1,0,0,4,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,3,0,1,0,1,0,0,2,0,2,0,1,0,1],] -- [[3,0,3,0,0,2,0,0,4,0,0,0,4,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,2,0,2,0,0,0,0,9,0,2,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3],[0,1,0,0,0,3,0,5,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,3,0,0,0,0,0,3,0,0,2,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,3,0,1],[0,0,3,0,0,0,3,0,0,0,3,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0],[2,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,3,0,0,0,0,2,0,0,0,0,0,2,0,0,0,2,0,0],[3,0,0,0,0,0,0,0,0,2,0,2,0,0,0,2,0,0,0,2],[0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[2,0,0,2,0,0,1,0,1,0,1,0,2,0,0,2,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,3,0,4,0,0,0,1,0,2,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[7,0,0,0,0,0,3,0,0,0,0,2,0,2,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[4,0,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,2],[0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,3,0,0,0,0,0,0,1,0,4,0,0,1],[7,0,1,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,3,0],[0,0,0,2,0,0,3,0,0,0,0,0,0,3,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,3],[1,0,2,0,0,2,0,1,0,0,0,0,3,0,0,0,3,0,0,0],[0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0],[0,0,1,0,3,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0],[0,0,2,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0],] -- 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[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,4,0,0,1,0,0,0,0,0,4,0,0,3,0,0,1],[2,0,0,0,0,0,0,0,0,0,5,0,1,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,4,0,0,0,1,0,0,2,0,1,0,0,0],[0,0,0,4,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,4],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,5,0,3,0,1,0,0,0,0,4,0,0,0,0,0,3,0,1],[0,0,0,0,0,1,0,1,0,1,0,0,0,5,0,0,3,0,0,0],[0,3,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3],[0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,3],[0,1,0,0,0,6,0,0,0,0,0,3,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,4,0,1,0,0,0,0,0,0,3,0],[0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,1,0,0,3,0,0,0,0,0,2,0,0,0,3],] -- [[2,0,3,0,3,0,0,0,2,0,0,4,0,0,2,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,3,0,1,0,0,1,0,2,0,0,0,0],[2,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,4,0,0],[0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,4,0,0,0,1,0,2,0,3,0,0,0,0,0,1,0],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,2,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,1,0,3,0,0,3,0,0,2,0],[1,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,3,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,3,0,0],[0,0,0,3,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,3,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,0,0,0,3,0,0,7,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,1,0,0,5,0,0,0,0,0,0,3,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,1,0,0],] -- [[1,0,1,0,1,0,3,0,0,4,0,6,0,0,0,3,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,3,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,2,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,3,0,1,0,3,0,0,3,0,0,0,0,0],[4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,1,0,0,0,3,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,2,0,2,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,4,0,0,0,5,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,3,0,0,2,0,0,0,0,0,1,0,1,0,1],[0,0,4,0,0,0,0,0,0,0,0,6,0,0,2,0,8,0,0,0],[0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,3,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,0,1,0,1,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[4,0,5,0,0,3,0,0,4,0,0,0,0,2,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,4,0,3,0,3,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,1],[4,0,0,0,0,2,0,0,0,3,0,0,3,0,3,0,0,0,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,3,0,0,0,0,0,1,0,3,0,0,3],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,1,0],[3,0,0,4,0,0,0,3,0,1,0,6,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0],[0,0,1,0,3,0,0,0,0,3,0,0,0,0,4,0,0,1,0,0],[7,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,3,0],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,1,0,4,0,0,1,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,0,3,0,1,0,2,0,2,0,3,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,1,0,0,0,0,1,0,0,2,0,0,3,0],[0,0,0,0,0,0,3,0,5,0,1,0,0,1,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,3,0],[9,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,6,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,4,0,0,0,0,0,0,0,4,0,0,1,0],[0,0,0,0,0,0,1,0,0,0,0,1,0,4,0,0,0,3,0,0],[2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,1,0,0,0,0,3,0,1,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,4,0,0,0,0,0,1,0,1,0,1,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,1,0,2,0,2,0,4,0,0,1,0,1,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,4,0,0,3,0,0,1,0,2,0],[0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,3,0,0,1,0,1,0,2,0,3,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0],[2,0,0,2,0,3,0,0,0,1,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,6,0,0,1,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,4,0,0,0,2,0,0,3,0,0,1,0,0,0,0,0,0,0],[4,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,3,0,0,0],[0,0,0,0,0,0,0,2,0,2,0,5,0,0,0,0,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,0,0,0,0,5,0,1,0,0,0,0,2,0,3,0,0,1],[0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0],[0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0],] -- [[1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,3,0,0],[0,0,2,0,0,3,0,0,3,0,0,0,1,0,3,0,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,4,0,0,0,0,2,0,0,2,0,0],[2,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,2,0,0,1,0,0,4,0,0,0,0,4,0,0,0,0],[2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,4,0,0,0,0,0,3,0,0,0,3,0,1,0,0,0],[4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0],[0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,3,0,0,0,0],[0,0,0,2,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,1],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,0,0,6,0,0,0,0,0,1,0,0,0,0,2,0],[3,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,2,0,0,0,1,0,6,0,0,0,0,1,0,0,0,1,0],] -- [[0,0,1,0,0,3,0,0,3,0,0,0,4,0,0,2,0,0,0,2],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,5,0,0,3,0,2,0,0,1,0,0,3,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3],[0,0,0,0,0,3,0,0,0,0,6,0,0,0,0,4,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1],[0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,3,0,1,0,2,0,0,0,2,0,0,0],[0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1],[1,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,3,0,0,0,0,1,0,0,2,0,0,0,0,3,0,3],[0,1,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,1,0,0,3,0,0,0,2,0,0,0],[1,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,3,0,0,0,0],[1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2],] -- [[3,0,0,0,2,0,1,0,2,0,5,0,1,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,2,0,4,0,0,0,0,0,0,0,4,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0],[0,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,0,0],[1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,3,0,0,1,0,2,0,0,3,0,0,4,0,4],[0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,6,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,3,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2],[0,4,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,3,0,2,0,0,2,0],[4,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0],[0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2],[1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,0,4,0,1,0,4,0,0,0,0,2,0,0,2,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,7,0,0,4,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,3,0],[0,0,4,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,4,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,6,0,4,0,0,0,3,0,0,0,3,0],[1,0,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0],[0,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,4,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,4,0,2,0,3,0,0,1,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0],] -- [[3,0,2,0,2,0,0,3,0,0,1,0,3,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,3,0,0,6,0,0,0,1,0,1,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[6,0,0,0,3,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[3,0,0,4,0,0,3,0,0,1,0,3,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,4,0,0],[0,0,3,0,0,0,2,0,0,0,0,4,0,3,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,4,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,4,0],[1,0,3,0,0,0,0,0,8,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,2,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,0,0,0,1,0,0,0,2,0,2,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],] -- [[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,1,0,1,0,0,0,1,0,0,0,5,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,3,0,0],[1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0],[0,0,3,0,3,0,0,0,0,3,0,0,0,1,0,0,0,2,0,0],[2,0,0,0,0,0,3,0,0,0,0,1,0,0,0,2,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0,4,0,0,2,0,0,0,2,0,0,1],[1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,2,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0],[2,0,0,1,0,0,1,0,0,4,0,0,0,3,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[3,0,0,4,0,0,2,0,3,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,4,0,0,0,0,4,0,0,0,3,0,0,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,7,0,0,0,0,0,2,0,4,0,0,3,0,0,0,0,2,0],] -- [[1,0,1,0,5,0,0,3,0,0,0,2,0,2,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,2],[0,0,0,0,0,0,1,0,2,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[1,0,3,0,0,3,0,2,0,5,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[3,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,2,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,1,0],[10,0,3,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,1],[0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,2,0,11,0,0,0,0,1,0,0,0,6,0,1],[3,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,3,0,6,0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[4,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[3,0,0,0,2,0,2,0,0,3,0,3,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,3,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,2],[0,0,0,0,0,0,3,0,0,0,0,0,2,0,1,0,0,0,0,0],[0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,3,0,0,0,0],[2,0,3,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,2,0],[0,0,0,0,2,0,0,0,0,1,0,6,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,1,0,0,0,0,0,3,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3],[0,0,3,0,1,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,3,0,1,0,0,0,0],[2,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,2,0,4,0,0,0,0,0,0,3,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,3,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0],[0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1],] -- [[3,0,0,0,1,0,1,0,2,0,0,2,0,2,0,0,2,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,1,0,0],[0,0,0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[5,0,3,0,0,0,0,3,0,0,0,0,0,1,0,1,0,3,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,1,0,3,0,1,0,0,0],[0,0,0,2,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0],[4,0,0,0,0,0,3,0,0,3,0,3,0,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,4,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,6,0,0,0,3,0,0,1,0,0],[5,0,3,0,2,0,2,0,0,0,0,0,3,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,3,0,1,0,0,0,0,2,0,0,1,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,2,0,0,0],] -- [[6,0,1,0,2,0,1,0,1,0,1,0,3,0,1,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,7,0,0,0,0,0,2,0,0,2,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],[0,3,0,0,4,0,3,0,0,0,0,0,0,0,0,1,0,2,0,4],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0],[3,0,0,3,0,0,4,0,4,0,0,0,0,3,0,0,0,6,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,7,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,4,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[1,0,0,0,0,0,0,1,0,5,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,1,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2],[2,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,1],[0,0,0,0,0,0,4,0,0,0,3,0,2,0,1,0,0,0,0,0],[0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,2,0,2,0,0,0,2,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[0,2,0,2,0,1,0,0,0,3,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,3],[3,0,0,0,0,0,0,0,0,1,0,3,0,0,3,0,0,0,0,0],[0,0,0,4,0,5,0,2,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0,2],[0,0,0,0,0,3,0,1,0,0,0,0,1,0,1,0,0,0,0,0],[3,0,3,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,3,0,0,0],[0,4,0,2,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,1,0,1,0,3,0,3,0,0,3,0,0,0,3],] -- [[4,0,0,2,0,0,4,0,0,1,0,3,0,0,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,3,0,4,0,0,3,0,4,0,0],[3,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,0,0,0,3,0,1,0,7,0,1,0,0,0,0,0],[2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0],[0,1,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,0,1,0,0,0,4,0,0,3,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[1,0,1,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,3,0,0,3,0,0,0,1,0,3,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,3,0,0,2,0,0,0,0,7,0,0,0,1,0,0,1,0,4,0],[0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0],[1,0,3,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],] -- [[4,0,0,3,0,3,0,0,1,0,1,0,1,0,1,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,1,0,1,0,3,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,4,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[4,0,0,0,0,1,0,1,0,2,0,0,0,2,0,0,0,0,0,0],[0,0,1,0,2,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,3],[0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,3,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,2,0,0,3,0,0,0,3,0,0],[2,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,3,0,0,0,2,0,1,0,0,0,0,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,5,0,0],[5,0,2,0,0,0,4,0,0,4,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,4,0,0,0,3,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0],] -- [[1,0,2,0,2,0,1,0,1,0,2,0,3,0,4,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,1,0,4,0],[0,1,0,2,0,0,0,0,0,0,0,2,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,0],[3,0,0,0,1,0,0,0,4,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[4,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0],[0,0,0,0,2,0,0,0,0,0,0,2,0,2,0,2,0,0,0,0],[0,0,2,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,0,0,3,0,0,0,0,1,0],[0,4,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,1,0,0],[0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,4,0,0,1,0,0,0,1,0,2,0,0],[0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0,3,0],[0,3,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0],] -- 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[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[3,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0],[0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,6,0,1,0,3,0,0,0,0,1,0,0],[2,0,1,0,6,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,3,0,0,0,0],[2,0,0,2,0,2,0,0,0,2,0,0,0,0,1,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,6,0,0,3,0,0,0,0,0,0,1,0,0],[0,0,1,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,1,0],[3,0,0,1,0,3,0,0,0,0,0,1,0,0,0,0,3,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,3,0,5,0,0,3,0,0,0,0,0,0],[0,2,0,0,0,0,3,0,0,1,0,0,0,0,4,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,6,0,0,1,0,4,0,0,3,0,0,0,2,0,0,3,0,0],] -- [[2,0,4,0,0,0,0,1,0,1,0,3,0,3,0,1,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,7,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3],[2,0,0,0,0,0,0,6,0,0,2,0,3,0,1,0,0,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[1,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0],[3,0,0,0,0,3,0,6,0,0,0,0,0,0,2,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,1,0,6,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,3,0,0,0,0,1,0,3,0,7,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0],[1,0,3,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0],[1,0,0,0,0,2,0,0,0,2,0,0,0,0,3,0,0,0,0,0],[0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,2],[2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[3,0,0,0,3,0,0,0,6,0,0,8,0,0,1,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,8,0,0,0,0,1,0,0,0,0,0,0,0,5,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,3,0,4,0,0,0,0,0,0,0,2],[3,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,1,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[3,0,0,0,0,2,0,0,1,0,0,0,0,0,3,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,0,2,0,2,0],[7,0,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,6,0,0,2,0,0],[0,0,0,0,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0],[4,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0],[0,0,1,0,3,0,2,0,1,0,0,1,0,0,1,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,2,0,0,0,0,0,3,0,0,3,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0],] -- [[3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1],[0,0,0,0,4,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1],[0,0,3,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,1,0,0,0,4,0,0,0,2,0,0,0,0,3,0,1],[0,0,2,0,0,0,2,0,0,0,2,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,7,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,2,0,7,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,1,0,4,0,0,3,0,0,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,0],[2,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,0],[1,0,0,0,4,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0],[4,0,0,0,3,0,0,0,3,0,0,3,0,0,0,0,0,0,3,0],] -- [[0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,1,0,0,5,0,2,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0],[0,0,0,0,0,3,0,0,0,0,2,0,1,0,0,0,4,0,0,0],[1,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,2,0,5,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3],[0,0,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,1,0],[3,0,0,0,0,0,1,0,0,0,4,0,7,0,0,0,0,0,0,1],[0,0,2,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,3,0,0,0,0,0,0,0,0,4,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,1,0,1,0,2,0,3,0,0,0,0,0,1,0,0,5,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,2,0,0,0,3,0,4,0,3,0,1,0,1,0,0,2],] -- [[1,0,1,0,1,0,3,0,2,0,3,0,0,0,2,0,5,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,4,0,0,0,0,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,0,4,0,2,0,0,0,0],[0,0,3,0,2,0,1,0,0,0,0,0,0,0,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,5,0,0,3,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,5,0,0,7,0,2,0,0,1],[0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,3,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0],[0,0,0,0,2,0,1,0,3,0,3,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,5,0,0,0,0,0,0,0,0,0,4,0,0,0,1],[0,0,0,0,2,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,3,0],[0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,4,0,0,1,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- [[0,0,3,0,1,0,0,0,0,1,0,0,0,3,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,9,0,0,4,0,0,0,3],[0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,1],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,2],[1,0,0,2,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,8,0,0,0,1,0,2,0,0,2],[3,0,0,0,4,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,5],[0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[2,0,0,0,4,0,0,0,4,0,3,0,1,0,0,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,1,0,2,0,0],[3,0,0,0,4,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,1,0,0,0,2],[0,0,0,0,0,0,0,4,0,0,0,2,0,1,0,0,0,1,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1],] -- 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[[2,0,3,0,0,0,1,0,3,0,0,2,0,4,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,3,0,0,1,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,2,0,3,0,1,0,0,0,1,0,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,0,1,0,2,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,1,0],[0,0,0,1,0,3,0,0,3,0,0,0,0,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,3,0,3,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,4,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[0,0,5,0,0,3,0,0,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,3,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,4,0,3,0,0,0,0,1,0,1,0,3,0,2,0,0,0,0],[2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],] -- [[4,0,2,0,1,0,2,0,0,3,0,0,3,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,3,0,4,0,3,0,4,0,1,0,1,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[15,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,4,0,2,0,0,0,0,1,0,4,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,3,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2],[0,2,0,0,0,0,2,0,0,3,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,3,0,0,1,0,1,0,1,0],[0,0,1,0,0,0,0,2,0,1,0,0,0,2,0,4,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,2,0,0,0,0,2,0,2,0,0,0,3,0,0],[2,0,6,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],] -- [[6,0,0,0,2,0,0,5,0,0,2,0,6,0,0,0,4,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,3,0],[0,0,0,0,1,0,3,0,1,0,0,0,0,2,0,0,0,0,0,0],[2,0,8,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,3,0,3,0,3,0,4,0,0,1],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,2,0,0],[0,1,0,0,0,2,0,3,0,3,0,0,0,1,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,2,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0],[2,0,1,0,3,0,3,0,0,0,0,5,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0],[0,4,0,0,0,0,0,0,3,0,0,0,0,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],] -- 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[[1,0,2,0,0,3,0,0,2,0,1,0,1,0,4,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,1,0,0,0,0,0,1,0,2,0,2,0,0,2,0,0,0],[0,0,0,0,1,0,1,0,4,0,0,0,0,0,0,1,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,3,0,0,0],[3,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0],[1,0,3,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2],[0,0,0,0,3,0,0,2,0,0,0,0,3,0,0,1,0,3,0,0],[0,0,2,0,0,0,0,0,0,6,0,0,0,0,4,0,0,0,0,0],[3,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,9,0,0,0],[0,4,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,2,0,0,0,0,0,3,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0],[0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,1],[0,0,0,0,0,0,3,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,3,0,0,0,0,0,0,3,0,2,0,0,0,3,0,0,0,0,3],[0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[2,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,5,0,4,0,0,0,0,2,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4],[2,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0],[0,1,0,0,0,0,4,0,0,0,2,0,0,0,0,0,1,0,0,0],[0,0,0,0,4,0,0,0,0,1,0,1,0,0,3,0,0,0,0,0],[1,0,0,3,0,1,0,0,3,0,0,0,0,1,0,0,0,3,0,7],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,0,3,0,2,0,2,0,0,2,0,1,0,0,2],] -- [[3,0,0,0,1,0,1,0,2,0,2,0,2,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,4,0,0,0,0,0,0,1,0,6,0,0,4,0],[0,4,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3],[0,0,2,0,0,0,0,0,1,0,0,1,0,3,0,0,0,0,0,0],[8,0,0,0,1,0,2,0,0,2,0,0,0,0,0,0,5,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,2,0,4,0,4,0,0,0,1,0,0,1,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,1,0,0,10,0,0,2,0,0],[0,0,0,8,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,2],[0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,3,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2],[0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],] -- 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[[2,0,0,2,0,0,1,0,4,0,1,0,4,0,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,4,0,0,0,1,0,1,0,0,0,0,1,0,4],[0,0,0,3,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,2,0,0,0,0,0,0,0,1,0],[4,0,0,0,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,3],[0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,4,0,0,2],[0,2,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3],[3,0,0,2,0,0,0,0,0,0,0,6,0,0,2,0,0,0,0,0],[0,0,4,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1],] -- 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[[3,0,0,0,1,0,2,0,0,3,0,0,0,4,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,3,0,0,0,3,0,0,0,0,1,0,2,0,0],[0,6,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,2,0,3,0,1,0,0,0],[2,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,3,0,3,0,0,5,0,1,0,2,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,1,0,1,0,0],[1,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0],[1,0,4,0,0,6,0,0,8,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,3],[0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0],[0,0,0,3,0,3,0,0,2,0,0,2,0,0,2,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0],[1,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,1,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0],[0,2,0,1,0,0,0,0,0,3,0,0,4,0,0,0,0,7,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,0,4,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,3,0,0,0,2,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,4,0,2,0,0,0,0,0,0,1,0,0],[2,0,0,3,0,0,5,0,0,0,0,0,0,3,0,1,0,0,1,0],[0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,2,0,0],[1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2],[0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,2,0,1],[0,4,0,0,0,0,0,2,0,0,0,2,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0],[0,0,2,0,0,0,0,10,0,0,4,0,1,0,0,3,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,2,0,2,0,1,0,1,0,0,2,0,0,2],] -- [[2,0,6,0,2,0,0,8,0,0,0,3,0,0,3,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,3,0,0,0,0,0,3,0,2,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,4,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,0,3,0,3,0,0,0,4,0,0,0,0,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0],[8,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,4,0,0],[0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,4,0,1,0,1,0,4,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,5,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2],[7,0,0,0,0,0,0,3,0,0,3,0,4,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,2,0,2,0,2,0,0,0,0,0,3,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- 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[[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,1],[0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,1],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,2,0,6,0,0,0,0,0,2,0,0,0,0,3,0,0],[1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,7,0,0,0,0,0,6,0,0,0,2,0,0,1],[0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,3,0,2,0,0,0,2,0,1],[0,0,0,0,0,4,0,1,0,0,0,0,1,0,0,0,3,0,0,0],[0,0,0,4,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,1],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,1],[0,2,0,2,0,0,0,0,2,0,0,5,0,0,0,0,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,4,0,0,3,0,0,0,3,0,0,2,0,1,0,0,2],[0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,0,2,0,0,0,1,0,0,2,0,0,1,0,0,2],] -- 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[[2,0,2,0,3,0,0,1,0,1,0,1,0,2,0,2,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,1,0,3,0,1,0,0,0,0,0,8,0,0,0],[1,0,1,0,2,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,5,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,4,0,0,1,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0],[3,0,0,0,0,2,0,0,0,0,4,0,1,0,2,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,2,0,0,3,0,0,0,1,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0],[9,0,0,0,0,0,1,0,0,0,2,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,2,0,0,0],[0,0,0,0,0,1,0,0,0,3,0,3,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0],[0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,2,0,0,1,0,4,0,0,3,0,0,0,0],] -- 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[[7,0,1,0,1,0,3,0,0,4,0,4,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,3,0,0,0,0,0,1,0,4,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,4,0,0],[5,0,0,1,0,2,0,0,0,0,0,0,0,0,3,0,2,0,0,0],[0,0,0,0,7,0,0,8,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,1,0,2],[0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,4,0,0,2],[0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,1,0],[0,0,0,0,2,0,0,0,2,0,0,1,0,2,0,0,0,3,0,0],[0,0,0,0,0,0,0,5,0,0,7,0,0,0,0,0,0,0,0,2],[2,0,3,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],] -- [[0,3,0,3,0,2,0,0,1,0,2,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,1,0,1,0,2,0,0,2,0,2,0],[4,0,0,0,0,0,0,0,1,0,1,0,5,0,0,0,0,0,0,0],[0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,3,0,0,0,3,0,0,3,0],[0,1,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,1],[3,0,0,0,4,0,0,0,0,3,0,1,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,1,0,3,0,0,2,0,1,0,1,0,3,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0],[2,0,0,3,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,5,0,4,0,0,0,0,0,1,0,3,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,2,0],] -- [[0,0,0,1,0,2,0,0,0,4,0,0,0,0,1,0,4,0,0,1],[3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,2,0,0,2,0,2,0,0,0,4,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,7,0,0,0,2,0,0,0,2,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,3,0,0,0,0],[3,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,1,0,3,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,1,0,0],[0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,2,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,2,0,0,0,3,0,8,0,0,1,0,0,0],[3,0,0,6,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0],[4,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,2,0,4,0,2,0,0,3,0,0,1,0,1,0,3,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,2,0,2,0,1,0,2,0,0,0,0,2,0],[0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,1,0,2,0,0,1,0,0,0,0,0,4,0,0,1,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0],[4,0,0,0,3,0,0,0,0,4,0,0,2,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[3,0,0,4,0,0,2,0,2,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,4,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2],[0,4,0,0,3,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,3,0,3,0,0,3,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,2,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,3,0,0,0,2,0,3,0,0,2,0,0],[0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,2,0],[1,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,3,0],[0,0,3,0,1,0,0,0,0,0,0,1,0,0,2,0,2,0,0,0],[2,0,0,0,0,7,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,1,0,4,0,0,0,0,0],[0,0,5,0,0,0,0,5,0,0,0,0,0,1,0,0,0,5,0,0],[2,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0],[0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,0,0,2,0,0,0,2,0,0,0,0,2,0,0,0,0,0,2],[0,0,0,0,0,0,0,1,0,7,0,0,0,0,0,3,0,0,1,0],[1,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,1,0,1,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,4,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,0,6,0,0,1,0,0,0,0,0,1,0],[1,0,2,0,2,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0],] -- 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[[2,0,1,0,3,0,0,0,1,0,2,0,4,0,0,0,3,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,2,0,1,0,0,0,2,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,2,0,0],[5,0,1,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,1,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0],[0,0,4,0,0,3,0,0,1,0,2,0,0,0,0,3,0,1,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,3,0,1,0,0,0,3,0,0],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,6,0,4,0,0,0,0,0,0,0,3,0,0,2],[0,7,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0],[0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[0,0,0,2,0,0,1,0,2,0,0,2,0,0,4,0,0,0,4,0],[0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],] -- 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[[1,0,4,0,0,1,0,1,0,1,0,2,0,1,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,1,0,3,0,0,2,0,0,3,0,0,2,0,1,0,4],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,3,0,0,0,1,0,3,0,0,0],[2,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,1,0,0,0,3,0,1,0,0,0],[0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,1],[0,0,1,0,3,0,0,0,0,2,0,3,0,2,0,0,0,0,0,0],[3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,1,0,0,1,0,4,0,0,4,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0],[2,0,0,0,7,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0],[0,0,4,0,0,0,1,0,0,1,0,0,0,0,5,0,0,5,0,0],[3,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[1,0,0,0,0,0,8,0,0,1,0,0,0,4,0,2,0,1,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,1,0,0,3,0,0,0,5,0,0,2,0,1],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,2],[1,0,0,4,0,0,2,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,1,0,0],[1,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,2],[0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,3,0,3,0,0],[1,0,2,0,0,0,4,0,2,0,0,0,2,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,1,0,0,0,0,0,1,0,3,0,0,2,0,3],[0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,3,0,0,3],[0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,3,0,0,0,3,0,0,0,3,0,0,0,1,0,3,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,3,0,1,0,0,0,0,0,2],[0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,3],] -- [[2,0,0,4,0,0,0,0,1,0,2,0,0,1,0,3,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,2,0,4,0,0,0,1,0,2,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0],[0,0,1,0,2,0,0,0,0,0,2,0,4,0,0,0,0,0,0,1],[5,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,1,0,0],[0,0,0,0,0,3,0,0,2,0,0,2,0,4,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[4,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0],[4,0,0,3,0,0,0,0,4,0,1,0,0,0,2,0,1,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,4,0,1,0,0,0,0],[3,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,1,0,5,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0],[2,0,0,0,3,0,0,0,0,1,0,0,2,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,5,0,0,2,0,1,0,3,0,1,0,2,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,6,0,0,0,0,2,0,3,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0],[0,0,0,3,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,1,0,3,0,0,0,1,0,0,0,4,0,0,0,1,0,0,0],[2,0,0,0,0,0,1,0,0,4,0,0,0,0,0,2,0,1,0,2],[0,0,3,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0],[0,4,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,4,0,2,0,0,0,5,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,4,0,4,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,3],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,1,0,3,0,0,2,0,0,0,0,0,3,0,0],[1,0,3,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0],] -- 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[[3,0,7,0,1,0,1,0,2,0,0,1,0,2,0,1,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,2,0,0,2,0,0,1,0,4,0,0,0,0,3],[0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,1,0,2,0,1,0,1,0,0,0,1,0,2],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[0,0,0,0,3,0,0,2,0,0,2,0,0,0,0,0,1,0,1,0],[3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,3,0,0,0,0,0,1,0,1,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,2,0,4,0],[0,5,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0],[2,0,0,0,0,2,0,2,0,0,0,1,0,0,0,0,3,0,3,0],[0,0,2,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,3,0,0],[0,0,2,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0],] -- [[1,0,1,0,0,0,0,2,0,0,0,3,0,1,0,1,0,3,0,0],[0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,3,0],[2,0,0,0,1,0,0,0,0,3,0,0,0,2,0,0,2,0,0,0],[0,0,1,0,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,1],[1,0,1,0,0,2,0,0,3,0,3,0,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[3,0,2,0,0,2,0,0,0,0,0,0,0,0,3,0,1,0,0,0],[0,0,0,0,3,0,0,6,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2],[0,0,2,0,0,0,1,0,0,0,0,7,0,0,0,1,0,0,0,0],[7,0,0,0,4,0,0,5,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0],[1,0,0,0,0,0,0,0,6,0,0,0,1,0,0,0,0,0,1,0],[0,0,1,0,2,0,0,1,0,0,0,0,0,6,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,3,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],] -- [[7,0,0,0,1,0,4,0,0,0,0,3,0,0,3,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,10,0,0,2,0,0,2,0,1,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,2,0,2,0,0,0,1,0,0,2],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[1,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,3,0,2,0,0,0,0,0,0,0,2,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,3,0,1,0,1,0,0,1,0,3],[1,0,1,0,0,3,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0],[2,0,0,0,0,3,0,0,1,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,2,0,0],[2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1],[0,0,3,0,1,0,6,0,2,0,0,0,0,0,1,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],] -- [[3,0,4,0,3,0,0,2,0,0,3,0,1,0,5,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,1,0,0,5,0,0,0,2,0],[3,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,1,0],[0,0,0,0,2,0,1,0,3,0,3,0,0,0,0,0,0,1,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0],[0,0,0,0,0,4,0,0,0,0,0,4,0,0,0,0,3,0,0,0],[1,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,4,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0],[2,0,0,1,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,1,0,0,3,0,0,0,0,0,2,0,0,0,0,3,0,2,0],[0,0,0,2,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,2,0],[0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],] -- [[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,2,0,0,0,1,0,0,0,0,0,2],[3,0,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,7,0,0],[0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0],[0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,3,0,0,0,2,0,2,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,2,0,0,0,6],[1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,2,0,1,0,1,0,3,0,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,3,0,1,0,0,3,0,0,0,0,0,0,0,1,0,0,0,1],[1,0,0,0,0,0,0,0,1,0,2,0,2,0,1,0,0,4,0,0],[0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,2,0,0,0],[0,0,1,0,0,3,0,0,1,0,0,2,0,3,0,1,0,1,0,8],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,3,0,2,0,1,0,1,0,1,0,0,3,0,0,0,3],] -- [[2,0,0,1,0,3,0,1,0,1,0,3,0,0,6,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,0,0,0,0,0,3,0,4,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,6,0,1,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0],[0,0,0,0,0,3,0,0,1,0,4,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,4,0,0,1,0,3,0,0,0,0,0,0,0,0,4],[0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0],[0,0,5,0,4,0,2,0,0,3,0,2,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0],[0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,4,0,0,0,0],[2,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,0,0,0,0,0,0,2,0,0,4,0,0,3,0,0,0,0,0,0],[1,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,3,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[2,0,0,3,0,3,0,1,0,3,0,0,0,4,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,3,0,4,0,0],[3,0,1,0,4,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0],[0,0,2,0,0,0,0,3,0,3,0,0,5,0,0,0,0,3,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,4,0,0],[5,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,3,0,0,3,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0],[0,0,0,0,0,1,0,4,0,0,2,0,1,0,0,0,0,0,3,0],[3,0,3,0,3,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0],] -- 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[[2,0,0,1,0,2,0,0,3,0,0,1,0,4,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,0,0,1,0,2,0,0,0,6,0,0,0,4,0,0,1,0,1],[0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,3,0,0,2,0,0,0,1,0,0,0,4,0,0],[3,0,3,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,3],[0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,6,0,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0,0,2,0,7,0,0,3,0,0,1,0,2],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,7,0,0,0],[0,0,1,0,2,0,0,0,1,0,0,0,2,0,3,0,0,0,0,1],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,1,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,1,0,0,0,0],[2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0],] -- [[4,0,1,0,2,0,0,2,0,0,2,0,0,4,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,1,0,3,0,4,0,0,0,0,1,0,2,0,3],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,2,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,2,0,0,0,0,2],[2,0,2,0,0,0,0,0,2,0,0,8,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,3,0,0],[0,0,12,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0],[0,0,4,0,0,0,0,0,2,0,1,0,4,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,3,0,1,0],[3,0,0,0,0,3,0,3,0,0,2,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,3,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,2,0,0,6,0,1,0,1,0,8,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,2,0,3,0,0,0,0,3,0,1,0,0,0],[7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,1],[3,0,3,0,0,0,3,0,0,0,1,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,3,0,3,0,2,0,0,0,3,0,0,0,1],[0,1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,2,0],[6,0,2,0,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0],] -- [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2],[0,1,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,4,0,3,0,2],[2,0,0,0,0,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,9,0,1,0,0,0,0,0,0,0,1],[0,2,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,3,0,0],[0,0,0,0,3,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0],[1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,5,0,0,1],[0,1,0,0,0,3,0,3,0,0,0,5,0,0,0,0,0,1,0,0],[0,0,0,4,0,0,1,0,0,0,1,0,0,3,0,1,0,0,1,0],[0,0,0,0,1,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2],[3,0,1,0,0,0,0,0,0,2,0,0,0,0,3,0,0,4,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,1,0,0,4,0,0,3,0,3,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,1,0,1,0,0,3,0,1,0,0,2,0,0,2,0,0,2],] -- [[0,0,1,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,1,0,2,0,3,0,3,0,0,0,1,0,0,0,0,0,2,0],[3,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[1,0,2,0,0,0,0,6,0,0,0,0,2,0,0,0,0,3,0,0],[0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0],[3,0,0,0,3,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,5,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0],[0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0],[0,0,0,3,0,3,0,0,0,0,0,0,0,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,4,0,0,2,0,0,1,0,0,0,0,0],[3,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,0,4,0,0,0,0,0,2,0,0,3],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,1,0,1,0,0,0,0,4,0,0,0,2,0,3,0,0],] -- [[1,0,1,0,2,0,0,3,0,0,3,0,0,2,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,3,0,0,0],[1,0,0,1,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,2],[0,3,0,0,0,0,0,0,2,0,1,0,0,1,0,0,3,0,0,0],[0,0,0,0,3,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,2,0,3,0,0,0,3,0,0,3,0,1,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,2,0,3,0,0,0,0,4,0],[6,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,2,0,0,0],[0,0,0,3,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,10,0,1,0,0,4,0,0,0,1],[2,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[3,0,3,0,0,0,0,0,1,0,0,0,0,0,2,0,0,5,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,1,0,1,0,2,0,0,3,0,0,1,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,2,0,2,0,2,0,1,0,1,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,0,2,0,4,0,1,0,1,0,0,0,0,2,0,0,4,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,1],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,6,0,0,1,0],[0,0,2,0,0,0,1,0,2,0,0,6,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,4],[1,0,0,0,0,0,2,0,0,3,0,0,0,0,3,0,0,0,0,0],[0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,4,0,0,0,6,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[4,0,0,0,0,3,0,0,1,0,0,0,0,2,0,0,3,0,0,0],[0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0],] -- 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[[7,0,0,0,2,0,0,3,0,0,0,2,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,0,3,0,2,0,0,3,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,1,0,0,0,0,4,0,1,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0],[4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,3,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,3],[3,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0],[0,3,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,4],[0,0,0,0,2,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,8,0,0,0,0],[0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,2,0,0,6,0,1,0,2,0,0,0,5,0,0],[3,0,3,0,0,4,0,0,0,0,0,0,1,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,3,0,2,0,1,0,1,0,2,0,0,1,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,2,0,0,1,0,2,0,0,2,0,0,0,4],[0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,0,0,2,0,0,0,4,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,4,0,5,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,3,0,0,4,0,0,0,3,0],[0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0],[5,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0],[0,0,5,0,4,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,4],[3,0,0,0,0,0,1,0,0,0,1,0,2,0,2,0,1,0,0,0],[0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,3,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0],] -- [[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,2,0,1,0,0,0,5,0,6,0,0,0,0],[5,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,2,0,0,2,0,3,0,0,4,0,0,1,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,2,0,0,2,0,0,0,4,0,0,4,0,0,2,0,0,0,0],[3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,0,3,0,0,0,0,2,0,0,0,4,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,2],[1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,1,0,0,2,0,3,0,0,7,0,0,0,1],[0,0,0,4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,2,0,0,0,0,2,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,3,0,0,0,1,0,1,0,2,0,0,1,0,2,0],] -- [[2,0,4,0,1,0,3,0,2,0,0,1,0,4,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,1,0,3,0,0,0,0,2,0,0,4,0],[1,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,1,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,6,0,0,6,0,0,0,0,0,3,0,0,0],[7,0,1,0,2,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,1,0,2,0,0,2,0,2,0,3,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,3,0,3,0,1,0,0,0,0,0,0],[4,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1],[0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,3,0,0,2,0],[0,0,0,3,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[1,0,2,0,0,3,0,0,0,2,0,3,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,3,0,0,0,1,0,3,0,1,0],[0,0,1,0,0,5,0,0,3,0,0,0,0,0,0,0,0,0,0,2],[3,0,0,1,0,0,0,0,0,0,1,0,3,0,0,2,0,0,0,0],[0,0,3,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,5,0,1,0],[0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,2],[0,0,1,0,0,0,1,0,0,0,6,0,0,3,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,1,0,0,0,2,0,0,1,0,0,0,0,3,0,0,0,0,0,4],[0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,2,0,3,0,0,0,1,0,2,0,3,0,3,0,0,0,0],[2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0],[1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0],] -- [[2,0,3,0,0,2,0,1,0,3,0,0,0,1,0,2,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,0],[3,0,0,0,3,0,0,3,0,0,0,0,0,0,1,0,2,0,1,0],[0,0,0,0,0,0,3,0,0,3,0,0,1,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0],[0,0,3,0,0,1,0,5,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,0,0,0,0,0,2,0,0,2,0,0,3],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[2,0,0,1,0,3,0,0,3,0,0,0,0,0,2,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,2,0,0,0,0,2,0,3,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,1,0,0,0,0,0,4,0,0,4,0,0,0,0,1,0,0],[0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,3,0,0,0,5,0,0,3,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[4,0,0,0,3,0,4,0,0,3,0,1,0,3,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0],[0,0,0,0,3,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1],[0,4,0,5,0,0,1,0,0,0,0,0,0,3,0,1,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0],[4,0,0,0,0,2,0,0,0,0,2,0,12,0,0,0,3,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,1],[3,0,4,0,0,2,0,1,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,4,0,4,0,0,2,0,0,0,0,0,0,0,0],[0,3,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,2,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1],] -- 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[[1,0,3,0,0,1,0,3,0,0,0,2,0,0,2,0,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,3,0,2,0,2,0,0,2,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,4,0,0,0],[0,2,0,2,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,2],[0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,3,0,0,0],[7,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3],[0,0,0,0,0,2,0,0,4,0,0,3,0,0,1,0,0,0,0,0],[2,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,4,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,4,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,0,3,0,10,0,0,3,0],[0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,1,0],[0,0,2,0,3,0,0,0,0,0,1,0,1,0,4,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,0,0,3,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,4,0,3,0,0,0,0,0,0,0],[2,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,8,0,0,0,0],[4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,3,0,0,0,0,3,0,1,0,0,0,0,3,0,0,3,0,1],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,2,0,6,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,4],[0,0,0,0,0,3,0,0,0,4,0,0,2,0,1,0,0,0,0,0],[0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,2,0,1,0,3,0,0,4,0,4,0,0,4,0,1,0,4],] -- [[1,0,2,0,2,0,4,0,0,1,0,1,0,2,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,0,0,6,0,0,0,0,0,0,2,0,2,0],[0,2,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,2],[0,0,2,0,2,0,0,0,2,0,2,0,0,0,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,3,0,1,0,0,0,0,1,0,3,0,0,2,0,0,1,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4],[2,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0],[0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,0,6,0,0,0],[0,6,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,3,0,0,1,0],[0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0],[0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,0,2,0,0,0,0,1,0,2,0,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0],] -- [[0,0,3,0,2,0,0,0,4,0,1,0,0,0,1,0,1,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,5,0,0,0],[0,1,0,0,2,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,3],[0,0,0,3,0,0,2,0,0,0,0,3,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,1,0,0],[0,2,0,0,0,3,0,0,0,1,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,1],[0,0,0,0,5,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,2,0,2],[0,0,0,0,2,0,0,0,0,2,0,0,2,0,1,0,0,0,0,0],[2,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0],[0,0,0,0,0,2,0,0,0,1,0,0,3,0,0,2,0,0,0,2],[0,0,0,6,0,0,0,0,3,0,0,0,0,2,0,0,0,3,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,1,0,2,0,0,2,0,0,0,0,1,0,0,0,0,0,6],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[1,0,0,2,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,1],] -- [[0,0,0,3,0,3,0,1,0,3,0,0,4,0,3,0,0,1,0,1],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,3,0,1,0],[6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,3,0,3,0,0,0,1,0,3,0,0,1,0],[0,0,0,0,6,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,0,0,4,0,0,0,1,0,1],[2,0,0,0,0,0,4,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,3,0],[0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,2,0,0,0,0,2,0,0,2,0,0,0,0,3,0,0],[4,0,2,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,2,0,0,4,0,0,3,0,0,1,0,0,0,0,0,0,3],[0,0,4,0,0,0,0,0,0,0,0,4,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,1,0,0,0,0,0,0,3,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0],[1,0,4,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1],] -- [[1,0,1,0,4,0,0,0,0,2,0,3,0,1,0,3,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0],[0,2,0,2,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,2,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,1,0,0],[1,0,5,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[4,0,0,0,0,3,0,3,0,0,4,0,2,0,0,3,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,1,0,2],[4,0,1,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,3,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,1,0,1],[2,0,6,0,0,0,0,0,0,0,1,0,0,0,1,0,3,0,0,0],[0,0,0,0,2,0,1,0,0,0,0,2,0,3,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0],] -- 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[[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,3,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[4,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,3,0,0,0,4,0,2,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,5],[0,0,0,0,3,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,2,0,0,0,0],[0,3,0,1,0,0,0,0,4,0,0,0,1,0,0,0,0,0,3,0],[0,0,0,0,0,0,2,0,0,0,4,0,0,1,0,0,0,0,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,3],[0,1,0,1,0,0,7,0,0,6,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,1,0,1,0,0,0,0,4,0,1,0,0,3,0,0,0,5,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,2,0,1,0,0,2,0,1,0,0,3,0,2,0,1,0,2],] -- [[4,0,0,2,0,0,1,0,4,0,0,0,0,2,0,2,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,1,0,4,0,0,0,2,0,0,0,3,0,0,1],[4,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,3,0,0,1,0,0,0,1,0,3,0,0,0,0,0,0,1,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0],[0,0,0,0,0,0,3,0,4,0,0,0,0,0,0,0,0,0,0,2],[0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,2,0,0,1,0,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0],[5,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0],[1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[2,0,0,0,0,2,0,0,0,1,0,3,0,0,0,0,0,0,3,0],[0,0,4,0,1,0,0,2,0,0,0,0,0,0,5,0,0,0,0,0],[3,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1],] -- [[2,0,0,1,0,1,0,1,0,1,0,4,0,0,0,3,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,0,3,0,0,0,2,0,0,2,0,0,0,0,0,0,1],[0,0,0,0,3,0,0,0,4,0,0,0,0,0,3,0,4,0,0,0],[0,0,3,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,4,0,0],[4,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,3,0,3,0,0,0,0,0,0],[5,0,3,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,5,0,1,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0],[3,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,1,0,3,0],[0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],] -- [[6,0,1,0,3,0,0,0,2,0,2,0,1,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,1,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,2,0,5,0,0,3,0,1,0,0,0,0],[4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0],[0,0,2,0,0,2,0,3,0,1,0,0,0,0,0,0,0,1,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0],[0,0,2,0,4,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,1,0,0,0],[2,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1],[0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0],[1,0,0,0,2,0,3,0,1,0,2,0,0,2,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0],[2,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,2],[0,1,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- [[2,0,0,1,0,2,0,2,0,3,0,3,0,0,3,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,0,0,0,0,0,1,0,4,0,0,6,0,2,0],[0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,1,0,0,0,0,2,0,4,0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1],[0,1,0,0,0,3,0,0,4,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0],[0,5,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,2,0,2,0,0],[3,0,3,0,0,3,0,0,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,2,0,2,0,0,2,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0],[0,1,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,5,0],[0,0,2,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0],[3,0,0,0,3,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,4,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,3,0,4,0,0,4,0,0,0,0,1,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,0,0,0,2,0,3,0,2,0,0,0,0,0],[0,0,0,1,0,3,0,3,0,0,0,0,0,0,0,0,0,2,0,2],[0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,10,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0],[0,3,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0],[5,0,0,4,0,0,9,0,0,0,0,0,1,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,6,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1],[0,0,0,0,0,1,0,0,7,0,0,3,0,0,3,0,7,0,0,0],[3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],[0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,3,0,1,0,0,2,0,0,0,0,0],[0,0,0,5,0,4,0,3,0,0,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,7],[0,0,0,0,3,0,2,0,0,0,0,2,0,0,2,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,7,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,1,0,0,1],[4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,5,0,2,0,0,0,0,3,0,0,0,5,0,2,0,0],[0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,3],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0],[2,0,0,4,0,0,0,0,0,0,3,0,2,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,6,0,2,0,1,0,1,0,1,0,1,0,2,0,1],] -- [[2,0,0,2,0,1,0,2,0,0,4,0,0,4,0,0,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,0,2,0,3,0,0,0,2,0,0,0,0,3,0,0,4,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,3,0,3,0,0,1,0,5,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0],[0,0,2,0,0,1,0,0,3,0,2,0,0,0,0,0,2,0,0,4],[3,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0],[0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,1,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,0,0,1,0,2,0,0,0,2,0,0,2,0,1],[1,0,0,0,0,0,0,4,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0],[4,0,1,0,7,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0],[0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1],] -- [[0,0,1,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,3,0,0,2,0,0,0,3,0,0,2,0,0,2,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[3,0,0,0,0,0,0,0,3,0,4,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0],[0,0,2,0,0,0,3,0,3,0,0,0,0,0,1,0,0,0,0,0],[2,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0],[0,0,1,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,2,0],[1,0,0,2,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[1,0,0,0,0,0,3,0,0,4,0,0,0,0,0,3,0,0,0,2],[0,0,1,0,4,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0],[0,0,2,0,0,1,0,3,0,0,0,0,2,0,0,3,0,1,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1],[0,0,1,0,3,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,1,0,3,0,0,4,0,0,2,0,0,1,0,2,0],] -- [[2,0,0,1,0,1,0,2,0,1,0,3,0,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,4,0,0,3,0,0,0,1,0,3,0,0,3,0],[0,0,0,3,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,4,0,0],[1,0,3,0,0,0,1,0,0,3,0,0,3,0,4,0,0,0,0,1],[0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,5,0,0,0,0,0,0,0,0,5,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0],[0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,0,1,0,0,2,0,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[1,0,3,0,3,0,0,0,6,0,0,0,2,0,2,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3],[1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,3,0,0],[1,0,3,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0],] -- [[0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,3,0,2,0,4],[0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,7,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,3],[0,0,0,0,1,0,2,0,0,0,4,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2],[0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,1,0,0,0,0,0,6,0,2,0,0,2,0,0,0,0,3],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,4,0,2,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,3,0,3,0,0,2,0,0,3,0,1,0,1,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0],[0,0,0,0,0,3,0,0,0,0,5,0,0,0,0,0,0,0,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,2,0,1,0,0,0,0,2,0,1,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,0,2],] -- [[4,0,3,0,0,2,0,3,0,2,0,1,0,2,0,4,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,2,0,2,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0],[2,0,0,8,0,0,0,0,0,0,0,3,0,0,6,0,0,0,0,0],[0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0],[1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,1],[0,0,3,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0],[4,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,2,0,0],[0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,2,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0],[0,0,1,0,0,0,3,0,0,2,0,3,0,0,0,0,2,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,6,0],[0,1,0,2,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,1,0,2],[1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,2,0,1,0,2,0,3,0,0,3,0,0,1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[5,0,0,1,0,3,0,0,2,0,3,0,0,3,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,4,0,0,4,0,1,0,0,2,0,0,0,0,1],[2,0,0,1,0,4,0,0,0,0,0,0,5,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,2],[1,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0],[5,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,2,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,4,0,0],[3,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,2,0,6,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0],[3,0,0,2,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,5,0,3,0,0,0,4,0,4,0,0,1,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,1,0,1,0,0],[6,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0],[0,0,0,0,2,0,0,0,0,2,0,3,0,4,0,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[3,0,3,0,0,6,0,0,3,0,0,0,4,0,0,3,0,4,0,1],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,0,0,0,1,0,1,0,3,0,1,0,4],[0,0,0,0,0,0,0,5,0,0,1,0,2,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0],[0,0,0,0,2,0,0,0,0,0,3,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,0,0,3,0,0,0,0,0,0,3,0,0,0,1,0],[0,0,0,0,4,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0],[0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0],] -- [[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,6,0,0,0],[0,0,0,3,0,1,0,0,0,3,0,0,0,0,3,0,0,0,0,2],[0,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,1,0,0,5],[0,0,3,0,0,0,4,0,0,0,2,0,3,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,4,0,1,0,0,0,0,1,0,0,0,1,0,0,3,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,2,0,0,0,0,0,0,3,0,0,4,0,0,0,7,0,0,0,2],[0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1],[0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0],[0,0,5,0,0,0,4,0,0,0,0,2,0,3,0,0,0,2,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,2],[1,0,1,0,0,0,0,3,0,0,0,0,2,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,3,0,0,0],[0,2,0,2,0,0,0,2,0,0,0,0,2,0,0,0,0,1,0,2],] -- [[3,0,1,0,1,0,2,0,3,0,1,0,1,0,1,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,3,0,0,0,0,0,2,0,1,0,1,0,3,0,0,0],[0,3,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,2],[0,0,0,0,1,0,0,0,0,4,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,2,0,0,0],[1,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0],[0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,3],[0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0],[2,0,0,3,0,0,0,1,0,1,0,3,0,0,0,0,0,0,2,0],[0,0,2,0,0,0,3,0,6,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,4,0,0,3,0,0,0,3,0,1,0,1,0,0],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,1,0],[0,0,0,1,0,3,0,0,0,4,0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,5,0,0,0,0,2,0,1,0,0,3,0,0,4,0,0,0,3],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,5,0,0,1,0,0,0,0,2,0,1],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,0,0,1],[1,0,0,0,3,0,0,3,0,3,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2],[0,0,4,0,0,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,3,0,0,0,0,0,4,0,0,4,0,1,0,0,0],[0,0,3,0,0,0,3,0,0,0,0,0,1,0,0,0,0,1,0,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,2,0,1],[1,0,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,4,0,2,0,3,0,0,2,0,1],[0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,1,0,0,0,3,0,2,0,0,1,0,0,1],[0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0],[0,0,0,3,0,0,0,4,0,0,0,0,4,0,0,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],] -- [[1,0,1,0,3,0,2,0,0,3,0,0,3,0,0,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,1,0,0,0,3,0,0,0,0,2,0,2,0,0,4,0,0,0],[0,0,0,3,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1],[0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,4,0,0,0],[0,0,0,0,3,0,0,0,3,0,0,1,0,2,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,3,0,0,0,5,0,0,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,5,0,0],[2,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0],[6,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0],[0,0,3,0,0,0,2,0,0,2,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,1,0,4,0,0],[0,0,1,0,7,0,5,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1],] -- [[1,0,1,0,1,0,1,0,3,0,0,0,1,0,1,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,2,0,4,0,1,0,2,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1],[5,0,0,3,0,0,0,0,0,0,0,2,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,2,0,7,0,2,0,4,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[3,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,1,0,2,0,6,0,0,0,0,1,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,4,0,0,0,0],[7,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0],[0,0,0,0,0,0,3,0,0,0,3,0,0,3,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,1,0,0,0,3,0,0,0,2,0,0,2],[2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0],] -- [[1,0,3,0,0,0,2,0,1,0,1,0,3,0,3,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,3,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,0,3,0,1,0,0,0,6,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,3,0],[3,0,0,2,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,3,0,0,2,0,0,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[1,0,0,0,0,0,1,0,0,0,0,3,0,0,0,4,0,0,0,0],[0,1,0,0,0,0,0,6,0,0,4,0,0,0,1,0,0,0,3,0],[0,0,6,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,2,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[2,0,0,0,0,3,0,3,0,0,0,5,0,0,0,0,0,0,1,0],[0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[4,0,0,3,0,0,2,0,2,0,2,0,1,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[3,0,0,3,0,3,0,3,0,2,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,3,0],[8,0,1,0,3,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,5,0,0],[0,0,2,0,0,0,2,0,0,0,0,7,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0],[0,0,0,4,0,0,0,3,0,0,0,2,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,1,0,0,0,0,1,0,0,4,0,0,0,0,0,1,0],[2,0,0,0,0,6,0,0,1,0,3,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,4,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,2,0,9,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1],] -- [[3,0,6,0,0,0,2,0,0,0,4,0,0,3,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,2,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,2,0,0],[0,0,1,0,3,0,2,0,1,0,0,0,4,0,2,0,0,0,0,2],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,3,0,1,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,2,0],[4,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0],[0,0,0,2,0,0,0,3,0,3,0,0,0,0,0,0,3,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,1],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,1,0,0,7,0,0,0,2,0,0],[0,0,4,0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,2,0],[0,0,4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,0,0,0,0,3,0,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,1,0,3,0,0,0,0,0],] -- [[0,3,0,3,0,3,0,0,3,0,2,0,1,0,1,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,3,0,1,0,3,0,3,0,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,3,0,0],[2,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,7,0,0,0,4,0,2,0,0,0,0,0],[0,3,0,0,0,0,4,0,0,0,2,0,0,0,0,0,2,0,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[4,0,0,2,0,4,0,0,1,0,0,5,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,6,0,0,0,0,3,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2],[1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,3,0,0],[3,0,2,0,0,0,0,5,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,2,0,2],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- 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[[2,0,2,0,0,3,0,3,0,0,4,0,0,1,0,6,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1],[0,0,0,0,0,0,1,0,7,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,2,0],[0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,4,0,0,0],[3,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0],[0,0,0,2,0,2,0,1,0,0,0,0,2,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0],[2,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,2,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,2,0,0,2,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,3,0,1,0,4,0,0,3,0,0],[2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,1,0,2],[0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,2,0,1,0,0,0,0,3,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],] -- [[1,0,3,0,4,0,0,3,0,2,0,0,2,0,1,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,1,0],[0,0,0,1,0,0,0,0,4,0,0,1,0,0,0,2,0,3,0,0],[1,0,2,0,1,0,1,0,0,0,1,0,5,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,3,0,1],[0,0,3,0,0,2,0,0,0,2,0,1,0,0,6,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,1],[0,1,0,3,0,0,0,0,0,0,1,0,0,0,0,0,3,0,2,0],[0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,4,0,0,0,0,0,0,4,0,1,0,1,0,0],[2,0,2,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,6,0],[0,3,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[1,0,2,0,0,0,0,0,1,0,3,0,1,0,0,0,2,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],] -- [[2,0,0,2,0,2,0,0,2,0,2,0,0,4,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,6,0,2,0,0,3,0,2,0,0,1,0,1,0,6,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,4,0,0,0,0],[5,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,1,0,6,0,0,1,0,2,0,0,0,0,0],[3,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,4,0,0,6,0,0,0,0,0,2,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,2,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,3],[0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,7,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[3,0,3,0,1,0,4,0,3,0,0,1,0,3,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,2,0,1,0,2],[0,1,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0],] -- [[0,0,0,0,1,0,1,0,2,0,0,3,0,0,1,0,2,0,5,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,1,0,2,0,0,1,0,3,0,0,0,0],[1,0,5,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0],[3,0,0,0,0,0,0,0,3,0,0,5,0,0,0,0,1,0,0,0],[0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,2,0,2],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,1,0,0,0,0,2,0,2,0,1,0,1],[3,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,2,0,0,0,0,1,0,3,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,3,0,0],[3,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,4,0,1,0,0,2,0,1,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0],[3,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,2,0,2,0,0,1,0,0],[0,0,2,0,3,0,0,0,0,5,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[0,3,0,3,0,2,0,0,1,0,4,0,0,2,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,2,0,2,0],[2,0,0,0,2,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0],[0,0,5,0,0,0,1,0,0,0,5,0,0,0,0,3,0,0,0,0],[3,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,8,0],[0,0,0,3,0,0,1,0,0,0,0,1,0,2,0,4,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,1,0,3,0,4,0,0,0,1,0,1,0,0],[5,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,3,0],[0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0],[0,0,0,0,0,1,0,5,0,2,0,0,0,0,4,0,0,0,0,0],[1,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,2,0,0,0,0,3,0,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0],] -- [[2,0,4,0,0,2,0,0,5,0,0,3,0,1,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,1,0,0,0,0,0,0,3,0,3,0,0,3,0],[3,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,2,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3],[0,4,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,1,0,0,2,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,9,0,0,1,0,0,0,0,3,0,0,0,1,0,2,0,0],[0,3,0,0,0,2,0,2,0,0,3,0,0,2,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,1,0,0,4,0,0,0,0,0,0,0,4,0,0,1,0,0],[0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[3,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,4,0,0,0,0,2,0,1,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,2,0],[2,0,2,0,2,0,2,0,0,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0],] -- [[0,1,0,0,2,0,0,2,0,0,0,3,0,1,0,1,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,3,0,0,4,0,0,4,0,1,0,0,0,0],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0],[2,0,4,0,0,0,0,0,0,2,0,3,0,1,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,2],[0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0],[3,0,2,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,1,0,0,3,0,0,0,0,0,4,0,1,0,5,0,0],[0,0,0,0,0,6,0,0,0,0,0,0,0,0,6,0,0,0,0,0],[0,2,0,2,0,0,0,0,0,0,5,0,1,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,7,0,0],[2,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,3],[0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1],] -- 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[[2,0,0,3,0,0,0,1,0,2,0,0,2,0,2,0,2,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,1,0,3,0,0,1,0,3,0,0,0,2,0,3,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,2],[0,1,0,0,0,0,0,0,0,0,0,0,9,0,0,1,0,0,0,0],[0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0],[3,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,8,0,0,0,3,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2],[0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,1,0,0,0,0],[4,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,2,0,0,0],[0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,6,0,0,1,0,1,0,4,0,0],[0,0,3,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[3,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,3,0,0,3],[0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0],] -- [[1,0,3,0,2,0,1,0,4,0,0,0,0,1,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,5,0,2,0,0,0,0,4,0,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,3,0,0,0,0,2,0],[4,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,5,0,0,2,0,0,2,0,0,0,0,1,0,1],[5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,0,0,0,0,1,0,1,0,3,0,0,0,0,1,0],[0,0,0,0,3,0,0,3,0,0,1,0,0,0,0,0,0,1,0,0],[0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0],[2,0,0,0,2,0,2,0,0,3,0,0,2,0,4,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,1,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,3,0,1,0,0,0,3,0,0,0],[2,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,3,0,0,0],] -- [[1,0,1,0,1,0,2,0,1,0,3,0,1,0,3,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,3,0,0,1,0,3,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,3,0,1,0,0,1,0,2,0,0,0,0,0,0,3,0],[0,0,2,0,0,0,0,3,0,0,0,0,0,2,0,0,0,2,0,2],[3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,4,0,0,1,0,4,0,0,0],[0,0,1,0,4,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0],[4,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,3],[0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,2,0,1,0,3,0,5,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[0,8,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],] -- [[0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,3,0,2,0,1,0,0,0,3,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,3,0,0,1],[0,1,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[0,0,0,0,0,1,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,2,0,1,0,0,0,2,0,1,0,0,0,3,0,0,0,3,0],[0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,5,0,0,0],[0,3,0,0,3,0,0,1,0,1,0,0,0,0,0,2,0,1,0,2],[0,0,0,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,4,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,3,0,0],[0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,2,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,2,0,3,0,2,0,1,0,1,0,0,2,0,3,0,1],] -- [[0,1,0,0,2,0,0,2,0,2,0,0,0,4,0,1,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,1,0,0,0,1,0,0,0,0,2,0,0,4,0,3,0],[0,0,0,0,0,0,0,3,0,3,0,1,0,0,0,0,0,0,0,0],[0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,4,0,1,0,3,0,0,2],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,1,0,1,0,0,0,0,3,0,0,0,0,4],[0,0,0,0,0,0,6,0,0,0,2,0,0,0,0,2,0,0,0,0],[1,0,0,5,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,5,0,0,7,0,0,0,1,0,0,0],[2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0],[0,2,0,1,0,0,7,0,2,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0],[2,0,0,0,0,0,0,0,0,0,0,5,0,3,0,0,3,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],] -- [[2,0,1,0,1,0,0,0,3,0,0,0,5,0,0,4,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,0,0,4,0,4,0,0,0,1,0,0,0,4,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0],[0,2,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,6,0,0,0,0,0,3,0,1,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,3,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,4,0,0],[0,0,3,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,6,0,1,0,0,0,0,0,3,0,0],[1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[0,3,0,0,1,0,5,0,0,0,0,2,0,0,0,0,0,0,0,4],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,2,0,0,3,0,0,6,0,0],[0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,1,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0],] -- [[1,0,0,3,0,0,3,0,1,0,0,3,0,0,1,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,1,0,2,0,0,3,0,0,5,0,1,0,0,0,0,2,0,0,5],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0],[0,0,0,0,0,3,0,1,0,1,0,0,0,2,0,0,0,0,0,2],[0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,3,0,0,0,0,0,3,0,3,0,0,2,0,3,0,0,0,0,3],[0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1],[0,0,0,1,0,0,0,0,0,0,7,0,0,0,0,1,0,0,0,0],[2,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1],[0,0,0,0,4,0,0,0,0,3,0,0,0,10,0,0,1,0,0,0],[0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,1,0,3,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,2,0,2,0,0,2,0,0,0,0,0,3,0,0,0,1,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,1,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2],] -- [[1,0,1,0,2,0,1,0,1,0,2,0,0,3,0,0,3,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,2,0,2,0,1,0,3,0,0,0,3,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,1,0,2,0,0,0,1,0,2,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0],[2,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,7,0,0,0,0],[0,3,0,2,0,1,0,0,4,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,1,0,5,0],[0,0,0,0,3,0,0,0,0,1,0,2,0,2,0,3,0,0,0,0],[0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0],[0,0,0,3,0,0,0,0,2,0,1,0,1,0,3,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,5,0,0,0],[0,0,1,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1],[0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1],] -- [[2,0,0,1,0,7,0,0,0,0,0,7,0,0,0,5,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,4,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[4,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,3,0,0,0,0,3,0,0,0,3,0],[0,0,0,6,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[6,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,1,0,1,0],[0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0],[1,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],[3,0,2,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,2,0,0,1],[0,0,0,5,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,4,0,0,2,0,0,0,0,4,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,2,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[2,0,2,0,0,6,0,0,0,1,0,3,0,3,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,3,0,0,0,0,3,0,0,0,0,1,0,3,0,1,0,3],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,2,0,2,0,2,0,0,0,0,0],[4,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0],[0,0,1,0,0,0,0,8,0,0,0,0,0,0,0,0,0,2,0,0],[0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0],[0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0],[3,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,2,0,0,0,4,0,0,0,2,0,0,1,0,0],[0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0],[3,0,0,1,0,1,0,2,0,0,0,1,0,2,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0],[0,0,0,0,0,1,0,0,3,0,5,0,1,0,2,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,1,0],[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,2,0,0,1,0,3,0,0,1,0,1,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,3,0,1,0,0,0,5,0,0,1,0,1,0,3,0],[0,4,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,1,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0],[3,0,1,0,0,0,1,0,5,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,3,0,0,2,0,1,0,2,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,2,0,2,0,0,0,0,4,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2],[1,0,1,0,1,0,2,0,0,0,1,0,3,0,0,2,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1],] -- [[5,0,1,0,1,0,2,0,1,0,2,0,0,1,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,8,0,0,0,1,0,2,0,2,0,0,1,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[2,0,0,1,0,0,5,0,0,0,0,0,2,0,6,0,0,0,0,0],[0,0,1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2],[0,0,0,7,0,0,0,0,3,0,0,0,1,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0],[4,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,3,0,2,0,0,0,1,0,0,0],[0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,3,0,3,0,0],[4,0,0,0,0,3,0,3,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,4,0,0,2,0,0,0,0,0,0],[2,0,5,0,0,0,0,0,3,0,0,0,0,0,0,4,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],] -- [[3,0,0,0,1,0,1,0,1,0,4,0,0,0,1,0,3,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,9,0,0,0,4,0,0,3,0,0,0,2,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0],[7,0,0,0,0,0,0,0,4,0,4,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0],[0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,2,0,2,0,0],[0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,1,0,0,0,0,0,11,0,1,0,3,0],[0,3,0,3,0,0,0,0,0,3,0,0,1,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,4,0],[1,0,2,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0],[0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0,1,0,1,0],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],] -- [[3,0,0,0,6,0,0,0,3,0,0,2,0,2,0,2,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0],[0,0,0,2,0,0,4,0,2,0,0,0,0,1,0,0,0,0,1,0],[3,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0],[0,0,0,1,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0],[0,0,5,0,3,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,4,0],[2,0,0,0,0,3,0,0,2,0,0,1,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,1,0,0,0,0,1,0,1],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1],[0,0,2,0,3,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,3,0,6,0,0,3,0,3,0,0],[0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,2],[2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0],[0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0],] -- [[1,0,1,0,2,0,0,3,0,0,3,0,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,4,0,0,1,0,2,0,0,0,0,3,0,0,2,0,2],[0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,2,0,0,0,0,0,3,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,3,0,0],[6,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,4,0,3,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0],[0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,3,0,2,0,6,0,0,0,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,1,0,0],[2,0,4,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0],[0,0,0,0,0,4,0,0,0,3,0,0,0,6,0,1,0,4,0,0],[4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,1,0,0,3,0],[0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],] -- [[4,0,0,0,0,3,0,1,0,1,0,2,0,4,0,4,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,4,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,4,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,6,0,0,0,3,0,3,0,0,0],[2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,2,0,0,0,0,0,2,0,4,0,0,0,3,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,4,0,0,0,1,0,3,0,0,2,0,3],[1,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,3,0,0,0,0,0,1,0,0,2,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,7,0,0,1,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,3,0,0,0,0,0,2,0,4,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,1,0,2],[0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1],] -- [[3,0,4,0,0,0,0,2,0,0,2,0,0,1,0,2,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,2,0,2,0,0,1,0,3,0,2,0,0,2,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,3,0,4,0,0,0,0,0,3,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,2,0,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,3,0,2,0,0,2,0,0,1,0,0,0,0,0],[1,0,4,0,0,0,0,0,0,0,1,0,0,2,0,4,0,0,0,0],[0,0,0,0,1,0,0,0,2,0,0,4,0,0,0,0,0,0,0,2],[3,0,0,0,0,0,0,11,0,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2],[0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0],[3,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,5,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0],] -- [[0,0,0,3,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,2,0,1],[0,2,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,3,0,0,1,0,3,0,0,0,0,0],[0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,5],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1],[1,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,1],[1,0,0,3,0,0,0,3,0,0,0,0,4,0,0,0,0,3,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0],[0,2,0,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0,3],[0,0,0,0,2,0,0,0,0,1,0,0,0,3,0,1,0,0,0,0],[1,0,0,3,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,3,0,0],[0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,5,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,1,0,0,0,4,0,1,0,0,0,0,0,0,10,0,0,0,2],] -- [[1,0,2,0,0,2,0,0,2,0,3,0,3,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,0,0,0,0,2,0,0,1,0,2,0,0],[0,0,0,0,0,0,0,0,0,3,0,4,0,0,0,0,0,0,0,2],[3,0,0,0,1,0,5,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,2,0,1,0,0,2,0,6,0,0,0,0,0,1,0],[1,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,2,0,1,0,0,0,0,3,0,0,0,0,0,1,0,0],[3,0,0,0,0,0,0,2,0,1,0,0,0,3,0,0,1,0,3,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,5,0,0,0,0],[0,0,3,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0],[5,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,3,0,0,0,4,0,1,0,0,0,0,0,1,0,2,0,0],[0,0,0,0,0,1,0,0,0,0,2,0,0,0,4,0,0,0,0,3],[0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,4,0,0,0,1,0,3,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,1],] -- [[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,2,0,4,0,0,0,2,0,2,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,8,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,1],[0,0,0,0,3,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0],[2,0,0,3,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,4,0,0,0,1,0,0,0,1,0,0,1,0,1],[0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,2,0,0,0,0],[2,0,4,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,5],[0,0,7,0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0],[3,0,3,0,0,0,2,0,0,2,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,2,0,0,5,0,0,0,0,2,0,0,0,4,0,0,1,0,1],] -- [[0,0,0,0,3,0,0,0,2,0,0,0,0,2,0,0,4,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,2,0,0,1,0,4,0,3,0,0,2,0,2],[2,0,8,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0],[3,0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,0,1,0,2,0,3,0,0,1,0,2,0,0],[1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,2,0,0,0,0,0,0,3,0,0,1,0,0,7,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3],[0,0,3,0,0,9,0,0,3,0,2,0,0,0,1,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,1,0,1,0,0,0,0,4,0,0,2,0,2],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0],] -- [[1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,5,0,0,0,0,0,0,3],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0],[2,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,2],[0,0,0,1,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,2,0,1,0,5],[1,0,1,0,0,0,0,0,0,0,0,6,0,0,8,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,2,0,0,3,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,3,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,2,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,4],[0,0,4,0,0,0,0,0,0,0,1,0,0,3,0,0,0,2,0,0],[0,0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,4],[0,2,0,0,0,2,0,3,0,0,3,0,1,0,0,0,5,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,2,0,1,0,0,0,3,0,0,0,5,0,2,0,2],] -- [[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2],[2,0,0,3,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,4,0,0,3],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,4,0,0,0,0,3,0,1,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,3,0,1,0,0,2,0,0,0,0,0,0,0,5,0,2,0,0],[0,0,0,0,0,1,0,0,0,2,0,0,8,0,0,0,1,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,3,0,0,0,0,2,0,3,0,0,2,0,1],[0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,1,0,4,0,1,0,1,0,1,0,0,0],[0,2,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,3],[0,0,0,0,0,0,3,0,1,0,1,0,0,0,0,1,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,2,0,1,0,2,0,1,0,2,0,0,1,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,2,0,1,0,1,0,2,0,1,0,2,0,0,2,0,1,0,1],] -- 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