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Identifier
Values
=>
Cc0029;cc-rep
([(0,1)],2)=>0 ([(0,2),(2,1)],3)=>1 ([(0,1),(0,2),(1,3),(2,3)],4)=>0 ([(0,3),(2,1),(3,2)],4)=>2 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>1 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>1 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>1 ([(0,4),(2,3),(3,1),(4,2)],5)=>3 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>2 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>2 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>2 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>2 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>2 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>2 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>2 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>2 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>4 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>2 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>2 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>4 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>4 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>3 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>3 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>3 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>3 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>3 ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>3 ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>3 ([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>5 ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>3 ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>3 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>3 ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 ([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)=>3 ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>3 ([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>3 ([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>3 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>3 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>3 ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)=>3 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>3 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>3 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)=>5 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>5 ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)=>3 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>1 ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>5 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>5 ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>3 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>5 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>3 ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>3 ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)=>3 ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>5 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>3 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>3 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>3 ([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)=>3 ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>3 ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>5 ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>5 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>3 ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)=>3 ([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)=>3 ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>3 ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>3 ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>5 ([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)=>3 ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>3 ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>3 ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>5 ([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)=>5 ([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)=>5 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>4 ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8)=>4 ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8)=>4 ([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8)=>4 ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>4 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>4 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>4 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>4 ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>4 ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8)=>6 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)=>2 ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>6 ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>6 ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>6 ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)=>6 ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2)],8)=>4 ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8)=>4 ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>6 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>0 ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>4 ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>6 ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>5 ([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)=>1 ([(0,3),(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8)],9)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)=>5 ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)=>5 ([(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(7,6),(8,1)],9)=>7 ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>7 ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,5)],9)=>5 ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9)=>7 ([(0,2),(0,3),(2,8),(3,8),(4,6),(5,4),(6,1),(7,5),(8,7)],9)=>7 ([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9)=>7 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)=>3 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)=>3 ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)=>5 ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)=>5 ([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9)=>7 ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9)=>7 ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>5 ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9)=>7 ([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,3),(7,4)],9)=>5 ([(0,4),(0,5),(1,8),(2,8),(3,8),(4,3),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8)],9)=>5 ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)=>3 ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(8,5)],9)=>5 ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9)=>7 ([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9)=>5 ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>7 ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>7 ([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)=>7 ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)=>7 ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9)=>5 ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>7 ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9)=>7 ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9)=>7 ([(0,6),(1,9),(2,9),(3,8),(4,8),(6,7),(7,1),(7,2),(8,5),(9,3),(9,4)],10)=>8 ([(0,7),(1,9),(2,9),(4,8),(5,8),(6,3),(7,1),(7,2),(8,6),(9,4),(9,5)],10)=>8 ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)=>2 ([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)=>6 ([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10)=>8 ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)=>4 ([(0,4),(1,7),(1,8),(2,6),(2,8),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3),(6,9),(7,9),(8,9)],10)=>2 ([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10)=>8 ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)=>6 ([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10)=>6 ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)=>6 ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10)=>6 ([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10)=>8 ([(0,6),(1,9),(2,9),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,8),(9,4),(9,5)],10)=>6 ([(0,3),(0,4),(1,9),(2,8),(3,7),(4,7),(5,1),(5,8),(6,2),(6,5),(7,6),(8,9)],10)=>6 ([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10)=>8 ([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(8,1),(8,2),(9,3),(9,4)],10)=>6 ([(0,4),(0,5),(1,8),(3,7),(4,9),(5,9),(6,1),(6,7),(7,8),(8,2),(9,3),(9,6)],10)=>8 ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)=>8 ([(0,6),(2,9),(3,7),(4,2),(4,8),(5,4),(5,7),(6,3),(6,5),(7,8),(8,9),(9,1)],10)=>8 ([(0,6),(1,9),(2,7),(3,7),(4,8),(5,1),(5,8),(6,4),(6,5),(8,9),(9,2),(9,3)],10)=>6 ([(0,5),(0,6),(1,8),(2,8),(4,9),(5,7),(6,4),(6,7),(7,9),(8,3),(9,1),(9,2)],10)=>8 ([(0,4),(0,5),(1,9),(2,7),(3,7),(4,8),(5,1),(5,8),(6,2),(6,3),(8,9),(9,6)],10)=>6 ([(0,3),(0,6),(2,8),(3,7),(4,2),(4,9),(5,1),(6,4),(6,7),(7,9),(8,5),(9,8)],10)=>8 ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)=>6 ([(0,7),(2,9),(3,9),(4,8),(5,8),(6,2),(6,3),(7,4),(7,5),(8,6),(9,1)],10)=>8 ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10)=>8 ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10)=>8 ([(0,3),(0,7),(2,9),(3,8),(4,6),(5,4),(6,1),(7,2),(7,8),(8,9),(9,5)],10)=>8 ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(6,9),(7,9),(9,8)],10)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(8,9)],10)=>4 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(9,7)],10)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(9,8)],10)=>4 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(8,9)],10)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)=>6 ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>8 ([(0,7),(2,9),(3,9),(4,1),(5,8),(6,4),(7,5),(8,2),(8,3),(9,6)],10)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>6 ([(0,5),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,2),(6,7),(7,3),(7,4),(8,1),(8,6)],10)=>6 ([(0,5),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,3),(6,4),(7,1),(7,2),(8,6),(8,7)],10)=>6 ([(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,1),(6,2),(7,3),(7,4),(8,5),(8,6)],10)=>6 ([(0,7),(2,9),(3,9),(4,5),(5,8),(6,1),(7,4),(8,2),(8,3),(9,6)],10)=>8 ([(0,7),(2,9),(3,9),(4,1),(5,4),(6,5),(7,8),(8,2),(8,3),(9,6)],10)=>8 ([(0,8),(2,9),(3,9),(4,9),(5,1),(6,5),(7,3),(7,4),(8,2),(8,7),(9,6)],10)=>8 ([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11)=>7 ([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)=>3 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)=>7 ([(0,3),(0,4),(0,5),(2,9),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,10),(7,10),(8,2),(8,10),(9,1),(10,9)],11)=>9 ([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11)=>5 ([(0,4),(0,5),(2,7),(2,9),(3,7),(3,8),(4,6),(5,2),(5,3),(5,6),(6,8),(6,9),(7,10),(8,10),(9,10),(10,1)],11)=>9 ([(0,4),(0,5),(1,7),(1,8),(2,6),(2,8),(3,6),(3,7),(4,9),(5,9),(6,10),(7,10),(8,10),(9,1),(9,2),(9,3)],11)=>3 ([(0,4),(0,5),(1,10),(2,7),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(6,10),(8,9),(9,7),(10,2),(10,9)],11)=>7 ([(0,6),(2,8),(2,9),(3,7),(3,9),(4,7),(4,8),(5,1),(6,2),(6,3),(6,4),(7,10),(8,10),(9,10),(10,5)],11)=>9 ([(0,5),(1,8),(1,9),(2,7),(2,9),(3,7),(3,8),(4,6),(5,4),(6,1),(6,2),(6,3),(7,10),(8,10),(9,10)],11)=>3 ([(0,2),(0,3),(0,4),(2,8),(2,9),(3,7),(3,9),(4,7),(4,8),(5,1),(6,5),(7,10),(8,10),(9,10),(10,6)],11)=>9 ([(0,6),(2,9),(3,8),(4,3),(4,7),(5,2),(5,7),(6,4),(6,5),(7,8),(7,9),(8,10),(9,10),(10,1)],11)=>9 ([(0,5),(2,8),(2,9),(3,7),(3,9),(4,7),(4,8),(5,6),(6,2),(6,3),(6,4),(7,10),(8,10),(9,10),(10,1)],11)=>9 ([(0,5),(0,6),(1,10),(2,7),(3,7),(4,8),(5,9),(6,4),(6,9),(8,10),(9,1),(9,8),(10,2),(10,3)],11)=>7 ([(0,4),(0,5),(1,8),(2,10),(3,7),(4,9),(5,9),(6,3),(6,10),(7,8),(9,2),(9,6),(10,1),(10,7)],11)=>7 ([(0,6),(1,8),(2,9),(3,10),(4,7),(5,3),(5,9),(6,2),(6,5),(7,8),(9,4),(9,10),(10,1),(10,7)],11)=>7 ([(0,5),(0,6),(1,10),(3,7),(4,8),(5,9),(6,1),(6,9),(7,8),(8,2),(9,3),(9,10),(10,4),(10,7)],11)=>9 ([(0,4),(0,6),(1,10),(2,9),(3,8),(4,7),(5,2),(5,8),(6,1),(6,7),(7,10),(8,9),(10,3),(10,5)],11)=>7 ([(0,5),(0,6),(2,9),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8),(7,9),(8,10),(9,10),(10,4)],11)=>9 ([(0,3),(0,6),(2,10),(3,7),(4,5),(4,9),(5,2),(5,8),(6,4),(6,7),(7,9),(8,10),(9,8),(10,1)],11)=>9 ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>9 ([(0,7),(2,8),(3,9),(4,5),(4,8),(5,3),(5,10),(6,1),(7,2),(7,4),(8,10),(9,6),(10,9)],11)=>9 ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>9 ([(0,3),(0,7),(2,10),(3,8),(4,5),(5,1),(6,2),(6,9),(7,6),(7,8),(8,9),(9,10),(10,4)],11)=>9 ([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11)=>9 ([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)=>3 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(10,8)],11)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,6),(3,7),(4,7),(5,6),(5,8),(6,10),(7,8),(8,10),(10,9)],11)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,9),(4,8),(5,7),(6,8),(6,9),(8,10),(9,10),(10,7)],11)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(1,9),(2,7),(3,7),(4,6),(5,6),(6,9),(7,8),(8,10),(9,10)],11)=>3 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(5,7),(5,8),(6,10),(7,9),(8,9),(9,10)],11)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,7),(6,7),(6,8),(7,9),(8,9),(10,8)],11)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,8),(6,7),(7,9),(8,9),(10,7),(10,8)],11)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(10,8)],11)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(9,10)],11)=>7 ([(0,8),(2,10),(3,10),(4,6),(5,4),(6,9),(7,1),(8,5),(9,2),(9,3),(10,7)],11)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)=>7 ([(0,5),(0,6),(1,10),(2,10),(3,2),(3,8),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,8),(7,9),(8,10),(9,10)],11)=>7 ([(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,8),(5,9),(6,4),(6,9),(7,2),(7,3),(8,1),(8,7),(9,10)],11)=>7 ([(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,10),(6,3),(6,9),(7,8),(7,9),(8,1),(8,2),(9,4),(9,5)],11)=>7 ([(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,10),(6,4),(6,9),(7,3),(7,9),(8,1),(8,2),(9,5),(9,8)],11)=>7 ([(0,4),(0,8),(1,10),(2,10),(3,10),(4,10),(5,3),(5,9),(6,2),(6,9),(7,5),(7,6),(8,1),(8,7),(9,10)],11)=>7 ([(0,4),(0,8),(1,10),(2,10),(3,10),(4,10),(5,3),(5,9),(6,7),(6,9),(7,1),(7,2),(8,5),(8,6),(9,10)],11)=>7 ([(0,5),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,2),(6,9),(7,1),(7,9),(8,6),(8,7),(9,3),(9,4)],11)=>7 ([(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,8),(5,9),(6,7),(6,9),(7,1),(7,2),(8,3),(8,4),(9,10)],11)=>7 ([(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,4),(5,9),(6,3),(6,9),(7,1),(7,2),(8,5),(8,6),(9,10)],11)=>7 ([(0,6),(1,10),(2,10),(4,9),(5,9),(6,7),(7,4),(7,5),(8,1),(8,2),(9,8),(10,3)],11)=>9 ([(0,8),(2,10),(3,10),(4,9),(5,9),(6,7),(7,2),(7,3),(8,4),(8,5),(9,6),(10,1)],11)=>9 ([(0,8),(2,9),(3,9),(4,10),(5,10),(6,1),(7,4),(7,5),(8,2),(8,3),(9,7),(10,6)],11)=>9 ([(0,8),(2,10),(3,10),(4,10),(5,9),(6,9),(7,1),(8,2),(8,3),(8,4),(9,7),(10,5),(10,6)],11)=>9 ([(0,8),(1,10),(2,10),(3,10),(4,9),(5,9),(7,2),(7,3),(8,1),(8,7),(9,6),(10,4),(10,5)],11)=>9 ([(0,8),(2,10),(3,10),(4,9),(5,1),(6,5),(7,2),(7,3),(7,9),(8,4),(8,7),(9,10),(10,6)],11)=>9 ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)=>4 ([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12)=>8 ([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12)=>4 ([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12)=>8 ([(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(3,10),(4,6),(4,10),(5,6),(5,7),(6,11),(7,11),(8,9),(10,2),(10,11),(11,1),(11,8)],12)=>8 ([(0,4),(0,5),(1,8),(2,7),(2,9),(3,7),(3,10),(4,6),(5,2),(5,3),(5,6),(6,9),(6,10),(7,11),(9,11),(10,1),(10,11),(11,8)],12)=>8 ([(0,4),(0,5),(1,7),(1,9),(2,7),(2,8),(3,6),(4,10),(5,3),(5,10),(6,8),(6,9),(7,11),(8,11),(9,11),(10,1),(10,2),(10,6)],12)=>4 ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)=>6 ([(0,6),(1,7),(2,7),(3,9),(3,10),(4,8),(4,10),(5,8),(5,9),(6,3),(6,4),(6,5),(8,11),(9,11),(10,11),(11,1),(11,2)],12)=>8 ([(0,6),(2,10),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(6,3),(6,4),(6,5),(7,11),(8,11),(9,2),(9,11),(10,1),(11,10)],12)=>10 ([(0,6),(1,10),(2,10),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(6,1),(6,2),(7,11),(8,11),(9,11),(10,3),(10,4),(10,5)],12)=>4 ([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,8),(3,9),(4,7),(5,7),(6,1),(6,2),(6,3),(7,6),(8,11),(9,11),(10,11)],12)=>4 ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,9),(3,10),(4,8),(4,10),(5,8),(5,9),(6,1),(6,2),(8,11),(9,11),(10,11),(11,6)],12)=>8 ([(0,4),(0,5),(0,6),(2,10),(3,10),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(7,11),(8,11),(9,11),(10,1),(11,2),(11,3)],12)=>10 ([(0,3),(0,4),(0,5),(2,9),(3,8),(3,10),(4,7),(4,10),(5,7),(5,8),(6,1),(7,11),(8,11),(9,6),(10,2),(10,11),(11,9)],12)=>10 ([(0,6),(2,7),(3,8),(3,10),(4,8),(4,9),(5,3),(5,4),(5,7),(6,2),(6,5),(7,9),(7,10),(8,11),(9,11),(10,11),(11,1)],12)=>10 ([(0,5),(1,9),(2,8),(2,10),(3,7),(3,10),(4,7),(4,8),(5,6),(6,2),(6,3),(6,4),(7,11),(8,11),(10,1),(10,11),(11,9)],12)=>8 ([(0,4),(0,6),(2,8),(2,10),(3,8),(3,9),(4,7),(5,1),(6,2),(6,3),(6,7),(7,9),(7,10),(8,11),(9,11),(10,11),(11,5)],12)=>10 ([(0,5),(0,6),(2,8),(2,9),(3,7),(3,9),(4,7),(4,8),(5,10),(6,10),(7,11),(8,11),(9,11),(10,2),(10,3),(10,4),(11,1)],12)=>10 ([(0,5),(0,6),(1,11),(2,8),(3,7),(4,10),(5,9),(6,1),(6,9),(8,7),(9,4),(9,11),(10,3),(10,8),(11,2),(11,10)],12)=>8 ([(0,4),(1,8),(1,10),(2,8),(2,9),(3,7),(4,5),(5,3),(5,6),(6,1),(6,2),(6,7),(7,9),(7,10),(8,11),(9,11),(10,11)],12)=>4 ([(0,2),(0,3),(0,4),(2,9),(2,10),(3,8),(3,10),(4,8),(4,9),(5,6),(6,1),(7,5),(8,11),(9,11),(10,11),(11,7)],12)=>10 ([(0,6),(2,9),(2,10),(3,8),(3,10),(4,8),(4,9),(5,7),(6,5),(7,2),(7,3),(7,4),(8,11),(9,11),(10,11),(11,1)],12)=>10 ([(0,7),(1,11),(3,8),(4,10),(5,4),(5,8),(6,1),(6,9),(7,3),(7,5),(8,6),(8,10),(9,11),(10,9),(11,2)],12)=>10 ([(0,3),(0,7),(2,11),(3,8),(4,1),(5,6),(5,10),(6,2),(6,9),(7,5),(7,8),(8,10),(9,11),(10,9),(11,4)],12)=>10 ([(0,7),(2,9),(2,10),(3,8),(3,10),(4,8),(4,9),(5,1),(6,5),(7,2),(7,3),(7,4),(8,11),(9,11),(10,11),(11,6)],12)=>10 ([(0,7),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,1),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,6)],12)=>10 ([(0,7),(1,10),(3,8),(4,9),(5,4),(5,11),(6,5),(6,8),(7,3),(7,6),(8,11),(9,10),(10,2),(11,1),(11,9)],12)=>10 ([(0,6),(2,9),(2,10),(3,8),(3,10),(4,8),(4,9),(5,1),(6,7),(7,2),(7,3),(7,4),(8,11),(9,11),(10,11),(11,5)],12)=>10 ([(0,7),(2,8),(3,11),(4,5),(4,8),(5,6),(5,10),(6,3),(6,9),(7,2),(7,4),(8,10),(9,11),(10,9),(11,1)],12)=>10 ([(0,6),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,7),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,1)],12)=>10 ([(0,6),(0,7),(2,10),(3,9),(4,1),(5,4),(6,3),(6,8),(7,2),(7,8),(8,9),(8,10),(9,11),(10,11),(11,5)],12)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,10),(4,9),(5,9),(5,10),(7,6),(8,6),(9,11),(10,11),(11,7),(11,8)],12)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,11),(9,10),(11,9)],12)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,11),(11,10)],12)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,10),(10,11)],12)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,10),(9,10),(10,11)],12)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,9),(8,10),(9,11),(10,11)],12)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(9,11),(10,9)],12)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10),(10,11)],12)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,9),(8,9),(9,10),(11,10)],12)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,10),(8,10),(10,9),(11,9)],12)=>6 ([(0,7),(1,9),(2,10),(4,11),(5,8),(6,1),(6,10),(7,5),(8,2),(8,6),(9,11),(10,4),(10,9),(11,3)],12)=>10 ([(0,6),(0,7),(1,11),(2,11),(3,11),(4,2),(4,9),(5,1),(5,9),(6,8),(6,10),(7,3),(7,10),(8,4),(8,5),(9,11),(10,11)],12)=>8 ([(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,4),(5,10),(6,3),(6,10),(7,2),(7,9),(8,1),(8,9),(9,5),(9,6),(10,11)],12)=>8 ([(0,7),(1,10),(2,10),(4,11),(5,9),(6,4),(6,9),(7,8),(8,5),(8,6),(9,11),(10,3),(11,1),(11,2)],12)=>10 ([(0,8),(2,11),(3,11),(4,10),(5,9),(6,4),(6,9),(7,1),(8,2),(8,3),(9,10),(10,7),(11,5),(11,6)],12)=>10 ([(0,7),(2,10),(3,11),(4,9),(5,4),(5,11),(6,1),(7,8),(8,3),(8,5),(9,10),(10,6),(11,2),(11,9)],12)=>10 ([(0,8),(1,10),(2,11),(4,9),(5,3),(6,4),(6,11),(7,5),(8,2),(8,6),(9,10),(10,7),(11,1),(11,9)],12)=>10 ([(0,7),(1,10),(2,10),(4,9),(5,8),(6,8),(6,9),(7,4),(7,5),(7,6),(8,11),(9,11),(10,3),(11,1),(11,2)],12)=>10 ([(0,9),(2,11),(3,11),(4,10),(5,1),(6,5),(7,2),(7,10),(8,4),(8,7),(9,3),(9,8),(10,11),(11,6)],12)=>10 ([(0,8),(2,9),(3,10),(4,9),(4,10),(5,1),(6,5),(7,3),(7,4),(8,2),(8,7),(9,11),(10,11),(11,6)],12)=>10 ([(0,5),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13)=>5 ([(0,3),(0,4),(0,5),(1,11),(2,10),(3,8),(3,9),(4,7),(4,8),(5,7),(5,9),(7,12),(8,2),(8,12),(9,1),(9,12),(10,6),(11,6),(12,10),(12,11)],13)=>7 ([(0,3),(0,4),(0,5),(2,9),(2,10),(3,6),(3,8),(4,6),(4,7),(5,2),(5,7),(5,8),(6,11),(7,9),(7,11),(8,10),(8,11),(9,12),(10,12),(11,12),(12,1)],13)=>11 ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13)=>5 ([(0,6),(1,10),(2,9),(3,8),(3,11),(4,7),(4,11),(5,7),(5,8),(6,3),(6,4),(6,5),(7,12),(8,12),(9,10),(11,2),(11,12),(12,1),(12,9)],13)=>9 ([(0,6),(1,11),(2,8),(2,10),(3,8),(3,9),(4,7),(5,4),(5,11),(6,1),(6,5),(7,9),(7,10),(8,12),(9,12),(10,12),(11,2),(11,3),(11,7)],13)=>5 ([(0,4),(0,5),(0,6),(2,11),(3,9),(4,8),(4,10),(5,7),(5,10),(6,7),(6,8),(7,12),(8,12),(9,11),(10,3),(10,12),(11,1),(12,2),(12,9)],13)=>11 ([(0,3),(0,4),(0,5),(1,11),(2,7),(3,9),(3,10),(4,8),(4,10),(5,8),(5,9),(6,1),(6,7),(7,11),(8,12),(9,12),(10,12),(12,2),(12,6)],13)=>9 ([(0,4),(0,5),(0,6),(1,11),(2,7),(3,7),(4,9),(4,10),(5,8),(5,10),(6,8),(6,9),(8,12),(9,12),(10,1),(10,12),(11,2),(11,3),(12,11)],13)=>9 ([(0,3),(0,4),(0,5),(2,11),(3,7),(3,8),(4,8),(4,9),(5,7),(5,9),(6,2),(6,10),(7,12),(8,12),(9,6),(9,12),(10,11),(11,1),(12,10)],13)=>11 ([(0,4),(0,5),(1,7),(2,8),(2,10),(3,8),(3,9),(4,11),(5,11),(6,2),(6,3),(6,7),(7,9),(7,10),(8,12),(9,12),(10,12),(11,1),(11,6)],13)=>5 ([(0,5),(0,6),(1,11),(2,9),(2,10),(3,8),(3,10),(4,8),(4,9),(5,7),(6,1),(6,7),(7,11),(8,12),(9,12),(10,12),(11,2),(11,3),(11,4)],13)=>5 ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)=>7 ([(0,5),(0,6),(1,10),(3,8),(3,11),(4,8),(4,9),(5,7),(6,3),(6,4),(6,7),(7,9),(7,11),(8,12),(9,12),(10,2),(11,1),(11,12),(12,10)],13)=>11 ([(0,6),(1,7),(2,9),(3,8),(3,10),(4,8),(4,11),(5,3),(5,4),(5,7),(6,1),(6,5),(7,10),(7,11),(8,12),(10,12),(11,2),(11,12),(12,9)],13)=>9 ([(0,5),(0,6),(1,8),(1,10),(2,7),(2,10),(3,9),(4,7),(4,8),(5,11),(6,11),(7,12),(8,12),(10,3),(10,12),(11,1),(11,2),(11,4),(12,9)],13)=>9 ([(0,5),(0,6),(2,8),(2,10),(3,8),(3,9),(4,7),(5,11),(6,4),(6,11),(7,9),(7,10),(8,12),(9,12),(10,12),(11,2),(11,3),(11,7),(12,1)],13)=>11 ([(0,5),(0,6),(1,9),(1,11),(2,9),(2,10),(3,7),(4,7),(5,8),(6,1),(6,2),(6,8),(8,10),(8,11),(9,12),(10,12),(11,12),(12,3),(12,4)],13)=>9 ([(0,5),(0,6),(2,9),(3,8),(4,2),(4,10),(5,3),(5,7),(6,4),(6,7),(7,8),(7,10),(8,11),(9,12),(10,9),(10,11),(11,12),(12,1)],13)=>11 ([(0,7),(2,10),(3,9),(3,11),(4,8),(4,11),(5,8),(5,9),(6,1),(7,3),(7,4),(7,5),(8,12),(9,12),(10,6),(11,2),(11,12),(12,10)],13)=>11 ([(0,3),(0,4),(0,5),(2,10),(3,9),(3,11),(4,8),(4,11),(5,8),(5,9),(6,1),(7,6),(8,12),(9,12),(10,7),(11,2),(11,12),(12,10)],13)=>11 ([(0,7),(2,8),(3,9),(3,11),(4,9),(4,10),(5,1),(6,3),(6,4),(6,8),(7,2),(7,6),(8,10),(8,11),(9,12),(10,12),(11,12),(12,5)],13)=>11 ([(0,7),(2,11),(3,10),(4,9),(5,6),(5,11),(6,4),(6,8),(7,2),(7,5),(8,9),(8,10),(9,12),(10,12),(11,3),(11,8),(12,1)],13)=>11 ([(0,7),(2,12),(3,11),(4,10),(5,3),(5,8),(6,4),(6,8),(7,5),(7,6),(8,10),(8,11),(9,12),(10,9),(11,2),(11,9),(12,1)],13)=>11 ([(0,5),(2,9),(2,11),(3,9),(3,10),(4,8),(5,6),(6,4),(6,7),(7,2),(7,3),(7,8),(8,10),(8,11),(9,12),(10,12),(11,12),(12,1)],13)=>11 ([(0,6),(2,11),(3,9),(3,10),(4,8),(4,10),(5,8),(5,9),(6,7),(7,3),(7,4),(7,5),(8,12),(9,12),(10,2),(10,12),(11,1),(12,11)],13)=>11 ([(0,3),(0,7),(1,9),(3,8),(4,6),(4,10),(5,4),(5,12),(6,1),(6,11),(7,5),(7,8),(8,12),(9,2),(10,11),(11,9),(12,10)],13)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,10),(3,6),(4,10),(4,12),(5,11),(5,12),(7,9),(8,9),(9,6),(10,7),(11,8),(12,7),(12,8)],13)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(6,10),(7,12),(8,11),(9,11),(10,12),(11,10)],13)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,10),(8,9),(8,11),(9,12),(10,11),(11,12)],13)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,12),(8,9),(9,10),(9,12),(10,11),(12,11)],13)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,8),(5,11),(6,10),(7,10),(8,12),(9,12),(10,11),(11,8),(11,9)],13)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,10),(4,9),(5,8),(6,11),(7,9),(7,10),(9,12),(10,12),(11,8),(12,11)],13)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(3,8),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,11),(9,12),(10,12),(11,9),(11,10)],13)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,7),(5,7),(6,8),(6,9),(7,12),(8,11),(9,11),(11,12),(12,10)],13)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(11,9),(12,10)],13)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(8,11),(9,12),(11,12),(12,10)],13)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,9),(6,10),(6,11),(7,11),(8,10),(10,12),(11,12),(12,9)],13)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,8),(5,10),(6,11),(7,11),(8,12),(9,12),(11,8),(11,9),(12,10)],13)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,11),(6,9),(6,10),(7,10),(8,11),(9,12),(10,12),(11,9)],13)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,10),(9,10),(9,11),(10,12),(11,12)],13)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,7),(5,7),(6,8),(6,9),(7,12),(8,11),(9,11),(10,12),(11,10)],13)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,9),(5,9),(6,7),(6,10),(7,12),(8,11),(9,10),(10,12),(12,11)],13)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(8,10),(9,12),(10,12),(12,11)],13)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,8),(3,7),(4,9),(5,9),(6,7),(6,8),(7,11),(8,11),(9,10),(10,12),(11,12)],13)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,9),(6,8),(7,8),(7,9),(8,11),(9,11),(10,12),(11,10)],13)=>9 ([(0,4),(0,5),(0,6),(2,9),(3,8),(4,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,12),(9,12),(10,3),(10,7),(11,2),(11,7),(12,1)],13)=>11 ([(0,8),(1,12),(2,11),(3,11),(5,10),(6,9),(7,1),(7,10),(8,6),(9,5),(9,7),(10,12),(11,4),(12,2),(12,3)],13)=>11 ([(0,8),(2,11),(3,12),(4,10),(5,9),(6,4),(6,12),(7,1),(8,5),(9,3),(9,6),(10,11),(11,7),(12,2),(12,10)],13)=>11 ([(0,10),(2,12),(3,12),(4,8),(5,1),(6,5),(7,4),(8,11),(9,6),(10,7),(11,2),(11,3),(12,9)],13)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,9),(6,9),(7,10),(8,10),(9,11),(10,12),(12,11)],13)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11),(11,12)],13)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,12),(10,12),(11,12)],13)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,10),(8,9),(9,11),(10,11),(12,9),(12,10)],13)=>7 ([(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(4,10),(5,1),(5,11),(6,4),(6,9),(7,5),(7,9),(8,2),(8,3),(9,10),(9,11),(10,12),(11,12)],13)=>9 ([(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,3),(5,10),(6,4),(6,11),(7,5),(7,9),(8,6),(8,9),(9,10),(9,11),(10,12),(11,1),(11,2)],13)=>9 ([(0,3),(0,8),(1,12),(2,12),(3,12),(4,6),(4,9),(5,7),(5,9),(6,2),(6,10),(7,1),(7,11),(8,4),(8,5),(9,10),(9,11),(10,12),(11,12)],13)=>9 ([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14)=>6 ([(0,3),(0,4),(0,5),(1,8),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(7,13),(9,12),(10,6),(10,12),(11,7),(11,12),(12,1),(12,13),(13,8)],14)=>10 ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)=>6 ([(0,1),(0,2),(1,11),(2,4),(2,5),(2,11),(3,6),(3,7),(4,8),(4,10),(5,8),(5,9),(6,13),(7,13),(8,12),(9,6),(9,12),(10,7),(10,12),(11,3),(11,9),(11,10),(12,13)],14)=>6 ([(0,3),(0,4),(0,5),(1,8),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,1),(7,13),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8)],14)=>10 ([(0,4),(0,5),(0,6),(2,9),(3,8),(4,10),(4,11),(5,7),(5,10),(6,7),(6,11),(7,13),(8,12),(9,12),(10,3),(10,13),(11,2),(11,13),(12,1),(13,8),(13,9)],14)=>12 ([(0,3),(0,4),(0,6),(1,10),(1,11),(3,8),(3,9),(4,7),(4,9),(5,2),(6,1),(6,7),(6,8),(7,10),(7,13),(8,11),(8,13),(9,13),(10,12),(11,12),(12,5),(13,12)],14)=>12 ([(0,4),(0,5),(0,6),(1,10),(2,12),(3,7),(4,9),(4,11),(5,8),(5,11),(6,8),(6,9),(7,10),(8,13),(9,13),(11,2),(11,13),(12,1),(12,7),(13,3),(13,12)],14)=>10 ([(0,6),(2,10),(2,11),(3,7),(3,9),(4,7),(4,8),(5,2),(5,8),(5,9),(6,3),(6,4),(6,5),(7,12),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13),(13,1)],14)=>12 ([(0,5),(0,6),(1,8),(1,10),(2,8),(2,11),(3,9),(4,7),(5,12),(6,4),(6,12),(7,10),(7,11),(8,13),(10,13),(11,3),(11,13),(12,1),(12,2),(12,7),(13,9)],14)=>10 ([(0,5),(0,6),(1,12),(2,8),(2,10),(3,8),(3,9),(4,7),(5,11),(6,1),(6,11),(7,9),(7,10),(8,13),(9,13),(10,13),(11,4),(11,12),(12,2),(12,3),(12,7)],14)=>6 ([(0,5),(0,6),(1,10),(2,9),(3,8),(3,11),(4,8),(4,12),(5,7),(6,3),(6,4),(6,7),(7,11),(7,12),(8,13),(9,10),(11,13),(12,2),(12,13),(13,1),(13,9)],14)=>10 ([(0,5),(1,10),(1,11),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,6),(6,2),(6,3),(6,4),(7,13),(8,10),(8,13),(9,11),(9,13),(10,12),(11,12),(13,12)],14)=>6 ([(0,7),(2,12),(3,10),(4,9),(4,11),(5,8),(5,11),(6,8),(6,9),(7,4),(7,5),(7,6),(8,13),(9,13),(10,12),(11,3),(11,13),(12,1),(13,2),(13,10)],14)=>12 ([(0,7),(2,8),(3,12),(4,10),(4,11),(5,9),(5,11),(6,4),(6,5),(6,8),(7,2),(7,6),(8,9),(8,10),(9,13),(10,13),(11,3),(11,13),(12,1),(13,12)],14)=>12 ([(0,3),(0,4),(0,5),(1,12),(3,8),(3,9),(4,9),(4,10),(5,8),(5,10),(6,2),(7,1),(7,11),(8,13),(9,13),(10,7),(10,13),(11,12),(12,6),(13,11)],14)=>12 ([(0,7),(2,12),(3,8),(3,9),(4,9),(4,10),(5,8),(5,10),(6,2),(6,11),(7,3),(7,4),(7,5),(8,13),(9,13),(10,6),(10,13),(11,12),(12,1),(13,11)],14)=>12 ([(0,6),(0,7),(2,9),(3,10),(4,1),(5,3),(5,11),(6,5),(6,8),(7,2),(7,8),(8,9),(8,11),(9,12),(10,13),(11,10),(11,12),(12,13),(13,4)],14)=>12 ([(0,7),(1,9),(3,8),(3,11),(4,8),(4,10),(5,6),(5,9),(6,3),(6,4),(6,12),(7,1),(7,5),(8,13),(9,12),(10,13),(11,13),(12,10),(12,11),(13,2)],14)=>12 ([(0,7),(1,11),(3,8),(4,9),(4,12),(5,9),(5,10),(6,4),(6,5),(6,8),(7,3),(7,6),(8,10),(8,12),(9,13),(10,13),(11,2),(12,1),(12,13),(13,11)],14)=>12 ([(0,7),(2,10),(3,9),(4,3),(4,8),(5,6),(5,8),(6,2),(6,11),(7,4),(7,5),(8,9),(8,11),(9,12),(10,13),(11,10),(11,12),(12,13),(13,1)],14)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,10),(5,11),(5,12),(6,9),(6,13),(8,10),(9,7),(10,9),(11,8),(12,8),(13,7)],14)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,10),(5,12),(6,9),(6,11),(8,10),(9,8),(10,7),(11,8),(12,7),(13,9)],14)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,12),(4,13),(5,13),(6,9),(6,12),(8,9),(9,7),(10,8),(11,8),(12,7),(13,10),(13,11)],14)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,10),(4,13),(5,13),(6,11),(6,12),(8,9),(9,7),(10,7),(11,8),(12,8),(13,9),(13,10)],14)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,12),(4,11),(5,13),(6,11),(6,12),(8,13),(9,7),(10,7),(11,8),(12,8),(13,9),(13,10)],14)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,9),(4,12),(5,12),(6,10),(6,11),(8,7),(9,7),(10,13),(11,13),(12,8),(13,8),(13,9)],14)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,11),(4,12),(5,12),(6,8),(6,11),(8,13),(9,7),(10,7),(11,13),(12,8),(13,9),(13,10)],14)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,7),(5,10),(5,13),(6,11),(6,12),(8,10),(9,7),(10,9),(11,8),(12,8),(13,9)],14)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,8),(3,11),(4,10),(5,13),(6,13),(8,12),(9,12),(10,7),(11,7),(12,10),(12,11),(13,8),(13,9)],14)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,12),(4,11),(5,7),(6,11),(6,12),(8,7),(9,8),(10,8),(11,13),(12,13),(13,9),(13,10)],14)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,11),(5,9),(5,10),(6,11),(6,12),(8,9),(9,7),(10,7),(11,8),(12,8),(13,10)],14)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,12),(5,12),(5,13),(6,10),(6,11),(8,7),(9,7),(10,8),(11,8),(12,9),(13,9)],14)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,12),(6,11),(7,10),(8,11),(9,12),(11,13),(12,13),(13,10)],14)=>10 ([(0,11),(2,13),(3,13),(4,6),(5,9),(6,1),(7,4),(8,5),(9,12),(10,7),(11,8),(12,2),(12,3),(13,10)],14)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,13),(5,11),(6,10),(7,9),(8,9),(9,13),(10,12),(11,12),(13,10),(13,11)],14)=>8 ([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14)=>12 ([(0,9),(2,13),(3,12),(4,11),(5,11),(6,10),(7,6),(7,12),(8,3),(8,7),(9,4),(9,5),(10,13),(11,8),(12,2),(12,10),(13,1)],14)=>12 ([(0,9),(1,11),(2,13),(4,12),(5,12),(6,10),(7,6),(7,13),(8,4),(8,5),(9,2),(9,7),(10,11),(11,8),(12,3),(13,1),(13,10)],14)=>12 ([(0,8),(2,12),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,1),(7,6),(8,2),(8,3),(8,4),(8,5),(9,13),(10,13),(11,13),(12,7),(13,12)],14)=>12 ([(0,3),(0,4),(0,5),(1,10),(2,7),(2,8),(3,9),(3,12),(4,9),(4,11),(5,2),(5,11),(5,12),(7,14),(8,14),(9,1),(9,13),(10,6),(11,7),(11,13),(12,8),(12,13),(13,10),(13,14),(14,6)],15)=>9 ([(0,2),(0,3),(1,11),(2,1),(2,12),(3,4),(3,5),(3,12),(4,8),(4,10),(5,8),(5,9),(6,14),(7,14),(8,13),(9,6),(9,13),(10,7),(10,13),(11,6),(11,7),(12,9),(12,10),(12,11),(13,14)],15)=>5 ([(0,6),(1,11),(1,12),(2,10),(3,7),(3,9),(4,7),(4,8),(5,1),(5,8),(5,9),(6,3),(6,4),(6,5),(7,14),(8,11),(8,14),(9,12),(9,14),(11,13),(12,13),(13,10),(14,2),(14,13)],15)=>11 ([(0,6),(1,9),(1,12),(2,8),(2,12),(3,7),(3,11),(4,7),(4,10),(5,8),(5,9),(6,1),(6,2),(6,5),(7,14),(8,13),(9,13),(10,14),(11,14),(12,3),(12,4),(12,13),(13,10),(13,11)],15)=>7 ([(0,6),(1,12),(2,10),(2,11),(3,7),(3,9),(4,7),(4,8),(5,3),(5,4),(5,12),(6,1),(6,5),(7,14),(8,10),(8,14),(9,11),(9,14),(10,13),(11,13),(12,2),(12,8),(12,9),(14,13)],15)=>7 ([(0,4),(0,5),(0,6),(1,12),(3,10),(3,11),(4,7),(4,9),(5,7),(5,8),(6,3),(6,8),(6,9),(7,14),(8,10),(8,14),(9,11),(9,14),(10,13),(11,13),(12,2),(13,12),(14,1),(14,13)],15)=>13 ([(0,4),(0,5),(0,6),(2,7),(2,11),(3,7),(3,10),(4,9),(4,12),(5,8),(5,12),(6,8),(6,9),(7,14),(8,13),(9,13),(10,14),(11,14),(12,2),(12,3),(12,13),(13,10),(13,11),(14,1)],15)=>13 ([(0,4),(0,5),(0,6),(1,11),(1,12),(2,7),(3,7),(4,8),(4,10),(5,8),(5,9),(6,1),(6,9),(6,10),(8,13),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14),(14,2),(14,3)],15)=>11 ([(0,5),(0,6),(2,10),(2,11),(3,7),(3,9),(4,7),(4,8),(5,12),(6,3),(6,4),(6,12),(7,13),(8,10),(8,13),(9,11),(9,13),(10,14),(11,14),(12,2),(12,8),(12,9),(13,14),(14,1)],15)=>13 ([(0,4),(0,5),(1,10),(1,11),(2,7),(2,9),(3,7),(3,8),(4,12),(5,12),(6,1),(6,8),(6,9),(7,14),(8,10),(8,14),(9,11),(9,14),(10,13),(11,13),(12,2),(12,3),(12,6),(14,13)],15)=>7 ([(0,4),(0,5),(0,6),(1,11),(1,12),(2,10),(2,12),(3,10),(3,11),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(7,14),(8,14),(9,14),(10,13),(11,13),(12,13),(14,1),(14,2),(14,3)],15)=>7 ([(0,4),(0,5),(0,6),(1,11),(3,10),(3,12),(4,7),(4,8),(5,7),(5,9),(6,3),(6,8),(6,9),(7,14),(8,12),(8,14),(9,10),(9,14),(10,13),(11,2),(12,1),(12,13),(13,11),(14,13)],15)=>13 ([(0,7),(2,11),(2,12),(3,10),(4,9),(5,8),(5,11),(6,8),(6,12),(7,2),(7,5),(7,6),(8,14),(9,13),(10,13),(11,4),(11,14),(12,3),(12,14),(13,1),(14,9),(14,10)],15)=>13 ([(0,7),(1,10),(1,11),(3,9),(4,8),(5,4),(5,13),(6,3),(6,13),(7,5),(7,6),(8,10),(8,12),(9,11),(9,12),(10,14),(11,14),(12,14),(13,1),(13,8),(13,9),(14,2)],15)=>13 ([(0,3),(0,4),(0,7),(1,11),(1,12),(3,9),(3,10),(4,8),(4,10),(5,2),(6,5),(7,1),(7,8),(7,9),(8,11),(8,14),(9,12),(9,14),(10,14),(11,13),(12,13),(13,6),(14,13)],15)=>13 ([(0,3),(0,4),(0,5),(2,13),(3,8),(3,9),(4,9),(4,10),(5,8),(5,10),(6,2),(6,12),(7,6),(7,11),(8,14),(9,14),(10,7),(10,14),(11,12),(12,13),(13,1),(14,11)],15)=>13 ([(0,7),(1,11),(1,12),(3,8),(3,10),(4,8),(4,9),(5,2),(6,1),(6,9),(6,10),(7,3),(7,4),(7,6),(8,14),(9,11),(9,14),(10,12),(10,14),(11,13),(12,13),(13,5),(14,13)],15)=>13 ([(0,6),(2,11),(2,12),(3,8),(3,10),(4,8),(4,9),(5,2),(5,9),(5,10),(6,7),(7,3),(7,4),(7,5),(8,13),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14),(14,1)],15)=>13 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,12),(5,14),(6,10),(6,14),(8,7),(9,7),(10,9),(11,10),(12,8),(13,11),(14,8),(14,9)],15)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,12),(4,12),(5,11),(6,11),(6,13),(8,9),(9,7),(10,7),(11,10),(12,8),(13,9),(13,10),(14,8),(14,13)],15)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,14),(3,12),(4,12),(5,10),(6,11),(6,13),(8,7),(9,7),(10,9),(11,8),(12,14),(13,8),(13,9),(14,10),(14,13)],15)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,12),(4,12),(5,11),(6,10),(6,13),(8,7),(9,7),(10,8),(11,9),(12,10),(13,8),(13,9),(14,11),(14,13)],15)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,13),(5,14),(6,14),(8,7),(9,7),(10,8),(11,9),(12,8),(12,9),(13,10),(13,12),(14,11),(14,12)],15)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,13),(3,12),(4,7),(5,12),(5,14),(6,13),(6,14),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,9),(14,10)],15)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,7),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,11),(14,8),(14,9)],15)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,14),(3,14),(4,11),(5,7),(6,12),(6,13),(8,10),(9,10),(10,7),(11,9),(12,8),(13,8),(13,9),(14,11),(14,13)],15)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,12),(3,13),(4,13),(5,11),(5,14),(6,10),(6,14),(8,7),(9,7),(10,8),(11,9),(12,10),(13,11),(14,8),(14,9)],15)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,11),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,7),(14,8),(14,9)],15)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(11,12),(13,14),(14,11)],15)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(7,12),(8,14),(9,13),(10,13),(12,14),(13,12),(14,11)],15)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,14),(9,14),(10,13),(11,13),(13,12),(14,10),(14,11)],15)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,14),(9,14),(10,13),(11,12),(12,13),(14,11)],15)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)=>11 ([(0,8),(2,10),(3,11),(4,1),(5,7),(5,9),(6,2),(6,9),(7,3),(7,12),(8,5),(8,6),(9,10),(9,12),(10,13),(11,14),(12,11),(12,13),(13,14),(14,4)],15)=>13 ([(0,8),(1,13),(2,13),(4,12),(5,11),(6,5),(6,10),(7,4),(7,10),(8,9),(9,6),(9,7),(10,11),(10,12),(11,14),(12,14),(13,3),(14,1),(14,2)],15)=>13 ([(0,7),(1,11),(2,10),(4,6),(4,9),(5,1),(5,9),(6,2),(6,12),(7,8),(8,4),(8,5),(9,11),(9,12),(10,14),(11,13),(12,10),(12,13),(13,14),(14,3)],15)=>13 ([(0,8),(2,14),(3,12),(4,10),(5,11),(6,3),(6,11),(7,4),(7,13),(8,9),(9,5),(9,6),(10,14),(11,7),(11,12),(12,13),(13,2),(13,10),(14,1)],15)=>13 ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15)=>13 ([(0,9),(1,11),(2,10),(3,14),(5,13),(6,12),(7,1),(7,13),(8,2),(8,14),(9,3),(9,8),(10,7),(11,12),(12,4),(13,6),(13,11),(14,5),(14,10)],15)=>13 ([(0,9),(1,12),(2,13),(4,11),(5,10),(6,1),(6,11),(7,3),(8,5),(8,14),(9,4),(9,6),(10,13),(11,8),(11,12),(12,14),(13,7),(14,2),(14,10)],15)=>13 ([(0,9),(2,14),(3,12),(4,12),(5,11),(5,13),(6,10),(6,13),(7,10),(7,11),(8,2),(8,13),(9,5),(9,6),(9,7),(9,8),(10,14),(11,14),(12,1),(13,14),(14,3),(14,4)],15)=>13 ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)=>0 ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)=>8 ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,8),(2,10),(3,9),(3,11),(4,9),(4,12),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,15),(10,6),(10,13),(11,8),(11,15),(12,1),(12,10),(12,15),(13,14),(15,7),(15,13)],16)=>8 ([(0,4),(0,5),(0,6),(2,11),(3,7),(3,8),(4,10),(4,13),(5,10),(5,12),(6,3),(6,12),(6,13),(7,15),(8,15),(9,1),(10,2),(10,14),(11,9),(12,7),(12,14),(13,8),(13,14),(14,11),(14,15),(15,9)],16)=>14 ([(0,4),(0,5),(0,6),(1,10),(2,7),(2,8),(3,7),(3,9),(4,12),(4,13),(5,11),(5,13),(6,11),(6,12),(7,14),(8,14),(9,1),(9,14),(11,15),(12,15),(13,2),(13,3),(13,15),(14,10),(15,8),(15,9)],16)=>12 ([(0,4),(0,5),(0,6),(1,9),(2,11),(3,7),(3,8),(4,10),(4,13),(5,10),(5,12),(6,3),(6,12),(6,13),(7,15),(8,15),(10,14),(11,9),(12,7),(12,14),(13,8),(13,14),(14,2),(14,15),(15,1),(15,11)],16)=>12 ([(0,2),(0,3),(1,7),(2,13),(3,5),(3,6),(3,13),(4,8),(4,9),(5,10),(5,12),(6,10),(6,11),(8,15),(9,15),(10,14),(11,8),(11,14),(12,9),(12,14),(13,4),(13,11),(13,12),(14,1),(14,15),(15,7)],16)=>12 ([(0,2),(0,3),(1,13),(2,12),(3,1),(3,12),(4,7),(4,8),(5,9),(5,11),(6,9),(6,10),(7,15),(8,15),(9,14),(10,7),(10,14),(11,8),(11,14),(12,5),(12,6),(12,13),(13,4),(13,10),(13,11),(14,15)],16)=>8 ([(0,1),(0,2),(1,13),(2,5),(2,6),(2,13),(3,9),(3,12),(4,8),(4,12),(5,7),(5,11),(6,10),(6,11),(7,15),(8,14),(9,14),(10,3),(10,4),(10,15),(11,15),(12,14),(13,7),(13,10),(15,8),(15,9)],16)=>8 ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)=>8 ([(0,4),(0,5),(0,6),(1,13),(2,7),(2,9),(3,7),(3,8),(4,11),(4,12),(5,10),(5,12),(6,10),(6,11),(7,14),(8,14),(9,14),(10,15),(11,15),(12,1),(12,15),(13,8),(13,9),(15,2),(15,3),(15,13)],16)=>8 ([(0,7),(2,13),(3,11),(3,12),(4,8),(4,10),(5,8),(5,9),(6,4),(6,5),(6,13),(7,2),(7,6),(8,14),(9,11),(9,14),(10,12),(10,14),(11,15),(12,15),(13,3),(13,9),(13,10),(14,15),(15,1)],16)=>14 ([(0,7),(1,12),(3,11),(3,13),(4,8),(4,9),(5,8),(5,10),(6,3),(6,9),(6,10),(7,4),(7,5),(7,6),(8,15),(9,13),(9,15),(10,11),(10,15),(11,14),(12,2),(13,1),(13,14),(14,12),(15,14)],16)=>14 ([(0,7),(1,13),(3,11),(3,12),(4,8),(4,10),(5,8),(5,9),(6,3),(6,9),(6,10),(7,4),(7,5),(7,6),(8,15),(9,11),(9,15),(10,12),(10,15),(11,14),(12,14),(13,2),(14,13),(15,1),(15,14)],16)=>14 ([(0,7),(1,9),(3,8),(3,12),(4,10),(4,11),(5,4),(5,8),(5,13),(6,3),(6,5),(6,9),(7,1),(7,6),(8,11),(8,14),(9,12),(9,13),(10,15),(11,15),(12,14),(13,10),(13,14),(14,15),(15,2)],16)=>14 ([(0,4),(0,5),(0,7),(1,12),(1,13),(3,11),(4,8),(4,9),(5,9),(5,10),(6,2),(7,1),(7,8),(7,10),(8,12),(8,15),(9,15),(10,13),(10,15),(11,6),(12,14),(13,3),(13,14),(14,11),(15,14)],16)=>14 ([(0,6),(0,7),(2,5),(2,15),(3,12),(4,11),(5,4),(5,13),(6,2),(6,14),(7,3),(7,14),(8,1),(9,10),(10,8),(11,8),(12,9),(13,10),(13,11),(14,12),(14,15),(15,9),(15,13)],16)=>14 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,13),(4,14),(5,11),(5,15),(6,12),(6,15),(8,11),(9,7),(10,7),(11,9),(12,10),(13,8),(14,8),(15,9),(15,10)],16)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,12),(3,11),(4,10),(5,12),(5,13),(6,11),(6,15),(8,7),(9,7),(10,9),(11,8),(12,14),(13,14),(14,10),(14,15),(15,8),(15,9)],16)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,11),(4,14),(5,12),(5,15),(6,13),(6,15),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,7),(15,9),(15,10)],16)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,12),(5,12),(5,15),(6,13),(6,15),(8,14),(9,14),(10,7),(11,7),(12,8),(13,9),(14,10),(14,11),(15,8),(15,9)],16)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,8),(6,13),(6,14),(7,11),(7,15),(9,11),(10,12),(11,10),(12,8),(13,9),(14,9),(15,10)],16)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,11),(7,13),(9,12),(10,8),(11,10),(12,11),(13,10),(14,9),(15,9)],16)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,14),(4,13),(5,15),(6,8),(7,13),(7,14),(9,15),(10,8),(11,10),(12,10),(13,9),(14,9),(15,11),(15,12)],16)=>12 ([(0,10),(2,14),(3,15),(4,12),(5,13),(6,11),(7,2),(7,12),(8,3),(8,13),(9,1),(10,6),(11,5),(11,8),(12,14),(13,15),(14,9),(15,4),(15,7)],16)=>14 ([(0,8),(1,14),(3,12),(4,10),(5,4),(5,9),(6,7),(6,9),(7,3),(7,13),(8,5),(8,6),(9,10),(9,13),(10,15),(11,14),(12,11),(13,12),(13,15),(14,2),(15,1),(15,11)],16)=>14 ([(0,9),(1,12),(2,11),(3,15),(5,14),(6,13),(7,1),(7,14),(8,2),(8,15),(9,10),(10,3),(10,8),(11,7),(12,13),(13,4),(14,6),(14,12),(15,5),(15,11)],16)=>14 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,12),(6,12),(7,11),(8,11),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,11),(6,11),(7,9),(8,9),(9,14),(10,12),(11,13),(12,15),(13,15),(15,14)],16)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,15),(4,15),(5,10),(6,9),(7,9),(7,11),(8,10),(8,11),(9,12),(10,13),(11,12),(11,13),(12,14),(13,14),(14,15)],16)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,12),(6,11),(7,13),(8,14),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)=>10 ([(0,9),(1,13),(2,14),(4,12),(5,11),(6,1),(6,12),(7,3),(8,5),(8,15),(9,10),(10,4),(10,6),(11,14),(12,8),(12,13),(13,15),(14,7),(15,2),(15,11)],16)=>14 ([(0,8),(1,15),(3,14),(4,13),(5,12),(6,7),(6,13),(7,5),(7,10),(8,9),(9,4),(9,6),(10,12),(10,14),(11,15),(12,11),(13,3),(13,10),(14,1),(14,11),(15,2)],16)=>14 ([(0,9),(2,13),(3,15),(4,12),(5,11),(6,10),(7,2),(7,11),(8,4),(8,14),(9,6),(10,5),(10,7),(11,8),(11,13),(12,15),(13,14),(14,3),(14,12),(15,1)],16)=>14 ([(0,7),(2,12),(2,13),(3,11),(4,10),(5,9),(5,12),(6,9),(6,13),(7,8),(8,2),(8,5),(8,6),(9,15),(10,14),(11,14),(12,4),(12,15),(13,3),(13,15),(14,1),(15,10),(15,11)],16)=>14 ([(0,7),(0,8),(1,15),(2,15),(3,5),(3,12),(4,6),(4,13),(5,2),(5,10),(6,1),(6,11),(7,3),(7,9),(8,4),(8,9),(9,12),(9,13),(10,15),(11,15),(12,10),(12,14),(13,11),(13,14),(14,15)],16)=>12 ([(0,9),(2,15),(3,14),(4,11),(5,13),(6,7),(6,14),(7,5),(7,10),(8,1),(9,3),(9,6),(10,13),(10,15),(11,8),(12,11),(13,12),(14,2),(14,10),(15,4),(15,12)],16)=>14 ([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)=>1 ([(0,2),(0,3),(0,4),(0,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16),(16,1)],17)=>15 ([(0,1),(1,3),(1,4),(1,5),(2,8),(2,9),(3,10),(3,13),(4,10),(4,12),(5,6),(5,12),(5,13),(6,7),(6,11),(7,14),(8,15),(9,15),(10,16),(11,8),(11,14),(12,7),(12,16),(13,2),(13,11),(13,16),(14,15),(16,9),(16,14)],17)=>9 ([(0,4),(0,5),(0,6),(2,7),(2,8),(3,2),(3,10),(3,11),(4,9),(4,13),(5,9),(5,12),(6,3),(6,12),(6,13),(7,15),(8,15),(9,14),(10,7),(10,16),(11,8),(11,16),(12,10),(12,14),(13,11),(13,14),(14,16),(15,1),(16,15)],17)=>15 ([(0,4),(0,5),(0,6),(2,7),(2,8),(3,9),(3,11),(4,10),(4,12),(5,10),(5,13),(6,3),(6,12),(6,13),(7,15),(8,15),(9,14),(10,16),(11,7),(11,14),(12,9),(12,16),(13,2),(13,11),(13,16),(14,15),(15,1),(16,8),(16,14)],17)=>15 ([(0,7),(2,8),(2,12),(3,8),(3,11),(4,10),(5,4),(5,9),(6,2),(6,3),(6,9),(7,5),(7,6),(8,15),(9,10),(9,11),(9,12),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,16),(14,16),(15,16),(16,1)],17)=>15 ([(0,4),(0,5),(0,7),(1,11),(1,12),(3,8),(4,10),(4,14),(5,9),(5,14),(6,2),(7,1),(7,9),(7,10),(8,13),(9,11),(9,16),(10,12),(10,16),(11,15),(12,15),(13,6),(14,3),(14,16),(15,13),(16,8),(16,15)],17)=>15 ([(0,4),(0,5),(0,7),(1,12),(1,13),(3,14),(4,8),(4,10),(5,9),(5,10),(6,3),(6,11),(7,1),(7,8),(7,9),(8,13),(8,16),(9,12),(9,16),(10,16),(11,14),(12,15),(13,6),(13,15),(14,2),(15,11),(16,15)],17)=>15 ([(0,7),(2,11),(2,12),(3,8),(4,10),(4,13),(5,9),(5,13),(6,2),(6,9),(6,10),(7,4),(7,5),(7,6),(8,14),(9,11),(9,16),(10,12),(10,16),(11,15),(12,15),(13,3),(13,16),(14,1),(15,14),(16,8),(16,15)],17)=>15 ([(0,6),(0,7),(2,5),(2,16),(3,4),(3,15),(4,9),(5,10),(6,3),(6,14),(7,2),(7,14),(8,1),(9,11),(10,12),(11,8),(12,8),(13,11),(13,12),(14,15),(14,16),(15,9),(15,13),(16,10),(16,13)],17)=>15 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,10),(13,12),(14,9),(15,13),(16,9),(16,10)],17)=>13 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,14),(4,14),(5,12),(6,8),(7,13),(7,15),(9,11),(10,11),(11,8),(12,10),(13,9),(14,16),(15,9),(15,10),(16,12),(16,15)],17)=>13 ([(0,5),(0,6),(0,7),(2,11),(3,10),(4,9),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,1),(9,16),(10,16),(11,16),(12,4),(12,15),(13,3),(13,15),(14,2),(14,15),(15,9),(15,10),(15,11),(16,8)],17)=>15 ([(0,11),(2,16),(3,15),(4,14),(5,13),(6,8),(7,12),(8,1),(9,3),(9,14),(10,2),(10,13),(11,7),(12,5),(12,10),(13,16),(14,15),(15,6),(16,4),(16,9)],17)=>15 ([(0,9),(1,16),(3,12),(4,12),(5,14),(6,13),(7,6),(7,15),(8,5),(8,15),(9,10),(10,3),(10,4),(11,7),(11,8),(12,11),(13,16),(14,16),(15,1),(15,13),(15,14),(16,2)],17)=>15 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,10),(4,10),(5,9),(6,9),(7,12),(8,12),(9,13),(10,14),(11,14),(12,13),(12,15),(13,16),(14,15),(15,16)],17)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,12),(6,12),(7,11),(8,11),(9,13),(10,13),(11,15),(12,14),(13,14),(13,15),(14,16),(15,16)],17)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,15),(11,14),(12,16),(13,16),(15,12),(15,13),(16,14)],17)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,15),(10,14),(11,14),(12,16),(13,16),(14,15),(15,12),(15,13)],17)=>11 ([(0,10),(1,15),(3,14),(4,13),(5,12),(6,11),(7,1),(7,12),(8,2),(9,4),(9,16),(10,6),(11,5),(11,7),(12,9),(12,15),(13,14),(14,8),(15,16),(16,3),(16,13)],17)=>15 ([(0,10),(1,15),(2,14),(4,13),(5,12),(6,3),(7,1),(7,12),(8,4),(8,16),(9,6),(10,11),(11,5),(11,7),(12,8),(12,15),(13,14),(14,9),(15,16),(16,2),(16,13)],17)=>15 ([(0,1),(0,2),(1,12),(2,3),(2,4),(2,5),(2,12),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(6,13),(6,14),(7,13),(7,15),(8,14),(8,15),(9,13),(9,16),(10,14),(10,16),(11,15),(11,16),(12,6),(12,7),(12,8),(13,17),(14,17),(15,17),(16,17)],18)=>2 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(2,8),(2,9),(3,9),(3,11),(3,12),(4,8),(4,10),(4,12),(5,7),(5,10),(5,11),(7,13),(7,14),(8,13),(8,15),(9,14),(9,15),(10,13),(10,16),(11,14),(11,16),(12,15),(12,16),(13,17),(14,17),(15,17),(16,1),(16,17),(17,6)],18)=>14 ([(0,3),(0,4),(0,5),(1,8),(1,10),(2,7),(2,9),(3,11),(3,12),(4,2),(4,11),(4,13),(5,1),(5,12),(5,13),(6,17),(7,15),(8,16),(9,6),(9,15),(10,6),(10,16),(11,7),(11,14),(12,8),(12,14),(13,9),(13,10),(13,14),(14,15),(14,16),(15,17),(16,17)],18)=>6 ([(0,6),(2,10),(2,11),(2,12),(3,8),(3,9),(3,12),(4,7),(4,9),(4,11),(5,7),(5,8),(5,10),(6,2),(6,3),(6,4),(6,5),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(11,15),(11,16),(12,14),(12,15),(13,17),(14,17),(15,17),(16,17),(17,1)],18)=>16 ([(0,5),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,6),(6,1),(6,2),(6,3),(6,4),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(11,15),(11,16),(12,14),(12,15),(13,17),(14,17),(15,17),(16,17)],18)=>2 ([(0,2),(0,3),(0,4),(0,5),(2,10),(2,11),(2,12),(3,8),(3,9),(3,12),(4,7),(4,9),(4,11),(5,7),(5,8),(5,10),(6,1),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(11,15),(11,16),(12,14),(12,15),(13,17),(14,17),(15,17),(16,17),(17,6)],18)=>16 ([(0,4),(0,5),(0,6),(1,2),(1,15),(2,11),(3,7),(3,8),(4,10),(4,14),(5,10),(5,13),(6,3),(6,13),(6,14),(7,17),(8,17),(10,1),(10,16),(11,9),(12,9),(13,7),(13,16),(14,8),(14,16),(15,11),(15,12),(16,15),(16,17),(17,12)],18)=>12 ([(0,4),(0,5),(0,6),(1,8),(1,9),(2,11),(2,12),(3,10),(3,12),(4,7),(4,14),(5,7),(5,13),(6,1),(6,13),(6,14),(7,16),(8,17),(9,17),(10,15),(11,15),(12,15),(13,8),(13,16),(14,9),(14,16),(16,2),(16,3),(16,17),(17,10),(17,11)],18)=>10 ([(0,1),(0,2),(1,14),(2,4),(2,6),(2,14),(3,7),(3,8),(4,10),(4,13),(5,9),(5,12),(6,10),(6,11),(7,16),(8,16),(9,15),(10,17),(11,9),(11,17),(12,7),(12,15),(13,3),(13,12),(13,17),(14,5),(14,11),(14,13),(15,16),(17,8),(17,15)],18)=>10 ([(0,4),(0,5),(0,6),(1,10),(1,11),(2,12),(2,14),(3,12),(3,13),(4,7),(4,8),(5,8),(5,9),(6,7),(6,9),(7,17),(8,17),(9,2),(9,3),(9,17),(10,16),(11,16),(12,15),(13,10),(13,15),(14,11),(14,15),(15,16),(17,1),(17,13),(17,14)],18)=>10 ([(0,4),(0,5),(0,6),(1,15),(2,14),(3,13),(4,10),(4,11),(5,10),(5,12),(6,11),(6,12),(7,16),(8,16),(9,16),(10,3),(10,17),(11,2),(11,17),(12,1),(12,17),(13,7),(13,8),(14,7),(14,9),(15,8),(15,9),(17,13),(17,14),(17,15)],18)=>8 ([(0,4),(0,5),(0,6),(1,9),(2,8),(2,10),(3,7),(3,12),(4,11),(4,13),(5,11),(5,14),(6,3),(6,13),(6,14),(7,15),(8,16),(10,16),(11,17),(12,8),(12,15),(13,7),(13,17),(14,2),(14,12),(14,17),(15,1),(15,16),(16,9),(17,10),(17,15)],18)=>14 ([(0,4),(0,5),(0,6),(1,12),(2,13),(3,8),(3,9),(4,10),(4,15),(5,10),(5,14),(6,3),(6,14),(6,15),(8,17),(9,1),(9,17),(10,2),(10,16),(11,7),(12,7),(13,11),(14,9),(14,16),(15,8),(15,16),(16,13),(16,17),(17,11),(17,12)],18)=>12 ([(0,3),(0,4),(0,7),(2,11),(2,12),(3,8),(3,10),(4,8),(4,9),(5,1),(6,2),(6,13),(6,14),(7,6),(7,9),(7,10),(8,15),(9,13),(9,15),(10,14),(10,15),(11,17),(12,17),(13,11),(13,16),(14,12),(14,16),(15,16),(16,17),(17,5)],18)=>16 ([(0,7),(2,9),(2,12),(3,8),(3,14),(4,11),(4,13),(5,8),(5,10),(6,4),(6,10),(6,14),(7,3),(7,5),(7,6),(8,16),(9,17),(10,13),(10,16),(11,12),(11,15),(12,17),(13,15),(14,2),(14,11),(14,16),(15,17),(16,9),(16,15),(17,1)],18)=>16 ([(0,7),(2,8),(2,10),(3,8),(3,9),(4,11),(4,12),(5,6),(5,9),(5,10),(6,4),(6,13),(6,14),(7,2),(7,3),(7,5),(8,15),(9,13),(9,15),(10,14),(10,15),(11,17),(12,17),(13,11),(13,16),(14,12),(14,16),(15,16),(16,17),(17,1)],18)=>16 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,13),(4,12),(4,16),(5,13),(5,17),(6,16),(6,17),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,12),(15,10),(15,11),(16,8),(16,15),(17,9),(17,15)],18)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,17),(3,17),(4,12),(5,15),(5,16),(6,13),(6,16),(8,10),(9,11),(10,7),(11,7),(12,9),(13,8),(14,10),(14,11),(15,9),(15,14),(16,8),(16,14),(17,12),(17,15)],18)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(2,17),(3,13),(4,12),(5,12),(5,15),(6,13),(6,16),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,10),(14,11),(15,8),(15,14),(16,9),(16,14),(17,15),(17,16)],18)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,7),(4,13),(4,16),(5,14),(5,17),(6,16),(6,17),(8,12),(9,12),(10,8),(11,9),(12,7),(13,10),(14,11),(15,8),(15,9),(16,10),(16,15),(17,11),(17,15)],18)=>14 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,17),(3,14),(4,13),(5,15),(6,13),(6,14),(7,15),(7,16),(9,11),(10,9),(11,8),(12,8),(13,10),(14,10),(15,12),(16,11),(16,12),(17,9),(17,16)],18)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,13),(6,17),(7,14),(7,17),(9,16),(10,16),(11,8),(12,8),(13,9),(14,10),(15,11),(16,11),(16,12),(17,9),(17,10)],18)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,14),(5,12),(5,13),(6,14),(6,17),(7,15),(7,17),(9,12),(10,9),(11,9),(12,8),(13,8),(14,10),(15,11),(16,13),(17,10),(17,11)],18)=>10 ([(0,7),(0,8),(2,6),(2,17),(3,14),(4,9),(5,11),(6,5),(6,15),(7,2),(7,16),(8,3),(8,16),(9,1),(10,13),(11,12),(12,9),(13,4),(13,12),(14,10),(15,11),(15,13),(16,14),(16,17),(17,10),(17,15)],18)=>16 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,13),(3,16),(4,15),(5,17),(6,17),(7,15),(7,16),(8,13),(8,14),(10,12),(11,12),(12,9),(13,10),(14,10),(15,11),(16,11),(17,9)],18)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,17),(4,17),(5,15),(6,14),(7,12),(7,14),(8,13),(8,15),(10,9),(11,9),(12,10),(13,11),(14,10),(15,11),(16,12),(17,13)],18)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,14),(4,14),(5,15),(6,15),(7,13),(8,12),(10,16),(11,16),(12,9),(13,9),(14,11),(15,10),(16,12),(16,13),(17,10),(17,11)],18)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,15),(4,14),(5,16),(6,16),(7,17),(8,17),(10,9),(11,9),(12,11),(13,11),(14,10),(15,10),(16,12),(16,13),(17,14),(17,15)],18)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,12),(11,13),(12,9),(13,9),(14,10),(15,10),(16,11),(17,11)],18)=>12 ([(0,2),(2,3),(2,4),(3,8),(3,15),(4,7),(4,15),(5,12),(6,13),(7,5),(7,16),(8,6),(8,17),(9,1),(10,9),(11,9),(12,10),(13,11),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14)],18)=>16 ([(0,10),(1,16),(3,12),(4,11),(5,13),(6,14),(7,6),(7,12),(8,4),(8,17),(9,5),(9,15),(10,3),(10,7),(11,16),(12,9),(12,14),(13,17),(14,15),(15,8),(15,13),(16,2),(17,1),(17,11)],18)=>16 ([(0,10),(2,12),(3,12),(4,14),(4,16),(5,14),(5,15),(6,13),(6,15),(7,13),(7,16),(8,11),(8,15),(8,16),(9,11),(9,13),(9,14),(10,4),(10,5),(10,6),(10,7),(10,8),(10,9),(11,17),(12,1),(13,17),(14,17),(15,17),(16,17),(17,2),(17,3)],18)=>16 ([(0,1),(1,3),(1,4),(1,5),(1,6),(2,7),(3,8),(3,9),(3,10),(4,10),(4,12),(4,13),(5,9),(5,11),(5,13),(6,8),(6,11),(6,12),(8,14),(8,15),(9,14),(9,16),(10,15),(10,16),(11,14),(11,17),(12,15),(12,17),(13,16),(13,17),(14,18),(15,18),(16,18),(17,2),(17,18),(18,7)],19)=>15 ([(0,1),(1,2),(1,3),(2,13),(3,4),(3,5),(3,6),(3,13),(4,9),(4,11),(4,12),(5,8),(5,10),(5,12),(6,7),(6,10),(6,11),(7,14),(7,15),(8,14),(8,16),(9,15),(9,16),(10,14),(10,17),(11,15),(11,17),(12,16),(12,17),(13,7),(13,8),(13,9),(14,18),(15,18),(16,18),(17,18)],19)=>3 ([(0,3),(0,4),(0,5),(0,6),(2,7),(3,8),(3,9),(3,10),(4,10),(4,12),(4,13),(5,9),(5,11),(5,13),(6,8),(6,11),(6,12),(7,1),(8,14),(8,15),(9,14),(9,16),(10,15),(10,16),(11,14),(11,17),(12,15),(12,17),(13,16),(13,17),(14,18),(15,18),(16,18),(17,2),(17,18),(18,7)],19)=>17 ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)=>15 ([(0,2),(0,3),(2,13),(3,4),(3,5),(3,6),(3,13),(4,9),(4,11),(4,12),(5,8),(5,10),(5,12),(6,7),(6,10),(6,11),(7,14),(7,15),(8,14),(8,16),(9,15),(9,16),(10,14),(10,17),(11,15),(11,17),(12,16),(12,17),(13,7),(13,8),(13,9),(14,18),(15,18),(16,18),(17,18),(18,1)],19)=>17 ([(0,1),(0,2),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(7,3),(7,4),(7,5),(7,6),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18)],19)=>3 ([(0,4),(0,5),(0,6),(2,9),(2,11),(3,8),(3,10),(4,12),(4,13),(5,3),(5,12),(5,14),(6,2),(6,13),(6,14),(7,18),(8,16),(9,17),(10,7),(10,16),(11,7),(11,17),(12,8),(12,15),(13,9),(13,15),(14,10),(14,11),(14,15),(15,16),(15,17),(16,18),(17,18),(18,1)],19)=>17 ([(0,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,1),(7,2),(7,3),(7,4),(7,5),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,6)],19)=>17 ([(0,2),(0,3),(0,4),(0,5),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,1),(7,6),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,7)],19)=>17 ([(0,6),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,7),(7,2),(7,3),(7,4),(7,5),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1)],19)=>17 ([(0,5),(0,6),(0,7),(2,3),(2,16),(3,12),(4,8),(4,9),(5,11),(5,15),(6,11),(6,14),(7,4),(7,14),(7,15),(8,18),(9,18),(10,1),(11,2),(11,17),(12,10),(13,10),(14,8),(14,17),(15,9),(15,17),(16,12),(16,13),(17,16),(17,18),(18,13)],19)=>17 ([(0,5),(0,6),(0,7),(2,10),(3,8),(3,9),(4,3),(4,12),(4,13),(5,11),(5,14),(6,11),(6,15),(7,4),(7,14),(7,15),(8,18),(9,2),(9,18),(10,1),(11,16),(12,8),(12,17),(13,9),(13,17),(14,12),(14,16),(15,13),(15,16),(16,17),(17,18),(18,10)],19)=>17 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,15),(4,15),(5,17),(6,17),(7,18),(8,18),(10,13),(11,12),(12,9),(13,9),(14,11),(15,10),(16,12),(16,13),(17,11),(17,16),(18,10),(18,16)],19)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,16),(4,16),(5,15),(6,14),(7,14),(7,18),(8,15),(8,18),(10,12),(11,12),(12,9),(13,9),(14,10),(15,11),(16,13),(17,13),(18,10),(18,11)],19)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,14),(4,13),(5,17),(6,17),(7,18),(8,18),(10,12),(11,12),(12,9),(13,10),(14,11),(15,9),(16,10),(16,11),(17,13),(17,16),(18,14),(18,16)],19)=>13 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,15),(4,15),(5,16),(6,16),(7,14),(7,18),(8,13),(8,18),(10,12),(11,12),(12,9),(13,10),(14,11),(15,13),(16,14),(17,9),(18,10),(18,11)],19)=>13 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,15),(4,15),(5,13),(6,12),(7,17),(8,18),(10,9),(11,9),(12,10),(13,11),(14,17),(15,18),(16,10),(16,11),(17,12),(17,16),(18,13),(18,16)],19)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,17),(4,17),(5,15),(6,14),(7,12),(7,18),(8,13),(8,18),(10,9),(11,9),(12,10),(13,11),(14,12),(15,13),(16,14),(17,15),(18,10),(18,11)],19)=>9 ([(0,9),(1,13),(1,17),(3,16),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,17),(11,13),(11,14),(12,16),(13,18),(14,18),(15,1),(15,10),(15,11),(16,2),(17,4),(17,18),(18,3),(18,12)],19)=>17 ([(0,10),(1,14),(3,13),(4,18),(5,17),(6,12),(7,8),(7,17),(8,3),(8,11),(9,6),(9,16),(10,5),(10,7),(11,13),(11,14),(12,18),(13,15),(14,9),(14,15),(15,16),(16,4),(16,12),(17,1),(17,11),(18,2)],19)=>17 ([(0,10),(1,17),(3,16),(4,11),(5,14),(6,15),(7,6),(7,12),(8,5),(8,11),(9,7),(9,18),(10,4),(10,8),(11,9),(11,14),(12,15),(12,16),(13,17),(14,18),(15,13),(16,1),(16,13),(17,2),(18,3),(18,12)],19)=>17 ([(0,1),(0,2),(0,3),(1,11),(1,13),(2,11),(2,12),(3,4),(3,5),(3,12),(3,13),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,15),(6,17),(7,15),(7,18),(8,16),(8,17),(9,16),(9,18),(10,15),(10,16),(11,14),(12,6),(12,7),(12,14),(13,8),(13,9),(13,14),(14,17),(14,18),(15,19),(16,19),(17,19),(18,19)],20)=>4 ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,11),(2,12),(2,13),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,16),(7,16),(8,1),(8,17),(8,18),(9,14),(9,17),(10,15),(10,17),(11,14),(11,18),(12,15),(12,18),(13,14),(13,15),(14,19),(15,19),(17,6),(17,19),(18,7),(18,19),(19,16)],20)=>12 ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,14),(3,8),(3,9),(3,10),(4,10),(4,12),(4,13),(5,9),(5,11),(5,13),(6,8),(6,11),(6,12),(8,15),(8,16),(9,15),(9,17),(10,16),(10,17),(11,15),(11,18),(12,16),(12,18),(13,17),(13,18),(14,7),(15,19),(16,19),(17,19),(18,2),(18,19),(19,1),(19,14)],20)=>16 ([(0,2),(0,3),(1,7),(2,14),(3,4),(3,5),(3,6),(3,14),(4,10),(4,12),(4,13),(5,9),(5,11),(5,13),(6,8),(6,11),(6,12),(8,15),(8,16),(9,15),(9,18),(10,16),(10,18),(11,15),(11,17),(12,16),(12,17),(13,17),(13,18),(14,8),(14,9),(14,10),(15,19),(16,19),(17,19),(18,1),(18,19),(19,7)],20)=>16 ([(0,2),(0,3),(1,14),(2,13),(3,1),(3,13),(4,9),(4,11),(4,12),(5,8),(5,10),(5,12),(6,7),(6,10),(6,11),(7,15),(7,16),(8,15),(8,17),(9,16),(9,17),(10,15),(10,18),(11,16),(11,18),(12,17),(12,18),(13,4),(13,5),(13,6),(13,14),(14,7),(14,8),(14,9),(15,19),(16,19),(17,19),(18,19)],20)=>4 ([(0,4),(0,5),(0,6),(1,8),(2,10),(2,12),(3,9),(3,11),(4,13),(4,14),(5,3),(5,13),(5,15),(6,2),(6,14),(6,15),(7,1),(7,19),(9,17),(10,18),(11,7),(11,17),(12,7),(12,18),(13,9),(13,16),(14,10),(14,16),(15,11),(15,12),(15,16),(16,17),(16,18),(17,19),(18,19),(19,8)],20)=>16 ([(0,4),(0,5),(0,6),(1,8),(1,9),(2,11),(2,15),(3,10),(3,14),(4,7),(4,13),(5,7),(5,12),(6,3),(6,12),(6,13),(7,18),(8,17),(9,17),(10,19),(11,16),(12,10),(12,18),(13,2),(13,14),(13,18),(14,11),(14,19),(15,8),(15,16),(16,17),(18,1),(18,15),(18,19),(19,9),(19,16)],20)=>12 ([(0,7),(1,14),(3,9),(3,10),(3,13),(4,8),(4,10),(4,12),(5,8),(5,9),(5,11),(6,11),(6,12),(6,13),(7,3),(7,4),(7,5),(7,6),(8,17),(8,18),(9,15),(9,18),(10,16),(10,18),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,2),(15,19),(16,19),(17,19),(18,1),(18,19),(19,14)],20)=>18 ([(0,3),(0,4),(0,5),(0,6),(2,8),(3,10),(3,11),(3,14),(4,9),(4,11),(4,13),(5,9),(5,10),(5,12),(6,12),(6,13),(6,14),(7,1),(8,7),(9,17),(9,18),(10,15),(10,18),(11,16),(11,18),(12,15),(12,17),(13,16),(13,17),(14,15),(14,16),(15,19),(16,19),(17,19),(18,2),(18,19),(19,8)],20)=>18 ([(0,2),(2,3),(2,4),(2,5),(3,13),(3,14),(4,7),(4,14),(4,15),(5,6),(5,13),(5,15),(6,9),(6,11),(7,10),(7,12),(8,19),(9,17),(10,18),(11,8),(11,17),(12,8),(12,18),(13,9),(13,16),(14,10),(14,16),(15,11),(15,12),(15,16),(16,17),(16,18),(17,19),(18,19),(19,1)],20)=>18 ([(0,6),(2,8),(3,10),(3,11),(3,14),(4,9),(4,11),(4,13),(5,9),(5,10),(5,12),(6,2),(6,7),(7,3),(7,4),(7,5),(7,8),(8,12),(8,13),(8,14),(9,17),(9,18),(10,15),(10,18),(11,16),(11,18),(12,15),(12,17),(13,16),(13,17),(14,15),(14,16),(15,19),(16,19),(17,19),(18,19),(19,1)],20)=>18 ([(0,5),(0,6),(0,7),(2,1),(3,10),(3,12),(4,9),(4,11),(5,13),(5,14),(6,4),(6,13),(6,15),(7,3),(7,14),(7,15),(8,19),(9,17),(10,18),(11,8),(11,17),(12,8),(12,18),(13,9),(13,16),(14,10),(14,16),(15,11),(15,12),(15,16),(16,17),(16,18),(17,19),(18,19),(19,2)],20)=>18 ([(0,11),(1,18),(3,17),(4,15),(5,19),(6,13),(7,12),(8,5),(8,14),(9,4),(9,14),(10,6),(10,17),(11,7),(12,8),(12,9),(13,18),(14,15),(14,19),(15,16),(16,10),(17,1),(17,13),(18,2),(19,3),(19,16)],20)=>18 ([(0,10),(2,12),(3,13),(4,19),(5,1),(6,8),(6,11),(7,3),(7,11),(8,9),(8,15),(9,2),(9,14),(10,6),(10,7),(11,13),(11,15),(12,18),(13,16),(14,12),(14,17),(15,14),(15,16),(16,17),(17,4),(17,18),(18,19),(19,5)],20)=>18 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,17),(4,17),(5,16),(6,15),(7,15),(7,18),(8,16),(8,18),(10,13),(11,10),(12,10),(13,9),(14,9),(15,11),(16,12),(17,14),(18,11),(18,12),(19,13),(19,14)],20)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,17),(4,17),(5,15),(6,14),(7,14),(7,19),(8,15),(8,19),(10,18),(11,18),(12,9),(13,9),(14,10),(15,11),(16,13),(17,12),(18,12),(18,13),(19,10),(19,11)],20)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,13),(3,16),(4,15),(5,17),(6,17),(7,15),(7,19),(8,16),(8,19),(10,12),(11,12),(12,18),(13,9),(14,9),(15,10),(16,11),(17,18),(18,13),(18,14),(19,10),(19,11)],20)=>14 ([(0,10),(1,18),(3,17),(4,12),(5,15),(6,16),(7,6),(7,13),(8,5),(8,12),(9,7),(9,19),(10,11),(11,4),(11,8),(12,9),(12,15),(13,16),(13,17),(14,18),(15,19),(16,14),(17,1),(17,14),(18,2),(19,3),(19,13)],20)=>18 ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20)=>18 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,16),(3,15),(4,14),(4,17),(5,15),(5,19),(6,16),(6,20),(7,19),(7,20),(9,14),(10,9),(11,9),(12,10),(13,11),(14,8),(15,12),(16,13),(17,8),(18,10),(18,11),(19,12),(19,18),(20,13),(20,18)],21)=>15 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,9),(11,9),(12,10),(13,11),(14,18),(15,18),(16,19),(17,19),(18,12),(18,20),(19,13),(19,20),(20,10),(20,11)],21)=>13 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,19),(4,18),(5,18),(5,19),(6,16),(6,17),(7,14),(7,20),(8,15),(8,20),(10,14),(11,15),(12,9),(13,9),(14,12),(15,13),(16,10),(17,10),(18,11),(19,11),(20,12),(20,13)],21)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,15),(2,14),(3,19),(3,21),(4,20),(4,21),(5,14),(5,19),(6,15),(6,20),(8,10),(9,11),(10,12),(11,13),(12,7),(13,7),(14,8),(15,9),(16,10),(16,18),(17,11),(17,18),(18,12),(18,13),(19,8),(19,16),(20,9),(20,17),(21,16),(21,17)],22)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,19),(4,18),(5,16),(5,20),(6,17),(6,20),(7,18),(7,21),(8,19),(8,21),(10,15),(11,15),(12,14),(13,14),(14,9),(15,9),(16,10),(17,11),(18,12),(19,13),(20,10),(20,11),(21,12),(21,13)],22)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,16),(4,16),(5,15),(6,14),(7,14),(7,20),(8,15),(8,21),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,19),(17,19),(18,12),(18,13),(19,20),(19,21),(20,10),(20,18),(21,11),(21,18)],22)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)=>0 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,19),(1,20),(1,21),(2,13),(2,14),(2,15),(2,16),(2,21),(3,10),(3,11),(3,12),(3,16),(3,20),(4,8),(4,9),(4,12),(4,15),(4,19),(5,7),(5,9),(5,11),(5,14),(5,18),(6,7),(6,8),(6,10),(6,13),(6,17),(7,22),(7,25),(7,28),(7,34),(8,22),(8,23),(8,26),(8,32),(9,22),(9,24),(9,27),(9,33),(10,23),(10,25),(10,29),(10,35),(11,24),(11,25),(11,30),(11,36),(12,23),(12,24),(12,31),(12,37),(13,26),(13,28),(13,29),(13,38),(14,27),(14,28),(14,30),(14,39),(15,26),(15,27),(15,31),(15,40),(16,29),(16,30),(16,31),(16,41),(17,32),(17,34),(17,35),(17,38),(18,33),(18,34),(18,36),(18,39),(19,32),(19,33),(19,37),(19,40),(20,35),(20,36),(20,37),(20,41),(21,38),(21,39),(21,40),(21,41),(22,45),(22,46),(22,56),(23,42),(23,46),(23,53),(24,43),(24,46),(24,54),(25,44),(25,46),(25,55),(26,42),(26,45),(26,47),(27,43),(27,45),(27,48),(28,44),(28,45),(28,49),(29,42),(29,44),(29,50),(30,43),(30,44),(30,51),(31,42),(31,43),(31,52),(32,47),(32,53),(32,56),(33,48),(33,54),(33,56),(34,49),(34,55),(34,56),(35,50),(35,53),(35,55),(36,51),(36,54),(36,55),(37,52),(37,53),(37,54),(38,47),(38,49),(38,50),(39,48),(39,49),(39,51),(40,47),(40,48),(40,52),(41,50),(41,51),(41,52),(42,57),(42,62),(43,58),(43,62),(44,59),(44,62),(45,60),(45,62),(46,61),(46,62),(47,57),(47,60),(48,58),(48,60),(49,59),(49,60),(50,57),(50,59),(51,58),(51,59),(52,57),(52,58),(53,57),(53,61),(54,58),(54,61),(55,59),(55,61),(56,60),(56,61),(57,63),(58,63),(59,63),(60,63),(61,63),(62,63)],64)=>0
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Description
The Frankl number of a lattice.
For a lattice $L$ on at least two elements, this is
$$ \max_x(|L|-2|[x, 1]|), $$
where we maximize over all join irreducible elements and $[x, 1]$ denotes the interval from $x$ to the top element. Frankl's conjecture asserts that this number is non-negative, and zero if and only if $L$ is a Boolean lattice.
References
[1] wikipedia:Union-closed_sets_conjecture
Code
def statistic(L):
    t = L.top()
    n = L.cardinality()
    l = [n-2*len(L.principal_order_filter(x)) for x in L.join_irreducibles()]
    return max(l)
Created
Dec 07, 2020 at 18:31 by Martin Rubey
Updated
Apr 26, 2022 at 13:37 by Martin Rubey