Identifier
Identifier
Values
([(4,11),(5,10),(6,9),(7,8)],12) generating graphics... => 12
([(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 12
([(3,6),(4,5),(4,7),(5,7),(6,7)],8) generating graphics... => 9
([(0,11),(0,12),(1,11),(1,12),(2,11),(2,12),(3,11),(3,12),(4,11),(4,12),(5,11),(5,12),(6,11),(6,12),(7,11),(7,12),(8,11),(8,12),(9,11),(9,12),(10,11),(10,12)],13) generating graphics... => 42
([(0,10),(1,8),(2,7),(3,9),(4,12),(5,11),(6,11),(6,12),(7,8),(9,10)],13) generating graphics... => 18
([(5,10),(6,10),(7,10),(8,9)],11) generating graphics... => 11
([(4,10),(5,9),(6,7),(6,8),(7,9),(8,10)],11) generating graphics... => 11
([(6,11),(7,10),(8,9)],12) generating graphics... => 12
([(2,10),(3,10),(4,10),(5,10),(6,7),(7,9),(8,9),(8,10)],11) generating graphics... => 11
([(7,11),(8,11),(9,10),(9,11),(10,11)],12) generating graphics... => 12
([(0,12),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,12),(9,11),(10,11),(11,12)],13) generating graphics... => 19
([(1,2),(3,10),(4,8),(5,7),(6,9),(7,8),(9,10)],11) generating graphics... => 14
([(4,9),(4,10),(5,6),(5,8),(6,7),(7,9),(8,10)],11) generating graphics... => 13
([(5,10),(6,10),(7,10),(8,10),(9,10)],11) generating graphics... => 11
([(3,11),(4,11),(5,10),(6,9),(7,8),(7,9),(8,10)],12) generating graphics... => 12
([(4,9),(5,10),(6,10),(7,10),(8,9),(8,10)],11) generating graphics... => 11
([(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10) generating graphics... => 10
([(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) generating graphics... => 14
([(1,8),(1,9),(2,3),(2,5),(3,4),(4,6),(5,7),(6,8),(7,9)],10) generating graphics... => 17
([(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) generating graphics... => 11
([(0,12),(1,11),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11),(10,12)],13) generating graphics... => 18
([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9)],11) generating graphics... => 13
([(5,10),(6,9),(7,8),(9,10)],11) generating graphics... => 11
([(0,12),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,12),(9,12),(10,12),(11,12)],13) generating graphics... => 23
([(0,10),(1,10),(2,9),(3,9),(4,8),(5,8),(6,12),(7,11),(11,12)],13) generating graphics... => 17
([(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10) generating graphics... => 10
([(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12) generating graphics... => 15
([(1,10),(2,9),(3,4),(5,6),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 14
([(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) generating graphics... => 14
([(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) generating graphics... => 14
([(4,10),(5,11),(6,11),(7,11),(8,9),(8,10),(9,11)],12) generating graphics... => 12
([(6,10),(7,9),(7,10),(8,9),(8,10)],11) generating graphics... => 11
([(5,10),(6,10),(7,9),(8,9)],11) generating graphics... => 11
([(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) generating graphics... => 11
([(1,7),(1,8),(2,3),(2,4),(3,6),(4,5),(5,7),(6,8)],9) generating graphics... => 11
([(5,10),(6,10),(7,9),(8,9),(9,10)],11) generating graphics... => 11
([(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10) generating graphics... => 10
([(3,7),(4,8),(5,8),(6,7),(6,8)],9) generating graphics... => 9
([(0,12),(1,12),(2,11),(3,10),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],13) generating graphics... => 18
([(2,3),(4,7),(5,7),(6,7)],8) generating graphics... => 8
([(6,9),(7,8),(7,9),(8,9)],10) generating graphics... => 10
([(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9) generating graphics... => 10
([(1,2),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9)],12) generating graphics... => 14
([(1,9),(2,9),(3,9),(4,9),(5,6),(6,8),(7,8),(7,9)],10) generating graphics... => 11
([(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) generating graphics... => 18
([(2,7),(3,6),(4,5),(8,10),(9,10)],11) generating graphics... => 12
([(9,11),(10,11)],12) generating graphics... => 12
([(4,5),(6,10),(7,10),(8,10),(9,10)],11) generating graphics... => 11
([(1,9),(2,8),(3,11),(4,10),(5,7),(5,10),(6,7),(6,11),(8,9)],12) generating graphics... => 15
([(0,10),(1,9),(2,12),(3,11),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10),(11,12)],13) generating graphics... => 18
([(6,9),(6,10),(7,8),(7,10),(8,9),(9,10)],11) generating graphics... => 11
([(7,9),(7,10),(8,9),(8,10)],11) generating graphics... => 11
([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(9,10)],12) generating graphics... => 15
([(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9)],11) generating graphics... => 11
([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) generating graphics... => 26
([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,8),(8,10),(9,10),(9,11)],12) generating graphics... => 15
([(0,3),(1,2),(4,10),(5,9),(6,8),(7,8),(9,11),(10,12),(11,12)],13) generating graphics... => 18
([(0,1),(2,7),(3,6),(4,9),(5,8),(6,7),(8,10),(9,10)],11) generating graphics... => 15
([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) generating graphics... => 18
([(0,12),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,8),(8,10),(9,11),(9,12),(10,11)],13) generating graphics... => 19
([(7,8),(9,10),(9,11),(10,11)],12) generating graphics... => 12
([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) generating graphics... => 11
([(5,9),(5,10),(6,7),(6,8),(7,8),(9,10)],11) generating graphics... => 11
([(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12) generating graphics... => 18
([(5,6),(7,8),(7,9),(8,9)],10) generating graphics... => 10
([(6,9),(6,10),(7,8),(7,10),(8,10),(9,10)],11) generating graphics... => 11
([(3,8),(4,8),(5,8),(6,7),(7,8)],9) generating graphics... => 9
([(0,10),(1,10),(2,10),(3,10),(4,10),(5,6),(6,8),(7,9),(7,10),(8,9)],11) generating graphics... => 15
([(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12) generating graphics... => 12
([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) generating graphics... => 14
([(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) generating graphics... => 10
([(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11) generating graphics... => 18
([(6,10),(7,10),(8,9)],11) generating graphics... => 11
([(0,12),(1,11),(2,5),(3,4),(6,7),(6,8),(7,9),(8,10),(9,11),(10,12)],13) generating graphics... => 18
([(4,10),(5,9),(6,7),(8,9),(8,10)],11) generating graphics... => 11
([(0,10),(1,9),(2,12),(3,11),(4,5),(6,8),(6,11),(7,8),(7,12),(9,10)],13) generating graphics... => 18
([(2,11),(3,10),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 14
([(1,11),(2,11),(3,10),(4,9),(5,6),(5,7),(6,8),(7,9),(8,10)],12) generating graphics... => 15
([(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 12
([(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) generating graphics... => 18
([(0,11),(0,12),(1,2),(1,4),(2,3),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11),(10,12)],13) generating graphics... => 25
([(2,9),(2,10),(3,7),(3,8),(4,5),(4,6),(5,6),(7,8),(9,10)],11) generating graphics... => 15
([(0,9),(0,10),(1,2),(1,4),(2,3),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 21
([(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) generating graphics... => 22
([(1,10),(2,11),(3,11),(4,11),(5,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 14
([(0,3),(1,2),(4,11),(5,9),(6,8),(7,10),(8,9),(10,11)],12) generating graphics... => 17
([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) generating graphics... => 18
([(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11) generating graphics... => 18
([(4,8),(4,9),(5,6),(5,7),(6,7),(8,9)],10) generating graphics... => 10
([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8) generating graphics... => 11
([(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(9,10)],12) generating graphics... => 13
([(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10),(9,10)],11) generating graphics... => 15
([(5,9),(6,8),(7,8),(7,9),(8,9)],10) generating graphics... => 10
([(0,10),(1,9),(2,3),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 15
([(0,10),(1,9),(2,12),(3,11),(4,7),(4,8),(5,6),(5,9),(6,10),(7,11),(8,12)],13) generating graphics... => 18
([(3,11),(4,11),(5,11),(6,7),(7,9),(8,10),(8,11),(9,10)],12) generating graphics... => 12
([(4,7),(4,8),(5,6),(5,8),(6,7)],9) generating graphics... => 9
([(0,10),(1,10),(2,10),(3,10),(4,5),(5,9),(6,8),(6,10),(7,8),(7,9)],11) generating graphics... => 14
([(2,9),(3,8),(4,11),(5,10),(6,10),(6,11),(7,8),(7,9)],12) generating graphics... => 13
([(5,9),(6,8),(6,9),(7,8),(7,9)],10) generating graphics... => 10
([(1,8),(2,8),(3,8),(4,7),(5,7),(6,7)],9) generating graphics... => 9
([(2,8),(2,9),(3,5),(3,6),(4,5),(4,6),(7,8),(7,9)],10) generating graphics... => 11
([(6,11),(7,11),(8,11),(9,10),(10,11)],12) generating graphics... => 12
([(3,10),(4,10),(5,10),(6,10),(7,9),(8,9)],11) generating graphics... => 11
([(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) generating graphics... => 18
([(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12) generating graphics... => 14
([(0,1),(2,7),(3,6),(4,9),(5,8),(6,7),(8,10),(9,11),(10,11)],12) generating graphics... => 17
([(5,8),(6,7),(6,8),(7,8)],9) generating graphics... => 9
([(3,11),(4,11),(5,11),(6,11),(7,11),(8,9),(9,10),(10,11)],12) generating graphics... => 13
([(0,13),(0,14),(1,13),(1,14),(2,13),(2,14),(3,13),(3,14),(4,13),(4,14),(5,13),(5,14),(6,13),(6,14),(7,13),(7,14),(8,13),(8,14),(9,13),(9,14),(10,13),(10,14),(11,13),(11,14),(12,13),(12,14)],15) generating graphics... => 50
([(4,8),(5,7),(5,8),(6,7),(6,8)],9) generating graphics... => 9
([(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(9,10)],12) generating graphics... => 12
([(8,11),(9,10)],12) generating graphics... => 12
([(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 14
([(3,10),(4,10),(5,10),(6,9),(7,9),(8,9)],11) generating graphics... => 11
([(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11) generating graphics... => 11
([(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) generating graphics... => 21
([(0,1),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,12),(9,12),(10,12),(11,12)],13) generating graphics... => 21
([(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) generating graphics... => 10
([(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8)],10) generating graphics... => 10
([(4,11),(5,10),(6,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 12
([(2,8),(3,9),(4,9),(5,6),(5,7),(6,8),(7,9)],10) generating graphics... => 10
([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) generating graphics... => 21
([(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) generating graphics... => 18
([(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) generating graphics... => 9
([(4,8),(5,8),(6,8),(7,8)],9) generating graphics... => 9
([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9)],11) generating graphics... => 13
([(5,9),(6,9),(7,8),(7,9),(8,9)],10) generating graphics... => 10
([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11) generating graphics... => 14
([(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9) generating graphics... => 9
([(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) generating graphics... => 26
([(0,8),(1,7),(2,10),(3,9),(4,6),(5,6),(7,8),(9,11),(10,11)],12) generating graphics... => 16
([(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12) generating graphics... => 17
([(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) generating graphics... => 15
([(5,11),(6,10),(7,8),(9,10),(9,11)],12) generating graphics... => 12
([(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12) generating graphics... => 18
([(1,11),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 15
([(3,4),(5,6),(5,7),(6,7)],8) generating graphics... => 8
([(1,4),(2,3),(5,8),(6,7),(7,9),(8,10),(9,10)],11) generating graphics... => 14
([(2,10),(3,11),(4,11),(5,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 13
([(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) generating graphics... => 26
([(0,10),(1,10),(2,9),(3,8),(4,5),(4,6),(5,7),(6,8),(7,9)],11) generating graphics... => 15
([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) generating graphics... => 9
([(4,8),(5,8),(6,7),(7,8)],9) generating graphics... => 9
([(2,3),(4,8),(5,8),(6,8),(7,8)],9) generating graphics... => 9
([(1,8),(2,8),(3,7),(4,7),(5,10),(6,9),(9,11),(10,11)],12) generating graphics... => 14
([(0,10),(0,11),(1,7),(1,8),(2,4),(2,5),(3,4),(3,5),(6,7),(6,8),(9,10),(9,11)],12) generating graphics... => 17
([(0,11),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8)],12) generating graphics... => 15
([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) generating graphics... => 26
([(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10) generating graphics... => 10
([(0,11),(1,12),(2,12),(3,12),(4,12),(5,6),(5,7),(6,8),(7,9),(8,10),(9,11),(10,12)],13) generating graphics... => 17
([(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12) generating graphics... => 18
([(4,6),(4,7),(5,6),(5,7),(6,7)],8) generating graphics... => 10
([(0,1),(2,8),(3,7),(4,6),(5,6),(7,10),(8,11),(9,10),(9,11)],12) generating graphics... => 16
([(2,10),(3,9),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 12
([(1,11),(2,11),(3,11),(4,11),(5,11),(6,7),(7,9),(8,10),(8,11),(9,10)],12) generating graphics... => 15
([(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) generating graphics... => 10
([(2,7),(3,6),(4,5),(8,11),(9,10),(10,11)],12) generating graphics... => 14
([(0,9),(1,8),(2,11),(3,10),(4,12),(5,12),(6,7),(6,10),(7,11),(8,9)],13) generating graphics... => 18
([(5,7),(5,8),(6,7),(6,8)],9) generating graphics... => 9
([(8,9),(8,10),(9,10)],11) generating graphics... => 11
([(7,10),(8,9)],11) generating graphics... => 11
([(4,7),(4,8),(5,6),(5,8),(6,8),(7,8)],9) generating graphics... => 9
([(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9) generating graphics... => 9
([(0,5),(1,4),(2,3),(6,9),(7,8),(8,11),(9,12),(10,11),(10,12)],13) generating graphics... => 18
([(0,12),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,12),(9,11),(10,11)],13) generating graphics... => 19
([(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9)],11) generating graphics... => 11
([(8,11),(9,10),(10,11)],12) generating graphics... => 12
([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12) generating graphics... => 18
([(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12) generating graphics... => 12
([(2,11),(3,11),(4,11),(5,11),(6,7),(7,9),(8,10),(8,11),(9,10)],12) generating graphics... => 13
([(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) generating graphics... => 22
([(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9) generating graphics... => 10
([(0,3),(1,2),(4,10),(5,9),(6,8),(7,8),(9,10)],11) generating graphics... => 15
([(0,7),(1,6),(2,5),(3,4),(8,10),(9,10)],11) generating graphics... => 15
([(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) generating graphics... => 21
([(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) generating graphics... => 14
([(3,9),(4,10),(5,10),(6,7),(6,8),(7,9),(8,10)],11) generating graphics... => 11
([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 19
([(5,8),(6,7),(9,11),(10,11)],12) generating graphics... => 12
([(0,11),(1,12),(2,12),(3,12),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11),(10,12)],13) generating graphics... => 17
([(2,8),(3,8),(4,8),(5,7),(6,7)],9) generating graphics... => 9
([(1,11),(2,9),(3,8),(4,10),(5,7),(6,7),(8,9),(10,11)],12) generating graphics... => 15
([(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) generating graphics... => 18
([(0,5),(1,4),(2,3),(6,9),(7,8),(8,10),(9,11),(10,11)],12) generating graphics... => 17
([(2,9),(3,8),(4,11),(5,10),(6,7),(6,10),(7,11),(8,9)],12) generating graphics... => 14
([(1,10),(2,10),(3,10),(4,10),(5,10),(6,7),(7,9),(8,9),(8,10)],11) generating graphics... => 13
([(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11) generating graphics... => 18
([(6,11),(7,11),(8,10),(8,11),(9,10),(9,11)],12) generating graphics... => 12
([(5,11),(6,11),(7,11),(8,10),(9,10)],12) generating graphics... => 12
([(4,8),(5,7),(6,7),(6,8),(7,8)],9) generating graphics... => 9
([(1,6),(1,7),(2,3),(2,5),(3,4),(4,6),(5,7)],8) generating graphics... => 13
([(1,4),(2,3),(5,8),(6,7),(7,10),(8,11),(9,10),(9,11)],12) generating graphics... => 15
([(2,9),(3,10),(4,10),(5,6),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 12
([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) generating graphics... => 21
([(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10) generating graphics... => 10
([(6,11),(7,11),(8,10),(9,10),(10,11)],12) generating graphics... => 12
([(5,11),(6,11),(7,11),(8,10),(9,10),(10,11)],12) generating graphics... => 12
([(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11) generating graphics... => 11
([(2,10),(2,11),(3,4),(3,5),(4,7),(5,6),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 14
([(1,9),(2,9),(3,9),(4,5),(5,7),(6,8),(6,9),(7,8)],10) generating graphics... => 11
([(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(9,10),(10,11)],12) generating graphics... => 12
([(0,1),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8)],11) generating graphics... => 14
([(5,10),(6,11),(7,11),(8,11),(9,10),(9,11)],12) generating graphics... => 12
([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8) generating graphics... => 9
([(4,7),(5,7),(6,7)],8) generating graphics... => 8
([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) generating graphics... => 17
([(6,10),(7,9),(8,9),(8,10),(9,10)],11) generating graphics... => 11
([(0,8),(1,7),(2,10),(3,9),(4,7),(4,8),(5,6),(5,9),(6,10)],11) generating graphics... => 15
([(6,11),(7,10),(8,9),(10,11)],12) generating graphics... => 12
([(6,10),(7,11),(8,11),(9,10),(9,11)],12) generating graphics... => 12
([(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(9,10)],11) generating graphics... => 13
([(6,8),(6,9),(7,8),(7,9),(8,9)],10) generating graphics... => 10
([(0,12),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,12),(9,12),(10,11),(11,12)],13) generating graphics... => 22
([(4,10),(5,10),(6,9),(7,8),(8,9)],11) generating graphics... => 11
([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8)],10) generating graphics... => 11
([(2,10),(3,10),(4,10),(5,6),(6,8),(7,9),(7,10),(8,9)],11) generating graphics... => 11
([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) generating graphics... => 15
([(1,2),(3,7),(4,7),(5,7),(6,7)],8) generating graphics... => 9
([(1,4),(2,3),(5,10),(6,10),(7,9),(8,9)],11) generating graphics... => 13
([(0,11),(1,11),(2,11),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9)],12) generating graphics... => 14
([(5,6),(5,7),(6,7)],8) generating graphics... => 8
([(2,9),(3,9),(4,9),(5,6),(6,8),(7,8),(7,9)],10) generating graphics... => 10
([(3,11),(4,11),(5,10),(6,10),(7,9),(8,9)],12) generating graphics... => 12
([(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10)],11) generating graphics... => 18
([(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) generating graphics... => 18
([(3,4),(5,8),(6,8),(7,8)],9) generating graphics... => 9
([(0,7),(0,8),(1,5),(1,6),(2,3),(2,4),(3,4),(5,6),(7,8)],9) generating graphics... => 15
([(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) generating graphics... => 10
([(1,2),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) generating graphics... => 13
([(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) generating graphics... => 18
([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12) generating graphics... => 15
([(3,10),(4,9),(5,8),(6,7)],11) generating graphics... => 11
([(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 18
([(0,3),(1,2),(4,10),(5,9),(6,8),(7,8),(9,11),(10,11)],12) generating graphics... => 16
([(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12) generating graphics... => 18
([(0,9),(1,8),(2,11),(3,10),(4,12),(5,12),(6,10),(6,11),(7,8),(7,9)],13) generating graphics... => 17
([(1,2),(3,9),(4,8),(5,7),(6,7),(8,10),(9,10)],11) generating graphics... => 13
([(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12) generating graphics... => 18
([(4,10),(4,11),(5,7),(5,8),(6,7),(6,8),(9,10),(9,11)],12) generating graphics... => 12
([(0,10),(1,11),(2,11),(3,11),(4,11),(5,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 15
([(0,10),(1,8),(2,7),(3,9),(4,6),(5,6),(7,8),(9,10)],11) generating graphics... => 15
([(3,10),(4,11),(5,11),(6,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 12
([(6,11),(7,11),(8,11),(9,10)],12) generating graphics... => 12
([(0,1),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) generating graphics... => 13
([(1,2),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 17
([(6,9),(6,10),(7,8),(7,10),(8,9)],11) generating graphics... => 11
([(0,10),(0,11),(1,8),(1,9),(2,6),(2,7),(3,4),(3,5),(4,5),(6,7),(8,9),(10,11)],12) generating graphics... => 20
([(4,5),(6,11),(7,11),(8,10),(9,10)],12) generating graphics... => 12
([(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12) generating graphics... => 22
([(0,7),(0,8),(1,2),(1,4),(2,3),(3,5),(4,6),(5,7),(6,8)],9) generating graphics... => 17
([(7,8),(7,9),(8,9)],10) generating graphics... => 10
([(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) generating graphics... => 18
([(3,9),(4,8),(5,7),(6,7),(8,10),(9,10)],11) generating graphics... => 11
([(7,10),(8,9),(8,10),(9,10)],11) generating graphics... => 11
([(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12) generating graphics... => 26
([(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) generating graphics... => 18
([(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) generating graphics... => 26
([(3,10),(4,10),(5,10),(6,7),(7,9),(8,9),(8,10)],11) generating graphics... => 11
([(1,8),(2,7),(3,10),(4,9),(5,9),(5,10),(6,7),(6,8)],11) generating graphics... => 13
([(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) generating graphics... => 9
([(7,10),(7,11),(8,9),(8,11),(9,10),(10,11)],12) generating graphics... => 12
([(0,11),(1,9),(2,7),(3,6),(4,8),(5,10),(6,7),(8,9),(10,11)],12) generating graphics... => 17
([(2,8),(3,7),(4,10),(5,9),(6,9),(6,10),(7,8)],11) generating graphics... => 12
([(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) generating graphics... => 15
([(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) generating graphics... => 10
([(3,7),(3,8),(4,5),(4,6),(5,6),(7,8)],9) generating graphics... => 10
([(4,10),(5,10),(6,10),(7,9),(8,9)],11) generating graphics... => 11
([(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12) generating graphics... => 12
([(3,7),(4,6),(4,7),(5,6),(5,7)],8) generating graphics... => 8
([(1,8),(2,7),(3,10),(4,9),(5,6),(5,9),(6,10),(7,8)],11) generating graphics... => 14
([(0,11),(1,10),(2,9),(3,8),(4,7),(5,6)],12) generating graphics... => 17
([(5,9),(6,9),(7,8),(8,9)],10) generating graphics... => 10
([(3,11),(4,10),(5,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 12
([(7,10),(8,9),(8,11),(9,11),(10,11)],12) generating graphics... => 12
([(2,11),(3,10),(4,5),(6,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 14
([(2,10),(3,10),(4,9),(5,9),(6,8),(7,8)],11) generating graphics... => 11
([(0,12),(1,12),(2,11),(3,10),(4,5),(6,7),(6,8),(7,9),(8,10),(9,11)],13) generating graphics... => 18
([(1,9),(1,10),(2,3),(2,4),(3,6),(4,5),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 14
([(1,8),(2,8),(3,7),(4,7),(5,10),(6,9),(9,10)],11) generating graphics... => 13
([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,9),(9,10),(10,11)],12) generating graphics... => 19
([(0,9),(1,8),(2,11),(3,10),(4,5),(4,6),(5,8),(6,9),(7,10),(7,11)],12) generating graphics... => 16
([(2,9),(3,9),(4,9),(5,9),(6,8),(7,8)],10) generating graphics... => 10
([(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8)],10) generating graphics... => 11
([(0,8),(1,7),(2,10),(3,9),(4,6),(4,9),(5,6),(5,10),(7,8)],11) generating graphics... => 15
([(0,12),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,11),(8,11),(9,11),(10,11)],13) generating graphics... => 15
([(0,15),(0,16),(1,15),(1,16),(2,15),(2,16),(3,15),(3,16),(4,15),(4,16),(5,15),(5,16),(6,15),(6,16),(7,15),(7,16),(8,15),(8,16),(9,15),(9,16),(10,15),(10,16),(11,15),(11,16),(12,15),(12,16),(13,15),(13,16),(14,15),(14,16)],17) generating graphics... => 57
([(5,10),(6,11),(7,11),(8,9),(8,10),(9,11)],12) generating graphics... => 12
([(0,8),(0,9),(1,2),(1,3),(2,5),(3,4),(4,6),(5,7),(6,8),(7,9)],10) generating graphics... => 14
([(0,1),(2,12),(3,10),(4,9),(5,11),(6,8),(7,8),(9,10),(11,12)],13) generating graphics... => 18
([(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12) generating graphics... => 12
([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10) generating graphics... => 14
([(2,3),(4,10),(5,9),(6,8),(7,8),(9,11),(10,11)],12) generating graphics... => 13
([],11) generating graphics... => 11
([(2,10),(3,9),(4,5),(6,7),(6,8),(7,9),(8,10)],11) generating graphics... => 12
([(0,14),(0,15),(1,14),(1,15),(2,14),(2,15),(3,14),(3,15),(4,14),(4,15),(5,14),(5,15),(6,14),(6,15),(7,14),(7,15),(8,14),(8,15),(9,14),(9,15),(10,14),(10,15),(11,14),(11,15),(12,14),(12,15),(13,14),(13,15)],16) generating graphics... => 54
([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(9,10)],12) generating graphics... => 17
([(4,9),(5,10),(6,10),(7,8),(7,9),(8,10)],11) generating graphics... => 11
([(0,12),(1,12),(2,11),(3,11),(4,10),(5,9),(6,7),(6,8),(7,9),(8,10)],13) generating graphics... => 17
([(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12) generating graphics... => 12
([(1,6),(2,5),(3,4),(7,10),(8,9),(9,11),(10,11)],12) generating graphics... => 15
([(3,8),(4,8),(5,8),(6,8),(7,8)],9) generating graphics... => 10
([(0,5),(1,4),(2,3),(6,12),(7,11),(8,10),(9,10),(11,12)],13) generating graphics... => 18
([(2,7),(3,7),(4,7),(5,7),(6,7)],8) generating graphics... => 10
([(6,11),(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 12
([(4,11),(5,9),(6,8),(7,10),(8,9),(10,11)],12) generating graphics... => 12
([(5,8),(6,8),(7,8)],9) generating graphics... => 9
([(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11) generating graphics... => 14
([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) generating graphics... => 26
([(4,5),(6,9),(7,9),(8,9)],10) generating graphics... => 10
([(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) generating graphics... => 21
([(1,6),(2,5),(3,4),(7,10),(8,9),(9,10)],11) generating graphics... => 14
([(5,10),(5,11),(6,7),(6,9),(7,8),(8,10),(9,11)],12) generating graphics... => 13
([(4,9),(5,9),(6,9),(7,9),(8,9)],10) generating graphics... => 10
([(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) generating graphics... => 9
([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) generating graphics... => 18
([(1,11),(2,11),(3,11),(4,11),(5,6),(6,10),(7,9),(7,11),(8,9),(8,10)],12) generating graphics... => 14
([(8,10),(9,10)],11) generating graphics... => 11
([(3,6),(4,5),(7,10),(8,9),(9,11),(10,11)],12) generating graphics... => 12
([(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(9,10)],11) generating graphics... => 11
([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7)],9) generating graphics... => 10
([(2,11),(3,11),(4,10),(5,9),(6,7),(6,8),(7,9),(8,10)],12) generating graphics... => 13
([(6,9),(6,10),(7,8),(7,10),(8,9),(8,10),(9,10)],11) generating graphics... => 11
([(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) generating graphics... => 10
([(3,4),(5,9),(6,9),(7,9),(8,9)],10) generating graphics... => 10
([(2,8),(2,9),(3,4),(3,5),(4,7),(5,6),(6,8),(7,9)],10) generating graphics... => 11
([(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) generating graphics... => 18
([(7,10),(8,9),(9,10)],11) generating graphics... => 11
([(4,9),(5,9),(6,8),(7,8),(8,9)],10) generating graphics... => 10
([(1,10),(2,9),(3,8),(4,7),(5,6)],11) generating graphics... => 14
([(7,11),(8,11),(9,10),(10,11)],12) generating graphics... => 12
([(6,9),(7,8),(7,10),(8,10),(9,10)],11) generating graphics... => 11
([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) generating graphics... => 33
([(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10) generating graphics... => 17
([(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11) generating graphics... => 11
([(6,7),(8,9),(8,10),(9,10)],11) generating graphics... => 11
([(2,9),(3,9),(4,9),(5,8),(6,8),(7,8)],10) generating graphics... => 10
([(6,10),(7,10),(8,9),(8,10),(9,10)],11) generating graphics... => 11
([(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12) generating graphics... => 12
([(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) generating graphics... => 14
([(6,10),(6,11),(7,8),(7,9),(8,11),(9,10)],12) generating graphics... => 12
([(9,10)],11) generating graphics... => 11
([(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) generating graphics... => 18
([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12) generating graphics... => 15
([(7,10),(8,10),(9,10)],11) generating graphics... => 11
([(4,11),(5,11),(6,11),(7,11),(8,9),(9,10),(10,11)],12) generating graphics... => 12
([(5,11),(6,11),(7,10),(8,9),(9,10)],12) generating graphics... => 12
([(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) generating graphics... => 30
([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,10),(7,10),(8,10),(9,10)],12) generating graphics... => 14
([(3,8),(3,9),(4,5),(4,7),(5,6),(6,8),(7,9)],10) generating graphics... => 13
([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,7),(7,9),(8,9),(8,10)],11) generating graphics... => 15
([(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12) generating graphics... => 15
([(1,2),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) generating graphics... => 15
([(5,9),(5,10),(6,7),(6,8),(7,10),(8,9)],11) generating graphics... => 11
([(3,10),(4,8),(5,7),(6,9),(7,8),(9,10)],11) generating graphics... => 11
([(4,7),(5,6),(8,10),(9,10)],11) generating graphics... => 11
([(0,1),(2,7),(3,6),(4,9),(5,8),(6,11),(7,11),(8,10),(9,10)],12) generating graphics... => 16
([(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,9),(9,10),(10,11)],12) generating graphics... => 15
([(5,8),(5,9),(6,7),(6,9),(7,8)],10) generating graphics... => 10
([(1,9),(2,8),(3,11),(4,10),(5,8),(5,9),(6,7),(6,10),(7,11)],12) generating graphics... => 15
([(0,12),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,9),(9,11),(10,11),(10,12)],13) generating graphics... => 19
([(2,11),(3,10),(4,9),(5,8),(6,7)],12) generating graphics... => 14
([(7,11),(8,10),(9,10),(9,11),(10,11)],12) generating graphics... => 12
([(6,11),(7,11),(8,10),(9,10)],12) generating graphics... => 12
([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) generating graphics... => 22
([(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,8),(7,8)],9) generating graphics... => 17
([(1,7),(1,8),(2,4),(2,5),(3,4),(3,5),(6,7),(6,8)],9) generating graphics... => 11
([(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10) generating graphics... => 10
([(3,4),(5,11),(6,10),(7,9),(8,9),(10,11)],12) generating graphics... => 12
([(1,11),(2,11),(3,11),(4,11),(5,11),(6,10),(7,10),(8,10),(9,10)],12) generating graphics... => 13
([(9,10),(9,11),(10,11)],12) generating graphics... => 12
([(3,8),(4,8),(5,7),(6,7),(7,8)],9) generating graphics... => 9
([(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12) generating graphics... => 33
([(0,5),(1,4),(2,3),(6,11),(7,11),(8,10),(9,10)],12) generating graphics... => 16
([(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10) generating graphics... => 10
([(6,9),(7,9),(8,9)],10) generating graphics... => 10
([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) generating graphics... => 14
([(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) generating graphics... => 10
([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,9),(9,10),(10,11)],12) generating graphics... => 17
([(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) generating graphics... => 11
([(3,7),(3,8),(4,5),(4,6),(5,8),(6,7)],9) generating graphics... => 9
([(3,9),(4,9),(5,9),(6,8),(7,8)],10) generating graphics... => 10
([(4,8),(5,8),(6,7),(6,8),(7,8)],9) generating graphics... => 9
([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) generating graphics... => 10
([(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12) generating graphics... => 14
([(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) generating graphics... => 14
([(0,1),(2,9),(3,9),(4,8),(5,8),(6,11),(7,10),(10,11)],12) generating graphics... => 16
([(4,11),(5,10),(6,7),(8,9),(8,10),(9,11)],12) generating graphics... => 12
([(0,11),(1,12),(2,12),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11),(10,12)],13) generating graphics... => 18
([(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(9,10),(10,11)],12) generating graphics... => 14
([(1,10),(1,11),(2,3),(2,5),(3,4),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 21
([(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11) generating graphics... => 11
([(0,5),(1,4),(2,3),(6,9),(7,8),(8,10),(9,10)],11) generating graphics... => 15
([(0,16),(0,17),(1,16),(1,17),(2,16),(2,17),(3,16),(3,17),(4,16),(4,17),(5,16),(5,17),(6,16),(6,17),(7,16),(7,17),(8,16),(8,17),(9,16),(9,17),(10,16),(10,17),(11,16),(11,17),(12,16),(12,17),(13,16),(13,17),(14,16),(14,17),(15,16),(15,17)],18) generating graphics... => 62
([(1,2),(3,8),(4,8),(5,8),(6,8),(7,8)],9) generating graphics... => 11
([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12) generating graphics... => 13
([(0,9),(1,8),(2,11),(3,10),(4,5),(4,6),(5,7),(6,8),(7,9),(10,11)],12) generating graphics... => 17
([(5,9),(6,10),(7,10),(8,9),(8,10)],11) generating graphics... => 11
([(4,8),(5,9),(6,9),(7,8),(7,9)],10) generating graphics... => 10
([(5,9),(6,9),(7,9),(8,9)],10) generating graphics... => 10
([(0,10),(0,11),(1,2),(1,3),(2,5),(3,4),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 17
([(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 15
([(1,2),(3,8),(4,7),(5,10),(6,9),(7,8),(9,11),(10,11)],12) generating graphics... => 15
([(0,12),(1,12),(2,12),(3,12),(4,12),(5,6),(6,11),(7,10),(7,12),(8,9),(8,10),(9,11)],13) generating graphics... => 17
([(2,11),(3,11),(4,11),(5,11),(6,11),(7,8),(8,10),(9,10),(9,11)],12) generating graphics... => 13
([(1,10),(2,11),(3,11),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 15
([(7,10),(7,11),(8,9),(8,11),(9,10)],12) generating graphics... => 12
([(0,11),(1,11),(2,11),(3,11),(4,11),(5,6),(6,10),(7,9),(7,11),(8,9),(8,10)],12) generating graphics... => 15
([(3,4),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 13
([(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10) generating graphics... => 11
([(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) generating graphics... => 18
([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) generating graphics... => 10
([(2,5),(3,4),(6,9),(7,8),(8,10),(9,10)],11) generating graphics... => 12
([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) generating graphics... => 11
([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 19
([(0,12),(1,12),(2,12),(3,12),(4,12),(5,12),(6,11),(7,11),(8,11),(9,11),(10,11)],13) generating graphics... => 16
([(0,7),(1,7),(2,6),(3,6),(4,9),(5,8),(8,10),(9,10)],11) generating graphics... => 14
([(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) generating graphics... => 11
([(3,11),(4,10),(5,6),(7,8),(7,9),(8,10),(9,11)],12) generating graphics... => 12
([(1,4),(2,3),(5,11),(6,10),(7,9),(8,9),(10,11)],12) generating graphics... => 15
([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8)],10) generating graphics... => 13
([(3,10),(4,9),(5,6),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 11
([(0,7),(1,7),(2,6),(3,6),(4,9),(5,8),(8,10),(9,11),(10,11)],12) generating graphics... => 16
([(7,11),(8,9),(8,10),(9,10),(9,11),(10,11)],12) generating graphics... => 12
([(0,11),(1,10),(2,3),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 17
([(2,10),(3,10),(4,9),(5,8),(6,7),(6,8),(7,9)],11) generating graphics... => 12
([(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12) generating graphics... => 12
([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) generating graphics... => 10
([(2,9),(3,9),(4,8),(5,8),(6,11),(7,10),(10,11)],12) generating graphics... => 13
([(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12) generating graphics... => 18
([(0,3),(1,2),(4,12),(5,12),(6,11),(7,11),(8,10),(9,10)],13) generating graphics... => 17
([(0,10),(1,9),(2,12),(3,11),(4,5),(6,9),(6,10),(7,8),(7,11),(8,12)],13) generating graphics... => 18
([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(9,10),(10,11)],12) generating graphics... => 15
([(4,7),(5,6),(8,11),(9,10),(10,11)],12) generating graphics... => 12
([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) generating graphics... => 11
([(0,12),(1,11),(2,3),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11),(10,12)],13) generating graphics... => 18
([(4,10),(4,11),(5,6),(5,7),(6,9),(7,8),(8,10),(9,11)],12) generating graphics... => 12
([(1,2),(3,9),(4,8),(5,7),(6,7),(8,10),(9,11),(10,11)],12) generating graphics... => 15
([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) generating graphics... => 18
([(4,7),(5,6),(5,8),(6,8),(7,8)],9) generating graphics... => 9
([(0,12),(1,12),(2,12),(3,12),(4,12),(5,12),(6,7),(7,11),(8,10),(8,12),(9,10),(9,11)],13) generating graphics... => 17
([(4,5),(6,7),(6,8),(7,8)],9) generating graphics... => 9
([(1,10),(2,10),(3,9),(4,8),(5,6),(5,7),(6,8),(7,9)],11) generating graphics... => 13
([(6,10),(7,10),(8,10),(9,10)],11) generating graphics... => 11
([(7,9),(7,10),(8,9),(8,10),(9,10)],11) generating graphics... => 11
([(0,1),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) generating graphics... => 15
([(0,12),(0,13),(1,12),(1,13),(2,12),(2,13),(3,12),(3,13),(4,12),(4,13),(5,12),(5,13),(6,12),(6,13),(7,12),(7,13),(8,12),(8,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13)],14) generating graphics... => 46
([(6,10),(7,8),(7,9),(8,9),(8,10),(9,10)],11) generating graphics... => 11
([(5,10),(6,10),(7,10),(8,9),(9,10)],11) generating graphics... => 11
([(2,3),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) generating graphics... => 13
([(2,5),(3,4),(6,9),(7,8),(8,10),(9,11),(10,11)],12) generating graphics... => 14
([(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12) generating graphics... => 12
([(4,7),(5,6),(5,7),(6,7)],8) generating graphics... => 8
([(3,8),(4,9),(5,9),(6,7),(6,8),(7,9)],10) generating graphics... => 10
([(3,8),(4,7),(5,6),(9,11),(10,11)],12) generating graphics... => 12
([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) generating graphics... => 10
([(3,7),(4,6),(5,6),(5,7),(6,7)],8) generating graphics... => 9
([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9)],11) generating graphics... => 15
([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) generating graphics... => 14
([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) generating graphics... => 15
([(5,7),(5,8),(6,7),(6,8),(7,8)],9) generating graphics... => 10
([(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12) generating graphics... => 12
([(2,3),(4,10),(5,9),(6,8),(7,8),(9,10)],11) generating graphics... => 12
([(3,4),(5,8),(6,7),(7,9),(8,10),(9,10)],11) generating graphics... => 11
([(7,11),(8,11),(9,10)],12) generating graphics... => 12
([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(9,10)],11) generating graphics... => 15
([(3,4),(5,10),(6,10),(7,9),(8,9)],11) generating graphics... => 11
([(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) generating graphics... => 11
([(4,9),(5,9),(6,9),(7,8),(8,9)],10) generating graphics... => 10
([(0,12),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,12),(9,10),(10,11),(11,12)],13) generating graphics... => 21
([(0,1),(2,9),(3,9),(4,8),(5,8),(6,11),(7,10),(10,12),(11,12)],13) generating graphics... => 17
([(2,3),(4,9),(5,9),(6,9),(7,9),(8,9)],10) generating graphics... => 11
([(5,11),(6,10),(7,9),(7,10),(8,9),(8,11)],12) generating graphics... => 12
([(5,8),(6,7),(6,9),(7,9),(8,9)],10) generating graphics... => 10
([(5,10),(6,9),(7,8)],11) generating graphics... => 11
([(1,9),(2,10),(3,10),(4,10),(5,6),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 13
([(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) generating graphics... => 10
([(3,7),(4,7),(5,6),(5,7),(6,7)],8) generating graphics... => 9
([(0,3),(1,2),(4,9),(5,8),(6,11),(7,10),(8,9),(10,12),(11,12)],13) generating graphics... => 18
([(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) generating graphics... => 21
([(4,11),(5,11),(6,11),(7,11),(8,10),(9,10)],12) generating graphics... => 12
([(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12) generating graphics... => 26
([(3,9),(3,10),(4,5),(4,6),(5,8),(6,7),(7,9),(8,10)],11) generating graphics... => 11
([(5,10),(6,9),(7,8),(7,9),(8,10)],11) generating graphics... => 11
([(3,10),(3,11),(4,8),(4,9),(5,6),(5,7),(6,7),(8,9),(10,11)],12) generating graphics... => 15
([(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10) generating graphics... => 13
([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,8),(8,10),(9,10),(9,11)],12) generating graphics... => 17
([(1,8),(1,9),(2,6),(2,7),(3,4),(3,5),(4,5),(6,7),(8,9)],10) generating graphics... => 15
([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) generating graphics... => 9
([(6,11),(7,10),(8,9),(8,10),(9,11)],12) generating graphics... => 12
([(3,10),(3,11),(4,5),(4,7),(5,6),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 17
([(4,5),(6,11),(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 12
([(3,11),(4,11),(5,11),(6,11),(7,8),(8,10),(9,10),(9,11)],12) generating graphics... => 12
([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(10,11)],12) generating graphics... => 17
([(3,9),(4,8),(5,11),(6,10),(7,10),(7,11),(8,9)],12) generating graphics... => 12
([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11) generating graphics... => 15
([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) generating graphics... => 10
([(5,6),(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 12
([(6,10),(7,10),(8,9),(9,10)],11) generating graphics... => 11
([(4,9),(5,9),(6,8),(6,9),(7,8),(7,9)],10) generating graphics... => 10
([(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11) generating graphics... => 11
([(2,9),(2,10),(3,4),(3,6),(4,5),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 17
([(4,8),(4,9),(5,6),(5,7),(6,9),(7,8)],10) generating graphics... => 10
([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12) generating graphics... => 13
([(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12) generating graphics... => 21
([(4,11),(5,11),(6,10),(7,9),(8,9),(8,10)],12) generating graphics... => 12
([(0,3),(1,2),(4,7),(5,6),(6,9),(7,10),(8,9),(8,10)],11) generating graphics... => 15
([(7,11),(8,10),(9,10),(9,11)],12) generating graphics... => 12
([(5,10),(6,10),(7,9),(7,10),(8,9),(8,10)],11) generating graphics... => 11
([(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9) generating graphics... => 9
([(1,11),(2,10),(3,4),(5,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 15
([(1,9),(2,10),(3,10),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 13
([(3,6),(4,5),(7,10),(8,9),(9,10)],11) generating graphics... => 11
([(7,11),(8,10),(8,11),(9,10),(9,11)],12) generating graphics... => 12
([(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,10),(8,10),(9,10)],11) generating graphics... => 17
([(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11) generating graphics... => 22
([(0,9),(1,8),(2,7),(3,6),(4,5),(10,12),(11,12)],13) generating graphics... => 18
([(2,7),(2,8),(3,4),(3,6),(4,5),(5,7),(6,8)],9) generating graphics... => 13
([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) generating graphics... => 18
([(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10) generating graphics... => 18
([(2,3),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 15
([(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12) generating graphics... => 12
([(3,4),(5,10),(6,10),(7,10),(8,10),(9,10)],11) generating graphics... => 11
([(0,1),(2,8),(3,7),(4,6),(5,6),(7,9),(8,10),(9,10)],11) generating graphics... => 15
([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9)],11) generating graphics... => 13
([(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9)],11) generating graphics... => 11
([(2,10),(3,11),(4,11),(5,11),(6,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 13
([(4,10),(5,11),(6,11),(7,9),(7,10),(8,9),(8,11)],12) generating graphics... => 12
([(3,9),(3,10),(4,6),(4,7),(5,6),(5,7),(8,9),(8,10)],11) generating graphics... => 11
([(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) generating graphics... => 18
([(0,3),(1,2),(4,7),(5,6),(6,10),(7,11),(8,9),(8,10),(9,11)],12) generating graphics... => 17
([(6,7),(6,8),(7,8)],9) generating graphics... => 9
([(6,10),(7,9),(8,9),(8,10)],11) generating graphics... => 11
([(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10) generating graphics... => 11
([(0,12),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,11),(9,11),(10,11)],13) generating graphics... => 17
([(0,1),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) generating graphics... => 17
([(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12) generating graphics... => 12
([(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) generating graphics... => 15
([(8,11),(9,11),(10,11)],12) generating graphics... => 12
([(8,11),(9,10),(9,11),(10,11)],12) generating graphics... => 12
([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,7),(7,9),(8,10),(8,11),(9,10)],12) generating graphics... => 17
([(8,10),(8,11),(9,10),(9,11),(10,11)],12) generating graphics... => 12
([(10,11)],12) generating graphics... => 12
([(1,10),(2,10),(3,10),(4,10),(5,6),(6,8),(7,9),(7,10),(8,9)],11) generating graphics... => 13
([(0,10),(1,9),(2,12),(3,11),(4,5),(4,6),(5,7),(6,11),(7,12),(8,9),(8,10)],13) generating graphics... => 18
([(0,11),(1,11),(2,10),(3,9),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10)],12) generating graphics... => 16
([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9) generating graphics... => 11
([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(10,12),(11,12)],13) generating graphics... => 18
([(2,3),(4,11),(5,9),(6,8),(7,10),(8,9),(10,11)],12) generating graphics... => 14
([],0) generating graphics... => 0
([],1) generating graphics... => 1
([],2) generating graphics... => 2
([(0,1)],2) generating graphics... => 2
([],3) generating graphics... => 3
([(1,2)],3) generating graphics... => 3
([(0,2),(1,2)],3) generating graphics... => 3
([(0,1),(0,2),(1,2)],3) generating graphics... => 6
([],4) generating graphics... => 4
([(2,3)],4) generating graphics... => 4
([(1,3),(2,3)],4) generating graphics... => 4
([(1,2),(1,3),(2,3)],4) generating graphics... => 6
([(0,3),(1,3),(2,3)],4) generating graphics... => 6
([(0,3),(1,2)],4) generating graphics... => 5
([(0,3),(1,2),(2,3)],4) generating graphics... => 5
([(0,3),(1,2),(1,3),(2,3)],4) generating graphics... => 7
([(0,2),(0,3),(1,2),(1,3)],4) generating graphics... => 6
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) generating graphics... => 10
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) generating graphics... => 18
([],5) generating graphics... => 5
([(3,4)],5) generating graphics... => 5
([(2,4),(3,4)],5) generating graphics... => 5
([(2,3),(2,4),(3,4)],5) generating graphics... => 6
([(1,4),(2,4),(3,4)],5) generating graphics... => 6
([(0,4),(1,4),(2,4),(3,4)],5) generating graphics... => 7
([(1,4),(2,3)],5) generating graphics... => 5
([(1,4),(2,3),(3,4)],5) generating graphics... => 5
([(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 7
([(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 6
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 10
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 18
([(0,1),(2,4),(3,4)],5) generating graphics... => 6
([(0,4),(1,4),(2,3),(3,4)],5) generating graphics... => 6
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 9
([(0,4),(1,3),(2,3),(2,4)],5) generating graphics... => 6
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) generating graphics... => 9
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) generating graphics... => 6
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 10
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 10
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 14
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) generating graphics... => 9
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) generating graphics... => 9
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 10
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 10
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 18
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) generating graphics... => 15
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 22
([(0,1),(2,3),(2,4),(3,4)],5) generating graphics... => 7
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) generating graphics... => 9
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) generating graphics... => 10
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 18
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) generating graphics... => 9
([],6) generating graphics... => 6
([(4,5)],6) generating graphics... => 6
([(3,5),(4,5)],6) generating graphics... => 6
([(3,4),(3,5),(4,5)],6) generating graphics... => 6
([(2,5),(3,5),(4,5)],6) generating graphics... => 6
([(1,5),(2,5),(3,5),(4,5)],6) generating graphics... => 7
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) generating graphics... => 10
([(2,5),(3,4)],6) generating graphics... => 6
([(2,5),(3,4),(4,5)],6) generating graphics... => 6
([(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 7
([(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 6
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 10
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 18
([(1,2),(3,5),(4,5)],6) generating graphics... => 6
([(1,5),(2,5),(3,4),(4,5)],6) generating graphics... => 6
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 9
([(1,5),(2,4),(3,4),(3,5)],6) generating graphics... => 6
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 9
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 6
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 10
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 10
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 14
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) generating graphics... => 9
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 9
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 10
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 10
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 18
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 15
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 22
([(1,2),(3,4),(3,5),(4,5)],6) generating graphics... => 7
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 9
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 10
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 18
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 9
([(0,1),(2,5),(3,5),(4,5)],6) generating graphics... => 7
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) generating graphics... => 7
([(0,5),(1,5),(2,4),(3,4)],6) generating graphics... => 7
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) generating graphics... => 8
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) generating graphics... => 7
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 14
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 18
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 7
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) generating graphics... => 10
([(0,5),(1,4),(2,3)],6) generating graphics... => 8
([(0,1),(2,5),(3,4),(4,5)],6) generating graphics... => 8
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) generating graphics... => 8
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) generating graphics... => 8
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 17
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) generating graphics... => 18
([],7) generating graphics... => 7
([(5,6)],7) generating graphics... => 7
([(4,6),(5,6)],7) generating graphics... => 7
([(4,5),(4,6),(5,6)],7) generating graphics... => 7
([(3,6),(4,6),(5,6)],7) generating graphics... => 7
([(2,6),(3,6),(4,6),(5,6)],7) generating graphics... => 7
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) generating graphics... => 10
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) generating graphics... => 11
([(3,6),(4,5)],7) generating graphics... => 7
([(3,6),(4,5),(5,6)],7) generating graphics... => 7
([(3,6),(4,5),(4,6),(5,6)],7) generating graphics... => 7
([(3,5),(3,6),(4,5),(4,6)],7) generating graphics... => 7
([(3,5),(3,6),(4,5),(4,6),(5,6)],7) generating graphics... => 10
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) generating graphics... => 18
([(2,3),(4,6),(5,6)],7) generating graphics... => 7
([(2,6),(3,6),(4,5),(5,6)],7) generating graphics... => 7
([(2,6),(3,6),(4,5),(4,6),(5,6)],7) generating graphics... => 9
([(2,6),(3,5),(4,5),(4,6)],7) generating graphics... => 7
([(2,6),(3,5),(4,5),(4,6),(5,6)],7) generating graphics... => 9
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) generating graphics... => 7
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) generating graphics... => 10
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) generating graphics... => 10
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) generating graphics... => 14
([(2,5),(2,6),(3,4),(3,6),(4,5)],7) generating graphics... => 9
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) generating graphics... => 9
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) generating graphics... => 10
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) generating graphics... => 10
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) generating graphics... => 18
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) generating graphics... => 15
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) generating graphics... => 22
([(2,3),(4,5),(4,6),(5,6)],7) generating graphics... => 7
([(2,5),(3,4),(3,6),(4,6),(5,6)],7) generating graphics... => 9
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) generating graphics... => 10
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) generating graphics... => 18
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) generating graphics... => 9
([(1,2),(3,6),(4,6),(5,6)],7) generating graphics... => 7
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) generating graphics... => 7
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) generating graphics... => 9
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) generating graphics... => 10
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) generating graphics... => 8
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) generating graphics... => 9
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) generating graphics... => 18
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) generating graphics... => 21
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) generating graphics... => 9
([(1,6),(2,6),(3,5),(4,5)],7) generating graphics... => 7
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) generating graphics... => 8
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) generating graphics... => 7
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) generating graphics... => 14
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) generating graphics... => 18
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) generating graphics... => 7
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) generating graphics... => 10
([(1,6),(2,5),(3,4)],7) generating graphics... => 8
([(1,2),(3,6),(4,5),(5,6)],7) generating graphics... => 8
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) generating graphics... => 8
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) generating graphics... => 8
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) generating graphics... => 17
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) generating graphics... => 18
([(0,3),(1,2),(4,6),(5,6)],7) generating graphics... => 9
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) generating graphics... => 9
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) generating graphics... => 9
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) generating graphics... => 13
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) generating graphics... => 9
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) generating graphics... => 9
([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) generating graphics... => 11
([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) generating graphics... => 10
([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) generating graphics... => 14
([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) generating graphics... => 11
([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) generating graphics... => 11
([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) generating graphics... => 10
([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) generating graphics... => 9
([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) generating graphics... => 9
([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) generating graphics... => 9
([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8) generating graphics... => 11
([(2,7),(3,6),(4,5),(4,6),(5,7)],8) generating graphics... => 8
([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8) generating graphics... => 10
([(1,2),(3,6),(4,5),(5,7),(6,7)],8) generating graphics... => 9
([(3,7),(4,6),(5,6),(5,7)],8) generating graphics... => 8
([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) generating graphics... => 11
([(1,7),(2,6),(3,5),(4,5),(6,7)],8) generating graphics... => 9
([(0,3),(1,2),(4,7),(5,6),(6,7)],8) generating graphics... => 11
([(2,3),(4,7),(5,6),(6,7)],8) generating graphics... => 8
([(4,7),(5,6),(6,7)],8) generating graphics... => 8
([(0,1),(2,7),(3,7),(4,6),(5,6)],8) generating graphics... => 10
([(2,7),(3,7),(4,6),(5,6)],8) generating graphics... => 8
([(1,4),(2,3),(5,7),(6,7)],8) generating graphics... => 9
([(3,4),(5,7),(6,7)],8) generating graphics... => 8
([(5,7),(6,7)],8) generating graphics... => 8
([(0,7),(1,6),(2,5),(3,4)],8) generating graphics... => 11
([(2,7),(3,6),(4,5)],8) generating graphics... => 8
([(4,7),(5,6)],8) generating graphics... => 8
([(6,7)],8) generating graphics... => 8
([],8) generating graphics... => 8
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) generating graphics... => 21
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) generating graphics... => 14
([(4,6),(4,7),(5,6),(5,7)],8) generating graphics... => 8
([(3,7),(4,7),(5,6),(6,7)],8) generating graphics... => 8
([(2,7),(3,7),(4,7),(5,6),(6,7)],8) generating graphics... => 8
([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) generating graphics... => 10
([(2,7),(3,7),(4,6),(5,6),(6,7)],8) generating graphics... => 8
([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) generating graphics... => 9
([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8) generating graphics... => 11
([(0,6),(0,7),(1,2),(1,3),(2,5),(3,4),(4,6),(5,7)],8) generating graphics... => 11
([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) generating graphics... => 9
([(2,6),(2,7),(3,4),(3,5),(4,7),(5,6)],8) generating graphics... => 8
([(3,6),(3,7),(4,5),(4,7),(5,6)],8) generating graphics... => 9
([(3,7),(4,7),(5,7),(6,7)],8) generating graphics... => 8
([(1,7),(2,7),(3,7),(4,6),(5,6)],8) generating graphics... => 8
([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) generating graphics... => 11
([(2,7),(3,7),(4,5),(5,6),(6,7)],8) generating graphics... => 8
([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) generating graphics... => 8
([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) generating graphics... => 10
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) generating graphics... => 26
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) generating graphics... => 18
([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) generating graphics... => 18
([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) generating graphics... => 15
([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) generating graphics... => 14
([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) generating graphics... => 11
([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) generating graphics... => 13
([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) generating graphics... => 11
([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) generating graphics... => 11
([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) generating graphics... => 12
([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) generating graphics... => 12
([(1,8),(2,7),(3,4),(3,5),(4,6),(5,7),(6,8)],9) generating graphics... => 11
([(1,7),(2,8),(3,8),(4,5),(4,6),(5,7),(6,8)],9) generating graphics... => 10
([(0,8),(1,7),(2,3),(4,5),(4,6),(5,7),(6,8)],9) generating graphics... => 12
([(2,8),(3,7),(4,5),(4,6),(5,7),(6,8)],9) generating graphics... => 9
([(0,8),(1,8),(2,7),(3,6),(4,5),(4,6),(5,7)],9) generating graphics... => 12
([(1,2),(3,6),(4,5),(5,7),(6,8),(7,8)],9) generating graphics... => 11
([(3,8),(4,7),(5,6),(5,7),(6,8)],9) generating graphics... => 9
([(0,6),(1,5),(2,8),(3,7),(4,7),(4,8),(5,6)],9) generating graphics... => 12
([(1,7),(2,6),(3,5),(4,5),(6,8),(7,8)],9) generating graphics... => 10
([(0,3),(1,2),(4,7),(5,6),(6,8),(7,8)],9) generating graphics... => 12
([(2,3),(4,7),(5,6),(6,8),(7,8)],9) generating graphics... => 9
([(4,8),(5,7),(6,7),(6,8)],9) generating graphics... => 9
([(1,8),(2,6),(3,5),(4,7),(5,6),(7,8)],9) generating graphics... => 11
([(0,1),(2,8),(3,7),(4,6),(5,6),(7,8)],9) generating graphics... => 12
([(2,8),(3,7),(4,6),(5,6),(7,8)],9) generating graphics... => 9
([(1,4),(2,3),(5,8),(6,7),(7,8)],9) generating graphics... => 11
([(3,4),(5,8),(6,7),(7,8)],9) generating graphics... => 9
([(5,8),(6,7),(7,8)],9) generating graphics... => 9
([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6)],9) generating graphics... => 11
([(1,2),(3,8),(4,8),(5,7),(6,7)],9) generating graphics... => 10
([(3,8),(4,8),(5,7),(6,7)],9) generating graphics... => 9
([(0,5),(1,4),(2,3),(6,8),(7,8)],9) generating graphics... => 12
([(2,5),(3,4),(6,8),(7,8)],9) generating graphics... => 9
([(4,8),(5,8),(6,7)],9) generating graphics... => 9
([(6,8),(7,8)],9) generating graphics... => 9
([(1,8),(2,7),(3,6),(4,5)],9) generating graphics... => 11
([(3,8),(4,7),(5,6)],9) generating graphics... => 9
([(5,8),(6,7)],9) generating graphics... => 9
([(7,8)],9) generating graphics... => 9
([],9) generating graphics... => 9
([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10) generating graphics... => 14
([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10) generating graphics... => 13
([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) generating graphics... => 18
([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10) generating graphics... => 15
([(1,9),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10) generating graphics... => 12
([(1,8),(2,9),(3,9),(4,5),(4,6),(5,7),(6,8),(7,9)],10) generating graphics... => 12
([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) generating graphics... => 14
([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10) generating graphics... => 15
([(0,8),(1,9),(2,9),(3,9),(4,5),(4,6),(5,7),(6,8),(7,9)],10) generating graphics... => 13
([(0,9),(1,8),(2,3),(4,5),(4,6),(5,7),(6,8),(7,9)],10) generating graphics... => 14
([(2,9),(3,8),(4,5),(4,6),(5,7),(6,8),(7,9)],10) generating graphics... => 11
([(0,9),(1,9),(2,8),(3,7),(4,5),(4,6),(5,7),(6,8)],10) generating graphics... => 13
([(1,9),(2,8),(3,4),(5,6),(5,7),(6,8),(7,9)],10) generating graphics... => 12
([(3,9),(4,8),(5,6),(5,7),(6,8),(7,9)],10) generating graphics... => 10
([(0,7),(1,6),(2,9),(3,8),(4,5),(4,8),(5,9),(6,7)],10) generating graphics... => 14
([(1,9),(2,9),(3,8),(4,7),(5,6),(5,7),(6,8)],10) generating graphics... => 12
([(0,3),(1,2),(4,7),(5,6),(6,8),(7,9),(8,9)],10) generating graphics... => 14
([(2,3),(4,7),(5,6),(6,8),(7,9),(8,9)],10) generating graphics... => 11
([(4,9),(5,8),(6,7),(6,8),(7,9)],10) generating graphics... => 10
([(0,7),(1,6),(2,9),(3,8),(4,8),(4,9),(5,6),(5,7)],10) generating graphics... => 13
([(1,7),(2,6),(3,9),(4,8),(5,8),(5,9),(6,7)],10) generating graphics... => 12
([(0,1),(2,8),(3,7),(4,6),(5,6),(7,9),(8,9)],10) generating graphics... => 13
([(2,8),(3,7),(4,6),(5,6),(7,9),(8,9)],10) generating graphics... => 10
([(1,4),(2,3),(5,8),(6,7),(7,9),(8,9)],10) generating graphics... => 12
([(3,4),(5,8),(6,7),(7,9),(8,9)],10) generating graphics... => 10
([(5,9),(6,8),(7,8),(7,9)],10) generating graphics... => 10
([(0,1),(2,9),(3,7),(4,6),(5,8),(6,7),(8,9)],10) generating graphics... => 14
([(2,9),(3,7),(4,6),(5,8),(6,7),(8,9)],10) generating graphics... => 11
([(0,7),(1,7),(2,6),(3,6),(4,9),(5,8),(8,9)],10) generating graphics... => 13
([(1,2),(3,9),(4,8),(5,7),(6,7),(8,9)],10) generating graphics... => 12
([(3,9),(4,8),(5,7),(6,7),(8,9)],10) generating graphics... => 10
([(0,5),(1,4),(2,3),(6,9),(7,8),(8,9)],10) generating graphics... => 14
([(2,5),(3,4),(6,9),(7,8),(8,9)],10) generating graphics... => 11
([(4,9),(5,8),(6,7),(8,9)],10) generating graphics... => 10
([(6,9),(7,8),(8,9)],10) generating graphics... => 10
([(1,9),(2,9),(3,8),(4,8),(5,7),(6,7)],10) generating graphics... => 11
([(0,3),(1,2),(4,9),(5,9),(6,8),(7,8)],10) generating graphics... => 13
([(2,3),(4,9),(5,9),(6,8),(7,8)],10) generating graphics... => 10
([(4,9),(5,9),(6,8),(7,8)],10) generating graphics... => 10
([(1,6),(2,5),(3,4),(7,9),(8,9)],10) generating graphics... => 12
([(3,6),(4,5),(7,9),(8,9)],10) generating graphics... => 10
([(5,9),(6,9),(7,8)],10) generating graphics... => 10
([(7,9),(8,9)],10) generating graphics... => 10
([(0,9),(1,8),(2,7),(3,6),(4,5)],10) generating graphics... => 14
([(2,9),(3,8),(4,7),(5,6)],10) generating graphics... => 11
([(4,9),(5,8),(6,7)],10) generating graphics... => 10
([(6,9),(7,8)],10) generating graphics... => 10
([(8,9)],10) generating graphics... => 10
([],10) generating graphics... => 10
([(0,9),(1,9),(2,9),(3,9),(4,5),(5,7),(6,8),(6,9),(7,8)],10) generating graphics... => 13
([(0,9),(1,9),(2,9),(3,9),(4,9),(5,6),(6,8),(7,8),(7,9)],10) generating graphics... => 13
([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) generating graphics... => 30
([(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) generating graphics... => 21
([(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) generating graphics... => 14
([(6,8),(6,9),(7,8),(7,9)],10) generating graphics... => 10
([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 15
([(0,9),(1,10),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 15
([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) generating graphics... => 19
([(1,10),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 14
([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11) generating graphics... => 15
([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11) generating graphics... => 18
([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(9,10)],11) generating graphics... => 17
([(0,9),(1,10),(2,10),(3,10),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11) generating graphics... => 14
([(0,11),(1,10),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 17
([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(9,10),(10,11)],12) generating graphics... => 18
([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12) generating graphics... => 19
([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) generating graphics... => 22
([(0,10),(1,11),(2,11),(3,11),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 16
([(0,10),(1,11),(2,11),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) generating graphics... => 16
([(0,11),(1,9),(2,8),(3,10),(4,5),(4,8),(5,9),(6,7),(6,10),(7,11)],12) generating graphics... => 17
([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12) generating graphics... => 38
([(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12) generating graphics... => 30
([(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12) generating graphics... => 21
([(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12) generating graphics... => 14
([(8,10),(8,11),(9,10),(9,11)],12) generating graphics... => 12
([],12) generating graphics... => 12
click to show generating function       
Description
The Ramsey number of a graph.
This is the smallest integer $n$ such that every two-colouring of the edges of the complete graph $K_n$ contains a (not necessarily induced) monochromatic copy of the given graph. [1]
Thus, the Ramsey number of the complete graph $K_n$ is the ordinary Ramsey number $R(n,n)$. Very few of these numbers are known, in particular, it is only known that $43\leq R(5,5)\leq 48$. [2,3,4,5]
References
[1] Chvatál, C., Rödl, V., Szemerédi, E., Trotter, Jr., W. T. The Ramsey number of a graph with bounded maximum degree MathSciNet:0714447
[2] Radziszowski, Stanisław P. Small Ramsey numbers MathSciNet:1670625
[3] wikipedia:Ramsey's theorem#Ramsey numbers
[4] Hendry, G. R. T. Ramsey numbers for graphs with five vertices MathSciNet:0994745
[5] Angeltveit, V., McKay, B. D. $R(5,5) \le 48$ arXiv:1703.08768
Code
N_vertices = 13 # the maximal number of vertices we consider
N_Ramsey = 7 # all graphs with Ramsey number at most N_Ramsey
statistic_dict = dict()
def statistic(G):
    return statistic_dict.get(G.canonical_label().copy(immutable=True))

"""
The Ramsey number of a graph.

This is the smallest integer $n$ such that every two-colouring of the
$n$ vertices of the complete graph $K_n$ contains a (not necessarily
induced) monochromatic copy of the given graph. [1]

Thus, the Ramsey number of the complete graph $K_n$ is the ordinary Ramsey number $R(n,n)$.  Very few of these numbers are known. [2,3]

[1] Chvatál,Rödl,Szemerédi,Trotter, The Ramsey number of a graph with bounded maximum degree. doi:10.1016/0095-8956(83)90037-0

[2] Radziszowski, Stanisław P. "Small Ramsey numbers." Electron. J. Combin 1.7 (1994).

[3] [[wikipedia:Ramsey's theorem#Ramsey numbers]]

[4] Hendry, G. R. T. Ramsey numbers for graphs with five vertices

"""
def check_Ramsey(n, already_found=[]):
    """Colour the complete graph on n vertices with two colours, and
    return the subgraphs which appear in all colourings.

    sage: L = dict()
    sage: n = 2; L[n] = check_Ramsey(n)
    sage: n = 3; L[n] = check_Ramsey(n, sum(L.values(), []))
    sage: n = 4; L[n] = check_Ramsey(n, sum(L.values(), []))
    sage: n = 5; L[n] = check_Ramsey(n, sum(L.values(), []))
    sage: n = 6; L[n] = check_Ramsey(n, sum(L.values(), []))
    sage: n = 7; L[n] = check_Ramsey(n, sum(L.values(), []))

    sage: n=6; graphics_array([H.plot() for H in L[n] if H.is_connected()])
    """
    def has_copy(H1, H2, H):
        """
        Return True if there is a copy of H in H1=s or H2=E\s.
        """
        S1 = H1.subgraph_search(H)
        if not S1 is None:
            return True
        S2 = H2.subgraph_search(H)
        if not S2 is None:
            return True
        return False

    candidates = [H.canonical_label() for k in range(n+1) for H in graphs(k)]
    candidates = [H for H in candidates if H not in already_found]
    G = graphs.CompleteGraph(n)
    E = Set(G.edges(labels=False))
    V = G.vertices()
    for size in range(1+len(E)//2):
        print "check subgraphs of size", size
        tested = []
        for s in E.subsets(size):
            H1 = Graph(n)
            H1.add_edges(s)
            H1 = H1.canonical_label()
            H2 = Graph(n)
            H2.add_edges(E.difference(s))
            H2 = H2.canonical_label()
            if (H1, H2) not in tested:
                tested += [(H1, H2)]
                candidates = [H for H in candidates if has_copy(H1, H2, H)]

    return candidates

def add_to_dict(G, v):
    H = G.canonical_label().copy(immutable=True)
    if H in statistic_dict:
        assert statistic_dict[H] == v, "The graph %s should have Ramsey number %s, got %s instead"%(repr(H), statistic_dict[H], v)
        print "%s already known to have Ramsey value %s"%(repr(H), v)
    else:
        statistic_dict[H] = v

Ramsey_small = dict()
for n in range(N_Ramsey+1):
    Ramsey_small[n] = check_Ramsey(n, sum(Ramsey_small.values(), []))

for v, lG in Ramsey_small.items():
    for G in lG:
        add_to_dict(G, v)

# table IIIa
Ramsey_almost_complete = dict()
Ramsey_almost_complete[3] = 3
Ramsey_almost_complete[4] = 10
Ramsey_almost_complete[5] = 22

for n, v in Ramsey_almost_complete.items():
    G = graphs.CompleteGraph(n)
    G.delete_edge(G.edges()[0])
    add_to_dict(G, v)

# G8 - G20 are from Table 1 in
# Hendry, G. R. T. Ramsey numbers for graphs with five vertices

G8 = Graph([(1,2),(2,3),(3,4),(4,5),(3,5)]).canonical_label().copy(immutable=True)
G9 = Graph([(1,2),(2,3),(3,4),(4,5),(2,4)]).canonical_label().copy(immutable=True)
G10 = Graph([(1,2),(1,3),(1,4),(1,5),(2,3)]).canonical_label().copy(immutable=True)
G12 = Graph([(1,2),(2,3),(3,4),(4,5),(1,3),(3,5)]).canonical_label().copy(immutable=True)
G13 = Graph([(1,2),(1,3),(1,4),(1,5),(2,3),(3,4)]).canonical_label().copy(immutable=True)
G14 = Graph([(1,2),(1,3),(1,4),(2,5),(2,3),(3,4)]).canonical_label().copy(immutable=True)
G15 = Graph([(1,2),(2,3),(3,4),(4,5),(5,1),(1,3)]).canonical_label().copy(immutable=True)
G16 = Graph([(1,2),(2,3),(3,4),(4,5),(5,1),(1,3),(1,4)]).canonical_label().copy(immutable=True)
G17 = Graph([(1,2),(2,3),(3,4),(4,5),(5,1),(1,3),(2,4)]).canonical_label().copy(immutable=True)
G19 = Graph([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(1,5)]).canonical_label().copy(immutable=True)
G20 = Graph([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(1,5),(2,5)]).canonical_label().copy(immutable=True)

Ramsey_Hendry = [(G8, 9), (G9, 9), (G10, 9), (G12, 9), (G13, 10), (G14, 10), (G15, 9), (G16, 10), (G17, 10), (G19, 18), (G20, 18)]

for G, v in Ramsey_Hendry:
    add_to_dict(G, v)

# table IVa and IVb
Ramsey_bipartite = dict()
Ramsey_bipartite[3, 3] = 18
Ramsey_bipartite[2, 2] = 6
Ramsey_bipartite[2, 3] = 10
Ramsey_bipartite[2, 4] = 14
Ramsey_bipartite[2, 5] = 18
Ramsey_bipartite[2, 6] = 21
Ramsey_bipartite[2, 7] = 26
Ramsey_bipartite[2, 8] = 30
Ramsey_bipartite[2, 9] = 33
Ramsey_bipartite[2, 10] = 38
Ramsey_bipartite[2, 11] = 42
Ramsey_bipartite[2, 12] = 46
Ramsey_bipartite[2, 13] = 50
Ramsey_bipartite[2, 14] = 54
Ramsey_bipartite[2, 15] = 57
Ramsey_bipartite[2, 16] = 62

for (n,m), v in Ramsey_bipartite.items():
    add_to_dict(graphs.CompleteBipartiteGraph(n,m), v)

# section 3.3.2 a
def Ramsey_star(n):
    m = n-1
    assert m > 0
    if is_even(m):
        return 2*m-1
    else:
        return 2*m

for n in range(2, N_vertices+1):
    add_to_dict(graphs.StarGraph(n-1), Ramsey_star(n))

# section 3.3.2, n
def Ramsey_m_4_star(n):
    assert n % 4 == 0, "The number of vertices, %s, should be divisible by 4"%n
    m = n//4
    assert m >= 2, "There must be at least 2 copies of the star, but there are only %s"%m
    return 5*m-1

for n in range(8, N_vertices+1, 4):
    add_to_dict(sum([graphs.StarGraph(3) for k in range(n//4)], Graph()), Ramsey_m_4_star(n))

# section 4.1, a,b,c
def Ramsey_cycle(n):
    assert n > 2
    if is_odd(n) and n > 3:
        return 2*n-1
    elif is_even(n) and n > 4:
        return n-1+(n//2)
    elif n == 3 or n == 4:
        return 6

for n in range(3, N_vertices+1):
    add_to_dict(graphs.CycleGraph(n), Ramsey_cycle(n))

# section 4.1, e
def Ramsey_m_triangles(n):
    assert n % 3 == 0, "The number of vertices, %s, should be divisible by 3"%n
    m = n // 3
    assert m >= 2, "There must be at least 2 copies of the triangle, but there are only %s"%m
    return 5*m

for n in range(6, N_vertices+1, 3):
    add_to_dict(sum([graphs.CycleGraph(3) for k in range(n//3)], Graph()), Ramsey_m_triangles(n))

# section 4.1, f
def Ramsey_m_squares(n):
    assert n % 4 == 0, "The number of vertices, %s, should be divisible by 4"%n
    m = n // 4
    assert m >= 2, "There must be at least 2 copies of the square, but there are only %s"%m
    return 6*m-1

for n in range(8, N_vertices+1, 4):
    add_to_dict(sum([graphs.CycleGraph(4) for k in range(n//4)], Graph()), Ramsey_m_squares(n))

# section 5.1
def Ramsey_paths(m):
    assert m >= 2
    return m + (m//2) - 1

for n in range(2, N_vertices+1):
    add_to_dict(graphs.PathGraph(n), Ramsey_paths(n))

# section 5.13 b
def Ramsey_union_K2(m):
    assert is_even(m) and m >= 2
    return 3*(m//2) - 1

for n in range(2, N_vertices+1, 2):
    add_to_dict(sum([graphs.CompleteGraph(2) for k in range(n//2)], Graph()), Ramsey_union_K2(n))

Ramsey_wheel = dict()
# table VIII
Ramsey_wheel[3] = 6
Ramsey_wheel[4] = 18
Ramsey_wheel[5] = 15
Ramsey_wheel[6] = 17

for n, v in Ramsey_wheel.items():
    add_to_dict(graphs.WheelGraph(n), v)

Ramsey_book = dict()
# table IX
Ramsey_book[1] = 6
Ramsey_book[2] = 10
Ramsey_book[3] = 14
Ramsey_book[4] = 18
Ramsey_book[5] = 21
Ramsey_book[6] = 26

for n, v in Ramsey_book.items():
    add_to_dict(Graph(1).join(graphs.StarGraph(n)), v)

# R.J. Faudree and R.H. Schelp, Ramsey Numbers for All Linear Forests, Discrete Mathematics, 16 (1976) 149-155.

def Ramsey_linear_forest(n, j):
    assert is_even(n-j)
    return n + (n-j)//2 - 1

for n in range(2, N_vertices+1):
    for la in Partitions(n):
        if min(la) > 1:
            G = sum([graphs.PathGraph(p) for p in la], Graph())
            add_to_dict(G, Ramsey_linear_forest(n, sum(1 for p in la if is_odd(p))))

# J.W. Grossman, The Ramsey Numbers of the Union of Two Stars, Utilitas Mathematica, 16 (1979) 271-279.

def Ramsey_two_stars(n, m):
    assert n >= m, "Ramsey_two_stars only valid for n >= m, but n = %s and m = %s"%(n,m)
    return max(n+2*m, 2*n+1, n+m+3)

for n in range(2, N_vertices+1):
    for m in range(2,(n-1)//2+1):
        G = graphs.StarGraph(m-1) + graphs.StarGraph(n-m-1)
        add_to_dict(G, Ramsey_two_stars(n-m-1, m-1))

# Yu, P., & Li, Y. (2016). All Ramsey numbers for brooms in graphs. The Electronic Journal of Combinatorics, 23(3), 3-29.
def Ramsey_broom(k, l):
    assert k >= 2
    n = k+l
    if l == 1 or l == 2:
        return Ramsey_star(n)
    if l == 3:
        return Ramsey_star(n-1)
    if l >= 2*k - 1:
        return n + (l+1)//2 - 1
    if 4 <= l <= 2*k - 2:
        return 2*n - 2*((l+1)//2) - 1

def BroomGraph(k, l):
    G = graphs.StarGraph(k)
    assert G.degree(0) == k
    G.add_path([0] + [k+1+i for i in range(l-1)])
    G.layout("tree", save_pos=True)
    return G

for n in range(2, N_vertices+1):
    for k in range(2,n-1):
        G = BroomGraph(k, n-k)
        add_to_dict(G, Ramsey_broom(k, n-k))

# Jerrold W. Grossman, Frank Harary, Maria Klawe, Generalized Ramsey theory for graphs, X: double stars
        
def Ramsey_double_star(k, l):
    assert k >= 2
    n = k+l+2
    if is_odd(k) and l <= 2:
        return max(2*k+1, k+2*l+2)
    if (is_even(k) or l >= 3) and (k^2 <= 2*l or k >= 3*l):
        return max(2*k+2, k+2*l+2)
        
def DoubleStarGraph(k, l):
    assert k >= l, "DoubleStarGraph only defined for k >= l"
    G = graphs.StarGraph(k)
    H = G.disjoint_union(graphs.StarGraph(l), "pairs")
    H.add_edge((0,0),(1,0))
    return H

for n in range(2, N_vertices+1):
    for l in range(2,n//2):
        k = n-l-2
        G = DoubleStarGraph(k, l)
        assert G.num_verts() == n
        if (is_odd(k) and l <= 2) or ((is_even(k) or l >= 3) and (k^2 <= 2*l or k >= 3*l)):
            add_to_dict(G, Ramsey_double_star(k, l))


######################################################################
# finally, add isolated vertices
for G, v in list(statistic_dict.items()):
    for k in range(N_vertices-G.num_verts()):
        add_to_dict(G.disjoint_union(Graph(k)), max(G.num_verts()+k, v))

Created
May 07, 2016 at 08:53 by Martin Rubey
Updated
Dec 31, 2018 at 00:23 by Martin Rubey