Identifier
- St000979: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[]=>0
[1,0]=>0
[1,0,1,0]=>0
[1,1,0,0]=>2
[1,0,1,0,1,0]=>0
[1,0,1,1,0,0]=>4
[1,1,0,0,1,0]=>2
[1,1,0,1,0,0]=>3
[1,1,1,0,0,0]=>6
[1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,0]=>6
[1,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,0]=>5
[1,0,1,1,1,0,0,0]=>10
[1,1,0,0,1,0,1,0]=>2
[1,1,0,0,1,1,0,0]=>8
[1,1,0,1,0,0,1,0]=>3
[1,1,0,1,0,1,0,0]=>4
[1,1,0,1,1,0,0,0]=>9
[1,1,1,0,0,0,1,0]=>6
[1,1,1,0,0,1,0,0]=>7
[1,1,1,0,1,0,0,0]=>8
[1,1,1,1,0,0,0,0]=>12
[1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,0]=>8
[1,0,1,0,1,1,0,0,1,0]=>6
[1,0,1,0,1,1,0,1,0,0]=>7
[1,0,1,0,1,1,1,0,0,0]=>14
[1,0,1,1,0,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,0]=>12
[1,0,1,1,0,1,0,0,1,0]=>5
[1,0,1,1,0,1,0,1,0,0]=>6
[1,0,1,1,0,1,1,0,0,0]=>13
[1,0,1,1,1,0,0,0,1,0]=>10
[1,0,1,1,1,0,0,1,0,0]=>11
[1,0,1,1,1,0,1,0,0,0]=>12
[1,0,1,1,1,1,0,0,0,0]=>18
[1,1,0,0,1,0,1,0,1,0]=>2
[1,1,0,0,1,0,1,1,0,0]=>10
[1,1,0,0,1,1,0,0,1,0]=>8
[1,1,0,0,1,1,0,1,0,0]=>9
[1,1,0,0,1,1,1,0,0,0]=>16
[1,1,0,1,0,0,1,0,1,0]=>3
[1,1,0,1,0,0,1,1,0,0]=>11
[1,1,0,1,0,1,0,0,1,0]=>4
[1,1,0,1,0,1,0,1,0,0]=>5
[1,1,0,1,0,1,1,0,0,0]=>12
[1,1,0,1,1,0,0,0,1,0]=>9
[1,1,0,1,1,0,0,1,0,0]=>10
[1,1,0,1,1,0,1,0,0,0]=>11
[1,1,0,1,1,1,0,0,0,0]=>17
[1,1,1,0,0,0,1,0,1,0]=>6
[1,1,1,0,0,0,1,1,0,0]=>14
[1,1,1,0,0,1,0,0,1,0]=>7
[1,1,1,0,0,1,0,1,0,0]=>8
[1,1,1,0,0,1,1,0,0,0]=>15
[1,1,1,0,1,0,0,0,1,0]=>8
[1,1,1,0,1,0,0,1,0,0]=>9
[1,1,1,0,1,0,1,0,0,0]=>10
[1,1,1,0,1,1,0,0,0,0]=>16
[1,1,1,1,0,0,0,0,1,0]=>12
[1,1,1,1,0,0,0,1,0,0]=>13
[1,1,1,1,0,0,1,0,0,0]=>14
[1,1,1,1,0,1,0,0,0,0]=>15
[1,1,1,1,1,0,0,0,0,0]=>20
[1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,1,0,0]=>10
[1,0,1,0,1,0,1,1,0,0,1,0]=>8
[1,0,1,0,1,0,1,1,0,1,0,0]=>9
[1,0,1,0,1,0,1,1,1,0,0,0]=>18
[1,0,1,0,1,1,0,0,1,0,1,0]=>6
[1,0,1,0,1,1,0,0,1,1,0,0]=>16
[1,0,1,0,1,1,0,1,0,0,1,0]=>7
[1,0,1,0,1,1,0,1,0,1,0,0]=>8
[1,0,1,0,1,1,0,1,1,0,0,0]=>17
[1,0,1,0,1,1,1,0,0,0,1,0]=>14
[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]=>16
[1,0,1,0,1,1,1,1,0,0,0,0]=>24
[1,0,1,1,0,0,1,0,1,0,1,0]=>4
[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]=>12
[1,0,1,1,0,0,1,1,0,1,0,0]=>13
[1,0,1,1,0,0,1,1,1,0,0,0]=>22
[1,0,1,1,0,1,0,0,1,0,1,0]=>5
[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]=>6
[1,0,1,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,1,0,1,0,1,1,0,0,0]=>16
[1,0,1,1,0,1,1,0,0,0,1,0]=>13
[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]=>23
[1,0,1,1,1,0,0,0,1,0,1,0]=>10
[1,0,1,1,1,0,0,0,1,1,0,0]=>20
[1,0,1,1,1,0,0,1,0,0,1,0]=>11
[1,0,1,1,1,0,0,1,0,1,0,0]=>12
[1,0,1,1,1,0,0,1,1,0,0,0]=>21
[1,0,1,1,1,0,1,0,0,0,1,0]=>12
[1,0,1,1,1,0,1,0,0,1,0,0]=>13
[1,0,1,1,1,0,1,0,1,0,0,0]=>14
[1,0,1,1,1,0,1,1,0,0,0,0]=>22
[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]=>20
[1,0,1,1,1,1,0,1,0,0,0,0]=>21
[1,0,1,1,1,1,1,0,0,0,0,0]=>28
[1,1,0,0,1,0,1,0,1,0,1,0]=>2
[1,1,0,0,1,0,1,0,1,1,0,0]=>12
[1,1,0,0,1,0,1,1,0,0,1,0]=>10
[1,1,0,0,1,0,1,1,0,1,0,0]=>11
[1,1,0,0,1,0,1,1,1,0,0,0]=>20
[1,1,0,0,1,1,0,0,1,0,1,0]=>8
[1,1,0,0,1,1,0,0,1,1,0,0]=>18
[1,1,0,0,1,1,0,1,0,0,1,0]=>9
[1,1,0,0,1,1,0,1,0,1,0,0]=>10
[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]=>16
[1,1,0,0,1,1,1,0,0,1,0,0]=>17
[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]=>26
[1,1,0,1,0,0,1,0,1,0,1,0]=>3
[1,1,0,1,0,0,1,0,1,1,0,0]=>13
[1,1,0,1,0,0,1,1,0,0,1,0]=>11
[1,1,0,1,0,0,1,1,0,1,0,0]=>12
[1,1,0,1,0,0,1,1,1,0,0,0]=>21
[1,1,0,1,0,1,0,0,1,0,1,0]=>4
[1,1,0,1,0,1,0,0,1,1,0,0]=>14
[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]=>6
[1,1,0,1,0,1,0,1,1,0,0,0]=>15
[1,1,0,1,0,1,1,0,0,0,1,0]=>12
[1,1,0,1,0,1,1,0,0,1,0,0]=>13
[1,1,0,1,0,1,1,0,1,0,0,0]=>14
[1,1,0,1,0,1,1,1,0,0,0,0]=>22
[1,1,0,1,1,0,0,0,1,0,1,0]=>9
[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]=>10
[1,1,0,1,1,0,0,1,0,1,0,0]=>11
[1,1,0,1,1,0,0,1,1,0,0,0]=>20
[1,1,0,1,1,0,1,0,0,0,1,0]=>11
[1,1,0,1,1,0,1,0,0,1,0,0]=>12
[1,1,0,1,1,0,1,0,1,0,0,0]=>13
[1,1,0,1,1,0,1,1,0,0,0,0]=>21
[1,1,0,1,1,1,0,0,0,0,1,0]=>17
[1,1,0,1,1,1,0,0,0,1,0,0]=>18
[1,1,0,1,1,1,0,0,1,0,0,0]=>19
[1,1,0,1,1,1,0,1,0,0,0,0]=>20
[1,1,0,1,1,1,1,0,0,0,0,0]=>27
[1,1,1,0,0,0,1,0,1,0,1,0]=>6
[1,1,1,0,0,0,1,0,1,1,0,0]=>16
[1,1,1,0,0,0,1,1,0,0,1,0]=>14
[1,1,1,0,0,0,1,1,0,1,0,0]=>15
[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]=>7
[1,1,1,0,0,1,0,0,1,1,0,0]=>17
[1,1,1,0,0,1,0,1,0,0,1,0]=>8
[1,1,1,0,0,1,0,1,0,1,0,0]=>9
[1,1,1,0,0,1,0,1,1,0,0,0]=>18
[1,1,1,0,0,1,1,0,0,0,1,0]=>15
[1,1,1,0,0,1,1,0,0,1,0,0]=>16
[1,1,1,0,0,1,1,0,1,0,0,0]=>17
[1,1,1,0,0,1,1,1,0,0,0,0]=>25
[1,1,1,0,1,0,0,0,1,0,1,0]=>8
[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]=>9
[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]=>19
[1,1,1,0,1,0,1,0,0,0,1,0]=>10
[1,1,1,0,1,0,1,0,0,1,0,0]=>11
[1,1,1,0,1,0,1,0,1,0,0,0]=>12
[1,1,1,0,1,0,1,1,0,0,0,0]=>20
[1,1,1,0,1,1,0,0,0,0,1,0]=>16
[1,1,1,0,1,1,0,0,0,1,0,0]=>17
[1,1,1,0,1,1,0,0,1,0,0,0]=>18
[1,1,1,0,1,1,0,1,0,0,0,0]=>19
[1,1,1,0,1,1,1,0,0,0,0,0]=>26
[1,1,1,1,0,0,0,0,1,0,1,0]=>12
[1,1,1,1,0,0,0,0,1,1,0,0]=>22
[1,1,1,1,0,0,0,1,0,0,1,0]=>13
[1,1,1,1,0,0,0,1,0,1,0,0]=>14
[1,1,1,1,0,0,0,1,1,0,0,0]=>23
[1,1,1,1,0,0,1,0,0,0,1,0]=>14
[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]=>16
[1,1,1,1,0,0,1,1,0,0,0,0]=>24
[1,1,1,1,0,1,0,0,0,0,1,0]=>15
[1,1,1,1,0,1,0,0,0,1,0,0]=>16
[1,1,1,1,0,1,0,0,1,0,0,0]=>17
[1,1,1,1,0,1,0,1,0,0,0,0]=>18
[1,1,1,1,0,1,1,0,0,0,0,0]=>25
[1,1,1,1,1,0,0,0,0,0,1,0]=>20
[1,1,1,1,1,0,0,0,0,1,0,0]=>21
[1,1,1,1,1,0,0,0,1,0,0,0]=>22
[1,1,1,1,1,0,0,1,0,0,0,0]=>23
[1,1,1,1,1,0,1,0,0,0,0,0]=>24
[1,1,1,1,1,1,0,0,0,0,0,0]=>30
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>12
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>10
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>11
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>22
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>8
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>20
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>9
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>10
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>21
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>18
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>19
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>20
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>30
[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]=>18
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>16
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>17
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>28
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>7
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>19
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>8
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>9
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>20
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>17
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>18
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>19
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>29
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>14
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>26
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>15
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>16
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>27
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>16
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>17
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>18
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>28
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>24
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>25
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>26
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>27
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>36
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>16
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>14
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>15
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>26
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>12
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>24
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>13
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>14
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>25
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>22
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>23
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>24
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>34
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>5
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>17
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>15
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>16
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>27
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>6
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>18
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>7
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>8
[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]=>16
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>17
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>18
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>28
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>13
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>25
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>14
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>15
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>26
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>15
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>16
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>17
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>27
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>23
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>24
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>25
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>26
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>35
[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]=>22
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>20
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>21
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>32
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>11
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>23
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>12
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>13
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>24
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>21
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>22
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>23
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>33
[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]=>24
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>13
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>14
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>25
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>14
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>15
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>16
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>26
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>22
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>23
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>24
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>25
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>34
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>18
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>30
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>19
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>20
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>31
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>20
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>21
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>22
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>32
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>21
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>22
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>23
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>24
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>33
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>28
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>29
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>30
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>31
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>32
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>40
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>14
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>12
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>13
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>24
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>10
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>22
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>11
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>12
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>23
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>20
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>21
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>22
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>32
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>8
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>20
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>18
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>19
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>30
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>9
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>21
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>10
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>11
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>22
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>19
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>20
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>21
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>31
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>16
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>28
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>17
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>18
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>29
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>18
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>19
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>20
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>30
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>26
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>27
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>28
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>29
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>38
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>3
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>15
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>13
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>14
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>25
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>11
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>23
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>12
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>13
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>24
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>21
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>22
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>23
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>33
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>4
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>16
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>14
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>15
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>26
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>5
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>17
[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]=>7
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>18
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>15
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>16
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>17
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>27
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>12
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>24
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>13
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>14
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>25
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>14
[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]=>16
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>26
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>22
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>23
[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]=>25
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>34
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>9
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>21
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>19
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>20
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>31
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>10
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>22
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>11
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>12
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>23
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>20
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>21
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>22
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>32
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>11
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>23
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>12
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>13
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>24
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>13
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>14
[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]=>25
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>21
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>22
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>23
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>24
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>33
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>17
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>29
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>18
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>19
[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]=>19
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>20
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>21
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>31
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>20
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>21
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>22
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>23
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>32
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>27
[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]=>29
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>30
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>31
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>39
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>6
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>18
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>16
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>17
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>28
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>14
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>26
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>15
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>16
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>27
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>24
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>25
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>26
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>36
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>7
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>19
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>17
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>18
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>29
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>8
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>20
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>9
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>10
[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]=>18
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>19
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>20
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>30
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>15
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>27
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>16
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>17
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>28
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>17
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>18
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>19
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>29
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>25
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>26
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>27
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>28
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>37
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>8
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>20
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>18
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>19
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>30
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>9
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>21
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>10
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>11
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>22
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>19
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>20
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>21
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>31
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>10
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>22
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>11
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>12
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>23
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>12
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>13
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>14
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>24
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>20
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>21
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>22
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>23
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>32
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>16
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>28
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>17
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>18
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>29
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>18
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>19
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>20
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>30
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>19
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>20
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>21
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>22
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>31
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>26
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>27
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>28
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>29
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>30
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>38
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>12
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>24
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>22
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>23
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>34
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>13
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>25
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>14
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>15
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>26
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>23
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>24
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>25
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>35
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>14
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>26
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>15
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>16
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>27
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>16
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>17
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>18
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>28
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>24
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>25
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>26
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>27
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>36
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>15
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>27
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>16
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>17
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>28
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>17
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>18
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>19
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>29
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>18
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>19
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>20
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>21
[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]=>25
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>26
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>27
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>28
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>29
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>37
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>20
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>32
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>21
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>22
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>33
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>22
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>23
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>24
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>34
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>23
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>24
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>25
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>26
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>35
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>24
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>25
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>26
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>27
[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]=>36
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>30
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>31
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>32
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>33
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>34
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>35
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>42
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>14
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>12
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>13
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>26
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>10
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>24
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>11
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>12
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>25
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>22
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>23
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>24
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>36
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>8
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>22
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>20
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>21
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>34
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>9
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>23
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>10
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>11
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>24
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>21
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>22
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>23
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>35
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>18
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>32
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>19
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>20
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>33
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>20
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>21
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>22
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>34
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>30
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>31
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>32
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>33
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>44
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>6
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>20
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>18
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>19
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>32
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>16
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>30
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>17
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>18
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>31
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>28
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>29
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>30
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>42
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>21
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>19
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>20
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>33
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>8
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>22
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>9
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>10
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>23
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>20
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>21
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>22
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>34
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>17
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>31
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>18
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>19
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>32
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>19
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>20
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>21
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>33
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>29
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>30
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>31
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>32
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>43
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>14
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>28
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>26
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>27
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>40
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>15
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>29
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>16
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>17
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>30
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>27
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>28
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>29
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>41
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>16
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>30
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>17
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>18
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>31
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>18
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>19
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>20
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>32
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>28
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>29
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>30
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>31
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>42
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>24
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>38
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>25
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>26
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>39
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>26
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>27
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>28
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>40
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>27
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>28
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>29
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>30
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>41
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>36
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>37
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>38
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>39
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>40
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>50
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>18
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>16
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>17
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>30
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>14
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>28
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>15
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>16
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>29
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>26
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>27
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>28
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>40
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>12
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>26
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>24
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>25
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>38
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>13
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>27
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>14
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>15
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>28
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>25
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>26
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>27
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>39
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>22
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>36
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>23
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>24
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>37
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>24
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>25
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>26
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>38
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>34
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>35
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>36
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>37
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>48
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>5
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>19
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>17
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>18
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>31
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>15
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>29
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>16
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>17
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>30
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>27
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>28
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>29
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>41
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>6
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>20
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>18
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>19
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>32
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>7
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>21
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>8
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>9
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>22
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>19
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>20
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>21
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>33
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>16
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>30
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>17
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>18
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>31
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>18
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>19
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>20
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>32
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>28
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>29
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>30
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>31
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>42
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>13
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>27
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>25
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>26
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>39
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>14
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>28
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>15
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>16
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>29
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>26
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>27
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>28
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>40
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>15
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>29
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>16
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>17
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>30
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>17
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>18
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>19
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>31
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>27
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>28
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>29
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>30
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>41
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>23
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>37
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>24
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>25
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>38
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>25
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>26
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>27
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>39
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>26
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>27
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>28
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>29
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>35
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>36
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>37
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>38
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>39
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>49
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>10
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>24
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>22
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>23
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>36
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>20
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>34
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>21
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>22
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>35
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>32
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>33
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>34
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>46
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>11
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>25
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>23
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>24
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>37
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>12
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>26
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>13
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>14
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>27
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>24
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>25
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>26
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>38
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>21
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>35
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>22
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>23
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>36
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>23
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>24
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>25
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>37
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>33
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>34
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>35
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>36
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>47
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>12
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>26
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>24
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>25
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>38
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>13
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>27
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>14
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>15
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>28
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>25
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>26
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>27
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>39
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>14
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>28
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>15
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>16
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>29
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>16
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>17
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>18
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>30
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>26
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>27
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>28
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>29
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>40
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>22
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>36
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>23
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>24
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>37
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>24
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>25
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>26
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>38
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>25
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>26
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>27
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>28
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>39
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>34
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>35
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>36
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>37
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>38
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>48
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>18
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>32
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>30
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>31
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>44
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>19
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>33
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>20
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>21
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>34
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>31
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>32
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>33
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>45
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>20
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>34
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>21
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>22
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>35
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>22
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>23
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>24
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>36
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>32
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>33
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>34
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>35
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>46
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>21
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>35
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>22
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>23
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>36
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>23
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>24
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>25
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>37
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>24
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>25
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>26
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>27
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>38
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>33
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>34
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>35
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>36
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>37
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>47
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>28
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>42
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>29
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>30
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>43
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>30
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>31
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>32
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>44
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>31
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>32
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>33
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>34
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>45
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>32
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>33
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>34
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>35
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>36
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>46
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>40
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>41
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>42
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>43
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>44
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>45
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>54
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>16
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>14
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>15
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>28
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>12
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>26
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>13
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>14
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>27
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>24
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>25
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>26
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>38
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>10
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>24
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>22
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>23
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>36
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>11
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>25
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>12
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>13
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>26
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>23
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>24
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>25
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>37
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>20
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>34
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>21
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>22
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>35
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>22
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>23
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>24
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>36
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>32
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>33
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>34
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>35
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>46
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>8
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>22
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>20
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>21
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>34
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>18
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>32
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>19
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>20
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>33
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>30
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>31
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>32
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>44
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>9
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>23
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>21
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>22
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>35
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>10
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>24
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>11
[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]=>25
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>22
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>23
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>24
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>36
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>19
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>33
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>20
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>21
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>34
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>21
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>22
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>23
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>35
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>31
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>32
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>33
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>34
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>45
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>16
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>30
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>28
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>29
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>42
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>17
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>31
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>18
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>19
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>32
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>29
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>30
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>31
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>43
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>18
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>32
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>19
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>20
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>33
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>20
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>21
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>22
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>34
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>30
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>31
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>32
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>33
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>44
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>26
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>40
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>27
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>28
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>41
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>28
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>29
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>30
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>42
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>29
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>30
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>31
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>32
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>43
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>38
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>39
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>40
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>41
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>42
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>52
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>3
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>17
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>15
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>16
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>29
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>13
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>27
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>14
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>15
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>28
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>25
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>26
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>27
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>39
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>11
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>26
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>24
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>5
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>19
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>6
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>20
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>7
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>8
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>21
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>19
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>20
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>32
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>17
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>19
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>12
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>15
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>9
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>13
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>24
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>24
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>47
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>22
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>36
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>46
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>41
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>44
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>34
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>35
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>45
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>41
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>42
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>43
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>44
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>53
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>6
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>20
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>19
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>36
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>9
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>10
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>11
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>18
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>51
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>32
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>32
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>44
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>22
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>12
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>21
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>10
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>13
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>12
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>26
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>14
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>15
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>16
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>28
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>26
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>27
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>38
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>24
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>36
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>25
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>26
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>37
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>34
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>35
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>36
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>46
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>32
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>22
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>34
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>32
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>33
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>44
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>20
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>23
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>35
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>24
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>25
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>36
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>33
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>34
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>35
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>45
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>40
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>30
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>42
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>31
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>32
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>43
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>32
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>33
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>34
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>44
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>38
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>39
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>40
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>41
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>42
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>43
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>52
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>36
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>36
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>48
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>20
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>32
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>30
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>31
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>42
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>28
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>40
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>29
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>30
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>41
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>38
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>39
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>40
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>50
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>18
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>21
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>33
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>31
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>32
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>43
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>32
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>22
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>34
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>23
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>24
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>35
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>30
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>32
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>33
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>34
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>44
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>39
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>29
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>41
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>30
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>31
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>42
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>30
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>31
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>32
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>33
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>43
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>37
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>38
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>39
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>40
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>41
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>42
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>51
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>36
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>26
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>38
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>34
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>36
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>37
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>48
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>37
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>27
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>39
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>28
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>29
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>35
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>36
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>37
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>38
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>39
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>49
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>38
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>28
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>40
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>28
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>29
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>30
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>41
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>28
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>29
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>30
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>31
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>32
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>42
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>36
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>37
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>38
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>39
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>40
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>41
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>50
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>44
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>45
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>33
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>34
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>46
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>33
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>34
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>35
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>36
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>47
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>34
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>35
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>36
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>37
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>38
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>48
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>35
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>36
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>37
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>38
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>39
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>40
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>49
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>42
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>43
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>44
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>45
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>46
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>47
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>48
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>56
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>56
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>70
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>48
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>60
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>47
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>49
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>59
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>61
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>50
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>48
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>58
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>68
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>54
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>51
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>57
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>66
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>50
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>52
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>56
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>58
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>9
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>24
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>22
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>23
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>14
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>61
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>49
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>60
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>57
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>58
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>59
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>69
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>12
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>13
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>17
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>18
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>68
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>51
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>56
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>41
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>50
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>54
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>55
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]=>47
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>48
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>49
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>64
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>57
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>58
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>62
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>63
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>72
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>16
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>15
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>27
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>28
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>50
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>20
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>64
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>10
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>40
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>56
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>18
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>16
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>52
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>6
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>7
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>8
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>9
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>17
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>18
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>19
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>19
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>16
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>14
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>11
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>25
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>23
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>13
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>40
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>32
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>31
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>33
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>39
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>41
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>72
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>88
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>63
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>77
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>64
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>76
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>74
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>86
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>70
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>66
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>74
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>84
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>18
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>17
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>10
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>13
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>66
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>54
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>20
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>6
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>90
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>9
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>27
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>79
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>19
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>87
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>73
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>64
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>80
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>20
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>50
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>48
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>47
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>46
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>44
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>46
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>44
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>44
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>42
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>44
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>42
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>41
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>40
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>38
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>45
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>43
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>42
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>41
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>39
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>42
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>40
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>40
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>38
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>41
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>39
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>38
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>37
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>35
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>42
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>40
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>39
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>38
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>36
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>38
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>36
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>36
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>34
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>36
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>34
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>33
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>32
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>30
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>18
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>71
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>76
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]=>63
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]=>65
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>75
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>77
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>45
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>55
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>90
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>108
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>20
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>19
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>11
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>98
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>91
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>99
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0]=>81
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>95
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>22
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>110
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>106
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>107
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>92
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>70
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>84
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>75
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>73
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>72
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>71
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>69
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>71
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>69
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>69
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>67
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>69
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>67
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>66
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>65
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>63
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>70
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>68
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>67
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>66
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>64
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>67
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>65
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>65
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>63
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>66
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>64
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>63
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>62
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>60
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>67
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>65
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>64
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>63
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>61
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>63
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>61
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>61
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>59
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>61
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>59
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>58
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>57
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>55
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>69
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>67
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>66
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>65
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>63
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>65
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>63
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>63
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>61
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>63
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>61
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>60
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>59
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>57
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>65
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>63
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>62
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>61
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>59
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>63
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>61
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>60
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>59
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>57
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>63
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>61
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>61
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>59
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>60
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>58
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>59
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>57
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>57
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>55
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>63
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>61
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>60
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>59
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>57
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>59
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>57
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>57
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>55
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>57
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>55
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>54
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>53
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>51
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>65
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>63
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>62
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>61
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>59
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>61
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>59
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>59
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>57
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>59
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>57
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>56
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>55
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>53
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>60
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>58
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>57
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>56
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>54
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>57
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>55
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>55
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>53
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>56
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>54
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>53
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>52
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>50
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>57
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>55
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>54
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>53
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>51
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>53
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>51
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>51
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>49
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>51
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>49
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>48
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>47
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>45
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>111
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>129
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Description
Half of MacMahon's equal index of a Dyck path.
This is half the sum of the positions of double (up- or down-)steps of a Dyck path, see [1, p. 135].
This is half the sum of the positions of double (up- or down-)steps of a Dyck path, see [1, p. 135].
References
[1] MacMahon, P. A. Combinatory analysis MathSciNet:0141605
Code
def statistic(p): return sum( i+1 for i in range(len(p)-1) if p[i] == p[i+1] ) / 2
Created
Sep 08, 2017 at 12:22 by Christian Stump
Updated
Mar 10, 2021 at 15:23 by Martin Rubey
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!