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 @@
-- [[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,4,0,0,0,0,0,2,0,0,2],[0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,3],[0,0,0,0,3,0,0,2,0,2,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,2],[0,3,0,0,0,4,0,0,0,0,3,0,0,0,4,0,0,1,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,0,2],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,8,0,0,3,0,0,1,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,5,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,3,0,1,0,0,0,0,5,0,0,0,0,3,0,0,0,0,0,7],]
-- [[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,2],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,2,0,0,0,4,0,0,0,3,0,0,0],[0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,1,0,0],[0,2,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,3,0,1,0,5],[1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0],[0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,1,0,1],[0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,4,0,3,0,0,0,0,0,0,0,0,0,4,0,1],[0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,1,0,0,0,0],[1,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,3,0,1,0,0,0,0,4,0,0,0,0,0,0,2,0,0,3],[0,1,0,0,0,1,0,0,0,0,0,2,0,0,3,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,0,5,0,2,0,0,0,0,0,0,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,3,0,0,0,0],[0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,2,0,0,4,0,1,0,2,0,3,0,0,3,0,0,0,3],]
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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],]
-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
-- [[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],]
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-- [[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],]
-- [[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],]
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-- [[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],]
-- [[0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0],[1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,2,0,0,3,0,0,2,0,0,3,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2],[0,0,0,0,2,0,0,3,0,0,1,0,1,0,0,0,0,2,0,0],[3,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1],[0,1,0,0,2,0,0,0,0,8,0,0,2,0,0,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,6],[0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0],[0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,6,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,3,0,2],[0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[0,1,0,1,0,1,0,0,0,0,5,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,1,0],[0,0,0,0,0,0,0,4,0,2,0,0,0,3,0,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,4,0,1,0,2,0,1,0,0,0,3,0,0,2,0,1],]
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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],]
-- [[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],]
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-- [[4,0,0,0,0,0,0,2,0,0,2,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[3,0,0,2,0,0,3,0,0,3,0,4,0,0,0,0,0,5,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,6,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,3,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,1,0,0,0,0,0,0,5,0,0,0,0,0,0,0,3,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,3,0,0,3,0,0,0,0],[1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,0,0,0,0,0,3,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,3,0,3,0,0,0,0,2,0,2,0,0,0,2,0],[0,0,0,3,0,0,1,0,0,3,0,0,0,0,0,3,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,2,0,3,0,2,0,0,4,0,2,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,3,0,0,0,3,0,0,2,0,0,1,0,1,0],]
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-- [[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],]
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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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-- [[3,0,0,0,2,0,0,2,0,0,2,0,0,4,0,3,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,0,3,0,0,2,0,2,0,1,0,1,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,4,0,0,1],[4,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,7,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,1,0,3,0,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,0,3,0],[0,0,1,0,2,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,0,0,0,0,0,0,2,0,6,0,0,0,0,0,0],[0,0,3,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,4,0,0,0,3,0,0,2,0,0,0,0,0,0,0,4],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,4,0,0,2,0,3,0,0,0,0,3,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
-- [[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],]
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-- [[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],]
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-- [[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],]
-- [[0,0,0,3,0,0,2,0,3,0,3,0,0,2,0,0,4,0,2,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,1,0,4,0,0,0,0,4],[3,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,2,0,3,0,4,0,0,0,0,0,2,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0],[0,0,5,0,0,0,0,0,3,0,0,2,0,0,2,0,4,0,0,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0],[0,0,1,0,3,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2],[0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,3,0,0,0,4,0,0,0,2,0,3,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0,0,1,0,2,0,0,2,0,3,0,0,0],[2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0],]
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-- [[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],]
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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],]
-- [[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],]
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-- [[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],]
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-- [[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],]
-- [[0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,0,0,1,0],[2,0,4,0,0,1,0,3,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,2,0,1,0],[1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,3,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,1,0,3,0],[4,0,0,2,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1],[0,0,0,0,0,0,0,2,0,0,0,0,3,0,4,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,2,0,0,0,0,2,0,0,1,0],[0,0,3,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,3,0],[0,0,4,0,0,0,0,0,2,0,0,0,0,0,1,0,3,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,7,0,0,0,0,0,0,1,0,0,3,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,2,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,4,0,3,0,0,3,0,0,1,0,3,0,0,2,0],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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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],]
-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,1,0,0,2,0,0,0,1,0,0,0,7,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,4],[2,0,3,0,0,0,4,0,0,1,0,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,0,0,1,0,0,0,2,0,0,3,0,0,1,0,1],[1,0,0,0,0,0,3,0,1,0,0,0,0,2,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0],[0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,8,0,0,0,0,0,0,7,0,0,4,0,0,0],[1,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,3,0,10,0,3],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,2,0,0,0,4,0,1,0,3,0,0,1,0,1,0,0,0,0,3],]
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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],]
-- [[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],]
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-- [[0,0,3,0,2,0,1,0,0,2,0,0,2,0,1,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,1,0,1,0,0,6,0,2,0,2],[0,1,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,3,0,0,0],[0,0,0,0,7,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2],[0,0,0,0,0,0,0,2,0,1,0,1,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1],[0,0,0,0,3,0,0,0,2,0,3,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,2,0,0,1],[0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,6,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0],[0,3,0,0,2,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,7],[0,0,0,3,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0],[0,2,0,0,0,2,0,4,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,6,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,4],]
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-- [[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],]
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-- [[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],]
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-- [[0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,1,0,0,2],[3,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,10,0,0,0,0,4,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[1,0,4,0,0,0,0,0,0,0,4,0,2,0,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,5,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,3,0,1,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,6],[0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,2,0,0],[2,0,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0],[0,0,2,0,0,1,0,0,0,0,4,0,0,0,0,0,1,0,2,0],[0,0,0,1,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,4,0,0,2,0,0,0,0,0,1,0,1,0,3,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,1,0,0,0,4,0,1,0,1,0,0,2],]
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-- [[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],]
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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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-- [[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],]
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-- [[2,0,2,0,0,1,0,2,0,0,2,0,1,0,3,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,2,0,0,3,0,3,0,0,0,0,3,0,0,0,0,3,0],[0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,5,0,0,0,0],[2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,3,0,0,3,0,0,0,0,1,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,2,0],[2,0,0,0,0,1,0,0,2,0,0,0,0,0,0,4,0,0,0,0],[0,0,3,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,1,0,1,0,0,2,0,0,0,2,0],[3,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,2,0,3],[1,0,3,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,1,0,0,0,2,0,3,0,1,0,3,0,0,2,0,2,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,3,0,1,0,2,0,3,0,2,0,0,2,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0],[0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],]
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-- [[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],]
-- [[0,0,0,2,0,3,0,3,0,13,0,0,2,0,0,1,0,2,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,2,0],[1,0,3,0,7,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0],[0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,7,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[5,0,0,2,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,2,0,0,3,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,3,0,0,0],[3,0,0,0,0,1,0,7,0,0,0,0,3,0,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,4,0,0,0,0],[0,0,1,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,2,0],[0,0,2,0,3,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0],]
-- [[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],]
-- [[1,0,9,0,1,0,1,0,5,0,0,0,3,0,1,0,1,0,1,0],[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],]
-- [[1,0,2,0,1,0,2,0,3,0,0,0,4,0,5,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,4,0,0,5,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,3,0,0,0,2,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,2,0,0,0,2,0,1,0,3,0,0],[0,0,0,0,1,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,1],[0,0,0,0,3,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,2,0,0,4],[1,0,0,2,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,1,0,3,0,0,0,3,0,0,3,0,0,0],[0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,0],[2,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,1,0,0,0,0,0,3,0,2,0,0,1],[0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,2],[0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],]
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-- [[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],]
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-- [[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],]
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-- [[3,0,0,0,1,0,2,0,1,0,1,0,3,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,1,0,0,5,0,1,0,3,0,2,0,4,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0],[0,0,0,0,0,0,0,1,0,0,1,0,9,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2],[1,0,1,0,3,0,0,3,0,0,1,0,0,0,0,0,0,2,0,0],[0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,3,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,3,0,0],[3,0,7,0,0,2,0,0,1,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,2,0,0,0,4,0,0,0,0,0,2],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,2,0,4,0,0,0,1,0,2,0],[2,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,3,0,0],[3,0,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],]
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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],]
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-- [[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],]
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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],]
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-- [[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],]
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-- [[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],]
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-- [[0,0,1,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,1,0,0,0],[0,0,3,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,2,0],[1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0],[0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,5,0,0,3,0,0,2,0,0,2,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[3,0,0,0,0,4,0,0,3,0,0,0,0,0,2,0,0,0,0,1],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,3,0,0,0,1,0],[3,0,1,0,0,0,0,3,0,0,6,0,0,1,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,3,0,0],[4,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0],[0,0,2,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,1],[1,0,0,0,2,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0],[2,0,0,0,3,0,0,0,3,0,2,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,2,0,0,3,0,0,0,3,0,3,0,2,0,1,0],]
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-- [[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],]
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-- [[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],]
-- [[4,0,4,0,0,0,10,0,1,0,3,0,0,2,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,1,0,1,0,2,0,1,0,0,2,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,3,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,2,0],[0,3,0,3,0,0,0,3,0,2,0,0,4,0,0,0,0,2,0,0],[0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,2,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,2,0,0,4,0,0,0,0,2,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0],[0,0,2,0,4,0,0,0,2,0,0,1,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,2,0,3,0,0,0,0,0],[2,0,0,3,0,0,1,0,3,0,1,0,0,0,0,0,0,0,0,2],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,1,0,2,0,2,0,0,2,0,0],[1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],]
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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],]
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-- [[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],]
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-- [[2,0,2,0,2,0,5,0,1,0,1,0,2,0,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,7,0,0,0,0],[1,0,1,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,2,0,0,0,0,1,0,4,0,0,0,1,0,0,0,1,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,1,0,3,0,0,1,0,3,0],[2,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[4,0,2,0,0,0,0,0,2,0,4,0,0,0,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,3,0,1,0,2,0,0,0,0,1,0,0,0],[2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,1],[0,0,0,2,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,2,0,0,0,2,0,3,0,0,0,0,3],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0],[2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,5,0,0,1,0,0,0,1,0,0,0,0,0,0,0],]
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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],]
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-- [[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],]
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-- [[1,0,2,0,0,7,0,2,0,1,0,1,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,2,0,0,3,0,0,0,3,0,0,4,0],[0,3,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0],[0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,7,0,0,0,0],[0,0,5,0,0,0,0,1,0,1,0,2,0,3,0,0,0,0,4,0],[3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,3,0,0],[0,0,0,0,1,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0],[3,0,4,0,0,0,0,1,0,1,0,3,0,0,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,2,0,0,0,4,0,4,0,0,0,0,0,0,0,5,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],]
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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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-- [[3,0,0,0,2,0,3,0,0,2,0,0,1,0,3,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,2,0,1,0,4,0,0,0,1,0,1,0,0],[2,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,1,0,0,0,0,1,0,3,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,3],[3,0,2,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,1,0,0,0],[0,1,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,2,0,2],[0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0],[2,0,6,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,4,0,0,0,5,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0],[4,0,0,1,0,2,0,3,0,0,0,0,0,0,0,2,0,1,0,1],[0,0,2,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
-- [[5,0,0,0,1,0,5,0,0,3,0,0,2,0,0,3,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,0,0,0,0,1,0,3,0,1,0,1,0,0],[0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0],[0,0,4,0,0,3,0,0,0,0,0,3,0,0,3,0,0,0,0,0],[3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,2,0,2,0,0,0,0,2,0,0,0,3,0,0,0,0,2,0],[0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,1,0,0,0],[1,0,0,2,0,0,0,0,4,0,0,0,0,0,0,2,0,1,0,0],[0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[1,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0],[0,0,1,0,2,0,0,0,2,0,0,3,0,0,0,4,0,0,1,0],[2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,2,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,6,0,0,0,0,0,0,8,0,0,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],]
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-- [[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],]
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-- [[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],]
-- [[1,0,3,0,1,0,3,0,2,0,2,0,2,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,3,0,5,0,0,0,0,1,0,0],[0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0],[0,0,0,0,4,0,0,0,0,2,0,4,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,3,0,0,3],[4,0,0,3,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,2,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0],[1,0,1,0,0,0,0,1,0,0,1,0,2,0,3,0,0,2,0,0],[0,0,0,1,0,0,5,0,3,0,0,0,0,0,0,0,0,0,0,2],[1,0,2,0,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0],[5,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,1,0,0],[1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
-- [[0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,4,0,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,3,0,0,0],[0,0,0,5,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[0,0,0,0,0,3,0,0,2,0,1,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,1,0,0,4,0,2,0,0,0,0,0],[0,0,0,3,0,0,0,3,0,0,1,0,0,0,0,1,0,3,0,2],[0,1,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,7,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,1,0,0,0,0,0,0,0,1,0,2,0,3,0,3],[0,0,0,1,0,0,1,0,2,0,0,4,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,4,0,0],[0,0,0,0,0,0,6,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,5,0,0,0,2,0,0,2,0,0,1,0,0,3,0,2],]
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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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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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],]
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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],]
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-- [[3,0,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,1,0,1,0,1,0,3,0,0,3,0,0,0,0,2,0,1,0],[0,3,0,2,0,1,0,1,0,0,0,0,0,0,3,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,1,0,2,0,0,3,0,0,0,0,0,0,0,0],[0,0,1,0,0,1,0,0,0,0,0,0,0,3,0,5,0,0,0,0],[3,0,0,3,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,2,0,0,1,0],[4,0,0,2,0,5,0,0,0,0,0,2,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,4,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[3,0,0,0,0,1,0,0,4,0,3,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,3,0,0,0],[0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,2,0],[3,0,0,0,3,0,0,3,0,0,3,0,0,2,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,2,0],]
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-- [[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],]
-- [[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,5,0,2,0,0,0,0,1,0,1,0,0,0,0,2],[0,2,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,2,0,1,0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0],[1,0,0,0,1,0,0,0,0,4,0,0,1,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4],[0,0,0,1,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,1],[0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0],[0,1,0,1,0,1,0,0,0,0,0,0,0,0,6,0,0,0,3,0],[0,0,0,0,0,0,0,0,3,0,0,0,6,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,3],[4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,6,0,2,0,0],[0,1,0,0,5,0,0,2,0,0,2,0,3,0,0,0,1,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,2,0,0,2,0,2,0,1,0,1,0,0,0,3],]
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-- [[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],]
-- [[1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,3,0,1,0,0,0,0,2,0,0,0,1,0,0,0,6,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,3,0,1,0,0,0,3,0,0,0,4,0,0,4,0,1,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,4,0,0,0,3,0,0,0,0,0,0,4],[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,2,0,1,0,0,1,0,3,0,0,0],[3,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0],[0,0,0,0,0,0,3,0,0,2,0,0,0,0,2,0,1,0,3,0],[0,4,0,5,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,1,0,1,0,0,2,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0],[1,0,3,0,1,0,4,0,2,0,2,0,0,0,0,0,0,0,1,0],[0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,2,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,2,0,0,4,0,0,2,0,2,0,1,0,0,2],]
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-- [[2,0,2,0,3,0,0,0,2,0,0,1,0,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,5,0,0,3,0,0,0,0,0,4,0,0,2,0,0,4,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,4,0,0,0,0],[2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,5,0,1,0,2,0,1,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[3,0,0,0,0,4,0,0,3,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,8,0,0,2,0,0,1,0,0,0],[0,0,7,0,1,0,0,0,1,0,0,0,0,0,0,1,0,3,0,2],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0],[6,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,7,0,0,0,0,2,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,2,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,2,0],[5,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1],]
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-- [[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],]
-- [[1,0,3,0,6,0,2,0,0,3,0,0,2,0,0,2,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,1,0,0,0,0,3,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,2,0,0,0,2,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,6,0,0,0],[0,1,0,1,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,2,0,0,0,3,0,2,0,0,0,0],[2,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,3,0],[0,0,2,0,0,2,0,2,0,0,0,1,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,2],[0,0,3,0,0,0,3,0,3,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0],[0,2,0,0,2,0,0,0,3,0,0,0,0,1,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[3,0,1,0,0,0,0,2,0,0,4,0,7,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,6,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],]
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-- [[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],]
-- [[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[3,0,0,0,0,1,0,2,0,3,0,0,0,5,0,0,0,0,0,0],[0,0,2,0,1,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0],[4,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,5,0,0,1,0,0,0,0,0,4,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0,0,0,0],[0,3,0,0,3,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[3,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0],[0,0,2,0,0,0,3,0,0,8,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,3,0,0],[0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,2,0,1,0,1,0,4,0,1,0,2,0,2,0,3,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,2,0,1,0,2,0,0,1,0,3,0,0,2,0,0],]
-- [[1,0,3,0,1,0,1,0,2,0,2,0,0,1,0,2,0,1,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,2,0,1,0,0,1,0,1,0,3,0,0,3,0,0,0],[0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,2,0,0,0,0,0,0,4,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2],[4,0,0,0,1,0,3,0,0,3,0,2,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0],[0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,3,0,0,0,0],[4,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,1,0],[0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,2,0,0,0,0,0,0,3,0,1,0,2,0],[4,0,0,0,0,0,0,0,0,12,0,3,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,1,0,0,4,0,7,0,0,0,0,2,0,1,0,0,0,0,2],[3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],]
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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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
-- [[1,0,3,0,0,0,3,0,3,0,0,1,0,1,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,2,0,0,0,2,0,2,0,0,2,0,3,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,1,0,2,0,5,0,0,1,0,0,0,0,0,1,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,3,0,0],[0,0,4,0,0,0,2,0,0,1,0,1,0,7,0,0,0,0,0,2],[2,0,0,0,4,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,2],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,1,0,6,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,3,0,0,1,0],[3,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,3],[3,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,2,0,0,2,0,1,0,3,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1],]
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-- [[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],]
-- [[1,0,1,0,2,0,1,0,4,0,0,0,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,2,0,0,3,0,3,0,0,3,0,0,2,0,0,2],[0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,3,0,1,0,0,0,0,0,4,0,0,1],[2,0,1,0,1,0,2,0,0,0,0,1,0,3,0,0,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,2,0,1,0,0,0,3,0,0,3],[0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0],[0,0,0,2,0,0,3,0,0,0,0,0,0,4,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,3,0],[1,0,1,0,2,0,0,2,0,0,0,0,2,0,0,0,2,0,0,0],[0,3,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,3,0,0,0,0,4,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0],[3,0,0,0,0,3,0,1,0,4,0,0,0,2,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],]
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-- [[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],]
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-- [[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],]
-- [[1,0,2,0,4,0,0,0,3,0,2,0,1,0,3,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,3,0,2,0,0,0,0,0,2,0,1,0,2,0,0,2,0],[0,0,0,0,0,0,0,2,0,3,0,0,0,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[2,0,0,0,1,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0],[2,0,0,0,2,0,0,0,0,0,1,0,2,0,2,0,0,0,2,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,2,0,0,3,0,0,1,0,2,0,0,0,3,0,0,0,0],[2,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,2,0,1],[0,0,3,0,1,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0],[11,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,3,0,2,0],[0,0,0,0,4,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,1,0,1,0,1,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,1,0,0,0,0,2,0,3,0,0,4,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],]
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-- [[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],]
-- [[2,0,7,0,4,0,0,0,2,0,0,2,0,2,0,3,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0],[6,0,0,0,0,0,3,0,0,0,0,0,1,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,3,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0],[3,0,0,2,0,1,0,0,5,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,7,0,0,3,0,0,4,0,0,3,0,0,0,0,0,0],[3,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,6,0,1,0,5,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,1,0,3,0,0,0,0,0,0,0,0,0,6,0,1,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,2,0],[4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,2,0,0,1,0,0,0,0,0,2,0,0],[0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2],[1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0],]
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-- [[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],]
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-- [[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0],[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],]
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-- [[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],]
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-- [[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],]
-- [[2,0,0,2,0,0,2,0,0,1,0,3,0,1,0,3,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,2,0,3,0,0,0,2,0,2,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,3,0,0,0,0,3,0,0,4,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,2],[3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,2,0,0,0,2,0,3,0,0,0,3,0,0,3,0,0,0],[2,0,0,0,0,1,0,0,0,0,0,6,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0],[3,0,1,0,0,2,0,8,0,0,0,0,0,0,0,0,0,0,4,0],[0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,1],[6,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0],[0,0,0,3,0,0,3,0,0,0,8,0,0,0,1,0,3,0,0,0],[0,0,3,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0],]
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-- [[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],]
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-- [[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],]
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-- [[2,0,0,4,0,0,0,3,0,0,0,1,0,5,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,1,0,3,0,0,2,0,0,0,0,0,4,0,1],[0,1,0,0,0,2,0,2,0,0,0,0,0,1,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[5,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,4,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,1,0,2,0,0,0,0,0,0,2],[1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0],[3,0,0,0,0,5,0,0,0,0,0,4,0,0,2,0,0,0,0,3],[0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,3,0,0,0,0,0,2,0,1,0,0,0],[4,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0],[1,0,0,1,0,3,0,0,0,0,0,2,0,0,0,0,2,0,2,0],[0,1,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
-- [[1,0,4,0,1,0,3,0,0,0,2,0,0,3,0,0,0,2,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,3,0,0,2,0,2,0,3,0,0,0,0,0],[0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0],[2,0,0,0,1,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0],[0,0,7,0,0,0,0,0,3,0,0,0,0,0,0,1,0,2,0,0],[8,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,2,0,0,0,0,3,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,4,0,0],[0,0,0,0,1,0,0,1,0,3,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0],[1,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0],[1,0,0,1,0,0,3,0,0,0,1,0,0,0,0,0,1,0,0,0],[0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,3,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0],[1,0,5,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],]
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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],]
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-- [[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],]
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-- [[2,0,0,6,0,4,0,0,0,1,0,2,0,2,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,2,0,1,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,0,0,1,0,2],[5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,3,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,2],[1,0,3,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,4,0,0,0,0,1,0,0,0,0,0,2,0,0],[2,0,0,3,0,0,0,0,0,0,0,0,3,0,4,0,0,0,0,2],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,4,0,0,4,0,0,0,3,0,0,0,0,0,2],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0],[4,0,2,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,1,0,3,0,0,0,0,3,0,0,0,0,3,0,1,0,0],[0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0],[1,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0],]
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-- [[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],]
-- [[2,0,0,2,0,0,2,0,0,2,0,1,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,2,0,3,0,1,0,0,1,0,3,0,4,0,7,0,0,3],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,1,0,3,0,0,1,0,0,0,0,0],[4,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,3,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,1],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,0,2,0,2,0,4,0,0,1,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,7,0,3,0,0,0],[7,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,6,0,0,0,0,0,0,0,1,0],[0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[3,0,0,0,3,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,2,0,3,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],]
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-- [[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],]
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-- [[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],]
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-- [[1,0,2,0,2,0,0,3,0,6,0,2,0,3,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,2,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2],[3,0,0,3,0,3,0,0,3,0,0,1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1],[2,0,0,0,0,0,0,2,0,3,0,0,0,4,0,1,0,0,0,0],[0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,5,0,1,0],[4,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,2,0,0,3,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0],[5,0,3,0,0,0,0,3,0,0,0,0,0,3,0,2,0,3,0,0],[0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,2,0,4,0,0,0,1,0],[0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],]
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-- [[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],]
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-- [[2,0,0,2,0,1,0,4,0,0,0,3,0,0,1,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,1,0,1,0,0,0,3,0,4,0,0,3,0,6,0,0,4,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0],[1,0,6,0,0,3,0,3,0,0,0,3,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1],[5,0,0,1,0,0,0,0,0,2,0,0,0,0,6,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0],[0,0,0,1,0,1,0,4,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,1,0,1,0],[0,0,0,0,0,4,0,1,0,0,3,0,0,0,0,4,0,1,0,0],[5,0,2,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,1,0,1,0,3,0,0,0,2,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],]
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-- [[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],]
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-- [[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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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[1,0,1,0,3,0,0,2,0,2,0,0,3,0,3,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,3,0,0,0,0,0,3,0,0,2,0,2],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,8,0,2,0,3,0,0,2,0,3,0,3,0,0,0,4,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,2,0,3,0,0,0,0,1,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,0,0,0,3,0,3,0,0,0,0,0,1,0,0,0,0,3,0],[0,0,0,1,0,0,0,0,0,3,0,3,0,0,3,0,3,0,0,0],[8,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,4,0,0],[0,0,1,0,2,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,3,0,4,0,2,0,0,0,0,0,5,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1],]
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-- [[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],]
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-- [[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],]
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-- [[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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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
-- [[0,3,0,2,0,2,0,3,0,0,0,1,0,2,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,1,0,2,0,2,0,2,0,3,0,0,0],[1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,3,0,0,1,0,0,2,0,2,0,3,0,2,0,0],[1,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0],[0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0],[0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,2,0,0,0],[1,0,2,0,0,0,1,0,4,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,3,0,0],[4,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,0,0,0,4,0,0,3,0,0,4,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,4,0,0,0,0,0,0,1,0,0,0,2,0,0,0],[0,0,0,0,0,0,0,2,0,3,0,3,0,0,1,0,0,0,2,0],[2,0,6,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,2,0,1,0,3,0,0,3,0,2,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0],]
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-- [[1,0,1,0,1,0,3,0,3,0,0,1,0,2,0,0,4,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,1,0,0,0,6,0,0,2,0,1,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0],[5,0,0,2,0,0,1,0,0,0,0,0,3,0,0,0,0,3,0,0],[0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,2,0,0,0,0,0,0,0,0,3,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0],[4,0,0,0,1,0,0,2,0,0,0,0,1,0,2,0,2,0,0,0],[0,0,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,0,3,0,3,0,0,0,1,0,0,0,0,0,0,0],[1,0,0,0,3,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0],[0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,2,0],[0,0,2,0,0,6,0,0,3,0,0,0,4,0,0,0,0,0,0,0],[4,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0],[0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0],]
-- [[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],]
-- [[4,0,2,0,0,2,0,3,0,0,0,1,0,4,0,0,0,2,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,3,0,0,0,2,0,1,0,0,0,0,0],[0,0,8,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,2],[4,0,0,0,0,0,0,0,0,3,0,2,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,2],[2,0,3,0,0,0,0,0,0,0,3,0,0,2,0,2,0,0,0,0],[0,0,0,0,6,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,3,0,0,0,1,0,0,4,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,2],[2,0,0,0,0,2,0,4,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,2,0,0,3,0,0,0],[3,0,3,0,7,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,3,0,0,0],[0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],]
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-- [[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],]
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-- [[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],]
-- [[6,0,0,0,7,0,0,2,0,2,0,0,2,0,1,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,2,0,0,2,0,3,0,0,0,2,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,2,0,1,0,2,0,0,3,0,0],[2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,1,0,2,0,0,2,0,0,1,0,0],[0,0,0,0,0,5,0,0,0,0,0,0,0,2,0,0,0,0,0,0],[7,0,0,0,0,0,0,1,0,1,0,2,0,0,0,2,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0],[4,0,0,1,0,0,2,0,1,0,0,0,4,0,1,0,0,1,0,0],[0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,1,0,0,3,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0],[0,0,2,0,0,6,0,0,3,0,0,0,0,0,0,4,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,3],[0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,1,0,1,0,0,3,0,0,2,0,0,0],]
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-- [[2,0,2,0,0,3,0,4,0,0,0,3,0,0,2,0,2,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0],[0,0,0,0,0,0,3,0,2,0,0,2,0,0,3,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0],[0,0,0,3,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,1,0],[0,0,2,0,3,0,3,0,0,0,0,2,0,2,0,0,0,2,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2],[0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,3,0,0,0,0,0,2,0,0,0,2,0,0,0],[0,0,0,3,0,0,0,0,0,8,0,0,0,0,3,0,0,0,1,0],[0,0,0,0,0,0,1,0,0,0,0,0,8,0,0,0,0,4,0,0],[1,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0],[0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0],[0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2],[3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
-- [[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[1,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,2,0,0,0,3,0,0,0,4,0,0,0,0,0,2,0,0,2],[0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,3],[0,0,0,0,3,0,0,2,0,2,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,2],[0,3,0,0,0,4,0,0,0,0,3,0,0,0,4,0,0,1,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,0,2],[0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,8,0,0,3,0,0,1,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,5,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0],[0,3,0,1,0,0,0,0,5,0,0,0,0,3,0,0,0,0,0,7],]
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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],]
-- [[2,0,0,2,0,0,2,0,0,1,0,1,0,4,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,3,0,2,0,0,2,0,2,0,3,0,4,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0],[0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1],[0,3,0,0,0,0,0,3,0,0,0,1,0,4,0,0,0,0,2,0],[0,0,0,0,2,0,4,0,0,8,0,0,0,0,0,1,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1],[7,0,1,0,2,0,2,0,2,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0],[0,0,0,1,0,2,0,0,0,0,0,2,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2,0,0],[0,0,2,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,2],[2,0,0,0,2,0,1,0,2,0,0,0,0,5,0,0,1,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,2,0,3,0,4,0,0,0,0,0,0,2,0,3,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0],[1,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0],]
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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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
-- [[1,0,2,0,5,0,2,0,0,2,0,0,0,0,0,1,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,3,0,0,0],[0,3,0,0,0,0,0,0,3,0,0,0,2,0,0,1,0,0,0,0],[0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0],[5,0,0,0,0,0,0,2,0,1,0,3,0,3,0,0,0,0,0,0],[0,0,0,2,0,5,0,0,0,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0],[3,0,2,0,0,0,0,0,0,0,0,2,0,0,5,0,0,0,0,0],[0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,6,0,0,0,0,0,0,3,0,0,1,0,0,0,0,2,0,0],[2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,4,0,0,2,0],[0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,0,3,0,0,0,3,0,0,3,0,0,0],[0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,3,0,1,0],[3,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],]
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-- [[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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-- [[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],]
-- [[4,0,0,0,0,0,0,2,0,0,2,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0],[3,0,0,2,0,0,3,0,0,3,0,4,0,0,0,0,0,5,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[1,0,6,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,3,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,1,0,0,0,0,0,0,5,0,0,0,0,0,0,0,3,0,0],[2,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,1,0,3,0,0,3,0,0,0,0],[1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,3,0,0,0,0,0,0,0,0,3,0,1,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,3,0,3,0,0,0,0,2,0,2,0,0,0,2,0],[0,0,0,3,0,0,1,0,0,3,0,0,0,0,0,3,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,2,0,3,0,2,0,0,4,0,2,0,0,4,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,3,0,0,0,3,0,0,2,0,0,1,0,1,0],]
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-- [[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],]
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-- [[3,0,0,0,2,0,0,2,0,0,2,0,0,4,0,3,0,0,4,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,0,3,0,0,2,0,2,0,1,0,1,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,4,0,0,1],[4,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,7,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,1,0,3,0,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,0,3,0],[0,0,1,0,2,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,0,0,0,0,0,0,2,0,6,0,0,0,0,0,0],[0,0,3,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,0,0,4,0,0,0,3,0,0,2,0,0,0,0,0,0,0,4],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,3,0,0,0,0,0,4,0,0,2,0,3,0,0,0,0,3,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],]
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-- [[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],]
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-- [[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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-- [[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],]
-- [[0,0,0,3,0,0,2,0,3,0,3,0,0,2,0,0,4,0,2,0],[3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,1,0,4,0,0,0,0,4],[3,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,2,0,3,0,4,0,0,0,0,0,2,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0],[0,0,5,0,0,0,0,0,3,0,0,2,0,0,2,0,4,0,0,0],[3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0],[0,0,1,0,3,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2],[0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,0,0,0,0,0],[2,0,0,1,0,0,3,0,0,0,4,0,0,0,2,0,3,0,0,0],[0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0],[2,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0,0,1,0,2,0,0,2,0,3,0,0,0],[2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0],]
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-- [[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],]
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-- [[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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-- [[2,0,2,0,0,0,0,1,0,3,0,0,2,0,0,4,0,0,0,3],[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],]
-- [[0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,0,0,1,0],[2,0,4,0,0,1,0,3,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,2,0,1,0],[1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,3,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,1,0,3,0],[4,0,0,2,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1],[0,0,0,0,0,0,0,2,0,0,0,0,3,0,4,0,0,0,0,0],[2,0,0,0,0,3,0,0,0,0,2,0,0,0,0,2,0,0,1,0],[0,0,3,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0],[1,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,3,0],[0,0,4,0,0,0,0,0,2,0,0,0,0,0,1,0,3,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[0,0,7,0,0,0,0,0,0,1,0,0,3,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,2,0,2],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,1,0,0,4,0,3,0,0,3,0,0,1,0,3,0,0,2,0],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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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],]
-- [[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,1,0,0,2,0,0,0,1,0,0,0,7,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,4],[2,0,3,0,0,0,4,0,0,1,0,0,0,0,0,0,2,0,0,0],[0,0,0,1,0,0,0,1,0,0,0,2,0,0,3,0,0,1,0,1],[1,0,0,0,0,0,3,0,1,0,0,0,0,2,0,1,0,0,0,0],[0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0],[0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0],[0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0],[0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,8,0,0,0,0,0,0,7,0,0,4,0,0,0],[1,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3],[0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,3,0,10,0,3],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[0,2,0,0,0,4,0,1,0,3,0,0,1,0,1,0,0,0,0,3],]
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-- [[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],]
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-- [[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],]
-- [[0,0,3,0,2,0,1,0,0,2,0,0,2,0,1,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,2,0,1,0,1,0,0,6,0,2,0,2],[0,1,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,3,0,0,0],[0,0,0,0,7,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2],[0,0,0,0,0,0,0,2,0,1,0,1,0,2,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1],[0,0,0,0,3,0,0,0,2,0,3,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,2,0,0,1],[0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,6,0],[0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0],[0,3,0,0,2,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,7],[0,0,0,3,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0],[0,2,0,0,0,2,0,4,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0],[0,0,0,0,6,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,4],]
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-- [[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],]
-- [[0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,1,0,0,2],[3,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,0,10,0,0,0,0,4,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0],[1,0,4,0,0,0,0,0,0,0,4,0,2,0,0,3,0,0,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,5,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,3,0,1,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,6],[0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,2,0,0],[2,0,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0],[0,0,2,0,0,1,0,0,0,0,4,0,0,0,0,0,1,0,2,0],[0,0,0,1,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,4,0,0,2,0,0,0,0,0,1,0,1,0,3,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,2,0,1,0,0,0,4,0,1,0,1,0,0,2],]
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-- [[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],]
-- [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,1],[3,0,0,0,4,0,1,0,0,0,0,0,4,0,0,0,0,5,0,0],[0,1,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,4],[0,2,0,4,0,0,0,0,5,0,0,4,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1],[0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,3,0,2,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,5,0,0,0,0,0,0,6,0,0,0,0,1],[0,5,0,0,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,3,0,0,0],[2,0,1,0,1,0,0,0,1,0,0,0,2,0,0,3,0,0,0,2],[0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0],[0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,2,0,0,0,0,0,7,0,1,0,0,3,0,0,6,0,1],]
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-- [[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],]
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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],]
-- [[1,0,1,0,1,0,2,0,0,1,0,3,0,3,0,0,0,2,0,2],[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],]
-- [[1,0,2,0,1,0,2,0,3,0,0,0,4,0,5,0,0,2,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,1,0,4,0,0,5,0,0,0,0,0,0,0,0,1,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,3,0,0,0,2,0,0,1,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,2,0,0,0,2,0,1,0,3,0,0],[0,0,0,0,1,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0],[2,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,1],[0,0,0,0,3,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,2,0,0,4],[1,0,0,2,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,1,0,3,0,0,0,3,0,0,3,0,0,0],[0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,0],[2,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,2,0,0,0,1,0,0,0,0,0,3,0,2,0,0,1],[0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0],[2,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,2],[0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],]
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-- [[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],]
-- [[3,0,0,0,1,0,2,0,1,0,1,0,3,0,0,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,1,0,0,5,0,1,0,3,0,2,0,4,0,0,0,0],[0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0],[0,0,0,0,0,0,0,1,0,0,1,0,9,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2],[1,0,1,0,3,0,0,3,0,0,1,0,0,0,0,0,0,2,0,0],[0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,3,0],[0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,3,0,0],[3,0,7,0,0,2,0,0,1,0,0,2,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,0,2,0,0,0,4,0,0,0,0,0,2],[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,2,0,4,0,0,0,1,0,2,0],[2,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,3,0,0],[3,0,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],]
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-- [[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],]
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-- [[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],]
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-- [[3,0,0,0,3,0,5,0,0,3,0,2,0,3,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,2,0,3],[0,0,0,0,0,4,0,0,0,0,3,0,0,0,1,0,0,0,0,0],[3,0,3,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,4,0],[0,0,0,0,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0],[7,0,0,1,0,2,0,0,0,1,0,2,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,0,2,0,3,0,3,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,0,4,0,0,3,0,0,3,0,0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,2,0,2,0],[0,0,2,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,2,0,1],[0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,2,0],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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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],]
-- [[4,0,4,0,0,0,10,0,1,0,3,0,0,2,0,0,2,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,1,0,1,0,2,0,1,0,0,2,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0],[3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0],[0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,1,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,3,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0],[1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,2,0],[0,3,0,3,0,0,0,3,0,2,0,0,4,0,0,0,0,2,0,0],[0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,2,0,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,2,0,0,4,0,0,0,0,2,0,0,0],[2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0],[0,0,2,0,4,0,0,0,2,0,0,1,0,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,2,0,3,0,0,0,0,0],[2,0,0,3,0,0,1,0,3,0,1,0,0,0,0,0,0,0,0,2],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,0,0,0,1,0,2,0,2,0,0,2,0,0],[1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],]
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-- [[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],]
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-- [[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],]
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-- [[2,0,2,0,2,0,5,0,1,0,1,0,2,0,0,3,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,7,0,0,0,0],[1,0,1,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,2,0,0,0,0,1,0,4,0,0,0,1,0,0,0,1,0,0,0],[0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,1,0,3,0,0,1,0,3,0],[2,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,2,0,0,0,0,3,0,0,2,0,0,0,0],[0,0,0,0,5,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[4,0,2,0,0,0,0,0,2,0,4,0,0,0,0,0,2,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,0,0,0,0,0,3,0,1,0,2,0,0,0,0,1,0,0,0],[2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,1],[0,0,0,2,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,2,0,0,0,2,0,3,0,0,0,0,3],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0],[2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,5,0,0,1,0,0,0,1,0,0,0,0,0,0,0],]
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-- [[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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-- [[0,3,0,0,2,0,4,0,2,0,1,0,0,2,0,0,2,0,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,4,0,0,0,0,0,0,4,0,1,0,2,0,0,0,0,2],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,4,0,0,1,0,0,0,2],[0,3,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,4,0,1,0],[0,0,0,4,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0],[3,0,0,0,0,0,4,0,2,0,0,0,0,0,0,0,0,3,0,3],[0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,3,0,2,0,0],[0,1,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,3],[0,1,0,0,4,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0],[0,0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,3,0,0],[0,0,0,0,0,1,0,2,0,0,0,1,0,0,2,0,0,0,0,3],[0,0,4,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,1,0,3,0,0],[0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],]
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-- [[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],]
-- [[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],]
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-- [[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],]
-- [[1,0,2,0,0,7,0,2,0,1,0,1,0,2,0,0,2,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,0,0,0,2,0,0,3,0,0,0,3,0,0,4,0],[0,3,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0],[0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,7,0,0,0,0],[0,0,5,0,0,0,0,1,0,1,0,2,0,3,0,0,0,0,4,0],[3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,0],[0,0,3,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0],[5,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,3,0,0],[0,0,0,0,1,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0],[3,0,4,0,0,0,0,1,0,1,0,3,0,0,0,0,1,0,0,0],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0],[0,0,2,0,0,0,4,0,4,0,0,0,0,0,0,0,5,0,0,0],[0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],]
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-- [[1,0,3,0,3,0,0,2,0,1,0,2,0,0,2,0,1,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,0,0,0,4,0,0,0,2,0,0,1,0,1,0,3,0,3,0,0],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,4,0,0,3,0,0,0,0,3,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,1,0,2,0,3,0,0,0,0,0,2,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,1,0,1,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,3,0,0,0,0,0,2,0,1,0,2,0,0,0,0,3,0,0,2],[0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,2,0,0,1,0,2,0,3,0,0,0,0],[3,0,4,0,0,0,0,3,0,0,2,0,0,0,0,0,0,3,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,2,0,2,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,1,0,3],[0,0,0,3,0,0,0,0,2,0,0,0,0,3,0,0,3,0,0,0],[0,3,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1],]
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-- [[1,0,3,0,0,0,3,0,3,0,0,0,3,0,0,2,0,0,3,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,9,0,0,0,0,2,0,0,0,0,0,5,0,0,0,0,0],[0,0,3,0,0,0,0,5,0,0,3,0,0,3,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0],[6,0,0,0,0,0,0,0,0,1,0,6,0,1,0,0,0,1,0,0],[0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[1,0,0,0,0,0,1,0,4,0,0,1,0,0,3,0,0,0,0,0],[0,3,0,0,0,3,0,0,0,0,0,0,6,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,5,0,0,2,0,2,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,0,0,0,0,0,2,0,5,0,0,1,0],[0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,1],[2,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],]
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-- [[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],]
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-- [[1,0,2,0,2,0,0,3,0,0,1,0,1,0,3,0,0,1,0,3],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,1,0,2,0,3,0,0,0,0,1,0,3,0,5,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,1,0,3,0,0,4,0,0,1,0,0,0,0,0,0,4],[3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0],[0,0,3,0,3,0,0,0,3,0,0,0,0,2,0,0,0,2,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,2,0,4,0,0,0,0,0],[2,0,0,1,0,4,0,3,0,0,4,0,0,0,0,0,0,0,3,0],[0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,8,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0],[6,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,1,0,0,0,0,0,5,0,0,1,0,0,0,0],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,2,0,2,0,3,0,0,0,0,0,3,0,0,0,0],[0,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,3],[0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,2,0,0,0,0],[1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],]
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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],]
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-- [[3,0,0,0,2,0,3,0,0,2,0,0,1,0,3,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,2,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,2,0,1,0,4,0,0,0,1,0,1,0,0],[2,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,3,0,0,3,0,1,0,0,0,0,1,0,3,0,0],[1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0],[0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,3],[3,0,2,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0],[0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,1,0,0,0],[0,1,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,2,0,2],[0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0],[2,0,6,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,0,0,4,0,0,0,5,0,0,0,0,0,0,0,1,0,2,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0],[4,0,0,1,0,2,0,3,0,0,0,0,0,0,0,2,0,1,0,1],[0,0,2,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,1,0],[0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,4,0,0,0],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0],]
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-- [[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],]
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-- [[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],]
-- [[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],]
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-- [[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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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
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-- [[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],]
-- [[0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,4,0,0,0],[0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,2],[0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,3,0,0,0],[0,0,0,5,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3],[0,0,0,0,0,3,0,0,2,0,1,0,0,0,0,0,0,0,0,0],[3,0,0,0,1,0,0,0,0,1,0,0,4,0,2,0,0,0,0,0],[0,0,0,3,0,0,0,3,0,0,1,0,0,0,0,1,0,3,0,2],[0,1,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,7,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0],[1,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,4,0,0,1,0,0,0,0,0,0,0,1,0,2,0,3,0,3],[0,0,0,1,0,0,1,0,2,0,0,4,0,0,0,0,0,0,0,0],[0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,4,0,0],[0,0,0,0,0,0,6,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,0,0,5,0,0,0,2,0,0,2,0,0,1,0,0,3,0,2],]
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-- [[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],]
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-- [[1,0,3,0,0,0,1,0,3,0,2,0,0,3,0,0,0,3,0,2],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5,0,1,0,3,0,0,0,0,0,3,0,2,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,1,0,1,0],[0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0],[0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,3],[2,0,0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,0],[0,1,0,2,0,3,0,0,0,0,3,0,0,3,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,3,0,5,0,0,0,0,5,0,2,0,0,0,0,6,0,1,0],[0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0],[3,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0],[0,0,0,0,0,0,3,0,9,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,3,0,0,1],[3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],]
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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],]
-- [[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],]
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-- [[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],]
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+---
+name: Nurikabe 20x20
+data:
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