Identifier
- St001929: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[1,0]=>1
[1,0,1,0]=>1
[1,1,0,0]=>1
[1,0,1,0,1,0]=>1
[1,0,1,1,0,0]=>2
[1,1,0,0,1,0]=>2
[1,1,0,1,0,0]=>1
[1,1,1,0,0,0]=>2
[1,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,0,1,0]=>3
[1,0,1,1,0,1,0,0]=>3
[1,0,1,1,1,0,0,0]=>4
[1,1,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,0,0]=>4
[1,1,0,1,0,0,1,0]=>3
[1,1,0,1,0,1,0,0]=>1
[1,1,0,1,1,0,0,0]=>3
[1,1,1,0,0,0,1,0]=>4
[1,1,1,0,0,1,0,0]=>3
[1,1,1,0,1,0,0,0]=>3
[1,1,1,1,0,0,0,0]=>4
[1,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,0,1,1,0,0]=>4
[1,0,1,0,1,1,0,0,1,0]=>4
[1,0,1,0,1,1,0,1,0,0]=>6
[1,0,1,0,1,1,1,0,0,0]=>6
[1,0,1,1,0,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,0]=>8
[1,0,1,1,0,1,0,0,1,0]=>6
[1,0,1,1,0,1,0,1,0,0]=>4
[1,0,1,1,0,1,1,0,0,0]=>8
[1,0,1,1,1,0,0,0,1,0]=>6
[1,0,1,1,1,0,0,1,0,0]=>8
[1,0,1,1,1,0,1,0,0,0]=>6
[1,0,1,1,1,1,0,0,0,0]=>10
[1,1,0,0,1,0,1,0,1,0]=>4
[1,1,0,0,1,0,1,1,0,0]=>8
[1,1,0,0,1,1,0,0,1,0]=>8
[1,1,0,0,1,1,0,1,0,0]=>6
[1,1,0,0,1,1,1,0,0,0]=>10
[1,1,0,1,0,0,1,0,1,0]=>6
[1,1,0,1,0,0,1,1,0,0]=>6
[1,1,0,1,0,1,0,0,1,0]=>4
[1,1,0,1,0,1,0,1,0,0]=>1
[1,1,0,1,0,1,1,0,0,0]=>4
[1,1,0,1,1,0,0,0,1,0]=>8
[1,1,0,1,1,0,0,1,0,0]=>4
[1,1,0,1,1,0,1,0,0,0]=>6
[1,1,0,1,1,1,0,0,0,0]=>6
[1,1,1,0,0,0,1,0,1,0]=>6
[1,1,1,0,0,0,1,1,0,0]=>10
[1,1,1,0,0,1,0,0,1,0]=>8
[1,1,1,0,0,1,0,1,0,0]=>4
[1,1,1,0,0,1,1,0,0,0]=>8
[1,1,1,0,1,0,0,0,1,0]=>6
[1,1,1,0,1,0,0,1,0,0]=>6
[1,1,1,0,1,0,1,0,0,0]=>4
[1,1,1,0,1,1,0,0,0,0]=>8
[1,1,1,1,0,0,0,0,1,0]=>10
[1,1,1,1,0,0,0,1,0,0]=>6
[1,1,1,1,0,0,1,0,0,0]=>8
[1,1,1,1,0,1,0,0,0,0]=>6
[1,1,1,1,1,0,0,0,0,0]=>10
[1,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,1,0,0]=>5
[1,0,1,0,1,0,1,1,0,0,1,0]=>5
[1,0,1,0,1,0,1,1,0,1,0,0]=>10
[1,0,1,0,1,0,1,1,1,0,0,0]=>8
[1,0,1,0,1,1,0,0,1,0,1,0]=>5
[1,0,1,0,1,1,0,0,1,1,0,0]=>13
[1,0,1,0,1,1,0,1,0,0,1,0]=>10
[1,0,1,0,1,1,0,1,0,1,0,0]=>10
[1,0,1,0,1,1,0,1,1,0,0,0]=>15
[1,0,1,0,1,1,1,0,0,0,1,0]=>8
[1,0,1,0,1,1,1,0,0,1,0,0]=>15
[1,0,1,0,1,1,1,0,1,0,0,0]=>9
[1,0,1,0,1,1,1,1,0,0,0,0]=>18
[1,0,1,1,0,0,1,0,1,0,1,0]=>5
[1,0,1,1,0,0,1,0,1,1,0,0]=>14
[1,0,1,1,0,0,1,1,0,0,1,0]=>13
[1,0,1,1,0,0,1,1,0,1,0,0]=>15
[1,0,1,1,0,0,1,1,1,0,0,0]=>19
[1,0,1,1,0,1,0,0,1,0,1,0]=>10
[1,0,1,1,0,1,0,0,1,1,0,0]=>15
[1,0,1,1,0,1,0,1,0,0,1,0]=>10
[1,0,1,1,0,1,0,1,0,1,0,0]=>5
[1,0,1,1,0,1,0,1,1,0,0,0]=>13
[1,0,1,1,0,1,1,0,0,0,1,0]=>15
[1,0,1,1,0,1,1,0,0,1,0,0]=>14
[1,0,1,1,0,1,1,0,1,0,0,0]=>15
[1,0,1,1,0,1,1,1,0,0,0,0]=>19
[1,0,1,1,1,0,0,0,1,0,1,0]=>8
[1,0,1,1,1,0,0,0,1,1,0,0]=>19
[1,0,1,1,1,0,0,1,0,0,1,0]=>15
[1,0,1,1,1,0,0,1,0,1,0,0]=>13
[1,0,1,1,1,0,0,1,1,0,0,0]=>20
[1,0,1,1,1,0,1,0,0,0,1,0]=>9
[1,0,1,1,1,0,1,0,0,1,0,0]=>15
[1,0,1,1,1,0,1,0,1,0,0,0]=>8
[1,0,1,1,1,0,1,1,0,0,0,0]=>19
[1,0,1,1,1,1,0,0,0,0,1,0]=>18
[1,0,1,1,1,1,0,0,0,1,0,0]=>19
[1,0,1,1,1,1,0,0,1,0,0,0]=>19
[1,0,1,1,1,1,0,1,0,0,0,0]=>18
[1,0,1,1,1,1,1,0,0,0,0,0]=>24
[1,1,0,0,1,0,1,0,1,0,1,0]=>5
[1,1,0,0,1,0,1,0,1,1,0,0]=>13
[1,1,0,0,1,0,1,1,0,0,1,0]=>14
[1,1,0,0,1,0,1,1,0,1,0,0]=>15
[1,1,0,0,1,0,1,1,1,0,0,0]=>19
[1,1,0,0,1,1,0,0,1,0,1,0]=>13
[1,1,0,0,1,1,0,0,1,1,0,0]=>20
[1,1,0,0,1,1,0,1,0,0,1,0]=>15
[1,1,0,0,1,1,0,1,0,1,0,0]=>8
[1,1,0,0,1,1,0,1,1,0,0,0]=>19
[1,1,0,0,1,1,1,0,0,0,1,0]=>19
[1,1,0,0,1,1,1,0,0,1,0,0]=>19
[1,1,0,0,1,1,1,0,1,0,0,0]=>18
[1,1,0,0,1,1,1,1,0,0,0,0]=>24
[1,1,0,1,0,0,1,0,1,0,1,0]=>10
[1,1,0,1,0,0,1,0,1,1,0,0]=>15
[1,1,0,1,0,0,1,1,0,0,1,0]=>15
[1,1,0,1,0,0,1,1,0,1,0,0]=>9
[1,1,0,1,0,0,1,1,1,0,0,0]=>18
[1,1,0,1,0,1,0,0,1,0,1,0]=>10
[1,1,0,1,0,1,0,0,1,1,0,0]=>8
[1,1,0,1,0,1,0,1,0,0,1,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,0]=>1
[1,1,0,1,0,1,0,1,1,0,0,0]=>5
[1,1,0,1,0,1,1,0,0,0,1,0]=>13
[1,1,0,1,0,1,1,0,0,1,0,0]=>5
[1,1,0,1,0,1,1,0,1,0,0,0]=>10
[1,1,0,1,0,1,1,1,0,0,0,0]=>8
[1,1,0,1,1,0,0,0,1,0,1,0]=>15
[1,1,0,1,1,0,0,0,1,1,0,0]=>19
[1,1,0,1,1,0,0,1,0,0,1,0]=>14
[1,1,0,1,1,0,0,1,0,1,0,0]=>5
[1,1,0,1,1,0,0,1,1,0,0,0]=>13
[1,1,0,1,1,0,1,0,0,0,1,0]=>15
[1,1,0,1,1,0,1,0,0,1,0,0]=>10
[1,1,0,1,1,0,1,0,1,0,0,0]=>10
[1,1,0,1,1,0,1,1,0,0,0,0]=>15
[1,1,0,1,1,1,0,0,0,0,1,0]=>19
[1,1,0,1,1,1,0,0,0,1,0,0]=>8
[1,1,0,1,1,1,0,0,1,0,0,0]=>15
[1,1,0,1,1,1,0,1,0,0,0,0]=>9
[1,1,0,1,1,1,1,0,0,0,0,0]=>18
[1,1,1,0,0,0,1,0,1,0,1,0]=>8
[1,1,1,0,0,0,1,0,1,1,0,0]=>19
[1,1,1,0,0,0,1,1,0,0,1,0]=>19
[1,1,1,0,0,0,1,1,0,1,0,0]=>18
[1,1,1,0,0,0,1,1,1,0,0,0]=>24
[1,1,1,0,0,1,0,0,1,0,1,0]=>15
[1,1,1,0,0,1,0,0,1,1,0,0]=>19
[1,1,1,0,0,1,0,1,0,0,1,0]=>13
[1,1,1,0,0,1,0,1,0,1,0,0]=>5
[1,1,1,0,0,1,0,1,1,0,0,0]=>14
[1,1,1,0,0,1,1,0,0,0,1,0]=>20
[1,1,1,0,0,1,1,0,0,1,0,0]=>13
[1,1,1,0,0,1,1,0,1,0,0,0]=>15
[1,1,1,0,0,1,1,1,0,0,0,0]=>19
[1,1,1,0,1,0,0,0,1,0,1,0]=>9
[1,1,1,0,1,0,0,0,1,1,0,0]=>18
[1,1,1,0,1,0,0,1,0,0,1,0]=>15
[1,1,1,0,1,0,0,1,0,1,0,0]=>10
[1,1,1,0,1,0,0,1,1,0,0,0]=>15
[1,1,1,0,1,0,1,0,0,0,1,0]=>8
[1,1,1,0,1,0,1,0,0,1,0,0]=>10
[1,1,1,0,1,0,1,0,1,0,0,0]=>5
[1,1,1,0,1,0,1,1,0,0,0,0]=>13
[1,1,1,0,1,1,0,0,0,0,1,0]=>19
[1,1,1,0,1,1,0,0,0,1,0,0]=>15
[1,1,1,0,1,1,0,0,1,0,0,0]=>14
[1,1,1,0,1,1,0,1,0,0,0,0]=>15
[1,1,1,0,1,1,1,0,0,0,0,0]=>19
[1,1,1,1,0,0,0,0,1,0,1,0]=>18
[1,1,1,1,0,0,0,0,1,1,0,0]=>24
[1,1,1,1,0,0,0,1,0,0,1,0]=>19
[1,1,1,1,0,0,0,1,0,1,0,0]=>8
[1,1,1,1,0,0,0,1,1,0,0,0]=>19
[1,1,1,1,0,0,1,0,0,0,1,0]=>19
[1,1,1,1,0,0,1,0,0,1,0,0]=>15
[1,1,1,1,0,0,1,0,1,0,0,0]=>13
[1,1,1,1,0,0,1,1,0,0,0,0]=>20
[1,1,1,1,0,1,0,0,0,0,1,0]=>18
[1,1,1,1,0,1,0,0,0,1,0,0]=>9
[1,1,1,1,0,1,0,0,1,0,0,0]=>15
[1,1,1,1,0,1,0,1,0,0,0,0]=>8
[1,1,1,1,0,1,1,0,0,0,0,0]=>19
[1,1,1,1,1,0,0,0,0,0,1,0]=>24
[1,1,1,1,1,0,0,0,0,1,0,0]=>18
[1,1,1,1,1,0,0,0,1,0,0,0]=>19
[1,1,1,1,1,0,0,1,0,0,0,0]=>19
[1,1,1,1,1,0,1,0,0,0,0,0]=>18
[1,1,1,1,1,1,0,0,0,0,0,0]=>24
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>6
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>6
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>15
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>10
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>6
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>19
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>15
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>20
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>24
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>10
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>24
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>12
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>28
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>6
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>21
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>19
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>29
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>30
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>15
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>29
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>20
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>15
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>29
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>24
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>32
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>27
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>41
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>10
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>30
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>24
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>29
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>36
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>12
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>27
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>12
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>33
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>28
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>41
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>33
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>38
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>42
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>6
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>21
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>21
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>32
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>32
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>19
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>40
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>29
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>24
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>43
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>30
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>44
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>33
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>53
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>15
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>32
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>29
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>27
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>41
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>20
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>24
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>15
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>19
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>29
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>21
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>29
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>30
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>24
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>44
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>32
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>21
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>40
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>27
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>32
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>24
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>44
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>41
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>32
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>43
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>33
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>53
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>10
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>32
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>30
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>41
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>44
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>24
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>43
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>29
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>19
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>40
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>36
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>40
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>36
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>54
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>12
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>33
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>27
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>29
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>36
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>12
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>24
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>10
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>30
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>33
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>43
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>32
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>41
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>44
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>28
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>53
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>41
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>30
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>54
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>33
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>44
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>30
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>54
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>38
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>33
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>41
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>28
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>53
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>42
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>53
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>44
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>53
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>42
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>66
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>6
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>19
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>21
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>29
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>30
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>21
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>40
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>32
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>24
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>44
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>32
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>43
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>33
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>53
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>19
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>40
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>40
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>36
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>54
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>29
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>36
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>24
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>10
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>30
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>43
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>32
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>41
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>44
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>30
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>54
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>44
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>30
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>54
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>33
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>41
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>28
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>53
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>53
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>44
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>53
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>42
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>66
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>15
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>29
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>32
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>27
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>41
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>29
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>36
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>27
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>12
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>33
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>41
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>33
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>38
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>42
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>20
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>24
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>24
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>12
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>28
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>15
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>10
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>6
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>6
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>19
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>6
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>15
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>10
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>29
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>30
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>21
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>6
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>19
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>29
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>15
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>20
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>24
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>30
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>10
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>24
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>12
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>28
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>24
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>43
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>44
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>33
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>53
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>32
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>32
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>21
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>6
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>21
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>40
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>19
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>29
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>30
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>27
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>41
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>32
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>15
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>29
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>24
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>20
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>15
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>29
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>44
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>24
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>32
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>27
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>41
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>41
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>44
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>32
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>10
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>30
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>43
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>24
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>29
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>36
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>33
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>12
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>27
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>12
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>33
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>53
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>28
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>41
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>33
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>38
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>42
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>10
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>30
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>32
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>41
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>44
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>30
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>54
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>41
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>28
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>53
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>44
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>53
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>42
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>66
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>24
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>44
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>43
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>33
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>53
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>29
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>30
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>19
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>6
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>21
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>40
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>21
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>32
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>32
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>36
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>54
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>40
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>19
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>40
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>36
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>29
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>24
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>43
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>54
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>30
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>44
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>33
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>53
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>12
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>33
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>33
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>38
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>42
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>27
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>41
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>29
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>15
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>32
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>36
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>29
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>27
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>41
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>12
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>28
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>24
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>20
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>24
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>10
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>15
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>6
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>19
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>30
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>29
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>21
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>29
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>33
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>53
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>43
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>24
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>44
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>32
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>32
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>21
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>40
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>41
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>27
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>32
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>24
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>44
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>44
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>41
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>32
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>43
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>33
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>53
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>28
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>53
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>53
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>42
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>66
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>41
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>44
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>30
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>10
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>32
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>54
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>30
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>41
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>44
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>33
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>53
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>44
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>24
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>43
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>30
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>29
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>19
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>40
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>54
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>36
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>40
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>36
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>54
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>38
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>42
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>33
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>12
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>33
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>41
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>27
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>29
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>36
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>28
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>12
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>24
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>10
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>30
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>53
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>33
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>43
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>32
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>41
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>44
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>42
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>66
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>53
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>28
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>53
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>44
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>41
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>30
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>54
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>53
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>33
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>44
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>30
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>54
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>42
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>38
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>33
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>41
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>28
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>53
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>66
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>42
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>53
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>44
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>53
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>42
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>66
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>7
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>21
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>12
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>7
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>26
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>21
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>35
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>35
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>12
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>35
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>15
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>40
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>29
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>26
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>49
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>43
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>21
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>49
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>35
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>35
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>54
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>35
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>60
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>42
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>74
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>12
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>43
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>35
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>54
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>56
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>15
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>42
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>16
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>50
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>40
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>74
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>50
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>68
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>64
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>30
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>29
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>56
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>47
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>26
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>67
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>49
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>54
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>78
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>43
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>81
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>51
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>95
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>21
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>56
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>49
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>60
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>75
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>35
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>54
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>35
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>21
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>49
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>54
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>56
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>60
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>75
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>35
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>81
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>60
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>56
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>85
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>42
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>69
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>42
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>90
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>74
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>82
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>87
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>81
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>109
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>12
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>47
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>43
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>75
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>68
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>35
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>78
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>54
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>49
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>82
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>56
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>85
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>63
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>109
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>15
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>51
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>42
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>60
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>63
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>16
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>42
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>15
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>51
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>50
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>87
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>54
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>81
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>75
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>40
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>95
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>74
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>75
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>109
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>50
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>90
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>51
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>105
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>68
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>81
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>81
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>68
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>106
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>64
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>109
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>75
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>106
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>72
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>130
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>29
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>30
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>56
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>47
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>29
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>73
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>56
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>60
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>87
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>47
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>87
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>54
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>102
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>26
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>73
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>67
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>85
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>102
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>49
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>82
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>54
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>35
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>78
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>78
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>87
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>87
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>113
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>43
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>104
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>81
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>81
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>117
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>51
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>90
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>50
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>111
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>95
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>114
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>110
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>106
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>139
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>21
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>56
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>56
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>69
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>82
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>49
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>85
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>60
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>42
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>87
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>75
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>90
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>81
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>109
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>35
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>60
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>54
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>42
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>74
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>35
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>35
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>21
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>26
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>49
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>29
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>49
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>43
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>54
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>81
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>56
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>30
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>67
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>60
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>56
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>54
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>81
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>75
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>47
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>78
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>51
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>95
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>35
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>87
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>81
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>90
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>114
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>60
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>87
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>56
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>29
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>73
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>85
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>73
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>82
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>104
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>42
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>90
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>69
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>56
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>85
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>42
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>60
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>35
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>81
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>90
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>87
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>87
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>90
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>114
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>74
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>114
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>82
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>47
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>102
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>87
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>87
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>78
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>117
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>81
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>54
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>87
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>50
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>110
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>109
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>102
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>113
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>111
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>106
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>139
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>12
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>47
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>47
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>82
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>72
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>43
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>102
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>75
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>74
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>113
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>68
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>114
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>75
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>137
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>35
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>87
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>78
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>87
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>113
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>54
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>78
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>49
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>26
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>67
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>82
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>73
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>85
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>102
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>56
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>117
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>85
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>67
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>112
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>63
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>85
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>56
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>117
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>109
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>102
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>117
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>105
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>144
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>15
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>54
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>51
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>81
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>75
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>42
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>87
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>60
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>49
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>85
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>63
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>82
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>63
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>109
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>16
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>50
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>42
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>54
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>56
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>15
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>35
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>12
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>43
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>51
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>78
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>47
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>75
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>68
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>50
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>110
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>87
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>78
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>117
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>54
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>87
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>47
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>102
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>81
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>87
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>82
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>74
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>114
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>75
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>113
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>72
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>113
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>75
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>137
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>40
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>102
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>95
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>109
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>137
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>74
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>113
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>75
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>43
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>102
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>109
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>104
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>109
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>140
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>50
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>111
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>90
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>81
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>117
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>51
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>81
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>43
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>104
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>105
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>117
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>102
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>109
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>140
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>68
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>106
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>81
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>51
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>105
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>81
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>90
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>75
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>109
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>68
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>50
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>74
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>40
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>95
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>106
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>111
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>113
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>102
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>109
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>137
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>64
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>139
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>109
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>95
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>144
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>75
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>114
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>68
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>140
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>106
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>110
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>114
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>95
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>144
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>72
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>106
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>109
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>64
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>139
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>130
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>139
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>137
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>137
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>139
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>130
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>174
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>26
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>29
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>49
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>43
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>30
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>67
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>56
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>54
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>81
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>47
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>78
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>51
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>95
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>29
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>73
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>73
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>82
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>104
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>56
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>85
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>60
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>35
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>81
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>87
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>87
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>90
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>114
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>47
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>102
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>87
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>78
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>117
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>54
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>87
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>50
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>110
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>102
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>113
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>111
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>106
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>139
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>26
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>67
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>73
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>85
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>102
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>67
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>112
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>85
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>56
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>117
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>102
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>117
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>105
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>144
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>49
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>85
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>82
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>63
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>109
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>54
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>56
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>35
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>12
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>43
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>78
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>47
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>75
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>68
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>78
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>117
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>87
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>47
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>102
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>87
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>82
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>74
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>114
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>113
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>72
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>113
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>75
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>137
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>43
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>102
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>104
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>109
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>140
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>81
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>117
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>81
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>43
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>104
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>117
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>102
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>109
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>140
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>51
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>105
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>90
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>75
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>109
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>50
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>74
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>40
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>95
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>111
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>113
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>102
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>109
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>137
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>95
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>144
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>114
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>68
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>140
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>110
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>114
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>95
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>144
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>106
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>75
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>109
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>64
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>139
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>139
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>137
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>137
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>139
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>130
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>174
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>21
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>49
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>56
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>60
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>75
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>56
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>85
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>69
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>42
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>90
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>82
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>87
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>81
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>109
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Description
The number of meanders with top half given by the noncrossing matching corresponding to the Dyck path.
Code
def to_noncrossing_matching(D): return PerfectMatching([(a+1, b) for a,b in D.tunnels()]) def length_of_first_loop(D1, D2): m1 = to_noncrossing_matching(D1).to_permutation() m2 = to_noncrossing_matching(D2).to_permutation() n = len(D1) i = 1 l = 0 while True: i = m2(m1(i)) l += 2 if i == 1: break return l @cached_function def statistic(D): """ The number of meanders with top half D. """ D = DyckWord(D) n = D.semilength() return sum(1 for E in DyckWords(n) if length_of_first_loop(D, E) == 2*n)
Created
Oct 31, 2023 at 16:24 by Martin Rubey
Updated
Oct 31, 2023 at 16:24 by Martin Rubey
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