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provide map images:
one-by-one
all-at-once
Hover to see an example of how to enter your data
.
[1] => [1,0]
[1,2] => [1,0,1,0]
[2,1] => [1,1,0,0]
[1,2,3] => [1,0,1,0,1,0]
[1,3,2] => [1,0,1,1,0,0]
Permutations
⟶
Dyck paths
[1,2]
↦
[2,1]
↦
[1,2,3]
↦
[1,3,2]
↦
[2,1,3]
↦
[2,3,1]
↦
[3,1,2]
↦
[3,2,1]
↦
[1,2,3,4]
↦
[1,2,4,3]
↦
[1,3,2,4]
↦
[1,3,4,2]
↦
[1,4,2,3]
↦
[1,4,3,2]
↦
[2,1,3,4]
↦
[2,1,4,3]
↦
[2,3,1,4]
↦
[2,3,4,1]
↦
[2,4,1,3]
↦
[2,4,3,1]
↦
[3,1,2,4]
↦
[3,1,4,2]
↦
[3,2,1,4]
↦
[3,2,4,1]
↦
[3,4,1,2]
↦
[3,4,2,1]
↦
[4,1,2,3]
↦
[4,1,3,2]
↦
[4,2,1,3]
↦
[4,2,3,1]
↦
[4,3,1,2]
↦
[4,3,2,1]
↦
[1,2,3,4,5]
↦
[1,2,3,5,4]
↦
[1,2,4,3,5]
↦
[1,2,4,5,3]
↦
[1,2,5,3,4]
↦
[1,2,5,4,3]
↦
[1,3,2,4,5]
↦
[1,3,2,5,4]
↦
[1,3,4,2,5]
↦
[1,3,4,5,2]
↦
[1,3,5,2,4]
↦
[1,3,5,4,2]
↦
[1,4,2,3,5]
↦
[1,4,2,5,3]
↦
[1,4,3,2,5]
↦
[1,4,3,5,2]
↦
[1,4,5,2,3]
↦
[1,4,5,3,2]
↦
[1,5,2,3,4]
↦
[1,5,2,4,3]
↦
[1,5,3,2,4]
↦
[1,5,3,4,2]
↦
[1,5,4,2,3]
↦
[1,5,4,3,2]
↦
[2,1,3,4,5]
↦
[2,1,3,5,4]
↦
[2,1,4,3,5]
↦
[2,1,4,5,3]
↦
[2,1,5,3,4]
↦
[2,1,5,4,3]
↦
[2,3,1,4,5]
↦
[2,3,1,5,4]
↦
[2,3,4,1,5]
↦
[2,3,4,5,1]
↦
[2,3,5,1,4]
↦
[2,3,5,4,1]
↦
[2,4,1,3,5]
↦
[2,4,1,5,3]
↦
[2,4,3,1,5]
↦
[2,4,3,5,1]
↦
[2,4,5,1,3]
↦
[2,4,5,3,1]
↦
[2,5,1,3,4]
↦
[2,5,1,4,3]
↦
[2,5,3,1,4]
↦
[2,5,3,4,1]
↦
[2,5,4,1,3]
↦
[2,5,4,3,1]
↦
[3,1,2,4,5]
↦
[3,1,2,5,4]
↦
[3,1,4,2,5]
↦
[3,1,4,5,2]
↦
[3,1,5,2,4]
↦
[3,1,5,4,2]
↦
[3,2,1,4,5]
↦
[3,2,1,5,4]
↦
[3,2,4,1,5]
↦
[3,2,4,5,1]
↦
[3,2,5,1,4]
↦
[3,2,5,4,1]
↦
[3,4,1,2,5]
↦
[3,4,1,5,2]
↦
[3,4,2,1,5]
↦
[3,4,2,5,1]
↦
[3,4,5,1,2]
↦
[3,4,5,2,1]
↦
[3,5,1,2,4]
↦
[3,5,1,4,2]
↦
[3,5,2,1,4]
↦
[3,5,2,4,1]
↦
[3,5,4,1,2]
↦
[3,5,4,2,1]
↦
[4,1,2,3,5]
↦
[4,1,2,5,3]
↦
[4,1,3,2,5]
↦
[4,1,3,5,2]
↦
[4,1,5,2,3]
↦
[4,1,5,3,2]
↦
[4,2,1,3,5]
↦
[4,2,1,5,3]
↦
[4,2,3,1,5]
↦
[4,2,3,5,1]
↦
[4,2,5,1,3]
↦
[4,2,5,3,1]
↦
[4,3,1,2,5]
↦
[4,3,1,5,2]
↦
[4,3,2,1,5]
↦
[4,3,2,5,1]
↦
[4,3,5,1,2]
↦
[4,3,5,2,1]
↦
[4,5,1,2,3]
↦
[4,5,1,3,2]
↦
[4,5,2,1,3]
↦
[4,5,2,3,1]
↦
[4,5,3,1,2]
↦
[4,5,3,2,1]
↦
[5,1,2,3,4]
↦
[5,1,2,4,3]
↦
[5,1,3,2,4]
↦
[5,1,3,4,2]
↦
[5,1,4,2,3]
↦
[5,1,4,3,2]
↦
[5,2,1,3,4]
↦
[5,2,1,4,3]
↦
[5,2,3,1,4]
↦
[5,2,3,4,1]
↦
[5,2,4,1,3]
↦
[5,2,4,3,1]
↦
[5,3,1,2,4]
↦
[5,3,1,4,2]
↦
[5,3,2,1,4]
↦
[5,3,2,4,1]
↦
[5,3,4,1,2]
↦
[5,3,4,2,1]
↦
[5,4,1,2,3]
↦
[5,4,1,3,2]
↦
[5,4,2,1,3]
↦
[5,4,2,3,1]
↦
[5,4,3,1,2]
↦
[5,4,3,2,1]
↦
distribution search
[1,0,1,0]
[1,1,0,0]
[1,0,1,0,1,0]
[1,0,1,1,0,0]
[1,1,0,0,1,0]
[1,1,0,1,0,0]
[1,1,1,0,0,0]
[1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0]
Sage cell
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