Identifier
Identifier
St000012: Dyck paths ⟶ ℤ
Values
[1,0] generating graphics... => 0
[1,0,1,0] generating graphics... => 0
[1,1,0,0] generating graphics... => 1
[1,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,0] generating graphics... => 4
[1,1,1,0,1,0,0,0] generating graphics... => 5
[1,1,1,1,0,0,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 6
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 7
[1,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,0,0,1,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 6
[1,1,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 6
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 7
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 8
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 6
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 7
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 8
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 9
[1,1,1,1,1,0,0,0,0,0] generating graphics... => 10
[1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 6
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 6
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 7
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 6
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 6
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 7
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 8
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 6
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 7
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 8
[1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 9
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 10
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 6
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 7
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 4
[1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 6
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 6
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 7
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 8
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 4
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 6
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 7
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 6
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 7
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 8
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 9
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 7
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 8
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 9
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 10
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 11
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 6
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 6
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 7
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 6
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 7
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 8
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 9
[1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 6
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 6
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 7
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 8
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 7
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 8
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 9
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 10
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 8
[1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 9
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 10
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 11
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 12
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 6
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 7
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 7
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 8
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 9
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 8
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 9
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 10
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 11
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 9
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 10
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 11
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 12
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 13
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 10
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 11
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 12
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 13
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 14
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 15
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 7
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 7
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 8
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 7
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 8
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 9
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 10
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 6
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 7
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 7
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 8
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 7
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 7
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 8
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 9
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 7
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 8
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 9
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 10
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 11
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 6
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 7
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 6
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 7
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 8
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 9
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 6
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 6
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 7
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 8
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 7
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 8
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 9
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 10
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 8
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 9
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 10
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 11
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 12
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 7
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 7
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 8
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 9
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 8
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 9
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 10
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 11
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 9
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 10
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 11
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 12
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 13
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 10
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 11
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 12
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 13
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 14
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 15
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 4
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 7
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 6
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 6
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 7
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 8
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 6
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 7
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 6
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 7
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 8
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 9
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 7
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 8
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 9
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 10
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 11
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 4
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 6
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 6
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 7
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 8
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 6
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 6
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 7
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 6
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 7
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 8
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 9
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 6
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 7
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 8
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 7
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 8
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 9
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 10
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 8
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 9
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 10
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 11
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 12
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 6
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 7
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 6
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 7
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 8
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 7
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 8
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 9
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 10
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 6
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 7
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 7
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 8
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 9
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 8
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 9
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 10
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 11
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 9
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 10
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 11
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 12
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 13
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 7
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 8
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 8
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 9
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 10
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 9
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 10
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 11
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 12
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 10
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 11
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 12
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 13
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 14
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 11
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 12
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 13
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 14
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 15
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 16
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] generating graphics... => 6
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] generating graphics... => 6
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] generating graphics... => 7
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] generating graphics... => 6
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] generating graphics... => 7
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] generating graphics... => 8
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] generating graphics... => 9
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] generating graphics... => 6
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] generating graphics... => 7
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] generating graphics... => 6
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] generating graphics... => 6
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] generating graphics... => 7
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] generating graphics... => 8
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] generating graphics... => 7
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] generating graphics... => 8
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] generating graphics... => 9
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] generating graphics... => 10
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] generating graphics... => 6
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] generating graphics... => 7
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] generating graphics... => 7
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] generating graphics... => 8
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] generating graphics... => 9
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] generating graphics... => 8
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] generating graphics... => 9
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] generating graphics... => 10
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] generating graphics... => 11
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] generating graphics... => 9
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] generating graphics... => 10
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] generating graphics... => 11
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] generating graphics... => 12
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] generating graphics... => 13
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] generating graphics... => 6
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] generating graphics... => 6
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] generating graphics... => 7
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] generating graphics... => 8
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] generating graphics... => 6
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] generating graphics... => 7
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] generating graphics... => 7
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] generating graphics... => 8
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] generating graphics... => 9
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] generating graphics... => 8
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] generating graphics... => 9
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] generating graphics... => 10
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] generating graphics... => 11
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] generating graphics... => 7
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] generating graphics... => 8
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] generating graphics... => 8
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] generating graphics... => 9
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] generating graphics... => 10
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] generating graphics... => 9
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] generating graphics... => 10
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] generating graphics... => 11
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] generating graphics... => 12
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] generating graphics... => 10
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] generating graphics... => 11
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] generating graphics... => 12
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] generating graphics... => 13
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] generating graphics... => 14
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] generating graphics... => 8
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] generating graphics... => 9
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] generating graphics... => 9
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] generating graphics... => 10
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] generating graphics... => 11
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] generating graphics... => 10
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] generating graphics... => 11
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] generating graphics... => 12
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] generating graphics... => 13
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] generating graphics... => 11
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] generating graphics... => 12
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] generating graphics... => 13
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] generating graphics... => 14
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] generating graphics... => 15
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] generating graphics... => 12
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] generating graphics... => 13
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] generating graphics... => 14
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] generating graphics... => 15
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] generating graphics... => 16
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] generating graphics... => 17
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] generating graphics... => 7
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] generating graphics... => 7
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] generating graphics... => 8
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] generating graphics... => 9
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] generating graphics... => 7
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] generating graphics... => 8
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] generating graphics... => 8
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] generating graphics... => 9
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] generating graphics... => 10
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] generating graphics... => 9
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] generating graphics... => 10
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] generating graphics... => 11
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] generating graphics... => 12
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] generating graphics... => 8
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] generating graphics... => 9
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] generating graphics... => 9
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] generating graphics... => 10
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] generating graphics... => 11
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] generating graphics... => 10
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] generating graphics... => 11
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] generating graphics... => 12
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] generating graphics... => 13
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] generating graphics... => 11
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] generating graphics... => 12
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] generating graphics... => 13
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] generating graphics... => 14
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] generating graphics... => 15
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] generating graphics... => 9
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] generating graphics... => 10
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] generating graphics... => 10
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] generating graphics... => 11
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] generating graphics... => 12
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] generating graphics... => 11
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] generating graphics... => 12
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] generating graphics... => 13
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] generating graphics... => 14
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] generating graphics... => 12
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] generating graphics... => 13
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] generating graphics... => 14
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] generating graphics... => 15
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] generating graphics... => 16
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] generating graphics... => 13
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] generating graphics... => 14
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] generating graphics... => 15
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] generating graphics... => 16
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] generating graphics... => 17
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] generating graphics... => 18
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] generating graphics... => 10
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] generating graphics... => 11
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] generating graphics... => 11
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] generating graphics... => 12
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] generating graphics... => 13
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] generating graphics... => 12
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] generating graphics... => 13
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] generating graphics... => 14
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] generating graphics... => 15
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] generating graphics... => 13
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] generating graphics... => 14
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] generating graphics... => 15
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] generating graphics... => 16
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] generating graphics... => 17
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] generating graphics... => 14
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] generating graphics... => 15
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] generating graphics... => 16
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] generating graphics... => 17
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] generating graphics... => 18
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] generating graphics... => 19
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] generating graphics... => 15
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] generating graphics... => 16
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] generating graphics... => 17
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] generating graphics... => 18
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] generating graphics... => 19
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] generating graphics... => 20
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] generating graphics... => 21
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 7
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 7
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 8
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 7
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 8
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 9
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 10
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 7
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 7
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 8
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 7
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 7
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 8
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 9
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 7
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 8
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 9
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 10
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 11
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 7
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 7
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 8
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 9
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 6
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 7
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 8
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 7
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 8
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 9
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 10
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 8
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 9
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 10
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 11
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 12
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 7
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 7
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 8
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 9
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 8
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 9
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 10
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 11
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 9
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 10
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 11
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 12
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 13
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 10
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 11
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 12
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 13
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 14
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 15
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 6
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 7
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 6
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 6
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 7
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 8
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 7
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 6
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 7
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 8
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 9
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 7
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 8
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 9
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 10
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 11
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 7
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 8
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 7
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 7
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 8
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 9
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 7
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 8
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 7
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 8
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 9
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 10
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 8
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 9
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 10
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 11
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 12
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 7
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 7
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 8
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 7
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 8
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 9
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 10
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 7
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 7
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 8
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 9
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 8
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 9
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 10
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 11
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 9
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 10
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 11
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 12
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 13
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 7
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 8
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 8
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 9
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 10
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 9
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 10
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 11
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 12
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 10
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 11
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 12
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 13
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 14
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 11
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 12
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 13
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 14
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 15
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 16
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] generating graphics... => 6
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] generating graphics... => 7
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] generating graphics... => 6
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] generating graphics... => 7
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] generating graphics... => 8
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] generating graphics... => 9
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] generating graphics... => 7
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] generating graphics... => 6
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] generating graphics... => 6
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] generating graphics... => 7
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] generating graphics... => 8
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] generating graphics... => 7
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] generating graphics... => 8
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] generating graphics... => 9
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] generating graphics... => 10
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] generating graphics... => 7
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] generating graphics... => 7
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] generating graphics... => 8
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] generating graphics... => 9
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] generating graphics... => 8
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] generating graphics... => 9
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] generating graphics... => 10
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] generating graphics... => 11
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] generating graphics... => 9
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] generating graphics... => 10
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] generating graphics... => 11
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] generating graphics... => 12
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] generating graphics... => 13
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] generating graphics... => 6
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] generating graphics... => 6
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] generating graphics... => 7
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] generating graphics... => 8
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] generating graphics... => 7
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] generating graphics... => 7
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] generating graphics... => 8
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] generating graphics... => 9
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] generating graphics... => 8
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] generating graphics... => 9
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] generating graphics... => 10
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] generating graphics... => 11
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] generating graphics... => 7
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] generating graphics... => 8
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] generating graphics... => 8
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] generating graphics... => 9
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] generating graphics... => 10
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] generating graphics... => 9
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] generating graphics... => 10
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] generating graphics... => 11
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] generating graphics... => 12
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] generating graphics... => 10
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] generating graphics... => 11
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] generating graphics... => 12
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] generating graphics... => 13
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] generating graphics... => 14
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] generating graphics... => 8
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] generating graphics... => 9
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] generating graphics... => 9
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] generating graphics... => 10
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] generating graphics... => 11
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] generating graphics... => 10
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] generating graphics... => 11
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] generating graphics... => 12
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] generating graphics... => 13
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] generating graphics... => 11
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] generating graphics... => 12
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] generating graphics... => 13
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] generating graphics... => 14
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] generating graphics... => 15
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] generating graphics... => 12
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] generating graphics... => 13
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] generating graphics... => 14
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] generating graphics... => 15
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] generating graphics... => 16
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] generating graphics... => 17
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] generating graphics... => 7
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] generating graphics... => 7
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] generating graphics... => 8
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] generating graphics... => 9
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] generating graphics... => 7
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] generating graphics... => 8
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] generating graphics... => 8
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] generating graphics... => 9
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] generating graphics... => 10
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] generating graphics... => 9
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] generating graphics... => 10
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] generating graphics... => 11
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] generating graphics... => 12
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] generating graphics... => 8
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] generating graphics... => 9
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] generating graphics... => 9
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] generating graphics... => 10
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] generating graphics... => 11
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] generating graphics... => 10
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] generating graphics... => 11
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] generating graphics... => 12
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] generating graphics... => 13
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] generating graphics... => 11
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] generating graphics... => 12
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] generating graphics... => 13
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] generating graphics... => 14
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] generating graphics... => 15
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] generating graphics... => 9
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] generating graphics... => 10
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] generating graphics... => 10
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] generating graphics... => 11
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] generating graphics... => 12
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] generating graphics... => 11
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] generating graphics... => 12
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] generating graphics... => 13
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] generating graphics... => 14
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] generating graphics... => 12
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] generating graphics... => 13
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] generating graphics... => 14
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] generating graphics... => 15
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] generating graphics... => 16
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] generating graphics... => 13
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] generating graphics... => 14
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] generating graphics... => 15
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] generating graphics... => 16
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] generating graphics... => 17
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] generating graphics... => 18
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] generating graphics... => 10
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] generating graphics... => 11
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] generating graphics... => 11
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] generating graphics... => 12
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] generating graphics... => 13
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] generating graphics... => 12
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] generating graphics... => 13
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] generating graphics... => 14
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] generating graphics... => 15
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] generating graphics... => 13
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] generating graphics... => 14
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] generating graphics... => 15
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] generating graphics... => 16
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] generating graphics... => 17
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] generating graphics... => 14
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] generating graphics... => 15
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] generating graphics... => 16
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] generating graphics... => 17
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] generating graphics... => 18
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] generating graphics... => 19
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] generating graphics... => 15
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] generating graphics... => 16
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] generating graphics... => 17
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] generating graphics... => 18
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] generating graphics... => 19
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] generating graphics... => 20
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] generating graphics... => 21
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 4
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 7
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 4
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 7
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 8
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 4
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 7
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 6
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 7
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 8
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 9
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 7
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 8
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 9
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 10
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 11
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 6
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 6
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 7
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 8
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 6
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 6
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 7
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 6
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 7
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 8
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 9
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 6
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 7
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 8
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 7
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 8
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 9
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 10
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 8
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 9
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 10
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 11
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 12
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 6
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 7
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 6
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 7
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 8
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 7
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 8
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 9
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 10
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 6
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 7
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 7
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 8
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 9
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 8
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 9
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 10
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 11
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 9
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 10
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 11
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 12
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 13
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 7
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 8
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 8
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 9
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 10
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 9
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 10
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 11
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 12
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 10
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 11
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 12
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 13
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 14
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 11
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 12
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 13
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 14
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 15
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 16
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 4
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 6
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 6
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 7
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 8
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Description
The area of a Dyck path.
This is the number of complete squares in the integer lattice which are below the path and above the x-axis. The 'half-squares' directly above the axis do not contribute to this statistic.
1. Dyck paths are bijection with area sequences $(a_1,\ldots,a_n)$ such that $a_1 = 0, a_{k+1} \leq a_k + 1$.
2. The generating function $\mathbf{D}_n(q) = \sum_{D \in \mathfrak{D}_n} q^{\operatorname{area}(D)}$ satisfy the recurrence $$\mathbf{D}_{n+1}(q) = \sum q^k \mathbf{D}_k(q) \mathbf{D}_{n-k}(q).$$
3. The area is equidistributed with St000005The bounce statistic of a Dyck path. and St000006The dinv statistic of a Dyck path.. Pairs of these statistics play an important role in the theory of $q,t$-Catalan numbers.
Code
def statistic(x):
    return x.area()
Created
Sep 27, 2011 at 19:29 by Chris Berg
Updated
Apr 23, 2017 at 14:50 by Martin Rubey