Identifier
- St001688: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[1,0]=>1
[1,0,1,0]=>2
[1,1,0,0]=>4
[1,0,1,0,1,0]=>3
[1,0,1,1,0,0]=>5
[1,1,0,0,1,0]=>5
[1,1,0,1,0,0]=>8
[1,1,1,0,0,0]=>9
[1,0,1,0,1,0,1,0]=>4
[1,0,1,0,1,1,0,0]=>6
[1,0,1,1,0,0,1,0]=>6
[1,0,1,1,0,1,0,0]=>9
[1,0,1,1,1,0,0,0]=>10
[1,1,0,0,1,0,1,0]=>6
[1,1,0,0,1,1,0,0]=>8
[1,1,0,1,0,0,1,0]=>9
[1,1,0,1,0,1,0,0]=>12
[1,1,0,1,1,0,0,0]=>13
[1,1,1,0,0,0,1,0]=>10
[1,1,1,0,0,1,0,0]=>13
[1,1,1,0,1,0,0,0]=>18
[1,1,1,1,0,0,0,0]=>16
[1,0,1,0,1,0,1,0,1,0]=>5
[1,0,1,0,1,0,1,1,0,0]=>7
[1,0,1,0,1,1,0,0,1,0]=>7
[1,0,1,0,1,1,0,1,0,0]=>10
[1,0,1,0,1,1,1,0,0,0]=>11
[1,0,1,1,0,0,1,0,1,0]=>7
[1,0,1,1,0,0,1,1,0,0]=>9
[1,0,1,1,0,1,0,0,1,0]=>10
[1,0,1,1,0,1,0,1,0,0]=>13
[1,0,1,1,0,1,1,0,0,0]=>14
[1,0,1,1,1,0,0,0,1,0]=>11
[1,0,1,1,1,0,0,1,0,0]=>14
[1,0,1,1,1,0,1,0,0,0]=>19
[1,0,1,1,1,1,0,0,0,0]=>17
[1,1,0,0,1,0,1,0,1,0]=>7
[1,1,0,0,1,0,1,1,0,0]=>9
[1,1,0,0,1,1,0,0,1,0]=>9
[1,1,0,0,1,1,0,1,0,0]=>12
[1,1,0,0,1,1,1,0,0,0]=>13
[1,1,0,1,0,0,1,0,1,0]=>10
[1,1,0,1,0,0,1,1,0,0]=>12
[1,1,0,1,0,1,0,0,1,0]=>13
[1,1,0,1,0,1,0,1,0,0]=>16
[1,1,0,1,0,1,1,0,0,0]=>17
[1,1,0,1,1,0,0,0,1,0]=>14
[1,1,0,1,1,0,0,1,0,0]=>17
[1,1,0,1,1,0,1,0,0,0]=>22
[1,1,0,1,1,1,0,0,0,0]=>20
[1,1,1,0,0,0,1,0,1,0]=>11
[1,1,1,0,0,0,1,1,0,0]=>13
[1,1,1,0,0,1,0,0,1,0]=>14
[1,1,1,0,0,1,0,1,0,0]=>17
[1,1,1,0,0,1,1,0,0,0]=>18
[1,1,1,0,1,0,0,0,1,0]=>19
[1,1,1,0,1,0,0,1,0,0]=>22
[1,1,1,0,1,0,1,0,0,0]=>27
[1,1,1,0,1,1,0,0,0,0]=>25
[1,1,1,1,0,0,0,0,1,0]=>17
[1,1,1,1,0,0,0,1,0,0]=>20
[1,1,1,1,0,0,1,0,0,0]=>25
[1,1,1,1,0,1,0,0,0,0]=>32
[1,1,1,1,1,0,0,0,0,0]=>25
[1,0,1,0,1,0,1,0,1,0,1,0]=>6
[1,0,1,0,1,0,1,0,1,1,0,0]=>8
[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]=>11
[1,0,1,0,1,0,1,1,1,0,0,0]=>12
[1,0,1,0,1,1,0,0,1,0,1,0]=>8
[1,0,1,0,1,1,0,0,1,1,0,0]=>10
[1,0,1,0,1,1,0,1,0,0,1,0]=>11
[1,0,1,0,1,1,0,1,0,1,0,0]=>14
[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]=>12
[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]=>20
[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]=>8
[1,0,1,1,0,0,1,0,1,1,0,0]=>10
[1,0,1,1,0,0,1,1,0,0,1,0]=>10
[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]=>14
[1,0,1,1,0,1,0,0,1,0,1,0]=>11
[1,0,1,1,0,1,0,0,1,1,0,0]=>13
[1,0,1,1,0,1,0,1,0,0,1,0]=>14
[1,0,1,1,0,1,0,1,0,1,0,0]=>17
[1,0,1,1,0,1,0,1,1,0,0,0]=>18
[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]=>18
[1,0,1,1,0,1,1,0,1,0,0,0]=>23
[1,0,1,1,0,1,1,1,0,0,0,0]=>21
[1,0,1,1,1,0,0,0,1,0,1,0]=>12
[1,0,1,1,1,0,0,0,1,1,0,0]=>14
[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]=>18
[1,0,1,1,1,0,0,1,1,0,0,0]=>19
[1,0,1,1,1,0,1,0,0,0,1,0]=>20
[1,0,1,1,1,0,1,0,0,1,0,0]=>23
[1,0,1,1,1,0,1,0,1,0,0,0]=>28
[1,0,1,1,1,0,1,1,0,0,0,0]=>26
[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]=>21
[1,0,1,1,1,1,0,0,1,0,0,0]=>26
[1,0,1,1,1,1,0,1,0,0,0,0]=>33
[1,0,1,1,1,1,1,0,0,0,0,0]=>26
[1,1,0,0,1,0,1,0,1,0,1,0]=>8
[1,1,0,0,1,0,1,0,1,1,0,0]=>10
[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]=>13
[1,1,0,0,1,0,1,1,1,0,0,0]=>14
[1,1,0,0,1,1,0,0,1,0,1,0]=>10
[1,1,0,0,1,1,0,0,1,1,0,0]=>12
[1,1,0,0,1,1,0,1,0,0,1,0]=>13
[1,1,0,0,1,1,0,1,0,1,0,0]=>16
[1,1,0,0,1,1,0,1,1,0,0,0]=>17
[1,1,0,0,1,1,1,0,0,0,1,0]=>14
[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]=>22
[1,1,0,0,1,1,1,1,0,0,0,0]=>20
[1,1,0,1,0,0,1,0,1,0,1,0]=>11
[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]=>13
[1,1,0,1,0,0,1,1,0,1,0,0]=>16
[1,1,0,1,0,0,1,1,1,0,0,0]=>17
[1,1,0,1,0,1,0,0,1,0,1,0]=>14
[1,1,0,1,0,1,0,0,1,1,0,0]=>16
[1,1,0,1,0,1,0,1,0,0,1,0]=>17
[1,1,0,1,0,1,0,1,0,1,0,0]=>20
[1,1,0,1,0,1,0,1,1,0,0,0]=>21
[1,1,0,1,0,1,1,0,0,0,1,0]=>18
[1,1,0,1,0,1,1,0,0,1,0,0]=>21
[1,1,0,1,0,1,1,0,1,0,0,0]=>26
[1,1,0,1,0,1,1,1,0,0,0,0]=>24
[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]=>17
[1,1,0,1,1,0,0,1,0,0,1,0]=>18
[1,1,0,1,1,0,0,1,0,1,0,0]=>21
[1,1,0,1,1,0,0,1,1,0,0,0]=>22
[1,1,0,1,1,0,1,0,0,0,1,0]=>23
[1,1,0,1,1,0,1,0,0,1,0,0]=>26
[1,1,0,1,1,0,1,0,1,0,0,0]=>31
[1,1,0,1,1,0,1,1,0,0,0,0]=>29
[1,1,0,1,1,1,0,0,0,0,1,0]=>21
[1,1,0,1,1,1,0,0,0,1,0,0]=>24
[1,1,0,1,1,1,0,0,1,0,0,0]=>29
[1,1,0,1,1,1,0,1,0,0,0,0]=>36
[1,1,0,1,1,1,1,0,0,0,0,0]=>29
[1,1,1,0,0,0,1,0,1,0,1,0]=>12
[1,1,1,0,0,0,1,0,1,1,0,0]=>14
[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]=>17
[1,1,1,0,0,0,1,1,1,0,0,0]=>18
[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]=>17
[1,1,1,0,0,1,0,1,0,0,1,0]=>18
[1,1,1,0,0,1,0,1,0,1,0,0]=>21
[1,1,1,0,0,1,0,1,1,0,0,0]=>22
[1,1,1,0,0,1,1,0,0,0,1,0]=>19
[1,1,1,0,0,1,1,0,0,1,0,0]=>22
[1,1,1,0,0,1,1,0,1,0,0,0]=>27
[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]=>20
[1,1,1,0,1,0,0,0,1,1,0,0]=>22
[1,1,1,0,1,0,0,1,0,0,1,0]=>23
[1,1,1,0,1,0,0,1,0,1,0,0]=>26
[1,1,1,0,1,0,0,1,1,0,0,0]=>27
[1,1,1,0,1,0,1,0,0,0,1,0]=>28
[1,1,1,0,1,0,1,0,0,1,0,0]=>31
[1,1,1,0,1,0,1,0,1,0,0,0]=>36
[1,1,1,0,1,0,1,1,0,0,0,0]=>34
[1,1,1,0,1,1,0,0,0,0,1,0]=>26
[1,1,1,0,1,1,0,0,0,1,0,0]=>29
[1,1,1,0,1,1,0,0,1,0,0,0]=>34
[1,1,1,0,1,1,0,1,0,0,0,0]=>41
[1,1,1,0,1,1,1,0,0,0,0,0]=>34
[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]=>20
[1,1,1,1,0,0,0,1,0,0,1,0]=>21
[1,1,1,1,0,0,0,1,0,1,0,0]=>24
[1,1,1,1,0,0,0,1,1,0,0,0]=>25
[1,1,1,1,0,0,1,0,0,0,1,0]=>26
[1,1,1,1,0,0,1,0,0,1,0,0]=>29
[1,1,1,1,0,0,1,0,1,0,0,0]=>34
[1,1,1,1,0,0,1,1,0,0,0,0]=>32
[1,1,1,1,0,1,0,0,0,0,1,0]=>33
[1,1,1,1,0,1,0,0,0,1,0,0]=>36
[1,1,1,1,0,1,0,0,1,0,0,0]=>41
[1,1,1,1,0,1,0,1,0,0,0,0]=>48
[1,1,1,1,0,1,1,0,0,0,0,0]=>41
[1,1,1,1,1,0,0,0,0,0,1,0]=>26
[1,1,1,1,1,0,0,0,0,1,0,0]=>29
[1,1,1,1,1,0,0,0,1,0,0,0]=>34
[1,1,1,1,1,0,0,1,0,0,0,0]=>41
[1,1,1,1,1,0,1,0,0,0,0,0]=>50
[1,1,1,1,1,1,0,0,0,0,0,0]=>36
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>9
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>9
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>12
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>13
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>9
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>11
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>12
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>15
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>16
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>13
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>16
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>21
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>19
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>9
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>11
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>11
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>14
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>15
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>12
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>14
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>15
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>18
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>19
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>16
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>19
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>24
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>22
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>13
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>15
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>16
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>19
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>20
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>21
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>24
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>29
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>27
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>19
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>22
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>27
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>34
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>27
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>9
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>11
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>11
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>14
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>15
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>11
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>13
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>14
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>17
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>18
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>15
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>18
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>23
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>21
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>12
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>14
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>14
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>17
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>18
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>15
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>17
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>18
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>21
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>22
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>19
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>22
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>27
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>25
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>16
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>18
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>19
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>22
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>23
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>24
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>27
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>32
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>30
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>22
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>25
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>30
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>37
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>30
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>13
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>15
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>15
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>18
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>19
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>16
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>18
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>19
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>22
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>23
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>20
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>23
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>28
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>26
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>21
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>23
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>24
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>27
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>28
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>29
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>32
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>37
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>35
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>27
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>30
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>35
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>42
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>35
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>19
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>21
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>22
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>25
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>26
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>27
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>30
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>35
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>33
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>34
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>37
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>42
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>49
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>42
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>27
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>30
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>35
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>42
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>51
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>37
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>9
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>11
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>11
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>14
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>15
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>11
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>13
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>14
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>17
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>18
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>15
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>18
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>23
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>21
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>11
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>13
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>13
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>16
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>17
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>14
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>16
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>17
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>20
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>21
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>18
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>21
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>26
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>24
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>15
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>17
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>18
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>21
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>22
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>23
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>26
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>31
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>29
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>21
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>24
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>29
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>36
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>29
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>12
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>14
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>14
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>17
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>18
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>14
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>16
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>17
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>20
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>21
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>18
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>21
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>26
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>24
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>15
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>17
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>17
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>20
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>21
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>18
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>20
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>21
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>24
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>25
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>22
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>25
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>30
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>28
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>19
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>21
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>22
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>25
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>26
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>27
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>30
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>35
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>33
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>25
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>28
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>33
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>40
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>33
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>16
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>18
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>18
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>21
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>22
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>19
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>21
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>22
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>25
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>26
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>23
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>26
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>31
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>29
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>24
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>26
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>27
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>30
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>31
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>32
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>35
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>40
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>38
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>30
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>33
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>38
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>45
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>38
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>22
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>24
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>25
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>28
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>29
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>30
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>33
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>38
[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]=>37
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>40
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>45
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>52
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>45
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>30
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>33
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>38
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>45
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>54
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>40
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>13
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>15
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>15
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>18
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>19
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>15
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>17
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>18
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>21
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>22
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>19
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>22
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>27
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>25
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>16
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>18
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>18
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>21
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>22
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>19
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>21
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>22
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>25
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>26
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>23
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>26
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>31
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>29
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>20
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>22
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>23
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>26
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>27
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>28
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>31
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>36
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>34
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>26
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>29
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>34
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>41
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>34
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>21
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>23
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>23
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>26
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>27
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>24
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>26
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>27
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>30
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>31
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>28
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>31
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>36
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>34
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>29
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>31
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>32
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>35
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>36
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>37
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>40
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>45
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>43
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>35
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>38
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>43
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>50
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>43
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>27
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>29
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>30
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>33
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>34
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>35
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>38
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>43
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>41
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>42
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>45
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>50
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>57
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>50
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>35
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>38
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>43
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>50
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>59
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>19
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>21
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>21
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>24
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>25
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>22
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>24
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>25
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>28
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>29
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>26
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>29
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>34
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>32
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>27
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>29
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>30
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>33
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>34
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>35
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>38
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>43
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>41
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>33
[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]=>41
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>48
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>41
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>34
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>36
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>37
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>40
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>41
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>42
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>45
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>50
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>48
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>49
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>52
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>57
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>57
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>42
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>45
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>50
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>57
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>66
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>52
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>27
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>29
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>30
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>33
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>34
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>35
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>38
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>43
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>41
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>42
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>45
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>50
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>57
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>51
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>54
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>59
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>66
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>75
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>61
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>37
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>40
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>45
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>52
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>61
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>72
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>49
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>8
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>10
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>10
[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]=>14
[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]=>12
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>13
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>16
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>17
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>14
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>17
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>22
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>20
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>10
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>12
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>12
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>15
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>16
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>13
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>15
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>16
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>19
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>20
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>17
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>20
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>25
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>23
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>14
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>16
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>17
[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]=>21
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>22
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>25
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>30
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>28
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>20
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>23
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>28
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>35
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>28
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>10
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>12
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>12
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>15
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>16
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>12
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>14
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>15
[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]=>19
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>16
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>19
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>24
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>22
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>13
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>15
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>15
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>18
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>19
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>16
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>18
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>19
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>22
[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]=>23
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>28
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>26
[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]=>19
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>20
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>23
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>24
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>25
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>28
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>33
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>31
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>23
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>26
[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]=>38
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>31
[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]=>16
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>16
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>19
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>20
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>17
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>19
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>20
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>23
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>24
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>21
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>24
[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]=>27
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>22
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>24
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>25
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>28
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>29
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>30
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>33
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>38
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>36
[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]=>31
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>36
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>43
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>36
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>20
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>22
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>23
[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]=>27
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>28
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>31
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>36
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>34
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>35
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>38
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>43
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>50
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>43
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>28
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>31
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>36
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>43
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>52
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>38
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>10
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>12
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>12
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>15
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>16
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>12
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>14
[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]=>18
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>19
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>16
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>19
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>24
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>22
[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]=>14
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>14
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>17
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>18
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>15
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>17
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>18
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>21
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>22
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>19
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>22
[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]=>25
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>16
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>18
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>19
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>22
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>23
[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]=>27
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>32
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>30
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>22
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>25
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>30
[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]=>30
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>13
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>15
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>15
[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]=>19
[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]=>17
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>18
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>21
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>22
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>19
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>22
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>27
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>25
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>16
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>18
[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]=>21
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>22
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>19
[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]=>22
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>25
[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]=>23
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>26
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>31
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>29
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>20
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>22
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>23
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>26
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>27
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>28
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>31
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>36
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>34
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>26
[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]=>34
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>41
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>34
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>17
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>19
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>19
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>22
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>23
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>20
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>22
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>23
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>26
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>27
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>24
[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]=>32
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>30
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>25
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>27
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>28
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>31
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>32
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>33
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>36
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>41
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>39
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>31
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>34
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>39
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>46
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>39
[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]=>25
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>26
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>29
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>30
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>31
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>34
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>39
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>37
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>38
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>41
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>46
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>53
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>46
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>31
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>34
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>39
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>46
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>55
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>41
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>14
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>16
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>16
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>19
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>20
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>16
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>18
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>19
[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]=>23
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>20
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>23
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>28
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>26
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>17
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>19
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>19
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>22
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>23
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>20
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>22
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>23
[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]=>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]=>27
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>32
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>30
[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]=>23
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>24
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>27
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>28
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>29
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>32
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>37
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>35
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>27
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>30
[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]=>42
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>35
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>22
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>24
[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]=>27
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>28
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>25
[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]=>28
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>31
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>32
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>29
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>32
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>37
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>35
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>30
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>32
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>33
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>36
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>37
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>38
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>41
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>46
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>44
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>36
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>39
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>44
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>51
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>44
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>28
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>30
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>31
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>34
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>35
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>36
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>39
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>44
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>42
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>43
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>46
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>51
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>58
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>51
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>36
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>39
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>44
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>51
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>60
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>46
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>20
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>22
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>22
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>25
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>26
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>23
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>25
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>26
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>29
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>30
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>27
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>30
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>35
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>33
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>28
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>30
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>31
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>34
[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]=>36
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>39
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>44
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>42
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>34
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>37
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>42
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>49
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>42
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>35
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>37
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>38
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>41
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>42
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>43
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>46
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>51
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>49
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>50
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>53
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>58
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>65
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>58
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>43
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>46
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>51
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>58
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>67
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>53
[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]=>30
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>31
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>34
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>35
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>36
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>39
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>44
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>42
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>43
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>46
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>51
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>58
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>51
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>52
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>55
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>60
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>67
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>76
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>62
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>38
[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]=>46
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>53
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>62
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>73
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>50
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>10
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>12
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>12
[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]=>16
[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]=>14
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>15
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>18
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>19
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>16
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>19
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>24
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>22
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>12
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>14
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>14
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>17
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>18
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>15
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>17
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>18
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>21
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>22
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>19
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>22
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>27
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>25
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>16
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>18
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>19
[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]=>23
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>24
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>27
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>32
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>30
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>22
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>25
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>30
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>37
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>30
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>12
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>14
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>14
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>17
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>18
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>14
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>16
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>17
[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]=>21
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>18
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>21
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>26
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>24
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>15
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>17
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>17
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>20
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>21
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>18
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>20
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>21
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>24
[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]=>25
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>30
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>28
[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]=>21
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>22
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>25
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>26
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>27
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>30
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>35
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>33
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>25
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>28
[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]=>40
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>33
[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]=>18
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>18
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>21
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>22
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>19
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>21
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>22
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>25
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>26
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>23
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>26
[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]=>29
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>24
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>26
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>27
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>30
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>31
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>32
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>35
[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]=>38
[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]=>33
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>38
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>45
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>38
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>22
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>24
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>25
[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]=>29
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>30
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>33
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>38
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>36
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>37
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>40
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>45
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>52
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>45
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>30
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>33
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>38
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>45
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>54
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>40
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>13
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>15
[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]=>18
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>19
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>15
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>17
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>18
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>21
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>22
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>19
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>22
[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]=>25
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
The sum of the squares of the heights of the peaks of a Dyck path.
References
[1] a(n) = (2n+1)!/n!^2. OEIS:A002457
Code
def statistic(D): H = D.heights() return sum(H[p+1]^2 for p in D.peaks())
Created
Feb 25, 2021 at 12:40 by Martin Rubey
Updated
Feb 25, 2021 at 12:40 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!