=>

([],1)=>1 ([(0,1)],2)=>2 ([(0,2),(2,1)],3)=>3 ([(0,1),(0,2),(1,3),(2,3)],4)=>4 ([(0,3),(2,1),(3,2)],4)=>4 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>5 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>4 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>5 ([(0,4),(2,3),(3,1),(4,2)],5)=>5 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>5 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>6 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>4 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>5 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>6 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>5 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>6 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>5 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>6 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>5 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>6 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>6 ([(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)=>6 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>6 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>7 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>4 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>5 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>6 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>7 ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>5 ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>6 ([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>7 ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>5 ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>6 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>6 ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>7 ([(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)=>7 ([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>5 ([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>6 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>7 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>5 ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)=>6 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>7 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>6 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)=>7 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>7 ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)=>2 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>5 ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>7 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>6 ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>7 ([(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)=>2 ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>6 ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)=>5 ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>7 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>6 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>2 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>7 ([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)=>6 ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>5 ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>6 ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>6 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>5 ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)=>5 ([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)=>6 ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>7 ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>5 ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>6 ([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)=>2 ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>6 ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>6 ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>7 ([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)=>3 ([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)=>6 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>7 ([(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)=>8 ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],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)=>5 ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8)=>7 ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)=>6 ([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8)=>6 ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>8 ([(0,2),(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,1),(6,5)],8)=>5 ([(0,2),(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,1),(6,4)],8)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>5 ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1)],8)=>6 ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2)],8)=>7 ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],8)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>6 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,6),(7,1)],8)=>7 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],8)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>7 ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,7),(6,1),(7,6)],8)=>8 ([(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,7),(7,1)],8)=>8 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(7,6)],8)=>2 ([(0,2),(0,3),(0,4),(2,7),(3,7),(4,7),(5,1),(6,5),(7,6)],8)=>8 ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(7,6)],8)=>7 ([(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,7),(5,7),(6,1),(7,2)],8)=>5 ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(6,7)],8)=>2 ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(7,5)],8)=>7 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>6 ([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(5,1),(6,7),(7,5)],8)=>7 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1)],8)=>2 ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>7 ([(0,2),(0,3),(0,4),(1,6),(2,7),(3,7),(4,5),(5,6),(7,1),(7,5)],8)=>7 ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>8 ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(7,6)],8)=>5 ([(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(7,5)],8)=>6 ([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,4),(6,7)],8)=>2 ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8)=>8 ([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(6,7),(7,1)],8)=>3 ([(0,3),(0,4),(0,6),(1,7),(3,7),(4,7),(5,1),(6,5),(7,2)],8)=>6 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)=>2 ([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,7),(6,2),(7,1)],8)=>7 ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>8 ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7),(7,1)],8)=>6 ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1)],8)=>2 ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>8 ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>8 ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>8 ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2),(6,3)],8)=>7 ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>8 ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)=>8 ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2)],8)=>2 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(5,1),(6,7)],8)=>5 ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(7,2)],8)=>6 ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>7 ([(0,3),(0,5),(0,6),(1,7),(2,7),(3,7),(4,1),(5,2),(6,4)],8)=>2 ([(0,2),(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,4)],8)=>7 ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8)=>8 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(6,7)],8)=>3 ([(0,5),(0,6),(2,7),(3,7),(4,1),(5,3),(6,2),(7,4)],8)=>4 ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)=>2 ([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(4,1),(5,4),(6,7)],8)=>6 ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>8 ([(0,3),(0,6),(2,7),(3,7),(4,2),(5,1),(6,4),(7,5)],8)=>7 ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1)],8)=>2 ([(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)=>8 ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>8 ([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8)=>2 ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>8 ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(6,7)],8)=>2 ([(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(7,5)],8)=>7 ([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(5,2),(6,7),(7,1)],8)=>6 ([(0,3),(0,6),(1,7),(3,7),(4,5),(5,1),(6,4),(7,2)],8)=>7 ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)=>8 ([(0,5),(0,6),(1,7),(2,7),(4,1),(5,2),(6,4),(7,3)],8)=>3 ([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(7,3)],8)=>3 ([(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)=>9 ([(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)=>9 ([(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)=>6 ([(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)=>8 ([(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)=>6 ([(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(7,6),(8,1)],9)=>9 ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>9 ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,5)],9)=>9 ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9)=>9 ([(0,2),(0,3),(2,8),(3,8),(4,6),(5,4),(6,1),(7,5),(8,7)],9)=>9 ([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9)=>9 ([(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)=>7 ([(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)=>9 ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)=>9 ([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9)=>9 ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>9 ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9)=>9 ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>9 ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9)=>9 ([(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)=>7 ([(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)=>3 ([(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)=>9 ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(8,5)],9)=>9 ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9)=>9 ([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9)=>9 ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>9 ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>9 ([(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)=>9 ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)=>9 ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9)=>9 ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>9 ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9)=>9 ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9)=>9 ([(0,6),(1,9),(2,9),(3,8),(4,8),(6,7),(7,1),(7,2),(8,5),(9,3),(9,4)],10)=>10 ([(0,7),(1,9),(2,9),(4,8),(5,8),(6,3),(7,1),(7,2),(8,6),(9,4),(9,5)],10)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(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)=>10 ([(0,7),(2,9),(3,9),(4,8),(5,8),(6,2),(6,3),(7,4),(7,5),(8,6),(9,1)],10)=>10 ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10)=>10 ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10)=>10 ([(0,3),(0,7),(2,9),(3,8),(4,6),(5,4),(6,1),(7,2),(7,8),(8,9),(9,5)],10)=>10 ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10)=>10 ([(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)=>7 ([(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)=>3 ([(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)=>2 ([(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)=>8 ([(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)=>2 ([(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)=>2 ([(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)=>9 ([(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)=>5 ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(4,7),(5,9),(6,9),(7,9),(8,9)],10)=>10 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>11 ([(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)=>5 ([(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)=>3 ([(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)=>3 ([(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)=>8 ([(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)=>4 ([(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)=>8 ([(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)=>2 ([(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)=>2 ([(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)=>3 ([(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)=>9 ([(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)=>6 ([(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)=>6 ([(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)=>9 ([(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)=>2 ([(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)=>6 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>12 ([(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)=>3 ([(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)=>8 ([(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)=>4 ([(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)=>3 ([(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)=>2 ([(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)=>2 ([(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)=>2 ([(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)=>3 ([(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)=>7 ([(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)=>6 ([(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)=>2 ([(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)=>2 ([(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)=>7 ([(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)=>3 ([(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),(6,11),(7,11),(8,11),(9,11),(10,11)],12)=>6 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>13 ([(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)=>3 ([(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)=>6 ([(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)=>3 ([(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)=>3 ([(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)=>3 ([(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)=>3 ([(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)=>5 ([(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)=>9 ([(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)=>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),(9,12),(10,12),(11,9),(11,10)],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),(11,12),(12,10)],13)=>3 ([(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)=>4 ([(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)=>4 ([(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)=>3 ([(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)=>2 ([(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)=>2 ([(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)=>2 ([(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)=>2 ([(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)=>2 ([(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)=>2 ([(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)=>2 ([(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)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,8),(2,9),(2,11),(3,6),(3,7),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,10),(6,12),(7,12),(8,12),(9,12),(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)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(0,6),(1,11),(1,12),(2,9),(3,8),(4,7),(4,11),(5,7),(5,12),(6,1),(6,4),(6,5),(7,13),(8,10),(9,10),(11,3),(11,13),(12,2),(12,13),(13,8),(13,9)],14)=>14 ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>14 ([(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)=>3 ([(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)=>3 ([(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)=>3 ([(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)=>3 ([(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)=>9 ([(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)=>3 ([(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)=>6 ([(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)=>4 ([(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)=>10 ([(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)=>9 ([(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)=>2 ([(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)=>2 ([(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)=>3 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(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)=>15 ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)=>15 ([(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)=>15 ([(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)=>3 ([(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)=>3 ([(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)=>5 ([(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)=>3 ([(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)=>5 ([(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)=>7 ([(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)=>4 ([(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)=>6 ([(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)=>2 ([(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)=>2 ([(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)=>4 ([(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)=>4 ([(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)=>6 ([(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)=>2 ([(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)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,13),(2,9),(2,10),(2,12),(3,8),(3,10),(3,13),(4,8),(4,11),(4,12),(5,7),(5,12),(5,13),(6,7),(6,10),(6,11),(7,14),(8,14),(9,14),(10,14),(11,14),(12,14),(13,14)],15)=>12 ([(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)=>16 ([(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)=>16 ([(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)=>16 ([(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)=>16 ([(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)=>16 ([(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)=>16 ([(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)=>16 ([(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)=>16 ([(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)=>16 ([(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)=>16 ([(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)=>16 ([(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)=>16 ([(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)=>16 ([(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)=>16 ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16)=>16 ([(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)=>16 ([(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)=>16 ([(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)=>16 ([(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)=>5 ([(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)=>3 ([(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)=>5 ([(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)=>3 ([(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)=>8 ([(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)=>5 ([(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)=>4 ([(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)=>10 ([(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)=>17 ([(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)=>17 ([(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)=>17 ([(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)=>17 ([(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)=>17 ([(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)=>17 ([(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)=>17 ([(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)=>17 ([(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)=>17 ([(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)=>17 ([(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)=>4 ([(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)=>6 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>18 ([(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)=>3 ([(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)=>5 ([(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)=>5 ([(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)=>6 ([(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)=>3 ([(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)=>3 ([(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)=>2 ([(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)=>19 ([(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)=>19 ([(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)=>19 ([(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)=>19 ([(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)=>19 ([(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)=>19 ([(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)=>19 ([(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)=>19 ([(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)=>19 ([(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)=>19 ([(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)=>19 ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19)=>19 ([(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)=>19 ([(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)=>20 ([(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)=>20 ([(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)=>20 ([(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)=>20 ([(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)=>20 ([(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)=>20 ([(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)=>20 ([(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)=>20 ([(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)=>20 ([(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)=>20 ([(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)=>20 ([(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)=>20 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,16),(2,8),(2,11),(2,16),(3,7),(3,10),(3,16),(4,6),(4,10),(4,11),(4,12),(5,6),(5,7),(5,8),(5,9),(6,13),(6,14),(6,15),(7,13),(7,17),(8,14),(8,17),(9,15),(9,17),(10,13),(10,18),(11,14),(11,18),(12,15),(12,18),(13,19),(14,19),(15,19),(16,17),(16,18),(17,19),(18,19)],20)=>20 ([(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)=>3 ([(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)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,15),(2,7),(2,8),(2,11),(2,14),(3,6),(3,8),(3,10),(3,13),(4,6),(4,7),(4,9),(4,12),(5,12),(5,13),(5,14),(5,15),(6,18),(6,22),(7,16),(7,22),(8,17),(8,22),(9,19),(9,22),(10,20),(10,22),(11,21),(11,22),(12,16),(12,18),(12,19),(13,17),(13,18),(13,20),(14,16),(14,17),(14,21),(15,19),(15,20),(15,21),(16,23),(17,23),(18,23),(19,23),(20,23),(21,23),(22,23)],24)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,17),(2,10),(2,11),(2,12),(2,17),(3,7),(3,8),(3,9),(3,17),(4,9),(4,12),(4,15),(4,16),(5,8),(5,11),(5,14),(5,16),(6,7),(6,10),(6,13),(6,16),(7,18),(7,21),(8,19),(8,21),(9,20),(9,21),(10,18),(10,22),(11,19),(11,22),(12,20),(12,22),(13,18),(13,23),(14,19),(14,23),(15,20),(15,23),(16,21),(16,22),(16,23),(17,18),(17,19),(17,20),(18,24),(19,24),(20,24),(21,24),(22,24),(23,24)],25)=>25 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(1,20),(1,21),(2,9),(2,14),(2,15),(2,21),(3,8),(3,12),(3,13),(3,21),(4,11),(4,13),(4,15),(4,20),(5,10),(5,12),(5,14),(5,20),(6,7),(6,8),(6,9),(6,10),(6,11),(7,22),(7,23),(8,16),(8,17),(8,22),(9,18),(9,19),(9,22),(10,16),(10,18),(10,23),(11,17),(11,19),(11,23),(12,16),(12,24),(13,17),(13,24),(14,18),(14,24),(15,19),(15,24),(16,25),(17,25),(18,25),(19,25),(20,23),(20,24),(21,22),(21,24),(22,25),(23,25),(24,25)],26)=>18 ([(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),(16,26),(17,26),(18,26),(19,26),(20,26),(21,26),(22,26),(23,26),(24,26),(25,26)],27)=>7 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(1,16),(1,21),(1,23),(2,8),(2,16),(2,20),(2,22),(3,10),(3,15),(3,20),(3,23),(4,11),(4,15),(4,21),(4,22),(5,13),(5,14),(5,22),(5,23),(6,12),(6,14),(6,20),(6,21),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,17),(8,24),(8,26),(9,17),(9,25),(9,27),(10,18),(10,24),(10,27),(11,18),(11,25),(11,26),(12,19),(12,24),(12,25),(13,19),(13,26),(13,27),(14,19),(14,28),(15,18),(15,28),(16,17),(16,28),(17,29),(18,29),(19,29),(20,24),(20,28),(21,25),(21,28),(22,26),(22,28),(23,27),(23,28),(24,29),(25,29),(26,29),(27,29),(28,29)],30)=>24 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,25),(2,13),(2,14),(2,15),(2,25),(3,10),(3,11),(3,12),(3,25),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,21),(7,24),(7,29),(8,19),(8,22),(8,29),(9,20),(9,23),(9,29),(10,26),(10,29),(11,27),(11,29),(12,28),(12,29),(13,19),(13,21),(13,26),(14,20),(14,21),(14,27),(15,19),(15,20),(15,28),(16,22),(16,24),(16,26),(17,23),(17,24),(17,27),(18,22),(18,23),(18,28),(19,30),(20,30),(21,30),(22,30),(23,30),(24,30),(25,26),(25,27),(25,28),(26,30),(27,30),(28,30),(29,30)],31)=>10 ([(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)=>32 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,11),(1,15),(1,20),(1,21),(2,9),(2,10),(2,14),(2,18),(2,19),(3,8),(3,13),(3,17),(3,19),(3,21),(4,8),(4,12),(4,16),(4,18),(4,20),(5,7),(5,14),(5,15),(5,16),(5,17),(6,7),(6,10),(6,11),(6,12),(6,13),(7,31),(7,32),(8,30),(8,32),(9,30),(9,31),(10,22),(10,23),(10,31),(11,24),(11,25),(11,31),(12,22),(12,24),(12,32),(13,23),(13,25),(13,32),(14,26),(14,27),(14,31),(15,28),(15,29),(15,31),(16,26),(16,28),(16,32),(17,27),(17,29),(17,32),(18,22),(18,26),(18,30),(19,23),(19,27),(19,30),(20,24),(20,28),(20,30),(21,25),(21,29),(21,30),(22,33),(23,33),(24,33),(25,33),(26,33),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,24),(1,26),(2,8),(2,9),(2,24),(2,25),(3,16),(3,17),(3,18),(3,19),(3,24),(4,9),(4,14),(4,15),(4,17),(4,26),(5,8),(5,12),(5,13),(5,16),(5,26),(6,11),(6,13),(6,15),(6,19),(6,25),(7,10),(7,12),(7,14),(7,18),(7,25),(8,27),(8,31),(9,28),(9,31),(10,29),(10,32),(11,30),(11,32),(12,20),(12,27),(12,29),(13,21),(13,27),(13,30),(14,22),(14,28),(14,29),(15,23),(15,28),(15,30),(16,20),(16,21),(16,31),(17,22),(17,23),(17,31),(18,20),(18,22),(18,32),(19,21),(19,23),(19,32),(20,33),(21,33),(22,33),(23,33),(24,31),(24,32),(25,27),(25,28),(25,32),(26,29),(26,30),(26,31),(27,33),(28,33),(29,33),(30,33),(31,33),(32,33)],34)=>14 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,28),(1,29),(1,30),(2,9),(2,13),(2,18),(2,19),(2,30),(3,8),(3,12),(3,16),(3,17),(3,30),(4,11),(4,15),(4,17),(4,19),(4,29),(5,10),(5,14),(5,16),(5,18),(5,29),(6,12),(6,13),(6,14),(6,15),(6,28),(7,8),(7,9),(7,10),(7,11),(7,28),(8,20),(8,21),(8,32),(9,22),(9,23),(9,32),(10,20),(10,22),(10,33),(11,21),(11,23),(11,33),(12,24),(12,25),(12,32),(13,26),(13,27),(13,32),(14,24),(14,26),(14,33),(15,25),(15,27),(15,33),(16,20),(16,24),(16,31),(17,21),(17,25),(17,31),(18,22),(18,26),(18,31),(19,23),(19,27),(19,31),(20,34),(21,34),(22,34),(23,34),(24,34),(25,34),(26,34),(27,34),(28,32),(28,33),(29,31),(29,33),(30,31),(30,32),(31,34),(32,34),(33,34)],35)=>15 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(1,10),(1,28),(1,29),(2,12),(2,16),(2,20),(2,22),(2,29),(3,11),(3,15),(3,20),(3,21),(3,28),(4,13),(4,17),(4,19),(4,21),(4,29),(5,14),(5,18),(5,19),(5,22),(5,28),(6,8),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,9),(7,11),(7,12),(7,13),(7,14),(8,27),(8,34),(8,35),(9,27),(9,30),(9,31),(10,27),(10,32),(10,33),(11,23),(11,30),(11,34),(12,24),(12,31),(12,34),(13,23),(13,31),(13,35),(14,24),(14,30),(14,35),(15,25),(15,32),(15,34),(16,26),(16,33),(16,34),(17,25),(17,33),(17,35),(18,26),(18,32),(18,35),(19,35),(19,36),(20,34),(20,36),(21,23),(21,25),(21,36),(22,24),(22,26),(22,36),(23,37),(24,37),(25,37),(26,37),(27,37),(28,30),(28,32),(28,36),(29,31),(29,33),(29,36),(30,37),(31,37),(32,37),(33,37),(34,37),(35,37),(36,37)],38)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(1,26),(1,27),(1,28),(2,9),(2,10),(2,11),(2,29),(2,30),(3,13),(3,17),(3,21),(3,28),(3,30),(4,12),(4,16),(4,21),(4,27),(4,29),(5,15),(5,18),(5,20),(5,27),(5,30),(6,14),(6,19),(6,20),(6,28),(6,29),(7,11),(7,16),(7,17),(7,18),(7,19),(7,26),(8,10),(8,12),(8,13),(8,14),(8,15),(8,26),(9,35),(9,38),(10,31),(10,32),(10,35),(11,33),(11,34),(11,35),(12,22),(12,31),(12,36),(13,22),(13,32),(13,37),(14,23),(14,31),(14,37),(15,23),(15,32),(15,36),(16,24),(16,33),(16,36),(17,24),(17,34),(17,37),(18,25),(18,34),(18,36),(19,25),(19,33),(19,37),(20,23),(20,25),(20,38),(21,22),(21,24),(21,38),(22,39),(23,39),(24,39),(25,39),(26,35),(26,36),(26,37),(27,36),(27,38),(28,37),(28,38),(29,31),(29,33),(29,38),(30,32),(30,34),(30,38),(31,39),(32,39),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)=>18 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,16),(1,17),(1,18),(1,29),(2,13),(2,14),(2,15),(2,29),(3,10),(3,11),(3,12),(3,29),(4,8),(4,9),(4,12),(4,15),(4,18),(5,7),(5,9),(5,11),(5,14),(5,17),(6,7),(6,8),(6,10),(6,13),(6,16),(7,19),(7,22),(7,25),(7,28),(8,19),(8,20),(8,23),(8,26),(9,19),(9,21),(9,24),(9,27),(10,20),(10,22),(10,30),(11,21),(11,22),(11,31),(12,20),(12,21),(12,32),(13,23),(13,25),(13,30),(14,24),(14,25),(14,31),(15,23),(15,24),(15,32),(16,26),(16,28),(16,30),(17,27),(17,28),(17,31),(18,26),(18,27),(18,32),(19,33),(19,34),(19,35),(20,33),(20,36),(21,33),(21,37),(22,33),(22,38),(23,34),(23,36),(24,34),(24,37),(25,34),(25,38),(26,35),(26,36),(27,35),(27,37),(28,35),(28,38),(29,30),(29,31),(29,32),(30,36),(30,38),(31,37),(31,38),(32,36),(32,37),(33,39),(34,39),(35,39),(36,39),(37,39),(38,39)],40)=>40 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(1,20),(1,24),(1,30),(1,32),(2,15),(2,19),(2,23),(2,30),(2,31),(3,17),(3,21),(3,23),(3,29),(3,32),(4,18),(4,22),(4,24),(4,29),(4,31),(5,10),(5,13),(5,14),(5,17),(5,18),(5,30),(6,10),(6,11),(6,12),(6,15),(6,16),(6,29),(7,9),(7,11),(7,13),(7,19),(7,22),(7,32),(8,9),(8,12),(8,14),(8,20),(8,21),(8,31),(9,35),(9,36),(9,41),(10,33),(10,34),(10,41),(11,25),(11,38),(11,41),(12,26),(12,37),(12,41),(13,28),(13,39),(13,41),(14,27),(14,40),(14,41),(15,25),(15,33),(15,37),(16,26),(16,33),(16,38),(17,27),(17,34),(17,39),(18,28),(18,34),(18,40),(19,25),(19,35),(19,39),(20,26),(20,36),(20,40),(21,27),(21,36),(21,37),(22,28),(22,35),(22,38),(23,37),(23,39),(24,38),(24,40),(25,42),(26,42),(27,42),(28,42),(29,34),(29,37),(29,38),(30,33),(30,39),(30,40),(31,35),(31,37),(31,40),(32,36),(32,38),(32,39),(33,42),(34,42),(35,42),(36,42),(37,42),(38,42),(39,42),(40,42),(41,42)],43)=>14 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,12),(1,15),(1,28),(1,31),(1,34),(2,11),(2,14),(2,28),(2,30),(2,33),(3,10),(3,13),(3,28),(3,29),(3,32),(4,10),(4,16),(4,19),(4,21),(4,30),(4,31),(5,11),(5,17),(5,20),(5,22),(5,29),(5,31),(6,12),(6,18),(6,23),(6,24),(6,29),(6,30),(7,13),(7,16),(7,20),(7,23),(7,33),(7,34),(8,14),(8,17),(8,19),(8,24),(8,32),(8,34),(9,15),(9,18),(9,21),(9,22),(9,32),(9,33),(10,25),(10,35),(10,45),(11,26),(11,36),(11,45),(12,27),(12,37),(12,45),(13,25),(13,38),(13,44),(14,26),(14,39),(14,44),(15,27),(15,40),(15,44),(16,25),(16,42),(16,43),(17,26),(17,41),(17,43),(18,27),(18,41),(18,42),(19,35),(19,39),(19,43),(20,36),(20,38),(20,43),(21,35),(21,40),(21,42),(22,36),(22,40),(22,41),(23,37),(23,38),(23,42),(24,37),(24,39),(24,41),(25,46),(26,46),(27,46),(28,44),(28,45),(29,38),(29,41),(29,45),(30,39),(30,42),(30,45),(31,40),(31,43),(31,45),(32,35),(32,41),(32,44),(33,36),(33,42),(33,44),(34,37),(34,43),(34,44),(35,46),(36,46),(37,46),(38,46),(39,46),(40,46),(41,46),(42,46),(43,46),(44,46),(45,46)],47)=>20 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,11),(1,12),(1,16),(1,20),(2,8),(2,9),(2,12),(2,15),(2,19),(3,7),(3,9),(3,11),(3,14),(3,18),(4,7),(4,8),(4,10),(4,13),(4,17),(5,17),(5,18),(5,19),(5,20),(5,21),(6,13),(6,14),(6,15),(6,16),(6,21),(7,24),(7,30),(7,44),(8,22),(8,28),(8,44),(9,23),(9,29),(9,44),(10,25),(10,31),(10,44),(11,26),(11,32),(11,44),(12,27),(12,33),(12,44),(13,22),(13,24),(13,25),(13,34),(14,23),(14,24),(14,26),(14,35),(15,22),(15,23),(15,27),(15,36),(16,25),(16,26),(16,27),(16,37),(17,28),(17,30),(17,31),(17,34),(18,29),(18,30),(18,32),(18,35),(19,28),(19,29),(19,33),(19,36),(20,31),(20,32),(20,33),(20,37),(21,34),(21,35),(21,36),(21,37),(22,38),(22,45),(23,39),(23,45),(24,40),(24,45),(25,41),(25,45),(26,42),(26,45),(27,43),(27,45),(28,38),(28,46),(29,39),(29,46),(30,40),(30,46),(31,41),(31,46),(32,42),(32,46),(33,43),(33,46),(34,38),(34,40),(34,41),(35,39),(35,40),(35,42),(36,38),(36,39),(36,43),(37,41),(37,42),(37,43),(38,47),(39,47),(40,47),(41,47),(42,47),(43,47),(44,45),(44,46),(45,47),(46,47)],48)=>24 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,20),(1,21),(1,22),(1,33),(2,9),(2,17),(2,18),(2,19),(2,33),(3,8),(3,14),(3,15),(3,16),(3,33),(4,13),(4,16),(4,19),(4,22),(4,32),(5,12),(5,15),(5,18),(5,21),(5,32),(6,11),(6,14),(6,17),(6,20),(6,32),(7,8),(7,9),(7,10),(7,11),(7,12),(7,13),(8,23),(8,24),(8,25),(8,40),(9,26),(9,27),(9,28),(9,40),(10,29),(10,30),(10,31),(10,40),(11,23),(11,26),(11,29),(11,41),(12,24),(12,27),(12,30),(12,41),(13,25),(13,28),(13,31),(13,41),(14,23),(14,34),(14,37),(15,24),(15,35),(15,37),(16,25),(16,36),(16,37),(17,26),(17,34),(17,38),(18,27),(18,35),(18,38),(19,28),(19,36),(19,38),(20,29),(20,34),(20,39),(21,30),(21,35),(21,39),(22,31),(22,36),(22,39),(23,42),(23,45),(24,43),(24,45),(25,44),(25,45),(26,42),(26,46),(27,43),(27,46),(28,44),(28,46),(29,42),(29,47),(30,43),(30,47),(31,44),(31,47),(32,37),(32,38),(32,39),(32,41),(33,34),(33,35),(33,36),(33,40),(34,42),(34,48),(35,43),(35,48),(36,44),(36,48),(37,45),(37,48),(38,46),(38,48),(39,47),(39,48),(40,42),(40,43),(40,44),(41,45),(41,46),(41,47),(42,49),(43,49),(44,49),(45,49),(46,49),(47,49),(48,49)],50)=>50 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(1,14),(1,20),(1,28),(1,29),(1,31),(2,11),(2,12),(2,19),(2,26),(2,27),(2,31),(3,16),(3,18),(3,22),(3,27),(3,29),(3,30),(4,15),(4,17),(4,21),(4,26),(4,28),(4,30),(5,11),(5,15),(5,24),(5,29),(5,32),(5,34),(6,12),(6,16),(6,25),(6,28),(6,32),(6,35),(7,13),(7,17),(7,25),(7,27),(7,33),(7,34),(8,14),(8,18),(8,24),(8,26),(8,33),(8,35),(9,21),(9,22),(9,23),(9,31),(9,34),(9,35),(10,19),(10,20),(10,23),(10,30),(10,32),(10,33),(11,36),(11,40),(11,50),(12,36),(12,41),(12,49),(13,37),(13,42),(13,50),(14,37),(14,43),(14,49),(15,38),(15,40),(15,48),(16,39),(16,41),(16,48),(17,38),(17,42),(17,47),(18,39),(18,43),(18,47),(19,36),(19,44),(19,47),(20,37),(20,44),(20,48),(21,38),(21,45),(21,49),(22,39),(22,45),(22,50),(23,44),(23,45),(23,46),(24,40),(24,43),(24,46),(25,41),(25,42),(25,46),(26,40),(26,47),(26,49),(27,41),(27,47),(27,50),(28,42),(28,48),(28,49),(29,43),(29,48),(29,50),(30,45),(30,47),(30,48),(31,44),(31,49),(31,50),(32,36),(32,46),(32,48),(33,37),(33,46),(33,47),(34,38),(34,46),(34,50),(35,39),(35,46),(35,49),(36,51),(37,51),(38,51),(39,51),(40,51),(41,51),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,51),(49,51),(50,51)],52)=>27 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(1,9),(1,36),(1,37),(2,12),(2,16),(2,21),(2,22),(2,37),(3,11),(3,15),(3,19),(3,20),(3,37),(4,14),(4,18),(4,20),(4,22),(4,36),(5,13),(5,17),(5,19),(5,21),(5,36),(6,9),(6,10),(6,15),(6,16),(6,17),(6,18),(7,8),(7,10),(7,11),(7,12),(7,13),(7,14),(8,35),(8,38),(8,39),(9,35),(9,40),(9,41),(10,31),(10,32),(10,33),(10,34),(10,35),(11,23),(11,24),(11,31),(11,38),(12,25),(12,26),(12,32),(12,38),(13,23),(13,25),(13,33),(13,39),(14,24),(14,26),(14,34),(14,39),(15,27),(15,28),(15,31),(15,40),(16,29),(16,30),(16,32),(16,40),(17,27),(17,29),(17,33),(17,41),(18,28),(18,30),(18,34),(18,41),(19,23),(19,27),(19,48),(20,24),(20,28),(20,48),(21,25),(21,29),(21,48),(22,26),(22,30),(22,48),(23,42),(23,49),(24,43),(24,49),(25,44),(25,49),(26,45),(26,49),(27,42),(27,50),(28,43),(28,50),(29,44),(29,50),(30,45),(30,50),(31,42),(31,43),(31,46),(32,44),(32,45),(32,46),(33,42),(33,44),(33,47),(34,43),(34,45),(34,47),(35,46),(35,47),(36,39),(36,41),(36,48),(37,38),(37,40),(37,48),(38,46),(38,49),(39,47),(39,49),(40,46),(40,50),(41,47),(41,50),(42,51),(43,51),(44,51),(45,51),(46,51),(47,51),(48,49),(48,50),(49,51),(50,51)],52)=>36 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(1,14),(1,15),(1,16),(1,21),(2,10),(2,11),(2,12),(2,16),(2,20),(3,8),(3,9),(3,12),(3,15),(3,19),(4,7),(4,9),(4,11),(4,14),(4,18),(5,7),(5,8),(5,10),(5,13),(5,17),(6,17),(6,18),(6,19),(6,20),(6,21),(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),(22,51),(22,52),(23,48),(23,52),(24,49),(24,52),(25,50),(25,52),(26,42),(26,52),(27,43),(27,52),(28,44),(28,52),(29,45),(29,52),(30,46),(30,52),(31,47),(31,52),(32,42),(32,48),(32,51),(33,43),(33,49),(33,51),(34,44),(34,50),(34,51),(35,45),(35,48),(35,50),(36,46),(36,49),(36,50),(37,47),(37,48),(37,49),(38,42),(38,44),(38,45),(39,43),(39,44),(39,46),(40,42),(40,43),(40,47),(41,45),(41,46),(41,47),(42,53),(43,53),(44,53),(45,53),(46,53),(47,53),(48,53),(49,53),(50,53),(51,53),(52,53)],54)=>14 ([(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),(43,57),(44,57),(45,57),(46,57),(47,57),(48,57),(49,57),(50,57),(51,57),(52,57),(53,57),(54,57),(55,57),(56,57)],58)=>8 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,27),(8,28),(8,30),(8,45),(9,27),(9,29),(9,31),(9,46),(10,28),(10,29),(10,32),(10,47),(11,30),(11,31),(11,32),(11,48),(12,33),(12,34),(12,36),(12,45),(13,33),(13,35),(13,37),(13,46),(14,34),(14,35),(14,38),(14,47),(15,36),(15,37),(15,38),(15,48),(16,39),(16,40),(16,42),(16,45),(17,39),(17,41),(17,43),(17,46),(18,40),(18,41),(18,44),(18,47),(19,42),(19,43),(19,44),(19,48),(20,27),(20,33),(20,39),(20,55),(21,28),(21,34),(21,40),(21,55),(22,29),(22,35),(22,41),(22,55),(23,30),(23,36),(23,42),(23,55),(24,31),(24,37),(24,43),(24,55),(25,32),(25,38),(25,44),(25,55),(26,45),(26,46),(26,47),(26,48),(27,51),(27,56),(28,49),(28,56),(29,50),(29,56),(30,52),(30,56),(31,53),(31,56),(32,54),(32,56),(33,51),(33,57),(34,49),(34,57),(35,50),(35,57),(36,52),(36,57),(37,53),(37,57),(38,54),(38,57),(39,51),(39,58),(40,49),(40,58),(41,50),(41,58),(42,52),(42,58),(43,53),(43,58),(44,54),(44,58),(45,49),(45,51),(45,52),(46,50),(46,51),(46,53),(47,49),(47,50),(47,54),(48,52),(48,53),(48,54),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,56),(55,57),(55,58),(56,59),(57,59),(58,59)],60)=>30 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,17),(1,24),(1,38),(1,40),(2,10),(2,16),(2,24),(2,37),(2,39),(3,12),(3,18),(3,23),(3,37),(3,40),(4,13),(4,19),(4,23),(4,38),(4,39),(5,15),(5,21),(5,22),(5,39),(5,40),(6,14),(6,20),(6,22),(6,37),(6,38),(7,9),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(8,9),(8,10),(8,11),(8,12),(8,13),(8,14),(8,15),(9,31),(9,32),(9,33),(9,34),(9,35),(9,36),(10,25),(10,31),(10,41),(10,43),(11,25),(11,32),(11,42),(11,44),(12,26),(12,33),(12,41),(12,44),(13,26),(13,34),(13,42),(13,43),(14,27),(14,35),(14,41),(14,42),(15,27),(15,36),(15,43),(15,44),(16,28),(16,31),(16,45),(16,47),(17,28),(17,32),(17,46),(17,48),(18,29),(18,33),(18,45),(18,48),(19,29),(19,34),(19,46),(19,47),(20,30),(20,35),(20,45),(20,46),(21,30),(21,36),(21,47),(21,48),(22,27),(22,30),(22,56),(23,26),(23,29),(23,56),(24,25),(24,28),(24,56),(25,49),(25,57),(26,50),(26,57),(27,51),(27,57),(28,49),(28,58),(29,50),(29,58),(30,51),(30,58),(31,49),(31,52),(31,54),(32,49),(32,53),(32,55),(33,50),(33,52),(33,55),(34,50),(34,53),(34,54),(35,51),(35,52),(35,53),(36,51),(36,54),(36,55),(37,41),(37,45),(37,56),(38,42),(38,46),(38,56),(39,43),(39,47),(39,56),(40,44),(40,48),(40,56),(41,52),(41,57),(42,53),(42,57),(43,54),(43,57),(44,55),(44,57),(45,52),(45,58),(46,53),(46,58),(47,54),(47,58),(48,55),(48,58),(49,59),(50,59),(51,59),(52,59),(53,59),(54,59),(55,59),(56,57),(56,58),(57,59),(58,59)],60)=>48 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,16),(1,19),(1,21),(1,22),(1,25),(2,9),(2,15),(2,18),(2,20),(2,22),(2,24),(3,8),(3,14),(3,17),(3,20),(3,21),(3,23),(4,11),(4,12),(4,13),(4,23),(4,24),(4,25),(5,8),(5,9),(5,10),(5,11),(5,26),(6,13),(6,17),(6,18),(6,19),(6,26),(7,12),(7,14),(7,15),(7,16),(7,26),(8,30),(8,51),(8,58),(9,31),(9,52),(9,58),(10,32),(10,53),(10,58),(11,30),(11,31),(11,32),(11,54),(12,39),(12,40),(12,41),(12,54),(13,42),(13,43),(13,44),(13,54),(14,33),(14,34),(14,39),(14,51),(15,33),(15,35),(15,40),(15,52),(16,34),(16,35),(16,41),(16,53),(17,36),(17,37),(17,42),(17,51),(18,36),(18,38),(18,43),(18,52),(19,37),(19,38),(19,44),(19,53),(20,29),(20,33),(20,36),(20,58),(21,27),(21,34),(21,37),(21,58),(22,28),(22,35),(22,38),(22,58),(23,27),(23,29),(23,30),(23,39),(23,42),(24,28),(24,29),(24,31),(24,40),(24,43),(25,27),(25,28),(25,32),(25,41),(25,44),(26,51),(26,52),(26,53),(26,54),(27,45),(27,48),(27,59),(28,46),(28,49),(28,59),(29,47),(29,50),(29,59),(30,55),(30,59),(31,56),(31,59),(32,57),(32,59),(33,47),(33,60),(34,45),(34,60),(35,46),(35,60),(36,50),(36,60),(37,48),(37,60),(38,49),(38,60),(39,45),(39,47),(39,55),(40,46),(40,47),(40,56),(41,45),(41,46),(41,57),(42,48),(42,50),(42,55),(43,49),(43,50),(43,56),(44,48),(44,49),(44,57),(45,61),(46,61),(47,61),(48,61),(49,61),(50,61),(51,55),(51,60),(52,56),(52,60),(53,57),(53,60),(54,55),(54,56),(54,57),(55,61),(56,61),(57,61),(58,59),(58,60),(59,61),(60,61)],62)=>20 ([(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)=>64 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(1,10),(1,11),(1,40),(1,41),(2,15),(2,16),(2,17),(2,26),(2,27),(2,41),(3,12),(3,13),(3,14),(3,24),(3,25),(3,41),(4,21),(4,22),(4,23),(4,25),(4,27),(4,40),(5,18),(5,19),(5,20),(5,24),(5,26),(5,40),(6,11),(6,14),(6,17),(6,20),(6,23),(6,42),(7,10),(7,13),(7,16),(7,19),(7,22),(7,42),(8,9),(8,12),(8,15),(8,18),(8,21),(8,42),(9,43),(9,46),(9,49),(10,44),(10,47),(10,49),(11,45),(11,48),(11,49),(12,28),(12,31),(12,43),(12,50),(13,29),(13,32),(13,44),(13,50),(14,30),(14,33),(14,45),(14,50),(15,34),(15,37),(15,43),(15,51),(16,35),(16,38),(16,44),(16,51),(17,36),(17,39),(17,45),(17,51),(18,28),(18,34),(18,46),(18,52),(19,29),(19,35),(19,47),(19,52),(20,30),(20,36),(20,48),(20,52),(21,31),(21,37),(21,46),(21,53),(22,32),(22,38),(22,47),(22,53),(23,33),(23,39),(23,48),(23,53),(24,28),(24,29),(24,30),(24,58),(25,31),(25,32),(25,33),(25,58),(26,34),(26,35),(26,36),(26,58),(27,37),(27,38),(27,39),(27,58),(28,54),(28,61),(29,54),(29,62),(30,54),(30,63),(31,55),(31,61),(32,55),(32,62),(33,55),(33,63),(34,56),(34,61),(35,56),(35,62),(36,56),(36,63),(37,57),(37,61),(38,57),(38,62),(39,57),(39,63),(40,46),(40,47),(40,48),(40,58),(41,43),(41,44),(41,45),(41,58),(42,49),(42,50),(42,51),(42,52),(42,53),(43,59),(43,61),(44,59),(44,62),(45,59),(45,63),(46,60),(46,61),(47,60),(47,62),(48,60),(48,63),(49,59),(49,60),(50,54),(50,55),(50,59),(51,56),(51,57),(51,59),(52,54),(52,56),(52,60),(53,55),(53,57),(53,60),(54,64),(55,64),(56,64),(57,64),(58,61),(58,62),(58,63),(59,64),(60,64),(61,64),(62,64),(63,64)],65)=>45 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,23),(1,24),(1,25),(1,26),(1,27),(1,28),(2,10),(2,12),(2,16),(2,21),(2,22),(2,24),(3,10),(3,11),(3,15),(3,19),(3,20),(3,23),(4,9),(4,14),(4,18),(4,20),(4,22),(4,26),(5,9),(5,13),(5,17),(5,19),(5,21),(5,25),(6,8),(6,15),(6,16),(6,17),(6,18),(6,28),(7,8),(7,11),(7,12),(7,13),(7,14),(7,27),(8,31),(8,61),(8,62),(9,30),(9,60),(9,62),(10,29),(10,60),(10,61),(11,32),(11,44),(11,45),(11,61),(12,33),(12,46),(12,47),(12,61),(13,34),(13,44),(13,46),(13,62),(14,35),(14,45),(14,47),(14,62),(15,36),(15,48),(15,49),(15,61),(16,37),(16,50),(16,51),(16,61),(17,38),(17,48),(17,50),(17,62),(18,39),(18,49),(18,51),(18,62),(19,40),(19,44),(19,48),(19,60),(20,41),(20,45),(20,49),(20,60),(21,42),(21,46),(21,50),(21,60),(22,43),(22,47),(22,51),(22,60),(23,29),(23,32),(23,36),(23,40),(23,41),(24,29),(24,33),(24,37),(24,42),(24,43),(25,30),(25,34),(25,38),(25,40),(25,42),(26,30),(26,35),(26,39),(26,41),(26,43),(27,31),(27,32),(27,33),(27,34),(27,35),(28,31),(28,36),(28,37),(28,38),(28,39),(29,63),(29,64),(30,63),(30,65),(31,64),(31,65),(32,52),(32,53),(32,64),(33,54),(33,55),(33,64),(34,52),(34,54),(34,65),(35,53),(35,55),(35,65),(36,56),(36,57),(36,64),(37,58),(37,59),(37,64),(38,56),(38,58),(38,65),(39,57),(39,59),(39,65),(40,52),(40,56),(40,63),(41,53),(41,57),(41,63),(42,54),(42,58),(42,63),(43,55),(43,59),(43,63),(44,52),(44,66),(45,53),(45,66),(46,54),(46,66),(47,55),(47,66),(48,56),(48,66),(49,57),(49,66),(50,58),(50,66),(51,59),(51,66),(52,67),(53,67),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,63),(60,66),(61,64),(61,66),(62,65),(62,66),(63,67),(64,67),(65,67),(66,67)],68)=>16 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(1,13),(1,14),(1,44),(1,46),(2,9),(2,11),(2,12),(2,44),(2,45),(3,15),(3,24),(3,25),(3,26),(3,27),(3,44),(4,12),(4,17),(4,22),(4,23),(4,25),(4,46),(5,11),(5,16),(5,20),(5,21),(5,24),(5,46),(6,14),(6,19),(6,21),(6,23),(6,27),(6,45),(7,13),(7,18),(7,20),(7,22),(7,26),(7,45),(8,9),(8,10),(8,15),(8,16),(8,17),(8,18),(8,19),(9,36),(9,37),(9,47),(9,52),(10,38),(10,39),(10,47),(10,53),(11,36),(11,48),(11,62),(12,37),(12,49),(12,62),(13,38),(13,50),(13,63),(14,39),(14,51),(14,63),(15,32),(15,33),(15,34),(15,35),(15,47),(16,32),(16,36),(16,40),(16,41),(16,53),(17,33),(17,37),(17,42),(17,43),(17,53),(18,34),(18,38),(18,40),(18,42),(18,52),(19,35),(19,39),(19,41),(19,43),(19,52),(20,28),(20,40),(20,48),(20,50),(21,29),(21,41),(21,48),(21,51),(22,30),(22,42),(22,49),(22,50),(23,31),(23,43),(23,49),(23,51),(24,28),(24,29),(24,32),(24,62),(25,30),(25,31),(25,33),(25,62),(26,28),(26,30),(26,34),(26,63),(27,29),(27,31),(27,35),(27,63),(28,54),(28,66),(29,55),(29,66),(30,56),(30,66),(31,57),(31,66),(32,54),(32,55),(32,64),(33,56),(33,57),(33,64),(34,54),(34,56),(34,65),(35,55),(35,57),(35,65),(36,58),(36,64),(37,59),(37,64),(38,60),(38,65),(39,61),(39,65),(40,54),(40,58),(40,60),(41,55),(41,58),(41,61),(42,56),(42,59),(42,60),(43,57),(43,59),(43,61),(44,47),(44,62),(44,63),(45,48),(45,49),(45,52),(45,63),(46,50),(46,51),(46,53),(46,62),(47,64),(47,65),(48,58),(48,66),(49,59),(49,66),(50,60),(50,66),(51,61),(51,66),(52,58),(52,59),(52,65),(53,60),(53,61),(53,64),(54,67),(55,67),(56,67),(57,67),(58,67),(59,67),(60,67),(61,67),(62,64),(62,66),(63,65),(63,66),(64,67),(65,67),(66,67)],68)=>28 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,12),(5,13),(5,14),(5,15),(5,26),(6,8),(6,9),(6,10),(6,11),(6,26),(7,16),(7,17),(7,18),(7,19),(7,26),(8,37),(8,38),(8,40),(8,57),(9,37),(9,39),(9,41),(9,58),(10,38),(10,39),(10,42),(10,59),(11,40),(11,41),(11,42),(11,60),(12,43),(12,44),(12,46),(12,57),(13,43),(13,45),(13,47),(13,58),(14,44),(14,45),(14,48),(14,59),(15,46),(15,47),(15,48),(15,60),(16,31),(16,32),(16,34),(16,57),(17,31),(17,33),(17,35),(17,58),(18,32),(18,33),(18,36),(18,59),(19,34),(19,35),(19,36),(19,60),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,57),(26,58),(26,59),(26,60),(27,49),(27,53),(27,67),(28,50),(28,54),(28,67),(29,51),(29,55),(29,67),(30,52),(30,56),(30,67),(31,63),(31,67),(32,61),(32,67),(33,62),(33,67),(34,64),(34,67),(35,65),(35,67),(36,66),(36,67),(37,49),(37,52),(37,63),(38,49),(38,50),(38,61),(39,49),(39,51),(39,62),(40,50),(40,52),(40,64),(41,51),(41,52),(41,65),(42,50),(42,51),(42,66),(43,53),(43,56),(43,63),(44,53),(44,54),(44,61),(45,53),(45,55),(45,62),(46,54),(46,56),(46,64),(47,55),(47,56),(47,65),(48,54),(48,55),(48,66),(49,68),(50,68),(51,68),(52,68),(53,68),(54,68),(55,68),(56,68),(57,61),(57,63),(57,64),(58,62),(58,63),(58,65),(59,61),(59,62),(59,66),(60,64),(60,65),(60,66),(61,68),(62,68),(63,68),(64,68),(65,68),(66,68),(67,68)],69)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(1,22),(1,23),(1,24),(1,25),(1,26),(1,27),(2,11),(2,15),(2,20),(2,21),(2,23),(2,50),(3,10),(3,14),(3,18),(3,19),(3,22),(3,50),(4,13),(4,17),(4,19),(4,21),(4,25),(4,49),(5,12),(5,16),(5,18),(5,20),(5,24),(5,49),(6,14),(6,15),(6,16),(6,17),(6,27),(6,48),(7,10),(7,11),(7,12),(7,13),(7,26),(7,48),(8,9),(8,48),(8,49),(8,50),(9,59),(9,60),(9,61),(10,28),(10,40),(10,41),(10,63),(11,29),(11,42),(11,43),(11,63),(12,30),(12,40),(12,42),(12,64),(13,31),(13,41),(13,43),(13,64),(14,32),(14,44),(14,45),(14,63),(15,33),(15,46),(15,47),(15,63),(16,34),(16,44),(16,46),(16,64),(17,35),(17,45),(17,47),(17,64),(18,36),(18,40),(18,44),(18,62),(19,37),(19,41),(19,45),(19,62),(20,38),(20,42),(20,46),(20,62),(21,39),(21,43),(21,47),(21,62),(22,28),(22,32),(22,36),(22,37),(22,59),(23,29),(23,33),(23,38),(23,39),(23,59),(24,30),(24,34),(24,36),(24,38),(24,60),(25,31),(25,35),(25,37),(25,39),(25,60),(26,28),(26,29),(26,30),(26,31),(26,61),(27,32),(27,33),(27,34),(27,35),(27,61),(28,51),(28,52),(28,66),(29,53),(29,54),(29,66),(30,51),(30,53),(30,67),(31,52),(31,54),(31,67),(32,55),(32,56),(32,66),(33,57),(33,58),(33,66),(34,55),(34,57),(34,67),(35,56),(35,58),(35,67),(36,51),(36,55),(36,65),(37,52),(37,56),(37,65),(38,53),(38,57),(38,65),(39,54),(39,58),(39,65),(40,51),(40,68),(41,52),(41,68),(42,53),(42,68),(43,54),(43,68),(44,55),(44,68),(45,56),(45,68),(46,57),(46,68),(47,58),(47,68),(48,61),(48,63),(48,64),(49,60),(49,62),(49,64),(50,59),(50,62),(50,63),(51,69),(52,69),(53,69),(54,69),(55,69),(56,69),(57,69),(58,69),(59,65),(59,66),(60,65),(60,67),(61,66),(61,67),(62,65),(62,68),(63,66),(63,68),(64,67),(64,68),(65,69),(66,69),(67,69),(68,69)],70)=>30 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(1,10),(1,16),(1,26),(1,27),(1,28),(2,8),(2,10),(2,15),(2,23),(2,24),(2,25),(3,8),(3,9),(3,14),(3,20),(3,21),(3,22),(4,12),(4,13),(4,19),(4,22),(4,25),(4,28),(5,11),(5,13),(5,18),(5,21),(5,24),(5,27),(6,11),(6,12),(6,17),(6,20),(6,23),(6,26),(7,14),(7,15),(7,16),(7,17),(7,18),(7,19),(8,35),(8,36),(8,37),(8,66),(9,29),(9,30),(9,31),(9,66),(10,32),(10,33),(10,34),(10,66),(11,40),(11,43),(11,46),(11,65),(12,38),(12,41),(12,44),(12,65),(13,39),(13,42),(13,45),(13,65),(14,47),(14,48),(14,49),(14,66),(15,50),(15,51),(15,52),(15,66),(16,53),(16,54),(16,55),(16,66),(17,47),(17,50),(17,53),(17,65),(18,48),(18,51),(18,54),(18,65),(19,49),(19,52),(19,55),(19,65),(20,29),(20,35),(20,38),(20,40),(20,47),(21,30),(21,36),(21,39),(21,40),(21,48),(22,31),(22,37),(22,38),(22,39),(22,49),(23,32),(23,35),(23,41),(23,43),(23,50),(24,33),(24,36),(24,42),(24,43),(24,51),(25,34),(25,37),(25,41),(25,42),(25,52),(26,29),(26,32),(26,44),(26,46),(26,53),(27,30),(27,33),(27,45),(27,46),(27,54),(28,31),(28,34),(28,44),(28,45),(28,55),(29,56),(29,58),(29,67),(30,57),(30,58),(30,68),(31,56),(31,57),(31,69),(32,59),(32,61),(32,67),(33,60),(33,61),(33,68),(34,59),(34,60),(34,69),(35,62),(35,64),(35,67),(36,63),(36,64),(36,68),(37,62),(37,63),(37,69),(38,56),(38,62),(38,70),(39,57),(39,63),(39,70),(40,58),(40,64),(40,70),(41,59),(41,62),(41,71),(42,60),(42,63),(42,71),(43,61),(43,64),(43,71),(44,56),(44,59),(44,72),(45,57),(45,60),(45,72),(46,58),(46,61),(46,72),(47,67),(47,70),(48,68),(48,70),(49,69),(49,70),(50,67),(50,71),(51,68),(51,71),(52,69),(52,71),(53,67),(53,72),(54,68),(54,72),(55,69),(55,72),(56,73),(57,73),(58,73),(59,73),(60,73),(61,73),(62,73),(63,73),(64,73),(65,70),(65,71),(65,72),(66,67),(66,68),(66,69),(67,73),(68,73),(69,73),(70,73),(71,73),(72,73)],74)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,11),(1,17),(1,23),(1,30),(1,42),(1,44),(2,10),(2,16),(2,22),(2,30),(2,41),(2,43),(3,12),(3,18),(3,24),(3,29),(3,41),(3,44),(4,13),(4,19),(4,25),(4,29),(4,42),(4,43),(5,15),(5,21),(5,27),(5,28),(5,43),(5,44),(6,14),(6,20),(6,26),(6,28),(6,41),(6,42),(7,22),(7,23),(7,24),(7,25),(7,26),(7,27),(7,31),(8,16),(8,17),(8,18),(8,19),(8,20),(8,21),(8,31),(9,10),(9,11),(9,12),(9,13),(9,14),(9,15),(9,31),(10,32),(10,45),(10,47),(10,57),(11,32),(11,46),(11,48),(11,58),(12,33),(12,45),(12,48),(12,59),(13,33),(13,46),(13,47),(13,60),(14,34),(14,45),(14,46),(14,61),(15,34),(15,47),(15,48),(15,62),(16,35),(16,49),(16,51),(16,57),(17,35),(17,50),(17,52),(17,58),(18,36),(18,49),(18,52),(18,59),(19,36),(19,50),(19,51),(19,60),(20,37),(20,49),(20,50),(20,61),(21,37),(21,51),(21,52),(21,62),(22,38),(22,53),(22,55),(22,57),(23,38),(23,54),(23,56),(23,58),(24,39),(24,53),(24,56),(24,59),(25,39),(25,54),(25,55),(25,60),(26,40),(26,53),(26,54),(26,61),(27,40),(27,55),(27,56),(27,62),(28,34),(28,37),(28,40),(28,70),(29,33),(29,36),(29,39),(29,70),(30,32),(30,35),(30,38),(30,70),(31,57),(31,58),(31,59),(31,60),(31,61),(31,62),(32,63),(32,71),(33,64),(33,71),(34,65),(34,71),(35,63),(35,72),(36,64),(36,72),(37,65),(37,72),(38,63),(38,73),(39,64),(39,73),(40,65),(40,73),(41,45),(41,49),(41,53),(41,70),(42,46),(42,50),(42,54),(42,70),(43,47),(43,51),(43,55),(43,70),(44,48),(44,52),(44,56),(44,70),(45,66),(45,71),(46,67),(46,71),(47,68),(47,71),(48,69),(48,71),(49,66),(49,72),(50,67),(50,72),(51,68),(51,72),(52,69),(52,72),(53,66),(53,73),(54,67),(54,73),(55,68),(55,73),(56,69),(56,73),(57,63),(57,66),(57,68),(58,63),(58,67),(58,69),(59,64),(59,66),(59,69),(60,64),(60,67),(60,68),(61,65),(61,66),(61,67),(62,65),(62,68),(62,69),(63,74),(64,74),(65,74),(66,74),(67,74),(68,74),(69,74),(70,71),(70,72),(70,73),(71,74),(72,74),(73,74)],75)=>60 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(1,11),(1,12),(1,51),(1,52),(2,16),(2,20),(2,24),(2,28),(2,30),(2,52),(3,15),(3,19),(3,23),(3,28),(3,29),(3,51),(4,17),(4,21),(4,25),(4,27),(4,29),(4,52),(5,18),(5,22),(5,26),(5,27),(5,30),(5,51),(6,9),(6,11),(6,14),(6,19),(6,20),(6,21),(6,22),(7,9),(7,10),(7,13),(7,15),(7,16),(7,17),(7,18),(8,12),(8,13),(8,14),(8,23),(8,24),(8,25),(8,26),(9,37),(9,40),(9,69),(9,70),(10,37),(10,49),(10,53),(10,54),(11,37),(11,50),(11,55),(11,56),(12,49),(12,50),(12,57),(12,58),(13,40),(13,41),(13,42),(13,43),(13,44),(13,49),(14,40),(14,45),(14,46),(14,47),(14,48),(14,50),(15,33),(15,41),(15,53),(15,69),(16,34),(16,42),(16,54),(16,69),(17,33),(17,43),(17,54),(17,70),(18,34),(18,44),(18,53),(18,70),(19,35),(19,45),(19,55),(19,69),(20,36),(20,46),(20,56),(20,69),(21,35),(21,47),(21,56),(21,70),(22,36),(22,48),(22,55),(22,70),(23,31),(23,38),(23,41),(23,45),(23,57),(24,32),(24,38),(24,42),(24,46),(24,58),(25,31),(25,39),(25,43),(25,47),(25,58),(26,32),(26,39),(26,44),(26,48),(26,57),(27,39),(27,68),(27,70),(28,38),(28,68),(28,69),(29,31),(29,33),(29,35),(29,68),(30,32),(30,34),(30,36),(30,68),(31,60),(31,62),(31,71),(32,61),(32,63),(32,71),(33,60),(33,74),(34,61),(34,74),(35,62),(35,74),(36,63),(36,74),(37,59),(37,74),(38,71),(38,72),(39,71),(39,73),(40,59),(40,72),(40,73),(41,60),(41,64),(41,72),(42,61),(42,65),(42,72),(43,60),(43,65),(43,73),(44,61),(44,64),(44,73),(45,62),(45,66),(45,72),(46,63),(46,67),(46,72),(47,62),(47,67),(47,73),(48,63),(48,66),(48,73),(49,59),(49,64),(49,65),(50,59),(50,66),(50,67),(51,53),(51,55),(51,57),(51,68),(52,54),(52,56),(52,58),(52,68),(53,64),(53,74),(54,65),(54,74),(55,66),(55,74),(56,67),(56,74),(57,64),(57,66),(57,71),(58,65),(58,67),(58,71),(59,75),(60,75),(61,75),(62,75),(63,75),(64,75),(65,75),(66,75),(67,75),(68,71),(68,74),(69,72),(69,74),(70,73),(70,74),(71,75),(72,75),(73,75),(74,75)],76)=>22 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(1,11),(1,13),(1,17),(1,18),(1,19),(2,8),(2,9),(2,13),(2,14),(2,15),(2,16),(3,9),(3,11),(3,12),(3,23),(3,24),(3,25),(4,8),(4,10),(4,12),(4,20),(4,21),(4,22),(5,16),(5,19),(5,22),(5,25),(5,27),(5,28),(6,15),(6,18),(6,21),(6,24),(6,26),(6,28),(7,14),(7,17),(7,20),(7,23),(7,26),(7,27),(8,35),(8,36),(8,37),(8,72),(9,38),(9,39),(9,40),(9,72),(10,41),(10,42),(10,43),(10,72),(11,44),(11,45),(11,46),(11,72),(12,32),(12,33),(12,34),(12,72),(13,29),(13,30),(13,31),(13,72),(14,29),(14,35),(14,38),(14,48),(14,49),(15,30),(15,36),(15,39),(15,48),(15,50),(16,31),(16,37),(16,40),(16,49),(16,50),(17,29),(17,41),(17,44),(17,51),(17,52),(18,30),(18,42),(18,45),(18,51),(18,53),(19,31),(19,43),(19,46),(19,52),(19,53),(20,32),(20,35),(20,41),(20,54),(20,55),(21,33),(21,36),(21,42),(21,54),(21,56),(22,34),(22,37),(22,43),(22,55),(22,56),(23,32),(23,38),(23,44),(23,57),(23,58),(24,33),(24,39),(24,45),(24,57),(24,59),(25,34),(25,40),(25,46),(25,58),(25,59),(26,47),(26,48),(26,51),(26,54),(26,57),(27,47),(27,49),(27,52),(27,55),(27,58),(28,47),(28,50),(28,53),(28,56),(28,59),(29,73),(29,76),(30,74),(30,76),(31,75),(31,76),(32,73),(32,77),(33,74),(33,77),(34,75),(34,77),(35,60),(35,61),(35,73),(36,60),(36,62),(36,74),(37,61),(37,62),(37,75),(38,63),(38,64),(38,73),(39,63),(39,65),(39,74),(40,64),(40,65),(40,75),(41,66),(41,67),(41,73),(42,66),(42,68),(42,74),(43,67),(43,68),(43,75),(44,69),(44,70),(44,73),(45,69),(45,71),(45,74),(46,70),(46,71),(46,75),(47,76),(47,77),(48,60),(48,63),(48,76),(49,61),(49,64),(49,76),(50,62),(50,65),(50,76),(51,66),(51,69),(51,76),(52,67),(52,70),(52,76),(53,68),(53,71),(53,76),(54,60),(54,66),(54,77),(55,61),(55,67),(55,77),(56,62),(56,68),(56,77),(57,63),(57,69),(57,77),(58,64),(58,70),(58,77),(59,65),(59,71),(59,77),(60,78),(61,78),(62,78),(63,78),(64,78),(65,78),(66,78),(67,78),(68,78),(69,78),(70,78),(71,78),(72,73),(72,74),(72,75),(73,78),(74,78),(75,78),(76,78),(77,78)],79)=>9 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,10),(1,22),(1,23),(1,24),(1,25),(1,26),(1,29),(1,30),(2,13),(2,18),(2,19),(2,20),(2,21),(2,30),(2,36),(3,12),(3,14),(3,15),(3,16),(3,17),(3,29),(3,36),(4,11),(4,12),(4,13),(4,26),(4,51),(4,52),(5,15),(5,19),(5,23),(5,28),(5,50),(5,52),(6,14),(6,18),(6,22),(6,28),(6,49),(6,51),(7,17),(7,20),(7,24),(7,27),(7,49),(7,52),(8,16),(8,21),(8,25),(8,27),(8,50),(8,51),(9,10),(9,11),(9,36),(9,49),(9,50),(10,31),(10,58),(10,59),(10,60),(11,31),(11,57),(11,74),(12,32),(12,57),(12,63),(12,64),(13,33),(13,57),(13,65),(13,66),(14,37),(14,45),(14,63),(14,72),(15,38),(15,45),(15,64),(15,73),(16,39),(16,46),(16,63),(16,73),(17,40),(17,46),(17,64),(17,72),(18,41),(18,47),(18,65),(18,72),(19,42),(19,47),(19,66),(19,73),(20,43),(20,48),(20,66),(20,72),(21,44),(21,48),(21,65),(21,73),(22,34),(22,37),(22,41),(22,58),(22,61),(23,34),(23,38),(23,42),(23,59),(23,62),(24,35),(24,40),(24,43),(24,58),(24,62),(25,35),(25,39),(25,44),(25,59),(25,61),(26,31),(26,32),(26,33),(26,61),(26,62),(27,35),(27,46),(27,48),(27,74),(28,34),(28,45),(28,47),(28,74),(29,32),(29,37),(29,38),(29,39),(29,40),(29,60),(30,33),(30,41),(30,42),(30,43),(30,44),(30,60),(31,71),(31,77),(32,67),(32,68),(32,71),(33,69),(33,70),(33,71),(34,53),(34,55),(34,77),(35,54),(35,56),(35,77),(36,57),(36,60),(36,72),(36,73),(37,53),(37,67),(37,75),(38,53),(38,68),(38,76),(39,54),(39,67),(39,76),(40,54),(40,68),(40,75),(41,55),(41,69),(41,75),(42,55),(42,70),(42,76),(43,56),(43,70),(43,75),(44,56),(44,69),(44,76),(45,53),(45,78),(46,54),(46,78),(47,55),(47,78),(48,56),(48,78),(49,58),(49,72),(49,74),(50,59),(50,73),(50,74),(51,61),(51,63),(51,65),(51,74),(52,62),(52,64),(52,66),(52,74),(53,79),(54,79),(55,79),(56,79),(57,71),(57,78),(58,75),(58,77),(59,76),(59,77),(60,71),(60,75),(60,76),(61,67),(61,69),(61,77),(62,68),(62,70),(62,77),(63,67),(63,78),(64,68),(64,78),(65,69),(65,78),(66,70),(66,78),(67,79),(68,79),(69,79),(70,79),(71,79),(72,75),(72,78),(73,76),(73,78),(74,77),(74,78),(75,79),(76,79),(77,79),(78,79)],80)=>36 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(1,13),(1,22),(1,25),(1,26),(1,52),(2,10),(2,11),(2,22),(2,23),(2,24),(2,51),(3,16),(3,17),(3,24),(3,29),(3,30),(3,52),(4,14),(4,15),(4,23),(4,27),(4,28),(4,52),(5,20),(5,21),(5,26),(5,28),(5,30),(5,51),(6,18),(6,19),(6,25),(6,27),(6,29),(6,51),(7,9),(7,11),(7,13),(7,15),(7,17),(7,19),(7,21),(8,9),(8,10),(8,12),(8,14),(8,16),(8,18),(8,20),(9,31),(9,32),(9,33),(9,34),(9,75),(10,35),(10,37),(10,59),(10,75),(11,36),(11,38),(11,60),(11,75),(12,39),(12,41),(12,61),(12,75),(13,40),(13,42),(13,62),(13,75),(14,31),(14,35),(14,43),(14,45),(14,61),(15,31),(15,36),(15,44),(15,46),(15,62),(16,32),(16,37),(16,47),(16,49),(16,61),(17,32),(17,38),(17,48),(17,50),(17,62),(18,33),(18,39),(18,43),(18,47),(18,59),(19,33),(19,40),(19,44),(19,48),(19,60),(20,34),(20,41),(20,45),(20,49),(20,59),(21,34),(21,42),(21,46),(21,50),(21,60),(22,53),(22,54),(22,75),(23,35),(23,36),(23,53),(23,55),(24,37),(24,38),(24,53),(24,56),(25,39),(25,40),(25,54),(25,57),(26,41),(26,42),(26,54),(26,58),(27,43),(27,44),(27,55),(27,57),(28,45),(28,46),(28,55),(28,58),(29,47),(29,48),(29,56),(29,57),(30,49),(30,50),(30,56),(30,58),(31,63),(31,64),(31,77),(32,65),(32,66),(32,77),(33,63),(33,65),(33,78),(34,64),(34,66),(34,78),(35,67),(35,77),(36,68),(36,77),(37,69),(37,77),(38,70),(38,77),(39,71),(39,78),(40,72),(40,78),(41,73),(41,78),(42,74),(42,78),(43,63),(43,67),(43,71),(44,63),(44,68),(44,72),(45,64),(45,67),(45,73),(46,64),(46,68),(46,74),(47,65),(47,69),(47,71),(48,65),(48,70),(48,72),(49,66),(49,69),(49,73),(50,66),(50,70),(50,74),(51,54),(51,55),(51,56),(51,59),(51,60),(52,53),(52,57),(52,58),(52,61),(52,62),(53,76),(53,77),(54,76),(54,78),(55,67),(55,68),(55,76),(56,69),(56,70),(56,76),(57,71),(57,72),(57,76),(58,73),(58,74),(58,76),(59,67),(59,69),(59,78),(60,68),(60,70),(60,78),(61,71),(61,73),(61,77),(62,72),(62,74),(62,77),(63,79),(64,79),(65,79),(66,79),(67,79),(68,79),(69,79),(70,79),(71,79),(72,79),(73,79),(74,79),(75,77),(75,78),(76,79),(77,79),(78,79)],80)=>15 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,15),(1,19),(1,23),(1,24),(1,25),(2,10),(2,14),(2,18),(2,21),(2,22),(2,25),(3,9),(3,13),(3,17),(3,20),(3,22),(3,24),(4,8),(4,12),(4,16),(4,20),(4,21),(4,23),(5,16),(5,17),(5,18),(5,19),(5,26),(6,12),(6,13),(6,14),(6,15),(6,26),(7,8),(7,9),(7,10),(7,11),(7,26),(8,31),(8,32),(8,34),(8,62),(9,31),(9,33),(9,35),(9,63),(10,32),(10,33),(10,36),(10,64),(11,34),(11,35),(11,36),(11,65),(12,37),(12,38),(12,40),(12,62),(13,37),(13,39),(13,41),(13,63),(14,38),(14,39),(14,42),(14,64),(15,40),(15,41),(15,42),(15,65),(16,43),(16,44),(16,46),(16,62),(17,43),(17,45),(17,47),(17,63),(18,44),(18,45),(18,48),(18,64),(19,46),(19,47),(19,48),(19,65),(20,27),(20,30),(20,31),(20,37),(20,43),(21,27),(21,28),(21,32),(21,38),(21,44),(22,27),(22,29),(22,33),(22,39),(22,45),(23,28),(23,30),(23,34),(23,40),(23,46),(24,29),(24,30),(24,35),(24,41),(24,47),(25,28),(25,29),(25,36),(25,42),(25,48),(26,62),(26,63),(26,64),(26,65),(27,49),(27,50),(27,54),(27,58),(28,49),(28,51),(28,55),(28,59),(29,49),(29,52),(29,56),(29,60),(30,49),(30,53),(30,57),(30,61),(31,50),(31,53),(31,68),(32,50),(32,51),(32,66),(33,50),(33,52),(33,67),(34,51),(34,53),(34,69),(35,52),(35,53),(35,70),(36,51),(36,52),(36,71),(37,54),(37,57),(37,68),(38,54),(38,55),(38,66),(39,54),(39,56),(39,67),(40,55),(40,57),(40,69),(41,56),(41,57),(41,70),(42,55),(42,56),(42,71),(43,58),(43,61),(43,68),(44,58),(44,59),(44,66),(45,58),(45,60),(45,67),(46,59),(46,61),(46,69),(47,60),(47,61),(47,70),(48,59),(48,60),(48,71),(49,72),(49,73),(49,74),(50,72),(50,78),(51,72),(51,75),(52,72),(52,76),(53,72),(53,77),(54,73),(54,78),(55,73),(55,75),(56,73),(56,76),(57,73),(57,77),(58,74),(58,78),(59,74),(59,75),(60,74),(60,76),(61,74),(61,77),(62,66),(62,68),(62,69),(63,67),(63,68),(63,70),(64,66),(64,67),(64,71),(65,69),(65,70),(65,71),(66,75),(66,78),(67,76),(67,78),(68,77),(68,78),(69,75),(69,77),(70,76),(70,77),(71,75),(71,76),(72,79),(73,79),(74,79),(75,79),(76,79),(77,79),(78,79)],80)=>80 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,14),(1,20),(1,21),(1,24),(1,27),(1,30),(2,10),(2,13),(2,19),(2,21),(2,23),(2,26),(2,29),(3,9),(3,12),(3,19),(3,20),(3,22),(3,25),(3,28),(4,12),(4,13),(4,14),(4,17),(4,18),(4,56),(5,15),(5,16),(5,22),(5,23),(5,24),(5,56),(6,16),(6,18),(6,28),(6,29),(6,30),(6,55),(7,15),(7,17),(7,25),(7,26),(7,27),(7,55),(8,9),(8,10),(8,11),(8,55),(8,56),(9,31),(9,32),(9,63),(9,66),(10,31),(10,33),(10,64),(10,67),(11,32),(11,33),(11,65),(11,68),(12,34),(12,37),(12,63),(12,72),(13,35),(13,38),(13,64),(13,72),(14,36),(14,39),(14,65),(14,72),(15,49),(15,50),(15,51),(15,73),(16,52),(16,53),(16,54),(16,73),(17,34),(17,35),(17,36),(17,73),(18,37),(18,38),(18,39),(18,73),(19,31),(19,42),(19,45),(19,48),(19,72),(20,32),(20,40),(20,43),(20,46),(20,72),(21,33),(21,41),(21,44),(21,47),(21,72),(22,46),(22,48),(22,49),(22,52),(22,63),(23,47),(23,48),(23,50),(23,53),(23,64),(24,46),(24,47),(24,51),(24,54),(24,65),(25,34),(25,40),(25,42),(25,49),(25,66),(26,35),(26,41),(26,42),(26,50),(26,67),(27,36),(27,40),(27,41),(27,51),(27,68),(28,37),(28,43),(28,45),(28,52),(28,66),(29,38),(29,44),(29,45),(29,53),(29,67),(30,39),(30,43),(30,44),(30,54),(30,68),(31,71),(31,79),(32,69),(32,79),(33,70),(33,79),(34,74),(34,77),(35,75),(35,77),(36,76),(36,77),(37,74),(37,78),(38,75),(38,78),(39,76),(39,78),(40,57),(40,69),(40,77),(41,58),(41,70),(41,77),(42,59),(42,71),(42,77),(43,60),(43,69),(43,78),(44,61),(44,70),(44,78),(45,62),(45,71),(45,78),(46,57),(46,60),(46,79),(47,58),(47,61),(47,79),(48,59),(48,62),(48,79),(49,57),(49,59),(49,74),(50,58),(50,59),(50,75),(51,57),(51,58),(51,76),(52,60),(52,62),(52,74),(53,61),(53,62),(53,75),(54,60),(54,61),(54,76),(55,66),(55,67),(55,68),(55,73),(56,63),(56,64),(56,65),(56,73),(57,80),(58,80),(59,80),(60,80),(61,80),(62,80),(63,74),(63,79),(64,75),(64,79),(65,76),(65,79),(66,69),(66,71),(66,74),(67,70),(67,71),(67,75),(68,69),(68,70),(68,76),(69,80),(70,80),(71,80),(72,77),(72,78),(72,79),(73,74),(73,75),(73,76),(74,80),(75,80),(76,80),(77,80),(78,80),(79,80)],81)=>15 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,17),(1,18),(1,21),(1,24),(1,27),(1,30),(2,10),(2,16),(2,18),(2,20),(2,23),(2,26),(2,29),(3,9),(3,16),(3,17),(3,19),(3,22),(3,25),(3,28),(4,14),(4,15),(4,22),(4,23),(4,24),(4,56),(5,12),(5,13),(5,19),(5,20),(5,21),(5,56),(6,13),(6,15),(6,28),(6,29),(6,30),(6,55),(7,12),(7,14),(7,25),(7,26),(7,27),(7,55),(8,9),(8,10),(8,11),(8,55),(8,56),(9,69),(9,72),(9,75),(10,70),(10,73),(10,75),(11,71),(11,74),(11,75),(12,43),(12,44),(12,45),(12,76),(13,46),(13,47),(13,48),(13,76),(14,49),(14,50),(14,51),(14,76),(15,52),(15,53),(15,54),(15,76),(16,33),(16,36),(16,39),(16,42),(16,75),(17,31),(17,34),(17,37),(17,40),(17,75),(18,32),(18,35),(18,38),(18,41),(18,75),(19,31),(19,33),(19,43),(19,46),(19,69),(20,32),(20,33),(20,44),(20,47),(20,70),(21,31),(21,32),(21,45),(21,48),(21,71),(22,34),(22,36),(22,49),(22,52),(22,69),(23,35),(23,36),(23,50),(23,53),(23,70),(24,34),(24,35),(24,51),(24,54),(24,71),(25,37),(25,39),(25,43),(25,49),(25,72),(26,38),(26,39),(26,44),(26,50),(26,73),(27,37),(27,38),(27,45),(27,51),(27,74),(28,40),(28,42),(28,46),(28,52),(28,72),(29,41),(29,42),(29,47),(29,53),(29,73),(30,40),(30,41),(30,48),(30,54),(30,74),(31,57),(31,60),(31,80),(32,58),(32,61),(32,80),(33,59),(33,62),(33,80),(34,63),(34,66),(34,80),(35,64),(35,67),(35,80),(36,65),(36,68),(36,80),(37,57),(37,63),(37,81),(38,58),(38,64),(38,81),(39,59),(39,65),(39,81),(40,60),(40,66),(40,81),(41,61),(41,67),(41,81),(42,62),(42,68),(42,81),(43,57),(43,59),(43,77),(44,58),(44,59),(44,78),(45,57),(45,58),(45,79),(46,60),(46,62),(46,77),(47,61),(47,62),(47,78),(48,60),(48,61),(48,79),(49,63),(49,65),(49,77),(50,64),(50,65),(50,78),(51,63),(51,64),(51,79),(52,66),(52,68),(52,77),(53,67),(53,68),(53,78),(54,66),(54,67),(54,79),(55,72),(55,73),(55,74),(55,76),(56,69),(56,70),(56,71),(56,76),(57,82),(58,82),(59,82),(60,82),(61,82),(62,82),(63,82),(64,82),(65,82),(66,82),(67,82),(68,82),(69,77),(69,80),(70,78),(70,80),(71,79),(71,80),(72,77),(72,81),(73,78),(73,81),(74,79),(74,81),(75,80),(75,81),(76,77),(76,78),(76,79),(77,82),(78,82),(79,82),(80,82),(81,82)],83)=>16 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,21),(1,25),(1,29),(1,33),(1,55),(1,57),(2,20),(2,24),(2,28),(2,32),(2,55),(2,56),(3,22),(3,26),(3,30),(3,32),(3,54),(3,57),(4,23),(4,27),(4,31),(4,33),(4,54),(4,56),(5,11),(5,14),(5,15),(5,17),(5,22),(5,23),(5,55),(6,11),(6,12),(6,13),(6,16),(6,20),(6,21),(6,54),(7,10),(7,12),(7,14),(7,18),(7,24),(7,27),(7,57),(8,10),(8,13),(8,15),(8,19),(8,25),(8,26),(8,56),(9,16),(9,17),(9,18),(9,19),(9,28),(9,29),(9,30),(9,31),(10,53),(10,60),(10,61),(10,74),(11,52),(11,58),(11,59),(11,74),(12,34),(12,38),(12,74),(12,76),(13,35),(13,39),(13,74),(13,75),(14,37),(14,40),(14,74),(14,77),(15,36),(15,41),(15,74),(15,78),(16,38),(16,39),(16,44),(16,45),(16,52),(16,62),(17,40),(17,41),(17,46),(17,47),(17,52),(17,63),(18,38),(18,40),(18,48),(18,51),(18,53),(18,65),(19,39),(19,41),(19,49),(19,50),(19,53),(19,64),(20,34),(20,44),(20,58),(20,75),(21,35),(21,45),(21,58),(21,76),(22,36),(22,46),(22,59),(22,77),(23,37),(23,47),(23,59),(23,78),(24,34),(24,48),(24,60),(24,77),(25,35),(25,49),(25,61),(25,78),(26,36),(26,50),(26,61),(26,75),(27,37),(27,51),(27,60),(27,76),(28,42),(28,44),(28,48),(28,63),(28,64),(29,43),(29,45),(29,49),(29,63),(29,65),(30,42),(30,46),(30,50),(30,62),(30,65),(31,43),(31,47),(31,51),(31,62),(31,64),(32,42),(32,75),(32,77),(33,43),(33,76),(33,78),(34,66),(34,84),(35,67),(35,84),(36,68),(36,84),(37,69),(37,84),(38,66),(38,80),(38,83),(39,67),(39,79),(39,83),(40,69),(40,81),(40,83),(41,68),(41,82),(41,83),(42,79),(42,81),(43,80),(43,82),(44,66),(44,70),(44,79),(45,67),(45,70),(45,80),(46,68),(46,71),(46,81),(47,69),(47,71),(47,82),(48,66),(48,72),(48,81),(49,67),(49,73),(49,82),(50,68),(50,73),(50,79),(51,69),(51,72),(51,80),(52,70),(52,71),(52,83),(53,72),(53,73),(53,83),(54,59),(54,62),(54,75),(54,76),(55,58),(55,63),(55,77),(55,78),(56,60),(56,64),(56,75),(56,78),(57,61),(57,65),(57,76),(57,77),(58,70),(58,84),(59,71),(59,84),(60,72),(60,84),(61,73),(61,84),(62,71),(62,79),(62,80),(63,70),(63,81),(63,82),(64,72),(64,79),(64,82),(65,73),(65,80),(65,81),(66,85),(67,85),(68,85),(69,85),(70,85),(71,85),(72,85),(73,85),(74,83),(74,84),(75,79),(75,84),(76,80),(76,84),(77,81),(77,84),(78,82),(78,84),(79,85),(80,85),(81,85),(82,85),(83,85),(84,85)],86)=>28 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,18),(1,21),(1,24),(1,27),(1,29),(1,30),(2,10),(2,17),(2,20),(2,23),(2,26),(2,28),(2,30),(3,9),(3,16),(3,19),(3,22),(3,25),(3,28),(3,29),(4,13),(4,15),(4,19),(4,20),(4,21),(4,60),(5,13),(5,14),(5,16),(5,17),(5,18),(5,59),(6,12),(6,14),(6,22),(6,23),(6,24),(6,60),(7,12),(7,15),(7,25),(7,26),(7,27),(7,59),(8,9),(8,10),(8,11),(8,59),(8,60),(9,32),(9,33),(9,68),(9,71),(10,32),(10,34),(10,69),(10,72),(11,33),(11,34),(11,70),(11,73),(12,56),(12,57),(12,58),(12,80),(13,53),(13,54),(13,55),(13,80),(14,35),(14,36),(14,37),(14,80),(15,38),(15,39),(15,40),(15,80),(16,35),(16,41),(16,42),(16,53),(16,68),(17,36),(17,41),(17,43),(17,54),(17,69),(18,37),(18,42),(18,43),(18,55),(18,70),(19,38),(19,44),(19,45),(19,53),(19,71),(20,39),(20,44),(20,46),(20,54),(20,72),(21,40),(21,45),(21,46),(21,55),(21,73),(22,35),(22,47),(22,48),(22,56),(22,71),(23,36),(23,47),(23,49),(23,57),(23,72),(24,37),(24,48),(24,49),(24,58),(24,73),(25,38),(25,50),(25,51),(25,56),(25,68),(26,39),(26,50),(26,52),(26,57),(26,69),(27,40),(27,51),(27,52),(27,58),(27,70),(28,31),(28,32),(28,41),(28,44),(28,47),(28,50),(29,31),(29,33),(29,42),(29,45),(29,48),(29,51),(30,31),(30,34),(30,43),(30,46),(30,49),(30,52),(31,67),(31,84),(31,85),(32,67),(32,76),(32,79),(33,67),(33,74),(33,77),(34,67),(34,75),(34,78),(35,81),(35,84),(36,82),(36,84),(37,83),(37,84),(38,81),(38,85),(39,82),(39,85),(40,83),(40,85),(41,63),(41,76),(41,84),(42,61),(42,74),(42,84),(43,62),(43,75),(43,84),(44,63),(44,79),(44,85),(45,61),(45,77),(45,85),(46,62),(46,78),(46,85),(47,66),(47,79),(47,84),(48,64),(48,77),(48,84),(49,65),(49,78),(49,84),(50,66),(50,76),(50,85),(51,64),(51,74),(51,85),(52,65),(52,75),(52,85),(53,61),(53,63),(53,81),(54,62),(54,63),(54,82),(55,61),(55,62),(55,83),(56,64),(56,66),(56,81),(57,65),(57,66),(57,82),(58,64),(58,65),(58,83),(59,68),(59,69),(59,70),(59,80),(60,71),(60,72),(60,73),(60,80),(61,86),(62,86),(63,86),(64,86),(65,86),(66,86),(67,86),(68,74),(68,76),(68,81),(69,75),(69,76),(69,82),(70,74),(70,75),(70,83),(71,77),(71,79),(71,81),(72,78),(72,79),(72,82),(73,77),(73,78),(73,83),(74,86),(75,86),(76,86),(77,86),(78,86),(79,86),(80,81),(80,82),(80,83),(81,86),(82,86),(83,86),(84,86),(85,86)],87)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,15),(1,19),(1,23),(1,27),(1,32),(1,33),(2,10),(2,15),(2,18),(2,22),(2,26),(2,30),(2,31),(3,13),(3,14),(3,21),(3,25),(3,29),(3,31),(3,33),(4,12),(4,14),(4,20),(4,24),(4,28),(4,30),(4,32),(5,9),(5,16),(5,17),(5,26),(5,27),(5,28),(5,29),(6,9),(6,10),(6,11),(6,12),(6,13),(6,34),(7,17),(7,22),(7,23),(7,24),(7,25),(7,34),(8,16),(8,18),(8,19),(8,20),(8,21),(8,34),(9,71),(9,80),(9,81),(10,35),(10,36),(10,72),(10,80),(11,37),(11,38),(11,73),(11,80),(12,35),(12,37),(12,74),(12,81),(13,36),(13,38),(13,75),(13,81),(14,44),(14,46),(14,81),(14,82),(15,43),(15,45),(15,80),(15,82),(16,55),(16,56),(16,57),(16,58),(16,71),(17,59),(17,60),(17,61),(17,62),(17,71),(18,43),(18,47),(18,48),(18,55),(18,72),(19,43),(19,49),(19,50),(19,56),(19,73),(20,44),(20,47),(20,49),(20,57),(20,74),(21,44),(21,48),(21,50),(21,58),(21,75),(22,45),(22,51),(22,52),(22,59),(22,72),(23,45),(23,53),(23,54),(23,60),(23,73),(24,46),(24,51),(24,53),(24,61),(24,74),(25,46),(25,52),(25,54),(25,62),(25,75),(26,39),(26,40),(26,55),(26,59),(26,80),(27,41),(27,42),(27,56),(27,60),(27,80),(28,39),(28,41),(28,57),(28,61),(28,81),(29,40),(29,42),(29,58),(29,62),(29,81),(30,35),(30,39),(30,47),(30,51),(30,82),(31,36),(31,40),(31,48),(31,52),(31,82),(32,37),(32,41),(32,49),(32,53),(32,82),(33,38),(33,42),(33,50),(33,54),(33,82),(34,71),(34,72),(34,73),(34,74),(34,75),(35,76),(35,87),(36,77),(36,87),(37,78),(37,87),(38,79),(38,87),(39,63),(39,67),(39,87),(40,64),(40,68),(40,87),(41,65),(41,69),(41,87),(42,66),(42,70),(42,87),(43,83),(43,85),(44,83),(44,86),(45,84),(45,85),(46,84),(46,86),(47,63),(47,76),(47,83),(48,64),(48,77),(48,83),(49,65),(49,78),(49,83),(50,66),(50,79),(50,83),(51,67),(51,76),(51,84),(52,68),(52,77),(52,84),(53,69),(53,78),(53,84),(54,70),(54,79),(54,84),(55,63),(55,64),(55,85),(56,65),(56,66),(56,85),(57,63),(57,65),(57,86),(58,64),(58,66),(58,86),(59,67),(59,68),(59,85),(60,69),(60,70),(60,85),(61,67),(61,69),(61,86),(62,68),(62,70),(62,86),(63,88),(64,88),(65,88),(66,88),(67,88),(68,88),(69,88),(70,88),(71,85),(71,86),(72,76),(72,77),(72,85),(73,78),(73,79),(73,85),(74,76),(74,78),(74,86),(75,77),(75,79),(75,86),(76,88),(77,88),(78,88),(79,88),(80,85),(80,87),(81,86),(81,87),(82,83),(82,84),(82,87),(83,88),(84,88),(85,88),(86,88),(87,88)],89)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,15),(1,16),(1,17),(1,18),(1,54),(1,55),(2,10),(2,13),(2,14),(2,20),(2,55),(2,57),(3,10),(3,11),(3,12),(3,19),(3,54),(3,56),(4,12),(4,16),(4,23),(4,24),(4,26),(4,30),(4,57),(5,11),(5,15),(5,21),(5,22),(5,25),(5,29),(5,57),(6,14),(6,18),(6,22),(6,24),(6,28),(6,32),(6,56),(7,13),(7,17),(7,21),(7,23),(7,27),(7,31),(7,56),(8,19),(8,27),(8,28),(8,29),(8,30),(8,33),(8,55),(9,20),(9,25),(9,26),(9,31),(9,32),(9,33),(9,54),(10,58),(10,59),(10,78),(11,42),(11,58),(11,60),(11,64),(12,43),(12,58),(12,61),(12,65),(13,44),(13,59),(13,62),(13,66),(14,45),(14,59),(14,63),(14,67),(15,38),(15,39),(15,60),(15,80),(16,40),(16,41),(16,61),(16,80),(17,38),(17,40),(17,62),(17,79),(18,39),(18,41),(18,63),(18,79),(19,42),(19,43),(19,68),(19,78),(20,44),(20,45),(20,69),(20,78),(21,38),(21,46),(21,50),(21,64),(21,66),(22,39),(22,47),(22,51),(22,64),(22,67),(23,40),(23,48),(23,52),(23,65),(23,66),(24,41),(24,49),(24,53),(24,65),(24,67),(25,34),(25,50),(25,51),(25,60),(25,69),(26,35),(26,52),(26,53),(26,61),(26,69),(27,36),(27,46),(27,48),(27,62),(27,68),(28,37),(28,47),(28,49),(28,63),(28,68),(29,34),(29,42),(29,46),(29,47),(29,80),(30,35),(30,43),(30,48),(30,49),(30,80),(31,36),(31,44),(31,50),(31,52),(31,79),(32,37),(32,45),(32,51),(32,53),(32,79),(33,34),(33,35),(33,36),(33,37),(33,78),(34,70),(34,71),(34,86),(35,72),(35,73),(35,86),(36,70),(36,72),(36,87),(37,71),(37,73),(37,87),(38,82),(38,84),(39,82),(39,85),(40,83),(40,84),(41,83),(41,85),(42,74),(42,86),(43,75),(43,86),(44,76),(44,87),(45,77),(45,87),(46,70),(46,74),(46,84),(47,71),(47,74),(47,85),(48,72),(48,75),(48,84),(49,73),(49,75),(49,85),(50,70),(50,76),(50,82),(51,71),(51,77),(51,82),(52,72),(52,76),(52,83),(53,73),(53,77),(53,83),(54,60),(54,61),(54,78),(54,79),(55,62),(55,63),(55,78),(55,80),(56,59),(56,64),(56,65),(56,68),(56,79),(57,58),(57,66),(57,67),(57,69),(57,80),(58,81),(58,86),(59,81),(59,87),(60,82),(60,86),(61,83),(61,86),(62,84),(62,87),(63,85),(63,87),(64,74),(64,81),(64,82),(65,75),(65,81),(65,83),(66,76),(66,81),(66,84),(67,77),(67,81),(67,85),(68,74),(68,75),(68,87),(69,76),(69,77),(69,86),(70,88),(71,88),(72,88),(73,88),(74,88),(75,88),(76,88),(77,88),(78,86),(78,87),(79,82),(79,83),(79,87),(80,84),(80,85),(80,86),(81,88),(82,88),(83,88),(84,88),(85,88),(86,88),(87,88)],89)=>20 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,18),(1,19),(1,20),(1,21),(1,34),(1,57),(2,12),(2,13),(2,16),(2,17),(2,34),(2,56),(3,10),(3,11),(3,14),(3,15),(3,34),(3,55),(4,15),(4,17),(4,24),(4,25),(4,28),(4,29),(4,57),(5,14),(5,16),(5,22),(5,23),(5,26),(5,27),(5,57),(6,11),(6,19),(6,23),(6,25),(6,32),(6,33),(6,56),(7,10),(7,18),(7,22),(7,24),(7,30),(7,31),(7,56),(8,13),(8,21),(8,27),(8,29),(8,31),(8,33),(8,55),(9,12),(9,20),(9,26),(9,28),(9,30),(9,32),(9,55),(10,35),(10,37),(10,62),(10,83),(11,36),(11,38),(11,63),(11,83),(12,39),(12,41),(12,64),(12,84),(13,40),(13,42),(13,65),(13,84),(14,35),(14,36),(14,58),(14,82),(15,37),(15,38),(15,59),(15,82),(16,39),(16,40),(16,60),(16,82),(17,41),(17,42),(17,61),(17,82),(18,43),(18,44),(18,66),(18,83),(19,45),(19,46),(19,67),(19,83),(20,43),(20,45),(20,68),(20,84),(21,44),(21,46),(21,69),(21,84),(22,35),(22,47),(22,48),(22,60),(22,66),(23,36),(23,49),(23,50),(23,60),(23,67),(24,37),(24,51),(24,52),(24,61),(24,66),(25,38),(25,53),(25,54),(25,61),(25,67),(26,39),(26,47),(26,49),(26,58),(26,68),(27,40),(27,48),(27,50),(27,58),(27,69),(28,41),(28,51),(28,53),(28,59),(28,68),(29,42),(29,52),(29,54),(29,59),(29,69),(30,43),(30,47),(30,51),(30,62),(30,64),(31,44),(31,48),(31,52),(31,62),(31,65),(32,45),(32,49),(32,53),(32,63),(32,64),(33,46),(33,50),(33,54),(33,63),(33,65),(34,82),(34,83),(34,84),(35,70),(35,85),(36,71),(36,85),(37,72),(37,85),(38,73),(38,85),(39,74),(39,86),(40,75),(40,86),(41,76),(41,86),(42,77),(42,86),(43,78),(43,87),(44,79),(44,87),(45,80),(45,87),(46,81),(46,87),(47,70),(47,74),(47,78),(48,70),(48,75),(48,79),(49,71),(49,74),(49,80),(50,71),(50,75),(50,81),(51,72),(51,76),(51,78),(52,72),(52,77),(52,79),(53,73),(53,76),(53,80),(54,73),(54,77),(54,81),(55,58),(55,59),(55,62),(55,63),(55,84),(56,60),(56,61),(56,64),(56,65),(56,83),(57,66),(57,67),(57,68),(57,69),(57,82),(58,70),(58,71),(58,86),(59,72),(59,73),(59,86),(60,74),(60,75),(60,85),(61,76),(61,77),(61,85),(62,70),(62,72),(62,87),(63,71),(63,73),(63,87),(64,74),(64,76),(64,87),(65,75),(65,77),(65,87),(66,78),(66,79),(66,85),(67,80),(67,81),(67,85),(68,78),(68,80),(68,86),(69,79),(69,81),(69,86),(70,88),(71,88),(72,88),(73,88),(74,88),(75,88),(76,88),(77,88),(78,88),(79,88),(80,88),(81,88),(82,85),(82,86),(83,85),(83,87),(84,86),(84,87),(85,88),(86,88),(87,88)],89)=>21 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,11),(1,20),(1,21),(1,22),(1,23),(1,33),(1,61),(2,10),(2,16),(2,17),(2,18),(2,19),(2,32),(2,61),(3,13),(3,17),(3,21),(3,26),(3,27),(3,29),(3,60),(4,12),(4,16),(4,20),(4,24),(4,25),(4,28),(4,60),(5,15),(5,19),(5,23),(5,25),(5,27),(5,31),(5,59),(6,14),(6,18),(6,22),(6,24),(6,26),(6,30),(6,59),(7,28),(7,29),(7,30),(7,31),(7,32),(7,33),(7,58),(8,12),(8,13),(8,14),(8,15),(8,58),(8,61),(9,10),(9,11),(9,58),(9,59),(9,60),(10,70),(10,71),(10,84),(11,72),(11,73),(11,84),(12,34),(12,35),(12,74),(12,82),(13,36),(13,37),(13,75),(13,82),(14,34),(14,36),(14,76),(14,83),(15,35),(15,37),(15,77),(15,83),(16,38),(16,39),(16,46),(16,70),(16,74),(17,40),(17,41),(17,47),(17,70),(17,75),(18,38),(18,40),(18,48),(18,71),(18,76),(19,39),(19,41),(19,49),(19,71),(19,77),(20,42),(20,43),(20,50),(20,72),(20,74),(21,44),(21,45),(21,51),(21,72),(21,75),(22,42),(22,44),(22,52),(22,73),(22,76),(23,43),(23,45),(23,53),(23,73),(23,77),(24,34),(24,38),(24,42),(24,54),(24,85),(25,35),(25,39),(25,43),(25,55),(25,85),(26,36),(26,40),(26,44),(26,56),(26,85),(27,37),(27,41),(27,45),(27,57),(27,85),(28,46),(28,50),(28,54),(28,55),(28,82),(29,47),(29,51),(29,56),(29,57),(29,82),(30,48),(30,52),(30,54),(30,56),(30,83),(31,49),(31,53),(31,55),(31,57),(31,83),(32,46),(32,47),(32,48),(32,49),(32,84),(33,50),(33,51),(33,52),(33,53),(33,84),(34,78),(34,90),(35,79),(35,90),(36,80),(36,90),(37,81),(37,90),(38,62),(38,78),(38,86),(39,63),(39,79),(39,86),(40,64),(40,80),(40,86),(41,65),(41,81),(41,86),(42,66),(42,78),(42,87),(43,67),(43,79),(43,87),(44,68),(44,80),(44,87),(45,69),(45,81),(45,87),(46,62),(46,63),(46,88),(47,64),(47,65),(47,88),(48,62),(48,64),(48,89),(49,63),(49,65),(49,89),(50,66),(50,67),(50,88),(51,68),(51,69),(51,88),(52,66),(52,68),(52,89),(53,67),(53,69),(53,89),(54,62),(54,66),(54,90),(55,63),(55,67),(55,90),(56,64),(56,68),(56,90),(57,65),(57,69),(57,90),(58,82),(58,83),(58,84),(59,71),(59,73),(59,83),(59,85),(60,70),(60,72),(60,82),(60,85),(61,74),(61,75),(61,76),(61,77),(61,84),(62,91),(63,91),(64,91),(65,91),(66,91),(67,91),(68,91),(69,91),(70,86),(70,88),(71,86),(71,89),(72,87),(72,88),(73,87),(73,89),(74,78),(74,79),(74,88),(75,80),(75,81),(75,88),(76,78),(76,80),(76,89),(77,79),(77,81),(77,89),(78,91),(79,91),(80,91),(81,91),(82,88),(82,90),(83,89),(83,90),(84,88),(84,89),(85,86),(85,87),(85,90),(86,91),(87,91),(88,91),(89,91),(90,91)],92)=>22 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,17),(1,18),(1,19),(1,29),(1,30),(1,31),(1,32),(1,33),(1,34),(2,15),(2,16),(2,22),(2,28),(2,31),(2,55),(2,56),(3,12),(3,14),(3,21),(3,27),(3,30),(3,54),(3,56),(4,11),(4,13),(4,20),(4,26),(4,29),(4,54),(4,55),(5,13),(5,14),(5,25),(5,28),(5,32),(5,57),(5,58),(6,11),(6,15),(6,23),(6,27),(6,33),(6,57),(6,59),(7,12),(7,16),(7,24),(7,26),(7,34),(7,58),(7,59),(8,17),(8,20),(8,24),(8,41),(8,56),(8,57),(9,18),(9,21),(9,23),(9,41),(9,55),(9,58),(10,19),(10,22),(10,25),(10,41),(10,54),(10,59),(11,35),(11,70),(11,74),(11,82),(12,36),(12,71),(12,75),(12,82),(13,37),(13,70),(13,73),(13,83),(14,38),(14,71),(14,73),(14,84),(15,39),(15,72),(15,74),(15,84),(16,40),(16,72),(16,75),(16,83),(17,45),(17,49),(17,63),(17,66),(17,67),(18,46),(18,48),(18,63),(18,65),(18,68),(19,47),(19,50),(19,63),(19,64),(19,69),(20,45),(20,51),(20,70),(20,89),(21,46),(21,52),(21,71),(21,89),(22,47),(22,53),(22,72),(22,89),(23,48),(23,52),(23,74),(23,88),(24,49),(24,51),(24,75),(24,88),(25,50),(25,53),(25,73),(25,88),(26,42),(26,51),(26,82),(26,83),(27,43),(27,52),(27,82),(27,84),(28,44),(28,53),(28,83),(28,84),(29,35),(29,37),(29,42),(29,45),(29,64),(29,65),(30,36),(30,38),(30,43),(30,46),(30,64),(30,66),(31,39),(31,40),(31,44),(31,47),(31,65),(31,66),(32,37),(32,38),(32,44),(32,50),(32,67),(32,68),(33,35),(33,39),(33,43),(33,48),(33,67),(33,69),(34,36),(34,40),(34,42),(34,49),(34,68),(34,69),(35,76),(35,80),(35,85),(36,77),(36,81),(36,85),(37,76),(37,79),(37,86),(38,77),(38,79),(38,87),(39,78),(39,80),(39,87),(40,78),(40,81),(40,86),(41,63),(41,88),(41,89),(42,60),(42,85),(42,86),(43,61),(43,85),(43,87),(44,62),(44,86),(44,87),(45,60),(45,76),(45,90),(46,61),(46,77),(46,90),(47,62),(47,78),(47,90),(48,61),(48,80),(48,91),(49,60),(49,81),(49,91),(50,62),(50,79),(50,91),(51,60),(51,92),(52,61),(52,92),(53,62),(53,92),(54,64),(54,73),(54,82),(54,89),(55,65),(55,74),(55,83),(55,89),(56,66),(56,75),(56,84),(56,89),(57,67),(57,70),(57,84),(57,88),(58,68),(58,71),(58,83),(58,88),(59,69),(59,72),(59,82),(59,88),(60,93),(61,93),(62,93),(63,90),(63,91),(64,79),(64,85),(64,90),(65,80),(65,86),(65,90),(66,81),(66,87),(66,90),(67,76),(67,87),(67,91),(68,77),(68,86),(68,91),(69,78),(69,85),(69,91),(70,76),(70,92),(71,77),(71,92),(72,78),(72,92),(73,79),(73,92),(74,80),(74,92),(75,81),(75,92),(76,93),(77,93),(78,93),(79,93),(80,93),(81,93),(82,85),(82,92),(83,86),(83,92),(84,87),(84,92),(85,93),(86,93),(87,93),(88,91),(88,92),(89,90),(89,92),(90,93),(91,93),(92,93)],94)=>40 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(1,14),(1,19),(1,24),(1,25),(1,26),(1,27),(2,10),(2,16),(2,23),(2,25),(2,28),(2,32),(2,33),(3,9),(3,15),(3,22),(3,24),(3,28),(3,30),(3,31),(4,12),(4,18),(4,21),(4,27),(4,29),(4,31),(4,33),(5,11),(5,17),(5,20),(5,26),(5,29),(5,30),(5,32),(6,11),(6,12),(6,14),(6,22),(6,23),(6,34),(7,9),(7,10),(7,13),(7,20),(7,21),(7,34),(8,15),(8,16),(8,17),(8,18),(8,19),(8,34),(9,47),(9,48),(9,76),(9,84),(10,49),(10,50),(10,77),(10,84),(11,51),(11,53),(11,78),(11,85),(12,52),(12,54),(12,79),(12,85),(13,43),(13,44),(13,75),(13,84),(14,45),(14,46),(14,75),(14,85),(15,55),(15,57),(15,58),(15,61),(15,76),(16,55),(16,59),(16,60),(16,62),(16,77),(17,56),(17,57),(17,59),(17,63),(17,78),(18,56),(18,58),(18,60),(18,64),(18,79),(19,61),(19,62),(19,63),(19,64),(19,75),(20,43),(20,47),(20,49),(20,65),(20,78),(21,44),(21,48),(21,50),(21,65),(21,79),(22,45),(22,51),(22,52),(22,66),(22,76),(23,46),(23,53),(23,54),(23,66),(23,77),(24,39),(24,40),(24,45),(24,61),(24,84),(25,41),(25,42),(25,46),(25,62),(25,84),(26,39),(26,41),(26,43),(26,63),(26,85),(27,40),(27,42),(27,44),(27,64),(27,85),(28,37),(28,38),(28,55),(28,66),(28,84),(29,35),(29,36),(29,56),(29,65),(29,85),(30,35),(30,37),(30,39),(30,47),(30,51),(30,57),(31,35),(31,38),(31,40),(31,48),(31,52),(31,58),(32,36),(32,37),(32,41),(32,49),(32,53),(32,59),(33,36),(33,38),(33,42),(33,50),(33,54),(33,60),(34,75),(34,76),(34,77),(34,78),(34,79),(35,71),(35,88),(35,90),(36,72),(36,89),(36,90),(37,73),(37,86),(37,90),(38,74),(38,87),(38,90),(39,67),(39,86),(39,88),(40,68),(40,87),(40,88),(41,69),(41,86),(41,89),(42,70),(42,87),(42,89),(43,86),(43,92),(44,87),(44,92),(45,88),(45,91),(46,89),(46,91),(47,71),(47,80),(47,86),(48,71),(48,81),(48,87),(49,72),(49,82),(49,86),(50,72),(50,83),(50,87),(51,73),(51,80),(51,88),(52,74),(52,81),(52,88),(53,73),(53,82),(53,89),(54,74),(54,83),(54,89),(55,90),(55,91),(56,90),(56,92),(57,67),(57,80),(57,90),(58,68),(58,81),(58,90),(59,69),(59,82),(59,90),(60,70),(60,83),(60,90),(61,67),(61,68),(61,91),(62,69),(62,70),(62,91),(63,67),(63,69),(63,92),(64,68),(64,70),(64,92),(65,71),(65,72),(65,92),(66,73),(66,74),(66,91),(67,93),(68,93),(69,93),(70,93),(71,93),(72,93),(73,93),(74,93),(75,91),(75,92),(76,80),(76,81),(76,91),(77,82),(77,83),(77,91),(78,80),(78,82),(78,92),(79,81),(79,83),(79,92),(80,93),(81,93),(82,93),(83,93),(84,86),(84,87),(84,91),(85,88),(85,89),(85,92),(86,93),(87,93),(88,93),(89,93),(90,93),(91,93),(92,93)],94)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,12),(1,15),(1,18),(1,21),(1,24),(1,27),(1,32),(1,33),(2,11),(2,14),(2,17),(2,20),(2,23),(2,26),(2,31),(2,33),(3,10),(3,13),(3,16),(3,19),(3,22),(3,25),(3,31),(3,32),(4,10),(4,11),(4,12),(4,30),(4,60),(4,61),(5,16),(5,17),(5,18),(5,29),(5,59),(5,61),(6,13),(6,14),(6,15),(6,29),(6,58),(6,60),(7,22),(7,23),(7,24),(7,28),(7,58),(7,61),(8,19),(8,20),(8,21),(8,28),(8,59),(8,60),(9,25),(9,26),(9,27),(9,30),(9,58),(9,59),(10,34),(10,68),(10,71),(10,86),(11,35),(11,69),(11,72),(11,86),(12,36),(12,70),(12,73),(12,86),(13,40),(13,41),(13,52),(13,68),(13,74),(14,40),(14,42),(14,53),(14,69),(14,75),(15,41),(15,42),(15,54),(15,70),(15,76),(16,43),(16,44),(16,52),(16,71),(16,77),(17,43),(17,45),(17,53),(17,72),(17,78),(18,44),(18,45),(18,54),(18,73),(18,79),(19,49),(19,50),(19,55),(19,68),(19,77),(20,49),(20,51),(20,56),(20,69),(20,78),(21,50),(21,51),(21,57),(21,70),(21,79),(22,46),(22,47),(22,55),(22,71),(22,74),(23,46),(23,48),(23,56),(23,72),(23,75),(24,47),(24,48),(24,57),(24,73),(24,76),(25,34),(25,37),(25,38),(25,74),(25,77),(26,35),(26,37),(26,39),(26,75),(26,78),(27,36),(27,38),(27,39),(27,76),(27,79),(28,55),(28,56),(28,57),(28,87),(29,52),(29,53),(29,54),(29,87),(30,34),(30,35),(30,36),(30,87),(31,37),(31,40),(31,43),(31,46),(31,49),(31,86),(32,38),(32,41),(32,44),(32,47),(32,50),(32,86),(33,39),(33,42),(33,45),(33,48),(33,51),(33,86),(34,88),(34,89),(35,88),(35,90),(36,88),(36,91),(37,82),(37,85),(37,88),(38,80),(38,83),(38,88),(39,81),(39,84),(39,88),(40,64),(40,82),(40,92),(41,62),(41,80),(41,92),(42,63),(42,81),(42,92),(43,64),(43,85),(43,93),(44,62),(44,83),(44,93),(45,63),(45,84),(45,93),(46,67),(46,82),(46,93),(47,65),(47,80),(47,93),(48,66),(48,81),(48,93),(49,67),(49,85),(49,92),(50,65),(50,83),(50,92),(51,66),(51,84),(51,92),(52,62),(52,64),(52,89),(53,63),(53,64),(53,90),(54,62),(54,63),(54,91),(55,65),(55,67),(55,89),(56,66),(56,67),(56,90),(57,65),(57,66),(57,91),(58,74),(58,75),(58,76),(58,87),(59,77),(59,78),(59,79),(59,87),(60,68),(60,69),(60,70),(60,87),(61,71),(61,72),(61,73),(61,87),(62,94),(63,94),(64,94),(65,94),(66,94),(67,94),(68,89),(68,92),(69,90),(69,92),(70,91),(70,92),(71,89),(71,93),(72,90),(72,93),(73,91),(73,93),(74,80),(74,82),(74,89),(75,81),(75,82),(75,90),(76,80),(76,81),(76,91),(77,83),(77,85),(77,89),(78,84),(78,85),(78,90),(79,83),(79,84),(79,91),(80,94),(81,94),(82,94),(83,94),(84,94),(85,94),(86,88),(86,92),(86,93),(87,89),(87,90),(87,91),(88,94),(89,94),(90,94),(91,94),(92,94),(93,94)],95)=>19 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(1,14),(1,18),(1,23),(1,24),(1,26),(1,32),(2,12),(2,13),(2,17),(2,21),(2,22),(2,25),(2,31),(3,11),(3,16),(3,20),(3,22),(3,24),(3,28),(3,34),(4,11),(4,15),(4,19),(4,21),(4,23),(4,27),(4,33),(5,10),(5,17),(5,18),(5,19),(5,20),(5,30),(5,36),(6,10),(6,13),(6,14),(6,15),(6,16),(6,29),(6,35),(7,9),(7,31),(7,32),(7,33),(7,34),(7,35),(7,36),(8,9),(8,25),(8,26),(8,27),(8,28),(8,29),(8,30),(9,88),(9,89),(9,90),(10,86),(10,87),(10,90),(11,85),(11,87),(11,89),(12,85),(12,86),(12,88),(13,37),(13,49),(13,61),(13,62),(13,86),(14,38),(14,50),(14,63),(14,64),(14,86),(15,39),(15,51),(15,61),(15,63),(15,87),(16,40),(16,52),(16,62),(16,64),(16,87),(17,41),(17,53),(17,65),(17,66),(17,86),(18,42),(18,54),(18,67),(18,68),(18,86),(19,43),(19,55),(19,65),(19,67),(19,87),(20,44),(20,56),(20,66),(20,68),(20,87),(21,45),(21,57),(21,61),(21,65),(21,85),(22,46),(22,58),(22,62),(22,66),(22,85),(23,47),(23,59),(23,63),(23,67),(23,85),(24,48),(24,60),(24,64),(24,68),(24,85),(25,37),(25,41),(25,45),(25,46),(25,88),(26,38),(26,42),(26,47),(26,48),(26,88),(27,39),(27,43),(27,45),(27,47),(27,89),(28,40),(28,44),(28,46),(28,48),(28,89),(29,37),(29,38),(29,39),(29,40),(29,90),(30,41),(30,42),(30,43),(30,44),(30,90),(31,49),(31,53),(31,57),(31,58),(31,88),(32,50),(32,54),(32,59),(32,60),(32,88),(33,51),(33,55),(33,57),(33,59),(33,89),(34,52),(34,56),(34,58),(34,60),(34,89),(35,49),(35,50),(35,51),(35,52),(35,90),(36,53),(36,54),(36,55),(36,56),(36,90),(37,69),(37,70),(37,92),(38,71),(38,72),(38,92),(39,69),(39,71),(39,93),(40,70),(40,72),(40,93),(41,73),(41,74),(41,92),(42,75),(42,76),(42,92),(43,73),(43,75),(43,93),(44,74),(44,76),(44,93),(45,69),(45,73),(45,94),(46,70),(46,74),(46,94),(47,71),(47,75),(47,94),(48,72),(48,76),(48,94),(49,77),(49,78),(49,92),(50,79),(50,80),(50,92),(51,77),(51,79),(51,93),(52,78),(52,80),(52,93),(53,81),(53,82),(53,92),(54,83),(54,84),(54,92),(55,81),(55,83),(55,93),(56,82),(56,84),(56,93),(57,77),(57,81),(57,94),(58,78),(58,82),(58,94),(59,79),(59,83),(59,94),(60,80),(60,84),(60,94),(61,69),(61,77),(61,91),(62,70),(62,78),(62,91),(63,71),(63,79),(63,91),(64,72),(64,80),(64,91),(65,73),(65,81),(65,91),(66,74),(66,82),(66,91),(67,75),(67,83),(67,91),(68,76),(68,84),(68,91),(69,95),(70,95),(71,95),(72,95),(73,95),(74,95),(75,95),(76,95),(77,95),(78,95),(79,95),(80,95),(81,95),(82,95),(83,95),(84,95),(85,91),(85,94),(86,91),(86,92),(87,91),(87,93),(88,92),(88,94),(89,93),(89,94),(90,92),(90,93),(91,95),(92,95),(93,95),(94,95)],96)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,11),(1,15),(1,20),(1,21),(1,23),(1,29),(1,69),(2,10),(2,14),(2,18),(2,19),(2,22),(2,28),(2,69),(3,13),(3,17),(3,19),(3,21),(3,25),(3,31),(3,68),(4,12),(4,16),(4,18),(4,20),(4,24),(4,30),(4,68),(5,14),(5,15),(5,16),(5,17),(5,27),(5,33),(5,67),(6,10),(6,11),(6,12),(6,13),(6,26),(6,32),(6,67),(7,28),(7,29),(7,30),(7,31),(7,32),(7,33),(7,66),(8,22),(8,23),(8,24),(8,25),(8,26),(8,27),(8,66),(9,66),(9,67),(9,68),(9,69),(10,34),(10,46),(10,58),(10,59),(10,87),(11,35),(11,47),(11,60),(11,61),(11,87),(12,36),(12,48),(12,58),(12,60),(12,88),(13,37),(13,49),(13,59),(13,61),(13,88),(14,38),(14,50),(14,62),(14,63),(14,87),(15,39),(15,51),(15,64),(15,65),(15,87),(16,40),(16,52),(16,62),(16,64),(16,88),(17,41),(17,53),(17,63),(17,65),(17,88),(18,42),(18,54),(18,58),(18,62),(18,86),(19,43),(19,55),(19,59),(19,63),(19,86),(20,44),(20,56),(20,60),(20,64),(20,86),(21,45),(21,57),(21,61),(21,65),(21,86),(22,34),(22,38),(22,42),(22,43),(22,89),(23,35),(23,39),(23,44),(23,45),(23,89),(24,36),(24,40),(24,42),(24,44),(24,90),(25,37),(25,41),(25,43),(25,45),(25,90),(26,34),(26,35),(26,36),(26,37),(26,91),(27,38),(27,39),(27,40),(27,41),(27,91),(28,46),(28,50),(28,54),(28,55),(28,89),(29,47),(29,51),(29,56),(29,57),(29,89),(30,48),(30,52),(30,54),(30,56),(30,90),(31,49),(31,53),(31,55),(31,57),(31,90),(32,46),(32,47),(32,48),(32,49),(32,91),(33,50),(33,51),(33,52),(33,53),(33,91),(34,70),(34,71),(34,93),(35,72),(35,73),(35,93),(36,70),(36,72),(36,94),(37,71),(37,73),(37,94),(38,74),(38,75),(38,93),(39,76),(39,77),(39,93),(40,74),(40,76),(40,94),(41,75),(41,77),(41,94),(42,70),(42,74),(42,95),(43,71),(43,75),(43,95),(44,72),(44,76),(44,95),(45,73),(45,77),(45,95),(46,78),(46,79),(46,93),(47,80),(47,81),(47,93),(48,78),(48,80),(48,94),(49,79),(49,81),(49,94),(50,82),(50,83),(50,93),(51,84),(51,85),(51,93),(52,82),(52,84),(52,94),(53,83),(53,85),(53,94),(54,78),(54,82),(54,95),(55,79),(55,83),(55,95),(56,80),(56,84),(56,95),(57,81),(57,85),(57,95),(58,70),(58,78),(58,92),(59,71),(59,79),(59,92),(60,72),(60,80),(60,92),(61,73),(61,81),(61,92),(62,74),(62,82),(62,92),(63,75),(63,83),(63,92),(64,76),(64,84),(64,92),(65,77),(65,85),(65,92),(66,89),(66,90),(66,91),(67,87),(67,88),(67,91),(68,86),(68,88),(68,90),(69,86),(69,87),(69,89),(70,96),(71,96),(72,96),(73,96),(74,96),(75,96),(76,96),(77,96),(78,96),(79,96),(80,96),(81,96),(82,96),(83,96),(84,96),(85,96),(86,92),(86,95),(87,92),(87,93),(88,92),(88,94),(89,93),(89,95),(90,94),(90,95),(91,93),(91,94),(92,96),(93,96),(94,96),(95,96)],97)=>25 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(1,21),(1,22),(1,23),(1,24),(1,35),(1,36),(2,14),(2,17),(2,18),(2,19),(2,20),(2,33),(2,34),(3,13),(3,29),(3,30),(3,31),(3,32),(3,34),(3,36),(4,13),(4,25),(4,26),(4,27),(4,28),(4,33),(4,35),(5,10),(5,12),(5,16),(5,18),(5,22),(5,26),(5,30),(6,10),(6,11),(6,15),(6,17),(6,21),(6,25),(6,29),(7,9),(7,11),(7,16),(7,19),(7,23),(7,27),(7,31),(8,9),(8,12),(8,15),(8,20),(8,24),(8,28),(8,32),(9,42),(9,44),(9,82),(9,84),(10,41),(10,43),(10,82),(10,83),(11,45),(11,47),(11,82),(11,85),(12,46),(12,48),(12,82),(12,86),(13,39),(13,40),(13,85),(13,86),(14,37),(14,38),(14,83),(14,84),(15,65),(15,67),(15,69),(15,71),(15,82),(16,66),(16,68),(16,70),(16,72),(16,82),(17,45),(17,49),(17,53),(17,65),(17,83),(18,46),(18,50),(18,54),(18,66),(18,83),(19,45),(19,51),(19,55),(19,66),(19,84),(20,46),(20,52),(20,56),(20,65),(20,84),(21,47),(21,57),(21,61),(21,67),(21,83),(22,48),(22,58),(22,62),(22,68),(22,83),(23,47),(23,59),(23,63),(23,68),(23,84),(24,48),(24,60),(24,64),(24,67),(24,84),(25,41),(25,49),(25,57),(25,69),(25,85),(26,41),(26,50),(26,58),(26,70),(26,86),(27,42),(27,51),(27,59),(27,70),(27,85),(28,42),(28,52),(28,60),(28,69),(28,86),(29,43),(29,53),(29,61),(29,71),(29,85),(30,43),(30,54),(30,62),(30,72),(30,86),(31,44),(31,55),(31,63),(31,72),(31,85),(32,44),(32,56),(32,64),(32,71),(32,86),(33,37),(33,39),(33,49),(33,50),(33,51),(33,52),(34,38),(34,39),(34,53),(34,54),(34,55),(34,56),(35,37),(35,40),(35,57),(35,58),(35,59),(35,60),(36,38),(36,40),(36,61),(36,62),(36,63),(36,64),(37,81),(37,87),(37,88),(38,81),(38,89),(38,90),(39,81),(39,91),(39,92),(40,81),(40,93),(40,94),(41,87),(41,96),(42,88),(42,96),(43,89),(43,96),(44,90),(44,96),(45,91),(45,95),(46,92),(46,95),(47,93),(47,95),(48,94),(48,95),(49,73),(49,87),(49,91),(50,74),(50,87),(50,92),(51,74),(51,88),(51,91),(52,73),(52,88),(52,92),(53,75),(53,89),(53,91),(54,76),(54,89),(54,92),(55,76),(55,90),(55,91),(56,75),(56,90),(56,92),(57,77),(57,87),(57,93),(58,78),(58,87),(58,94),(59,78),(59,88),(59,93),(60,77),(60,88),(60,94),(61,79),(61,89),(61,93),(62,80),(62,89),(62,94),(63,80),(63,90),(63,93),(64,79),(64,90),(64,94),(65,73),(65,75),(65,95),(66,74),(66,76),(66,95),(67,77),(67,79),(67,95),(68,78),(68,80),(68,95),(69,73),(69,77),(69,96),(70,74),(70,78),(70,96),(71,75),(71,79),(71,96),(72,76),(72,80),(72,96),(73,97),(74,97),(75,97),(76,97),(77,97),(78,97),(79,97),(80,97),(81,97),(82,95),(82,96),(83,87),(83,89),(83,95),(84,88),(84,90),(84,95),(85,91),(85,93),(85,96),(86,92),(86,94),(86,96),(87,97),(88,97),(89,97),(90,97),(91,97),(92,97),(93,97),(94,97),(95,97),(96,97)],98)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,10),(1,12),(1,13),(1,14),(1,60),(1,61),(2,16),(2,22),(2,26),(2,28),(2,32),(2,36),(2,61),(3,15),(3,21),(3,26),(3,27),(3,31),(3,35),(3,60),(4,17),(4,23),(4,25),(4,29),(4,33),(4,35),(4,61),(5,18),(5,24),(5,25),(5,30),(5,34),(5,36),(5,60),(6,11),(6,12),(6,21),(6,22),(6,23),(6,24),(6,62),(7,14),(7,20),(7,31),(7,32),(7,33),(7,34),(7,62),(8,13),(8,19),(8,27),(8,28),(8,29),(8,30),(8,62),(9,10),(9,11),(9,15),(9,16),(9,17),(9,18),(9,19),(9,20),(10,45),(10,58),(10,59),(10,75),(10,76),(11,45),(11,70),(11,88),(11,89),(12,45),(12,63),(12,64),(12,65),(13,58),(13,65),(13,71),(13,72),(14,59),(14,65),(14,73),(14,74),(15,37),(15,46),(15,50),(15,75),(15,88),(16,38),(16,47),(16,51),(16,76),(16,88),(17,37),(17,48),(17,52),(17,76),(17,89),(18,38),(18,49),(18,53),(18,75),(18,89),(19,46),(19,47),(19,48),(19,49),(19,58),(19,70),(20,50),(20,51),(20,52),(20,53),(20,59),(20,70),(21,43),(21,63),(21,66),(21,88),(22,44),(22,64),(22,67),(22,88),(23,43),(23,64),(23,68),(23,89),(24,44),(24,63),(24,69),(24,89),(25,40),(25,42),(25,89),(25,90),(26,39),(26,41),(26,88),(26,90),(27,39),(27,46),(27,54),(27,66),(27,71),(28,39),(28,47),(28,55),(28,67),(28,72),(29,40),(29,48),(29,54),(29,68),(29,72),(30,40),(30,49),(30,55),(30,69),(30,71),(31,41),(31,50),(31,56),(31,66),(31,73),(32,41),(32,51),(32,57),(32,67),(32,74),(33,42),(33,52),(33,56),(33,68),(33,74),(34,42),(34,53),(34,57),(34,69),(34,73),(35,37),(35,43),(35,54),(35,56),(35,90),(36,38),(36,44),(36,55),(36,57),(36,90),(37,77),(37,79),(37,97),(38,78),(38,80),(38,97),(39,93),(39,95),(40,93),(40,96),(41,94),(41,95),(42,94),(42,96),(43,81),(43,97),(44,82),(44,97),(45,87),(45,97),(46,77),(46,83),(46,95),(47,78),(47,84),(47,95),(48,77),(48,84),(48,96),(49,78),(49,83),(49,96),(50,79),(50,85),(50,95),(51,80),(51,86),(51,95),(52,79),(52,86),(52,96),(53,80),(53,85),(53,96),(54,77),(54,81),(54,93),(55,78),(55,82),(55,93),(56,79),(56,81),(56,94),(57,80),(57,82),(57,94),(58,83),(58,84),(58,87),(59,85),(59,86),(59,87),(60,63),(60,71),(60,73),(60,75),(60,90),(61,64),(61,72),(61,74),(61,76),(61,90),(62,65),(62,66),(62,67),(62,68),(62,69),(62,70),(63,91),(63,97),(64,92),(64,97),(65,87),(65,91),(65,92),(66,81),(66,91),(66,95),(67,82),(67,92),(67,95),(68,81),(68,92),(68,96),(69,82),(69,91),(69,96),(70,87),(70,95),(70,96),(71,83),(71,91),(71,93),(72,84),(72,92),(72,93),(73,85),(73,91),(73,94),(74,86),(74,92),(74,94),(75,83),(75,85),(75,97),(76,84),(76,86),(76,97),(77,98),(78,98),(79,98),(80,98),(81,98),(82,98),(83,98),(84,98),(85,98),(86,98),(87,98),(88,95),(88,97),(89,96),(89,97),(90,93),(90,94),(90,97),(91,98),(92,98),(93,98),(94,98),(95,98),(96,98),(97,98)],99)=>15 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,24),(1,25),(1,26),(1,27),(1,28),(1,29),(1,30),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(2,30),(3,15),(3,16),(3,17),(3,20),(3,26),(3,56),(4,12),(4,13),(4,14),(4,19),(4,25),(4,56),(5,9),(5,10),(5,11),(5,18),(5,24),(5,56),(6,11),(6,14),(6,17),(6,23),(6,29),(6,55),(7,10),(7,13),(7,16),(7,22),(7,28),(7,55),(8,9),(8,12),(8,15),(8,21),(8,27),(8,55),(9,31),(9,40),(9,66),(9,69),(10,32),(10,41),(10,67),(10,69),(11,33),(11,42),(11,68),(11,69),(12,34),(12,43),(12,66),(12,70),(13,35),(13,44),(13,67),(13,70),(14,36),(14,45),(14,68),(14,70),(15,37),(15,46),(15,66),(15,71),(16,38),(16,47),(16,67),(16,71),(17,39),(17,48),(17,68),(17,71),(18,31),(18,32),(18,33),(18,49),(18,72),(19,34),(19,35),(19,36),(19,50),(19,72),(20,37),(20,38),(20,39),(20,51),(20,72),(21,31),(21,34),(21,37),(21,52),(21,73),(22,32),(22,35),(22,38),(22,53),(22,73),(23,33),(23,36),(23,39),(23,54),(23,73),(24,40),(24,41),(24,42),(24,49),(24,74),(25,43),(25,44),(25,45),(25,50),(25,74),(26,46),(26,47),(26,48),(26,51),(26,74),(27,40),(27,43),(27,46),(27,52),(27,75),(28,41),(28,44),(28,47),(28,53),(28,75),(29,42),(29,45),(29,48),(29,54),(29,75),(30,49),(30,50),(30,51),(30,52),(30,53),(30,54),(31,57),(31,78),(31,81),(32,58),(32,79),(32,81),(33,59),(33,80),(33,81),(34,60),(34,78),(34,82),(35,61),(35,79),(35,82),(36,62),(36,80),(36,82),(37,63),(37,78),(37,83),(38,64),(38,79),(38,83),(39,65),(39,80),(39,83),(40,57),(40,84),(40,87),(41,58),(41,85),(41,87),(42,59),(42,86),(42,87),(43,60),(43,84),(43,88),(44,61),(44,85),(44,88),(45,62),(45,86),(45,88),(46,63),(46,84),(46,89),(47,64),(47,85),(47,89),(48,65),(48,86),(48,89),(49,57),(49,58),(49,59),(49,76),(50,60),(50,61),(50,62),(50,76),(51,63),(51,64),(51,65),(51,76),(52,57),(52,60),(52,63),(52,77),(53,58),(53,61),(53,64),(53,77),(54,59),(54,62),(54,65),(54,77),(55,69),(55,70),(55,71),(55,73),(55,75),(56,66),(56,67),(56,68),(56,72),(56,74),(57,90),(57,93),(58,91),(58,93),(59,92),(59,93),(60,90),(60,94),(61,91),(61,94),(62,92),(62,94),(63,90),(63,95),(64,91),(64,95),(65,92),(65,95),(66,78),(66,84),(66,96),(67,79),(67,85),(67,96),(68,80),(68,86),(68,96),(69,81),(69,87),(69,96),(70,82),(70,88),(70,96),(71,83),(71,89),(71,96),(72,76),(72,78),(72,79),(72,80),(73,77),(73,81),(73,82),(73,83),(74,76),(74,84),(74,85),(74,86),(75,77),(75,87),(75,88),(75,89),(76,90),(76,91),(76,92),(77,93),(77,94),(77,95),(78,90),(78,97),(79,91),(79,97),(80,92),(80,97),(81,93),(81,97),(82,94),(82,97),(83,95),(83,97),(84,90),(84,98),(85,91),(85,98),(86,92),(86,98),(87,93),(87,98),(88,94),(88,98),(89,95),(89,98),(90,99),(91,99),(92,99),(93,99),(94,99),(95,99),(96,97),(96,98),(97,99),(98,99)],100)=>100 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,12),(1,18),(1,19),(1,21),(1,23),(1,25),(1,35),(1,36),(2,11),(2,17),(2,19),(2,20),(2,22),(2,24),(2,33),(2,34),(3,15),(3,27),(3,29),(3,31),(3,34),(3,36),(3,66),(4,14),(4,26),(4,28),(4,30),(4,33),(4,35),(4,66),(5,16),(5,24),(5,25),(5,30),(5,31),(5,32),(5,64),(6,13),(6,16),(6,20),(6,21),(6,28),(6,29),(6,65),(7,10),(7,22),(7,23),(7,26),(7,27),(7,32),(7,65),(8,14),(8,15),(8,17),(8,18),(8,64),(8,65),(9,10),(9,11),(9,12),(9,13),(9,64),(9,66),(10,76),(10,90),(10,91),(11,48),(11,74),(11,79),(11,91),(12,49),(12,75),(12,80),(12,91),(13,48),(13,49),(13,67),(13,90),(14,41),(14,43),(14,77),(14,89),(15,42),(15,44),(15,78),(15,89),(16,37),(16,38),(16,90),(16,92),(17,41),(17,42),(17,47),(17,79),(17,81),(18,43),(18,44),(18,47),(18,80),(18,82),(19,39),(19,40),(19,47),(19,91),(19,92),(20,48),(20,50),(20,51),(20,81),(20,92),(21,49),(21,52),(21,53),(21,82),(21,92),(22,58),(22,59),(22,62),(22,81),(22,91),(23,60),(23,61),(23,63),(23,82),(23,91),(24,54),(24,55),(24,62),(24,79),(24,92),(25,56),(25,57),(25,63),(25,80),(25,92),(26,45),(26,58),(26,60),(26,76),(26,77),(27,46),(27,59),(27,61),(27,76),(27,78),(28,37),(28,50),(28,52),(28,67),(28,77),(29,38),(29,51),(29,53),(29,67),(29,78),(30,37),(30,45),(30,54),(30,56),(30,89),(31,38),(31,46),(31,55),(31,57),(31,89),(32,45),(32,46),(32,62),(32,63),(32,90),(33,39),(33,41),(33,50),(33,54),(33,58),(33,74),(34,40),(34,42),(34,51),(34,55),(34,59),(34,74),(35,39),(35,43),(35,52),(35,56),(35,60),(35,75),(36,40),(36,44),(36,53),(36,57),(36,61),(36,75),(37,93),(37,98),(38,94),(38,98),(39,72),(39,93),(39,97),(40,73),(40,94),(40,97),(41,72),(41,83),(41,95),(42,73),(42,84),(42,95),(43,72),(43,85),(43,96),(44,73),(44,86),(44,96),(45,68),(45,70),(45,98),(46,69),(46,71),(46,98),(47,72),(47,73),(47,99),(48,87),(48,99),(49,88),(49,99),(50,83),(50,87),(50,93),(51,84),(51,87),(51,94),(52,85),(52,88),(52,93),(53,86),(53,88),(53,94),(54,68),(54,93),(54,95),(55,69),(55,94),(55,95),(56,70),(56,93),(56,96),(57,71),(57,94),(57,96),(58,68),(58,83),(58,97),(59,69),(59,84),(59,97),(60,70),(60,85),(60,97),(61,71),(61,86),(61,97),(62,68),(62,69),(62,99),(63,70),(63,71),(63,99),(64,79),(64,80),(64,89),(64,90),(65,77),(65,78),(65,81),(65,82),(65,90),(66,67),(66,74),(66,75),(66,76),(66,89),(67,87),(67,88),(67,98),(68,100),(69,100),(70,100),(71,100),(72,100),(73,100),(74,87),(74,95),(74,97),(75,88),(75,96),(75,97),(76,97),(76,98),(77,83),(77,85),(77,98),(78,84),(78,86),(78,98),(79,95),(79,99),(80,96),(80,99),(81,83),(81,84),(81,99),(82,85),(82,86),(82,99),(83,100),(84,100),(85,100),(86,100),(87,100),(88,100),(89,95),(89,96),(89,98),(90,98),(90,99),(91,97),(91,99),(92,93),(92,94),(92,99),(93,100),(94,100),(95,100),(96,100),(97,100),(98,100),(99,100)],101)=>16 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,11),(1,14),(1,19),(1,20),(1,21),(1,22),(1,35),(1,36),(2,10),(2,14),(2,15),(2,16),(2,17),(2,18),(2,33),(2,34),(3,13),(3,16),(3,20),(3,24),(3,26),(3,30),(3,70),(4,13),(4,15),(4,19),(4,23),(4,25),(4,29),(4,69),(5,12),(5,17),(5,21),(5,23),(5,27),(5,31),(5,70),(6,12),(6,18),(6,22),(6,24),(6,28),(6,32),(6,69),(7,29),(7,30),(7,31),(7,32),(7,34),(7,36),(7,68),(8,25),(8,26),(8,27),(8,28),(8,33),(8,35),(8,68),(9,10),(9,11),(9,68),(9,69),(9,70),(10,37),(10,79),(10,80),(10,83),(11,37),(11,81),(11,82),(11,84),(12,61),(12,63),(12,87),(12,88),(13,60),(13,62),(13,86),(13,88),(14,37),(14,38),(14,39),(14,86),(14,87),(15,40),(15,44),(15,56),(15,79),(15,86),(16,41),(16,45),(16,57),(16,80),(16,86),(17,42),(17,47),(17,56),(17,80),(17,87),(18,43),(18,46),(18,57),(18,79),(18,87),(19,48),(19,52),(19,58),(19,81),(19,86),(20,49),(20,53),(20,59),(20,82),(20,86),(21,50),(21,55),(21,58),(21,82),(21,87),(22,51),(22,54),(22,59),(22,81),(22,87),(23,56),(23,58),(23,64),(23,66),(23,88),(24,57),(24,59),(24,65),(24,67),(24,88),(25,40),(25,48),(25,60),(25,64),(25,89),(26,41),(26,49),(26,60),(26,65),(26,90),(27,42),(27,50),(27,61),(27,64),(27,90),(28,43),(28,51),(28,61),(28,65),(28,89),(29,44),(29,52),(29,62),(29,66),(29,89),(30,45),(30,53),(30,62),(30,67),(30,90),(31,47),(31,55),(31,63),(31,66),(31,90),(32,46),(32,54),(32,63),(32,67),(32,89),(33,38),(33,40),(33,41),(33,42),(33,43),(33,83),(34,39),(34,44),(34,45),(34,46),(34,47),(34,83),(35,38),(35,48),(35,49),(35,50),(35,51),(35,84),(36,39),(36,52),(36,53),(36,54),(36,55),(36,84),(37,85),(37,100),(38,85),(38,91),(38,92),(39,85),(39,93),(39,94),(40,71),(40,91),(40,95),(41,72),(41,91),(41,96),(42,71),(42,92),(42,96),(43,72),(43,92),(43,95),(44,73),(44,93),(44,95),(45,74),(45,93),(45,96),(46,74),(46,94),(46,95),(47,73),(47,94),(47,96),(48,75),(48,91),(48,97),(49,76),(49,91),(49,98),(50,75),(50,92),(50,98),(51,76),(51,92),(51,97),(52,77),(52,93),(52,97),(53,78),(53,93),(53,98),(54,78),(54,94),(54,97),(55,77),(55,94),(55,98),(56,71),(56,73),(56,100),(57,72),(57,74),(57,100),(58,75),(58,77),(58,100),(59,76),(59,78),(59,100),(60,91),(60,99),(61,92),(61,99),(62,93),(62,99),(63,94),(63,99),(64,71),(64,75),(64,99),(65,72),(65,76),(65,99),(66,73),(66,77),(66,99),(67,74),(67,78),(67,99),(68,83),(68,84),(68,89),(68,90),(69,79),(69,81),(69,88),(69,89),(70,80),(70,82),(70,88),(70,90),(71,101),(72,101),(73,101),(74,101),(75,101),(76,101),(77,101),(78,101),(79,95),(79,100),(80,96),(80,100),(81,97),(81,100),(82,98),(82,100),(83,85),(83,95),(83,96),(84,85),(84,97),(84,98),(85,101),(86,91),(86,93),(86,100),(87,92),(87,94),(87,100),(88,99),(88,100),(89,95),(89,97),(89,99),(90,96),(90,98),(90,99),(91,101),(92,101),(93,101),(94,101),(95,101),(96,101),(97,101),(98,101),(99,101),(100,101)],102)=>17 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,13),(1,24),(1,25),(1,31),(1,54),(1,55),(1,57),(2,12),(2,22),(2,23),(2,30),(2,52),(2,53),(2,57),(3,15),(3,27),(3,29),(3,33),(3,53),(3,55),(3,56),(4,14),(4,26),(4,28),(4,32),(4,52),(4,54),(4,56),(5,16),(5,22),(5,26),(5,35),(5,55),(5,58),(5,60),(6,17),(6,23),(6,27),(6,36),(6,54),(6,58),(6,61),(7,18),(7,24),(7,28),(7,36),(7,53),(7,59),(7,60),(8,19),(8,25),(8,29),(8,35),(8,52),(8,59),(8,61),(9,21),(9,32),(9,33),(9,34),(9,57),(9,60),(9,61),(10,20),(10,30),(10,31),(10,34),(10,56),(10,58),(10,59),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,37),(12,38),(12,45),(12,72),(12,73),(12,77),(13,39),(13,40),(13,46),(13,74),(13,75),(13,77),(14,41),(14,43),(14,47),(14,72),(14,74),(14,76),(15,42),(15,44),(15,48),(15,73),(15,75),(15,76),(16,37),(16,41),(16,49),(16,75),(16,78),(16,80),(17,38),(17,42),(17,50),(17,74),(17,78),(17,81),(18,39),(18,43),(18,50),(18,73),(18,79),(18,80),(19,40),(19,44),(19,49),(19,72),(19,79),(19,81),(20,45),(20,46),(20,51),(20,76),(20,78),(20,79),(21,47),(21,48),(21,51),(21,77),(21,80),(21,81),(22,37),(22,62),(22,66),(22,96),(23,38),(23,62),(23,67),(23,95),(24,39),(24,63),(24,68),(24,96),(25,40),(25,63),(25,69),(25,95),(26,41),(26,64),(26,66),(26,94),(27,42),(27,65),(27,67),(27,94),(28,43),(28,64),(28,68),(28,93),(29,44),(29,65),(29,69),(29,93),(30,45),(30,62),(30,70),(30,93),(31,46),(31,63),(31,70),(31,94),(32,47),(32,64),(32,71),(32,95),(33,48),(33,65),(33,71),(33,96),(34,51),(34,70),(34,71),(34,92),(35,49),(35,66),(35,69),(35,92),(36,50),(36,67),(36,68),(36,92),(37,82),(37,86),(37,100),(38,82),(38,87),(38,99),(39,83),(39,88),(39,100),(40,83),(40,89),(40,99),(41,84),(41,86),(41,98),(42,85),(42,87),(42,98),(43,84),(43,88),(43,97),(44,85),(44,89),(44,97),(45,82),(45,90),(45,97),(46,83),(46,90),(46,98),(47,84),(47,91),(47,99),(48,85),(48,91),(48,100),(49,86),(49,89),(49,101),(50,87),(50,88),(50,101),(51,90),(51,91),(51,101),(52,66),(52,72),(52,93),(52,95),(53,67),(53,73),(53,93),(53,96),(54,68),(54,74),(54,94),(54,95),(55,69),(55,75),(55,94),(55,96),(56,71),(56,76),(56,93),(56,94),(57,70),(57,77),(57,95),(57,96),(58,62),(58,78),(58,92),(58,94),(59,63),(59,79),(59,92),(59,93),(60,64),(60,80),(60,92),(60,96),(61,65),(61,81),(61,92),(61,95),(62,82),(62,102),(63,83),(63,102),(64,84),(64,102),(65,85),(65,102),(66,86),(66,102),(67,87),(67,102),(68,88),(68,102),(69,89),(69,102),(70,90),(70,102),(71,91),(71,102),(72,86),(72,97),(72,99),(73,87),(73,97),(73,100),(74,88),(74,98),(74,99),(75,89),(75,98),(75,100),(76,91),(76,97),(76,98),(77,90),(77,99),(77,100),(78,82),(78,98),(78,101),(79,83),(79,97),(79,101),(80,84),(80,100),(80,101),(81,85),(81,99),(81,101),(82,103),(83,103),(84,103),(85,103),(86,103),(87,103),(88,103),(89,103),(90,103),(91,103),(92,101),(92,102),(93,97),(93,102),(94,98),(94,102),(95,99),(95,102),(96,100),(96,102),(97,103),(98,103),(99,103),(100,103),(101,103),(102,103)],104)=>54 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(1,18),(1,21),(1,24),(1,27),(1,29),(1,30),(2,10),(2,17),(2,20),(2,23),(2,26),(2,28),(2,30),(3,9),(3,16),(3,19),(3,22),(3,25),(3,28),(3,29),(4,14),(4,15),(4,19),(4,20),(4,21),(4,60),(5,12),(5,13),(5,16),(5,17),(5,18),(5,60),(6,13),(6,15),(6,25),(6,26),(6,27),(6,59),(7,12),(7,14),(7,22),(7,23),(7,24),(7,59),(8,9),(8,10),(8,11),(8,59),(8,60),(9,31),(9,32),(9,78),(9,81),(10,31),(10,33),(10,79),(10,82),(11,32),(11,33),(11,80),(11,83),(12,35),(12,36),(12,37),(12,94),(13,38),(13,39),(13,40),(13,94),(14,41),(14,42),(14,43),(14,94),(15,44),(15,45),(15,46),(15,94),(16,35),(16,38),(16,47),(16,48),(16,78),(17,36),(17,39),(17,47),(17,49),(17,79),(18,37),(18,40),(18,48),(18,49),(18,80),(19,41),(19,44),(19,50),(19,51),(19,78),(20,42),(20,45),(20,50),(20,52),(20,79),(21,43),(21,46),(21,51),(21,52),(21,80),(22,35),(22,41),(22,53),(22,54),(22,81),(23,36),(23,42),(23,53),(23,55),(23,82),(24,37),(24,43),(24,54),(24,55),(24,83),(25,38),(25,44),(25,56),(25,57),(25,81),(26,39),(26,45),(26,56),(26,58),(26,82),(27,40),(27,46),(27,57),(27,58),(27,83),(28,31),(28,34),(28,47),(28,50),(28,53),(28,56),(29,32),(29,34),(29,48),(29,51),(29,54),(29,57),(30,33),(30,34),(30,49),(30,52),(30,55),(30,58),(31,77),(31,86),(31,89),(32,77),(32,84),(32,87),(33,77),(33,85),(33,88),(34,73),(34,74),(34,75),(34,76),(34,77),(35,61),(35,62),(35,97),(36,61),(36,63),(36,98),(37,62),(37,63),(37,99),(38,64),(38,65),(38,97),(39,64),(39,66),(39,98),(40,65),(40,66),(40,99),(41,67),(41,68),(41,97),(42,67),(42,69),(42,98),(43,68),(43,69),(43,99),(44,70),(44,71),(44,97),(45,70),(45,72),(45,98),(46,71),(46,72),(46,99),(47,61),(47,64),(47,73),(47,86),(48,62),(48,65),(48,73),(48,84),(49,63),(49,66),(49,73),(49,85),(50,67),(50,70),(50,74),(50,86),(51,68),(51,71),(51,74),(51,84),(52,69),(52,72),(52,74),(52,85),(53,61),(53,67),(53,75),(53,89),(54,62),(54,68),(54,75),(54,87),(55,63),(55,69),(55,75),(55,88),(56,64),(56,70),(56,76),(56,89),(57,65),(57,71),(57,76),(57,87),(58,66),(58,72),(58,76),(58,88),(59,81),(59,82),(59,83),(59,94),(60,78),(60,79),(60,80),(60,94),(61,90),(61,102),(62,90),(62,100),(63,90),(63,101),(64,91),(64,102),(65,91),(65,100),(66,91),(66,101),(67,92),(67,102),(68,92),(68,100),(69,92),(69,101),(70,93),(70,102),(71,93),(71,100),(72,93),(72,101),(73,90),(73,91),(73,95),(74,92),(74,93),(74,95),(75,90),(75,92),(75,96),(76,91),(76,93),(76,96),(77,95),(77,96),(78,84),(78,86),(78,97),(79,85),(79,86),(79,98),(80,84),(80,85),(80,99),(81,87),(81,89),(81,97),(82,88),(82,89),(82,98),(83,87),(83,88),(83,99),(84,95),(84,100),(85,95),(85,101),(86,95),(86,102),(87,96),(87,100),(88,96),(88,101),(89,96),(89,102),(90,103),(91,103),(92,103),(93,103),(94,97),(94,98),(94,99),(95,103),(96,103),(97,100),(97,102),(98,101),(98,102),(99,100),(99,101),(100,103),(101,103),(102,103)],104)=>72 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,11),(1,12),(1,15),(1,58),(1,60),(1,61),(2,15),(2,24),(2,25),(2,26),(2,31),(2,62),(2,63),(3,17),(3,21),(3,28),(3,33),(3,37),(3,61),(3,63),(4,16),(4,20),(4,27),(4,32),(4,37),(4,60),(4,62),(5,18),(5,22),(5,30),(5,34),(5,36),(5,60),(5,63),(6,19),(6,23),(6,29),(6,35),(6,36),(6,61),(6,62),(7,31),(7,32),(7,33),(7,34),(7,35),(7,58),(7,59),(8,13),(8,14),(8,26),(8,27),(8,28),(8,29),(8,30),(8,58),(9,12),(9,14),(9,20),(9,21),(9,22),(9,23),(9,25),(9,59),(10,11),(10,13),(10,16),(10,17),(10,18),(10,19),(10,24),(10,59),(11,40),(11,68),(11,69),(11,94),(12,41),(12,70),(12,71),(12,94),(13,44),(13,45),(13,46),(13,47),(13,56),(13,94),(14,48),(14,49),(14,50),(14,51),(14,57),(14,94),(15,40),(15,41),(15,65),(15,97),(16,44),(16,52),(16,68),(16,72),(16,76),(17,45),(17,52),(17,69),(17,73),(17,77),(18,47),(18,53),(18,68),(18,74),(18,77),(19,46),(19,53),(19,69),(19,75),(19,76),(20,48),(20,54),(20,70),(20,72),(20,78),(21,49),(21,54),(21,71),(21,73),(21,79),(22,50),(22,55),(22,70),(22,74),(22,79),(23,51),(23,55),(23,71),(23,75),(23,78),(24,40),(24,56),(24,64),(24,76),(24,77),(25,41),(25,57),(25,64),(25,78),(25,79),(26,56),(26,57),(26,65),(26,80),(26,81),(27,38),(27,44),(27,48),(27,80),(27,92),(28,38),(28,45),(28,49),(28,81),(28,93),(29,39),(29,46),(29,51),(29,80),(29,93),(30,39),(30,47),(30,50),(30,81),(30,92),(31,64),(31,65),(31,66),(31,67),(32,42),(32,66),(32,72),(32,92),(33,42),(33,67),(33,73),(33,93),(34,43),(34,67),(34,74),(34,92),(35,43),(35,66),(35,75),(35,93),(36,39),(36,43),(36,53),(36,55),(36,97),(37,38),(37,42),(37,52),(37,54),(37,97),(38,82),(38,84),(38,103),(39,83),(39,85),(39,103),(40,98),(40,99),(41,98),(41,100),(42,86),(42,103),(43,87),(43,103),(44,82),(44,88),(44,101),(45,82),(45,89),(45,102),(46,83),(46,88),(46,102),(47,83),(47,89),(47,101),(48,84),(48,90),(48,101),(49,84),(49,91),(49,102),(50,85),(50,91),(50,101),(51,85),(51,90),(51,102),(52,82),(52,86),(52,99),(53,83),(53,87),(53,99),(54,84),(54,86),(54,100),(55,85),(55,87),(55,100),(56,88),(56,89),(56,98),(57,90),(57,91),(57,98),(58,65),(58,92),(58,93),(58,94),(59,64),(59,72),(59,73),(59,74),(59,75),(59,94),(60,68),(60,70),(60,92),(60,97),(61,69),(61,71),(61,93),(61,97),(62,66),(62,76),(62,78),(62,80),(62,97),(63,67),(63,77),(63,79),(63,81),(63,97),(64,95),(64,96),(64,98),(65,98),(65,103),(66,95),(66,103),(67,96),(67,103),(68,99),(68,101),(69,99),(69,102),(70,100),(70,101),(71,100),(71,102),(72,86),(72,95),(72,101),(73,86),(73,96),(73,102),(74,87),(74,96),(74,101),(75,87),(75,95),(75,102),(76,88),(76,95),(76,99),(77,89),(77,96),(77,99),(78,90),(78,95),(78,100),(79,91),(79,96),(79,100),(80,88),(80,90),(80,103),(81,89),(81,91),(81,103),(82,104),(83,104),(84,104),(85,104),(86,104),(87,104),(88,104),(89,104),(90,104),(91,104),(92,101),(92,103),(93,102),(93,103),(94,98),(94,101),(94,102),(95,104),(96,104),(97,99),(97,100),(97,103),(98,104),(99,104),(100,104),(101,104),(102,104),(103,104)],105)=>25 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,17),(1,18),(1,21),(1,22),(1,30),(1,32),(1,35),(1,36),(2,15),(2,16),(2,19),(2,20),(2,30),(2,31),(2,33),(2,34),(3,26),(3,27),(3,28),(3,29),(3,31),(3,32),(3,68),(4,12),(4,23),(4,25),(4,29),(4,34),(4,36),(4,70),(5,11),(5,23),(5,24),(5,28),(5,33),(5,35),(5,69),(6,10),(6,14),(6,19),(6,21),(6,24),(6,27),(6,70),(7,10),(7,13),(7,20),(7,22),(7,25),(7,26),(7,69),(8,11),(8,13),(8,15),(8,17),(8,68),(8,70),(9,12),(9,14),(9,16),(9,18),(9,68),(9,69),(10,39),(10,77),(10,78),(10,92),(11,62),(11,64),(11,79),(11,93),(12,63),(12,65),(12,80),(12,94),(13,58),(13,60),(13,78),(13,93),(14,59),(14,61),(14,77),(14,94),(15,58),(15,62),(15,66),(15,82),(15,85),(16,59),(16,63),(16,67),(16,81),(16,85),(17,60),(17,64),(17,66),(17,84),(17,86),(18,61),(18,65),(18,67),(18,83),(18,86),(19,49),(19,52),(19,59),(19,82),(19,92),(20,48),(20,53),(20,58),(20,81),(20,92),(21,51),(21,54),(21,61),(21,84),(21,92),(22,50),(22,55),(22,60),(22,83),(22,92),(23,37),(23,40),(23,41),(23,79),(23,80),(24,52),(24,54),(24,56),(24,77),(24,79),(25,53),(25,55),(25,57),(25,78),(25,80),(26,39),(26,48),(26,50),(26,57),(26,93),(27,39),(27,49),(27,51),(27,56),(27,94),(28,37),(28,44),(28,46),(28,56),(28,93),(29,37),(29,45),(29,47),(29,57),(29,94),(30,38),(30,42),(30,43),(30,66),(30,67),(30,92),(31,38),(31,44),(31,45),(31,48),(31,49),(31,85),(32,38),(32,46),(32,47),(32,50),(32,51),(32,86),(33,40),(33,42),(33,44),(33,52),(33,62),(33,81),(34,40),(34,43),(34,45),(34,53),(34,63),(34,82),(35,41),(35,42),(35,46),(35,54),(35,64),(35,83),(36,41),(36,43),(36,47),(36,55),(36,65),(36,84),(37,100),(37,103),(38,87),(38,95),(38,100),(39,95),(39,103),(40,88),(40,89),(40,100),(41,90),(41,91),(41,100),(42,75),(42,100),(42,101),(43,76),(43,100),(43,102),(44,71),(44,96),(44,100),(45,72),(45,97),(45,100),(46,73),(46,98),(46,100),(47,74),(47,99),(47,100),(48,72),(48,95),(48,96),(49,71),(49,95),(49,97),(50,74),(50,95),(50,98),(51,73),(51,95),(51,99),(52,71),(52,88),(52,101),(53,72),(53,89),(53,102),(54,73),(54,90),(54,101),(55,74),(55,91),(55,102),(56,71),(56,73),(56,103),(57,72),(57,74),(57,103),(58,96),(58,102),(59,97),(59,101),(60,98),(60,102),(61,99),(61,101),(62,75),(62,88),(62,96),(63,76),(63,89),(63,97),(64,75),(64,90),(64,98),(65,76),(65,91),(65,99),(66,75),(66,87),(66,102),(67,76),(67,87),(67,101),(68,85),(68,86),(68,93),(68,94),(69,77),(69,80),(69,81),(69,83),(69,93),(70,78),(70,79),(70,82),(70,84),(70,94),(71,104),(72,104),(73,104),(74,104),(75,104),(76,104),(77,101),(77,103),(78,102),(78,103),(79,88),(79,90),(79,103),(80,89),(80,91),(80,103),(81,89),(81,96),(81,101),(82,88),(82,97),(82,102),(83,91),(83,98),(83,101),(84,90),(84,99),(84,102),(85,87),(85,96),(85,97),(86,87),(86,98),(86,99),(87,104),(88,104),(89,104),(90,104),(91,104),(92,95),(92,101),(92,102),(93,96),(93,98),(93,103),(94,97),(94,99),(94,103),(95,104),(96,104),(97,104),(98,104),(99,104),(100,104),(101,104),(102,104),(103,104)],105)=>14 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,14),(1,18),(1,22),(1,28),(1,30),(1,36),(1,37),(1,66),(2,13),(2,17),(2,21),(2,27),(2,29),(2,34),(2,35),(2,66),(3,12),(3,20),(3,24),(3,26),(3,32),(3,35),(3,37),(3,67),(4,11),(4,19),(4,23),(4,25),(4,31),(4,34),(4,36),(4,67),(5,16),(5,19),(5,20),(5,27),(5,28),(5,39),(5,40),(6,15),(6,17),(6,18),(6,25),(6,26),(6,38),(6,40),(7,29),(7,30),(7,31),(7,32),(7,33),(7,40),(7,41),(8,21),(8,22),(8,23),(8,24),(8,33),(8,38),(8,39),(9,11),(9,12),(9,15),(9,39),(9,41),(9,66),(10,13),(10,14),(10,16),(10,38),(10,41),(10,67),(11,42),(11,74),(11,80),(11,94),(12,43),(12,75),(12,81),(12,94),(13,44),(13,76),(13,78),(13,95),(14,45),(14,77),(14,79),(14,95),(15,42),(15,43),(15,72),(15,98),(16,44),(16,45),(16,73),(16,98),(17,46),(17,47),(17,72),(17,78),(17,82),(18,48),(18,49),(18,72),(18,79),(18,83),(19,50),(19,52),(19,73),(19,80),(19,84),(20,51),(20,53),(20,73),(20,81),(20,85),(21,54),(21,55),(21,64),(21,78),(21,97),(22,56),(22,57),(22,65),(22,79),(22,97),(23,54),(23,56),(23,62),(23,80),(23,96),(24,55),(24,57),(24,63),(24,81),(24,96),(25,42),(25,46),(25,48),(25,84),(25,96),(26,43),(26,47),(26,49),(26,85),(26,96),(27,44),(27,50),(27,51),(27,82),(27,97),(28,45),(28,52),(28,53),(28,83),(28,97),(29,58),(29,59),(29,64),(29,82),(29,95),(30,60),(30,61),(30,65),(30,83),(30,95),(31,58),(31,60),(31,62),(31,84),(31,94),(32,59),(32,61),(32,63),(32,85),(32,94),(33,62),(33,63),(33,64),(33,65),(33,98),(34,46),(34,50),(34,54),(34,58),(34,74),(34,76),(35,47),(35,51),(35,55),(35,59),(35,75),(35,76),(36,48),(36,52),(36,56),(36,60),(36,74),(36,77),(37,49),(37,53),(37,57),(37,61),(37,75),(37,77),(38,78),(38,79),(38,96),(38,98),(39,80),(39,81),(39,97),(39,98),(40,82),(40,83),(40,84),(40,85),(40,98),(41,94),(41,95),(41,98),(42,90),(42,104),(43,91),(43,104),(44,92),(44,105),(45,93),(45,105),(46,86),(46,90),(46,99),(47,87),(47,91),(47,99),(48,88),(48,90),(48,100),(49,89),(49,91),(49,100),(50,86),(50,92),(50,101),(51,87),(51,92),(51,102),(52,88),(52,93),(52,101),(53,89),(53,93),(53,102),(54,68),(54,99),(54,101),(55,69),(55,99),(55,102),(56,70),(56,100),(56,101),(57,71),(57,100),(57,102),(58,68),(58,86),(58,103),(59,69),(59,87),(59,103),(60,70),(60,88),(60,103),(61,71),(61,89),(61,103),(62,68),(62,70),(62,104),(63,69),(63,71),(63,104),(64,68),(64,69),(64,105),(65,70),(65,71),(65,105),(66,72),(66,74),(66,75),(66,95),(66,97),(67,73),(67,76),(67,77),(67,94),(67,96),(68,106),(69,106),(70,106),(71,106),(72,90),(72,91),(72,105),(73,92),(73,93),(73,104),(74,90),(74,101),(74,103),(75,91),(75,102),(75,103),(76,92),(76,99),(76,103),(77,93),(77,100),(77,103),(78,99),(78,105),(79,100),(79,105),(80,101),(80,104),(81,102),(81,104),(82,86),(82,87),(82,105),(83,88),(83,89),(83,105),(84,86),(84,88),(84,104),(85,87),(85,89),(85,104),(86,106),(87,106),(88,106),(89,106),(90,106),(91,106),(92,106),(93,106),(94,103),(94,104),(95,103),(95,105),(96,99),(96,100),(96,104),(97,101),(97,102),(97,105),(98,104),(98,105),(99,106),(100,106),(101,106),(102,106),(103,106),(104,106),(105,106)],107)=>26 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(1,20),(1,21),(1,22),(1,23),(1,36),(1,37),(1,67),(2,12),(2,16),(2,17),(2,18),(2,19),(2,34),(2,35),(2,67),(3,15),(3,28),(3,29),(3,30),(3,31),(3,35),(3,37),(3,66),(4,14),(4,24),(4,25),(4,26),(4,27),(4,34),(4,36),(4,66),(5,17),(5,21),(5,25),(5,29),(5,33),(5,39),(5,41),(6,16),(6,20),(6,24),(6,28),(6,33),(6,38),(6,40),(7,18),(7,23),(7,27),(7,30),(7,32),(7,38),(7,41),(8,19),(8,22),(8,26),(8,31),(8,32),(8,39),(8,40),(9,11),(9,14),(9,15),(9,40),(9,41),(9,67),(10,11),(10,12),(10,13),(10,38),(10,39),(10,66),(11,76),(11,77),(11,95),(12,76),(12,78),(12,82),(12,83),(13,76),(13,79),(13,84),(13,85),(14,77),(14,80),(14,86),(14,87),(15,77),(15,81),(15,88),(15,89),(16,42),(16,46),(16,58),(16,82),(16,93),(17,43),(17,47),(17,58),(17,83),(17,94),(18,44),(18,48),(18,59),(18,82),(18,94),(19,45),(19,49),(19,59),(19,83),(19,93),(20,50),(20,54),(20,60),(20,84),(20,93),(21,51),(21,55),(21,60),(21,85),(21,94),(22,52),(22,56),(22,61),(22,85),(22,93),(23,53),(23,57),(23,61),(23,84),(23,94),(24,42),(24,50),(24,62),(24,86),(24,91),(25,43),(25,51),(25,62),(25,87),(25,92),(26,45),(26,52),(26,63),(26,86),(26,92),(27,44),(27,53),(27,63),(27,87),(27,91),(28,46),(28,54),(28,64),(28,88),(28,91),(29,47),(29,55),(29,64),(29,89),(29,92),(30,48),(30,57),(30,65),(30,89),(30,91),(31,49),(31,56),(31,65),(31,88),(31,92),(32,59),(32,61),(32,63),(32,65),(32,95),(33,58),(33,60),(33,62),(33,64),(33,95),(34,42),(34,43),(34,44),(34,45),(34,78),(34,80),(35,46),(35,47),(35,48),(35,49),(35,78),(35,81),(36,50),(36,51),(36,52),(36,53),(36,79),(36,80),(37,54),(37,55),(37,56),(37,57),(37,79),(37,81),(38,82),(38,84),(38,91),(38,95),(39,83),(39,85),(39,92),(39,95),(40,86),(40,88),(40,93),(40,95),(41,87),(41,89),(41,94),(41,95),(42,68),(42,96),(42,100),(43,68),(43,97),(43,101),(44,69),(44,96),(44,101),(45,69),(45,97),(45,100),(46,70),(46,96),(46,102),(47,70),(47,97),(47,103),(48,71),(48,96),(48,103),(49,71),(49,97),(49,102),(50,72),(50,98),(50,100),(51,72),(51,99),(51,101),(52,73),(52,99),(52,100),(53,73),(53,98),(53,101),(54,74),(54,98),(54,102),(55,74),(55,99),(55,103),(56,75),(56,99),(56,102),(57,75),(57,98),(57,103),(58,68),(58,70),(58,104),(59,69),(59,71),(59,104),(60,72),(60,74),(60,104),(61,73),(61,75),(61,104),(62,68),(62,72),(62,105),(63,69),(63,73),(63,105),(64,70),(64,74),(64,105),(65,71),(65,75),(65,105),(66,77),(66,78),(66,79),(66,91),(66,92),(67,76),(67,80),(67,81),(67,93),(67,94),(68,106),(69,106),(70,106),(71,106),(72,106),(73,106),(74,106),(75,106),(76,90),(76,104),(77,90),(77,105),(78,90),(78,96),(78,97),(79,90),(79,98),(79,99),(80,90),(80,100),(80,101),(81,90),(81,102),(81,103),(82,96),(82,104),(83,97),(83,104),(84,98),(84,104),(85,99),(85,104),(86,100),(86,105),(87,101),(87,105),(88,102),(88,105),(89,103),(89,105),(90,106),(91,96),(91,98),(91,105),(92,97),(92,99),(92,105),(93,100),(93,102),(93,104),(94,101),(94,103),(94,104),(95,104),(95,105),(96,106),(97,106),(98,106),(99,106),(100,106),(101,106),(102,106),(103,106),(104,106),(105,106)],107)=>25 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,13),(1,15),(1,19),(1,23),(1,27),(1,31),(1,38),(1,39),(2,13),(2,14),(2,18),(2,22),(2,26),(2,30),(2,36),(2,37),(3,12),(3,17),(3,21),(3,25),(3,29),(3,33),(3,37),(3,39),(4,12),(4,16),(4,20),(4,24),(4,28),(4,32),(4,36),(4,38),(5,11),(5,22),(5,23),(5,24),(5,25),(5,35),(5,41),(6,11),(6,18),(6,19),(6,20),(6,21),(6,34),(6,40),(7,10),(7,26),(7,27),(7,28),(7,29),(7,34),(7,41),(8,10),(8,30),(8,31),(8,32),(8,33),(8,35),(8,40),(9,14),(9,15),(9,16),(9,17),(9,40),(9,41),(10,96),(10,100),(10,101),(11,96),(11,98),(11,99),(12,43),(12,97),(12,99),(12,101),(13,42),(13,97),(13,98),(13,100),(14,42),(14,44),(14,45),(14,80),(14,84),(15,42),(15,46),(15,47),(15,81),(15,85),(16,43),(16,44),(16,46),(16,82),(16,86),(17,43),(17,45),(17,47),(17,83),(17,87),(18,48),(18,49),(18,64),(18,80),(18,98),(19,50),(19,51),(19,65),(19,81),(19,98),(20,48),(20,50),(20,66),(20,82),(20,99),(21,49),(21,51),(21,67),(21,83),(21,99),(22,52),(22,53),(22,68),(22,84),(22,98),(23,54),(23,55),(23,69),(23,85),(23,98),(24,52),(24,54),(24,70),(24,86),(24,99),(25,53),(25,55),(25,71),(25,87),(25,99),(26,56),(26,57),(26,64),(26,84),(26,100),(27,58),(27,59),(27,65),(27,85),(27,100),(28,56),(28,58),(28,66),(28,86),(28,101),(29,57),(29,59),(29,67),(29,87),(29,101),(30,60),(30,61),(30,68),(30,80),(30,100),(31,62),(31,63),(31,69),(31,81),(31,100),(32,60),(32,62),(32,70),(32,82),(32,101),(33,61),(33,63),(33,71),(33,83),(33,101),(34,64),(34,65),(34,66),(34,67),(34,96),(35,68),(35,69),(35,70),(35,71),(35,96),(36,44),(36,48),(36,52),(36,56),(36,60),(36,97),(37,45),(37,49),(37,53),(37,57),(37,61),(37,97),(38,46),(38,50),(38,54),(38,58),(38,62),(38,97),(39,47),(39,51),(39,55),(39,59),(39,63),(39,97),(40,80),(40,81),(40,82),(40,83),(40,96),(41,84),(41,85),(41,86),(41,87),(41,96),(42,102),(42,105),(43,102),(43,106),(44,88),(44,92),(44,102),(45,89),(45,93),(45,102),(46,90),(46,94),(46,102),(47,91),(47,95),(47,102),(48,72),(48,88),(48,103),(49,73),(49,89),(49,103),(50,74),(50,90),(50,103),(51,75),(51,91),(51,103),(52,76),(52,92),(52,103),(53,77),(53,93),(53,103),(54,78),(54,94),(54,103),(55,79),(55,95),(55,103),(56,72),(56,92),(56,104),(57,73),(57,93),(57,104),(58,74),(58,94),(58,104),(59,75),(59,95),(59,104),(60,76),(60,88),(60,104),(61,77),(61,89),(61,104),(62,78),(62,90),(62,104),(63,79),(63,91),(63,104),(64,72),(64,73),(64,105),(65,74),(65,75),(65,105),(66,72),(66,74),(66,106),(67,73),(67,75),(67,106),(68,76),(68,77),(68,105),(69,78),(69,79),(69,105),(70,76),(70,78),(70,106),(71,77),(71,79),(71,106),(72,107),(73,107),(74,107),(75,107),(76,107),(77,107),(78,107),(79,107),(80,88),(80,89),(80,105),(81,90),(81,91),(81,105),(82,88),(82,90),(82,106),(83,89),(83,91),(83,106),(84,92),(84,93),(84,105),(85,94),(85,95),(85,105),(86,92),(86,94),(86,106),(87,93),(87,95),(87,106),(88,107),(89,107),(90,107),(91,107),(92,107),(93,107),(94,107),(95,107),(96,105),(96,106),(97,102),(97,103),(97,104),(98,103),(98,105),(99,103),(99,106),(100,104),(100,105),(101,104),(101,106),(102,107),(103,107),(104,107),(105,107),(106,107)],108)=>13 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(1,17),(1,21),(1,25),(1,29),(1,36),(1,37),(1,43),(2,12),(2,16),(2,20),(2,24),(2,28),(2,34),(2,35),(2,43),(3,15),(3,19),(3,23),(3,27),(3,31),(3,35),(3,37),(3,42),(4,14),(4,18),(4,22),(4,26),(4,30),(4,34),(4,36),(4,42),(5,11),(5,12),(5,13),(5,14),(5,15),(5,70),(5,71),(6,20),(6,21),(6,22),(6,23),(6,33),(6,69),(6,71),(7,16),(7,17),(7,18),(7,19),(7,33),(7,68),(7,70),(8,28),(8,29),(8,30),(8,31),(8,32),(8,68),(8,71),(9,24),(9,25),(9,26),(9,27),(9,32),(9,69),(9,70),(10,11),(10,42),(10,43),(10,68),(10,69),(11,80),(11,81),(11,103),(12,38),(12,39),(12,80),(12,82),(12,86),(13,40),(13,41),(13,80),(13,83),(13,87),(14,38),(14,40),(14,81),(14,84),(14,88),(15,39),(15,41),(15,81),(15,85),(15,89),(16,44),(16,45),(16,60),(16,82),(16,99),(17,46),(17,47),(17,61),(17,83),(17,99),(18,44),(18,46),(18,62),(18,84),(18,100),(19,45),(19,47),(19,63),(19,85),(19,100),(20,48),(20,49),(20,60),(20,86),(20,101),(21,50),(21,51),(21,61),(21,87),(21,101),(22,48),(22,50),(22,62),(22,88),(22,102),(23,49),(23,51),(23,63),(23,89),(23,102),(24,52),(24,53),(24,64),(24,82),(24,101),(25,54),(25,55),(25,65),(25,83),(25,101),(26,52),(26,54),(26,66),(26,84),(26,102),(27,53),(27,55),(27,67),(27,85),(27,102),(28,56),(28,57),(28,64),(28,86),(28,99),(29,58),(29,59),(29,65),(29,87),(29,99),(30,56),(30,58),(30,66),(30,88),(30,100),(31,57),(31,59),(31,67),(31,89),(31,100),(32,64),(32,65),(32,66),(32,67),(32,103),(33,60),(33,61),(33,62),(33,63),(33,103),(34,38),(34,44),(34,48),(34,52),(34,56),(34,98),(35,39),(35,45),(35,49),(35,53),(35,57),(35,98),(36,40),(36,46),(36,50),(36,54),(36,58),(36,98),(37,41),(37,47),(37,51),(37,55),(37,59),(37,98),(38,90),(38,94),(38,104),(39,91),(39,95),(39,104),(40,92),(40,96),(40,104),(41,93),(41,97),(41,104),(42,81),(42,98),(42,100),(42,102),(43,80),(43,98),(43,99),(43,101),(44,72),(44,90),(44,105),(45,73),(45,91),(45,105),(46,74),(46,92),(46,105),(47,75),(47,93),(47,105),(48,72),(48,94),(48,106),(49,73),(49,95),(49,106),(50,74),(50,96),(50,106),(51,75),(51,97),(51,106),(52,76),(52,90),(52,106),(53,77),(53,91),(53,106),(54,78),(54,92),(54,106),(55,79),(55,93),(55,106),(56,76),(56,94),(56,105),(57,77),(57,95),(57,105),(58,78),(58,96),(58,105),(59,79),(59,97),(59,105),(60,72),(60,73),(60,107),(61,74),(61,75),(61,107),(62,72),(62,74),(62,108),(63,73),(63,75),(63,108),(64,76),(64,77),(64,107),(65,78),(65,79),(65,107),(66,76),(66,78),(66,108),(67,77),(67,79),(67,108),(68,99),(68,100),(68,103),(69,101),(69,102),(69,103),(70,82),(70,83),(70,84),(70,85),(70,103),(71,86),(71,87),(71,88),(71,89),(71,103),(72,109),(73,109),(74,109),(75,109),(76,109),(77,109),(78,109),(79,109),(80,104),(80,107),(81,104),(81,108),(82,90),(82,91),(82,107),(83,92),(83,93),(83,107),(84,90),(84,92),(84,108),(85,91),(85,93),(85,108),(86,94),(86,95),(86,107),(87,96),(87,97),(87,107),(88,94),(88,96),(88,108),(89,95),(89,97),(89,108),(90,109),(91,109),(92,109),(93,109),(94,109),(95,109),(96,109),(97,109),(98,104),(98,105),(98,106),(99,105),(99,107),(100,105),(100,108),(101,106),(101,107),(102,106),(102,108),(103,107),(103,108),(104,109),(105,109),(106,109),(107,109),(108,109)],110)=>28 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,17),(1,24),(1,25),(1,29),(1,34),(1,35),(1,38),(1,39),(2,16),(2,22),(2,23),(2,29),(2,32),(2,33),(2,36),(2,37),(3,11),(3,15),(3,19),(3,21),(3,27),(3,28),(3,37),(3,39),(4,10),(4,14),(4,18),(4,20),(4,26),(4,28),(4,36),(4,38),(5,12),(5,18),(5,21),(5,31),(5,32),(5,34),(5,40),(6,12),(6,19),(6,20),(6,30),(6,33),(6,35),(6,41),(7,10),(7,13),(7,22),(7,24),(7,27),(7,30),(7,40),(8,11),(8,13),(8,23),(8,25),(8,26),(8,31),(8,41),(9,14),(9,15),(9,16),(9,17),(9,40),(9,41),(10,48),(10,83),(10,96),(10,97),(11,49),(11,84),(11,96),(11,98),(12,46),(12,47),(12,95),(12,99),(13,63),(13,64),(13,95),(13,96),(14,69),(14,71),(14,73),(14,83),(14,89),(15,70),(15,72),(15,73),(15,84),(15,90),(16,62),(16,69),(16,70),(16,85),(16,86),(17,62),(17,71),(17,72),(17,87),(17,88),(18,58),(18,60),(18,74),(18,83),(18,99),(19,59),(19,61),(19,75),(19,84),(19,99),(20,48),(20,50),(20,52),(20,89),(20,99),(21,49),(21,51),(21,53),(21,90),(21,99),(22,54),(22,63),(22,66),(22,85),(22,97),(23,55),(23,63),(23,65),(23,86),(23,98),(24,56),(24,64),(24,68),(24,87),(24,97),(25,57),(25,64),(25,67),(25,88),(25,98),(26,65),(26,67),(26,74),(26,89),(26,96),(27,66),(27,68),(27,75),(27,90),(27,96),(28,44),(28,45),(28,73),(28,96),(28,99),(29,42),(29,43),(29,62),(29,97),(29,98),(30,48),(30,54),(30,56),(30,75),(30,95),(31,49),(31,55),(31,57),(31,74),(31,95),(32,43),(32,46),(32,51),(32,55),(32,58),(32,85),(33,42),(33,46),(33,50),(33,54),(33,59),(33,86),(34,43),(34,47),(34,53),(34,57),(34,60),(34,87),(35,42),(35,47),(35,52),(35,56),(35,61),(35,88),(36,44),(36,50),(36,58),(36,65),(36,69),(36,97),(37,44),(37,51),(37,59),(37,66),(37,70),(37,98),(38,45),(38,52),(38,60),(38,67),(38,71),(38,97),(39,45),(39,53),(39,61),(39,68),(39,72),(39,98),(40,83),(40,85),(40,87),(40,90),(40,95),(41,84),(41,86),(41,88),(41,89),(41,95),(42,82),(42,104),(42,107),(43,82),(43,105),(43,106),(44,76),(44,100),(44,108),(45,77),(45,101),(45,108),(46,82),(46,100),(46,102),(47,82),(47,101),(47,103),(48,104),(48,109),(49,105),(49,109),(50,91),(50,100),(50,104),(51,92),(51,100),(51,105),(52,93),(52,101),(52,104),(53,94),(53,101),(53,105),(54,79),(54,102),(54,104),(55,78),(55,102),(55,105),(56,81),(56,103),(56,104),(57,80),(57,103),(57,105),(58,78),(58,100),(58,106),(59,79),(59,100),(59,107),(60,80),(60,101),(60,106),(61,81),(61,101),(61,107),(62,106),(62,107),(63,102),(63,108),(64,103),(64,108),(65,78),(65,91),(65,108),(66,79),(66,92),(66,108),(67,80),(67,93),(67,108),(68,81),(68,94),(68,108),(69,76),(69,91),(69,106),(70,76),(70,92),(70,107),(71,77),(71,93),(71,106),(72,77),(72,94),(72,107),(73,76),(73,77),(73,109),(74,78),(74,80),(74,109),(75,79),(75,81),(75,109),(76,110),(77,110),(78,110),(79,110),(80,110),(81,110),(82,110),(83,106),(83,109),(84,107),(84,109),(85,92),(85,102),(85,106),(86,91),(86,102),(86,107),(87,94),(87,103),(87,106),(88,93),(88,103),(88,107),(89,91),(89,93),(89,109),(90,92),(90,94),(90,109),(91,110),(92,110),(93,110),(94,110),(95,102),(95,103),(95,109),(96,108),(96,109),(97,104),(97,106),(97,108),(98,105),(98,107),(98,108),(99,100),(99,101),(99,109),(100,110),(101,110),(102,110),(103,110),(104,110),(105,110),(106,110),(107,110),(108,110),(109,110)],111)=>13 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,17),(1,18),(1,23),(1,24),(1,32),(1,33),(1,36),(1,39),(2,14),(2,16),(2,20),(2,22),(2,31),(2,33),(2,35),(2,38),(3,13),(3,15),(3,19),(3,21),(3,31),(3,32),(3,34),(3,37),(4,12),(4,15),(4,16),(4,25),(4,26),(4,36),(4,75),(5,10),(5,13),(5,17),(5,27),(5,29),(5,35),(5,75),(6,11),(6,14),(6,18),(6,28),(6,30),(6,34),(6,75),(7,12),(7,21),(7,22),(7,29),(7,30),(7,39),(7,74),(8,10),(8,19),(8,23),(8,26),(8,28),(8,38),(8,74),(9,11),(9,20),(9,24),(9,25),(9,27),(9,37),(9,74),(10,42),(10,83),(10,85),(10,102),(11,41),(11,82),(11,86),(11,103),(12,43),(12,84),(12,87),(12,101),(13,46),(13,56),(13,70),(13,88),(13,102),(14,47),(14,57),(14,71),(14,89),(14,103),(15,44),(15,58),(15,68),(15,88),(15,101),(16,45),(16,59),(16,69),(16,89),(16,101),(17,49),(17,60),(17,72),(17,90),(17,102),(18,48),(18,61),(18,73),(18,90),(18,103),(19,52),(19,62),(19,68),(19,91),(19,102),(20,53),(20,63),(20,69),(20,92),(20,103),(21,50),(21,64),(21,70),(21,91),(21,101),(22,51),(22,65),(22,71),(22,92),(22,101),(23,55),(23,66),(23,73),(23,93),(23,102),(24,54),(24,67),(24,72),(24,93),(24,103),(25,58),(25,67),(25,69),(25,82),(25,87),(26,59),(26,66),(26,68),(26,83),(26,87),(27,56),(27,63),(27,72),(27,82),(27,85),(28,57),(28,62),(28,73),(28,83),(28,86),(29,60),(29,65),(29,70),(29,84),(29,85),(30,61),(30,64),(30,71),(30,84),(30,86),(31,40),(31,46),(31,47),(31,52),(31,53),(31,101),(32,40),(32,44),(32,48),(32,50),(32,54),(32,102),(33,40),(33,45),(33,49),(33,51),(33,55),(33,103),(34,41),(34,47),(34,48),(34,62),(34,64),(34,88),(35,42),(35,46),(35,49),(35,63),(35,65),(35,89),(36,43),(36,44),(36,45),(36,66),(36,67),(36,90),(37,41),(37,53),(37,54),(37,56),(37,58),(37,91),(38,42),(38,52),(38,55),(38,57),(38,59),(38,92),(39,43),(39,50),(39,51),(39,60),(39,61),(39,93),(40,104),(40,105),(40,106),(41,94),(41,97),(41,106),(42,95),(42,98),(42,105),(43,96),(43,99),(43,104),(44,78),(44,104),(44,108),(45,79),(45,104),(45,109),(46,76),(46,105),(46,107),(47,77),(47,106),(47,107),(48,80),(48,106),(48,108),(49,81),(49,105),(49,109),(50,80),(50,104),(50,111),(51,81),(51,104),(51,112),(52,77),(52,105),(52,110),(53,76),(53,106),(53,110),(54,78),(54,106),(54,111),(55,79),(55,105),(55,112),(56,76),(56,94),(56,111),(57,77),(57,95),(57,112),(58,78),(58,94),(58,110),(59,79),(59,95),(59,110),(60,81),(60,96),(60,111),(61,80),(61,96),(61,112),(62,77),(62,97),(62,108),(63,76),(63,98),(63,109),(64,80),(64,97),(64,107),(65,81),(65,98),(65,107),(66,79),(66,99),(66,108),(67,78),(67,99),(67,109),(68,108),(68,110),(69,109),(69,110),(70,107),(70,111),(71,107),(71,112),(72,109),(72,111),(73,108),(73,112),(74,85),(74,86),(74,87),(74,91),(74,92),(74,93),(75,82),(75,83),(75,84),(75,88),(75,89),(75,90),(76,113),(77,113),(78,113),(79,113),(80,113),(81,113),(82,94),(82,100),(82,109),(83,95),(83,100),(83,108),(84,96),(84,100),(84,107),(85,98),(85,100),(85,111),(86,97),(86,100),(86,112),(87,99),(87,100),(87,110),(88,94),(88,107),(88,108),(89,95),(89,107),(89,109),(90,96),(90,108),(90,109),(91,97),(91,110),(91,111),(92,98),(92,110),(92,112),(93,99),(93,111),(93,112),(94,113),(95,113),(96,113),(97,113),(98,113),(99,113),(100,113),(101,104),(101,107),(101,110),(102,105),(102,108),(102,111),(103,106),(103,109),(103,112),(104,113),(105,113),(106,113),(107,113),(108,113),(109,113),(110,113),(111,113),(112,113)],114)=>13 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,15),(1,22),(1,24),(1,32),(1,34),(1,37),(1,38),(1,69),(2,14),(2,22),(2,23),(2,31),(2,33),(2,35),(2,36),(2,68),(3,19),(3,21),(3,26),(3,28),(3,36),(3,38),(3,40),(3,71),(4,18),(4,20),(4,25),(4,27),(4,35),(4,37),(4,39),(4,71),(5,11),(5,29),(5,30),(5,33),(5,34),(5,39),(5,40),(5,70),(6,11),(6,12),(6,13),(6,14),(6,15),(6,41),(6,71),(7,12),(7,17),(7,18),(7,19),(7,31),(7,69),(7,70),(8,13),(8,16),(8,20),(8,21),(8,32),(8,68),(8,70),(9,16),(9,23),(9,25),(9,26),(9,29),(9,41),(9,69),(10,17),(10,24),(10,27),(10,28),(10,30),(10,41),(10,68),(11,76),(11,81),(11,88),(11,97),(12,48),(12,76),(12,79),(12,100),(13,49),(13,76),(13,80),(13,99),(14,48),(14,77),(14,97),(14,99),(15,49),(15,78),(15,97),(15,100),(16,50),(16,51),(16,99),(16,102),(17,52),(17,53),(17,100),(17,101),(18,52),(18,54),(18,79),(18,82),(18,86),(19,53),(19,55),(19,79),(19,83),(19,87),(20,50),(20,56),(20,80),(20,82),(20,84),(21,51),(21,57),(21,80),(21,83),(21,85),(22,42),(22,43),(22,89),(22,90),(22,97),(23,62),(23,63),(23,66),(23,89),(23,99),(24,64),(24,65),(24,67),(24,90),(24,100),(25,50),(25,58),(25,62),(25,86),(25,103),(26,51),(26,59),(26,63),(26,87),(26,103),(27,52),(27,60),(27,64),(27,84),(27,103),(28,53),(28,61),(28,65),(28,85),(28,103),(29,58),(29,59),(29,66),(29,88),(29,102),(30,60),(30,61),(30,67),(30,88),(30,101),(31,48),(31,54),(31,55),(31,89),(31,101),(32,49),(32,56),(32,57),(32,90),(32,102),(33,44),(33,45),(33,66),(33,97),(33,101),(34,46),(34,47),(34,67),(34,97),(34,102),(35,42),(35,44),(35,54),(35,62),(35,77),(35,84),(36,43),(36,45),(36,55),(36,63),(36,77),(36,85),(37,42),(37,46),(37,56),(37,64),(37,78),(37,86),(38,43),(38,47),(38,57),(38,65),(38,78),(38,87),(39,44),(39,46),(39,58),(39,60),(39,81),(39,82),(40,45),(40,47),(40,59),(40,61),(40,81),(40,83),(41,88),(41,99),(41,100),(41,103),(42,91),(42,93),(42,111),(43,92),(43,94),(43,111),(44,72),(44,105),(44,111),(45,73),(45,106),(45,111),(46,74),(46,107),(46,111),(47,75),(47,108),(47,111),(48,95),(48,112),(49,96),(49,112),(50,107),(50,109),(51,108),(51,109),(52,105),(52,110),(53,106),(53,110),(54,91),(54,95),(54,105),(55,92),(55,95),(55,106),(56,93),(56,96),(56,107),(57,94),(57,96),(57,108),(58,72),(58,104),(58,107),(59,73),(59,104),(59,108),(60,74),(60,104),(60,105),(61,75),(61,104),(61,106),(62,72),(62,91),(62,109),(63,73),(63,92),(63,109),(64,74),(64,93),(64,110),(65,75),(65,94),(65,110),(66,72),(66,73),(66,112),(67,74),(67,75),(67,112),(68,84),(68,85),(68,90),(68,99),(68,101),(69,86),(69,87),(69,89),(69,100),(69,102),(70,76),(70,82),(70,83),(70,101),(70,102),(71,77),(71,78),(71,79),(71,80),(71,81),(71,103),(72,113),(73,113),(74,113),(75,113),(76,98),(76,112),(77,95),(77,109),(77,111),(78,96),(78,110),(78,111),(79,95),(79,98),(79,110),(80,96),(80,98),(80,109),(81,98),(81,104),(81,111),(82,98),(82,105),(82,107),(83,98),(83,106),(83,108),(84,93),(84,105),(84,109),(85,94),(85,106),(85,109),(86,91),(86,107),(86,110),(87,92),(87,108),(87,110),(88,104),(88,112),(89,91),(89,92),(89,112),(90,93),(90,94),(90,112),(91,113),(92,113),(93,113),(94,113),(95,113),(96,113),(97,111),(97,112),(98,113),(99,109),(99,112),(100,110),(100,112),(101,105),(101,106),(101,112),(102,107),(102,108),(102,112),(103,104),(103,109),(103,110),(104,113),(105,113),(106,113),(107,113),(108,113),(109,113),(110,113),(111,113),(112,113)],114)=>19 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(1,18),(1,28),(1,30),(1,32),(1,35),(1,36),(1,72),(2,12),(2,17),(2,27),(2,29),(2,32),(2,33),(2,34),(2,71),(3,17),(3,20),(3,21),(3,30),(3,31),(3,37),(3,38),(3,73),(4,18),(4,19),(4,22),(4,29),(4,31),(4,39),(4,40),(4,74),(5,16),(5,24),(5,26),(5,34),(5,36),(5,38),(5,40),(5,75),(6,15),(6,23),(6,25),(6,33),(6,35),(6,37),(6,39),(6,75),(7,11),(7,15),(7,16),(7,19),(7,20),(7,71),(7,72),(8,14),(8,22),(8,23),(8,24),(8,27),(8,72),(8,73),(9,14),(9,21),(9,25),(9,26),(9,28),(9,71),(9,74),(10,11),(10,12),(10,13),(10,73),(10,74),(10,75),(11,84),(11,99),(11,100),(12,41),(12,82),(12,85),(12,99),(13,41),(13,83),(13,86),(13,100),(14,58),(14,59),(14,101),(14,102),(15,54),(15,56),(15,84),(15,87),(15,89),(16,55),(16,57),(16,84),(16,88),(16,90),(17,44),(17,45),(17,85),(17,91),(17,98),(18,46),(18,47),(18,86),(18,92),(18,98),(19,54),(19,55),(19,68),(19,92),(19,99),(20,56),(20,57),(20,68),(20,91),(20,100),(21,64),(21,65),(21,70),(21,91),(21,102),(22,66),(22,67),(22,69),(22,92),(22,102),(23,58),(23,60),(23,66),(23,89),(23,103),(24,59),(24,61),(24,67),(24,90),(24,103),(25,58),(25,62),(25,64),(25,87),(25,104),(26,59),(26,63),(26,65),(26,88),(26,104),(27,60),(27,61),(27,69),(27,85),(27,101),(28,62),(28,63),(28,70),(28,86),(28,101),(29,50),(29,51),(29,69),(29,98),(29,99),(30,52),(30,53),(30,70),(30,98),(30,100),(31,48),(31,49),(31,68),(31,98),(31,102),(32,41),(32,42),(32,43),(32,98),(32,101),(33,42),(33,44),(33,50),(33,60),(33,82),(33,87),(34,43),(34,45),(34,51),(34,61),(34,82),(34,88),(35,42),(35,46),(35,52),(35,62),(35,83),(35,89),(36,43),(36,47),(36,53),(36,63),(36,83),(36,90),(37,44),(37,48),(37,52),(37,56),(37,64),(37,103),(38,45),(38,49),(38,53),(38,57),(38,65),(38,103),(39,46),(39,48),(39,50),(39,54),(39,66),(39,104),(40,47),(40,49),(40,51),(40,55),(40,67),(40,104),(41,97),(41,114),(42,97),(42,105),(42,107),(43,97),(43,106),(43,108),(44,93),(44,105),(44,109),(45,94),(45,106),(45,109),(46,95),(46,105),(46,110),(47,96),(47,106),(47,110),(48,80),(48,105),(48,113),(49,81),(49,106),(49,113),(50,76),(50,105),(50,111),(51,77),(51,106),(51,111),(52,78),(52,105),(52,112),(53,79),(53,106),(53,112),(54,80),(54,95),(54,111),(55,81),(55,96),(55,111),(56,80),(56,93),(56,112),(57,81),(57,94),(57,112),(58,107),(58,113),(59,108),(59,113),(60,76),(60,107),(60,109),(61,77),(61,108),(61,109),(62,78),(62,107),(62,110),(63,79),(63,108),(63,110),(64,78),(64,93),(64,113),(65,79),(65,94),(65,113),(66,76),(66,95),(66,113),(67,77),(67,96),(67,113),(68,80),(68,81),(68,114),(69,76),(69,77),(69,114),(70,78),(70,79),(70,114),(71,87),(71,88),(71,91),(71,99),(71,101),(72,89),(72,90),(72,92),(72,100),(72,101),(73,85),(73,100),(73,102),(73,103),(74,86),(74,99),(74,102),(74,104),(75,82),(75,83),(75,84),(75,103),(75,104),(76,115),(77,115),(78,115),(79,115),(80,115),(81,115),(82,97),(82,109),(82,111),(83,97),(83,110),(83,112),(84,111),(84,112),(85,109),(85,114),(86,110),(86,114),(87,93),(87,107),(87,111),(88,94),(88,108),(88,111),(89,95),(89,107),(89,112),(90,96),(90,108),(90,112),(91,93),(91,94),(91,114),(92,95),(92,96),(92,114),(93,115),(94,115),(95,115),(96,115),(97,115),(98,105),(98,106),(98,114),(99,111),(99,114),(100,112),(100,114),(101,107),(101,108),(101,114),(102,113),(102,114),(103,109),(103,112),(103,113),(104,110),(104,111),(104,113),(105,115),(106,115),(107,115),(108,115),(109,115),(110,115),(111,115),(112,115),(113,115),(114,115)],116)=>20 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,20),(1,29),(1,30),(1,34),(1,35),(1,39),(1,40),(1,75),(2,19),(2,24),(2,28),(2,31),(2,33),(2,37),(2,40),(2,72),(3,18),(3,23),(3,27),(3,31),(3,32),(3,36),(3,39),(3,71),(4,17),(4,21),(4,26),(4,32),(4,34),(4,37),(4,38),(4,73),(5,16),(5,22),(5,25),(5,33),(5,35),(5,36),(5,38),(5,74),(6,12),(6,14),(6,16),(6,21),(6,23),(6,72),(6,75),(7,11),(7,15),(7,17),(7,22),(7,24),(7,71),(7,75),(8,11),(8,13),(8,18),(8,25),(8,29),(8,72),(8,73),(9,12),(9,13),(9,19),(9,26),(9,30),(9,71),(9,74),(10,14),(10,15),(10,20),(10,27),(10,28),(10,73),(10,74),(11,61),(11,81),(11,83),(11,105),(12,62),(12,82),(12,84),(12,104),(13,65),(13,81),(13,82),(13,101),(14,63),(14,84),(14,85),(14,103),(15,64),(15,83),(15,85),(15,102),(16,52),(16,55),(16,84),(16,87),(16,92),(17,51),(17,56),(17,83),(17,86),(17,93),(18,53),(18,57),(18,81),(18,88),(18,90),(19,54),(19,58),(19,82),(19,89),(19,91),(20,59),(20,60),(20,85),(20,94),(20,95),(21,52),(21,62),(21,66),(21,93),(21,103),(22,51),(22,61),(22,67),(22,92),(22,102),(23,55),(23,63),(23,66),(23,88),(23,104),(24,56),(24,64),(24,67),(24,89),(24,105),(25,53),(25,61),(25,69),(25,87),(25,101),(26,54),(26,62),(26,70),(26,86),(26,101),(27,59),(27,63),(27,68),(27,90),(27,102),(28,60),(28,64),(28,68),(28,91),(28,103),(29,57),(29,65),(29,69),(29,94),(29,105),(30,58),(30,65),(30,70),(30,95),(30,104),(31,41),(31,42),(31,48),(31,68),(31,88),(31,89),(32,41),(32,43),(32,46),(32,66),(32,86),(32,90),(33,42),(33,44),(33,47),(33,67),(33,87),(33,91),(34,43),(34,45),(34,50),(34,70),(34,93),(34,94),(35,44),(35,45),(35,49),(35,69),(35,92),(35,95),(36,42),(36,46),(36,49),(36,53),(36,55),(36,102),(37,41),(37,47),(37,50),(37,54),(37,56),(37,103),(38,45),(38,46),(38,47),(38,51),(38,52),(38,101),(39,43),(39,48),(39,49),(39,57),(39,59),(39,104),(40,44),(40,48),(40,50),(40,58),(40,60),(40,105),(41,97),(41,106),(41,111),(42,96),(42,107),(42,111),(43,99),(43,108),(43,111),(44,100),(44,109),(44,111),(45,98),(45,110),(45,111),(46,76),(46,111),(46,112),(47,77),(47,111),(47,113),(48,80),(48,111),(48,114),(49,78),(49,111),(49,115),(50,79),(50,111),(50,116),(51,77),(51,98),(51,112),(52,76),(52,98),(52,113),(53,78),(53,96),(53,112),(54,79),(54,97),(54,113),(55,76),(55,96),(55,115),(56,77),(56,97),(56,116),(57,78),(57,99),(57,114),(58,79),(58,100),(58,114),(59,80),(59,99),(59,115),(60,80),(60,100),(60,116),(61,109),(61,112),(62,108),(62,113),(63,106),(63,115),(64,107),(64,116),(65,110),(65,114),(66,76),(66,106),(66,108),(67,77),(67,107),(67,109),(68,80),(68,106),(68,107),(69,78),(69,109),(69,110),(70,79),(70,108),(70,110),(71,81),(71,86),(71,89),(71,102),(71,104),(72,82),(72,87),(72,88),(72,103),(72,105),(73,83),(73,90),(73,94),(73,101),(73,103),(74,84),(74,91),(74,95),(74,101),(74,102),(75,85),(75,92),(75,93),(75,104),(75,105),(76,117),(77,117),(78,117),(79,117),(80,117),(81,112),(81,114),(82,113),(82,114),(83,112),(83,116),(84,113),(84,115),(85,115),(85,116),(86,97),(86,108),(86,112),(87,96),(87,109),(87,113),(88,96),(88,106),(88,114),(89,97),(89,107),(89,114),(90,99),(90,106),(90,112),(91,100),(91,107),(91,113),(92,98),(92,109),(92,115),(93,98),(93,108),(93,116),(94,99),(94,110),(94,116),(95,100),(95,110),(95,115),(96,117),(97,117),(98,117),(99,117),(100,117),(101,110),(101,112),(101,113),(102,107),(102,112),(102,115),(103,106),(103,113),(103,116),(104,108),(104,114),(104,115),(105,109),(105,114),(105,116),(106,117),(107,117),(108,117),(109,117),(110,117),(111,117),(112,117),(113,117),(114,117),(115,117),(116,117)],118)=>17 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,14),(1,18),(1,19),(1,28),(1,31),(1,32),(1,34),(1,37),(1,38),(2,13),(2,16),(2,17),(2,28),(2,29),(2,30),(2,33),(2,35),(2,36),(3,12),(3,21),(3,23),(3,25),(3,27),(3,30),(3,32),(3,50),(4,11),(4,20),(4,22),(4,24),(4,26),(4,29),(4,31),(4,50),(5,11),(5,16),(5,18),(5,27),(5,39),(5,73),(5,74),(6,12),(6,17),(6,19),(6,26),(6,40),(6,73),(6,75),(7,15),(7,20),(7,21),(7,33),(7,34),(7,74),(7,75),(8,22),(8,25),(8,35),(8,37),(8,40),(8,72),(8,74),(9,23),(9,24),(9,36),(9,38),(9,39),(9,72),(9,75),(10,13),(10,14),(10,15),(10,50),(10,72),(10,73),(11,41),(11,84),(11,104),(11,105),(12,42),(12,85),(12,104),(12,106),(13,43),(13,63),(13,82),(13,86),(13,90),(14,43),(14,64),(14,83),(14,87),(14,91),(15,63),(15,64),(15,76),(15,107),(16,45),(16,65),(16,86),(16,92),(16,105),(17,44),(17,66),(17,86),(17,93),(17,106),(18,47),(18,67),(18,87),(18,94),(18,105),(19,46),(19,68),(19,87),(19,95),(19,106),(20,51),(20,53),(20,76),(20,84),(20,88),(21,52),(21,54),(21,76),(21,85),(21,89),(22,48),(22,59),(22,61),(22,84),(22,103),(23,49),(23,60),(23,62),(23,85),(23,103),(24,41),(24,55),(24,57),(24,88),(24,103),(25,42),(25,56),(25,58),(25,89),(25,103),(26,44),(26,46),(26,48),(26,88),(26,104),(27,45),(27,47),(27,49),(27,89),(27,104),(28,43),(28,69),(28,70),(28,71),(28,105),(28,106),(29,44),(29,51),(29,55),(29,59),(29,82),(29,105),(30,45),(30,52),(30,56),(30,60),(30,82),(30,106),(31,46),(31,53),(31,57),(31,61),(31,83),(31,105),(32,47),(32,54),(32,58),(32,62),(32,83),(32,106),(33,51),(33,52),(33,63),(33,71),(33,92),(33,93),(34,53),(34,54),(34,64),(34,71),(34,94),(34,95),(35,56),(35,59),(35,66),(35,70),(35,90),(35,92),(36,55),(36,60),(36,65),(36,69),(36,90),(36,93),(37,58),(37,61),(37,68),(37,70),(37,91),(37,94),(38,57),(38,62),(38,67),(38,69),(38,91),(38,95),(39,41),(39,49),(39,65),(39,67),(39,107),(40,42),(40,48),(40,66),(40,68),(40,107),(41,108),(41,117),(42,109),(42,117),(43,77),(43,96),(43,116),(44,78),(44,97),(44,116),(45,79),(45,98),(45,116),(46,80),(46,99),(46,116),(47,81),(47,100),(47,116),(48,78),(48,80),(48,117),(49,79),(49,81),(49,117),(50,76),(50,82),(50,83),(50,103),(50,104),(51,97),(51,101),(51,114),(52,98),(52,101),(52,115),(53,99),(53,102),(53,114),(54,100),(54,102),(54,115),(55,97),(55,108),(55,110),(56,98),(56,109),(56,110),(57,99),(57,108),(57,111),(58,100),(58,109),(58,111),(59,78),(59,110),(59,114),(60,79),(60,110),(60,115),(61,80),(61,111),(61,114),(62,81),(62,111),(62,115),(63,77),(63,101),(63,112),(64,77),(64,102),(64,113),(65,79),(65,108),(65,112),(66,78),(66,109),(66,112),(67,81),(67,108),(67,113),(68,80),(68,109),(68,113),(69,96),(69,108),(69,115),(70,96),(70,109),(70,114),(71,77),(71,114),(71,115),(72,90),(72,91),(72,103),(72,107),(73,86),(73,87),(73,104),(73,107),(74,84),(74,89),(74,92),(74,94),(74,107),(75,85),(75,88),(75,93),(75,95),(75,107),(76,101),(76,102),(76,117),(77,118),(78,118),(79,118),(80,118),(81,118),(82,101),(82,110),(82,116),(83,102),(83,111),(83,116),(84,114),(84,117),(85,115),(85,117),(86,112),(86,116),(87,113),(87,116),(88,97),(88,99),(88,117),(89,98),(89,100),(89,117),(90,96),(90,110),(90,112),(91,96),(91,111),(91,113),(92,98),(92,112),(92,114),(93,97),(93,112),(93,115),(94,100),(94,113),(94,114),(95,99),(95,113),(95,115),(96,118),(97,118),(98,118),(99,118),(100,118),(101,118),(102,118),(103,110),(103,111),(103,117),(104,116),(104,117),(105,108),(105,114),(105,116),(106,109),(106,115),(106,116),(107,112),(107,113),(107,117),(108,118),(109,118),(110,118),(111,118),(112,118),(113,118),(114,118),(115,118),(116,118),(117,118)],119)=>19 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,22),(1,23),(1,24),(1,25),(1,26),(1,27),(1,32),(1,33),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,31),(2,33),(3,10),(3,11),(3,12),(3,13),(3,14),(3,15),(3,31),(3,32),(4,11),(4,17),(4,23),(4,30),(4,63),(4,65),(5,10),(5,16),(5,22),(5,30),(5,62),(5,64),(6,12),(6,18),(6,24),(6,29),(6,62),(6,65),(7,13),(7,19),(7,25),(7,29),(7,63),(7,64),(8,15),(8,21),(8,27),(8,28),(8,64),(8,65),(9,14),(9,20),(9,26),(9,28),(9,62),(9,63),(10,35),(10,44),(10,50),(10,81),(10,83),(11,35),(11,45),(11,51),(11,82),(11,84),(12,36),(12,46),(12,52),(12,81),(12,84),(13,36),(13,47),(13,53),(13,82),(13,83),(14,37),(14,48),(14,54),(14,81),(14,82),(15,37),(15,49),(15,55),(15,83),(15,84),(16,38),(16,44),(16,56),(16,85),(16,87),(17,38),(17,45),(17,57),(17,86),(17,88),(18,39),(18,46),(18,58),(18,85),(18,88),(19,39),(19,47),(19,59),(19,86),(19,87),(20,40),(20,48),(20,60),(20,85),(20,86),(21,40),(21,49),(21,61),(21,87),(21,88),(22,41),(22,50),(22,56),(22,89),(22,91),(23,41),(23,51),(23,57),(23,90),(23,92),(24,42),(24,52),(24,58),(24,89),(24,92),(25,42),(25,53),(25,59),(25,90),(25,91),(26,43),(26,54),(26,60),(26,89),(26,90),(27,43),(27,55),(27,61),(27,91),(27,92),(28,37),(28,40),(28,43),(28,112),(29,36),(29,39),(29,42),(29,112),(30,35),(30,38),(30,41),(30,112),(31,34),(31,44),(31,45),(31,46),(31,47),(31,48),(31,49),(32,34),(32,50),(32,51),(32,52),(32,53),(32,54),(32,55),(33,34),(33,56),(33,57),(33,58),(33,59),(33,60),(33,61),(34,75),(34,76),(34,77),(34,78),(34,79),(34,80),(35,66),(35,69),(35,113),(36,67),(36,70),(36,113),(37,68),(37,71),(37,113),(38,66),(38,72),(38,114),(39,67),(39,73),(39,114),(40,68),(40,74),(40,114),(41,69),(41,72),(41,115),(42,70),(42,73),(42,115),(43,71),(43,74),(43,115),(44,66),(44,75),(44,101),(44,103),(45,66),(45,76),(45,102),(45,104),(46,67),(46,77),(46,101),(46,104),(47,67),(47,78),(47,102),(47,103),(48,68),(48,79),(48,101),(48,102),(49,68),(49,80),(49,103),(49,104),(50,69),(50,75),(50,93),(50,95),(51,69),(51,76),(51,94),(51,96),(52,70),(52,77),(52,93),(52,96),(53,70),(53,78),(53,94),(53,95),(54,71),(54,79),(54,93),(54,94),(55,71),(55,80),(55,95),(55,96),(56,72),(56,75),(56,97),(56,99),(57,72),(57,76),(57,98),(57,100),(58,73),(58,77),(58,97),(58,100),(59,73),(59,78),(59,98),(59,99),(60,74),(60,79),(60,97),(60,98),(61,74),(61,80),(61,99),(61,100),(62,81),(62,85),(62,89),(62,112),(63,82),(63,86),(63,90),(63,112),(64,83),(64,87),(64,91),(64,112),(65,84),(65,88),(65,92),(65,112),(66,105),(66,118),(67,106),(67,118),(68,107),(68,118),(69,105),(69,116),(70,106),(70,116),(71,107),(71,116),(72,105),(72,117),(73,106),(73,117),(74,107),(74,117),(75,105),(75,108),(75,110),(76,105),(76,109),(76,111),(77,106),(77,108),(77,111),(78,106),(78,109),(78,110),(79,107),(79,108),(79,109),(80,107),(80,110),(80,111),(81,93),(81,101),(81,113),(82,94),(82,102),(82,113),(83,95),(83,103),(83,113),(84,96),(84,104),(84,113),(85,97),(85,101),(85,114),(86,98),(86,102),(86,114),(87,99),(87,103),(87,114),(88,100),(88,104),(88,114),(89,93),(89,97),(89,115),(90,94),(90,98),(90,115),(91,95),(91,99),(91,115),(92,96),(92,100),(92,115),(93,108),(93,116),(94,109),(94,116),(95,110),(95,116),(96,111),(96,116),(97,108),(97,117),(98,109),(98,117),(99,110),(99,117),(100,111),(100,117),(101,108),(101,118),(102,109),(102,118),(103,110),(103,118),(104,111),(104,118),(105,119),(106,119),(107,119),(108,119),(109,119),(110,119),(111,119),(112,113),(112,114),(112,115),(113,116),(113,118),(114,117),(114,118),(115,116),(115,117),(116,119),(117,119),(118,119)],120)=>96 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,11),(1,16),(1,17),(1,18),(1,19),(1,70),(1,71),(2,11),(2,12),(2,13),(2,14),(2,15),(2,68),(2,69),(3,13),(3,21),(3,28),(3,29),(3,30),(3,31),(3,41),(3,71),(4,12),(4,21),(4,24),(4,25),(4,26),(4,27),(4,40),(4,70),(5,14),(5,20),(5,32),(5,33),(5,34),(5,35),(5,40),(5,71),(6,15),(6,20),(6,36),(6,37),(6,38),(6,39),(6,41),(6,70),(7,17),(7,23),(7,25),(7,29),(7,33),(7,37),(7,43),(7,69),(8,16),(8,23),(8,24),(8,28),(8,32),(8,36),(8,42),(8,68),(9,18),(9,22),(9,26),(9,30),(9,34),(9,38),(9,42),(9,69),(10,19),(10,22),(10,27),(10,31),(10,35),(10,39),(10,43),(10,68),(11,72),(11,73),(11,74),(11,75),(12,44),(12,64),(12,72),(12,76),(12,77),(13,44),(13,65),(13,73),(13,78),(13,79),(14,45),(14,64),(14,73),(14,80),(14,81),(15,45),(15,65),(15,72),(15,82),(15,83),(16,46),(16,66),(16,74),(16,84),(16,88),(17,46),(17,67),(17,75),(17,85),(17,89),(18,47),(18,66),(18,75),(18,86),(18,90),(19,47),(19,67),(19,74),(19,87),(19,91),(20,45),(20,106),(20,107),(20,109),(21,44),(21,104),(21,105),(21,109),(22,47),(22,105),(22,107),(22,108),(23,46),(23,104),(23,106),(23,108),(24,48),(24,56),(24,76),(24,84),(24,104),(25,49),(25,57),(25,77),(25,85),(25,104),(26,48),(26,58),(26,77),(26,86),(26,105),(27,49),(27,59),(27,76),(27,87),(27,105),(28,50),(28,60),(28,78),(28,88),(28,104),(29,51),(29,61),(29,79),(29,89),(29,104),(30,50),(30,62),(30,79),(30,90),(30,105),(31,51),(31,63),(31,78),(31,91),(31,105),(32,52),(32,56),(32,80),(32,88),(32,106),(33,53),(33,57),(33,81),(33,89),(33,106),(34,52),(34,58),(34,81),(34,90),(34,107),(35,53),(35,59),(35,80),(35,91),(35,107),(36,54),(36,60),(36,82),(36,84),(36,106),(37,55),(37,61),(37,83),(37,85),(37,106),(38,54),(38,62),(38,83),(38,86),(38,107),(39,55),(39,63),(39,82),(39,87),(39,107),(40,56),(40,57),(40,58),(40,59),(40,64),(40,109),(41,60),(41,61),(41,62),(41,63),(41,65),(41,109),(42,48),(42,50),(42,52),(42,54),(42,66),(42,108),(43,49),(43,51),(43,53),(43,55),(43,67),(43,108),(44,114),(44,116),(45,114),(45,117),(46,115),(46,118),(47,115),(47,119),(48,92),(48,100),(48,116),(49,93),(49,101),(49,116),(50,94),(50,102),(50,116),(51,95),(51,103),(51,116),(52,92),(52,102),(52,117),(53,93),(53,103),(53,117),(54,94),(54,100),(54,117),(55,95),(55,101),(55,117),(56,92),(56,96),(56,118),(57,93),(57,97),(57,118),(58,92),(58,97),(58,119),(59,93),(59,96),(59,119),(60,94),(60,98),(60,118),(61,95),(61,99),(61,118),(62,94),(62,99),(62,119),(63,95),(63,98),(63,119),(64,96),(64,97),(64,114),(65,98),(65,99),(65,114),(66,100),(66,102),(66,115),(67,101),(67,103),(67,115),(68,74),(68,76),(68,78),(68,80),(68,82),(68,108),(69,75),(69,77),(69,79),(69,81),(69,83),(69,108),(70,72),(70,84),(70,85),(70,86),(70,87),(70,109),(71,73),(71,88),(71,89),(71,90),(71,91),(71,109),(72,110),(72,111),(72,114),(73,112),(73,113),(73,114),(74,110),(74,112),(74,115),(75,111),(75,113),(75,115),(76,96),(76,110),(76,116),(77,97),(77,111),(77,116),(78,98),(78,112),(78,116),(79,99),(79,113),(79,116),(80,96),(80,112),(80,117),(81,97),(81,113),(81,117),(82,98),(82,110),(82,117),(83,99),(83,111),(83,117),(84,100),(84,110),(84,118),(85,101),(85,111),(85,118),(86,100),(86,111),(86,119),(87,101),(87,110),(87,119),(88,102),(88,112),(88,118),(89,103),(89,113),(89,118),(90,102),(90,113),(90,119),(91,103),(91,112),(91,119),(92,120),(93,120),(94,120),(95,120),(96,120),(97,120),(98,120),(99,120),(100,120),(101,120),(102,120),(103,120),(104,116),(104,118),(105,116),(105,119),(106,117),(106,118),(107,117),(107,119),(108,115),(108,116),(108,117),(109,114),(109,118),(109,119),(110,120),(111,120),(112,120),(113,120),(114,120),(115,120),(116,120),(117,120),(118,120),(119,120)],121)=>16 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,16),(1,17),(1,18),(1,34),(1,35),(1,40),(1,41),(1,42),(1,43),(2,14),(2,15),(2,18),(2,32),(2,33),(2,36),(2,37),(2,38),(2,39),(3,12),(3,21),(3,23),(3,27),(3,31),(3,37),(3,41),(3,79),(4,12),(4,20),(4,22),(4,26),(4,30),(4,36),(4,40),(4,78),(5,13),(5,20),(5,24),(5,28),(5,31),(5,38),(5,42),(5,76),(6,13),(6,21),(6,25),(6,29),(6,30),(6,39),(6,43),(6,77),(7,19),(7,28),(7,29),(7,33),(7,35),(7,78),(7,79),(8,19),(8,26),(8,27),(8,32),(8,34),(8,76),(8,77),(9,11),(9,14),(9,16),(9,22),(9,25),(9,76),(9,79),(10,11),(10,15),(10,17),(10,23),(10,24),(10,77),(10,78),(11,105),(11,106),(11,107),(12,44),(12,106),(12,108),(12,111),(13,45),(13,105),(13,108),(13,112),(14,60),(14,63),(14,89),(14,92),(14,107),(15,61),(15,62),(15,90),(15,91),(15,107),(16,64),(16,67),(16,93),(16,96),(16,107),(17,65),(17,66),(17,94),(17,95),(17,107),(18,46),(18,47),(18,107),(18,111),(18,112),(19,48),(19,49),(19,109),(19,110),(20,68),(20,70),(20,85),(20,87),(20,108),(21,69),(21,71),(21,86),(21,88),(21,108),(22,50),(22,60),(22,64),(22,85),(22,106),(23,51),(23,61),(23,65),(23,86),(23,106),(24,51),(24,62),(24,66),(24,87),(24,105),(25,50),(25,63),(25,67),(25,88),(25,105),(26,44),(26,52),(26,56),(26,85),(26,109),(27,44),(27,53),(27,57),(27,86),(27,110),(28,45),(28,54),(28,58),(28,87),(28,110),(29,45),(29,55),(29,59),(29,88),(29,109),(30,50),(30,72),(30,74),(30,108),(30,109),(31,51),(31,73),(31,75),(31,108),(31,110),(32,46),(32,48),(32,52),(32,53),(32,89),(32,90),(33,47),(33,48),(33,54),(33,55),(33,91),(33,92),(34,46),(34,49),(34,56),(34,57),(34,93),(34,94),(35,47),(35,49),(35,58),(35,59),(35,95),(35,96),(36,52),(36,60),(36,68),(36,72),(36,91),(36,111),(37,53),(37,61),(37,69),(37,73),(37,92),(37,111),(38,54),(38,62),(38,68),(38,73),(38,89),(38,112),(39,55),(39,63),(39,69),(39,72),(39,90),(39,112),(40,56),(40,64),(40,70),(40,74),(40,95),(40,111),(41,57),(41,65),(41,71),(41,75),(41,96),(41,111),(42,58),(42,66),(42,70),(42,75),(42,93),(42,112),(43,59),(43,67),(43,71),(43,74),(43,94),(43,112),(44,113),(44,122),(45,114),(45,122),(46,84),(46,113),(46,120),(47,84),(47,114),(47,121),(48,84),(48,115),(48,116),(49,84),(49,117),(49,118),(50,80),(50,82),(50,122),(51,81),(51,83),(51,122),(52,97),(52,113),(52,115),(53,98),(53,113),(53,116),(54,99),(54,114),(54,116),(55,100),(55,114),(55,115),(56,101),(56,113),(56,117),(57,102),(57,113),(57,118),(58,103),(58,114),(58,118),(59,104),(59,114),(59,117),(60,80),(60,97),(60,121),(61,81),(61,98),(61,121),(62,81),(62,99),(62,120),(63,80),(63,100),(63,120),(64,82),(64,101),(64,121),(65,83),(65,102),(65,121),(66,83),(66,103),(66,120),(67,82),(67,104),(67,120),(68,97),(68,99),(68,119),(69,98),(69,100),(69,119),(70,101),(70,103),(70,119),(71,102),(71,104),(71,119),(72,80),(72,115),(72,119),(73,81),(73,116),(73,119),(74,82),(74,117),(74,119),(75,83),(75,118),(75,119),(76,85),(76,89),(76,93),(76,105),(76,110),(77,86),(77,90),(77,94),(77,105),(77,109),(78,87),(78,91),(78,95),(78,106),(78,109),(79,88),(79,92),(79,96),(79,106),(79,110),(80,123),(81,123),(82,123),(83,123),(84,123),(85,97),(85,101),(85,122),(86,98),(86,102),(86,122),(87,99),(87,103),(87,122),(88,100),(88,104),(88,122),(89,97),(89,116),(89,120),(90,98),(90,115),(90,120),(91,99),(91,115),(91,121),(92,100),(92,116),(92,121),(93,101),(93,118),(93,120),(94,102),(94,117),(94,120),(95,103),(95,117),(95,121),(96,104),(96,118),(96,121),(97,123),(98,123),(99,123),(100,123),(101,123),(102,123),(103,123),(104,123),(105,120),(105,122),(106,121),(106,122),(107,120),(107,121),(108,119),(108,122),(109,115),(109,117),(109,122),(110,116),(110,118),(110,122),(111,113),(111,119),(111,121),(112,114),(112,119),(112,120),(113,123),(114,123),(115,123),(116,123),(117,123),(118,123),(119,123),(120,123),(121,123),(122,123)],124)=>16 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,12),(1,13),(1,64),(1,65),(1,66),(1,67),(2,15),(2,24),(2,28),(2,32),(2,36),(2,42),(2,65),(2,71),(3,14),(3,23),(3,27),(3,31),(3,35),(3,42),(3,64),(3,70),(4,17),(4,26),(4,30),(4,33),(4,37),(4,41),(4,64),(4,71),(5,16),(5,25),(5,29),(5,34),(5,38),(5,41),(5,65),(5,70),(6,19),(6,27),(6,28),(6,29),(6,30),(6,40),(6,67),(6,69),(7,18),(7,23),(7,24),(7,25),(7,26),(7,40),(7,66),(7,68),(8,21),(8,35),(8,36),(8,37),(8,38),(8,39),(8,66),(8,69),(9,20),(9,31),(9,32),(9,33),(9,34),(9,39),(9,67),(9,68),(10,13),(10,18),(10,19),(10,20),(10,21),(10,22),(10,70),(10,71),(11,12),(11,14),(11,15),(11,16),(11,17),(11,22),(11,68),(11,69),(12,43),(12,76),(12,77),(12,116),(13,43),(13,78),(13,79),(13,117),(14,60),(14,72),(14,76),(14,80),(14,84),(15,60),(15,73),(15,77),(15,81),(15,85),(16,61),(16,72),(16,77),(16,82),(16,86),(17,61),(17,73),(17,76),(17,83),(17,87),(18,62),(18,74),(18,78),(18,88),(18,89),(19,62),(19,75),(19,79),(19,90),(19,91),(20,63),(20,74),(20,79),(20,92),(20,93),(21,63),(21,75),(21,78),(21,94),(21,95),(22,43),(22,72),(22,73),(22,74),(22,75),(23,44),(23,52),(23,80),(23,88),(23,108),(24,45),(24,52),(24,81),(24,89),(24,109),(25,47),(25,53),(25,82),(25,88),(25,109),(26,46),(26,53),(26,83),(26,89),(26,108),(27,44),(27,54),(27,84),(27,90),(27,110),(28,45),(28,54),(28,85),(28,91),(28,111),(29,47),(29,55),(29,86),(29,90),(29,111),(30,46),(30,55),(30,87),(30,91),(30,110),(31,48),(31,58),(31,80),(31,92),(31,110),(32,49),(32,58),(32,81),(32,93),(32,111),(33,50),(33,59),(33,83),(33,93),(33,110),(34,51),(34,59),(34,82),(34,92),(34,111),(35,48),(35,56),(35,84),(35,94),(35,108),(36,49),(36,56),(36,85),(36,95),(36,109),(37,50),(37,57),(37,87),(37,95),(37,108),(38,51),(38,57),(38,86),(38,94),(38,109),(39,48),(39,49),(39,50),(39,51),(39,63),(39,116),(40,44),(40,45),(40,46),(40,47),(40,62),(40,116),(41,53),(41,55),(41,57),(41,59),(41,61),(41,117),(42,52),(42,54),(42,56),(42,58),(42,60),(42,117),(43,118),(43,119),(44,96),(44,104),(44,120),(45,96),(45,105),(45,121),(46,97),(46,105),(46,120),(47,97),(47,104),(47,121),(48,98),(48,106),(48,120),(49,98),(49,107),(49,121),(50,99),(50,107),(50,120),(51,99),(51,106),(51,121),(52,96),(52,100),(52,122),(53,97),(53,101),(53,122),(54,96),(54,102),(54,123),(55,97),(55,103),(55,123),(56,98),(56,102),(56,122),(57,99),(57,103),(57,122),(58,98),(58,100),(58,123),(59,99),(59,101),(59,123),(60,100),(60,102),(60,118),(61,101),(61,103),(61,118),(62,104),(62,105),(62,119),(63,106),(63,107),(63,119),(64,76),(64,108),(64,110),(64,117),(65,77),(65,109),(65,111),(65,117),(66,78),(66,108),(66,109),(66,116),(67,79),(67,110),(67,111),(67,116),(68,74),(68,80),(68,81),(68,82),(68,83),(68,116),(69,75),(69,84),(69,85),(69,86),(69,87),(69,116),(70,72),(70,88),(70,90),(70,92),(70,94),(70,117),(71,73),(71,89),(71,91),(71,93),(71,95),(71,117),(72,112),(72,114),(72,118),(73,113),(73,115),(73,118),(74,112),(74,113),(74,119),(75,114),(75,115),(75,119),(76,118),(76,120),(77,118),(77,121),(78,119),(78,122),(79,119),(79,123),(80,100),(80,112),(80,120),(81,100),(81,113),(81,121),(82,101),(82,112),(82,121),(83,101),(83,113),(83,120),(84,102),(84,114),(84,120),(85,102),(85,115),(85,121),(86,103),(86,114),(86,121),(87,103),(87,115),(87,120),(88,104),(88,112),(88,122),(89,105),(89,113),(89,122),(90,104),(90,114),(90,123),(91,105),(91,115),(91,123),(92,106),(92,112),(92,123),(93,107),(93,113),(93,123),(94,106),(94,114),(94,122),(95,107),(95,115),(95,122),(96,124),(97,124),(98,124),(99,124),(100,124),(101,124),(102,124),(103,124),(104,124),(105,124),(106,124),(107,124),(108,120),(108,122),(109,121),(109,122),(110,120),(110,123),(111,121),(111,123),(112,124),(113,124),(114,124),(115,124),(116,119),(116,120),(116,121),(117,118),(117,122),(117,123),(118,124),(119,124),(120,124),(121,124),(122,124),(123,124)],125)=>31 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,14),(1,15),(1,16),(1,32),(1,33),(1,34),(1,35),(1,36),(1,37),(2,22),(2,27),(2,31),(2,35),(2,39),(2,41),(2,43),(2,77),(3,21),(3,26),(3,30),(3,34),(3,38),(3,41),(3,42),(3,76),(4,19),(4,24),(4,28),(4,30),(4,36),(4,39),(4,40),(4,79),(5,20),(5,25),(5,29),(5,31),(5,37),(5,38),(5,40),(5,78),(6,12),(6,15),(6,17),(6,21),(6,23),(6,24),(6,43),(6,78),(7,13),(7,16),(7,18),(7,22),(7,23),(7,25),(7,42),(7,79),(8,12),(8,13),(8,14),(8,28),(8,29),(8,76),(8,77),(9,11),(9,18),(9,19),(9,26),(9,32),(9,77),(9,78),(10,11),(10,17),(10,20),(10,27),(10,33),(10,76),(10,79),(11,65),(11,99),(11,100),(11,107),(12,45),(12,89),(12,109),(12,113),(13,46),(13,90),(13,108),(13,113),(14,57),(14,58),(14,85),(14,86),(14,113),(15,69),(15,74),(15,98),(15,111),(15,113),(16,68),(16,75),(16,97),(16,112),(16,113),(17,71),(17,74),(17,89),(17,96),(17,99),(18,70),(18,75),(18,90),(18,95),(18,100),(19,66),(19,72),(19,91),(19,94),(19,100),(20,67),(20,73),(20,92),(20,93),(20,99),(21,54),(21,59),(21,87),(21,89),(21,111),(22,55),(22,60),(22,88),(22,90),(22,112),(23,59),(23,60),(23,95),(23,96),(23,113),(24,45),(24,62),(24,91),(24,96),(24,111),(25,46),(25,61),(25,92),(25,95),(25,112),(26,49),(26,66),(26,70),(26,87),(26,107),(27,50),(27,67),(27,71),(27,88),(27,107),(28,44),(28,45),(28,57),(28,94),(28,108),(29,44),(29,46),(29,58),(29,93),(29,109),(30,47),(30,52),(30,66),(30,108),(30,111),(31,48),(31,53),(31,67),(31,109),(31,112),(32,49),(32,65),(32,72),(32,75),(32,86),(32,98),(33,50),(33,65),(33,73),(33,74),(33,85),(33,97),(34,49),(34,56),(34,63),(34,68),(34,85),(34,111),(35,50),(35,56),(35,64),(35,69),(35,86),(35,112),(36,51),(36,57),(36,64),(36,72),(36,97),(36,111),(37,51),(37,58),(37,63),(37,73),(37,98),(37,112),(38,47),(38,53),(38,61),(38,63),(38,87),(38,93),(39,48),(39,52),(39,62),(39,64),(39,88),(39,94),(40,44),(40,47),(40,48),(40,51),(40,91),(40,92),(41,52),(41,53),(41,54),(41,55),(41,56),(41,107),(42,55),(42,59),(42,61),(42,68),(42,70),(42,108),(43,54),(43,60),(43,62),(43,69),(43,71),(43,109),(44,82),(44,117),(44,118),(45,118),(45,123),(46,117),(46,124),(47,81),(47,117),(47,119),(48,81),(48,118),(48,120),(49,83),(49,116),(49,119),(50,84),(50,116),(50,120),(51,82),(51,119),(51,120),(52,81),(52,114),(52,122),(53,81),(53,115),(53,121),(54,80),(54,114),(54,121),(55,80),(55,115),(55,122),(56,114),(56,115),(56,116),(57,82),(57,104),(57,123),(58,82),(58,103),(58,124),(59,80),(59,101),(59,123),(60,80),(60,102),(60,124),(61,101),(61,115),(61,117),(62,102),(62,114),(62,118),(63,103),(63,115),(63,119),(64,104),(64,114),(64,120),(65,105),(65,106),(65,116),(66,119),(66,122),(67,120),(67,121),(68,83),(68,115),(68,123),(69,84),(69,114),(69,124),(70,83),(70,101),(70,122),(71,84),(71,102),(71,121),(72,104),(72,106),(72,119),(73,103),(73,105),(73,120),(74,84),(74,105),(74,123),(75,83),(75,106),(75,124),(76,85),(76,89),(76,93),(76,107),(76,108),(77,86),(77,90),(77,94),(77,107),(77,109),(78,87),(78,91),(78,95),(78,98),(78,99),(78,109),(79,88),(79,92),(79,96),(79,97),(79,100),(79,108),(80,125),(81,125),(82,125),(83,125),(84,125),(85,103),(85,116),(85,123),(86,104),(86,116),(86,124),(87,101),(87,119),(87,121),(88,102),(88,120),(88,122),(89,121),(89,123),(90,122),(90,124),(91,110),(91,118),(91,119),(92,110),(92,117),(92,120),(93,103),(93,117),(93,121),(94,104),(94,118),(94,122),(95,101),(95,110),(95,124),(96,102),(96,110),(96,123),(97,106),(97,120),(97,123),(98,105),(98,119),(98,124),(99,105),(99,110),(99,121),(100,106),(100,110),(100,122),(101,125),(102,125),(103,125),(104,125),(105,125),(106,125),(107,116),(107,121),(107,122),(108,117),(108,122),(108,123),(109,118),(109,121),(109,124),(110,125),(111,114),(111,119),(111,123),(112,115),(112,120),(112,124),(113,123),(113,124),(114,125),(115,125),(116,125),(117,125),(118,125),(119,125),(120,125),(121,125),(122,125),(123,125),(124,125)],126)=>16 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,16),(1,20),(1,21),(1,32),(1,35),(1,36),(1,41),(1,42),(1,43),(2,15),(2,18),(2,19),(2,31),(2,33),(2,34),(2,39),(2,40),(2,43),(3,23),(3,25),(3,28),(3,38),(3,40),(3,42),(3,71),(3,75),(4,22),(4,24),(4,27),(4,37),(4,39),(4,41),(4,70),(4,75),(5,17),(5,22),(5,23),(5,26),(5,31),(5,32),(5,72),(5,73),(6,13),(6,24),(6,29),(6,33),(6,35),(6,38),(6,72),(6,74),(7,12),(7,25),(7,30),(7,34),(7,36),(7,37),(7,73),(7,74),(8,12),(8,13),(8,14),(8,17),(8,43),(8,70),(8,71),(9,14),(9,15),(9,16),(9,26),(9,44),(9,74),(9,75),(10,18),(10,20),(10,27),(10,30),(10,44),(10,71),(10,72),(11,19),(11,21),(11,28),(11,29),(11,44),(11,70),(11,73),(12,80),(12,88),(12,94),(12,108),(13,80),(13,87),(13,95),(13,109),(14,45),(14,80),(14,83),(14,117),(15,62),(15,81),(15,83),(15,84),(15,92),(16,63),(16,82),(16,83),(16,85),(16,93),(17,45),(17,91),(17,108),(17,109),(18,58),(18,65),(18,84),(18,96),(18,111),(19,59),(19,64),(19,84),(19,97),(19,110),(20,60),(20,67),(20,85),(20,99),(20,111),(21,61),(21,66),(21,85),(21,98),(21,110),(22,46),(22,48),(22,86),(22,89),(22,108),(23,47),(23,49),(23,86),(23,90),(23,109),(24,50),(24,52),(24,87),(24,89),(24,107),(25,51),(25,53),(25,88),(25,90),(25,107),(26,45),(26,62),(26,63),(26,86),(26,118),(27,58),(27,60),(27,68),(27,89),(27,117),(28,59),(28,61),(28,69),(28,90),(28,117),(29,64),(29,66),(29,69),(29,87),(29,118),(30,65),(30,67),(30,68),(30,88),(30,118),(31,46),(31,47),(31,62),(31,91),(31,96),(31,97),(32,48),(32,49),(32,63),(32,91),(32,98),(32,99),(33,50),(33,55),(33,64),(33,92),(33,95),(33,96),(34,51),(34,54),(34,65),(34,92),(34,94),(34,97),(35,52),(35,57),(35,66),(35,93),(35,95),(35,99),(36,53),(36,56),(36,67),(36,93),(36,94),(36,98),(37,54),(37,56),(37,68),(37,107),(37,108),(38,55),(38,57),(38,69),(38,107),(38,109),(39,46),(39,50),(39,54),(39,58),(39,81),(39,110),(40,47),(40,51),(40,55),(40,59),(40,81),(40,111),(41,48),(41,52),(41,56),(41,60),(41,82),(41,110),(42,49),(42,53),(42,57),(42,61),(42,82),(42,111),(43,83),(43,91),(43,94),(43,95),(43,110),(43,111),(44,84),(44,85),(44,117),(44,118),(45,106),(45,124),(46,100),(46,104),(46,121),(47,101),(47,104),(47,122),(48,102),(48,105),(48,121),(49,103),(49,105),(49,122),(50,100),(50,113),(50,115),(51,101),(51,114),(51,115),(52,102),(52,113),(52,116),(53,103),(53,114),(53,116),(54,76),(54,115),(54,121),(55,77),(55,115),(55,122),(56,78),(56,116),(56,121),(57,79),(57,116),(57,122),(58,76),(58,100),(58,123),(59,77),(59,101),(59,123),(60,78),(60,102),(60,123),(61,79),(61,103),(61,123),(62,104),(62,106),(62,119),(63,105),(63,106),(63,120),(64,77),(64,113),(64,119),(65,76),(65,114),(65,119),(66,79),(66,113),(66,120),(67,78),(67,114),(67,120),(68,76),(68,78),(68,124),(69,77),(69,79),(69,124),(70,87),(70,108),(70,110),(70,117),(71,88),(71,109),(71,111),(71,117),(72,89),(72,96),(72,99),(72,109),(72,118),(73,90),(73,97),(73,98),(73,108),(73,118),(74,80),(74,92),(74,93),(74,107),(74,118),(75,81),(75,82),(75,86),(75,107),(75,117),(76,125),(77,125),(78,125),(79,125),(80,112),(80,124),(81,104),(81,115),(81,123),(82,105),(82,116),(82,123),(83,106),(83,112),(83,123),(84,119),(84,123),(85,120),(85,123),(86,104),(86,105),(86,124),(87,113),(87,124),(88,114),(88,124),(89,100),(89,102),(89,124),(90,101),(90,103),(90,124),(91,106),(91,121),(91,122),(92,112),(92,115),(92,119),(93,112),(93,116),(93,120),(94,112),(94,114),(94,121),(95,112),(95,113),(95,122),(96,100),(96,119),(96,122),(97,101),(97,119),(97,121),(98,103),(98,120),(98,121),(99,102),(99,120),(99,122),(100,125),(101,125),(102,125),(103,125),(104,125),(105,125),(106,125),(107,115),(107,116),(107,124),(108,121),(108,124),(109,122),(109,124),(110,113),(110,121),(110,123),(111,114),(111,122),(111,123),(112,125),(113,125),(114,125),(115,125),(116,125),(117,123),(117,124),(118,119),(118,120),(118,124),(119,125),(120,125),(121,125),(122,125),(123,125),(124,125)],126)=>27 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,16),(1,17),(1,30),(1,31),(1,39),(1,40),(1,41),(1,42),(1,49),(2,14),(2,15),(2,28),(2,29),(2,35),(2,36),(2,37),(2,38),(2,49),(3,19),(3,23),(3,27),(3,34),(3,36),(3,40),(3,74),(3,79),(4,18),(4,22),(4,26),(4,33),(4,35),(4,39),(4,74),(4,78),(5,21),(5,22),(5,24),(5,34),(5,37),(5,41),(5,75),(5,76),(6,20),(6,23),(6,25),(6,33),(6,38),(6,42),(6,75),(6,77),(7,13),(7,20),(7,21),(7,29),(7,31),(7,32),(7,78),(7,79),(8,12),(8,18),(8,19),(8,28),(8,30),(8,32),(8,76),(8,77),(9,14),(9,16),(9,25),(9,26),(9,48),(9,76),(9,79),(10,15),(10,17),(10,24),(10,27),(10,48),(10,77),(10,78),(11,12),(11,13),(11,48),(11,49),(11,74),(11,75),(12,43),(12,84),(12,98),(12,121),(13,43),(13,85),(13,99),(13,122),(14,55),(14,56),(14,86),(14,89),(14,109),(15,54),(15,57),(15,87),(15,88),(15,109),(16,59),(16,60),(16,90),(16,93),(16,109),(17,58),(17,61),(17,91),(17,92),(17,109),(18,62),(18,66),(18,84),(18,94),(18,113),(19,63),(19,67),(19,84),(19,95),(19,114),(20,64),(20,68),(20,85),(20,97),(20,113),(21,65),(21,69),(21,85),(21,96),(21,114),(22,50),(22,52),(22,94),(22,96),(22,110),(23,51),(23,53),(23,95),(23,97),(23,110),(24,54),(24,58),(24,71),(24,96),(24,121),(25,55),(25,59),(25,70),(25,97),(25,121),(26,56),(26,60),(26,70),(26,94),(26,122),(27,57),(27,61),(27,71),(27,95),(27,122),(28,62),(28,63),(28,72),(28,86),(28,87),(28,98),(29,64),(29,65),(29,72),(29,88),(29,89),(29,99),(30,66),(30,67),(30,73),(30,90),(30,91),(30,98),(31,68),(31,69),(31,73),(31,92),(31,93),(31,99),(32,43),(32,72),(32,73),(32,113),(32,114),(33,44),(33,46),(33,70),(33,110),(33,113),(34,45),(34,47),(34,71),(34,110),(34,114),(35,44),(35,50),(35,56),(35,62),(35,88),(35,111),(36,45),(36,51),(36,57),(36,63),(36,89),(36,111),(37,45),(37,50),(37,54),(37,65),(37,86),(37,112),(38,44),(38,51),(38,55),(38,64),(38,87),(38,112),(39,46),(39,52),(39,60),(39,66),(39,92),(39,111),(40,47),(40,53),(40,61),(40,67),(40,93),(40,111),(41,47),(41,52),(41,58),(41,69),(41,90),(41,112),(42,46),(42,53),(42,59),(42,68),(42,91),(42,112),(43,100),(43,126),(44,80),(44,117),(44,123),(45,81),(45,118),(45,123),(46,82),(46,119),(46,123),(47,83),(47,120),(47,123),(48,109),(48,121),(48,122),(49,98),(49,99),(49,109),(49,111),(49,112),(50,101),(50,103),(50,123),(51,102),(51,104),(51,123),(52,105),(52,107),(52,123),(53,106),(53,108),(53,123),(54,81),(54,103),(54,124),(55,80),(55,104),(55,124),(56,80),(56,101),(56,125),(57,81),(57,102),(57,125),(58,83),(58,107),(58,124),(59,82),(59,108),(59,124),(60,82),(60,105),(60,125),(61,83),(61,106),(61,125),(62,101),(62,115),(62,117),(63,102),(63,115),(63,118),(64,104),(64,116),(64,117),(65,103),(65,116),(65,118),(66,105),(66,115),(66,119),(67,106),(67,115),(67,120),(68,108),(68,116),(68,119),(69,107),(69,116),(69,120),(70,80),(70,82),(70,126),(71,81),(71,83),(71,126),(72,100),(72,117),(72,118),(73,100),(73,119),(73,120),(74,84),(74,110),(74,111),(74,122),(75,85),(75,110),(75,112),(75,121),(76,86),(76,90),(76,94),(76,114),(76,121),(77,87),(77,91),(77,95),(77,113),(77,121),(78,88),(78,92),(78,96),(78,113),(78,122),(79,89),(79,93),(79,97),(79,114),(79,122),(80,127),(81,127),(82,127),(83,127),(84,115),(84,126),(85,116),(85,126),(86,101),(86,118),(86,124),(87,102),(87,117),(87,124),(88,103),(88,117),(88,125),(89,104),(89,118),(89,125),(90,105),(90,120),(90,124),(91,106),(91,119),(91,124),(92,107),(92,119),(92,125),(93,108),(93,120),(93,125),(94,101),(94,105),(94,126),(95,102),(95,106),(95,126),(96,103),(96,107),(96,126),(97,104),(97,108),(97,126),(98,100),(98,115),(98,124),(99,100),(99,116),(99,125),(100,127),(101,127),(102,127),(103,127),(104,127),(105,127),(106,127),(107,127),(108,127),(109,124),(109,125),(110,123),(110,126),(111,115),(111,123),(111,125),(112,116),(112,123),(112,124),(113,117),(113,119),(113,126),(114,118),(114,120),(114,126),(115,127),(116,127),(117,127),(118,127),(119,127),(120,127),(121,124),(121,126),(122,125),(122,126),(123,127),(124,127),(125,127),(126,127)],128)=>29 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,14),(1,15),(1,20),(1,21),(1,30),(1,33),(1,38),(1,39),(2,11),(2,13),(2,17),(2,19),(2,29),(2,32),(2,37),(2,39),(3,10),(3,12),(3,16),(3,18),(3,28),(3,31),(3,37),(3,38),(4,12),(4,13),(4,22),(4,23),(4,30),(4,36),(4,41),(4,42),(5,10),(5,14),(5,24),(5,26),(5,29),(5,34),(5,40),(5,41),(6,11),(6,15),(6,25),(6,27),(6,28),(6,35),(6,40),(6,42),(7,18),(7,19),(7,24),(7,25),(7,33),(7,36),(7,44),(7,45),(8,16),(8,20),(8,23),(8,27),(8,32),(8,34),(8,43),(8,44),(9,17),(9,21),(9,22),(9,26),(9,31),(9,35),(9,43),(9,45),(10,64),(10,72),(10,90),(10,104),(10,106),(11,65),(11,73),(11,91),(11,105),(11,107),(12,66),(12,70),(12,88),(12,103),(12,106),(13,67),(13,71),(13,89),(13,103),(13,107),(14,69),(14,74),(14,93),(14,104),(14,108),(15,68),(15,75),(15,92),(15,105),(15,108),(16,52),(16,78),(16,88),(16,104),(16,109),(17,53),(17,79),(17,89),(17,105),(17,110),(18,54),(18,76),(18,90),(18,103),(18,109),(19,55),(19,77),(19,91),(19,103),(19,110),(20,57),(20,80),(20,92),(20,104),(20,111),(21,56),(21,81),(21,93),(21,105),(21,111),(22,58),(22,82),(22,89),(22,106),(22,111),(23,59),(23,83),(23,88),(23,107),(23,111),(24,60),(24,86),(24,90),(24,108),(24,110),(25,61),(25,87),(25,91),(25,108),(25,109),(26,62),(26,84),(26,93),(26,106),(26,110),(27,63),(27,85),(27,92),(27,107),(27,109),(28,49),(28,65),(28,68),(28,70),(28,72),(28,109),(29,50),(29,64),(29,69),(29,71),(29,73),(29,110),(30,51),(30,66),(30,67),(30,74),(30,75),(30,111),(31,49),(31,53),(31,56),(31,76),(31,78),(31,106),(32,50),(32,52),(32,57),(32,77),(32,79),(32,107),(33,51),(33,54),(33,55),(33,80),(33,81),(33,108),(34,50),(34,59),(34,63),(34,84),(34,86),(34,104),(35,49),(35,58),(35,62),(35,85),(35,87),(35,105),(36,51),(36,60),(36,61),(36,82),(36,83),(36,103),(37,48),(37,52),(37,53),(37,64),(37,65),(37,103),(38,48),(38,54),(38,56),(38,66),(38,68),(38,104),(39,48),(39,55),(39,57),(39,67),(39,69),(39,105),(40,47),(40,62),(40,63),(40,72),(40,73),(40,108),(41,47),(41,59),(41,60),(41,71),(41,74),(41,106),(42,47),(42,58),(42,61),(42,70),(42,75),(42,107),(43,46),(43,78),(43,79),(43,84),(43,85),(43,111),(44,46),(44,77),(44,80),(44,83),(44,86),(44,109),(45,46),(45,76),(45,81),(45,82),(45,87),(45,110),(46,118),(46,119),(46,120),(47,115),(47,116),(47,117),(48,112),(48,113),(48,114),(49,114),(49,115),(49,118),(50,113),(50,116),(50,119),(51,112),(51,117),(51,120),(52,97),(52,113),(52,122),(53,97),(53,114),(53,121),(54,98),(54,112),(54,125),(55,99),(55,112),(55,126),(56,98),(56,114),(56,123),(57,99),(57,113),(57,124),(58,101),(58,115),(58,124),(59,100),(59,116),(59,123),(60,100),(60,117),(60,121),(61,101),(61,117),(61,122),(62,102),(62,115),(62,126),(63,102),(63,116),(63,125),(64,94),(64,113),(64,121),(65,94),(65,114),(65,122),(66,95),(66,112),(66,123),(67,96),(67,112),(67,124),(68,95),(68,114),(68,125),(69,96),(69,113),(69,126),(70,95),(70,115),(70,122),(71,96),(71,116),(71,121),(72,94),(72,115),(72,125),(73,94),(73,116),(73,126),(74,96),(74,117),(74,123),(75,95),(75,117),(75,124),(76,98),(76,118),(76,121),(77,99),(77,119),(77,122),(78,97),(78,118),(78,123),(79,97),(79,119),(79,124),(80,99),(80,120),(80,125),(81,98),(81,120),(81,126),(82,101),(82,120),(82,121),(83,100),(83,120),(83,122),(84,102),(84,119),(84,123),(85,102),(85,118),(85,124),(86,100),(86,119),(86,125),(87,101),(87,118),(87,126),(88,122),(88,123),(89,121),(89,124),(90,121),(90,125),(91,122),(91,126),(92,124),(92,125),(93,123),(93,126),(94,127),(95,127),(96,127),(97,127),(98,127),(99,127),(100,127),(101,127),(102,127),(103,112),(103,121),(103,122),(104,113),(104,123),(104,125),(105,114),(105,124),(105,126),(106,115),(106,121),(106,123),(107,116),(107,122),(107,124),(108,117),(108,125),(108,126),(109,118),(109,122),(109,125),(110,119),(110,121),(110,126),(111,120),(111,123),(111,124),(112,127),(113,127),(114,127),(115,127),(116,127),(117,127),(118,127),(119,127),(120,127),(121,127),(122,127),(123,127),(124,127),(125,127),(126,127)],128)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,13),(1,30),(1,31),(1,32),(1,33),(1,34),(1,35),(1,36),(2,17),(2,18),(2,19),(2,28),(2,29),(2,34),(2,69),(3,14),(3,15),(3,16),(3,26),(3,27),(3,33),(3,69),(4,23),(4,24),(4,25),(4,27),(4,29),(4,36),(4,68),(5,20),(5,21),(5,22),(5,26),(5,28),(5,35),(5,68),(6,12),(6,16),(6,19),(6,22),(6,25),(6,32),(6,70),(7,11),(7,15),(7,18),(7,21),(7,24),(7,31),(7,70),(8,10),(8,14),(8,17),(8,20),(8,23),(8,30),(8,70),(9,10),(9,11),(9,12),(9,13),(9,68),(9,69),(10,37),(10,71),(10,87),(10,90),(11,38),(11,71),(11,88),(11,91),(12,39),(12,71),(12,89),(12,92),(13,37),(13,38),(13,39),(13,84),(13,85),(14,44),(14,56),(14,59),(14,87),(14,93),(15,45),(15,57),(15,60),(15,88),(15,93),(16,46),(16,58),(16,61),(16,89),(16,93),(17,47),(17,62),(17,65),(17,87),(17,94),(18,48),(18,63),(18,66),(18,88),(18,94),(19,49),(19,64),(19,67),(19,89),(19,94),(20,50),(20,56),(20,62),(20,90),(20,95),(21,51),(21,57),(21,63),(21,91),(21,95),(22,52),(22,58),(22,64),(22,92),(22,95),(23,53),(23,59),(23,65),(23,90),(23,96),(24,54),(24,60),(24,66),(24,91),(24,96),(25,55),(25,61),(25,67),(25,92),(25,96),(26,40),(26,56),(26,57),(26,58),(26,112),(27,41),(27,59),(27,60),(27,61),(27,112),(28,42),(28,62),(28,63),(28,64),(28,112),(29,43),(29,65),(29,66),(29,67),(29,112),(30,37),(30,44),(30,47),(30,50),(30,53),(30,86),(31,38),(31,45),(31,48),(31,51),(31,54),(31,86),(32,39),(32,46),(32,49),(32,52),(32,55),(32,86),(33,40),(33,41),(33,44),(33,45),(33,46),(33,84),(34,42),(34,43),(34,47),(34,48),(34,49),(34,84),(35,40),(35,42),(35,50),(35,51),(35,52),(35,85),(36,41),(36,43),(36,53),(36,54),(36,55),(36,85),(37,101),(37,104),(37,111),(38,102),(38,105),(38,111),(39,103),(39,106),(39,111),(40,72),(40,73),(40,74),(40,124),(41,75),(41,76),(41,77),(41,124),(42,78),(42,79),(42,80),(42,124),(43,81),(43,82),(43,83),(43,124),(44,72),(44,75),(44,101),(44,107),(45,73),(45,76),(45,102),(45,107),(46,74),(46,77),(46,103),(46,107),(47,78),(47,81),(47,101),(47,108),(48,79),(48,82),(48,102),(48,108),(49,80),(49,83),(49,103),(49,108),(50,72),(50,78),(50,104),(50,109),(51,73),(51,79),(51,105),(51,109),(52,74),(52,80),(52,106),(52,109),(53,75),(53,81),(53,104),(53,110),(54,76),(54,82),(54,105),(54,110),(55,77),(55,83),(55,106),(55,110),(56,72),(56,97),(56,119),(57,73),(57,97),(57,120),(58,74),(58,97),(58,121),(59,75),(59,98),(59,119),(60,76),(60,98),(60,120),(61,77),(61,98),(61,121),(62,78),(62,99),(62,119),(63,79),(63,99),(63,120),(64,80),(64,99),(64,121),(65,81),(65,100),(65,119),(66,82),(66,100),(66,120),(67,83),(67,100),(67,121),(68,85),(68,90),(68,91),(68,92),(68,112),(69,84),(69,87),(69,88),(69,89),(69,112),(70,71),(70,86),(70,93),(70,94),(70,95),(70,96),(71,111),(71,113),(71,114),(72,115),(72,125),(73,115),(73,126),(74,115),(74,127),(75,116),(75,125),(76,116),(76,126),(77,116),(77,127),(78,117),(78,125),(79,117),(79,126),(80,117),(80,127),(81,118),(81,125),(82,118),(82,126),(83,118),(83,127),(84,101),(84,102),(84,103),(84,124),(85,104),(85,105),(85,106),(85,124),(86,107),(86,108),(86,109),(86,110),(86,111),(87,101),(87,113),(87,119),(88,102),(88,113),(88,120),(89,103),(89,113),(89,121),(90,104),(90,114),(90,119),(91,105),(91,114),(91,120),(92,106),(92,114),(92,121),(93,97),(93,98),(93,107),(93,113),(94,99),(94,100),(94,108),(94,113),(95,97),(95,99),(95,109),(95,114),(96,98),(96,100),(96,110),(96,114),(97,115),(97,128),(98,116),(98,128),(99,117),(99,128),(100,118),(100,128),(101,122),(101,125),(102,122),(102,126),(103,122),(103,127),(104,123),(104,125),(105,123),(105,126),(106,123),(106,127),(107,115),(107,116),(107,122),(108,117),(108,118),(108,122),(109,115),(109,117),(109,123),(110,116),(110,118),(110,123),(111,122),(111,123),(112,119),(112,120),(112,121),(112,124),(113,122),(113,128),(114,123),(114,128),(115,129),(116,129),(117,129),(118,129),(119,125),(119,128),(120,126),(120,128),(121,127),(121,128),(122,129),(123,129),(124,125),(124,126),(124,127),(125,129),(126,129),(127,129),(128,129)],130)=>90 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(1,16),(1,19),(1,27),(1,28),(1,33),(1,34),(1,39),(1,40),(2,12),(2,15),(2,18),(2,26),(2,28),(2,30),(2,32),(2,36),(2,38),(3,11),(3,14),(3,17),(3,26),(3,27),(3,29),(3,31),(3,35),(3,37),(4,14),(4,20),(4,22),(4,32),(4,33),(4,41),(4,43),(4,89),(5,15),(5,21),(5,22),(5,31),(5,34),(5,42),(5,44),(5,90),(6,16),(6,20),(6,21),(6,29),(6,30),(6,45),(6,46),(6,91),(7,17),(7,23),(7,25),(7,38),(7,39),(7,42),(7,45),(7,89),(8,18),(8,24),(8,25),(8,37),(8,40),(8,41),(8,46),(8,90),(9,19),(9,23),(9,24),(9,35),(9,36),(9,43),(9,44),(9,91),(10,11),(10,12),(10,13),(10,89),(10,90),(10,91),(11,56),(11,57),(11,99),(11,102),(11,104),(12,56),(12,58),(12,100),(12,103),(12,105),(13,57),(13,58),(13,101),(13,106),(13,107),(14,65),(14,67),(14,99),(14,114),(14,115),(15,66),(15,68),(15,100),(15,114),(15,116),(16,69),(16,70),(16,101),(16,115),(16,116),(17,59),(17,61),(17,99),(17,117),(17,118),(18,60),(18,62),(18,100),(18,117),(18,119),(19,63),(19,64),(19,101),(19,118),(19,119),(20,48),(20,50),(20,84),(20,111),(20,115),(21,48),(21,51),(21,83),(21,112),(21,116),(22,48),(22,52),(22,85),(22,113),(22,114),(23,47),(23,54),(23,87),(23,111),(23,118),(24,47),(24,53),(24,86),(24,112),(24,119),(25,47),(25,55),(25,88),(25,113),(25,117),(26,49),(26,56),(26,79),(26,82),(26,114),(26,117),(27,49),(27,57),(27,77),(27,80),(27,115),(27,118),(28,49),(28,58),(28,78),(28,81),(28,116),(28,119),(29,59),(29,71),(29,79),(29,83),(29,104),(29,115),(30,60),(30,72),(30,79),(30,84),(30,105),(30,116),(31,61),(31,73),(31,77),(31,83),(31,102),(31,114),(32,62),(32,74),(32,78),(32,84),(32,103),(32,114),(33,63),(33,75),(33,78),(33,85),(33,107),(33,115),(34,64),(34,76),(34,77),(34,85),(34,106),(34,116),(35,65),(35,73),(35,82),(35,86),(35,104),(35,118),(36,66),(36,74),(36,82),(36,87),(36,105),(36,119),(37,67),(37,71),(37,80),(37,86),(37,102),(37,117),(38,68),(38,72),(38,81),(38,87),(38,103),(38,117),(39,69),(39,76),(39,81),(39,88),(39,107),(39,118),(40,70),(40,75),(40,80),(40,88),(40,106),(40,119),(41,50),(41,53),(41,62),(41,67),(41,75),(41,113),(42,51),(42,54),(42,61),(42,68),(42,76),(42,113),(43,52),(43,53),(43,63),(43,65),(43,74),(43,111),(44,52),(44,54),(44,64),(44,66),(44,73),(44,112),(45,51),(45,55),(45,59),(45,69),(45,72),(45,111),(46,50),(46,55),(46,60),(46,70),(46,71),(46,112),(47,129),(47,131),(48,129),(48,130),(49,92),(49,130),(49,131),(50,94),(50,127),(50,129),(51,93),(51,128),(51,129),(52,95),(52,126),(52,129),(53,96),(53,125),(53,129),(54,97),(54,124),(54,129),(55,98),(55,123),(55,129),(56,92),(56,110),(56,134),(57,92),(57,108),(57,132),(58,92),(58,109),(58,133),(59,93),(59,123),(59,132),(60,94),(60,123),(60,133),(61,93),(61,124),(61,134),(62,94),(62,125),(62,134),(63,95),(63,125),(63,132),(64,95),(64,124),(64,133),(65,96),(65,126),(65,132),(66,97),(66,126),(66,133),(67,96),(67,127),(67,134),(68,97),(68,128),(68,134),(69,98),(69,128),(69,132),(70,98),(70,127),(70,133),(71,120),(71,123),(71,127),(72,121),(72,123),(72,128),(73,120),(73,124),(73,126),(74,121),(74,125),(74,126),(75,122),(75,125),(75,127),(76,122),(76,124),(76,128),(77,108),(77,124),(77,130),(78,109),(78,125),(78,130),(79,110),(79,123),(79,130),(80,108),(80,127),(80,131),(81,109),(81,128),(81,131),(82,110),(82,126),(82,131),(83,93),(83,120),(83,130),(84,94),(84,121),(84,130),(85,95),(85,122),(85,130),(86,96),(86,120),(86,131),(87,97),(87,121),(87,131),(88,98),(88,122),(88,131),(89,99),(89,103),(89,107),(89,111),(89,113),(90,100),(90,102),(90,106),(90,112),(90,113),(91,101),(91,104),(91,105),(91,111),(91,112),(92,135),(93,135),(94,135),(95,135),(96,135),(97,135),(98,135),(99,132),(99,134),(100,133),(100,134),(101,132),(101,133),(102,108),(102,120),(102,134),(103,109),(103,121),(103,134),(104,110),(104,120),(104,132),(105,110),(105,121),(105,133),(106,108),(106,122),(106,133),(107,109),(107,122),(107,132),(108,135),(109,135),(110,135),(111,121),(111,129),(111,132),(112,120),(112,129),(112,133),(113,122),(113,129),(113,134),(114,126),(114,130),(114,134),(115,127),(115,130),(115,132),(116,128),(116,130),(116,133),(117,123),(117,131),(117,134),(118,124),(118,131),(118,132),(119,125),(119,131),(119,133),(120,135),(121,135),(122,135),(123,135),(124,135),(125,135),(126,135),(127,135),(128,135),(129,135),(130,135),(131,135),(132,135),(133,135),(134,135)],136)=>15 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,18),(1,22),(1,29),(1,36),(1,38),(1,40),(1,42),(1,44),(1,78),(2,17),(2,21),(2,29),(2,35),(2,37),(2,39),(2,41),(2,43),(2,77),(3,14),(3,19),(3,20),(3,32),(3,33),(3,34),(3,37),(3,38),(3,79),(4,15),(4,27),(4,31),(4,33),(4,35),(4,40),(4,80),(4,82),(5,16),(5,28),(5,30),(5,34),(5,36),(5,39),(5,81),(5,82),(6,14),(6,21),(6,22),(6,25),(6,26),(6,45),(6,76),(6,82),(7,23),(7,24),(7,32),(7,41),(7,42),(7,45),(7,80),(7,81),(8,13),(8,16),(8,24),(8,26),(8,27),(8,43),(8,78),(8,79),(9,12),(9,15),(9,23),(9,25),(9,28),(9,44),(9,77),(9,79),(10,12),(10,17),(10,19),(10,30),(10,76),(10,78),(10,80),(11,13),(11,18),(11,20),(11,31),(11,76),(11,77),(11,81),(12,68),(12,101),(12,116),(12,118),(13,69),(13,102),(13,115),(13,119),(14,47),(14,89),(14,90),(14,103),(14,114),(15,53),(15,93),(15,99),(15,101),(15,104),(16,52),(16,94),(16,100),(16,102),(16,105),(17,62),(17,64),(17,91),(17,95),(17,118),(18,63),(18,65),(18,92),(18,96),(18,119),(19,60),(19,62),(19,90),(19,97),(19,116),(20,61),(20,63),(20,90),(20,98),(20,115),(21,56),(21,70),(21,87),(21,114),(21,118),(22,57),(22,71),(22,88),(22,114),(22,119),(23,73),(23,74),(23,101),(23,106),(23,120),(24,72),(24,75),(24,102),(24,106),(24,121),(25,71),(25,74),(25,103),(25,104),(25,118),(26,70),(26,75),(26,103),(26,105),(26,119),(27,66),(27,69),(27,99),(27,105),(27,121),(28,67),(28,68),(28,100),(28,104),(28,120),(29,46),(29,48),(29,49),(29,91),(29,92),(29,114),(30,60),(30,64),(30,68),(30,94),(30,122),(31,61),(31,65),(31,69),(31,93),(31,122),(32,47),(32,54),(32,55),(32,97),(32,98),(32,106),(33,50),(33,59),(33,61),(33,89),(33,97),(33,99),(34,51),(34,58),(34,60),(34,89),(34,98),(34,100),(35,48),(35,50),(35,66),(35,87),(35,93),(35,95),(36,49),(36,51),(36,67),(36,88),(36,94),(36,96),(37,50),(37,54),(37,58),(37,62),(37,114),(37,115),(38,51),(38,55),(38,59),(38,63),(38,114),(38,116),(39,49),(39,52),(39,58),(39,64),(39,87),(39,120),(40,48),(40,53),(40,59),(40,65),(40,88),(40,121),(41,46),(41,54),(41,56),(41,72),(41,95),(41,120),(42,46),(42,55),(42,57),(42,73),(42,96),(42,121),(43,52),(43,66),(43,70),(43,72),(43,91),(43,115),(44,53),(44,67),(44,71),(44,73),(44,92),(44,116),(45,47),(45,56),(45,57),(45,74),(45,75),(45,122),(46,123),(46,126),(46,127),(47,107),(47,123),(47,128),(48,111),(48,126),(48,131),(49,110),(49,127),(49,131),(50,112),(50,124),(50,131),(51,113),(51,125),(51,131),(52,108),(52,110),(52,129),(53,109),(53,111),(53,130),(54,112),(54,123),(54,129),(55,113),(55,123),(55,130),(56,85),(56,123),(56,132),(57,86),(57,123),(57,133),(58,83),(58,129),(58,131),(59,84),(59,130),(59,131),(60,83),(60,125),(60,128),(61,84),(61,124),(61,128),(62,83),(62,112),(62,134),(63,84),(63,113),(63,134),(64,83),(64,110),(64,132),(65,84),(65,111),(65,133),(66,108),(66,124),(66,126),(67,109),(67,125),(67,127),(68,125),(68,132),(69,124),(69,133),(70,85),(70,108),(70,134),(71,86),(71,109),(71,134),(72,85),(72,126),(72,129),(73,86),(73,127),(73,130),(74,86),(74,107),(74,132),(75,85),(75,107),(75,133),(76,90),(76,118),(76,119),(76,122),(77,92),(77,93),(77,115),(77,118),(77,120),(78,91),(78,94),(78,116),(78,119),(78,121),(79,99),(79,100),(79,103),(79,106),(79,115),(79,116),(80,95),(80,97),(80,101),(80,121),(80,122),(81,96),(81,98),(81,102),(81,120),(81,122),(82,87),(82,88),(82,89),(82,104),(82,105),(82,122),(83,135),(84,135),(85,135),(86,135),(87,108),(87,131),(87,132),(88,109),(88,131),(88,133),(89,117),(89,128),(89,131),(90,128),(90,134),(91,110),(91,126),(91,134),(92,111),(92,127),(92,134),(93,111),(93,124),(93,132),(94,110),(94,125),(94,133),(95,112),(95,126),(95,132),(96,113),(96,127),(96,133),(97,112),(97,128),(97,130),(98,113),(98,128),(98,129),(99,117),(99,124),(99,130),(100,117),(100,125),(100,129),(101,130),(101,132),(102,129),(102,133),(103,107),(103,117),(103,134),(104,109),(104,117),(104,132),(105,108),(105,117),(105,133),(106,107),(106,129),(106,130),(107,135),(108,135),(109,135),(110,135),(111,135),(112,135),(113,135),(114,123),(114,131),(114,134),(115,124),(115,129),(115,134),(116,125),(116,130),(116,134),(117,135),(118,132),(118,134),(119,133),(119,134),(120,127),(120,129),(120,132),(121,126),(121,130),(121,133),(122,128),(122,132),(122,133),(123,135),(124,135),(125,135),(126,135),(127,135),(128,135),(129,135),(130,135),(131,135),(132,135),(133,135),(134,135)],136)=>22 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,21),(1,25),(1,26),(1,27),(1,40),(1,41),(1,42),(1,43),(1,44),(1,45),(2,21),(2,22),(2,23),(2,24),(2,34),(2,35),(2,36),(2,37),(2,38),(2,39),(3,14),(3,19),(3,20),(3,30),(3,36),(3,42),(3,78),(3,79),(4,13),(4,16),(4,18),(4,29),(4,35),(4,41),(4,77),(4,79),(5,12),(5,15),(5,17),(5,28),(5,34),(5,40),(5,77),(5,78),(6,12),(6,18),(6,19),(6,31),(6,37),(6,43),(6,80),(6,82),(7,13),(7,17),(7,20),(7,32),(7,38),(7,44),(7,81),(7,82),(8,14),(8,15),(8,16),(8,33),(8,39),(8,45),(8,80),(8,81),(9,22),(9,25),(9,28),(9,31),(9,46),(9,79),(9,81),(10,23),(10,26),(10,29),(10,32),(10,46),(10,78),(10,80),(11,24),(11,27),(11,30),(11,33),(11,46),(11,77),(11,82),(12,50),(12,116),(12,117),(12,119),(13,51),(13,116),(13,118),(13,120),(14,52),(14,117),(14,118),(14,121),(15,65),(15,71),(15,85),(15,88),(15,117),(16,66),(16,72),(16,86),(16,88),(16,118),(17,67),(17,73),(17,85),(17,89),(17,116),(18,68),(18,74),(18,86),(18,90),(18,116),(19,69),(19,75),(19,87),(19,90),(19,117),(20,70),(20,76),(20,87),(20,89),(20,118),(21,47),(21,48),(21,49),(21,119),(21,120),(21,121),(22,47),(22,53),(22,56),(22,83),(22,93),(22,95),(23,48),(23,54),(23,57),(23,83),(23,92),(23,94),(24,49),(24,55),(24,58),(24,83),(24,91),(24,96),(25,47),(25,59),(25,62),(25,84),(25,99),(25,101),(26,48),(26,60),(26,63),(26,84),(26,98),(26,100),(27,49),(27,61),(27,64),(27,84),(27,97),(27,102),(28,50),(28,53),(28,59),(28,85),(28,126),(29,51),(29,54),(29,60),(29,86),(29,126),(30,52),(30,55),(30,61),(30,87),(30,126),(31,50),(31,56),(31,62),(31,90),(31,125),(32,51),(32,57),(32,63),(32,89),(32,125),(33,52),(33,58),(33,64),(33,88),(33,125),(34,53),(34,65),(34,67),(34,91),(34,92),(34,119),(35,54),(35,66),(35,68),(35,91),(35,93),(35,120),(36,55),(36,69),(36,70),(36,92),(36,93),(36,121),(37,56),(37,68),(37,69),(37,94),(37,96),(37,119),(38,57),(38,67),(38,70),(38,95),(38,96),(38,120),(39,58),(39,65),(39,66),(39,94),(39,95),(39,121),(40,59),(40,71),(40,73),(40,97),(40,98),(40,119),(41,60),(41,72),(41,74),(41,97),(41,99),(41,120),(42,61),(42,75),(42,76),(42,98),(42,99),(42,121),(43,62),(43,74),(43,75),(43,100),(43,102),(43,119),(44,63),(44,73),(44,76),(44,101),(44,102),(44,120),(45,64),(45,71),(45,72),(45,100),(45,101),(45,121),(46,83),(46,84),(46,125),(46,126),(47,103),(47,122),(47,132),(48,103),(48,123),(48,131),(49,103),(49,124),(49,133),(50,122),(50,134),(51,123),(51,134),(52,124),(52,134),(53,104),(53,122),(53,127),(54,105),(54,123),(54,127),(55,106),(55,124),(55,127),(56,109),(56,122),(56,128),(57,108),(57,123),(57,128),(58,107),(58,124),(58,128),(59,110),(59,122),(59,129),(60,111),(60,123),(60,129),(61,112),(61,124),(61,129),(62,115),(62,122),(62,130),(63,114),(63,123),(63,130),(64,113),(64,124),(64,130),(65,104),(65,107),(65,131),(66,105),(66,107),(66,132),(67,104),(67,108),(67,133),(68,105),(68,109),(68,133),(69,106),(69,109),(69,131),(70,106),(70,108),(70,132),(71,110),(71,113),(71,131),(72,111),(72,113),(72,132),(73,110),(73,114),(73,133),(74,111),(74,115),(74,133),(75,112),(75,115),(75,131),(76,112),(76,114),(76,132),(77,88),(77,91),(77,97),(77,116),(77,126),(78,89),(78,92),(78,98),(78,117),(78,126),(79,90),(79,93),(79,99),(79,118),(79,126),(80,86),(80,94),(80,100),(80,117),(80,125),(81,85),(81,95),(81,101),(81,118),(81,125),(82,87),(82,96),(82,102),(82,116),(82,125),(83,103),(83,127),(83,128),(84,103),(84,129),(84,130),(85,104),(85,110),(85,134),(86,105),(86,111),(86,134),(87,106),(87,112),(87,134),(88,107),(88,113),(88,134),(89,108),(89,114),(89,134),(90,109),(90,115),(90,134),(91,107),(91,127),(91,133),(92,108),(92,127),(92,131),(93,109),(93,127),(93,132),(94,105),(94,128),(94,131),(95,104),(95,128),(95,132),(96,106),(96,128),(96,133),(97,113),(97,129),(97,133),(98,114),(98,129),(98,131),(99,115),(99,129),(99,132),(100,111),(100,130),(100,131),(101,110),(101,130),(101,132),(102,112),(102,130),(102,133),(103,135),(104,135),(105,135),(106,135),(107,135),(108,135),(109,135),(110,135),(111,135),(112,135),(113,135),(114,135),(115,135),(116,133),(116,134),(117,131),(117,134),(118,132),(118,134),(119,122),(119,131),(119,133),(120,123),(120,132),(120,133),(121,124),(121,131),(121,132),(122,135),(123,135),(124,135),(125,128),(125,130),(125,134),(126,127),(126,129),(126,134),(127,135),(128,135),(129,135),(130,135),(131,135),(132,135),(133,135),(134,135)],136)=>22 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,16),(1,17),(1,27),(1,32),(1,33),(1,34),(1,35),(1,36),(2,14),(2,15),(2,26),(2,28),(2,29),(2,30),(2,31),(2,36),(3,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,72),(4,11),(4,20),(4,21),(4,23),(4,29),(4,33),(4,74),(5,10),(5,18),(5,19),(5,22),(5,28),(5,32),(5,74),(6,13),(6,19),(6,21),(6,25),(6,31),(6,35),(6,73),(7,12),(7,18),(7,20),(7,24),(7,30),(7,34),(7,73),(8,12),(8,13),(8,15),(8,17),(8,72),(8,74),(9,10),(9,11),(9,14),(9,16),(9,72),(9,73),(10,43),(10,47),(10,95),(10,120),(11,44),(11,48),(11,96),(11,120),(12,45),(12,49),(12,97),(12,121),(13,46),(13,50),(13,98),(13,121),(14,37),(14,43),(14,44),(14,99),(14,101),(15,38),(15,45),(15,46),(15,99),(15,102),(16,37),(16,47),(16,48),(16,100),(16,103),(17,38),(17,49),(17,50),(17,100),(17,104),(18,39),(18,51),(18,55),(18,95),(18,97),(19,40),(19,52),(19,56),(19,95),(19,98),(20,41),(20,53),(20,57),(20,96),(20,97),(21,42),(21,54),(21,58),(21,96),(21,98),(22,39),(22,40),(22,59),(22,63),(22,120),(23,41),(23,42),(23,60),(23,64),(23,120),(24,39),(24,41),(24,61),(24,65),(24,121),(25,40),(25,42),(25,62),(25,66),(25,121),(26,59),(26,60),(26,61),(26,62),(26,67),(26,99),(27,63),(27,64),(27,65),(27,66),(27,67),(27,100),(28,43),(28,51),(28,52),(28,59),(28,68),(28,102),(29,44),(29,53),(29,54),(29,60),(29,69),(29,102),(30,45),(30,51),(30,53),(30,61),(30,70),(30,101),(31,46),(31,52),(31,54),(31,62),(31,71),(31,101),(32,47),(32,55),(32,56),(32,63),(32,68),(32,104),(33,48),(33,57),(33,58),(33,64),(33,69),(33,104),(34,49),(34,55),(34,57),(34,65),(34,70),(34,103),(35,50),(35,56),(35,58),(35,66),(35,71),(35,103),(36,37),(36,38),(36,67),(36,68),(36,69),(36,70),(36,71),(37,87),(37,88),(37,105),(37,106),(38,89),(38,90),(38,105),(38,107),(39,75),(39,79),(39,132),(40,76),(40,80),(40,132),(41,77),(41,81),(41,132),(42,78),(42,82),(42,132),(43,87),(43,108),(43,126),(44,88),(44,109),(44,126),(45,89),(45,110),(45,127),(46,90),(46,111),(46,127),(47,87),(47,112),(47,128),(48,88),(48,113),(48,128),(49,89),(49,114),(49,129),(50,90),(50,115),(50,129),(51,75),(51,91),(51,108),(51,110),(52,76),(52,92),(52,108),(52,111),(53,77),(53,93),(53,109),(53,110),(54,78),(54,94),(54,109),(54,111),(55,79),(55,91),(55,112),(55,114),(56,80),(56,92),(56,112),(56,115),(57,81),(57,93),(57,113),(57,114),(58,82),(58,94),(58,113),(58,115),(59,75),(59,76),(59,83),(59,126),(60,77),(60,78),(60,84),(60,126),(61,75),(61,77),(61,85),(61,127),(62,76),(62,78),(62,86),(62,127),(63,79),(63,80),(63,83),(63,128),(64,81),(64,82),(64,84),(64,128),(65,79),(65,81),(65,85),(65,129),(66,80),(66,82),(66,86),(66,129),(67,83),(67,84),(67,85),(67,86),(67,105),(68,83),(68,87),(68,91),(68,92),(68,107),(69,84),(69,88),(69,93),(69,94),(69,107),(70,85),(70,89),(70,91),(70,93),(70,106),(71,86),(71,90),(71,92),(71,94),(71,106),(72,99),(72,100),(72,120),(72,121),(73,95),(73,96),(73,101),(73,103),(73,121),(74,97),(74,98),(74,102),(74,104),(74,120),(75,116),(75,133),(76,117),(76,133),(77,118),(77,133),(78,119),(78,133),(79,116),(79,134),(80,117),(80,134),(81,118),(81,134),(82,119),(82,134),(83,116),(83,117),(83,130),(84,118),(84,119),(84,130),(85,116),(85,118),(85,131),(86,117),(86,119),(86,131),(87,122),(87,130),(88,123),(88,130),(89,124),(89,131),(90,125),(90,131),(91,116),(91,122),(91,124),(92,117),(92,122),(92,125),(93,118),(93,123),(93,124),(94,119),(94,123),(94,125),(95,108),(95,112),(95,132),(96,109),(96,113),(96,132),(97,110),(97,114),(97,132),(98,111),(98,115),(98,132),(99,105),(99,126),(99,127),(100,105),(100,128),(100,129),(101,106),(101,108),(101,109),(101,127),(102,107),(102,110),(102,111),(102,126),(103,106),(103,112),(103,113),(103,129),(104,107),(104,114),(104,115),(104,128),(105,130),(105,131),(106,122),(106,123),(106,131),(107,124),(107,125),(107,130),(108,122),(108,133),(109,123),(109,133),(110,124),(110,133),(111,125),(111,133),(112,122),(112,134),(113,123),(113,134),(114,124),(114,134),(115,125),(115,134),(116,135),(117,135),(118,135),(119,135),(120,126),(120,128),(120,132),(121,127),(121,129),(121,132),(122,135),(123,135),(124,135),(125,135),(126,130),(126,133),(127,131),(127,133),(128,130),(128,134),(129,131),(129,134),(130,135),(131,135),(132,133),(132,134),(133,135),(134,135)],136)=>56 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,11),(1,30),(1,31),(1,32),(1,33),(1,34),(1,35),(1,36),(2,10),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,36),(3,13),(3,17),(3,22),(3,23),(3,25),(3,31),(3,78),(4,12),(4,16),(4,20),(4,21),(4,24),(4,30),(4,78),(5,15),(5,19),(5,21),(5,23),(5,27),(5,33),(5,77),(6,14),(6,18),(6,20),(6,22),(6,26),(6,32),(6,77),(7,16),(7,17),(7,18),(7,19),(7,29),(7,35),(7,76),(8,12),(8,13),(8,14),(8,15),(8,28),(8,34),(8,76),(9,10),(9,11),(9,76),(9,77),(9,78),(10,37),(10,79),(10,80),(10,81),(11,37),(11,82),(11,83),(11,84),(12,44),(12,56),(12,68),(12,69),(12,125),(13,45),(13,57),(13,70),(13,71),(13,125),(14,46),(14,58),(14,68),(14,70),(14,126),(15,47),(15,59),(15,69),(15,71),(15,126),(16,48),(16,60),(16,72),(16,73),(16,125),(17,49),(17,61),(17,74),(17,75),(17,125),(18,50),(18,62),(18,72),(18,74),(18,126),(19,51),(19,63),(19,73),(19,75),(19,126),(20,52),(20,64),(20,68),(20,72),(20,124),(21,53),(21,65),(21,69),(21,73),(21,124),(22,54),(22,66),(22,70),(22,74),(22,124),(23,55),(23,67),(23,71),(23,75),(23,124),(24,38),(24,44),(24,48),(24,52),(24,53),(24,79),(25,39),(25,45),(25,49),(25,54),(25,55),(25,79),(26,40),(26,46),(26,50),(26,52),(26,54),(26,80),(27,41),(27,47),(27,51),(27,53),(27,55),(27,80),(28,42),(28,44),(28,45),(28,46),(28,47),(28,81),(29,43),(29,48),(29,49),(29,50),(29,51),(29,81),(30,38),(30,56),(30,60),(30,64),(30,65),(30,82),(31,39),(31,57),(31,61),(31,66),(31,67),(31,82),(32,40),(32,58),(32,62),(32,64),(32,66),(32,83),(33,41),(33,59),(33,63),(33,65),(33,67),(33,83),(34,42),(34,56),(34,57),(34,58),(34,59),(34,84),(35,43),(35,60),(35,61),(35,62),(35,63),(35,84),(36,37),(36,38),(36,39),(36,40),(36,41),(36,42),(36,43),(37,113),(37,114),(37,115),(38,101),(38,105),(38,109),(38,110),(38,113),(39,102),(39,106),(39,111),(39,112),(39,113),(40,103),(40,107),(40,109),(40,111),(40,114),(41,104),(41,108),(41,110),(41,112),(41,114),(42,101),(42,102),(42,103),(42,104),(42,115),(43,105),(43,106),(43,107),(43,108),(43,115),(44,85),(44,86),(44,101),(44,128),(45,87),(45,88),(45,102),(45,128),(46,85),(46,87),(46,103),(46,129),(47,86),(47,88),(47,104),(47,129),(48,89),(48,90),(48,105),(48,128),(49,91),(49,92),(49,106),(49,128),(50,89),(50,91),(50,107),(50,129),(51,90),(51,92),(51,108),(51,129),(52,85),(52,89),(52,109),(52,127),(53,86),(53,90),(53,110),(53,127),(54,87),(54,91),(54,111),(54,127),(55,88),(55,92),(55,112),(55,127),(56,93),(56,94),(56,101),(56,131),(57,95),(57,96),(57,102),(57,131),(58,93),(58,95),(58,103),(58,132),(59,94),(59,96),(59,104),(59,132),(60,97),(60,98),(60,105),(60,131),(61,99),(61,100),(61,106),(61,131),(62,97),(62,99),(62,107),(62,132),(63,98),(63,100),(63,108),(63,132),(64,93),(64,97),(64,109),(64,130),(65,94),(65,98),(65,110),(65,130),(66,95),(66,99),(66,111),(66,130),(67,96),(67,100),(67,112),(67,130),(68,85),(68,93),(68,136),(69,86),(69,94),(69,136),(70,87),(70,95),(70,136),(71,88),(71,96),(71,136),(72,89),(72,97),(72,136),(73,90),(73,98),(73,136),(74,91),(74,99),(74,136),(75,92),(75,100),(75,136),(76,81),(76,84),(76,125),(76,126),(77,80),(77,83),(77,124),(77,126),(78,79),(78,82),(78,124),(78,125),(79,113),(79,127),(79,128),(80,114),(80,127),(80,129),(81,115),(81,128),(81,129),(82,113),(82,130),(82,131),(83,114),(83,130),(83,132),(84,115),(84,131),(84,132),(85,116),(85,137),(86,117),(86,137),(87,118),(87,137),(88,119),(88,137),(89,120),(89,137),(90,121),(90,137),(91,122),(91,137),(92,123),(92,137),(93,116),(93,138),(94,117),(94,138),(95,118),(95,138),(96,119),(96,138),(97,120),(97,138),(98,121),(98,138),(99,122),(99,138),(100,123),(100,138),(101,116),(101,117),(101,134),(102,118),(102,119),(102,134),(103,116),(103,118),(103,135),(104,117),(104,119),(104,135),(105,120),(105,121),(105,134),(106,122),(106,123),(106,134),(107,120),(107,122),(107,135),(108,121),(108,123),(108,135),(109,116),(109,120),(109,133),(110,117),(110,121),(110,133),(111,118),(111,122),(111,133),(112,119),(112,123),(112,133),(113,133),(113,134),(114,133),(114,135),(115,134),(115,135),(116,139),(117,139),(118,139),(119,139),(120,139),(121,139),(122,139),(123,139),(124,127),(124,130),(124,136),(125,128),(125,131),(125,136),(126,129),(126,132),(126,136),(127,133),(127,137),(128,134),(128,137),(129,135),(129,137),(130,133),(130,138),(131,134),(131,138),(132,135),(132,138),(133,139),(134,139),(135,139),(136,137),(136,138),(137,139),(138,139)],140)=>60 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,19),(1,20),(1,21),(1,40),(1,41),(1,42),(1,43),(1,44),(1,45),(1,46),(2,16),(2,17),(2,18),(2,34),(2,35),(2,36),(2,37),(2,38),(2,39),(2,46),(3,15),(3,18),(3,21),(3,30),(3,33),(3,76),(3,79),(3,80),(4,14),(4,17),(4,20),(4,29),(4,32),(4,75),(4,78),(4,80),(5,13),(5,16),(5,19),(5,28),(5,31),(5,74),(5,77),(5,80),(6,23),(6,26),(6,28),(6,34),(6,40),(6,71),(6,75),(6,76),(7,22),(7,27),(7,29),(7,35),(7,41),(7,72),(7,74),(7,76),(8,24),(8,25),(8,30),(8,36),(8,42),(8,73),(8,74),(8,75),(9,25),(9,27),(9,31),(9,37),(9,43),(9,71),(9,78),(9,79),(10,24),(10,26),(10,32),(10,38),(10,44),(10,72),(10,77),(10,79),(11,22),(11,23),(11,33),(11,39),(11,45),(11,73),(11,77),(11,78),(12,13),(12,14),(12,15),(12,46),(12,71),(12,72),(12,73),(13,81),(13,84),(13,99),(13,127),(14,81),(14,85),(14,100),(14,128),(15,81),(15,86),(15,101),(15,129),(16,47),(16,50),(16,82),(16,84),(16,87),(16,90),(17,48),(17,51),(17,82),(17,85),(17,88),(17,91),(18,49),(18,52),(18,82),(18,86),(18,89),(18,92),(19,53),(19,56),(19,83),(19,84),(19,93),(19,96),(20,54),(20,57),(20,83),(20,85),(20,94),(20,97),(21,55),(21,58),(21,83),(21,86),(21,95),(21,98),(22,59),(22,65),(22,103),(22,107),(22,127),(23,60),(23,66),(23,102),(23,107),(23,128),(24,61),(24,67),(24,104),(24,106),(24,127),(25,62),(25,68),(25,104),(25,105),(25,128),(26,63),(26,69),(26,102),(26,106),(26,129),(27,64),(27,70),(27,103),(27,105),(27,129),(28,47),(28,53),(28,99),(28,102),(28,131),(29,48),(29,54),(29,100),(29,103),(29,131),(30,49),(30,55),(30,101),(30,104),(30,131),(31,50),(31,56),(31,99),(31,105),(31,130),(32,51),(32,57),(32,100),(32,106),(32,130),(33,52),(33,58),(33,101),(33,107),(33,130),(34,47),(34,60),(34,63),(34,88),(34,89),(34,120),(35,48),(35,59),(35,64),(35,87),(35,89),(35,121),(36,49),(36,61),(36,62),(36,87),(36,88),(36,122),(37,50),(37,62),(37,64),(37,91),(37,92),(37,120),(38,51),(38,61),(38,63),(38,90),(38,92),(38,121),(39,52),(39,59),(39,60),(39,90),(39,91),(39,122),(40,53),(40,66),(40,69),(40,94),(40,95),(40,120),(41,54),(41,65),(41,70),(41,93),(41,95),(41,121),(42,55),(42,67),(42,68),(42,93),(42,94),(42,122),(43,56),(43,68),(43,70),(43,97),(43,98),(43,120),(44,57),(44,67),(44,69),(44,96),(44,98),(44,121),(45,58),(45,65),(45,66),(45,96),(45,97),(45,122),(46,84),(46,85),(46,86),(46,120),(46,121),(46,122),(47,108),(47,124),(47,132),(48,109),(48,125),(48,132),(49,110),(49,126),(49,132),(50,111),(50,124),(50,133),(51,112),(51,125),(51,133),(52,113),(52,126),(52,133),(53,114),(53,124),(53,134),(54,115),(54,125),(54,134),(55,116),(55,126),(55,134),(56,117),(56,124),(56,135),(57,118),(57,125),(57,135),(58,119),(58,126),(58,135),(59,109),(59,113),(59,136),(60,108),(60,113),(60,137),(61,110),(61,112),(61,136),(62,110),(62,111),(62,137),(63,108),(63,112),(63,138),(64,109),(64,111),(64,138),(65,115),(65,119),(65,136),(66,114),(66,119),(66,137),(67,116),(67,118),(67,136),(68,116),(68,117),(68,137),(69,114),(69,118),(69,138),(70,115),(70,117),(70,138),(71,99),(71,120),(71,128),(71,129),(72,100),(72,121),(72,127),(72,129),(73,101),(73,122),(73,127),(73,128),(74,87),(74,93),(74,105),(74,127),(74,131),(75,88),(75,94),(75,106),(75,128),(75,131),(76,89),(76,95),(76,107),(76,129),(76,131),(77,90),(77,96),(77,102),(77,127),(77,130),(78,91),(78,97),(78,103),(78,128),(78,130),(79,92),(79,98),(79,104),(79,129),(79,130),(80,81),(80,82),(80,83),(80,130),(80,131),(81,123),(81,139),(82,123),(82,132),(82,133),(83,123),(83,134),(83,135),(84,123),(84,124),(84,136),(85,123),(85,125),(85,137),(86,123),(86,126),(86,138),(87,111),(87,132),(87,136),(88,112),(88,132),(88,137),(89,113),(89,132),(89,138),(90,108),(90,133),(90,136),(91,109),(91,133),(91,137),(92,110),(92,133),(92,138),(93,117),(93,134),(93,136),(94,118),(94,134),(94,137),(95,119),(95,134),(95,138),(96,114),(96,135),(96,136),(97,115),(97,135),(97,137),(98,116),(98,135),(98,138),(99,124),(99,139),(100,125),(100,139),(101,126),(101,139),(102,108),(102,114),(102,139),(103,109),(103,115),(103,139),(104,110),(104,116),(104,139),(105,111),(105,117),(105,139),(106,112),(106,118),(106,139),(107,113),(107,119),(107,139),(108,140),(109,140),(110,140),(111,140),(112,140),(113,140),(114,140),(115,140),(116,140),(117,140),(118,140),(119,140),(120,124),(120,137),(120,138),(121,125),(121,136),(121,138),(122,126),(122,136),(122,137),(123,140),(124,140),(125,140),(126,140),(127,136),(127,139),(128,137),(128,139),(129,138),(129,139),(130,133),(130,135),(130,139),(131,132),(131,134),(131,139),(132,140),(133,140),(134,140),(135,140),(136,140),(137,140),(138,140),(139,140)],141)=>37 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,30),(1,31),(1,32),(1,33),(1,47),(1,48),(1,84),(1,85),(2,21),(2,25),(2,35),(2,38),(2,42),(2,46),(2,83),(2,85),(3,20),(3,24),(3,34),(3,38),(3,41),(3,45),(3,82),(3,84),(4,19),(4,22),(4,37),(4,39),(4,43),(4,45),(4,80),(4,85),(5,18),(5,23),(5,36),(5,39),(5,44),(5,46),(5,81),(5,84),(6,28),(6,29),(6,40),(6,43),(6,44),(6,48),(6,82),(6,83),(7,26),(7,27),(7,40),(7,41),(7,42),(7,47),(7,80),(7,81),(8,12),(8,15),(8,16),(8,18),(8,22),(8,26),(8,30),(8,34),(8,83),(9,12),(9,14),(9,17),(9,19),(9,23),(9,27),(9,31),(9,35),(9,82),(10,13),(10,14),(10,16),(10,20),(10,25),(10,28),(10,32),(10,36),(10,80),(11,13),(11,15),(11,17),(11,21),(11,24),(11,29),(11,33),(11,37),(11,81),(12,49),(12,54),(12,117),(12,119),(12,121),(13,50),(13,55),(13,118),(13,119),(13,120),(14,56),(14,59),(14,64),(14,86),(14,88),(14,119),(15,57),(15,58),(15,65),(15,87),(15,89),(15,119),(16,70),(16,76),(16,78),(16,98),(16,101),(16,119),(17,71),(17,77),(17,79),(17,99),(17,100),(17,119),(18,76),(18,87),(18,97),(18,102),(18,117),(19,77),(19,86),(19,96),(19,103),(19,117),(20,78),(20,88),(20,94),(20,104),(20,118),(21,79),(21,89),(21,95),(21,105),(21,118),(22,57),(22,66),(22,98),(22,117),(22,125),(23,56),(23,67),(23,99),(23,117),(23,124),(24,58),(24,68),(24,100),(24,118),(24,122),(25,59),(25,69),(25,101),(25,118),(25,123),(26,54),(26,60),(26,72),(26,87),(26,91),(26,98),(27,54),(27,61),(27,73),(27,86),(27,90),(27,99),(28,55),(28,62),(28,74),(28,88),(28,92),(28,101),(29,55),(29,63),(29,75),(29,89),(29,93),(29,100),(30,49),(30,60),(30,65),(30,70),(30,102),(30,125),(31,49),(31,61),(31,64),(31,71),(31,103),(31,124),(32,50),(32,62),(32,64),(32,70),(32,104),(32,123),(33,50),(33,63),(33,65),(33,71),(33,105),(33,122),(34,58),(34,66),(34,72),(34,78),(34,102),(34,121),(35,59),(35,67),(35,73),(35,79),(35,103),(35,121),(36,56),(36,69),(36,74),(36,76),(36,104),(36,120),(37,57),(37,68),(37,75),(37,77),(37,105),(37,120),(38,52),(38,116),(38,118),(38,121),(39,53),(39,116),(39,117),(39,120),(40,51),(40,90),(40,91),(40,92),(40,93),(41,52),(41,72),(41,90),(41,94),(41,122),(42,52),(42,73),(42,91),(42,95),(42,123),(43,53),(43,75),(43,92),(43,96),(43,125),(44,53),(44,74),(44,93),(44,97),(44,124),(45,66),(45,68),(45,94),(45,96),(45,116),(46,67),(46,69),(46,95),(46,97),(46,116),(47,51),(47,60),(47,61),(47,122),(47,123),(48,51),(48,62),(48,63),(48,124),(48,125),(49,106),(49,134),(49,140),(50,107),(50,134),(50,139),(51,135),(51,136),(52,128),(52,139),(53,129),(53,140),(54,106),(54,128),(54,137),(55,107),(55,129),(55,138),(56,109),(56,132),(56,137),(57,108),(57,133),(57,137),(58,108),(58,130),(58,138),(59,109),(59,131),(59,138),(60,106),(60,130),(60,136),(61,106),(61,131),(61,135),(62,107),(62,132),(62,136),(63,107),(63,133),(63,135),(64,131),(64,132),(64,134),(65,130),(65,133),(65,134),(66,108),(66,112),(66,140),(67,109),(67,113),(67,140),(68,108),(68,114),(68,139),(69,109),(69,115),(69,139),(70,110),(70,134),(70,136),(71,111),(71,134),(71,135),(72,112),(72,128),(72,130),(73,113),(73,128),(73,131),(74,115),(74,129),(74,132),(75,114),(75,129),(75,133),(76,110),(76,115),(76,137),(77,111),(77,114),(77,137),(78,110),(78,112),(78,138),(79,111),(79,113),(79,138),(80,86),(80,92),(80,94),(80,98),(80,120),(80,123),(81,87),(81,93),(81,95),(81,99),(81,120),(81,122),(82,88),(82,90),(82,96),(82,100),(82,121),(82,124),(83,89),(83,91),(83,97),(83,101),(83,121),(83,125),(84,102),(84,104),(84,116),(84,122),(84,124),(85,103),(85,105),(85,116),(85,123),(85,125),(86,126),(86,131),(86,137),(87,127),(87,130),(87,137),(88,126),(88,132),(88,138),(89,127),(89,133),(89,138),(90,126),(90,128),(90,135),(91,127),(91,128),(91,136),(92,126),(92,129),(92,136),(93,127),(93,129),(93,135),(94,112),(94,126),(94,139),(95,113),(95,127),(95,139),(96,114),(96,126),(96,140),(97,115),(97,127),(97,140),(98,112),(98,136),(98,137),(99,113),(99,135),(99,137),(100,114),(100,135),(100,138),(101,115),(101,136),(101,138),(102,110),(102,130),(102,140),(103,111),(103,131),(103,140),(104,110),(104,132),(104,139),(105,111),(105,133),(105,139),(106,141),(107,141),(108,141),(109,141),(110,141),(111,141),(112,141),(113,141),(114,141),(115,141),(116,139),(116,140),(117,137),(117,140),(118,138),(118,139),(119,134),(119,137),(119,138),(120,129),(120,137),(120,139),(121,128),(121,138),(121,140),(122,130),(122,135),(122,139),(123,131),(123,136),(123,139),(124,132),(124,135),(124,140),(125,133),(125,136),(125,140),(126,141),(127,141),(128,141),(129,141),(130,141),(131,141),(132,141),(133,141),(134,141),(135,141),(136,141),(137,141),(138,141),(139,141),(140,141)],142)=>19 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,15),(1,21),(1,29),(1,30),(1,35),(1,36),(1,44),(1,45),(1,93),(2,14),(2,20),(2,26),(2,28),(2,32),(2,34),(2,43),(2,45),(2,92),(3,13),(3,19),(3,25),(3,27),(3,31),(3,33),(3,43),(3,44),(3,91),(4,16),(4,19),(4,28),(4,29),(4,37),(4,39),(4,46),(4,48),(4,90),(5,17),(5,20),(5,27),(5,30),(5,38),(5,40),(5,47),(5,48),(5,89),(6,18),(6,21),(6,25),(6,26),(6,41),(6,42),(6,46),(6,47),(6,88),(7,22),(7,23),(7,33),(7,34),(7,37),(7,38),(7,88),(7,93),(8,22),(8,24),(8,31),(8,35),(8,39),(8,41),(8,89),(8,92),(9,23),(9,24),(9,32),(9,36),(9,40),(9,42),(9,90),(9,91),(10,12),(10,16),(10,17),(10,18),(10,91),(10,92),(10,93),(11,12),(11,13),(11,14),(11,15),(11,88),(11,89),(11,90),(12,120),(12,121),(12,122),(13,52),(13,53),(13,99),(13,101),(13,120),(14,52),(14,54),(14,100),(14,102),(14,121),(15,53),(15,54),(15,103),(15,104),(15,122),(16,55),(16,57),(16,108),(16,109),(16,120),(17,56),(17,57),(17,107),(17,110),(17,121),(18,55),(18,56),(18,105),(18,106),(18,122),(19,64),(19,66),(19,117),(19,118),(19,120),(20,65),(20,67),(20,117),(20,119),(20,121),(21,68),(21,69),(21,118),(21,119),(21,122),(22,51),(22,70),(22,73),(22,124),(22,128),(23,51),(23,71),(23,74),(23,123),(23,127),(24,51),(24,72),(24,75),(24,125),(24,126),(25,58),(25,61),(25,76),(25,101),(25,105),(25,118),(26,58),(26,62),(26,77),(26,102),(26,106),(26,119),(27,59),(27,61),(27,78),(27,99),(27,107),(27,117),(28,60),(28,62),(28,79),(28,100),(28,108),(28,117),(29,60),(29,63),(29,80),(29,104),(29,109),(29,118),(30,59),(30,63),(30,81),(30,103),(30,110),(30,119),(31,66),(31,70),(31,76),(31,83),(31,99),(31,126),(32,67),(32,71),(32,77),(32,84),(32,100),(32,126),(33,64),(33,70),(33,78),(33,82),(33,101),(33,127),(34,65),(34,71),(34,79),(34,82),(34,102),(34,128),(35,69),(35,72),(35,80),(35,83),(35,103),(35,128),(36,68),(36,72),(36,81),(36,84),(36,104),(36,127),(37,64),(37,73),(37,79),(37,87),(37,109),(37,123),(38,65),(38,74),(38,78),(38,87),(38,110),(38,124),(39,66),(39,73),(39,80),(39,85),(39,108),(39,125),(40,67),(40,74),(40,81),(40,86),(40,107),(40,125),(41,69),(41,75),(41,76),(41,85),(41,106),(41,124),(42,68),(42,75),(42,77),(42,86),(42,105),(42,123),(43,49),(43,52),(43,58),(43,82),(43,117),(43,126),(44,49),(44,53),(44,59),(44,83),(44,118),(44,127),(45,49),(45,54),(45,60),(45,84),(45,119),(45,128),(46,50),(46,55),(46,62),(46,85),(46,118),(46,123),(47,50),(47,56),(47,61),(47,86),(47,119),(47,124),(48,50),(48,57),(48,63),(48,87),(48,117),(48,125),(49,97),(49,139),(49,140),(50,98),(50,138),(50,140),(51,138),(51,139),(52,97),(52,113),(52,143),(53,97),(53,111),(53,141),(54,97),(54,112),(54,142),(55,98),(55,115),(55,141),(56,98),(56,114),(56,142),(57,98),(57,116),(57,143),(58,113),(58,137),(58,140),(59,111),(59,135),(59,140),(60,112),(60,136),(60,140),(61,114),(61,132),(61,140),(62,115),(62,133),(62,140),(63,116),(63,134),(63,140),(64,94),(64,129),(64,141),(65,95),(65,129),(65,142),(66,94),(66,130),(66,143),(67,95),(67,131),(67,143),(68,96),(68,131),(68,141),(69,96),(69,130),(69,142),(70,94),(70,132),(70,139),(71,95),(71,133),(71,139),(72,96),(72,134),(72,139),(73,94),(73,136),(73,138),(74,95),(74,135),(74,138),(75,96),(75,137),(75,138),(76,130),(76,132),(76,137),(77,131),(77,133),(77,137),(78,129),(78,132),(78,135),(79,129),(79,133),(79,136),(80,130),(80,134),(80,136),(81,131),(81,134),(81,135),(82,113),(82,129),(82,139),(83,111),(83,130),(83,139),(84,112),(84,131),(84,139),(85,115),(85,130),(85,138),(86,114),(86,131),(86,138),(87,116),(87,129),(87,138),(88,101),(88,102),(88,122),(88,123),(88,124),(89,99),(89,103),(89,121),(89,124),(89,125),(90,100),(90,104),(90,120),(90,123),(90,125),(91,105),(91,107),(91,120),(91,126),(91,127),(92,106),(92,108),(92,121),(92,126),(92,128),(93,109),(93,110),(93,122),(93,127),(93,128),(94,144),(95,144),(96,144),(97,144),(98,144),(99,111),(99,132),(99,143),(100,112),(100,133),(100,143),(101,113),(101,132),(101,141),(102,113),(102,133),(102,142),(103,111),(103,134),(103,142),(104,112),(104,134),(104,141),(105,114),(105,137),(105,141),(106,115),(106,137),(106,142),(107,114),(107,135),(107,143),(108,115),(108,136),(108,143),(109,116),(109,136),(109,141),(110,116),(110,135),(110,142),(111,144),(112,144),(113,144),(114,144),(115,144),(116,144),(117,129),(117,140),(117,143),(118,130),(118,140),(118,141),(119,131),(119,140),(119,142),(120,141),(120,143),(121,142),(121,143),(122,141),(122,142),(123,133),(123,138),(123,141),(124,132),(124,138),(124,142),(125,134),(125,138),(125,143),(126,137),(126,139),(126,143),(127,135),(127,139),(127,141),(128,136),(128,139),(128,142),(129,144),(130,144),(131,144),(132,144),(133,144),(134,144),(135,144),(136,144),(137,144),(138,144),(139,144),(140,144),(141,144),(142,144),(143,144)],145)=>19 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,25),(1,26),(1,27),(1,28),(1,29),(1,30),(1,31),(1,32),(1,33),(1,34),(2,14),(2,19),(2,20),(2,32),(2,37),(2,38),(2,41),(2,42),(2,89),(3,13),(3,17),(3,18),(3,31),(3,35),(3,36),(3,39),(3,40),(3,89),(4,16),(4,22),(4,24),(4,34),(4,36),(4,38),(4,44),(4,46),(4,88),(5,15),(5,21),(5,23),(5,33),(5,35),(5,37),(5,43),(5,45),(5,88),(6,17),(6,21),(6,27),(6,41),(6,44),(6,47),(6,69),(6,71),(7,18),(7,22),(7,28),(7,42),(7,43),(7,48),(7,69),(7,72),(8,19),(8,23),(8,29),(8,39),(8,46),(8,48),(8,70),(8,71),(9,20),(9,24),(9,30),(9,40),(9,45),(9,47),(9,70),(9,72),(10,12),(10,15),(10,16),(10,26),(10,71),(10,72),(10,89),(11,12),(11,13),(11,14),(11,25),(11,69),(11,70),(11,88),(12,87),(12,106),(12,107),(12,133),(13,81),(13,94),(13,98),(13,102),(13,106),(14,82),(14,95),(14,99),(14,103),(14,106),(15,83),(15,96),(15,100),(15,104),(15,107),(16,84),(16,97),(16,101),(16,105),(16,107),(17,54),(17,61),(17,98),(17,122),(17,125),(18,53),(18,62),(18,98),(18,123),(18,126),(19,56),(19,64),(19,99),(19,122),(19,127),(20,55),(20,63),(20,99),(20,123),(20,128),(21,59),(21,67),(21,100),(21,120),(21,125),(22,60),(22,68),(22,101),(22,120),(22,126),(23,57),(23,65),(23,100),(23,121),(23,127),(24,58),(24,66),(24,101),(24,121),(24,128),(25,81),(25,82),(25,87),(25,108),(25,110),(25,111),(26,83),(26,84),(26,87),(26,109),(26,112),(26,113),(27,75),(27,78),(27,85),(27,111),(27,113),(27,125),(28,76),(28,77),(28,86),(28,111),(28,112),(28,126),(29,73),(29,80),(29,86),(29,110),(29,113),(29,127),(30,74),(30,79),(30,85),(30,110),(30,112),(30,128),(31,73),(31,74),(31,81),(31,109),(31,125),(31,126),(32,75),(32,76),(32,82),(32,109),(32,127),(32,128),(33,77),(33,79),(33,83),(33,108),(33,125),(33,127),(34,78),(34,80),(34,84),(34,108),(34,126),(34,128),(35,49),(35,53),(35,57),(35,94),(35,96),(35,125),(36,50),(36,54),(36,58),(36,94),(36,97),(36,126),(37,51),(37,55),(37,59),(37,95),(37,96),(37,127),(38,52),(38,56),(38,60),(38,95),(38,97),(38,128),(39,50),(39,57),(39,62),(39,73),(39,102),(39,122),(40,49),(40,58),(40,61),(40,74),(40,102),(40,123),(41,52),(41,59),(41,63),(41,75),(41,103),(41,122),(42,51),(42,60),(42,64),(42,76),(42,103),(42,123),(43,51),(43,53),(43,65),(43,77),(43,104),(43,120),(44,52),(44,54),(44,66),(44,78),(44,105),(44,120),(45,49),(45,55),(45,67),(45,79),(45,104),(45,121),(46,50),(46,56),(46,68),(46,80),(46,105),(46,121),(47,61),(47,63),(47,66),(47,67),(47,85),(47,133),(48,62),(48,64),(48,65),(48,68),(48,86),(48,133),(49,129),(49,134),(49,136),(50,130),(50,134),(50,137),(51,131),(51,135),(51,136),(52,132),(52,135),(52,137),(53,90),(53,136),(53,139),(54,91),(54,137),(54,139),(55,92),(55,136),(55,140),(56,93),(56,137),(56,140),(57,90),(57,134),(57,141),(58,91),(58,134),(58,142),(59,92),(59,135),(59,141),(60,93),(60,135),(60,142),(61,91),(61,129),(61,143),(62,90),(62,130),(62,143),(63,92),(63,132),(63,143),(64,93),(64,131),(64,143),(65,90),(65,131),(65,144),(66,91),(66,132),(66,144),(67,92),(67,129),(67,144),(68,93),(68,130),(68,144),(69,98),(69,103),(69,111),(69,120),(69,133),(70,99),(70,102),(70,110),(70,121),(70,133),(71,100),(71,105),(71,113),(71,122),(71,133),(72,101),(72,104),(72,112),(72,123),(72,133),(73,116),(73,130),(73,141),(74,116),(74,129),(74,142),(75,117),(75,132),(75,141),(76,117),(76,131),(76,142),(77,118),(77,131),(77,139),(78,119),(78,132),(78,139),(79,118),(79,129),(79,140),(80,119),(80,130),(80,140),(81,114),(81,116),(81,139),(82,114),(82,117),(82,140),(83,115),(83,118),(83,141),(84,115),(84,119),(84,142),(85,129),(85,132),(85,138),(86,130),(86,131),(86,138),(87,114),(87,115),(87,138),(88,94),(88,95),(88,107),(88,108),(88,120),(88,121),(89,96),(89,97),(89,106),(89,109),(89,122),(89,123),(90,145),(91,145),(92,145),(93,145),(94,124),(94,134),(94,139),(95,124),(95,135),(95,140),(96,124),(96,136),(96,141),(97,124),(97,137),(97,142),(98,139),(98,143),(99,140),(99,143),(100,141),(100,144),(101,142),(101,144),(102,116),(102,134),(102,143),(103,117),(103,135),(103,143),(104,118),(104,136),(104,144),(105,119),(105,137),(105,144),(106,114),(106,124),(106,143),(107,115),(107,124),(107,144),(108,115),(108,139),(108,140),(109,114),(109,141),(109,142),(110,116),(110,138),(110,140),(111,117),(111,138),(111,139),(112,118),(112,138),(112,142),(113,119),(113,138),(113,141),(114,145),(115,145),(116,145),(117,145),(118,145),(119,145),(120,135),(120,139),(120,144),(121,134),(121,140),(121,144),(122,137),(122,141),(122,143),(123,136),(123,142),(123,143),(124,145),(125,129),(125,139),(125,141),(126,130),(126,139),(126,142),(127,131),(127,140),(127,141),(128,132),(128,140),(128,142),(129,145),(130,145),(131,145),(132,145),(133,138),(133,143),(133,144),(134,145),(135,145),(136,145),(137,145),(138,145),(139,145),(140,145),(141,145),(142,145),(143,145),(144,145)],146)=>20 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,20),(1,29),(1,31),(1,36),(1,40),(1,42),(1,44),(1,81),(1,86),(2,19),(2,28),(2,30),(2,35),(2,39),(2,41),(2,43),(2,81),(2,85),(3,17),(3,26),(3,32),(3,35),(3,37),(3,42),(3,45),(3,82),(3,84),(4,18),(4,27),(4,33),(4,36),(4,38),(4,41),(4,46),(4,82),(4,83),(5,25),(5,37),(5,38),(5,39),(5,40),(5,47),(5,48),(5,79),(5,80),(6,15),(6,16),(6,24),(6,32),(6,33),(6,34),(6,48),(6,85),(6,86),(7,13),(7,14),(7,23),(7,30),(7,31),(7,34),(7,47),(7,83),(7,84),(8,13),(8,17),(8,22),(8,27),(8,43),(8,49),(8,79),(8,86),(9,14),(9,18),(9,21),(9,26),(9,44),(9,49),(9,80),(9,85),(10,15),(10,19),(10,21),(10,29),(10,45),(10,50),(10,79),(10,83),(11,16),(11,20),(11,22),(11,28),(11,46),(11,50),(11,80),(11,84),(12,23),(12,24),(12,25),(12,49),(12,50),(12,81),(12,82),(13,63),(13,91),(13,103),(13,108),(13,127),(14,64),(14,90),(14,102),(14,108),(14,128),(15,65),(15,92),(15,104),(15,109),(15,130),(16,66),(16,93),(16,105),(16,109),(16,129),(17,59),(17,96),(17,101),(17,103),(17,131),(18,60),(18,97),(18,100),(18,102),(18,131),(19,61),(19,94),(19,98),(19,104),(19,132),(20,62),(20,95),(20,99),(20,105),(20,132),(21,73),(21,74),(21,102),(21,104),(21,138),(22,72),(22,75),(22,103),(22,105),(22,138),(23,76),(23,78),(23,108),(23,110),(23,139),(24,77),(24,78),(24,109),(24,111),(24,140),(25,76),(25,77),(25,106),(25,107),(25,138),(26,69),(26,74),(26,114),(26,128),(26,131),(27,68),(27,75),(27,115),(27,127),(27,131),(28,70),(28,72),(28,112),(28,129),(28,132),(29,71),(29,73),(29,113),(29,130),(29,132),(30,53),(30,63),(30,90),(30,98),(30,110),(30,112),(31,54),(31,64),(31,91),(31,99),(31,110),(31,113),(32,56),(32,65),(32,93),(32,101),(32,111),(32,114),(33,55),(33,66),(33,92),(33,100),(33,111),(33,115),(34,67),(34,78),(34,90),(34,91),(34,92),(34,93),(35,51),(35,59),(35,61),(35,112),(35,114),(35,124),(36,52),(36,60),(36,62),(36,113),(36,115),(36,124),(37,51),(37,56),(37,58),(37,96),(37,106),(37,128),(38,52),(38,55),(38,57),(38,97),(38,106),(38,127),(39,51),(39,53),(39,57),(39,94),(39,107),(39,129),(40,52),(40,54),(40,58),(40,95),(40,107),(40,130),(41,57),(41,68),(41,70),(41,98),(41,100),(41,124),(42,58),(42,69),(42,71),(42,99),(42,101),(42,124),(43,59),(43,63),(43,68),(43,72),(43,94),(43,140),(44,60),(44,64),(44,69),(44,73),(44,95),(44,140),(45,61),(45,65),(45,71),(45,74),(45,96),(45,139),(46,62),(46,66),(46,70),(46,75),(46,97),(46,139),(47,53),(47,54),(47,67),(47,76),(47,127),(47,128),(48,55),(48,56),(48,67),(48,77),(48,129),(48,130),(49,108),(49,131),(49,138),(49,140),(50,109),(50,132),(50,138),(50,139),(51,122),(51,133),(51,143),(52,123),(52,133),(52,144),(53,116),(53,134),(53,143),(54,116),(54,135),(54,144),(55,117),(55,136),(55,144),(56,117),(56,137),(56,143),(57,133),(57,134),(57,136),(58,133),(58,135),(58,137),(59,118),(59,122),(59,146),(60,119),(60,123),(60,146),(61,120),(61,122),(61,145),(62,121),(62,123),(62,145),(63,118),(63,134),(63,141),(64,119),(64,135),(64,141),(65,120),(65,137),(65,142),(66,121),(66,136),(66,142),(67,87),(67,143),(67,144),(68,88),(68,134),(68,146),(69,89),(69,135),(69,146),(70,88),(70,136),(70,145),(71,89),(71,137),(71,145),(72,88),(72,118),(72,148),(73,89),(73,119),(73,148),(74,89),(74,120),(74,147),(75,88),(75,121),(75,147),(76,87),(76,116),(76,147),(77,87),(77,117),(77,148),(78,87),(78,141),(78,142),(79,94),(79,96),(79,127),(79,130),(79,138),(80,95),(80,97),(80,128),(80,129),(80,138),(81,107),(81,110),(81,124),(81,132),(81,140),(82,106),(82,111),(82,124),(82,131),(82,139),(83,92),(83,98),(83,102),(83,113),(83,127),(83,139),(84,93),(84,99),(84,103),(84,112),(84,128),(84,139),(85,90),(85,100),(85,104),(85,114),(85,129),(85,140),(86,91),(86,101),(86,105),(86,115),(86,130),(86,140),(87,149),(88,149),(89,149),(90,125),(90,141),(90,143),(91,126),(91,141),(91,144),(92,125),(92,142),(92,144),(93,126),(93,142),(93,143),(94,122),(94,134),(94,148),(95,123),(95,135),(95,148),(96,122),(96,137),(96,147),(97,123),(97,136),(97,147),(98,125),(98,134),(98,145),(99,126),(99,135),(99,145),(100,125),(100,136),(100,146),(101,126),(101,137),(101,146),(102,119),(102,125),(102,147),(103,118),(103,126),(103,147),(104,120),(104,125),(104,148),(105,121),(105,126),(105,148),(106,117),(106,133),(106,147),(107,116),(107,133),(107,148),(108,141),(108,147),(109,142),(109,148),(110,116),(110,141),(110,145),(111,117),(111,142),(111,146),(112,118),(112,143),(112,145),(113,119),(113,144),(113,145),(114,120),(114,143),(114,146),(115,121),(115,144),(115,146),(116,149),(117,149),(118,149),(119,149),(120,149),(121,149),(122,149),(123,149),(124,133),(124,145),(124,146),(125,149),(126,149),(127,134),(127,144),(127,147),(128,135),(128,143),(128,147),(129,136),(129,143),(129,148),(130,137),(130,144),(130,148),(131,146),(131,147),(132,145),(132,148),(133,149),(134,149),(135,149),(136,149),(137,149),(138,147),(138,148),(139,142),(139,145),(139,147),(140,141),(140,146),(140,148),(141,149),(142,149),(143,149),(144,149),(145,149),(146,149),(147,149),(148,149)],150)=>29 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(1,26),(1,27),(1,32),(1,33),(1,41),(1,42),(1,91),(1,94),(2,14),(2,23),(2,25),(2,29),(2,31),(2,40),(2,42),(2,90),(2,93),(3,13),(3,22),(3,24),(3,28),(3,30),(3,40),(3,41),(3,89),(3,92),(4,18),(4,24),(4,25),(4,34),(4,35),(4,43),(4,44),(4,86),(4,94),(5,17),(5,22),(5,26),(5,36),(5,38),(5,43),(5,45),(5,87),(5,93),(6,16),(6,23),(6,27),(6,37),(6,39),(6,44),(6,45),(6,88),(6,92),(7,21),(7,30),(7,31),(7,36),(7,37),(7,46),(7,47),(7,86),(7,91),(8,20),(8,28),(8,32),(8,34),(8,39),(8,46),(8,48),(8,87),(8,90),(9,19),(9,29),(9,33),(9,35),(9,38),(9,47),(9,48),(9,88),(9,89),(10,19),(10,20),(10,21),(10,49),(10,92),(10,93),(10,94),(11,16),(11,17),(11,18),(11,49),(11,89),(11,90),(11,91),(12,13),(12,14),(12,15),(12,49),(12,86),(12,87),(12,88),(13,53),(13,54),(13,98),(13,100),(13,134),(14,53),(14,55),(14,99),(14,101),(14,135),(15,54),(15,55),(15,102),(15,103),(15,136),(16,56),(16,58),(16,107),(16,108),(16,134),(17,57),(17,58),(17,106),(17,109),(17,135),(18,56),(18,57),(18,104),(18,105),(18,136),(19,59),(19,61),(19,113),(19,114),(19,134),(20,60),(20,61),(20,112),(20,115),(20,135),(21,59),(21,60),(21,110),(21,111),(21,136),(22,63),(22,65),(22,80),(22,98),(22,106),(22,131),(23,64),(23,66),(23,81),(23,99),(23,107),(23,131),(24,62),(24,65),(24,82),(24,100),(24,104),(24,132),(25,62),(25,66),(25,83),(25,101),(25,105),(25,133),(26,63),(26,67),(26,84),(26,102),(26,109),(26,133),(27,64),(27,67),(27,85),(27,103),(27,108),(27,132),(28,69),(28,74),(28,82),(28,98),(28,112),(28,128),(29,70),(29,75),(29,83),(29,99),(29,113),(29,128),(30,68),(30,74),(30,80),(30,100),(30,110),(30,129),(31,68),(31,75),(31,81),(31,101),(31,111),(31,130),(32,69),(32,76),(32,85),(32,102),(32,115),(32,130),(33,70),(33,76),(33,84),(33,103),(33,114),(33,129),(34,72),(34,79),(34,82),(34,105),(34,115),(34,126),(35,71),(35,79),(35,83),(35,104),(35,114),(35,125),(36,73),(36,77),(36,80),(36,109),(36,111),(36,126),(37,73),(37,78),(37,81),(37,108),(37,110),(37,125),(38,71),(38,77),(38,84),(38,106),(38,113),(38,127),(39,72),(39,78),(39,85),(39,107),(39,112),(39,127),(40,50),(40,53),(40,62),(40,68),(40,128),(40,131),(41,50),(41,54),(41,63),(41,69),(41,129),(41,132),(42,50),(42,55),(42,64),(42,70),(42,130),(42,133),(43,51),(43,57),(43,65),(43,71),(43,126),(43,133),(44,51),(44,56),(44,66),(44,72),(44,125),(44,132),(45,51),(45,58),(45,67),(45,73),(45,127),(45,131),(46,52),(46,60),(46,74),(46,78),(46,126),(46,130),(47,52),(47,59),(47,75),(47,77),(47,125),(47,129),(48,52),(48,61),(48,76),(48,79),(48,127),(48,128),(49,134),(49,135),(49,136),(50,95),(50,147),(50,148),(51,96),(51,146),(51,148),(52,97),(52,146),(52,147),(53,95),(53,118),(53,151),(54,95),(54,116),(54,149),(55,95),(55,117),(55,150),(56,96),(56,120),(56,149),(57,96),(57,119),(57,150),(58,96),(58,121),(58,151),(59,97),(59,123),(59,149),(60,97),(60,122),(60,150),(61,97),(61,124),(61,151),(62,118),(62,142),(62,148),(63,116),(63,140),(63,148),(64,117),(64,141),(64,148),(65,119),(65,137),(65,148),(66,120),(66,138),(66,148),(67,121),(67,139),(67,148),(68,118),(68,143),(68,147),(69,116),(69,144),(69,147),(70,117),(70,145),(70,147),(71,119),(71,145),(71,146),(72,120),(72,144),(72,146),(73,121),(73,143),(73,146),(74,122),(74,137),(74,147),(75,123),(75,138),(75,147),(76,124),(76,139),(76,147),(77,123),(77,140),(77,146),(78,122),(78,141),(78,146),(79,124),(79,142),(79,146),(80,137),(80,140),(80,143),(81,138),(81,141),(81,143),(82,137),(82,142),(82,144),(83,138),(83,142),(83,145),(84,139),(84,140),(84,145),(85,139),(85,141),(85,144),(86,100),(86,101),(86,125),(86,126),(86,136),(87,98),(87,102),(87,126),(87,127),(87,135),(88,99),(88,103),(88,125),(88,127),(88,134),(89,104),(89,106),(89,128),(89,129),(89,134),(90,105),(90,107),(90,128),(90,130),(90,135),(91,108),(91,109),(91,129),(91,130),(91,136),(92,110),(92,112),(92,131),(92,132),(92,134),(93,111),(93,113),(93,131),(93,133),(93,135),(94,114),(94,115),(94,132),(94,133),(94,136),(95,152),(96,152),(97,152),(98,116),(98,137),(98,151),(99,117),(99,138),(99,151),(100,118),(100,137),(100,149),(101,118),(101,138),(101,150),(102,116),(102,139),(102,150),(103,117),(103,139),(103,149),(104,119),(104,142),(104,149),(105,120),(105,142),(105,150),(106,119),(106,140),(106,151),(107,120),(107,141),(107,151),(108,121),(108,141),(108,149),(109,121),(109,140),(109,150),(110,122),(110,143),(110,149),(111,123),(111,143),(111,150),(112,122),(112,144),(112,151),(113,123),(113,145),(113,151),(114,124),(114,145),(114,149),(115,124),(115,144),(115,150),(116,152),(117,152),(118,152),(119,152),(120,152),(121,152),(122,152),(123,152),(124,152),(125,138),(125,146),(125,149),(126,137),(126,146),(126,150),(127,139),(127,146),(127,151),(128,142),(128,147),(128,151),(129,140),(129,147),(129,149),(130,141),(130,147),(130,150),(131,143),(131,148),(131,151),(132,144),(132,148),(132,149),(133,145),(133,148),(133,150),(134,149),(134,151),(135,150),(135,151),(136,149),(136,150),(137,152),(138,152),(139,152),(140,152),(141,152),(142,152),(143,152),(144,152),(145,152),(146,152),(147,152),(148,152),(149,152),(150,152),(151,152)],153)=>30 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,22),(1,27),(1,28),(1,32),(1,35),(1,36),(1,37),(1,40),(1,41),(1,90),(2,21),(2,25),(2,26),(2,31),(2,33),(2,34),(2,37),(2,38),(2,39),(2,89),(3,16),(3,26),(3,30),(3,41),(3,43),(3,45),(3,49),(3,86),(3,92),(4,15),(4,25),(4,29),(4,40),(4,42),(4,44),(4,48),(4,85),(4,92),(5,17),(5,27),(5,29),(5,39),(5,43),(5,46),(5,50),(5,88),(5,91),(6,18),(6,28),(6,30),(6,38),(6,42),(6,47),(6,51),(6,87),(6,91),(7,13),(7,23),(7,24),(7,44),(7,45),(7,46),(7,47),(7,89),(7,90),(8,13),(8,19),(8,20),(8,21),(8,22),(8,59),(8,91),(8,92),(9,14),(9,17),(9,18),(9,19),(9,31),(9,85),(9,86),(9,90),(10,14),(10,15),(10,16),(10,20),(10,32),(10,87),(10,88),(10,89),(11,24),(11,33),(11,35),(11,48),(11,50),(11,59),(11,86),(11,87),(12,23),(12,34),(12,36),(12,49),(12,51),(12,59),(12,85),(12,88),(13,97),(13,98),(13,99),(13,100),(13,103),(14,52),(14,127),(14,128),(14,138),(15,77),(15,96),(15,106),(15,112),(15,127),(16,78),(16,96),(16,107),(16,113),(16,128),(17,75),(17,95),(17,108),(17,111),(17,127),(18,76),(18,95),(18,109),(18,110),(18,128),(19,52),(19,69),(19,95),(19,100),(19,139),(20,52),(20,70),(20,96),(20,99),(20,140),(21,68),(21,69),(21,99),(21,101),(21,104),(21,114),(22,68),(22,70),(22,100),(22,102),(22,105),(22,115),(23,65),(23,67),(23,103),(23,134),(23,136),(24,64),(24,66),(24,103),(24,135),(24,137),(25,55),(25,71),(25,104),(25,106),(25,116),(25,132),(26,56),(26,72),(26,104),(26,107),(26,117),(26,133),(27,58),(27,73),(27,105),(27,108),(27,119),(27,132),(28,57),(28,74),(28,105),(28,109),(28,118),(28,133),(29,60),(29,62),(29,127),(29,129),(29,132),(30,61),(30,63),(30,128),(30,129),(30,133),(31,69),(31,75),(31,76),(31,116),(31,117),(31,138),(32,70),(32,77),(32,78),(32,118),(32,119),(32,138),(33,71),(33,80),(33,84),(33,114),(33,117),(33,135),(34,72),(34,79),(34,83),(34,114),(34,116),(34,134),(35,73),(35,81),(35,84),(35,115),(35,118),(35,137),(36,74),(36,82),(36,83),(36,115),(36,119),(36,136),(37,68),(37,83),(37,84),(37,132),(37,133),(37,138),(38,55),(38,76),(38,79),(38,101),(38,133),(38,135),(39,56),(39,75),(39,80),(39,101),(39,132),(39,134),(40,57),(40,77),(40,81),(40,102),(40,132),(40,136),(41,58),(41,78),(41,82),(41,102),(41,133),(41,137),(42,53),(42,55),(42,57),(42,110),(42,112),(42,129),(43,54),(43,56),(43,58),(43,111),(43,113),(43,129),(44,53),(44,62),(44,66),(44,97),(44,106),(44,136),(45,54),(45,63),(45,67),(45,97),(45,107),(45,137),(46,54),(46,62),(46,64),(46,98),(46,108),(46,134),(47,53),(47,63),(47,65),(47,98),(47,109),(47,135),(48,60),(48,66),(48,71),(48,81),(48,112),(48,139),(49,61),(49,67),(49,72),(49,82),(49,113),(49,139),(50,60),(50,64),(50,73),(50,80),(50,111),(50,140),(51,61),(51,65),(51,74),(51,79),(51,110),(51,140),(52,144),(52,156),(53,143),(53,145),(53,147),(54,143),(54,146),(54,148),(55,121),(55,145),(55,151),(56,122),(56,146),(56,151),(57,123),(57,147),(57,151),(58,124),(58,148),(58,151),(59,103),(59,114),(59,115),(59,139),(59,140),(60,93),(60,141),(60,156),(61,94),(61,142),(61,156),(62,93),(62,143),(62,154),(63,94),(63,143),(63,155),(64,93),(64,148),(64,152),(65,94),(65,147),(65,152),(66,93),(66,145),(66,153),(67,94),(67,146),(67,153),(68,120),(68,144),(68,151),(69,125),(69,144),(69,149),(70,126),(70,144),(70,150),(71,141),(71,145),(71,149),(72,142),(72,146),(72,149),(73,141),(73,148),(73,150),(74,142),(74,147),(74,150),(75,122),(75,125),(75,154),(76,121),(76,125),(76,155),(77,123),(77,126),(77,154),(78,124),(78,126),(78,155),(79,121),(79,142),(79,152),(80,122),(80,141),(80,152),(81,123),(81,141),(81,153),(82,124),(82,142),(82,153),(83,120),(83,142),(83,154),(84,120),(84,141),(84,155),(85,110),(85,116),(85,127),(85,136),(85,139),(86,111),(86,117),(86,128),(86,137),(86,139),(87,112),(87,118),(87,128),(87,135),(87,140),(88,113),(88,119),(88,127),(88,134),(88,140),(89,99),(89,106),(89,107),(89,134),(89,135),(89,138),(90,100),(90,108),(90,109),(90,136),(90,137),(90,138),(91,95),(91,98),(91,101),(91,105),(91,129),(91,140),(92,96),(92,97),(92,102),(92,104),(92,129),(92,139),(93,157),(94,157),(95,125),(95,131),(95,156),(96,126),(96,130),(96,156),(97,130),(97,143),(97,153),(98,131),(98,143),(98,152),(99,130),(99,144),(99,152),(100,131),(100,144),(100,153),(101,125),(101,151),(101,152),(102,126),(102,151),(102,153),(103,152),(103,153),(104,130),(104,149),(104,151),(105,131),(105,150),(105,151),(106,130),(106,145),(106,154),(107,130),(107,146),(107,155),(108,131),(108,148),(108,154),(109,131),(109,147),(109,155),(110,121),(110,147),(110,156),(111,122),(111,148),(111,156),(112,123),(112,145),(112,156),(113,124),(113,146),(113,156),(114,120),(114,149),(114,152),(115,120),(115,150),(115,153),(116,121),(116,149),(116,154),(117,122),(117,149),(117,155),(118,123),(118,150),(118,155),(119,124),(119,150),(119,154),(120,157),(121,157),(122,157),(123,157),(124,157),(125,157),(126,157),(127,154),(127,156),(128,155),(128,156),(129,143),(129,151),(129,156),(130,157),(131,157),(132,141),(132,151),(132,154),(133,142),(133,151),(133,155),(134,146),(134,152),(134,154),(135,145),(135,152),(135,155),(136,147),(136,153),(136,154),(137,148),(137,153),(137,155),(138,144),(138,154),(138,155),(139,149),(139,153),(139,156),(140,150),(140,152),(140,156),(141,157),(142,157),(143,157),(144,157),(145,157),(146,157),(147,157),(148,157),(149,157),(150,157),(151,157),(152,157),(153,157),(154,157),(155,157),(156,157)],158)=>25 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,12),(1,25),(1,30),(1,31),(1,32),(1,33),(1,38),(1,39),(1,40),(2,11),(2,24),(2,26),(2,27),(2,28),(2,29),(2,36),(2,37),(2,40),(3,15),(3,20),(3,21),(3,22),(3,23),(3,37),(3,39),(3,46),(4,14),(4,16),(4,17),(4,18),(4,19),(4,36),(4,38),(4,46),(5,17),(5,21),(5,27),(5,31),(5,35),(5,81),(5,83),(6,16),(6,20),(6,26),(6,30),(6,35),(6,80),(6,82),(7,19),(7,22),(7,28),(7,32),(7,34),(7,80),(7,83),(8,18),(8,23),(8,29),(8,33),(8,34),(8,81),(8,82),(9,13),(9,14),(9,15),(9,24),(9,25),(9,82),(9,83),(10,11),(10,12),(10,13),(10,46),(10,80),(10,81),(11,41),(11,49),(11,96),(11,112),(11,113),(12,41),(12,50),(12,97),(12,114),(12,115),(13,49),(13,50),(13,92),(13,146),(14,51),(14,53),(14,92),(14,108),(14,109),(15,52),(15,54),(15,92),(15,110),(15,111),(16,42),(16,55),(16,63),(16,108),(16,139),(17,42),(17,56),(17,64),(17,109),(17,140),(18,43),(18,57),(18,65),(18,108),(18,140),(19,43),(19,58),(19,66),(19,109),(19,139),(20,44),(20,59),(20,67),(20,110),(20,139),(21,44),(21,60),(21,68),(21,111),(21,140),(22,45),(22,61),(22,69),(22,111),(22,139),(23,45),(23,62),(23,70),(23,110),(23,140),(24,49),(24,51),(24,52),(24,71),(24,116),(24,117),(25,50),(25,53),(25,54),(25,71),(25,118),(25,119),(26,55),(26,59),(26,72),(26,76),(26,112),(26,116),(27,56),(27,60),(27,73),(27,76),(27,113),(27,117),(28,58),(28,61),(28,74),(28,77),(28,112),(28,117),(29,57),(29,62),(29,75),(29,77),(29,113),(29,116),(30,63),(30,67),(30,72),(30,78),(30,114),(30,118),(31,64),(31,68),(31,73),(31,78),(31,115),(31,119),(32,66),(32,69),(32,74),(32,79),(32,114),(32,119),(33,65),(33,70),(33,75),(33,79),(33,115),(33,118),(34,43),(34,45),(34,77),(34,79),(34,146),(35,42),(35,44),(35,76),(35,78),(35,146),(36,47),(36,51),(36,55),(36,56),(36,57),(36,58),(36,96),(37,48),(37,52),(37,59),(37,60),(37,61),(37,62),(37,96),(38,47),(38,53),(38,63),(38,64),(38,65),(38,66),(38,97),(39,48),(39,54),(39,67),(39,68),(39,69),(39,70),(39,97),(40,41),(40,47),(40,48),(40,71),(40,72),(40,73),(40,74),(40,75),(41,93),(41,120),(41,121),(41,132),(42,84),(42,88),(42,156),(43,85),(43,89),(43,156),(44,86),(44,90),(44,156),(45,87),(45,91),(45,156),(46,92),(46,96),(46,97),(46,139),(46,140),(47,98),(47,99),(47,100),(47,101),(47,106),(47,132),(48,102),(48,103),(48,104),(48,105),(48,107),(48,132),(49,93),(49,133),(49,151),(50,93),(50,134),(50,152),(51,106),(51,124),(51,125),(51,133),(52,107),(52,126),(52,127),(52,133),(53,106),(53,128),(53,129),(53,134),(54,107),(54,130),(54,131),(54,134),(55,84),(55,98),(55,124),(55,147),(56,84),(56,99),(56,125),(56,148),(57,85),(57,100),(57,124),(57,148),(58,85),(58,101),(58,125),(58,147),(59,86),(59,102),(59,126),(59,147),(60,86),(60,103),(60,127),(60,148),(61,87),(61,104),(61,127),(61,147),(62,87),(62,105),(62,126),(62,148),(63,88),(63,98),(63,128),(63,149),(64,88),(64,99),(64,129),(64,150),(65,89),(65,100),(65,128),(65,150),(66,89),(66,101),(66,129),(66,149),(67,90),(67,102),(67,130),(67,149),(68,90),(68,103),(68,131),(68,150),(69,91),(69,104),(69,131),(69,149),(70,91),(70,105),(70,130),(70,150),(71,93),(71,106),(71,107),(71,122),(71,123),(72,94),(72,98),(72,102),(72,120),(72,122),(73,94),(73,99),(73,103),(73,121),(73,123),(74,95),(74,101),(74,104),(74,120),(74,123),(75,95),(75,100),(75,105),(75,121),(75,122),(76,84),(76,86),(76,94),(76,151),(77,85),(77,87),(77,95),(77,151),(78,88),(78,90),(78,94),(78,152),(79,89),(79,91),(79,95),(79,152),(80,112),(80,114),(80,139),(80,146),(81,113),(81,115),(81,140),(81,146),(82,108),(82,110),(82,116),(82,118),(82,146),(83,109),(83,111),(83,117),(83,119),(83,146),(84,135),(84,157),(85,136),(85,157),(86,137),(86,157),(87,138),(87,157),(88,135),(88,158),(89,136),(89,158),(90,137),(90,158),(91,138),(91,158),(92,133),(92,134),(92,156),(93,141),(93,155),(94,135),(94,137),(94,155),(95,136),(95,138),(95,155),(96,132),(96,133),(96,147),(96,148),(97,132),(97,134),(97,149),(97,150),(98,135),(98,142),(98,153),(99,135),(99,143),(99,154),(100,136),(100,142),(100,154),(101,136),(101,143),(101,153),(102,137),(102,144),(102,153),(103,137),(103,145),(103,154),(104,138),(104,145),(104,153),(105,138),(105,144),(105,154),(106,141),(106,142),(106,143),(107,141),(107,144),(107,145),(108,124),(108,128),(108,156),(109,125),(109,129),(109,156),(110,126),(110,130),(110,156),(111,127),(111,131),(111,156),(112,120),(112,147),(112,151),(113,121),(113,148),(113,151),(114,120),(114,149),(114,152),(115,121),(115,150),(115,152),(116,122),(116,124),(116,126),(116,151),(117,123),(117,125),(117,127),(117,151),(118,122),(118,128),(118,130),(118,152),(119,123),(119,129),(119,131),(119,152),(120,153),(120,155),(121,154),(121,155),(122,142),(122,144),(122,155),(123,143),(123,145),(123,155),(124,142),(124,157),(125,143),(125,157),(126,144),(126,157),(127,145),(127,157),(128,142),(128,158),(129,143),(129,158),(130,144),(130,158),(131,145),(131,158),(132,141),(132,153),(132,154),(133,141),(133,157),(134,141),(134,158),(135,159),(136,159),(137,159),(138,159),(139,147),(139,149),(139,156),(140,148),(140,150),(140,156),(141,159),(142,159),(143,159),(144,159),(145,159),(146,151),(146,152),(146,156),(147,153),(147,157),(148,154),(148,157),(149,153),(149,158),(150,154),(150,158),(151,155),(151,157),(152,155),(152,158),(153,159),(154,159),(155,159),(156,157),(156,158),(157,159),(158,159)],160)=>72 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,14),(1,22),(1,23),(1,32),(1,36),(1,40),(1,48),(1,90),(1,94),(2,13),(2,21),(2,23),(2,31),(2,35),(2,39),(2,47),(2,89),(2,93),(3,16),(3,19),(3,24),(3,34),(3,35),(3,41),(3,49),(3,90),(3,91),(4,15),(4,20),(4,24),(4,33),(4,36),(4,42),(4,50),(4,89),(4,92),(5,15),(5,19),(5,25),(5,31),(5,38),(5,43),(5,51),(5,87),(5,94),(6,16),(6,20),(6,25),(6,32),(6,37),(6,44),(6,52),(6,88),(6,93),(7,13),(7,22),(7,26),(7,33),(7,37),(7,45),(7,53),(7,87),(7,91),(8,14),(8,21),(8,26),(8,34),(8,38),(8,46),(8,54),(8,88),(8,92),(9,18),(9,29),(9,30),(9,43),(9,44),(9,45),(9,46),(9,89),(9,90),(10,18),(10,27),(10,28),(10,39),(10,40),(10,41),(10,42),(10,87),(10,88),(11,17),(11,28),(11,30),(11,49),(11,50),(11,53),(11,54),(11,93),(11,94),(12,17),(12,27),(12,29),(12,47),(12,48),(12,51),(12,52),(12,91),(12,92),(13,95),(13,101),(13,103),(13,109),(13,127),(14,96),(14,102),(14,104),(14,110),(14,127),(15,97),(15,99),(15,106),(15,108),(15,126),(16,98),(16,100),(16,105),(16,107),(16,126),(17,115),(17,116),(17,117),(17,118),(17,125),(18,111),(18,112),(18,113),(18,114),(18,125),(19,63),(19,68),(19,126),(19,132),(19,139),(20,64),(20,67),(20,126),(20,133),(20,138),(21,65),(21,69),(21,127),(21,134),(21,136),(22,66),(22,70),(22,127),(22,135),(22,137),(23,55),(23,59),(23,127),(23,129),(23,131),(24,56),(24,60),(24,126),(24,129),(24,130),(25,57),(25,61),(25,126),(25,128),(25,131),(26,58),(26,62),(26,127),(26,128),(26,130),(27,71),(27,72),(27,125),(27,132),(27,133),(28,73),(28,74),(28,125),(28,134),(28,135),(29,75),(29,76),(29,125),(29,136),(29,137),(30,77),(30,78),(30,125),(30,138),(30,139),(31,63),(31,69),(31,83),(31,95),(31,99),(31,131),(32,64),(32,70),(32,84),(32,96),(32,100),(32,131),(33,66),(33,67),(33,85),(33,97),(33,101),(33,130),(34,65),(34,68),(34,86),(34,98),(34,102),(34,130),(35,63),(35,65),(35,79),(35,103),(35,105),(35,129),(36,64),(36,66),(36,80),(36,104),(36,106),(36,129),(37,67),(37,70),(37,81),(37,107),(37,109),(37,128),(38,68),(38,69),(38,82),(38,108),(38,110),(38,128),(39,55),(39,71),(39,79),(39,95),(39,111),(39,134),(40,55),(40,72),(40,80),(40,96),(40,112),(40,135),(41,56),(41,73),(41,79),(41,98),(41,112),(41,132),(42,56),(42,74),(42,80),(42,97),(42,111),(42,133),(43,57),(43,75),(43,82),(43,99),(43,113),(43,139),(44,57),(44,76),(44,81),(44,100),(44,114),(44,138),(45,58),(45,77),(45,81),(45,101),(45,113),(45,137),(46,58),(46,78),(46,82),(46,102),(46,114),(46,136),(47,59),(47,71),(47,83),(47,103),(47,115),(47,136),(48,59),(48,72),(48,84),(48,104),(48,116),(48,137),(49,60),(49,73),(49,86),(49,105),(49,117),(49,139),(50,60),(50,74),(50,85),(50,106),(50,118),(50,138),(51,61),(51,75),(51,83),(51,108),(51,116),(51,132),(52,61),(52,76),(52,84),(52,107),(52,115),(52,133),(53,62),(53,77),(53,85),(53,109),(53,117),(53,135),(54,62),(54,78),(54,86),(54,110),(54,118),(54,134),(55,121),(55,144),(55,157),(56,122),(56,144),(56,156),(57,123),(57,145),(57,159),(58,124),(58,145),(58,158),(59,121),(59,146),(59,158),(60,122),(60,147),(60,159),(61,123),(61,146),(61,156),(62,124),(62,147),(62,157),(63,119),(63,148),(63,159),(64,120),(64,149),(64,159),(65,119),(65,150),(65,158),(66,120),(66,151),(66,158),(67,120),(67,154),(67,156),(68,119),(68,155),(68,156),(69,119),(69,152),(69,157),(70,120),(70,153),(70,157),(71,121),(71,148),(71,160),(72,121),(72,149),(72,161),(73,122),(73,150),(73,161),(74,122),(74,151),(74,160),(75,123),(75,152),(75,161),(76,123),(76,153),(76,160),(77,124),(77,154),(77,161),(78,124),(78,155),(78,160),(79,144),(79,148),(79,150),(80,144),(80,149),(80,151),(81,145),(81,153),(81,154),(82,145),(82,152),(82,155),(83,146),(83,148),(83,152),(84,146),(84,149),(84,153),(85,147),(85,151),(85,154),(86,147),(86,150),(86,155),(87,95),(87,97),(87,113),(87,128),(87,132),(87,135),(88,96),(88,98),(88,114),(88,128),(88,133),(88,134),(89,99),(89,101),(89,111),(89,129),(89,136),(89,138),(90,100),(90,102),(90,112),(90,129),(90,137),(90,139),(91,103),(91,107),(91,117),(91,130),(91,132),(91,137),(92,104),(92,108),(92,118),(92,130),(92,133),(92,136),(93,105),(93,109),(93,115),(93,131),(93,134),(93,138),(94,106),(94,110),(94,116),(94,131),(94,135),(94,139),(95,140),(95,148),(95,157),(96,141),(96,149),(96,157),(97,140),(97,151),(97,156),(98,141),(98,150),(98,156),(99,140),(99,152),(99,159),(100,141),(100,153),(100,159),(101,140),(101,154),(101,158),(102,141),(102,155),(102,158),(103,142),(103,148),(103,158),(104,143),(104,149),(104,158),(105,142),(105,150),(105,159),(106,143),(106,151),(106,159),(107,142),(107,153),(107,156),(108,143),(108,152),(108,156),(109,142),(109,154),(109,157),(110,143),(110,155),(110,157),(111,140),(111,144),(111,160),(112,141),(112,144),(112,161),(113,140),(113,145),(113,161),(114,141),(114,145),(114,160),(115,142),(115,146),(115,160),(116,143),(116,146),(116,161),(117,142),(117,147),(117,161),(118,143),(118,147),(118,160),(119,162),(120,162),(121,162),(122,162),(123,162),(124,162),(125,160),(125,161),(126,156),(126,159),(127,157),(127,158),(128,145),(128,156),(128,157),(129,144),(129,158),(129,159),(130,147),(130,156),(130,158),(131,146),(131,157),(131,159),(132,148),(132,156),(132,161),(133,149),(133,156),(133,160),(134,150),(134,157),(134,160),(135,151),(135,157),(135,161),(136,152),(136,158),(136,160),(137,153),(137,158),(137,161),(138,154),(138,159),(138,160),(139,155),(139,159),(139,161),(140,162),(141,162),(142,162),(143,162),(144,162),(145,162),(146,162),(147,162),(148,162),(149,162),(150,162),(151,162),(152,162),(153,162),(154,162),(155,162),(156,162),(157,162),(158,162),(159,162),(160,162),(161,162)],163)=>22 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(0,13),(1,25),(1,30),(1,31),(1,36),(1,37),(1,40),(1,43),(1,46),(1,64),(1,65),(2,24),(2,27),(2,29),(2,33),(2,35),(2,39),(2,42),(2,45),(2,63),(2,65),(3,23),(3,26),(3,28),(3,32),(3,34),(3,38),(3,41),(3,44),(3,63),(3,64),(4,20),(4,21),(4,22),(4,23),(4,24),(4,25),(4,90),(4,91),(4,92),(5,16),(5,28),(5,29),(5,43),(5,47),(5,48),(5,84),(5,85),(5,90),(6,14),(6,26),(6,30),(6,42),(6,49),(6,51),(6,84),(6,86),(6,91),(7,15),(7,27),(7,31),(7,41),(7,50),(7,52),(7,85),(7,86),(7,92),(8,19),(8,34),(8,35),(8,46),(8,49),(8,50),(8,87),(8,88),(8,90),(9,17),(9,32),(9,36),(9,45),(9,47),(9,52),(9,87),(9,89),(9,91),(10,18),(10,33),(10,37),(10,44),(10,48),(10,51),(10,88),(10,89),(10,92),(11,15),(11,18),(11,20),(11,38),(11,62),(11,65),(11,84),(11,87),(12,14),(12,17),(12,21),(12,39),(12,62),(12,64),(12,85),(12,88),(13,16),(13,19),(13,22),(13,40),(13,62),(13,63),(13,86),(13,89),(14,67),(14,94),(14,97),(14,112),(14,146),(15,66),(15,93),(15,98),(15,113),(15,146),(16,68),(16,95),(16,96),(16,114),(16,146),(17,70),(17,94),(17,100),(17,116),(17,145),(18,69),(18,93),(18,101),(18,115),(18,145),(19,71),(19,95),(19,99),(19,117),(19,145),(20,59),(20,93),(20,102),(20,111),(20,148),(21,60),(21,94),(21,102),(21,110),(21,149),(22,61),(22,95),(22,102),(22,109),(22,150),(23,59),(23,103),(23,105),(23,109),(23,110),(23,124),(24,60),(24,104),(24,106),(24,109),(24,111),(24,125),(25,61),(25,107),(25,108),(25,110),(25,111),(25,126),(26,53),(26,80),(26,97),(26,103),(26,118),(26,139),(27,54),(27,81),(27,98),(27,104),(27,119),(27,139),(28,55),(28,78),(28,96),(28,105),(28,118),(28,140),(29,56),(29,79),(29,96),(29,106),(29,119),(29,141),(30,57),(30,83),(30,97),(30,107),(30,120),(30,141),(31,58),(31,82),(31,98),(31,108),(31,120),(31,140),(32,55),(32,74),(32,100),(32,103),(32,121),(32,142),(33,56),(33,75),(33,101),(33,104),(33,122),(33,142),(34,53),(34,72),(34,99),(34,105),(34,121),(34,143),(35,54),(35,73),(35,99),(35,106),(35,122),(35,144),(36,58),(36,77),(36,100),(36,107),(36,123),(36,144),(37,57),(37,76),(37,101),(37,108),(37,123),(37,143),(38,59),(38,66),(38,69),(38,118),(38,121),(38,147),(39,60),(39,67),(39,70),(39,119),(39,122),(39,147),(40,61),(40,68),(40,71),(40,120),(40,123),(40,147),(41,66),(41,72),(41,74),(41,124),(41,139),(41,140),(42,67),(42,73),(42,75),(42,125),(42,139),(42,141),(43,68),(43,76),(43,77),(43,126),(43,140),(43,141),(44,69),(44,78),(44,80),(44,124),(44,142),(44,143),(45,70),(45,79),(45,81),(45,125),(45,142),(45,144),(46,71),(46,82),(46,83),(46,126),(46,143),(46,144),(47,55),(47,77),(47,79),(47,114),(47,116),(47,148),(48,56),(48,76),(48,78),(48,114),(48,115),(48,149),(49,53),(49,73),(49,83),(49,112),(49,117),(49,148),(50,54),(50,72),(50,82),(50,113),(50,117),(50,149),(51,57),(51,75),(51,80),(51,112),(51,115),(51,150),(52,58),(52,74),(52,81),(52,113),(52,116),(52,150),(53,152),(53,154),(53,158),(54,153),(54,154),(54,159),(55,151),(55,155),(55,158),(56,151),(56,156),(56,159),(57,152),(57,156),(57,160),(58,153),(58,155),(58,160),(59,127),(59,157),(59,158),(60,128),(60,157),(60,159),(61,129),(61,157),(61,160),(62,102),(62,145),(62,146),(62,147),(63,96),(63,99),(63,109),(63,139),(63,142),(63,147),(64,97),(64,100),(64,110),(64,140),(64,143),(64,147),(65,98),(65,101),(65,111),(65,141),(65,144),(65,147),(66,127),(66,130),(66,164),(67,128),(67,131),(67,164),(68,129),(68,132),(68,164),(69,127),(69,133),(69,165),(70,128),(70,134),(70,165),(71,129),(71,135),(71,165),(72,130),(72,154),(72,162),(73,131),(73,154),(73,163),(74,130),(74,155),(74,161),(75,131),(75,156),(75,161),(76,132),(76,156),(76,162),(77,132),(77,155),(77,163),(78,133),(78,151),(78,162),(79,134),(79,151),(79,163),(80,133),(80,152),(80,161),(81,134),(81,153),(81,161),(82,135),(82,153),(82,162),(83,135),(83,152),(83,163),(84,115),(84,118),(84,141),(84,146),(84,148),(85,116),(85,119),(85,140),(85,146),(85,149),(86,117),(86,120),(86,139),(86,146),(86,150),(87,113),(87,121),(87,144),(87,145),(87,148),(88,112),(88,122),(88,143),(88,145),(88,149),(89,114),(89,123),(89,142),(89,145),(89,150),(90,95),(90,105),(90,106),(90,126),(90,148),(90,149),(91,94),(91,103),(91,107),(91,125),(91,148),(91,150),(92,93),(92,104),(92,108),(92,124),(92,149),(92,150),(93,127),(93,138),(93,166),(94,128),(94,137),(94,166),(95,129),(95,136),(95,166),(96,136),(96,151),(96,164),(97,137),(97,152),(97,164),(98,138),(98,153),(98,164),(99,136),(99,154),(99,165),(100,137),(100,155),(100,165),(101,138),(101,156),(101,165),(102,157),(102,166),(103,137),(103,158),(103,161),(104,138),(104,159),(104,161),(105,136),(105,158),(105,162),(106,136),(106,159),(106,163),(107,137),(107,160),(107,163),(108,138),(108,160),(108,162),(109,136),(109,157),(109,161),(110,137),(110,157),(110,162),(111,138),(111,157),(111,163),(112,131),(112,152),(112,166),(113,130),(113,153),(113,166),(114,132),(114,151),(114,166),(115,133),(115,156),(115,166),(116,134),(116,155),(116,166),(117,135),(117,154),(117,166),(118,133),(118,158),(118,164),(119,134),(119,159),(119,164),(120,135),(120,160),(120,164),(121,130),(121,158),(121,165),(122,131),(122,159),(122,165),(123,132),(123,160),(123,165),(124,127),(124,161),(124,162),(125,128),(125,161),(125,163),(126,129),(126,162),(126,163),(127,167),(128,167),(129,167),(130,167),(131,167),(132,167),(133,167),(134,167),(135,167),(136,167),(137,167),(138,167),(139,154),(139,161),(139,164),(140,155),(140,162),(140,164),(141,156),(141,163),(141,164),(142,151),(142,161),(142,165),(143,152),(143,162),(143,165),(144,153),(144,163),(144,165),(145,165),(145,166),(146,164),(146,166),(147,157),(147,164),(147,165),(148,158),(148,163),(148,166),(149,159),(149,162),(149,166),(150,160),(150,161),(150,166),(151,167),(152,167),(153,167),(154,167),(155,167),(156,167),(157,167),(158,167),(159,167),(160,167),(161,167),(162,167),(163,167),(164,167),(165,167),(166,167)],168)=>37 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(1,21),(1,25),(1,29),(1,33),(1,38),(1,39),(1,87),(2,12),(2,20),(2,24),(2,28),(2,32),(2,36),(2,37),(2,87),(3,15),(3,23),(3,27),(3,31),(3,35),(3,37),(3,39),(3,86),(4,14),(4,22),(4,26),(4,30),(4,34),(4,36),(4,38),(4,86),(5,17),(5,24),(5,25),(5,26),(5,27),(5,42),(5,43),(5,85),(6,16),(6,20),(6,21),(6,22),(6,23),(6,40),(6,41),(6,85),(7,19),(7,32),(7,33),(7,34),(7,35),(7,41),(7,43),(7,84),(8,18),(8,28),(8,29),(8,30),(8,31),(8,40),(8,42),(8,84),(9,11),(9,16),(9,17),(9,18),(9,19),(9,86),(9,87),(10,11),(10,12),(10,13),(10,14),(10,15),(10,84),(10,85),(11,104),(11,105),(11,106),(11,107),(12,44),(12,45),(12,104),(12,108),(12,112),(13,46),(13,47),(13,104),(13,109),(13,113),(14,44),(14,46),(14,105),(14,110),(14,114),(15,45),(15,47),(15,105),(15,111),(15,115),(16,48),(16,49),(16,106),(16,116),(16,117),(17,50),(17,51),(17,106),(17,118),(17,119),(18,48),(18,50),(18,107),(18,120),(18,121),(19,49),(19,51),(19,107),(19,122),(19,123),(20,52),(20,53),(20,68),(20,72),(20,108),(20,116),(21,54),(21,55),(21,69),(21,73),(21,109),(21,116),(22,52),(22,54),(22,70),(22,74),(22,110),(22,117),(23,53),(23,55),(23,71),(23,75),(23,111),(23,117),(24,56),(24,57),(24,76),(24,80),(24,108),(24,118),(25,58),(25,59),(25,77),(25,81),(25,109),(25,118),(26,56),(26,58),(26,78),(26,82),(26,110),(26,119),(27,57),(27,59),(27,79),(27,83),(27,111),(27,119),(28,60),(28,61),(28,68),(28,76),(28,112),(28,120),(29,62),(29,63),(29,69),(29,77),(29,113),(29,120),(30,60),(30,62),(30,70),(30,78),(30,114),(30,121),(31,61),(31,63),(31,71),(31,79),(31,115),(31,121),(32,64),(32,65),(32,72),(32,80),(32,112),(32,122),(33,66),(33,67),(33,73),(33,81),(33,113),(33,122),(34,64),(34,66),(34,74),(34,82),(34,114),(34,123),(35,65),(35,67),(35,75),(35,83),(35,115),(35,123),(36,44),(36,52),(36,56),(36,60),(36,64),(36,141),(37,45),(37,53),(37,57),(37,61),(37,65),(37,141),(38,46),(38,54),(38,58),(38,62),(38,66),(38,141),(39,47),(39,55),(39,59),(39,63),(39,67),(39,141),(40,48),(40,68),(40,69),(40,70),(40,71),(40,140),(41,49),(41,72),(41,73),(41,74),(41,75),(41,140),(42,50),(42,76),(42,77),(42,78),(42,79),(42,140),(43,51),(43,80),(43,81),(43,82),(43,83),(43,140),(44,124),(44,128),(44,154),(45,125),(45,129),(45,154),(46,126),(46,130),(46,154),(47,127),(47,131),(47,154),(48,132),(48,133),(48,155),(49,134),(49,135),(49,155),(50,136),(50,137),(50,155),(51,138),(51,139),(51,155),(52,88),(52,92),(52,124),(52,150),(53,89),(53,93),(53,125),(53,150),(54,90),(54,94),(54,126),(54,150),(55,91),(55,95),(55,127),(55,150),(56,96),(56,100),(56,124),(56,151),(57,97),(57,101),(57,125),(57,151),(58,98),(58,102),(58,126),(58,151),(59,99),(59,103),(59,127),(59,151),(60,88),(60,96),(60,128),(60,152),(61,89),(61,97),(61,129),(61,152),(62,90),(62,98),(62,130),(62,152),(63,91),(63,99),(63,131),(63,152),(64,92),(64,100),(64,128),(64,153),(65,93),(65,101),(65,129),(65,153),(66,94),(66,102),(66,130),(66,153),(67,95),(67,103),(67,131),(67,153),(68,88),(68,89),(68,132),(68,146),(69,90),(69,91),(69,132),(69,147),(70,88),(70,90),(70,133),(70,148),(71,89),(71,91),(71,133),(71,149),(72,92),(72,93),(72,134),(72,146),(73,94),(73,95),(73,134),(73,147),(74,92),(74,94),(74,135),(74,148),(75,93),(75,95),(75,135),(75,149),(76,96),(76,97),(76,136),(76,146),(77,98),(77,99),(77,136),(77,147),(78,96),(78,98),(78,137),(78,148),(79,97),(79,99),(79,137),(79,149),(80,100),(80,101),(80,138),(80,146),(81,102),(81,103),(81,138),(81,147),(82,100),(82,102),(82,139),(82,148),(83,101),(83,103),(83,139),(83,149),(84,107),(84,112),(84,113),(84,114),(84,115),(84,140),(85,106),(85,108),(85,109),(85,110),(85,111),(85,140),(86,105),(86,117),(86,119),(86,121),(86,123),(86,141),(87,104),(87,116),(87,118),(87,120),(87,122),(87,141),(88,156),(88,160),(89,157),(89,160),(90,158),(90,160),(91,159),(91,160),(92,156),(92,161),(93,157),(93,161),(94,158),(94,161),(95,159),(95,161),(96,156),(96,162),(97,157),(97,162),(98,158),(98,162),(99,159),(99,162),(100,156),(100,163),(101,157),(101,163),(102,158),(102,163),(103,159),(103,163),(104,142),(104,144),(104,154),(105,143),(105,145),(105,154),(106,142),(106,143),(106,155),(107,144),(107,145),(107,155),(108,124),(108,125),(108,142),(108,146),(109,126),(109,127),(109,142),(109,147),(110,124),(110,126),(110,143),(110,148),(111,125),(111,127),(111,143),(111,149),(112,128),(112,129),(112,144),(112,146),(113,130),(113,131),(113,144),(113,147),(114,128),(114,130),(114,145),(114,148),(115,129),(115,131),(115,145),(115,149),(116,132),(116,134),(116,142),(116,150),(117,133),(117,135),(117,143),(117,150),(118,136),(118,138),(118,142),(118,151),(119,137),(119,139),(119,143),(119,151),(120,132),(120,136),(120,144),(120,152),(121,133),(121,137),(121,145),(121,152),(122,134),(122,138),(122,144),(122,153),(123,135),(123,139),(123,145),(123,153),(124,156),(124,164),(125,157),(125,164),(126,158),(126,164),(127,159),(127,164),(128,156),(128,165),(129,157),(129,165),(130,158),(130,165),(131,159),(131,165),(132,160),(132,166),(133,160),(133,167),(134,161),(134,166),(135,161),(135,167),(136,162),(136,166),(137,162),(137,167),(138,163),(138,166),(139,163),(139,167),(140,146),(140,147),(140,148),(140,149),(140,155),(141,150),(141,151),(141,152),(141,153),(141,154),(142,164),(142,166),(143,164),(143,167),(144,165),(144,166),(145,165),(145,167),(146,156),(146,157),(146,166),(147,158),(147,159),(147,166),(148,156),(148,158),(148,167),(149,157),(149,159),(149,167),(150,160),(150,161),(150,164),(151,162),(151,163),(151,164),(152,160),(152,162),(152,165),(153,161),(153,163),(153,165),(154,164),(154,165),(155,166),(155,167),(156,168),(157,168),(158,168),(159,168),(160,168),(161,168),(162,168),(163,168),(164,168),(165,168),(166,168),(167,168)],169)=>81 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,31),(1,32),(1,33),(1,34),(1,39),(1,40),(1,41),(1,42),(1,43),(2,27),(2,28),(2,29),(2,30),(2,35),(2,36),(2,37),(2,38),(2,43),(3,14),(3,16),(3,20),(3,24),(3,25),(3,36),(3,40),(3,91),(4,13),(4,15),(4,19),(4,23),(4,25),(4,35),(4,39),(4,90),(5,13),(5,17),(5,21),(5,24),(5,26),(5,37),(5,41),(5,88),(6,14),(6,18),(6,22),(6,23),(6,26),(6,38),(6,42),(6,89),(7,12),(7,17),(7,18),(7,28),(7,32),(7,90),(7,91),(8,12),(8,15),(8,16),(8,27),(8,31),(8,88),(8,89),(9,11),(9,19),(9,22),(9,29),(9,33),(9,88),(9,91),(10,11),(10,20),(10,21),(10,30),(10,34),(10,89),(10,90),(11,45),(11,47),(11,151),(11,152),(12,44),(12,46),(12,149),(12,150),(13,48),(13,50),(13,124),(13,126),(13,144),(14,49),(14,51),(14,125),(14,127),(14,144),(15,68),(15,76),(15,84),(15,124),(15,149),(16,69),(16,77),(16,84),(16,125),(16,150),(17,70),(17,78),(17,85),(17,126),(17,150),(18,71),(18,79),(18,85),(18,127),(18,149),(19,72),(19,80),(19,86),(19,124),(19,152),(20,73),(20,81),(20,87),(20,125),(20,152),(21,74),(21,82),(21,87),(21,126),(21,151),(22,75),(22,83),(22,86),(22,127),(22,151),(23,52),(23,56),(23,86),(23,144),(23,149),(24,53),(24,57),(24,87),(24,144),(24,150),(25,54),(25,58),(25,84),(25,144),(25,152),(26,55),(26,59),(26,85),(26,144),(26,151),(27,44),(27,60),(27,68),(27,69),(27,116),(27,117),(28,44),(28,61),(28,70),(28,71),(28,118),(28,119),(29,45),(29,62),(29,72),(29,75),(29,116),(29,119),(30,45),(30,63),(30,73),(30,74),(30,117),(30,118),(31,46),(31,60),(31,76),(31,77),(31,120),(31,121),(32,46),(32,61),(32,78),(32,79),(32,122),(32,123),(33,47),(33,62),(33,80),(33,83),(33,120),(33,123),(34,47),(34,63),(34,81),(34,82),(34,121),(34,122),(35,48),(35,52),(35,54),(35,64),(35,68),(35,72),(35,118),(36,49),(36,53),(36,54),(36,65),(36,69),(36,73),(36,119),(37,48),(37,53),(37,55),(37,66),(37,70),(37,74),(37,116),(38,49),(38,52),(38,55),(38,67),(38,71),(38,75),(38,117),(39,50),(39,56),(39,58),(39,64),(39,76),(39,80),(39,122),(40,51),(40,57),(40,58),(40,65),(40,77),(40,81),(40,123),(41,50),(41,57),(41,59),(41,66),(41,78),(41,82),(41,120),(42,51),(42,56),(42,59),(42,67),(42,79),(42,83),(42,121),(43,60),(43,61),(43,62),(43,63),(43,64),(43,65),(43,66),(43,67),(44,104),(44,155),(44,156),(45,105),(45,157),(45,158),(46,104),(46,159),(46,160),(47,105),(47,161),(47,162),(48,114),(48,128),(48,130),(48,153),(49,115),(49,129),(49,131),(49,153),(50,114),(50,132),(50,134),(50,154),(51,115),(51,133),(51,135),(51,154),(52,92),(52,100),(52,153),(52,155),(53,93),(53,101),(53,153),(53,156),(54,94),(54,102),(54,153),(54,158),(55,95),(55,103),(55,153),(55,157),(56,96),(56,100),(56,154),(56,159),(57,97),(57,101),(57,154),(57,160),(58,98),(58,102),(58,154),(58,162),(59,99),(59,103),(59,154),(59,161),(60,104),(60,106),(60,107),(60,136),(60,137),(61,104),(61,108),(61,109),(61,138),(61,139),(62,105),(62,110),(62,113),(62,136),(62,139),(63,105),(63,111),(63,112),(63,137),(63,138),(64,100),(64,102),(64,106),(64,110),(64,114),(64,138),(65,101),(65,102),(65,107),(65,111),(65,115),(65,139),(66,101),(66,103),(66,108),(66,112),(66,114),(66,136),(67,100),(67,103),(67,109),(67,113),(67,115),(67,137),(68,94),(68,106),(68,128),(68,155),(69,94),(69,107),(69,129),(69,156),(70,95),(70,108),(70,130),(70,156),(71,95),(71,109),(71,131),(71,155),(72,92),(72,110),(72,128),(72,158),(73,93),(73,111),(73,129),(73,158),(74,93),(74,112),(74,130),(74,157),(75,92),(75,113),(75,131),(75,157),(76,98),(76,106),(76,132),(76,159),(77,98),(77,107),(77,133),(77,160),(78,99),(78,108),(78,134),(78,160),(79,99),(79,109),(79,135),(79,159),(80,96),(80,110),(80,132),(80,162),(81,97),(81,111),(81,133),(81,162),(82,97),(82,112),(82,134),(82,161),(83,96),(83,113),(83,135),(83,161),(84,94),(84,98),(84,168),(85,95),(85,99),(85,168),(86,92),(86,96),(86,168),(87,93),(87,97),(87,168),(88,116),(88,120),(88,124),(88,150),(88,151),(89,117),(89,121),(89,125),(89,149),(89,151),(90,118),(90,122),(90,126),(90,149),(90,152),(91,119),(91,123),(91,127),(91,150),(91,152),(92,140),(92,169),(93,141),(93,169),(94,142),(94,169),(95,143),(95,169),(96,140),(96,170),(97,141),(97,170),(98,142),(98,170),(99,143),(99,170),(100,140),(100,163),(100,167),(101,141),(101,164),(101,167),(102,142),(102,166),(102,167),(103,143),(103,165),(103,167),(104,163),(104,164),(105,165),(105,166),(106,142),(106,145),(106,163),(107,142),(107,146),(107,164),(108,143),(108,147),(108,164),(109,143),(109,148),(109,163),(110,140),(110,145),(110,166),(111,141),(111,146),(111,166),(112,141),(112,147),(112,165),(113,140),(113,148),(113,165),(114,145),(114,147),(114,167),(115,146),(115,148),(115,167),(116,128),(116,136),(116,156),(116,157),(117,129),(117,137),(117,155),(117,157),(118,130),(118,138),(118,155),(118,158),(119,131),(119,139),(119,156),(119,158),(120,132),(120,136),(120,160),(120,161),(121,133),(121,137),(121,159),(121,161),(122,134),(122,138),(122,159),(122,162),(123,135),(123,139),(123,160),(123,162),(124,128),(124,132),(124,168),(125,129),(125,133),(125,168),(126,130),(126,134),(126,168),(127,131),(127,135),(127,168),(128,145),(128,169),(129,146),(129,169),(130,147),(130,169),(131,148),(131,169),(132,145),(132,170),(133,146),(133,170),(134,147),(134,170),(135,148),(135,170),(136,145),(136,164),(136,165),(137,146),(137,163),(137,165),(138,147),(138,163),(138,166),(139,148),(139,164),(139,166),(140,171),(141,171),(142,171),(143,171),(144,153),(144,154),(144,168),(145,171),(146,171),(147,171),(148,171),(149,155),(149,159),(149,168),(150,156),(150,160),(150,168),(151,157),(151,161),(151,168),(152,158),(152,162),(152,168),(153,167),(153,169),(154,167),(154,170),(155,163),(155,169),(156,164),(156,169),(157,165),(157,169),(158,166),(158,169),(159,163),(159,170),(160,164),(160,170),(161,165),(161,170),(162,166),(162,170),(163,171),(164,171),(165,171),(166,171),(167,171),(168,169),(168,170),(169,171),(170,171)],172)=>56 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(0,13),(1,20),(1,21),(1,22),(1,23),(1,86),(1,87),(1,88),(1,89),(2,25),(2,33),(2,41),(2,47),(2,51),(2,55),(2,86),(2,93),(2,97),(3,24),(3,32),(3,40),(3,46),(3,50),(3,54),(3,86),(3,92),(3,96),(4,26),(4,34),(4,42),(4,44),(4,50),(4,53),(4,87),(4,93),(4,94),(5,27),(5,35),(5,43),(5,45),(5,51),(5,52),(5,87),(5,92),(5,95),(6,28),(6,36),(6,43),(6,44),(6,49),(6,54),(6,88),(6,90),(6,97),(7,29),(7,37),(7,42),(7,45),(7,48),(7,55),(7,88),(7,91),(7,96),(8,31),(8,39),(8,40),(8,47),(8,48),(8,52),(8,89),(8,90),(8,94),(9,30),(9,38),(9,41),(9,46),(9,49),(9,53),(9,89),(9,91),(9,95),(10,15),(10,18),(10,19),(10,21),(10,28),(10,29),(10,30),(10,31),(10,92),(10,93),(11,15),(11,16),(11,17),(11,20),(11,24),(11,25),(11,26),(11,27),(11,90),(11,91),(12,14),(12,17),(12,19),(12,23),(12,34),(12,35),(12,38),(12,39),(12,96),(12,97),(13,14),(13,16),(13,18),(13,22),(13,32),(13,33),(13,36),(13,37),(13,94),(13,95),(14,57),(14,102),(14,103),(14,104),(14,105),(14,138),(15,56),(15,98),(15,99),(15,100),(15,101),(15,138),(16,74),(16,78),(16,79),(16,138),(16,139),(16,140),(17,75),(17,80),(17,81),(17,138),(17,141),(17,142),(18,76),(18,82),(18,83),(18,138),(18,143),(18,144),(19,77),(19,84),(19,85),(19,138),(19,145),(19,146),(20,56),(20,74),(20,75),(20,122),(20,123),(20,151),(21,56),(21,76),(21,77),(21,124),(21,125),(21,152),(22,57),(22,74),(22,76),(22,126),(22,128),(22,153),(23,57),(23,75),(23,77),(23,127),(23,129),(23,154),(24,66),(24,78),(24,98),(24,108),(24,122),(24,141),(25,67),(25,79),(25,99),(25,109),(25,122),(25,142),(26,66),(26,80),(26,99),(26,106),(26,123),(26,139),(27,67),(27,81),(27,98),(27,107),(27,123),(27,140),(28,68),(28,83),(28,101),(28,112),(28,124),(28,146),(29,69),(29,82),(29,100),(29,113),(29,124),(29,145),(30,68),(30,84),(30,100),(30,111),(30,125),(30,143),(31,69),(31,85),(31,101),(31,110),(31,125),(31,144),(32,70),(32,78),(32,102),(32,118),(32,126),(32,143),(33,71),(33,79),(33,103),(33,119),(33,126),(33,144),(34,72),(34,80),(34,105),(34,120),(34,127),(34,146),(35,73),(35,81),(35,104),(35,121),(35,127),(35,145),(36,70),(36,83),(36,103),(36,114),(36,128),(36,139),(37,71),(37,82),(37,102),(37,115),(37,128),(37,140),(38,72),(38,84),(38,104),(38,117),(38,129),(38,141),(39,73),(39,85),(39,105),(39,116),(39,129),(39,142),(40,108),(40,110),(40,116),(40,118),(40,137),(41,109),(41,111),(41,117),(41,119),(41,137),(42,106),(42,113),(42,115),(42,120),(42,136),(43,107),(43,112),(43,114),(43,121),(43,136),(44,59),(44,62),(44,136),(44,139),(44,146),(45,58),(45,63),(45,136),(45,140),(45,145),(46,60),(46,64),(46,137),(46,141),(46,143),(47,61),(47,65),(47,137),(47,142),(47,144),(48,58),(48,61),(48,69),(48,115),(48,116),(48,151),(49,59),(49,60),(49,68),(49,114),(49,117),(49,151),(50,62),(50,64),(50,66),(50,118),(50,120),(50,152),(51,63),(51,65),(51,67),(51,119),(51,121),(51,152),(52,58),(52,65),(52,73),(52,107),(52,110),(52,153),(53,59),(53,64),(53,72),(53,106),(53,111),(53,153),(54,60),(54,62),(54,70),(54,108),(54,112),(54,154),(55,61),(55,63),(55,71),(55,109),(55,113),(55,154),(56,163),(56,164),(56,165),(57,163),(57,166),(57,167),(58,131),(58,161),(58,170),(59,130),(59,162),(59,170),(60,130),(60,159),(60,171),(61,131),(61,160),(61,171),(62,130),(62,155),(62,173),(63,131),(63,156),(63,173),(64,130),(64,157),(64,172),(65,131),(65,158),(65,172),(66,155),(66,157),(66,164),(67,156),(67,158),(67,164),(68,159),(68,162),(68,165),(69,160),(69,161),(69,165),(70,155),(70,159),(70,166),(71,156),(71,160),(71,166),(72,157),(72,162),(72,167),(73,158),(73,161),(73,167),(74,132),(74,163),(74,170),(75,133),(75,163),(75,171),(76,134),(76,163),(76,172),(77,135),(77,163),(77,173),(78,132),(78,155),(78,168),(79,132),(79,156),(79,169),(80,133),(80,157),(80,169),(81,133),(81,158),(81,168),(82,134),(82,160),(82,168),(83,134),(83,159),(83,169),(84,135),(84,162),(84,168),(85,135),(85,161),(85,169),(86,122),(86,126),(86,137),(86,152),(86,154),(87,123),(87,127),(87,136),(87,152),(87,153),(88,124),(88,128),(88,136),(88,151),(88,154),(89,125),(89,129),(89,137),(89,151),(89,153),(90,101),(90,107),(90,108),(90,139),(90,142),(90,151),(91,100),(91,106),(91,109),(91,140),(91,141),(91,151),(92,98),(92,110),(92,112),(92,143),(92,145),(92,152),(93,99),(93,111),(93,113),(93,144),(93,146),(93,152),(94,105),(94,115),(94,118),(94,139),(94,144),(94,153),(95,104),(95,114),(95,119),(95,140),(95,143),(95,153),(96,102),(96,116),(96,120),(96,141),(96,145),(96,154),(97,103),(97,117),(97,121),(97,142),(97,146),(97,154),(98,147),(98,164),(98,168),(99,148),(99,164),(99,169),(100,148),(100,165),(100,168),(101,147),(101,165),(101,169),(102,149),(102,166),(102,168),(103,150),(103,166),(103,169),(104,150),(104,167),(104,168),(105,149),(105,167),(105,169),(106,148),(106,157),(106,170),(107,147),(107,158),(107,170),(108,147),(108,155),(108,171),(109,148),(109,156),(109,171),(110,147),(110,161),(110,172),(111,148),(111,162),(111,172),(112,147),(112,159),(112,173),(113,148),(113,160),(113,173),(114,150),(114,159),(114,170),(115,149),(115,160),(115,170),(116,149),(116,161),(116,171),(117,150),(117,162),(117,171),(118,149),(118,155),(118,172),(119,150),(119,156),(119,172),(120,149),(120,157),(120,173),(121,150),(121,158),(121,173),(122,132),(122,164),(122,171),(123,133),(123,164),(123,170),(124,134),(124,165),(124,173),(125,135),(125,165),(125,172),(126,132),(126,166),(126,172),(127,133),(127,167),(127,173),(128,134),(128,166),(128,170),(129,135),(129,167),(129,171),(130,174),(131,174),(132,174),(133,174),(134,174),(135,174),(136,170),(136,173),(137,171),(137,172),(138,163),(138,168),(138,169),(139,155),(139,169),(139,170),(140,156),(140,168),(140,170),(141,157),(141,168),(141,171),(142,158),(142,169),(142,171),(143,159),(143,168),(143,172),(144,160),(144,169),(144,172),(145,161),(145,168),(145,173),(146,162),(146,169),(146,173),(147,174),(148,174),(149,174),(150,174),(151,165),(151,170),(151,171),(152,164),(152,172),(152,173),(153,167),(153,170),(153,172),(154,166),(154,171),(154,173),(155,174),(156,174),(157,174),(158,174),(159,174),(160,174),(161,174),(162,174),(163,174),(164,174),(165,174),(166,174),(167,174),(168,174),(169,174),(170,174),(171,174),(172,174),(173,174)],175)=>31 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,15),(1,21),(1,27),(1,33),(1,37),(1,42),(1,43),(1,90),(2,14),(2,20),(2,26),(2,32),(2,36),(2,40),(2,41),(2,90),(3,17),(3,23),(3,29),(3,35),(3,39),(3,41),(3,43),(3,89),(4,16),(4,22),(4,28),(4,34),(4,38),(4,40),(4,42),(4,89),(5,19),(5,25),(5,31),(5,36),(5,37),(5,38),(5,39),(5,88),(6,18),(6,24),(6,30),(6,32),(6,33),(6,34),(6,35),(6,88),(7,13),(7,26),(7,27),(7,28),(7,29),(7,30),(7,31),(7,91),(8,12),(8,20),(8,21),(8,22),(8,23),(8,24),(8,25),(8,91),(9,11),(9,14),(9,15),(9,16),(9,17),(9,18),(9,19),(9,91),(10,11),(10,12),(10,13),(10,88),(10,89),(10,90),(11,92),(11,117),(11,118),(11,119),(12,92),(12,120),(12,121),(12,122),(13,92),(13,123),(13,124),(13,125),(14,52),(14,56),(14,60),(14,61),(14,117),(14,126),(15,53),(15,57),(15,62),(15,63),(15,117),(15,127),(16,54),(16,58),(16,60),(16,62),(16,118),(16,128),(17,55),(17,59),(17,61),(17,63),(17,118),(17,129),(18,52),(18,53),(18,54),(18,55),(18,119),(18,130),(19,56),(19,57),(19,58),(19,59),(19,119),(19,131),(20,64),(20,68),(20,72),(20,73),(20,120),(20,126),(21,65),(21,69),(21,74),(21,75),(21,120),(21,127),(22,66),(22,70),(22,72),(22,74),(22,121),(22,128),(23,67),(23,71),(23,73),(23,75),(23,121),(23,129),(24,64),(24,65),(24,66),(24,67),(24,122),(24,130),(25,68),(25,69),(25,70),(25,71),(25,122),(25,131),(26,76),(26,80),(26,84),(26,85),(26,123),(26,126),(27,77),(27,81),(27,86),(27,87),(27,123),(27,127),(28,78),(28,82),(28,84),(28,86),(28,124),(28,128),(29,79),(29,83),(29,85),(29,87),(29,124),(29,129),(30,76),(30,77),(30,78),(30,79),(30,125),(30,130),(31,80),(31,81),(31,82),(31,83),(31,125),(31,131),(32,44),(32,45),(32,52),(32,64),(32,76),(32,145),(33,46),(33,47),(33,53),(33,65),(33,77),(33,145),(34,44),(34,46),(34,54),(34,66),(34,78),(34,146),(35,45),(35,47),(35,55),(35,67),(35,79),(35,146),(36,48),(36,49),(36,56),(36,68),(36,80),(36,145),(37,50),(37,51),(37,57),(37,69),(37,81),(37,145),(38,48),(38,50),(38,58),(38,70),(38,82),(38,146),(39,49),(39,51),(39,59),(39,71),(39,83),(39,146),(40,44),(40,48),(40,60),(40,72),(40,84),(40,144),(41,45),(41,49),(41,61),(41,73),(41,85),(41,144),(42,46),(42,50),(42,62),(42,74),(42,86),(42,144),(43,47),(43,51),(43,63),(43,75),(43,87),(43,144),(44,93),(44,101),(44,109),(44,170),(45,94),(45,102),(45,110),(45,170),(46,95),(46,103),(46,111),(46,170),(47,96),(47,104),(47,112),(47,170),(48,97),(48,105),(48,113),(48,170),(49,98),(49,106),(49,114),(49,170),(50,99),(50,107),(50,115),(50,170),(51,100),(51,108),(51,116),(51,170),(52,93),(52,94),(52,132),(52,159),(53,95),(53,96),(53,133),(53,159),(54,93),(54,95),(54,134),(54,160),(55,94),(55,96),(55,135),(55,160),(56,97),(56,98),(56,136),(56,159),(57,99),(57,100),(57,137),(57,159),(58,97),(58,99),(58,138),(58,160),(59,98),(59,100),(59,139),(59,160),(60,93),(60,97),(60,140),(60,158),(61,94),(61,98),(61,141),(61,158),(62,95),(62,99),(62,142),(62,158),(63,96),(63,100),(63,143),(63,158),(64,101),(64,102),(64,132),(64,162),(65,103),(65,104),(65,133),(65,162),(66,101),(66,103),(66,134),(66,163),(67,102),(67,104),(67,135),(67,163),(68,105),(68,106),(68,136),(68,162),(69,107),(69,108),(69,137),(69,162),(70,105),(70,107),(70,138),(70,163),(71,106),(71,108),(71,139),(71,163),(72,101),(72,105),(72,140),(72,161),(73,102),(73,106),(73,141),(73,161),(74,103),(74,107),(74,142),(74,161),(75,104),(75,108),(75,143),(75,161),(76,109),(76,110),(76,132),(76,165),(77,111),(77,112),(77,133),(77,165),(78,109),(78,111),(78,134),(78,166),(79,110),(79,112),(79,135),(79,166),(80,113),(80,114),(80,136),(80,165),(81,115),(81,116),(81,137),(81,165),(82,113),(82,115),(82,138),(82,166),(83,114),(83,116),(83,139),(83,166),(84,109),(84,113),(84,140),(84,164),(85,110),(85,114),(85,141),(85,164),(86,111),(86,115),(86,142),(86,164),(87,112),(87,116),(87,143),(87,164),(88,119),(88,122),(88,125),(88,145),(88,146),(89,118),(89,121),(89,124),(89,144),(89,146),(90,117),(90,120),(90,123),(90,144),(90,145),(91,92),(91,126),(91,127),(91,128),(91,129),(91,130),(91,131),(92,147),(92,148),(92,149),(93,150),(93,171),(94,151),(94,171),(95,152),(95,171),(96,153),(96,171),(97,154),(97,171),(98,155),(98,171),(99,156),(99,171),(100,157),(100,171),(101,150),(101,172),(102,151),(102,172),(103,152),(103,172),(104,153),(104,172),(105,154),(105,172),(106,155),(106,172),(107,156),(107,172),(108,157),(108,172),(109,150),(109,173),(110,151),(110,173),(111,152),(111,173),(112,153),(112,173),(113,154),(113,173),(114,155),(114,173),(115,156),(115,173),(116,157),(116,173),(117,147),(117,158),(117,159),(118,148),(118,158),(118,160),(119,149),(119,159),(119,160),(120,147),(120,161),(120,162),(121,148),(121,161),(121,163),(122,149),(122,162),(122,163),(123,147),(123,164),(123,165),(124,148),(124,164),(124,166),(125,149),(125,165),(125,166),(126,132),(126,136),(126,140),(126,141),(126,147),(127,133),(127,137),(127,142),(127,143),(127,147),(128,134),(128,138),(128,140),(128,142),(128,148),(129,135),(129,139),(129,141),(129,143),(129,148),(130,132),(130,133),(130,134),(130,135),(130,149),(131,136),(131,137),(131,138),(131,139),(131,149),(132,150),(132,151),(132,168),(133,152),(133,153),(133,168),(134,150),(134,152),(134,169),(135,151),(135,153),(135,169),(136,154),(136,155),(136,168),(137,156),(137,157),(137,168),(138,154),(138,156),(138,169),(139,155),(139,157),(139,169),(140,150),(140,154),(140,167),(141,151),(141,155),(141,167),(142,152),(142,156),(142,167),(143,153),(143,157),(143,167),(144,158),(144,161),(144,164),(144,170),(145,159),(145,162),(145,165),(145,170),(146,160),(146,163),(146,166),(146,170),(147,167),(147,168),(148,167),(148,169),(149,168),(149,169),(150,174),(151,174),(152,174),(153,174),(154,174),(155,174),(156,174),(157,174),(158,167),(158,171),(159,168),(159,171),(160,169),(160,171),(161,167),(161,172),(162,168),(162,172),(163,169),(163,172),(164,167),(164,173),(165,168),(165,173),(166,169),(166,173),(167,174),(168,174),(169,174),(170,171),(170,172),(170,173),(171,174),(172,174),(173,174)],175)=>75 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,22),(1,23),(1,24),(1,38),(1,39),(1,40),(1,41),(1,42),(1,43),(2,17),(2,31),(2,32),(2,33),(2,36),(2,37),(2,39),(2,89),(3,16),(3,29),(3,30),(3,33),(3,34),(3,35),(3,38),(3,88),(4,15),(4,19),(4,27),(4,28),(4,30),(4,37),(4,41),(4,90),(5,14),(5,18),(5,25),(5,26),(5,29),(5,36),(5,40),(5,90),(6,13),(6,21),(6,26),(6,28),(6,32),(6,35),(6,43),(6,91),(7,12),(7,20),(7,25),(7,27),(7,31),(7,34),(7,42),(7,91),(8,18),(8,19),(8,20),(8,21),(8,22),(8,88),(8,89),(9,11),(9,12),(9,13),(9,16),(9,23),(9,89),(9,90),(10,11),(10,14),(10,15),(10,17),(10,24),(10,88),(10,91),(11,44),(11,100),(11,101),(11,152),(12,45),(12,49),(12,100),(12,124),(12,128),(13,46),(13,50),(13,100),(13,125),(13,129),(14,47),(14,51),(14,101),(14,122),(14,130),(15,48),(15,52),(15,101),(15,123),(15,131),(16,45),(16,46),(16,53),(16,126),(16,152),(17,47),(17,48),(17,54),(17,127),(17,152),(18,55),(18,64),(18,65),(18,122),(18,154),(19,56),(19,66),(19,67),(19,123),(19,154),(20,57),(20,64),(20,66),(20,124),(20,153),(21,58),(21,65),(21,67),(21,125),(21,153),(22,55),(22,56),(22,57),(22,58),(22,118),(22,119),(23,44),(23,49),(23,50),(23,53),(23,119),(23,120),(24,44),(24,51),(24,52),(24,54),(24,118),(24,121),(25,64),(25,76),(25,80),(25,84),(25,128),(25,130),(26,65),(26,77),(26,81),(26,85),(26,129),(26,130),(27,66),(27,78),(27,82),(27,86),(27,128),(27,131),(28,67),(28,79),(28,83),(28,87),(28,129),(28,131),(29,68),(29,72),(29,80),(29,81),(29,122),(29,126),(30,69),(30,73),(30,82),(30,83),(30,123),(30,126),(31,70),(31,74),(31,84),(31,86),(31,124),(31,127),(32,71),(32,75),(32,85),(32,87),(32,125),(32,127),(33,59),(33,68),(33,69),(33,70),(33,71),(33,152),(34,45),(34,60),(34,70),(34,80),(34,82),(34,153),(35,46),(35,61),(35,71),(35,81),(35,83),(35,153),(36,47),(36,62),(36,68),(36,84),(36,85),(36,154),(37,48),(37,63),(37,69),(37,86),(37,87),(37,154),(38,53),(38,59),(38,60),(38,61),(38,72),(38,73),(38,118),(39,54),(39,59),(39,62),(39,63),(39,74),(39,75),(39,119),(40,51),(40,55),(40,62),(40,72),(40,76),(40,77),(40,120),(41,52),(41,56),(41,63),(41,73),(41,78),(41,79),(41,120),(42,49),(42,57),(42,60),(42,74),(42,76),(42,78),(42,121),(43,50),(43,58),(43,61),(43,75),(43,77),(43,79),(43,121),(44,146),(44,147),(44,165),(45,106),(45,132),(45,172),(46,107),(46,133),(46,172),(47,108),(47,134),(47,173),(48,109),(48,135),(48,173),(49,106),(49,138),(49,140),(49,146),(50,107),(50,139),(50,141),(50,146),(51,108),(51,136),(51,142),(51,147),(52,109),(52,137),(52,143),(52,147),(53,106),(53,107),(53,144),(53,165),(54,108),(54,109),(54,145),(54,165),(55,102),(55,103),(55,136),(55,167),(56,104),(56,105),(56,137),(56,167),(57,102),(57,104),(57,138),(57,166),(58,103),(58,105),(58,139),(58,166),(59,96),(59,97),(59,98),(59,99),(59,165),(60,98),(60,106),(60,110),(60,112),(60,166),(61,99),(61,107),(61,111),(61,113),(61,166),(62,96),(62,108),(62,114),(62,115),(62,167),(63,97),(63,109),(63,116),(63,117),(63,167),(64,102),(64,160),(64,162),(65,103),(65,160),(65,163),(66,104),(66,161),(66,162),(67,105),(67,161),(67,163),(68,92),(68,93),(68,96),(68,173),(69,94),(69,95),(69,97),(69,173),(70,92),(70,94),(70,98),(70,172),(71,93),(71,95),(71,99),(71,172),(72,96),(72,110),(72,111),(72,136),(72,144),(73,97),(73,112),(73,113),(73,137),(73,144),(74,98),(74,114),(74,116),(74,138),(74,145),(75,99),(75,115),(75,117),(75,139),(75,145),(76,102),(76,110),(76,114),(76,140),(76,142),(77,103),(77,111),(77,115),(77,141),(77,142),(78,104),(78,112),(78,116),(78,140),(78,143),(79,105),(79,113),(79,117),(79,141),(79,143),(80,92),(80,110),(80,132),(80,160),(81,93),(81,111),(81,133),(81,160),(82,94),(82,112),(82,132),(82,161),(83,95),(83,113),(83,133),(83,161),(84,92),(84,114),(84,134),(84,162),(85,93),(85,115),(85,134),(85,163),(86,94),(86,116),(86,135),(86,162),(87,95),(87,117),(87,135),(87,163),(88,118),(88,122),(88,123),(88,152),(88,153),(89,119),(89,124),(89,125),(89,152),(89,154),(90,101),(90,120),(90,126),(90,128),(90,129),(90,154),(91,100),(91,121),(91,127),(91,130),(91,131),(91,153),(92,148),(92,176),(93,149),(93,176),(94,150),(94,176),(95,151),(95,176),(96,148),(96,149),(96,175),(97,150),(97,151),(97,175),(98,148),(98,150),(98,174),(99,149),(99,151),(99,174),(100,146),(100,155),(100,172),(101,147),(101,155),(101,173),(102,168),(102,170),(103,168),(103,171),(104,169),(104,170),(105,169),(105,171),(106,156),(106,174),(107,157),(107,174),(108,158),(108,175),(109,159),(109,175),(110,148),(110,156),(110,168),(111,149),(111,157),(111,168),(112,150),(112,156),(112,169),(113,151),(113,157),(113,169),(114,148),(114,158),(114,170),(115,149),(115,158),(115,171),(116,150),(116,159),(116,170),(117,151),(117,159),(117,171),(118,136),(118,137),(118,165),(118,166),(119,138),(119,139),(119,165),(119,167),(120,140),(120,141),(120,144),(120,147),(120,167),(121,142),(121,143),(121,145),(121,146),(121,166),(122,136),(122,160),(122,173),(123,137),(123,161),(123,173),(124,138),(124,162),(124,172),(125,139),(125,163),(125,172),(126,132),(126,133),(126,144),(126,173),(127,134),(127,135),(127,145),(127,172),(128,132),(128,140),(128,155),(128,162),(129,133),(129,141),(129,155),(129,163),(130,134),(130,142),(130,155),(130,160),(131,135),(131,143),(131,155),(131,161),(132,156),(132,176),(133,157),(133,176),(134,158),(134,176),(135,159),(135,176),(136,168),(136,175),(137,169),(137,175),(138,170),(138,174),(139,171),(139,174),(140,156),(140,164),(140,170),(141,157),(141,164),(141,171),(142,158),(142,164),(142,168),(143,159),(143,164),(143,169),(144,156),(144,157),(144,175),(145,158),(145,159),(145,174),(146,164),(146,174),(147,164),(147,175),(148,177),(149,177),(150,177),(151,177),(152,165),(152,172),(152,173),(153,160),(153,161),(153,166),(153,172),(154,162),(154,163),(154,167),(154,173),(155,164),(155,176),(156,177),(157,177),(158,177),(159,177),(160,168),(160,176),(161,169),(161,176),(162,170),(162,176),(163,171),(163,176),(164,177),(165,174),(165,175),(166,168),(166,169),(166,174),(167,170),(167,171),(167,175),(168,177),(169,177),(170,177),(171,177),(172,174),(172,176),(173,175),(173,176),(174,177),(175,177),(176,177)],178)=>40 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(1,18),(1,37),(1,38),(1,39),(1,40),(1,41),(1,42),(1,43),(2,12),(2,23),(2,24),(2,25),(2,26),(2,36),(2,43),(2,95),(3,11),(3,19),(3,20),(3,21),(3,22),(3,35),(3,42),(3,95),(4,15),(4,20),(4,24),(4,29),(4,30),(4,32),(4,39),(4,94),(5,14),(5,19),(5,23),(5,27),(5,28),(5,31),(5,38),(5,94),(6,17),(6,22),(6,26),(6,28),(6,30),(6,34),(6,41),(6,93),(7,16),(7,21),(7,25),(7,27),(7,29),(7,33),(7,40),(7,93),(8,31),(8,32),(8,33),(8,34),(8,35),(8,36),(8,37),(8,92),(9,14),(9,15),(9,16),(9,17),(9,18),(9,92),(9,95),(10,11),(10,12),(10,13),(10,92),(10,93),(10,94),(11,44),(11,129),(11,130),(11,166),(12,45),(12,131),(12,132),(12,166),(13,44),(13,45),(13,116),(13,133),(13,134),(14,46),(14,58),(14,59),(14,135),(14,164),(15,47),(15,60),(15,61),(15,136),(15,164),(16,48),(16,58),(16,60),(16,137),(16,165),(17,49),(17,59),(17,61),(17,138),(17,165),(18,46),(18,47),(18,48),(18,49),(18,116),(18,139),(19,50),(19,62),(19,63),(19,80),(19,129),(19,135),(20,51),(20,64),(20,65),(20,81),(20,129),(20,136),(21,52),(21,62),(21,64),(21,82),(21,130),(21,137),(22,53),(22,63),(22,65),(22,83),(22,130),(22,138),(23,54),(23,66),(23,67),(23,84),(23,131),(23,135),(24,55),(24,68),(24,69),(24,85),(24,131),(24,136),(25,56),(25,66),(25,68),(25,86),(25,132),(25,137),(26,57),(26,67),(26,69),(26,87),(26,132),(26,138),(27,58),(27,62),(27,66),(27,76),(27,88),(27,167),(28,59),(28,63),(28,67),(28,77),(28,89),(28,167),(29,60),(29,64),(29,68),(29,78),(29,90),(29,167),(30,61),(30,65),(30,69),(30,79),(30,91),(30,167),(31,70),(31,80),(31,84),(31,88),(31,89),(31,164),(32,71),(32,81),(32,85),(32,90),(32,91),(32,164),(33,72),(33,82),(33,86),(33,88),(33,90),(33,165),(34,73),(34,83),(34,87),(34,89),(34,91),(34,165),(35,74),(35,80),(35,81),(35,82),(35,83),(35,166),(36,75),(36,84),(36,85),(36,86),(36,87),(36,166),(37,70),(37,71),(37,72),(37,73),(37,74),(37,75),(37,116),(38,46),(38,50),(38,54),(38,70),(38,76),(38,77),(38,133),(39,47),(39,51),(39,55),(39,71),(39,78),(39,79),(39,133),(40,48),(40,52),(40,56),(40,72),(40,76),(40,78),(40,134),(41,49),(41,53),(41,57),(41,73),(41,77),(41,79),(41,134),(42,44),(42,50),(42,51),(42,52),(42,53),(42,74),(42,139),(43,45),(43,54),(43,55),(43,56),(43,57),(43,75),(43,139),(44,140),(44,141),(44,170),(45,142),(45,143),(45,170),(46,117),(46,118),(46,148),(46,168),(47,119),(47,120),(47,149),(47,168),(48,117),(48,119),(48,150),(48,169),(49,118),(49,120),(49,151),(49,169),(50,108),(50,121),(50,122),(50,140),(50,148),(51,109),(51,123),(51,124),(51,140),(51,149),(52,110),(52,121),(52,123),(52,141),(52,150),(53,111),(53,122),(53,124),(53,141),(53,151),(54,112),(54,125),(54,126),(54,142),(54,148),(55,113),(55,127),(55,128),(55,142),(55,149),(56,114),(56,125),(56,127),(56,143),(56,150),(57,115),(57,126),(57,128),(57,143),(57,151),(58,117),(58,144),(58,178),(59,118),(59,145),(59,178),(60,119),(60,146),(60,178),(61,120),(61,147),(61,178),(62,96),(62,121),(62,144),(62,171),(63,97),(63,122),(63,145),(63,171),(64,98),(64,123),(64,146),(64,171),(65,99),(65,124),(65,147),(65,171),(66,100),(66,125),(66,144),(66,172),(67,101),(67,126),(67,145),(67,172),(68,102),(68,127),(68,146),(68,172),(69,103),(69,128),(69,147),(69,172),(70,104),(70,105),(70,108),(70,112),(70,168),(71,106),(71,107),(71,109),(71,113),(71,168),(72,104),(72,106),(72,110),(72,114),(72,169),(73,105),(73,107),(73,111),(73,115),(73,169),(74,108),(74,109),(74,110),(74,111),(74,170),(75,112),(75,113),(75,114),(75,115),(75,170),(76,104),(76,117),(76,121),(76,125),(76,173),(77,105),(77,118),(77,122),(77,126),(77,173),(78,106),(78,119),(78,123),(78,127),(78,173),(79,107),(79,120),(79,124),(79,128),(79,173),(80,96),(80,97),(80,108),(80,176),(81,98),(81,99),(81,109),(81,176),(82,96),(82,98),(82,110),(82,177),(83,97),(83,99),(83,111),(83,177),(84,100),(84,101),(84,112),(84,176),(85,102),(85,103),(85,113),(85,176),(86,100),(86,102),(86,114),(86,177),(87,101),(87,103),(87,115),(87,177),(88,96),(88,100),(88,104),(88,178),(89,97),(89,101),(89,105),(89,178),(90,98),(90,102),(90,106),(90,178),(91,99),(91,103),(91,107),(91,178),(92,116),(92,164),(92,165),(92,166),(93,130),(93,132),(93,134),(93,165),(93,167),(94,129),(94,131),(94,133),(94,164),(94,167),(95,135),(95,136),(95,137),(95,138),(95,139),(95,166),(96,152),(96,182),(97,153),(97,182),(98,154),(98,182),(99,155),(99,182),(100,156),(100,182),(101,157),(101,182),(102,158),(102,182),(103,159),(103,182),(104,152),(104,156),(104,181),(105,153),(105,157),(105,181),(106,154),(106,158),(106,181),(107,155),(107,159),(107,181),(108,152),(108,153),(108,179),(109,154),(109,155),(109,179),(110,152),(110,154),(110,180),(111,153),(111,155),(111,180),(112,156),(112,157),(112,179),(113,158),(113,159),(113,179),(114,156),(114,158),(114,180),(115,157),(115,159),(115,180),(116,168),(116,169),(116,170),(117,160),(117,181),(118,161),(118,181),(119,162),(119,181),(120,163),(120,181),(121,152),(121,160),(121,174),(122,153),(122,161),(122,174),(123,154),(123,162),(123,174),(124,155),(124,163),(124,174),(125,156),(125,160),(125,175),(126,157),(126,161),(126,175),(127,158),(127,162),(127,175),(128,159),(128,163),(128,175),(129,140),(129,171),(129,176),(130,141),(130,171),(130,177),(131,142),(131,172),(131,176),(132,143),(132,172),(132,177),(133,140),(133,142),(133,168),(133,173),(134,141),(134,143),(134,169),(134,173),(135,144),(135,145),(135,148),(135,176),(136,146),(136,147),(136,149),(136,176),(137,144),(137,146),(137,150),(137,177),(138,145),(138,147),(138,151),(138,177),(139,148),(139,149),(139,150),(139,151),(139,170),(140,174),(140,179),(141,174),(141,180),(142,175),(142,179),(143,175),(143,180),(144,160),(144,182),(145,161),(145,182),(146,162),(146,182),(147,163),(147,182),(148,160),(148,161),(148,179),(149,162),(149,163),(149,179),(150,160),(150,162),(150,180),(151,161),(151,163),(151,180),(152,183),(153,183),(154,183),(155,183),(156,183),(157,183),(158,183),(159,183),(160,183),(161,183),(162,183),(163,183),(164,168),(164,176),(164,178),(165,169),(165,177),(165,178),(166,170),(166,176),(166,177),(167,171),(167,172),(167,173),(167,178),(168,179),(168,181),(169,180),(169,181),(170,179),(170,180),(171,174),(171,182),(172,175),(172,182),(173,174),(173,175),(173,181),(174,183),(175,183),(176,179),(176,182),(177,180),(177,182),(178,181),(178,182),(179,183),(180,183),(181,183),(182,183)],184)=>44 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(0,13),(0,14),(1,16),(1,21),(1,22),(1,28),(1,47),(1,52),(1,53),(1,88),(1,89),(1,91),(2,15),(2,19),(2,20),(2,27),(2,46),(2,50),(2,51),(2,86),(2,87),(2,91),(3,18),(3,24),(3,26),(3,30),(3,49),(3,55),(3,57),(3,87),(3,89),(3,90),(4,17),(4,23),(4,25),(4,29),(4,48),(4,54),(4,56),(4,86),(4,88),(4,90),(5,15),(5,31),(5,32),(5,39),(5,47),(5,54),(5,55),(5,92),(5,93),(5,97),(6,16),(6,33),(6,34),(6,40),(6,46),(6,56),(6,57),(6,94),(6,95),(6,97),(7,17),(7,35),(7,37),(7,41),(7,49),(7,50),(7,52),(7,92),(7,94),(7,96),(8,18),(8,36),(8,38),(8,42),(8,48),(8,51),(8,53),(8,93),(8,95),(8,96),(9,19),(9,23),(9,31),(9,35),(9,44),(9,82),(9,84),(9,89),(9,95),(10,20),(10,24),(10,32),(10,36),(10,45),(10,82),(10,85),(10,88),(10,94),(11,21),(11,25),(11,33),(11,37),(11,45),(11,83),(11,84),(11,87),(11,93),(12,22),(12,26),(12,34),(12,38),(12,44),(12,83),(12,85),(12,86),(12,92),(13,29),(13,30),(13,41),(13,42),(13,43),(13,84),(13,85),(13,91),(13,97),(14,27),(14,28),(14,39),(14,40),(14,43),(14,82),(14,83),(14,90),(14,96),(15,70),(15,71),(15,78),(15,152),(15,153),(15,157),(16,72),(16,73),(16,79),(16,154),(16,155),(16,157),(17,74),(17,76),(17,80),(17,152),(17,154),(17,156),(18,75),(18,77),(18,81),(18,153),(18,155),(18,156),(19,58),(19,70),(19,99),(19,122),(19,134),(19,168),(20,59),(20,71),(20,98),(20,123),(20,134),(20,167),(21,60),(21,72),(21,101),(21,124),(21,135),(21,168),(22,61),(22,73),(22,100),(22,125),(22,135),(22,167),(23,62),(23,74),(23,104),(23,122),(23,136),(23,166),(24,63),(24,75),(24,105),(24,123),(24,137),(24,166),(25,64),(25,76),(25,102),(25,124),(25,136),(25,165),(26,65),(26,77),(26,103),(26,125),(26,137),(26,165),(27,66),(27,78),(27,106),(27,126),(27,134),(27,165),(28,67),(28,79),(28,107),(28,126),(28,135),(28,166),(29,68),(29,80),(29,108),(29,127),(29,136),(29,167),(30,69),(30,81),(30,109),(30,127),(30,137),(30,168),(31,62),(31,70),(31,113),(31,128),(31,138),(31,172),(32,63),(32,71),(32,112),(32,129),(32,138),(32,171),(33,64),(33,72),(33,111),(33,130),(33,139),(33,172),(34,65),(34,73),(34,110),(34,131),(34,139),(34,171),(35,58),(35,74),(35,117),(35,128),(35,140),(35,170),(36,59),(36,75),(36,116),(36,129),(36,141),(36,170),(37,60),(37,76),(37,115),(37,130),(37,140),(37,169),(38,61),(38,77),(38,114),(38,131),(38,141),(38,169),(39,67),(39,78),(39,118),(39,132),(39,138),(39,169),(40,66),(40,79),(40,119),(40,132),(40,139),(40,170),(41,69),(41,80),(41,120),(41,133),(41,140),(41,171),(42,68),(42,81),(42,121),(42,133),(42,141),(42,172),(43,126),(43,127),(43,132),(43,133),(43,158),(44,122),(44,125),(44,128),(44,131),(44,158),(45,123),(45,124),(45,129),(45,130),(45,158),(46,66),(46,98),(46,99),(46,110),(46,111),(46,157),(47,67),(47,100),(47,101),(47,112),(47,113),(47,157),(48,68),(48,102),(48,104),(48,114),(48,116),(48,156),(49,69),(49,103),(49,105),(49,115),(49,117),(49,156),(50,58),(50,98),(50,106),(50,115),(50,120),(50,152),(51,59),(51,99),(51,106),(51,114),(51,121),(51,153),(52,60),(52,100),(52,107),(52,117),(52,120),(52,154),(53,61),(53,101),(53,107),(53,116),(53,121),(53,155),(54,62),(54,102),(54,108),(54,112),(54,118),(54,152),(55,63),(55,103),(55,109),(55,113),(55,118),(55,153),(56,64),(56,104),(56,108),(56,110),(56,119),(56,154),(57,65),(57,105),(57,109),(57,111),(57,119),(57,155),(58,159),(58,173),(58,180),(59,160),(59,173),(59,179),(60,161),(60,174),(60,180),(61,162),(61,174),(61,179),(62,159),(62,175),(62,178),(63,160),(63,176),(63,178),(64,161),(64,175),(64,177),(65,162),(65,176),(65,177),(66,163),(66,173),(66,177),(67,163),(67,174),(67,178),(68,164),(68,175),(68,179),(69,164),(69,176),(69,180),(70,142),(70,159),(70,184),(71,142),(71,160),(71,183),(72,143),(72,161),(72,184),(73,143),(73,162),(73,183),(74,144),(74,159),(74,182),(75,145),(75,160),(75,182),(76,144),(76,161),(76,181),(77,145),(77,162),(77,181),(78,142),(78,163),(78,181),(79,143),(79,163),(79,182),(80,144),(80,164),(80,183),(81,145),(81,164),(81,184),(82,134),(82,138),(82,158),(82,166),(82,170),(83,135),(83,139),(83,158),(83,165),(83,169),(84,136),(84,140),(84,158),(84,168),(84,172),(85,137),(85,141),(85,158),(85,167),(85,171),(86,110),(86,114),(86,122),(86,152),(86,165),(86,167),(87,111),(87,115),(87,123),(87,153),(87,165),(87,168),(88,112),(88,116),(88,124),(88,154),(88,166),(88,167),(89,113),(89,117),(89,125),(89,155),(89,166),(89,168),(90,118),(90,119),(90,127),(90,156),(90,165),(90,166),(91,120),(91,121),(91,126),(91,157),(91,167),(91,168),(92,100),(92,103),(92,128),(92,152),(92,169),(92,171),(93,101),(93,102),(93,129),(93,153),(93,169),(93,172),(94,98),(94,105),(94,130),(94,154),(94,170),(94,171),(95,99),(95,104),(95,131),(95,155),(95,170),(95,172),(96,106),(96,107),(96,133),(96,156),(96,169),(96,170),(97,108),(97,109),(97,132),(97,157),(97,171),(97,172),(98,147),(98,173),(98,183),(99,146),(99,173),(99,184),(100,149),(100,174),(100,183),(101,148),(101,174),(101,184),(102,148),(102,175),(102,181),(103,149),(103,176),(103,181),(104,146),(104,175),(104,182),(105,147),(105,176),(105,182),(106,150),(106,173),(106,181),(107,150),(107,174),(107,182),(108,151),(108,175),(108,183),(109,151),(109,176),(109,184),(110,146),(110,177),(110,183),(111,147),(111,177),(111,184),(112,148),(112,178),(112,183),(113,149),(113,178),(113,184),(114,146),(114,179),(114,181),(115,147),(115,180),(115,181),(116,148),(116,179),(116,182),(117,149),(117,180),(117,182),(118,151),(118,178),(118,181),(119,151),(119,177),(119,182),(120,150),(120,180),(120,183),(121,150),(121,179),(121,184),(122,146),(122,159),(122,186),(123,147),(123,160),(123,186),(124,148),(124,161),(124,186),(125,149),(125,162),(125,186),(126,150),(126,163),(126,186),(127,151),(127,164),(127,186),(128,149),(128,159),(128,185),(129,148),(129,160),(129,185),(130,147),(130,161),(130,185),(131,146),(131,162),(131,185),(132,151),(132,163),(132,185),(133,150),(133,164),(133,185),(134,142),(134,173),(134,186),(135,143),(135,174),(135,186),(136,144),(136,175),(136,186),(137,145),(137,176),(137,186),(138,142),(138,178),(138,185),(139,143),(139,177),(139,185),(140,144),(140,180),(140,185),(141,145),(141,179),(141,185),(142,187),(143,187),(144,187),(145,187),(146,187),(147,187),(148,187),(149,187),(150,187),(151,187),(152,159),(152,181),(152,183),(153,160),(153,181),(153,184),(154,161),(154,182),(154,183),(155,162),(155,182),(155,184),(156,164),(156,181),(156,182),(157,163),(157,183),(157,184),(158,185),(158,186),(159,187),(160,187),(161,187),(162,187),(163,187),(164,187),(165,177),(165,181),(165,186),(166,178),(166,182),(166,186),(167,179),(167,183),(167,186),(168,180),(168,184),(168,186),(169,174),(169,181),(169,185),(170,173),(170,182),(170,185),(171,176),(171,183),(171,185),(172,175),(172,184),(172,185),(173,187),(174,187),(175,187),(176,187),(177,187),(178,187),(179,187),(180,187),(181,187),(182,187),(183,187),(184,187),(185,187),(186,187)],188)=>43 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,21),(1,22),(1,23),(1,39),(1,40),(1,41),(1,42),(1,43),(1,44),(1,45),(2,18),(2,19),(2,20),(2,33),(2,34),(2,35),(2,36),(2,37),(2,38),(2,45),(3,16),(3,17),(3,26),(3,32),(3,35),(3,41),(3,90),(3,91),(4,13),(4,15),(4,25),(4,31),(4,34),(4,40),(4,89),(4,91),(5,12),(5,14),(5,24),(5,30),(5,33),(5,39),(5,89),(5,90),(6,14),(6,15),(6,29),(6,32),(6,36),(6,42),(6,92),(6,93),(7,12),(7,16),(7,27),(7,31),(7,37),(7,43),(7,92),(7,94),(8,13),(8,17),(8,28),(8,30),(8,38),(8,44),(8,93),(8,94),(9,18),(9,21),(9,24),(9,28),(9,46),(9,91),(9,92),(10,19),(10,22),(10,25),(10,27),(10,46),(10,90),(10,93),(11,20),(11,23),(11,26),(11,29),(11,46),(11,89),(11,94),(12,47),(12,53),(12,116),(12,120),(12,158),(13,48),(13,54),(13,117),(13,121),(13,158),(14,49),(14,55),(14,116),(14,119),(14,159),(15,50),(15,56),(15,117),(15,119),(15,160),(16,51),(16,57),(16,118),(16,120),(16,160),(17,52),(17,58),(17,118),(17,121),(17,159),(18,74),(18,78),(18,86),(18,124),(18,125),(18,134),(19,75),(19,77),(19,87),(19,123),(19,126),(19,134),(20,76),(20,79),(20,88),(20,122),(20,127),(20,134),(21,80),(21,84),(21,86),(21,130),(21,131),(21,135),(22,81),(22,83),(22,87),(22,129),(22,132),(22,135),(23,82),(23,85),(23,88),(23,128),(23,133),(23,135),(24,59),(24,74),(24,80),(24,116),(24,174),(25,60),(25,75),(25,81),(25,117),(25,174),(26,61),(26,76),(26,82),(26,118),(26,174),(27,60),(27,77),(27,83),(27,120),(27,173),(28,59),(28,78),(28,84),(28,121),(28,173),(29,61),(29,79),(29,85),(29,119),(29,173),(30,59),(30,62),(30,65),(30,158),(30,159),(31,60),(31,63),(31,66),(31,158),(31,160),(32,61),(32,64),(32,67),(32,159),(32,160),(33,47),(33,49),(33,62),(33,68),(33,74),(33,122),(33,123),(34,48),(34,50),(34,63),(34,69),(34,75),(34,122),(34,124),(35,51),(35,52),(35,64),(35,70),(35,76),(35,123),(35,124),(36,49),(36,50),(36,64),(36,71),(36,79),(36,125),(36,126),(37,47),(37,51),(37,63),(37,72),(37,77),(37,125),(37,127),(38,48),(38,52),(38,62),(38,73),(38,78),(38,126),(38,127),(39,53),(39,55),(39,65),(39,68),(39,80),(39,128),(39,129),(40,54),(40,56),(40,66),(40,69),(40,81),(40,128),(40,130),(41,57),(41,58),(41,67),(41,70),(41,82),(41,129),(41,130),(42,55),(42,56),(42,67),(42,71),(42,85),(42,131),(42,132),(43,53),(43,57),(43,66),(43,72),(43,83),(43,131),(43,133),(44,54),(44,58),(44,65),(44,73),(44,84),(44,132),(44,133),(45,68),(45,69),(45,70),(45,71),(45,72),(45,73),(45,86),(45,87),(45,88),(46,134),(46,135),(46,173),(46,174),(47,110),(47,143),(47,147),(47,167),(48,111),(48,144),(48,148),(48,167),(49,112),(49,143),(49,146),(49,168),(50,113),(50,144),(50,146),(50,169),(51,114),(51,145),(51,147),(51,169),(52,115),(52,145),(52,148),(52,168),(53,110),(53,149),(53,153),(53,170),(54,111),(54,150),(54,154),(54,170),(55,112),(55,149),(55,152),(55,171),(56,113),(56,150),(56,152),(56,172),(57,114),(57,151),(57,153),(57,172),(58,115),(58,151),(58,154),(58,171),(59,98),(59,101),(59,184),(60,99),(60,102),(60,184),(61,100),(61,103),(61,184),(62,95),(62,98),(62,167),(62,168),(63,96),(63,99),(63,167),(63,169),(64,97),(64,100),(64,168),(64,169),(65,95),(65,101),(65,170),(65,171),(66,96),(66,102),(66,170),(66,172),(67,97),(67,103),(67,171),(67,172),(68,95),(68,104),(68,110),(68,112),(68,137),(68,138),(69,96),(69,105),(69,111),(69,113),(69,137),(69,139),(70,97),(70,106),(70,114),(70,115),(70,138),(70,139),(71,97),(71,109),(71,112),(71,113),(71,140),(71,141),(72,96),(72,107),(72,110),(72,114),(72,140),(72,142),(73,95),(73,108),(73,111),(73,115),(73,141),(73,142),(74,98),(74,104),(74,143),(74,175),(75,99),(75,105),(75,144),(75,175),(76,100),(76,106),(76,145),(76,175),(77,99),(77,107),(77,147),(77,176),(78,98),(78,108),(78,148),(78,176),(79,100),(79,109),(79,146),(79,176),(80,101),(80,104),(80,149),(80,177),(81,102),(81,105),(81,150),(81,177),(82,103),(82,106),(82,151),(82,177),(83,102),(83,107),(83,153),(83,178),(84,101),(84,108),(84,154),(84,178),(85,103),(85,109),(85,152),(85,178),(86,104),(86,108),(86,136),(86,139),(86,140),(87,105),(87,107),(87,136),(87,138),(87,141),(88,106),(88,109),(88,136),(88,137),(88,142),(89,119),(89,122),(89,128),(89,158),(89,174),(90,120),(90,123),(90,129),(90,159),(90,174),(91,121),(91,124),(91,130),(91,160),(91,174),(92,116),(92,125),(92,131),(92,160),(92,173),(93,117),(93,126),(93,132),(93,159),(93,173),(94,118),(94,127),(94,133),(94,158),(94,173),(95,155),(95,179),(95,180),(96,156),(96,179),(96,181),(97,157),(97,180),(97,181),(98,155),(98,185),(99,156),(99,185),(100,157),(100,185),(101,155),(101,186),(102,156),(102,186),(103,157),(103,186),(104,155),(104,161),(104,182),(105,156),(105,162),(105,182),(106,157),(106,163),(106,182),(107,156),(107,165),(107,183),(108,155),(108,166),(108,183),(109,157),(109,164),(109,183),(110,161),(110,165),(110,179),(111,162),(111,166),(111,179),(112,161),(112,164),(112,180),(113,162),(113,164),(113,181),(114,163),(114,165),(114,181),(115,163),(115,166),(115,180),(116,143),(116,149),(116,184),(117,144),(117,150),(117,184),(118,145),(118,151),(118,184),(119,146),(119,152),(119,184),(120,147),(120,153),(120,184),(121,148),(121,154),(121,184),(122,137),(122,146),(122,167),(122,175),(123,138),(123,147),(123,168),(123,175),(124,139),(124,148),(124,169),(124,175),(125,140),(125,143),(125,169),(125,176),(126,141),(126,144),(126,168),(126,176),(127,142),(127,145),(127,167),(127,176),(128,137),(128,152),(128,170),(128,177),(129,138),(129,153),(129,171),(129,177),(130,139),(130,154),(130,172),(130,177),(131,140),(131,149),(131,172),(131,178),(132,141),(132,150),(132,171),(132,178),(133,142),(133,151),(133,170),(133,178),(134,136),(134,175),(134,176),(135,136),(135,177),(135,178),(136,182),(136,183),(137,164),(137,179),(137,182),(138,165),(138,180),(138,182),(139,166),(139,181),(139,182),(140,161),(140,181),(140,183),(141,162),(141,180),(141,183),(142,163),(142,179),(142,183),(143,161),(143,185),(144,162),(144,185),(145,163),(145,185),(146,164),(146,185),(147,165),(147,185),(148,166),(148,185),(149,161),(149,186),(150,162),(150,186),(151,163),(151,186),(152,164),(152,186),(153,165),(153,186),(154,166),(154,186),(155,187),(156,187),(157,187),(158,167),(158,170),(158,184),(159,168),(159,171),(159,184),(160,169),(160,172),(160,184),(161,187),(162,187),(163,187),(164,187),(165,187),(166,187),(167,179),(167,185),(168,180),(168,185),(169,181),(169,185),(170,179),(170,186),(171,180),(171,186),(172,181),(172,186),(173,176),(173,178),(173,184),(174,175),(174,177),(174,184),(175,182),(175,185),(176,183),(176,185),(177,182),(177,186),(178,183),(178,186),(179,187),(180,187),(181,187),(182,187),(183,187),(184,185),(184,186),(185,187),(186,187)],188)=>80 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,11),(1,36),(1,37),(1,38),(1,39),(1,40),(1,41),(1,42),(1,43),(2,13),(2,17),(2,22),(2,23),(2,25),(2,31),(2,37),(2,103),(3,12),(3,16),(3,20),(3,21),(3,24),(3,30),(3,36),(3,103),(4,15),(4,19),(4,21),(4,23),(4,27),(4,33),(4,39),(4,102),(5,14),(5,18),(5,20),(5,22),(5,26),(5,32),(5,38),(5,102),(6,16),(6,17),(6,18),(6,19),(6,29),(6,35),(6,41),(6,101),(7,12),(7,13),(7,14),(7,15),(7,28),(7,34),(7,40),(7,101),(8,30),(8,31),(8,32),(8,33),(8,34),(8,35),(8,43),(8,100),(9,24),(9,25),(9,26),(9,27),(9,28),(9,29),(9,42),(9,100),(10,11),(10,100),(10,101),(10,102),(10,103),(11,104),(11,105),(11,106),(11,107),(12,44),(12,68),(12,80),(12,92),(12,93),(12,173),(13,45),(13,69),(13,81),(13,94),(13,95),(13,173),(14,46),(14,70),(14,82),(14,92),(14,94),(14,174),(15,47),(15,71),(15,83),(15,93),(15,95),(15,174),(16,48),(16,72),(16,84),(16,96),(16,97),(16,173),(17,49),(17,73),(17,85),(17,98),(17,99),(17,173),(18,50),(18,74),(18,86),(18,96),(18,98),(18,174),(19,51),(19,75),(19,87),(19,97),(19,99),(19,174),(20,52),(20,76),(20,88),(20,92),(20,96),(20,172),(21,53),(21,77),(21,89),(21,93),(21,97),(21,172),(22,54),(22,78),(22,90),(22,94),(22,98),(22,172),(23,55),(23,79),(23,91),(23,95),(23,99),(23,172),(24,56),(24,68),(24,72),(24,76),(24,77),(24,175),(25,57),(25,69),(25,73),(25,78),(25,79),(25,175),(26,58),(26,70),(26,74),(26,76),(26,78),(26,176),(27,59),(27,71),(27,75),(27,77),(27,79),(27,176),(28,60),(28,68),(28,69),(28,70),(28,71),(28,177),(29,61),(29,72),(29,73),(29,74),(29,75),(29,177),(30,62),(30,80),(30,84),(30,88),(30,89),(30,175),(31,63),(31,81),(31,85),(31,90),(31,91),(31,175),(32,64),(32,82),(32,86),(32,88),(32,90),(32,176),(33,65),(33,83),(33,87),(33,89),(33,91),(33,176),(34,66),(34,80),(34,81),(34,82),(34,83),(34,177),(35,67),(35,84),(35,85),(35,86),(35,87),(35,177),(36,44),(36,48),(36,52),(36,53),(36,56),(36,62),(36,104),(37,45),(37,49),(37,54),(37,55),(37,57),(37,63),(37,104),(38,46),(38,50),(38,52),(38,54),(38,58),(38,64),(38,105),(39,47),(39,51),(39,53),(39,55),(39,59),(39,65),(39,105),(40,44),(40,45),(40,46),(40,47),(40,60),(40,66),(40,106),(41,48),(41,49),(41,50),(41,51),(41,61),(41,67),(41,106),(42,56),(42,57),(42,58),(42,59),(42,60),(42,61),(42,107),(43,62),(43,63),(43,64),(43,65),(43,66),(43,67),(43,107),(44,124),(44,136),(44,148),(44,149),(44,179),(45,125),(45,137),(45,150),(45,151),(45,179),(46,126),(46,138),(46,148),(46,150),(46,180),(47,127),(47,139),(47,149),(47,151),(47,180),(48,128),(48,140),(48,152),(48,153),(48,179),(49,129),(49,141),(49,154),(49,155),(49,179),(50,130),(50,142),(50,152),(50,154),(50,180),(51,131),(51,143),(51,153),(51,155),(51,180),(52,132),(52,144),(52,148),(52,152),(52,178),(53,133),(53,145),(53,149),(53,153),(53,178),(54,134),(54,146),(54,150),(54,154),(54,178),(55,135),(55,147),(55,151),(55,155),(55,178),(56,124),(56,128),(56,132),(56,133),(56,181),(57,125),(57,129),(57,134),(57,135),(57,181),(58,126),(58,130),(58,132),(58,134),(58,182),(59,127),(59,131),(59,133),(59,135),(59,182),(60,124),(60,125),(60,126),(60,127),(60,183),(61,128),(61,129),(61,130),(61,131),(61,183),(62,136),(62,140),(62,144),(62,145),(62,181),(63,137),(63,141),(63,146),(63,147),(63,181),(64,138),(64,142),(64,144),(64,146),(64,182),(65,139),(65,143),(65,145),(65,147),(65,182),(66,136),(66,137),(66,138),(66,139),(66,183),(67,140),(67,141),(67,142),(67,143),(67,183),(68,108),(68,109),(68,124),(68,185),(69,110),(69,111),(69,125),(69,185),(70,108),(70,110),(70,126),(70,186),(71,109),(71,111),(71,127),(71,186),(72,112),(72,113),(72,128),(72,185),(73,114),(73,115),(73,129),(73,185),(74,112),(74,114),(74,130),(74,186),(75,113),(75,115),(75,131),(75,186),(76,108),(76,112),(76,132),(76,187),(77,109),(77,113),(77,133),(77,187),(78,110),(78,114),(78,134),(78,187),(79,111),(79,115),(79,135),(79,187),(80,116),(80,117),(80,136),(80,185),(81,118),(81,119),(81,137),(81,185),(82,116),(82,118),(82,138),(82,186),(83,117),(83,119),(83,139),(83,186),(84,120),(84,121),(84,140),(84,185),(85,122),(85,123),(85,141),(85,185),(86,120),(86,122),(86,142),(86,186),(87,121),(87,123),(87,143),(87,186),(88,116),(88,120),(88,144),(88,187),(89,117),(89,121),(89,145),(89,187),(90,118),(90,122),(90,146),(90,187),(91,119),(91,123),(91,147),(91,187),(92,108),(92,116),(92,148),(92,184),(93,109),(93,117),(93,149),(93,184),(94,110),(94,118),(94,150),(94,184),(95,111),(95,119),(95,151),(95,184),(96,112),(96,120),(96,152),(96,184),(97,113),(97,121),(97,153),(97,184),(98,114),(98,122),(98,154),(98,184),(99,115),(99,123),(99,155),(99,184),(100,107),(100,175),(100,176),(100,177),(101,106),(101,173),(101,174),(101,177),(102,105),(102,172),(102,174),(102,176),(103,104),(103,172),(103,173),(103,175),(104,178),(104,179),(104,181),(105,178),(105,180),(105,182),(106,179),(106,180),(106,183),(107,181),(107,182),(107,183),(108,156),(108,192),(109,157),(109,192),(110,158),(110,192),(111,159),(111,192),(112,160),(112,192),(113,161),(113,192),(114,162),(114,192),(115,163),(115,192),(116,164),(116,192),(117,165),(117,192),(118,166),(118,192),(119,167),(119,192),(120,168),(120,192),(121,169),(121,192),(122,170),(122,192),(123,171),(123,192),(124,156),(124,157),(124,189),(125,158),(125,159),(125,189),(126,156),(126,158),(126,190),(127,157),(127,159),(127,190),(128,160),(128,161),(128,189),(129,162),(129,163),(129,189),(130,160),(130,162),(130,190),(131,161),(131,163),(131,190),(132,156),(132,160),(132,191),(133,157),(133,161),(133,191),(134,158),(134,162),(134,191),(135,159),(135,163),(135,191),(136,164),(136,165),(136,189),(137,166),(137,167),(137,189),(138,164),(138,166),(138,190),(139,165),(139,167),(139,190),(140,168),(140,169),(140,189),(141,170),(141,171),(141,189),(142,168),(142,170),(142,190),(143,169),(143,171),(143,190),(144,164),(144,168),(144,191),(145,165),(145,169),(145,191),(146,166),(146,170),(146,191),(147,167),(147,171),(147,191),(148,156),(148,164),(148,188),(149,157),(149,165),(149,188),(150,158),(150,166),(150,188),(151,159),(151,167),(151,188),(152,160),(152,168),(152,188),(153,161),(153,169),(153,188),(154,162),(154,170),(154,188),(155,163),(155,171),(155,188),(156,193),(157,193),(158,193),(159,193),(160,193),(161,193),(162,193),(163,193),(164,193),(165,193),(166,193),(167,193),(168,193),(169,193),(170,193),(171,193),(172,178),(172,184),(172,187),(173,179),(173,184),(173,185),(174,180),(174,184),(174,186),(175,181),(175,185),(175,187),(176,182),(176,186),(176,187),(177,183),(177,185),(177,186),(178,188),(178,191),(179,188),(179,189),(180,188),(180,190),(181,189),(181,191),(182,190),(182,191),(183,189),(183,190),(184,188),(184,192),(185,189),(185,192),(186,190),(186,192),(187,191),(187,192),(188,193),(189,193),(190,193),(191,193),(192,193)],194)=>50 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(0,13),(0,14),(0,15),(1,40),(1,41),(1,42),(1,43),(1,44),(1,45),(1,82),(1,83),(1,84),(1,85),(2,18),(2,19),(2,25),(2,30),(2,31),(2,37),(2,78),(2,79),(2,81),(2,83),(3,16),(3,17),(3,24),(3,28),(3,29),(3,36),(3,76),(3,77),(3,81),(3,82),(4,21),(4,23),(4,27),(4,33),(4,35),(4,39),(4,77),(4,79),(4,80),(4,85),(5,20),(5,22),(5,26),(5,32),(5,34),(5,38),(5,76),(5,78),(5,80),(5,84),(6,22),(6,23),(6,24),(6,46),(6,47),(6,54),(6,83),(6,86),(6,87),(6,91),(7,20),(7,21),(7,25),(7,48),(7,49),(7,55),(7,82),(7,88),(7,89),(7,91),(8,17),(8,19),(8,26),(8,50),(8,52),(8,56),(8,85),(8,86),(8,88),(8,90),(9,16),(9,18),(9,27),(9,51),(9,53),(9,57),(9,84),(9,87),(9,89),(9,90),(10,28),(10,32),(10,43),(10,48),(10,51),(10,59),(10,79),(10,86),(10,92),(10,94),(11,29),(11,33),(11,42),(11,49),(11,50),(11,60),(11,78),(11,87),(11,92),(11,95),(12,30),(12,34),(12,41),(12,46),(12,53),(12,60),(12,77),(12,88),(12,93),(12,94),(13,31),(13,35),(13,40),(13,47),(13,52),(13,59),(13,76),(13,89),(13,93),(13,95),(14,38),(14,39),(14,45),(14,56),(14,57),(14,58),(14,81),(14,91),(14,94),(14,95),(15,36),(15,37),(15,44),(15,54),(15,55),(15,58),(15,80),(15,90),(15,92),(15,93),(16,61),(16,107),(16,112),(16,126),(16,134),(16,170),(17,62),(17,106),(17,113),(17,127),(17,134),(17,171),(18,63),(18,109),(18,112),(18,129),(18,135),(18,172),(19,64),(19,108),(19,113),(19,128),(19,135),(19,173),(20,65),(20,104),(20,110),(20,132),(20,136),(20,170),(21,66),(21,105),(21,110),(21,133),(21,137),(21,171),(22,67),(22,102),(22,111),(22,130),(22,136),(22,172),(23,68),(23,103),(23,111),(23,131),(23,137),(23,173),(24,69),(24,102),(24,103),(24,126),(24,127),(24,175),(25,70),(25,104),(25,105),(25,128),(25,129),(25,175),(26,71),(26,106),(26,108),(26,130),(26,132),(26,174),(27,72),(27,107),(27,109),(27,131),(27,133),(27,174),(28,61),(28,96),(28,114),(28,127),(28,138),(28,169),(29,62),(29,97),(29,115),(29,126),(29,138),(29,168),(30,63),(30,98),(30,117),(30,128),(30,139),(30,169),(31,64),(31,99),(31,116),(31,129),(31,139),(31,168),(32,65),(32,96),(32,118),(32,130),(32,140),(32,167),(33,66),(33,97),(33,119),(33,131),(33,141),(33,167),(34,67),(34,98),(34,120),(34,132),(34,140),(34,166),(35,68),(35,99),(35,121),(35,133),(35,141),(35,166),(36,69),(36,100),(36,122),(36,134),(36,138),(36,166),(37,70),(37,100),(37,123),(37,135),(37,139),(37,167),(38,71),(38,101),(38,124),(38,136),(38,140),(38,168),(39,72),(39,101),(39,125),(39,137),(39,141),(39,169),(40,73),(40,116),(40,121),(40,142),(40,144),(40,170),(41,74),(41,117),(41,120),(41,142),(41,145),(41,171),(42,74),(42,115),(42,119),(42,143),(42,144),(42,172),(43,73),(43,114),(43,118),(43,143),(43,145),(43,173),(44,75),(44,122),(44,123),(44,142),(44,143),(44,174),(45,75),(45,124),(45,125),(45,144),(45,145),(45,175),(46,67),(46,103),(46,117),(46,148),(46,152),(46,178),(47,68),(47,102),(47,116),(47,149),(47,152),(47,179),(48,65),(48,105),(48,114),(48,146),(48,153),(48,178),(49,66),(49,104),(49,115),(49,147),(49,153),(49,179),(50,62),(50,108),(50,119),(50,147),(50,154),(50,176),(51,61),(51,109),(51,118),(51,146),(51,155),(51,176),(52,64),(52,106),(52,121),(52,149),(52,154),(52,177),(53,63),(53,107),(53,120),(53,148),(53,155),(53,177),(54,69),(54,111),(54,123),(54,150),(54,152),(54,176),(55,70),(55,110),(55,122),(55,150),(55,153),(55,177),(56,71),(56,113),(56,125),(56,151),(56,154),(56,178),(57,72),(57,112),(57,124),(57,151),(57,155),(57,179),(58,75),(58,100),(58,101),(58,150),(58,151),(58,180),(59,73),(59,96),(59,99),(59,146),(59,149),(59,180),(60,74),(60,97),(60,98),(60,147),(60,148),(60,180),(61,181),(61,189),(61,190),(62,181),(62,188),(62,191),(63,182),(63,189),(63,192),(64,182),(64,188),(64,193),(65,183),(65,187),(65,190),(66,184),(66,187),(66,191),(67,183),(67,186),(67,192),(68,184),(68,186),(68,193),(69,181),(69,186),(69,194),(70,182),(70,187),(70,194),(71,183),(71,188),(71,195),(72,184),(72,189),(72,195),(73,185),(73,190),(73,193),(74,185),(74,191),(74,192),(75,185),(75,194),(75,195),(76,96),(76,102),(76,106),(76,166),(76,168),(76,170),(77,97),(77,103),(77,107),(77,166),(77,169),(77,171),(78,98),(78,104),(78,108),(78,167),(78,168),(78,172),(79,99),(79,105),(79,109),(79,167),(79,169),(79,173),(80,101),(80,110),(80,111),(80,166),(80,167),(80,174),(81,100),(81,112),(81,113),(81,168),(81,169),(81,175),(82,114),(82,115),(82,122),(82,170),(82,171),(82,175),(83,116),(83,117),(83,123),(83,172),(83,173),(83,175),(84,118),(84,120),(84,124),(84,170),(84,172),(84,174),(85,119),(85,121),(85,125),(85,171),(85,173),(85,174),(86,127),(86,130),(86,149),(86,173),(86,176),(86,178),(87,126),(87,131),(87,148),(87,172),(87,176),(87,179),(88,128),(88,132),(88,147),(88,171),(88,177),(88,178),(89,129),(89,133),(89,146),(89,170),(89,177),(89,179),(90,134),(90,135),(90,151),(90,174),(90,176),(90,177),(91,136),(91,137),(91,150),(91,175),(91,178),(91,179),(92,138),(92,143),(92,153),(92,167),(92,176),(92,180),(93,139),(93,142),(93,152),(93,166),(93,177),(93,180),(94,140),(94,145),(94,155),(94,169),(94,178),(94,180),(95,141),(95,144),(95,154),(95,168),(95,179),(95,180),(96,156),(96,190),(96,197),(97,157),(97,191),(97,197),(98,158),(98,192),(98,197),(99,159),(99,193),(99,197),(100,160),(100,194),(100,197),(101,161),(101,195),(101,197),(102,156),(102,186),(102,200),(103,157),(103,186),(103,201),(104,158),(104,187),(104,200),(105,159),(105,187),(105,201),(106,156),(106,188),(106,198),(107,157),(107,189),(107,198),(108,158),(108,188),(108,199),(109,159),(109,189),(109,199),(110,161),(110,187),(110,198),(111,161),(111,186),(111,199),(112,160),(112,189),(112,200),(113,160),(113,188),(113,201),(114,162),(114,190),(114,201),(115,162),(115,191),(115,200),(116,163),(116,193),(116,200),(117,163),(117,192),(117,201),(118,164),(118,190),(118,199),(119,165),(119,191),(119,199),(120,164),(120,192),(120,198),(121,165),(121,193),(121,198),(122,162),(122,194),(122,198),(123,163),(123,194),(123,199),(124,164),(124,195),(124,200),(125,165),(125,195),(125,201),(126,157),(126,181),(126,200),(127,156),(127,181),(127,201),(128,158),(128,182),(128,201),(129,159),(129,182),(129,200),(130,156),(130,183),(130,199),(131,157),(131,184),(131,199),(132,158),(132,183),(132,198),(133,159),(133,184),(133,198),(134,160),(134,181),(134,198),(135,160),(135,182),(135,199),(136,161),(136,183),(136,200),(137,161),(137,184),(137,201),(138,162),(138,181),(138,197),(139,163),(139,182),(139,197),(140,164),(140,183),(140,197),(141,165),(141,184),(141,197),(142,163),(142,185),(142,198),(143,162),(143,185),(143,199),(144,165),(144,185),(144,200),(145,164),(145,185),(145,201),(146,159),(146,190),(146,196),(147,158),(147,191),(147,196),(148,157),(148,192),(148,196),(149,156),(149,193),(149,196),(150,161),(150,194),(150,196),(151,160),(151,195),(151,196),(152,163),(152,186),(152,196),(153,162),(153,187),(153,196),(154,165),(154,188),(154,196),(155,164),(155,189),(155,196),(156,202),(157,202),(158,202),(159,202),(160,202),(161,202),(162,202),(163,202),(164,202),(165,202),(166,186),(166,197),(166,198),(167,187),(167,197),(167,199),(168,188),(168,197),(168,200),(169,189),(169,197),(169,201),(170,190),(170,198),(170,200),(171,191),(171,198),(171,201),(172,192),(172,199),(172,200),(173,193),(173,199),(173,201),(174,195),(174,198),(174,199),(175,194),(175,200),(175,201),(176,181),(176,196),(176,199),(177,182),(177,196),(177,198),(178,183),(178,196),(178,201),(179,184),(179,196),(179,200),(180,185),(180,196),(180,197),(181,202),(182,202),(183,202),(184,202),(185,202),(186,202),(187,202),(188,202),(189,202),(190,202),(191,202),(192,202),(193,202),(194,202),(195,202),(196,202),(197,202),(198,202),(199,202),(200,202),(201,202)],203)=>58 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,18),(1,19),(1,37),(1,38),(1,39),(1,40),(1,45),(1,46),(1,47),(1,48),(2,15),(2,21),(2,25),(2,29),(2,35),(2,43),(2,44),(2,46),(2,104),(3,14),(3,20),(3,24),(3,28),(3,34),(3,41),(3,42),(3,45),(3,104),(4,13),(4,23),(4,27),(4,31),(4,33),(4,42),(4,44),(4,48),(4,105),(5,12),(5,22),(5,26),(5,30),(5,32),(5,41),(5,43),(5,47),(5,105),(6,17),(6,22),(6,23),(6,34),(6,35),(6,40),(6,51),(6,52),(7,16),(7,20),(7,21),(7,32),(7,33),(7,39),(7,50),(7,52),(8,28),(8,29),(8,30),(8,31),(8,36),(8,38),(8,49),(8,52),(9,24),(9,25),(9,26),(9,27),(9,36),(9,37),(9,50),(9,51),(10,12),(10,13),(10,16),(10,18),(10,49),(10,51),(10,104),(11,14),(11,15),(11,17),(11,19),(11,49),(11,50),(11,105),(12,53),(12,68),(12,138),(12,148),(12,188),(13,54),(13,69),(13,139),(13,149),(13,188),(14,55),(14,70),(14,140),(14,146),(14,189),(15,56),(15,71),(15,141),(15,147),(15,189),(16,61),(16,68),(16,69),(16,144),(16,192),(17,62),(17,70),(17,71),(17,145),(17,192),(18,53),(18,54),(18,61),(18,107),(18,109),(18,142),(19,55),(19,56),(19,62),(19,107),(19,108),(19,143),(20,57),(20,72),(20,73),(20,144),(20,146),(20,150),(21,58),(21,74),(21,75),(21,144),(21,147),(21,151),(22,59),(22,76),(22,78),(22,145),(22,148),(22,152),(23,60),(23,77),(23,79),(23,145),(23,149),(23,153),(24,88),(24,96),(24,97),(24,102),(24,146),(24,191),(25,89),(25,98),(25,99),(25,103),(25,147),(25,191),(26,90),(26,96),(26,98),(26,100),(26,148),(26,190),(27,91),(27,97),(27,99),(27,101),(27,149),(27,190),(28,84),(28,92),(28,93),(28,102),(28,150),(28,189),(29,85),(29,94),(29,95),(29,103),(29,151),(29,189),(30,86),(30,92),(30,94),(30,100),(30,152),(30,188),(31,87),(31,93),(31,95),(31,101),(31,153),(31,188),(32,68),(32,72),(32,74),(32,80),(32,152),(32,190),(33,69),(33,73),(33,75),(33,81),(33,153),(33,190),(34,70),(34,76),(34,77),(34,82),(34,150),(34,191),(35,71),(35,78),(35,79),(35,83),(35,151),(35,191),(36,63),(36,100),(36,101),(36,102),(36,103),(36,192),(37,63),(37,88),(37,89),(37,90),(37,91),(37,108),(37,109),(38,63),(38,84),(38,85),(38,86),(38,87),(38,106),(38,107),(39,57),(39,58),(39,61),(39,80),(39,81),(39,106),(39,108),(40,59),(40,60),(40,62),(40,82),(40,83),(40,106),(40,109),(41,64),(41,72),(41,76),(41,92),(41,96),(41,138),(41,140),(42,65),(42,73),(42,77),(42,93),(42,97),(42,139),(42,140),(43,66),(43,74),(43,78),(43,94),(43,98),(43,138),(43,141),(44,67),(44,75),(44,79),(44,95),(44,99),(44,139),(44,141),(45,55),(45,57),(45,64),(45,65),(45,82),(45,84),(45,88),(45,142),(46,56),(46,58),(46,66),(46,67),(46,83),(46,85),(46,89),(46,142),(47,53),(47,59),(47,64),(47,66),(47,80),(47,86),(47,90),(47,143),(48,54),(48,60),(48,65),(48,67),(48,81),(48,87),(48,91),(48,143),(49,107),(49,188),(49,189),(49,192),(50,108),(50,146),(50,147),(50,190),(50,192),(51,109),(51,148),(51,149),(51,191),(51,192),(52,106),(52,150),(52,151),(52,152),(52,153),(52,192),(53,114),(53,160),(53,172),(53,197),(54,115),(54,161),(54,173),(54,197),(55,116),(55,158),(55,174),(55,198),(56,117),(56,159),(56,175),(56,198),(57,130),(57,131),(57,158),(57,162),(57,170),(58,132),(58,133),(58,159),(58,163),(58,170),(59,134),(59,136),(59,160),(59,164),(59,171),(60,135),(60,137),(60,161),(60,165),(60,171),(61,114),(61,115),(61,170),(61,201),(62,116),(62,117),(62,171),(62,201),(63,118),(63,119),(63,120),(63,121),(63,201),(64,122),(64,126),(64,130),(64,134),(64,172),(64,174),(65,123),(65,127),(65,131),(65,135),(65,173),(65,174),(66,124),(66,128),(66,132),(66,136),(66,172),(66,175),(67,125),(67,129),(67,133),(67,137),(67,173),(67,175),(68,114),(68,166),(68,208),(69,115),(69,167),(69,208),(70,116),(70,168),(70,209),(71,117),(71,169),(71,209),(72,130),(72,154),(72,166),(72,193),(73,131),(73,155),(73,167),(73,193),(74,132),(74,156),(74,166),(74,194),(75,133),(75,157),(75,167),(75,194),(76,134),(76,154),(76,168),(76,195),(77,135),(77,155),(77,168),(77,196),(78,136),(78,156),(78,169),(78,195),(79,137),(79,157),(79,169),(79,196),(80,114),(80,130),(80,132),(80,164),(80,199),(81,115),(81,131),(81,133),(81,165),(81,199),(82,116),(82,134),(82,135),(82,162),(82,200),(83,117),(83,136),(83,137),(83,163),(83,200),(84,120),(84,126),(84,127),(84,162),(84,198),(85,121),(85,128),(85,129),(85,163),(85,198),(86,118),(86,126),(86,128),(86,164),(86,197),(87,119),(87,127),(87,129),(87,165),(87,197),(88,120),(88,122),(88,123),(88,158),(88,200),(89,121),(89,124),(89,125),(89,159),(89,200),(90,118),(90,122),(90,124),(90,160),(90,199),(91,119),(91,123),(91,125),(91,161),(91,199),(92,110),(92,126),(92,154),(92,206),(93,111),(93,127),(93,155),(93,206),(94,112),(94,128),(94,156),(94,206),(95,113),(95,129),(95,157),(95,206),(96,110),(96,122),(96,193),(96,195),(97,111),(97,123),(97,193),(97,196),(98,112),(98,124),(98,194),(98,195),(99,113),(99,125),(99,194),(99,196),(100,110),(100,112),(100,118),(100,208),(101,111),(101,113),(101,119),(101,208),(102,110),(102,111),(102,120),(102,209),(103,112),(103,113),(103,121),(103,209),(104,138),(104,139),(104,142),(104,144),(104,189),(104,191),(105,140),(105,141),(105,143),(105,145),(105,188),(105,190),(106,162),(106,163),(106,164),(106,165),(106,201),(107,197),(107,198),(107,201),(108,158),(108,159),(108,199),(108,201),(109,160),(109,161),(109,200),(109,201),(110,176),(110,212),(111,177),(111,212),(112,178),(112,212),(113,179),(113,212),(114,184),(114,210),(115,185),(115,210),(116,186),(116,211),(117,187),(117,211),(118,176),(118,178),(118,210),(119,177),(119,179),(119,210),(120,176),(120,177),(120,211),(121,178),(121,179),(121,211),(122,176),(122,202),(122,204),(123,177),(123,202),(123,205),(124,178),(124,203),(124,204),(125,179),(125,203),(125,205),(126,176),(126,180),(126,207),(127,177),(127,181),(127,207),(128,178),(128,182),(128,207),(129,179),(129,183),(129,207),(130,180),(130,184),(130,202),(131,181),(131,185),(131,202),(132,182),(132,184),(132,203),(133,183),(133,185),(133,203),(134,180),(134,186),(134,204),(135,181),(135,186),(135,205),(136,182),(136,187),(136,204),(137,183),(137,187),(137,205),(138,166),(138,172),(138,195),(138,206),(139,167),(139,173),(139,196),(139,206),(140,168),(140,174),(140,193),(140,206),(141,169),(141,175),(141,194),(141,206),(142,170),(142,172),(142,173),(142,198),(142,200),(143,171),(143,174),(143,175),(143,197),(143,199),(144,166),(144,167),(144,170),(144,209),(145,168),(145,169),(145,171),(145,208),(146,158),(146,193),(146,209),(147,159),(147,194),(147,209),(148,160),(148,195),(148,208),(149,161),(149,196),(149,208),(150,154),(150,155),(150,162),(150,209),(151,156),(151,157),(151,163),(151,209),(152,154),(152,156),(152,164),(152,208),(153,155),(153,157),(153,165),(153,208),(154,180),(154,212),(155,181),(155,212),(156,182),(156,212),(157,183),(157,212),(158,202),(158,211),(159,203),(159,211),(160,204),(160,210),(161,205),(161,210),(162,180),(162,181),(162,211),(163,182),(163,183),(163,211),(164,180),(164,182),(164,210),(165,181),(165,183),(165,210),(166,184),(166,212),(167,185),(167,212),(168,186),(168,212),(169,187),(169,212),(170,184),(170,185),(170,211),(171,186),(171,187),(171,210),(172,184),(172,204),(172,207),(173,185),(173,205),(173,207),(174,186),(174,202),(174,207),(175,187),(175,203),(175,207),(176,213),(177,213),(178,213),(179,213),(180,213),(181,213),(182,213),(183,213),(184,213),(185,213),(186,213),(187,213),(188,197),(188,206),(188,208),(189,198),(189,206),(189,209),(190,193),(190,194),(190,199),(190,208),(191,195),(191,196),(191,200),(191,209),(192,201),(192,208),(192,209),(193,202),(193,212),(194,203),(194,212),(195,204),(195,212),(196,205),(196,212),(197,207),(197,210),(198,207),(198,211),(199,202),(199,203),(199,210),(200,204),(200,205),(200,211),(201,210),(201,211),(202,213),(203,213),(204,213),(205,213),(206,207),(206,212),(207,213),(208,210),(208,212),(209,211),(209,212),(210,213),(211,213),(212,213)],214)=>52 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,12),(1,34),(1,35),(1,36),(1,37),(1,38),(1,45),(1,46),(1,47),(1,48),(2,15),(2,19),(2,23),(2,27),(2,31),(2,43),(2,44),(2,46),(2,59),(3,14),(3,18),(3,22),(3,26),(3,30),(3,41),(3,42),(3,45),(3,59),(4,17),(4,21),(4,25),(4,29),(4,33),(4,42),(4,44),(4,48),(4,58),(5,16),(5,20),(5,24),(5,28),(5,32),(5,41),(5,43),(5,47),(5,58),(6,13),(6,14),(6,15),(6,16),(6,17),(6,38),(6,108),(6,109),(7,22),(7,23),(7,24),(7,25),(7,35),(7,40),(7,107),(7,109),(8,18),(8,19),(8,20),(8,21),(8,34),(8,40),(8,106),(8,108),(9,30),(9,31),(9,32),(9,33),(9,37),(9,39),(9,106),(9,109),(10,26),(10,27),(10,28),(10,29),(10,36),(10,39),(10,107),(10,108),(11,12),(11,13),(11,58),(11,59),(11,106),(11,107),(12,49),(12,130),(12,131),(12,132),(12,133),(13,49),(13,128),(13,129),(13,201),(14,50),(14,51),(14,54),(14,128),(14,154),(14,158),(15,52),(15,53),(15,55),(15,128),(15,155),(15,159),(16,50),(16,52),(16,56),(16,129),(16,156),(16,160),(17,51),(17,53),(17,57),(17,129),(17,157),(17,161),(18,66),(18,82),(18,83),(18,98),(18,154),(18,197),(19,67),(19,84),(19,85),(19,99),(19,155),(19,197),(20,68),(20,82),(20,84),(20,100),(20,156),(20,198),(21,69),(21,83),(21,85),(21,101),(21,157),(21,198),(22,70),(22,86),(22,87),(22,98),(22,158),(22,199),(23,71),(23,88),(23,89),(23,99),(23,159),(23,199),(24,72),(24,86),(24,88),(24,100),(24,160),(24,200),(25,73),(25,87),(25,89),(25,101),(25,161),(25,200),(26,74),(26,90),(26,91),(26,102),(26,154),(26,199),(27,75),(27,92),(27,93),(27,103),(27,155),(27,199),(28,76),(28,90),(28,92),(28,104),(28,156),(28,200),(29,77),(29,91),(29,93),(29,105),(29,157),(29,200),(30,78),(30,94),(30,95),(30,102),(30,158),(30,197),(31,79),(31,96),(31,97),(31,103),(31,159),(31,197),(32,80),(32,94),(32,96),(32,104),(32,160),(32,198),(33,81),(33,95),(33,97),(33,105),(33,161),(33,198),(34,60),(34,66),(34,67),(34,68),(34,69),(34,126),(34,130),(35,60),(35,70),(35,71),(35,72),(35,73),(35,127),(35,131),(36,61),(36,74),(36,75),(36,76),(36,77),(36,126),(36,131),(37,61),(37,78),(37,79),(37,80),(37,81),(37,127),(37,130),(38,49),(38,54),(38,55),(38,56),(38,57),(38,126),(38,127),(39,61),(39,102),(39,103),(39,104),(39,105),(39,201),(40,60),(40,98),(40,99),(40,100),(40,101),(40,201),(41,50),(41,62),(41,82),(41,86),(41,90),(41,94),(41,188),(42,51),(42,63),(42,83),(42,87),(42,91),(42,95),(42,188),(43,52),(43,64),(43,84),(43,88),(43,92),(43,96),(43,188),(44,53),(44,65),(44,85),(44,89),(44,93),(44,97),(44,188),(45,54),(45,62),(45,63),(45,66),(45,70),(45,74),(45,78),(45,132),(46,55),(46,64),(46,65),(46,67),(46,71),(46,75),(46,79),(46,132),(47,56),(47,62),(47,64),(47,68),(47,72),(47,76),(47,80),(47,133),(48,57),(48,63),(48,65),(48,69),(48,73),(48,77),(48,81),(48,133),(49,178),(49,179),(49,208),(50,150),(50,162),(50,166),(50,203),(51,151),(51,163),(51,167),(51,203),(52,152),(52,164),(52,168),(52,203),(53,153),(53,165),(53,169),(53,203),(54,150),(54,151),(54,170),(54,174),(54,178),(55,152),(55,153),(55,171),(55,175),(55,178),(56,150),(56,152),(56,172),(56,176),(56,179),(57,151),(57,153),(57,173),(57,177),(57,179),(58,129),(58,133),(58,188),(58,198),(58,200),(59,128),(59,132),(59,188),(59,197),(59,199),(60,118),(60,119),(60,120),(60,121),(60,208),(61,122),(61,123),(61,124),(61,125),(61,208),(62,134),(62,138),(62,142),(62,146),(62,150),(62,202),(63,135),(63,139),(63,143),(63,147),(63,151),(63,202),(64,136),(64,140),(64,144),(64,148),(64,152),(64,202),(65,137),(65,141),(65,145),(65,149),(65,153),(65,202),(66,118),(66,134),(66,135),(66,170),(66,204),(67,119),(67,136),(67,137),(67,171),(67,204),(68,120),(68,134),(68,136),(68,172),(68,205),(69,121),(69,135),(69,137),(69,173),(69,205),(70,118),(70,138),(70,139),(70,174),(70,206),(71,119),(71,140),(71,141),(71,175),(71,206),(72,120),(72,138),(72,140),(72,176),(72,207),(73,121),(73,139),(73,141),(73,177),(73,207),(74,122),(74,142),(74,143),(74,170),(74,206),(75,123),(75,144),(75,145),(75,171),(75,206),(76,124),(76,142),(76,144),(76,172),(76,207),(77,125),(77,143),(77,145),(77,173),(77,207),(78,122),(78,146),(78,147),(78,174),(78,204),(79,123),(79,148),(79,149),(79,175),(79,204),(80,124),(80,146),(80,148),(80,176),(80,205),(81,125),(81,147),(81,149),(81,177),(81,205),(82,110),(82,134),(82,162),(82,210),(83,111),(83,135),(83,163),(83,210),(84,112),(84,136),(84,164),(84,210),(85,113),(85,137),(85,165),(85,210),(86,110),(86,138),(86,166),(86,211),(87,111),(87,139),(87,167),(87,211),(88,112),(88,140),(88,168),(88,211),(89,113),(89,141),(89,169),(89,211),(90,114),(90,142),(90,162),(90,211),(91,115),(91,143),(91,163),(91,211),(92,116),(92,144),(92,164),(92,211),(93,117),(93,145),(93,165),(93,211),(94,114),(94,146),(94,166),(94,210),(95,115),(95,147),(95,167),(95,210),(96,116),(96,148),(96,168),(96,210),(97,117),(97,149),(97,169),(97,210),(98,110),(98,111),(98,118),(98,212),(99,112),(99,113),(99,119),(99,212),(100,110),(100,112),(100,120),(100,213),(101,111),(101,113),(101,121),(101,213),(102,114),(102,115),(102,122),(102,212),(103,116),(103,117),(103,123),(103,212),(104,114),(104,116),(104,124),(104,213),(105,115),(105,117),(105,125),(105,213),(106,130),(106,197),(106,198),(106,201),(107,131),(107,199),(107,200),(107,201),(108,126),(108,154),(108,155),(108,156),(108,157),(108,201),(109,127),(109,158),(109,159),(109,160),(109,161),(109,201),(110,180),(110,218),(111,181),(111,218),(112,182),(112,218),(113,183),(113,218),(114,184),(114,218),(115,185),(115,218),(116,186),(116,218),(117,187),(117,218),(118,180),(118,181),(118,216),(119,182),(119,183),(119,216),(120,180),(120,182),(120,217),(121,181),(121,183),(121,217),(122,184),(122,185),(122,216),(123,186),(123,187),(123,216),(124,184),(124,186),(124,217),(125,185),(125,187),(125,217),(126,170),(126,171),(126,172),(126,173),(126,208),(127,174),(127,175),(127,176),(127,177),(127,208),(128,178),(128,203),(128,212),(129,179),(129,203),(129,213),(130,204),(130,205),(130,208),(131,206),(131,207),(131,208),(132,178),(132,202),(132,204),(132,206),(133,179),(133,202),(133,205),(133,207),(134,180),(134,189),(134,214),(135,181),(135,190),(135,214),(136,182),(136,191),(136,214),(137,183),(137,192),(137,214),(138,180),(138,193),(138,215),(139,181),(139,194),(139,215),(140,182),(140,195),(140,215),(141,183),(141,196),(141,215),(142,184),(142,189),(142,215),(143,185),(143,190),(143,215),(144,186),(144,191),(144,215),(145,187),(145,192),(145,215),(146,184),(146,193),(146,214),(147,185),(147,194),(147,214),(148,186),(148,195),(148,214),(149,187),(149,196),(149,214),(150,189),(150,193),(150,209),(151,190),(151,194),(151,209),(152,191),(152,195),(152,209),(153,192),(153,196),(153,209),(154,162),(154,163),(154,170),(154,212),(155,164),(155,165),(155,171),(155,212),(156,162),(156,164),(156,172),(156,213),(157,163),(157,165),(157,173),(157,213),(158,166),(158,167),(158,174),(158,212),(159,168),(159,169),(159,175),(159,212),(160,166),(160,168),(160,176),(160,213),(161,167),(161,169),(161,177),(161,213),(162,189),(162,218),(163,190),(163,218),(164,191),(164,218),(165,192),(165,218),(166,193),(166,218),(167,194),(167,218),(168,195),(168,218),(169,196),(169,218),(170,189),(170,190),(170,216),(171,191),(171,192),(171,216),(172,189),(172,191),(172,217),(173,190),(173,192),(173,217),(174,193),(174,194),(174,216),(175,195),(175,196),(175,216),(176,193),(176,195),(176,217),(177,194),(177,196),(177,217),(178,209),(178,216),(179,209),(179,217),(180,219),(181,219),(182,219),(183,219),(184,219),(185,219),(186,219),(187,219),(188,202),(188,203),(188,210),(188,211),(189,219),(190,219),(191,219),(192,219),(193,219),(194,219),(195,219),(196,219),(197,204),(197,210),(197,212),(198,205),(198,210),(198,213),(199,206),(199,211),(199,212),(200,207),(200,211),(200,213),(201,208),(201,212),(201,213),(202,209),(202,214),(202,215),(203,209),(203,218),(204,214),(204,216),(205,214),(205,217),(206,215),(206,216),(207,215),(207,217),(208,216),(208,217),(209,219),(210,214),(210,218),(211,215),(211,218),(212,216),(212,218),(213,217),(213,218),(214,219),(215,219),(216,219),(217,219),(218,219)],220)=>56 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,16),(1,35),(1,36),(1,37),(1,46),(1,47),(1,48),(1,49),(1,50),(1,51),(2,14),(2,20),(2,24),(2,31),(2,34),(2,40),(2,41),(2,49),(2,113),(3,13),(3,19),(3,23),(3,31),(3,33),(3,38),(3,39),(3,48),(3,112),(4,19),(4,22),(4,29),(4,32),(4,34),(4,42),(4,43),(4,46),(4,114),(5,20),(5,21),(5,30),(5,32),(5,33),(5,44),(5,45),(5,47),(5,115),(6,18),(6,26),(6,28),(6,39),(6,41),(6,43),(6,45),(6,51),(6,116),(7,17),(7,25),(7,27),(7,38),(7,40),(7,42),(7,44),(7,50),(7,116),(8,12),(8,17),(8,18),(8,21),(8,22),(8,35),(8,112),(8,113),(9,15),(9,23),(9,25),(9,26),(9,30),(9,36),(9,113),(9,114),(10,15),(10,24),(10,27),(10,28),(10,29),(10,37),(10,112),(10,115),(11,12),(11,13),(11,14),(11,16),(11,114),(11,115),(11,116),(12,52),(12,139),(12,197),(12,198),(13,59),(13,60),(13,137),(13,161),(13,197),(14,59),(14,61),(14,138),(14,162),(14,198),(15,68),(15,99),(15,100),(15,199),(15,200),(16,52),(16,60),(16,61),(16,144),(16,157),(16,158),(17,69),(17,85),(17,87),(17,139),(17,163),(17,165),(18,70),(18,86),(18,88),(18,139),(18,164),(18,166),(19,53),(19,54),(19,71),(19,161),(19,167),(19,191),(20,55),(20,56),(20,72),(20,162),(20,168),(20,191),(21,85),(21,86),(21,89),(21,111),(21,168),(21,197),(22,87),(22,88),(22,90),(22,111),(22,167),(22,198),(23,91),(23,105),(23,106),(23,109),(23,161),(23,200),(24,92),(24,107),(24,108),(24,110),(24,162),(24,200),(25,93),(25,99),(25,103),(25,105),(25,165),(25,201),(26,94),(26,100),(26,104),(26,106),(26,166),(26,201),(27,95),(27,99),(27,101),(27,107),(27,163),(27,202),(28,96),(28,100),(28,102),(28,108),(28,164),(28,202),(29,97),(29,101),(29,102),(29,110),(29,167),(29,199),(30,98),(30,103),(30,104),(30,109),(30,168),(30,199),(31,57),(31,58),(31,59),(31,73),(31,191),(31,200),(32,62),(32,63),(32,74),(32,111),(32,191),(32,199),(33,64),(33,65),(33,75),(33,109),(33,191),(33,197),(34,66),(34,67),(34,76),(34,110),(34,191),(34,198),(35,52),(35,69),(35,70),(35,89),(35,90),(35,159),(35,160),(36,68),(36,91),(36,93),(36,94),(36,98),(36,157),(36,160),(37,68),(37,92),(37,95),(37,96),(37,97),(37,158),(37,159),(38,53),(38,57),(38,64),(38,77),(38,105),(38,137),(38,163),(39,54),(39,58),(39,65),(39,78),(39,106),(39,137),(39,164),(40,55),(40,57),(40,66),(40,79),(40,107),(40,138),(40,165),(41,56),(41,58),(41,67),(41,80),(41,108),(41,138),(41,166),(42,53),(42,62),(42,66),(42,81),(42,87),(42,101),(42,201),(43,54),(43,63),(43,67),(43,82),(43,88),(43,102),(43,201),(44,55),(44,62),(44,64),(44,83),(44,85),(44,103),(44,202),(45,56),(45,63),(45,65),(45,84),(45,86),(45,104),(45,202),(46,71),(46,74),(46,76),(46,81),(46,82),(46,90),(46,97),(46,157),(47,72),(47,74),(47,75),(47,83),(47,84),(47,89),(47,98),(47,158),(48,60),(48,71),(48,73),(48,75),(48,77),(48,78),(48,91),(48,159),(49,61),(49,72),(49,73),(49,76),(49,79),(49,80),(49,92),(49,160),(50,69),(50,77),(50,79),(50,81),(50,83),(50,93),(50,95),(50,144),(51,70),(51,78),(51,80),(51,82),(51,84),(51,94),(51,96),(51,144),(52,182),(52,212),(52,213),(53,153),(53,169),(53,203),(53,208),(54,154),(54,170),(54,204),(54,208),(55,155),(55,171),(55,203),(55,209),(56,156),(56,172),(56,204),(56,209),(57,117),(57,181),(57,203),(57,205),(58,118),(58,181),(58,204),(58,206),(59,125),(59,181),(59,228),(60,125),(60,173),(60,183),(60,212),(61,125),(61,174),(61,184),(61,213),(62,119),(62,129),(62,203),(62,224),(63,120),(63,130),(63,204),(63,224),(64,121),(64,133),(64,203),(64,222),(65,122),(65,134),(65,204),(65,222),(66,123),(66,135),(66,203),(66,223),(67,124),(67,136),(67,204),(67,223),(68,131),(68,132),(68,210),(68,211),(69,149),(69,151),(69,175),(69,177),(69,182),(70,150),(70,152),(70,176),(70,178),(70,182),(71,153),(71,154),(71,173),(71,179),(71,207),(72,155),(72,156),(72,174),(72,180),(72,207),(73,117),(73,118),(73,125),(73,207),(73,210),(74,126),(74,129),(74,130),(74,207),(74,211),(75,127),(75,133),(75,134),(75,207),(75,212),(76,128),(76,135),(76,136),(76,207),(76,213),(77,117),(77,133),(77,140),(77,153),(77,175),(77,183),(78,118),(78,134),(78,141),(78,154),(78,176),(78,183),(79,117),(79,135),(79,142),(79,155),(79,177),(79,184),(80,118),(80,136),(80,143),(80,156),(80,178),(80,184),(81,129),(81,135),(81,145),(81,151),(81,153),(81,214),(82,130),(82,136),(82,146),(82,152),(82,154),(82,214),(83,129),(83,133),(83,147),(83,149),(83,155),(83,215),(84,130),(84,134),(84,148),(84,150),(84,156),(84,215),(85,119),(85,149),(85,171),(85,222),(86,120),(86,150),(86,172),(86,222),(87,119),(87,151),(87,169),(87,223),(88,120),(88,152),(88,170),(88,223),(89,126),(89,149),(89,150),(89,180),(89,212),(90,126),(90,151),(90,152),(90,179),(90,213),(91,127),(91,140),(91,141),(91,173),(91,210),(92,128),(92,142),(92,143),(92,174),(92,210),(93,131),(93,140),(93,147),(93,177),(93,214),(94,132),(94,141),(94,148),(94,178),(94,214),(95,131),(95,142),(95,145),(95,175),(95,215),(96,132),(96,143),(96,146),(96,176),(96,215),(97,128),(97,145),(97,146),(97,179),(97,211),(98,127),(98,147),(98,148),(98,180),(98,211),(99,131),(99,205),(99,224),(100,132),(100,206),(100,224),(101,123),(101,145),(101,169),(101,224),(102,124),(102,146),(102,170),(102,224),(103,121),(103,147),(103,171),(103,224),(104,122),(104,148),(104,172),(104,224),(105,121),(105,140),(105,205),(105,208),(106,122),(106,141),(106,206),(106,208),(107,123),(107,142),(107,205),(107,209),(108,124),(108,143),(108,206),(108,209),(109,121),(109,122),(109,127),(109,228),(110,123),(110,124),(110,128),(110,228),(111,119),(111,120),(111,126),(111,228),(112,159),(112,163),(112,164),(112,167),(112,197),(112,200),(113,160),(113,165),(113,166),(113,168),(113,198),(113,200),(114,157),(114,161),(114,198),(114,199),(114,201),(115,158),(115,162),(115,197),(115,199),(115,202),(116,137),(116,138),(116,139),(116,144),(116,201),(116,202),(117,192),(117,218),(117,220),(118,192),(118,219),(118,221),(119,185),(119,230),(120,186),(120,230),(121,187),(121,230),(122,188),(122,230),(123,189),(123,230),(124,190),(124,230),(125,192),(125,229),(126,185),(126,186),(126,229),(127,187),(127,188),(127,229),(128,189),(128,190),(128,229),(129,185),(129,220),(129,227),(130,186),(130,221),(130,227),(131,218),(131,227),(132,219),(132,227),(133,187),(133,220),(133,225),(134,188),(134,221),(134,225),(135,189),(135,220),(135,226),(136,190),(136,221),(136,226),(137,181),(137,183),(137,208),(137,222),(138,181),(138,184),(138,209),(138,223),(139,182),(139,222),(139,223),(140,187),(140,216),(140,218),(141,188),(141,216),(141,219),(142,189),(142,217),(142,218),(143,190),(143,217),(143,219),(144,182),(144,183),(144,184),(144,214),(144,215),(145,189),(145,193),(145,227),(146,190),(146,194),(146,227),(147,187),(147,195),(147,227),(148,188),(148,196),(148,227),(149,185),(149,195),(149,225),(150,186),(150,196),(150,225),(151,185),(151,193),(151,226),(152,186),(152,194),(152,226),(153,193),(153,216),(153,220),(154,194),(154,216),(154,221),(155,195),(155,217),(155,220),(156,196),(156,217),(156,221),(157,173),(157,211),(157,213),(157,214),(158,174),(158,211),(158,212),(158,215),(159,175),(159,176),(159,179),(159,210),(159,212),(160,177),(160,178),(160,180),(160,210),(160,213),(161,173),(161,208),(161,228),(162,174),(162,209),(162,228),(163,169),(163,175),(163,205),(163,222),(164,170),(164,176),(164,206),(164,222),(165,171),(165,177),(165,205),(165,223),(166,172),(166,178),(166,206),(166,223),(167,169),(167,170),(167,179),(167,228),(168,171),(168,172),(168,180),(168,228),(169,193),(169,230),(170,194),(170,230),(171,195),(171,230),(172,196),(172,230),(173,216),(173,229),(174,217),(174,229),(175,193),(175,218),(175,225),(176,194),(176,219),(176,225),(177,195),(177,218),(177,226),(178,196),(178,219),(178,226),(179,193),(179,194),(179,229),(180,195),(180,196),(180,229),(181,192),(181,230),(182,225),(182,226),(183,192),(183,216),(183,225),(184,192),(184,217),(184,226),(185,231),(186,231),(187,231),(188,231),(189,231),(190,231),(191,203),(191,204),(191,207),(191,228),(192,231),(193,231),(194,231),(195,231),(196,231),(197,212),(197,222),(197,228),(198,213),(198,223),(198,228),(199,211),(199,224),(199,228),(200,205),(200,206),(200,210),(200,228),(201,208),(201,214),(201,223),(201,224),(202,209),(202,215),(202,222),(202,224),(203,220),(203,230),(204,221),(204,230),(205,218),(205,230),(206,219),(206,230),(207,220),(207,221),(207,229),(208,216),(208,230),(209,217),(209,230),(210,218),(210,219),(210,229),(211,227),(211,229),(212,225),(212,229),(213,226),(213,229),(214,216),(214,226),(214,227),(215,217),(215,225),(215,227),(216,231),(217,231),(218,231),(219,231),(220,231),(221,231),(222,225),(222,230),(223,226),(223,230),(224,227),(224,230),(225,231),(226,231),(227,231),(228,229),(228,230),(229,231),(230,231)],232)=>40 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,20),(1,27),(1,28),(1,43),(1,44),(1,45),(1,46),(1,47),(1,113),(2,17),(2,24),(2,30),(2,34),(2,38),(2,44),(2,50),(2,51),(2,116),(3,16),(3,23),(3,29),(3,33),(3,37),(3,43),(3,48),(3,49),(3,116),(4,19),(4,26),(4,32),(4,36),(4,40),(4,46),(4,49),(4,51),(4,115),(5,18),(5,25),(5,31),(5,35),(5,39),(5,45),(5,48),(5,50),(5,115),(6,15),(6,29),(6,30),(6,31),(6,32),(6,41),(6,42),(6,47),(6,112),(7,14),(7,22),(7,28),(7,37),(7,38),(7,39),(7,40),(7,42),(7,114),(8,13),(8,21),(8,27),(8,33),(8,34),(8,35),(8,36),(8,41),(8,114),(9,21),(9,22),(9,23),(9,24),(9,25),(9,26),(9,112),(9,113),(10,12),(10,16),(10,17),(10,18),(10,19),(10,20),(10,112),(10,114),(11,12),(11,13),(11,14),(11,15),(11,113),(11,115),(11,116),(12,141),(12,142),(12,143),(12,201),(13,52),(13,143),(13,160),(13,166),(13,167),(14,53),(14,143),(14,161),(14,168),(14,169),(15,52),(15,53),(15,170),(15,171),(15,201),(16,54),(16,55),(16,62),(16,141),(16,162),(16,172),(17,56),(17,57),(17,63),(17,141),(17,163),(17,173),(18,54),(18,56),(18,64),(18,142),(18,164),(18,174),(19,55),(19,57),(19,65),(19,142),(19,165),(19,175),(20,62),(20,63),(20,64),(20,65),(20,176),(20,201),(21,70),(21,71),(21,72),(21,73),(21,160),(21,205),(22,74),(22,75),(22,76),(22,77),(22,161),(22,205),(23,58),(23,59),(23,70),(23,74),(23,162),(23,202),(24,60),(24,61),(24,71),(24,75),(24,163),(24,202),(25,58),(25,60),(25,72),(25,76),(25,164),(25,203),(26,59),(26,61),(26,73),(26,77),(26,165),(26,203),(27,82),(27,84),(27,85),(27,86),(27,87),(27,160),(27,176),(28,83),(28,88),(28,89),(28,90),(28,91),(28,161),(28,176),(29,78),(29,92),(29,93),(29,96),(29,100),(29,162),(29,170),(30,79),(30,94),(30,95),(30,97),(30,101),(30,163),(30,170),(31,80),(31,92),(31,94),(31,98),(31,102),(31,164),(31,171),(32,81),(32,93),(32,95),(32,99),(32,103),(32,165),(32,171),(33,70),(33,84),(33,96),(33,104),(33,105),(33,166),(33,172),(34,71),(34,85),(34,97),(34,106),(34,107),(34,166),(34,173),(35,72),(35,86),(35,98),(35,104),(35,106),(35,167),(35,174),(36,73),(36,87),(36,99),(36,105),(36,107),(36,167),(36,175),(37,74),(37,88),(37,100),(37,108),(37,109),(37,168),(37,172),(38,75),(38,89),(38,101),(38,110),(38,111),(38,168),(38,173),(39,76),(39,90),(39,102),(39,108),(39,110),(39,169),(39,174),(40,77),(40,91),(40,103),(40,109),(40,111),(40,169),(40,175),(41,52),(41,82),(41,96),(41,97),(41,98),(41,99),(41,205),(42,53),(42,83),(42,100),(42,101),(42,102),(42,103),(42,205),(43,62),(43,66),(43,67),(43,78),(43,84),(43,88),(43,202),(44,63),(44,68),(44,69),(44,79),(44,85),(44,89),(44,202),(45,64),(45,66),(45,68),(45,80),(45,86),(45,90),(45,203),(46,65),(46,67),(46,69),(46,81),(46,87),(46,91),(46,203),(47,78),(47,79),(47,80),(47,81),(47,82),(47,83),(47,201),(48,54),(48,58),(48,66),(48,92),(48,104),(48,108),(48,204),(49,55),(49,59),(49,67),(49,93),(49,105),(49,109),(49,204),(50,56),(50,60),(50,68),(50,94),(50,106),(50,110),(50,204),(51,57),(51,61),(51,69),(51,95),(51,107),(51,111),(51,204),(52,185),(52,186),(52,233),(53,187),(53,188),(53,233),(54,117),(54,181),(54,189),(54,223),(55,118),(55,182),(55,190),(55,223),(56,119),(56,183),(56,191),(56,223),(57,120),(57,184),(57,192),(57,223),(58,144),(58,148),(58,181),(58,234),(59,145),(59,149),(59,182),(59,234),(60,146),(60,150),(60,183),(60,234),(61,147),(61,151),(61,184),(61,234),(62,117),(62,118),(62,177),(62,231),(63,119),(63,120),(63,178),(63,231),(64,117),(64,119),(64,179),(64,232),(65,118),(65,120),(65,180),(65,232),(66,117),(66,121),(66,133),(66,137),(66,234),(67,118),(67,122),(67,134),(67,138),(67,234),(68,119),(68,123),(68,135),(68,139),(68,234),(69,120),(69,124),(69,136),(69,140),(69,234),(70,144),(70,145),(70,212),(70,219),(71,146),(71,147),(71,212),(71,220),(72,144),(72,146),(72,213),(72,221),(73,145),(73,147),(73,213),(73,222),(74,148),(74,149),(74,214),(74,219),(75,150),(75,151),(75,214),(75,220),(76,148),(76,150),(76,215),(76,221),(77,149),(77,151),(77,215),(77,222),(78,121),(78,122),(78,125),(78,129),(78,231),(79,123),(79,124),(79,126),(79,130),(79,231),(80,121),(80,123),(80,127),(80,131),(80,232),(81,122),(81,124),(81,128),(81,132),(81,232),(82,125),(82,126),(82,127),(82,128),(82,233),(83,129),(83,130),(83,131),(83,132),(83,233),(84,125),(84,133),(84,134),(84,177),(84,212),(85,126),(85,135),(85,136),(85,178),(85,212),(86,127),(86,133),(86,135),(86,179),(86,213),(87,128),(87,134),(87,136),(87,180),(87,213),(88,129),(88,137),(88,138),(88,177),(88,214),(89,130),(89,139),(89,140),(89,178),(89,214),(90,131),(90,137),(90,139),(90,179),(90,215),(91,132),(91,138),(91,140),(91,180),(91,215),(92,121),(92,152),(92,156),(92,181),(92,218),(93,122),(93,153),(93,157),(93,182),(93,218),(94,123),(94,154),(94,158),(94,183),(94,218),(95,124),(95,155),(95,159),(95,184),(95,218),(96,125),(96,152),(96,153),(96,185),(96,219),(97,126),(97,154),(97,155),(97,185),(97,220),(98,127),(98,152),(98,154),(98,186),(98,221),(99,128),(99,153),(99,155),(99,186),(99,222),(100,129),(100,156),(100,157),(100,187),(100,219),(101,130),(101,158),(101,159),(101,187),(101,220),(102,131),(102,156),(102,158),(102,188),(102,221),(103,132),(103,157),(103,159),(103,188),(103,222),(104,133),(104,144),(104,152),(104,189),(104,216),(105,134),(105,145),(105,153),(105,190),(105,216),(106,135),(106,146),(106,154),(106,191),(106,216),(107,136),(107,147),(107,155),(107,192),(107,216),(108,137),(108,148),(108,156),(108,189),(108,217),(109,138),(109,149),(109,157),(109,190),(109,217),(110,139),(110,150),(110,158),(110,191),(110,217),(111,140),(111,151),(111,159),(111,192),(111,217),(112,162),(112,163),(112,164),(112,165),(112,201),(112,205),(113,160),(113,161),(113,201),(113,202),(113,203),(114,143),(114,172),(114,173),(114,174),(114,175),(114,176),(114,205),(115,142),(115,167),(115,169),(115,171),(115,203),(115,204),(116,141),(116,166),(116,168),(116,170),(116,202),(116,204),(117,208),(117,239),(118,209),(118,239),(119,210),(119,239),(120,211),(120,239),(121,193),(121,197),(121,239),(122,194),(122,198),(122,239),(123,195),(123,199),(123,239),(124,196),(124,200),(124,239),(125,193),(125,194),(125,237),(126,195),(126,196),(126,237),(127,193),(127,195),(127,238),(128,194),(128,196),(128,238),(129,197),(129,198),(129,237),(130,199),(130,200),(130,237),(131,197),(131,199),(131,238),(132,198),(132,200),(132,238),(133,193),(133,208),(133,235),(134,194),(134,209),(134,235),(135,195),(135,210),(135,235),(136,196),(136,211),(136,235),(137,197),(137,208),(137,236),(138,198),(138,209),(138,236),(139,199),(139,210),(139,236),(140,200),(140,211),(140,236),(141,206),(141,223),(141,231),(142,207),(142,223),(142,232),(143,206),(143,207),(143,233),(144,226),(144,235),(145,227),(145,235),(146,228),(146,235),(147,229),(147,235),(148,226),(148,236),(149,227),(149,236),(150,228),(150,236),(151,229),(151,236),(152,193),(152,224),(152,226),(153,194),(153,224),(153,227),(154,195),(154,224),(154,228),(155,196),(155,224),(155,229),(156,197),(156,225),(156,226),(157,198),(157,225),(157,227),(158,199),(158,225),(158,228),(159,200),(159,225),(159,229),(160,212),(160,213),(160,233),(161,214),(161,215),(161,233),(162,181),(162,182),(162,219),(162,231),(163,183),(163,184),(163,220),(163,231),(164,181),(164,183),(164,221),(164,232),(165,182),(165,184),(165,222),(165,232),(166,185),(166,206),(166,212),(166,216),(167,186),(167,207),(167,213),(167,216),(168,187),(168,206),(168,214),(168,217),(169,188),(169,207),(169,215),(169,217),(170,185),(170,187),(170,218),(170,231),(171,186),(171,188),(171,218),(171,232),(172,177),(172,189),(172,190),(172,206),(172,219),(173,178),(173,191),(173,192),(173,206),(173,220),(174,179),(174,189),(174,191),(174,207),(174,221),(175,180),(175,190),(175,192),(175,207),(175,222),(176,177),(176,178),(176,179),(176,180),(176,233),(177,208),(177,209),(177,237),(178,210),(178,211),(178,237),(179,208),(179,210),(179,238),(180,209),(180,211),(180,238),(181,226),(181,239),(182,227),(182,239),(183,228),(183,239),(184,229),(184,239),(185,224),(185,237),(186,224),(186,238),(187,225),(187,237),(188,225),(188,238),(189,208),(189,226),(189,230),(190,209),(190,227),(190,230),(191,210),(191,228),(191,230),(192,211),(192,229),(192,230),(193,240),(194,240),(195,240),(196,240),(197,240),(198,240),(199,240),(200,240),(201,231),(201,232),(201,233),(202,212),(202,214),(202,231),(202,234),(203,213),(203,215),(203,232),(203,234),(204,216),(204,217),(204,218),(204,223),(204,234),(205,219),(205,220),(205,221),(205,222),(205,233),(206,230),(206,237),(207,230),(207,238),(208,240),(209,240),(210,240),(211,240),(212,235),(212,237),(213,235),(213,238),(214,236),(214,237),(215,236),(215,238),(216,224),(216,230),(216,235),(217,225),(217,230),(217,236),(218,224),(218,225),(218,239),(219,226),(219,227),(219,237),(220,228),(220,229),(220,237),(221,226),(221,228),(221,238),(222,227),(222,229),(222,238),(223,230),(223,239),(224,240),(225,240),(226,240),(227,240),(228,240),(229,240),(230,240),(231,237),(231,239),(232,238),(232,239),(233,237),(233,238),(234,235),(234,236),(234,239),(235,240),(236,240),(237,240),(238,240),(239,240)],241)=>30 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,36),(1,37),(1,38),(1,39),(1,40),(1,41),(1,42),(1,43),(1,116),(2,13),(2,21),(2,25),(2,29),(2,33),(2,37),(2,46),(2,47),(2,120),(3,12),(3,20),(3,24),(3,28),(3,32),(3,36),(3,44),(3,45),(3,120),(4,15),(4,23),(4,27),(4,31),(4,35),(4,39),(4,45),(4,47),(4,119),(5,14),(5,22),(5,26),(5,30),(5,34),(5,38),(5,44),(5,46),(5,119),(6,17),(6,24),(6,25),(6,26),(6,27),(6,41),(6,50),(6,51),(6,118),(7,16),(7,20),(7,21),(7,22),(7,23),(7,40),(7,48),(7,49),(7,118),(8,19),(8,32),(8,33),(8,34),(8,35),(8,43),(8,49),(8,51),(8,117),(9,18),(9,28),(9,29),(9,30),(9,31),(9,42),(9,48),(9,50),(9,117),(10,16),(10,17),(10,18),(10,19),(10,116),(10,119),(10,120),(11,12),(11,13),(11,14),(11,15),(11,116),(11,117),(11,118),(12,52),(12,53),(12,169),(12,173),(12,217),(13,54),(13,55),(13,170),(13,174),(13,217),(14,52),(14,54),(14,171),(14,175),(14,218),(15,53),(15,55),(15,172),(15,176),(15,218),(16,56),(16,57),(16,177),(16,178),(16,219),(17,58),(17,59),(17,179),(17,180),(17,219),(18,56),(18,58),(18,181),(18,182),(18,220),(19,57),(19,59),(19,183),(19,184),(19,220),(20,68),(20,84),(20,85),(20,100),(20,104),(20,169),(20,177),(21,69),(21,86),(21,87),(21,101),(21,105),(21,170),(21,177),(22,70),(22,84),(22,86),(22,102),(22,106),(22,171),(22,178),(23,71),(23,85),(23,87),(23,103),(23,107),(23,172),(23,178),(24,72),(24,88),(24,89),(24,108),(24,112),(24,169),(24,179),(25,73),(25,90),(25,91),(25,109),(25,113),(25,170),(25,179),(26,74),(26,88),(26,90),(26,110),(26,114),(26,171),(26,180),(27,75),(27,89),(27,91),(27,111),(27,115),(27,172),(27,180),(28,76),(28,92),(28,93),(28,100),(28,108),(28,173),(28,181),(29,77),(29,94),(29,95),(29,101),(29,109),(29,174),(29,181),(30,78),(30,92),(30,94),(30,102),(30,110),(30,175),(30,182),(31,79),(31,93),(31,95),(31,103),(31,111),(31,176),(31,182),(32,80),(32,96),(32,97),(32,104),(32,112),(32,173),(32,183),(33,81),(33,98),(33,99),(33,105),(33,113),(33,174),(33,183),(34,82),(34,96),(34,98),(34,106),(34,114),(34,175),(34,184),(35,83),(35,97),(35,99),(35,107),(35,115),(35,176),(35,184),(36,60),(36,61),(36,68),(36,72),(36,76),(36,80),(36,217),(37,62),(37,63),(37,69),(37,73),(37,77),(37,81),(37,217),(38,60),(38,62),(38,70),(38,74),(38,78),(38,82),(38,218),(39,61),(39,63),(39,71),(39,75),(39,79),(39,83),(39,218),(40,64),(40,65),(40,68),(40,69),(40,70),(40,71),(40,219),(41,66),(41,67),(41,72),(41,73),(41,74),(41,75),(41,219),(42,64),(42,66),(42,76),(42,77),(42,78),(42,79),(42,220),(43,65),(43,67),(43,80),(43,81),(43,82),(43,83),(43,220),(44,52),(44,60),(44,84),(44,88),(44,92),(44,96),(44,222),(45,53),(45,61),(45,85),(45,89),(45,93),(45,97),(45,222),(46,54),(46,62),(46,86),(46,90),(46,94),(46,98),(46,222),(47,55),(47,63),(47,87),(47,91),(47,95),(47,99),(47,222),(48,56),(48,64),(48,100),(48,101),(48,102),(48,103),(48,221),(49,57),(49,65),(49,104),(49,105),(49,106),(49,107),(49,221),(50,58),(50,66),(50,108),(50,109),(50,110),(50,111),(50,221),(51,59),(51,67),(51,112),(51,113),(51,114),(51,115),(51,221),(52,185),(52,189),(52,243),(53,186),(53,190),(53,243),(54,187),(54,191),(54,243),(55,188),(55,192),(55,243),(56,193),(56,194),(56,244),(57,195),(57,196),(57,244),(58,197),(58,198),(58,244),(59,199),(59,200),(59,244),(60,121),(60,125),(60,129),(60,133),(60,243),(61,122),(61,126),(61,130),(61,134),(61,243),(62,123),(62,127),(62,131),(62,135),(62,243),(63,124),(63,128),(63,132),(63,136),(63,243),(64,137),(64,138),(64,139),(64,140),(64,244),(65,141),(65,142),(65,143),(65,144),(65,244),(66,145),(66,146),(66,147),(66,148),(66,244),(67,149),(67,150),(67,151),(67,152),(67,244),(68,121),(68,122),(68,137),(68,141),(68,239),(69,123),(69,124),(69,138),(69,142),(69,239),(70,121),(70,123),(70,139),(70,143),(70,240),(71,122),(71,124),(71,140),(71,144),(71,240),(72,125),(72,126),(72,145),(72,149),(72,239),(73,127),(73,128),(73,146),(73,150),(73,239),(74,125),(74,127),(74,147),(74,151),(74,240),(75,126),(75,128),(75,148),(75,152),(75,240),(76,129),(76,130),(76,137),(76,145),(76,241),(77,131),(77,132),(77,138),(77,146),(77,241),(78,129),(78,131),(78,139),(78,147),(78,242),(79,130),(79,132),(79,140),(79,148),(79,242),(80,133),(80,134),(80,141),(80,149),(80,241),(81,135),(81,136),(81,142),(81,150),(81,241),(82,133),(82,135),(82,143),(82,151),(82,242),(83,134),(83,136),(83,144),(83,152),(83,242),(84,121),(84,153),(84,157),(84,185),(84,227),(85,122),(85,154),(85,158),(85,186),(85,227),(86,123),(86,155),(86,159),(86,187),(86,227),(87,124),(87,156),(87,160),(87,188),(87,227),(88,125),(88,161),(88,165),(88,185),(88,228),(89,126),(89,162),(89,166),(89,186),(89,228),(90,127),(90,163),(90,167),(90,187),(90,228),(91,128),(91,164),(91,168),(91,188),(91,228),(92,129),(92,153),(92,161),(92,189),(92,229),(93,130),(93,154),(93,162),(93,190),(93,229),(94,131),(94,155),(94,163),(94,191),(94,229),(95,132),(95,156),(95,164),(95,192),(95,229),(96,133),(96,157),(96,165),(96,189),(96,230),(97,134),(97,158),(97,166),(97,190),(97,230),(98,135),(98,159),(98,167),(98,191),(98,230),(99,136),(99,160),(99,168),(99,192),(99,230),(100,137),(100,153),(100,154),(100,193),(100,223),(101,138),(101,155),(101,156),(101,193),(101,224),(102,139),(102,153),(102,155),(102,194),(102,225),(103,140),(103,154),(103,156),(103,194),(103,226),(104,141),(104,157),(104,158),(104,195),(104,223),(105,142),(105,159),(105,160),(105,195),(105,224),(106,143),(106,157),(106,159),(106,196),(106,225),(107,144),(107,158),(107,160),(107,196),(107,226),(108,145),(108,161),(108,162),(108,197),(108,223),(109,146),(109,163),(109,164),(109,197),(109,224),(110,147),(110,161),(110,163),(110,198),(110,225),(111,148),(111,162),(111,164),(111,198),(111,226),(112,149),(112,165),(112,166),(112,199),(112,223),(113,150),(113,167),(113,168),(113,199),(113,224),(114,151),(114,165),(114,167),(114,200),(114,225),(115,152),(115,166),(115,168),(115,200),(115,226),(116,217),(116,218),(116,219),(116,220),(117,173),(117,174),(117,175),(117,176),(117,220),(117,221),(118,169),(118,170),(118,171),(118,172),(118,219),(118,221),(119,178),(119,180),(119,182),(119,184),(119,218),(119,222),(120,177),(120,179),(120,181),(120,183),(120,217),(120,222),(121,201),(121,205),(121,245),(122,202),(122,206),(122,245),(123,203),(123,207),(123,245),(124,204),(124,208),(124,245),(125,209),(125,213),(125,245),(126,210),(126,214),(126,245),(127,211),(127,215),(127,245),(128,212),(128,216),(128,245),(129,201),(129,209),(129,246),(130,202),(130,210),(130,246),(131,203),(131,211),(131,246),(132,204),(132,212),(132,246),(133,205),(133,213),(133,246),(134,206),(134,214),(134,246),(135,207),(135,215),(135,246),(136,208),(136,216),(136,246),(137,201),(137,202),(137,247),(138,203),(138,204),(138,247),(139,201),(139,203),(139,248),(140,202),(140,204),(140,248),(141,205),(141,206),(141,247),(142,207),(142,208),(142,247),(143,205),(143,207),(143,248),(144,206),(144,208),(144,248),(145,209),(145,210),(145,247),(146,211),(146,212),(146,247),(147,209),(147,211),(147,248),(148,210),(148,212),(148,248),(149,213),(149,214),(149,247),(150,215),(150,216),(150,247),(151,213),(151,215),(151,248),(152,214),(152,216),(152,248),(153,201),(153,231),(153,235),(154,202),(154,232),(154,235),(155,203),(155,233),(155,235),(156,204),(156,234),(156,235),(157,205),(157,231),(157,236),(158,206),(158,232),(158,236),(159,207),(159,233),(159,236),(160,208),(160,234),(160,236),(161,209),(161,231),(161,237),(162,210),(162,232),(162,237),(163,211),(163,233),(163,237),(164,212),(164,234),(164,237),(165,213),(165,231),(165,238),(166,214),(166,232),(166,238),(167,215),(167,233),(167,238),(168,216),(168,234),(168,238),(169,185),(169,186),(169,223),(169,239),(170,187),(170,188),(170,224),(170,239),(171,185),(171,187),(171,225),(171,240),(172,186),(172,188),(172,226),(172,240),(173,189),(173,190),(173,223),(173,241),(174,191),(174,192),(174,224),(174,241),(175,189),(175,191),(175,225),(175,242),(176,190),(176,192),(176,226),(176,242),(177,193),(177,195),(177,227),(177,239),(178,194),(178,196),(178,227),(178,240),(179,197),(179,199),(179,228),(179,239),(180,198),(180,200),(180,228),(180,240),(181,193),(181,197),(181,229),(181,241),(182,194),(182,198),(182,229),(182,242),(183,195),(183,199),(183,230),(183,241),(184,196),(184,200),(184,230),(184,242),(185,231),(185,245),(186,232),(186,245),(187,233),(187,245),(188,234),(188,245),(189,231),(189,246),(190,232),(190,246),(191,233),(191,246),(192,234),(192,246),(193,235),(193,247),(194,235),(194,248),(195,236),(195,247),(196,236),(196,248),(197,237),(197,247),(198,237),(198,248),(199,238),(199,247),(200,238),(200,248),(201,249),(202,249),(203,249),(204,249),(205,249),(206,249),(207,249),(208,249),(209,249),(210,249),(211,249),(212,249),(213,249),(214,249),(215,249),(216,249),(217,239),(217,241),(217,243),(218,240),(218,242),(218,243),(219,239),(219,240),(219,244),(220,241),(220,242),(220,244),(221,223),(221,224),(221,225),(221,226),(221,244),(222,227),(222,228),(222,229),(222,230),(222,243),(223,231),(223,232),(223,247),(224,233),(224,234),(224,247),(225,231),(225,233),(225,248),(226,232),(226,234),(226,248),(227,235),(227,236),(227,245),(228,237),(228,238),(228,245),(229,235),(229,237),(229,246),(230,236),(230,238),(230,246),(231,249),(232,249),(233,249),(234,249),(235,249),(236,249),(237,249),(238,249),(239,245),(239,247),(240,245),(240,248),(241,246),(241,247),(242,246),(242,248),(243,245),(243,246),(244,247),(244,248),(245,249),(246,249),(247,249),(248,249)],250)=>34 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,13),(1,26),(1,27),(1,28),(1,29),(1,30),(1,31),(1,51),(1,124),(2,12),(2,20),(2,21),(2,22),(2,23),(2,24),(2,25),(2,50),(2,124),(3,15),(3,21),(3,27),(3,33),(3,37),(3,42),(3,43),(3,45),(3,123),(4,14),(4,20),(4,26),(4,32),(4,36),(4,40),(4,41),(4,44),(4,123),(5,17),(5,23),(5,29),(5,35),(5,39),(5,41),(5,43),(5,47),(5,122),(6,16),(6,22),(6,28),(6,34),(6,38),(6,40),(6,42),(6,46),(6,122),(7,19),(7,25),(7,31),(7,36),(7,37),(7,38),(7,39),(7,49),(7,121),(8,18),(8,24),(8,30),(8,32),(8,33),(8,34),(8,35),(8,48),(8,121),(9,44),(9,45),(9,46),(9,47),(9,48),(9,49),(9,50),(9,51),(9,120),(10,14),(10,15),(10,16),(10,17),(10,18),(10,19),(10,120),(10,124),(11,12),(11,13),(11,120),(11,121),(11,122),(11,123),(12,131),(12,132),(12,133),(12,232),(13,134),(13,135),(13,136),(13,232),(14,52),(14,56),(14,60),(14,61),(14,125),(14,229),(15,53),(15,57),(15,62),(15,63),(15,126),(15,229),(16,54),(16,58),(16,60),(16,62),(16,127),(16,230),(17,55),(17,59),(17,61),(17,63),(17,128),(17,230),(18,52),(18,53),(18,54),(18,55),(18,129),(18,231),(19,56),(19,57),(19,58),(19,59),(19,130),(19,231),(20,64),(20,68),(20,72),(20,73),(20,88),(20,125),(20,131),(21,65),(21,69),(21,74),(21,75),(21,89),(21,126),(21,131),(22,66),(22,70),(22,72),(22,74),(22,90),(22,127),(22,132),(23,67),(23,71),(23,73),(23,75),(23,91),(23,128),(23,132),(24,64),(24,65),(24,66),(24,67),(24,92),(24,129),(24,133),(25,68),(25,69),(25,70),(25,71),(25,93),(25,130),(25,133),(26,76),(26,80),(26,84),(26,85),(26,94),(26,125),(26,134),(27,77),(27,81),(27,86),(27,87),(27,95),(27,126),(27,134),(28,78),(28,82),(28,84),(28,86),(28,96),(28,127),(28,135),(29,79),(29,83),(29,85),(29,87),(29,97),(29,128),(29,135),(30,76),(30,77),(30,78),(30,79),(30,98),(30,129),(30,136),(31,80),(31,81),(31,82),(31,83),(31,99),(31,130),(31,136),(32,52),(32,64),(32,76),(32,100),(32,112),(32,113),(32,234),(33,53),(33,65),(33,77),(33,101),(33,114),(33,115),(33,234),(34,54),(34,66),(34,78),(34,102),(34,112),(34,114),(34,235),(35,55),(35,67),(35,79),(35,103),(35,113),(35,115),(35,235),(36,56),(36,68),(36,80),(36,104),(36,116),(36,117),(36,234),(37,57),(37,69),(37,81),(37,105),(37,118),(37,119),(37,234),(38,58),(38,70),(38,82),(38,106),(38,116),(38,118),(38,235),(39,59),(39,71),(39,83),(39,107),(39,117),(39,119),(39,235),(40,60),(40,72),(40,84),(40,108),(40,112),(40,116),(40,233),(41,61),(41,73),(41,85),(41,109),(41,113),(41,117),(41,233),(42,62),(42,74),(42,86),(42,110),(42,114),(42,118),(42,233),(43,63),(43,75),(43,87),(43,111),(43,115),(43,119),(43,233),(44,88),(44,94),(44,100),(44,104),(44,108),(44,109),(44,229),(45,89),(45,95),(45,101),(45,105),(45,110),(45,111),(45,229),(46,90),(46,96),(46,102),(46,106),(46,108),(46,110),(46,230),(47,91),(47,97),(47,103),(47,107),(47,109),(47,111),(47,230),(48,92),(48,98),(48,100),(48,101),(48,102),(48,103),(48,231),(49,93),(49,99),(49,104),(49,105),(49,106),(49,107),(49,231),(50,88),(50,89),(50,90),(50,91),(50,92),(50,93),(50,232),(51,94),(51,95),(51,96),(51,97),(51,98),(51,99),(51,232),(52,137),(52,138),(52,193),(52,246),(53,139),(53,140),(53,194),(53,246),(54,137),(54,139),(54,195),(54,247),(55,138),(55,140),(55,196),(55,247),(56,141),(56,142),(56,197),(56,246),(57,143),(57,144),(57,198),(57,246),(58,141),(58,143),(58,199),(58,247),(59,142),(59,144),(59,200),(59,247),(60,137),(60,141),(60,201),(60,245),(61,138),(61,142),(61,202),(61,245),(62,139),(62,143),(62,203),(62,245),(63,140),(63,144),(63,204),(63,245),(64,145),(64,146),(64,169),(64,193),(64,237),(65,147),(65,148),(65,170),(65,194),(65,237),(66,145),(66,147),(66,171),(66,195),(66,238),(67,146),(67,148),(67,172),(67,196),(67,238),(68,149),(68,150),(68,173),(68,197),(68,237),(69,151),(69,152),(69,174),(69,198),(69,237),(70,149),(70,151),(70,175),(70,199),(70,238),(71,150),(71,152),(71,176),(71,200),(71,238),(72,145),(72,149),(72,177),(72,201),(72,236),(73,146),(73,150),(73,178),(73,202),(73,236),(74,147),(74,151),(74,179),(74,203),(74,236),(75,148),(75,152),(75,180),(75,204),(75,236),(76,153),(76,154),(76,181),(76,193),(76,240),(77,155),(77,156),(77,182),(77,194),(77,240),(78,153),(78,155),(78,183),(78,195),(78,241),(79,154),(79,156),(79,184),(79,196),(79,241),(80,157),(80,158),(80,185),(80,197),(80,240),(81,159),(81,160),(81,186),(81,198),(81,240),(82,157),(82,159),(82,187),(82,199),(82,241),(83,158),(83,160),(83,188),(83,200),(83,241),(84,153),(84,157),(84,189),(84,201),(84,239),(85,154),(85,158),(85,190),(85,202),(85,239),(86,155),(86,159),(86,191),(86,203),(86,239),(87,156),(87,160),(87,192),(87,204),(87,239),(88,169),(88,173),(88,177),(88,178),(88,242),(89,170),(89,174),(89,179),(89,180),(89,242),(90,171),(90,175),(90,177),(90,179),(90,243),(91,172),(91,176),(91,178),(91,180),(91,243),(92,169),(92,170),(92,171),(92,172),(92,244),(93,173),(93,174),(93,175),(93,176),(93,244),(94,181),(94,185),(94,189),(94,190),(94,242),(95,182),(95,186),(95,191),(95,192),(95,242),(96,183),(96,187),(96,189),(96,191),(96,243),(97,184),(97,188),(97,190),(97,192),(97,243),(98,181),(98,182),(98,183),(98,184),(98,244),(99,185),(99,186),(99,187),(99,188),(99,244),(100,161),(100,162),(100,169),(100,181),(100,246),(101,163),(101,164),(101,170),(101,182),(101,246),(102,161),(102,163),(102,171),(102,183),(102,247),(103,162),(103,164),(103,172),(103,184),(103,247),(104,165),(104,166),(104,173),(104,185),(104,246),(105,167),(105,168),(105,174),(105,186),(105,246),(106,165),(106,167),(106,175),(106,187),(106,247),(107,166),(107,168),(107,176),(107,188),(107,247),(108,161),(108,165),(108,177),(108,189),(108,245),(109,162),(109,166),(109,178),(109,190),(109,245),(110,163),(110,167),(110,179),(110,191),(110,245),(111,164),(111,168),(111,180),(111,192),(111,245),(112,137),(112,145),(112,153),(112,161),(112,248),(113,138),(113,146),(113,154),(113,162),(113,248),(114,139),(114,147),(114,155),(114,163),(114,248),(115,140),(115,148),(115,156),(115,164),(115,248),(116,141),(116,149),(116,157),(116,165),(116,248),(117,142),(117,150),(117,158),(117,166),(117,248),(118,143),(118,151),(118,159),(118,167),(118,248),(119,144),(119,152),(119,160),(119,168),(119,248),(120,229),(120,230),(120,231),(120,232),(121,133),(121,136),(121,231),(121,234),(121,235),(122,132),(122,135),(122,230),(122,233),(122,235),(123,131),(123,134),(123,229),(123,233),(123,234),(124,125),(124,126),(124,127),(124,128),(124,129),(124,130),(124,232),(125,193),(125,197),(125,201),(125,202),(125,242),(126,194),(126,198),(126,203),(126,204),(126,242),(127,195),(127,199),(127,201),(127,203),(127,243),(128,196),(128,200),(128,202),(128,204),(128,243),(129,193),(129,194),(129,195),(129,196),(129,244),(130,197),(130,198),(130,199),(130,200),(130,244),(131,236),(131,237),(131,242),(132,236),(132,238),(132,243),(133,237),(133,238),(133,244),(134,239),(134,240),(134,242),(135,239),(135,241),(135,243),(136,240),(136,241),(136,244),(137,221),(137,254),(138,222),(138,254),(139,223),(139,254),(140,224),(140,254),(141,225),(141,254),(142,226),(142,254),(143,227),(143,254),(144,228),(144,254),(145,205),(145,221),(145,249),(146,206),(146,222),(146,249),(147,207),(147,223),(147,249),(148,208),(148,224),(148,249),(149,209),(149,225),(149,249),(150,210),(150,226),(150,249),(151,211),(151,227),(151,249),(152,212),(152,228),(152,249),(153,213),(153,221),(153,250),(154,214),(154,222),(154,250),(155,215),(155,223),(155,250),(156,216),(156,224),(156,250),(157,217),(157,225),(157,250),(158,218),(158,226),(158,250),(159,219),(159,227),(159,250),(160,220),(160,228),(160,250),(161,205),(161,213),(161,254),(162,206),(162,214),(162,254),(163,207),(163,215),(163,254),(164,208),(164,216),(164,254),(165,209),(165,217),(165,254),(166,210),(166,218),(166,254),(167,211),(167,219),(167,254),(168,212),(168,220),(168,254),(169,205),(169,206),(169,251),(170,207),(170,208),(170,251),(171,205),(171,207),(171,252),(172,206),(172,208),(172,252),(173,209),(173,210),(173,251),(174,211),(174,212),(174,251),(175,209),(175,211),(175,252),(176,210),(176,212),(176,252),(177,205),(177,209),(177,253),(178,206),(178,210),(178,253),(179,207),(179,211),(179,253),(180,208),(180,212),(180,253),(181,213),(181,214),(181,251),(182,215),(182,216),(182,251),(183,213),(183,215),(183,252),(184,214),(184,216),(184,252),(185,217),(185,218),(185,251),(186,219),(186,220),(186,251),(187,217),(187,219),(187,252),(188,218),(188,220),(188,252),(189,213),(189,217),(189,253),(190,214),(190,218),(190,253),(191,215),(191,219),(191,253),(192,216),(192,220),(192,253),(193,221),(193,222),(193,251),(194,223),(194,224),(194,251),(195,221),(195,223),(195,252),(196,222),(196,224),(196,252),(197,225),(197,226),(197,251),(198,227),(198,228),(198,251),(199,225),(199,227),(199,252),(200,226),(200,228),(200,252),(201,221),(201,225),(201,253),(202,222),(202,226),(202,253),(203,223),(203,227),(203,253),(204,224),(204,228),(204,253),(205,255),(206,255),(207,255),(208,255),(209,255),(210,255),(211,255),(212,255),(213,255),(214,255),(215,255),(216,255),(217,255),(218,255),(219,255),(220,255),(221,255),(222,255),(223,255),(224,255),(225,255),(226,255),(227,255),(228,255),(229,242),(229,245),(229,246),(230,243),(230,245),(230,247),(231,244),(231,246),(231,247),(232,242),(232,243),(232,244),(233,236),(233,239),(233,245),(233,248),(234,237),(234,240),(234,246),(234,248),(235,238),(235,241),(235,247),(235,248),(236,249),(236,253),(237,249),(237,251),(238,249),(238,252),(239,250),(239,253),(240,250),(240,251),(241,250),(241,252),(242,251),(242,253),(243,252),(243,253),(244,251),(244,252),(245,253),(245,254),(246,251),(246,254),(247,252),(247,254),(248,249),(248,250),(248,254),(249,255),(250,255),(251,255),(252,255),(253,255),(254,255)],256)=>36 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,13),(1,26),(1,27),(1,47),(1,48),(1,49),(1,50),(1,51),(1,52),(1,53),(1,54),(2,18),(2,19),(2,34),(2,35),(2,43),(2,44),(2,45),(2,46),(2,54),(2,56),(3,16),(3,17),(3,32),(3,33),(3,39),(3,40),(3,41),(3,42),(3,53),(3,56),(4,21),(4,23),(4,31),(4,37),(4,40),(4,44),(4,48),(4,120),(4,121),(5,20),(5,22),(5,30),(5,36),(5,39),(5,43),(5,47),(5,119),(5,121),(6,20),(6,24),(6,28),(6,37),(6,41),(6,45),(6,49),(6,117),(6,122),(7,21),(7,25),(7,29),(7,36),(7,42),(7,46),(7,50),(7,118),(7,122),(8,15),(8,24),(8,25),(8,33),(8,35),(8,38),(8,52),(8,119),(8,120),(9,14),(9,22),(9,23),(9,32),(9,34),(9,38),(9,51),(9,117),(9,118),(10,16),(10,18),(10,26),(10,29),(10,30),(10,55),(10,117),(10,120),(11,17),(11,19),(11,27),(11,28),(11,31),(11,55),(11,118),(11,119),(12,13),(12,14),(12,15),(12,55),(12,56),(12,121),(12,122),(13,62),(13,63),(13,135),(13,136),(13,137),(13,161),(14,57),(14,62),(14,129),(14,178),(14,236),(15,57),(15,63),(15,130),(15,179),(15,237),(16,72),(16,98),(16,99),(16,170),(16,173),(16,211),(17,73),(17,97),(17,100),(17,171),(17,172),(17,211),(18,74),(18,102),(18,103),(18,174),(18,177),(18,211),(19,75),(19,101),(19,104),(19,175),(19,176),(19,211),(20,58),(20,60),(20,76),(20,166),(20,168),(20,212),(21,59),(21,61),(21,77),(21,167),(21,169),(21,212),(22,68),(22,89),(22,93),(22,129),(22,166),(22,209),(23,69),(23,90),(23,94),(23,129),(23,167),(23,210),(24,70),(24,91),(24,95),(24,130),(24,168),(24,210),(25,71),(25,92),(25,96),(25,130),(25,169),(25,209),(26,72),(26,74),(26,106),(26,107),(26,135),(26,162),(26,165),(27,73),(27,75),(27,105),(27,108),(27,135),(27,163),(27,164),(28,97),(28,101),(28,105),(28,116),(28,168),(28,236),(29,98),(29,102),(29,106),(29,115),(29,169),(29,236),(30,99),(30,103),(30,107),(30,115),(30,166),(30,237),(31,100),(31,104),(31,108),(31,116),(31,167),(31,237),(32,89),(32,90),(32,109),(32,113),(32,170),(32,171),(32,178),(33,91),(33,92),(33,110),(33,113),(33,172),(33,173),(33,179),(34,93),(34,94),(34,111),(34,114),(34,174),(34,175),(34,178),(35,95),(35,96),(35,112),(35,114),(35,176),(35,177),(35,179),(36,64),(36,66),(36,79),(36,115),(36,209),(36,212),(37,65),(37,67),(37,80),(37,116),(37,210),(37,212),(38,57),(38,78),(38,113),(38,114),(38,209),(38,210),(39,58),(39,64),(39,81),(39,89),(39,99),(39,172),(39,213),(40,59),(40,65),(40,82),(40,90),(40,100),(40,173),(40,213),(41,58),(41,65),(41,83),(41,91),(41,97),(41,170),(41,214),(42,59),(42,64),(42,84),(42,92),(42,98),(42,171),(42,214),(43,60),(43,66),(43,85),(43,93),(43,103),(43,176),(43,213),(44,61),(44,67),(44,86),(44,94),(44,104),(44,177),(44,213),(45,60),(45,67),(45,87),(45,95),(45,101),(45,174),(45,214),(46,61),(46,66),(46,88),(46,96),(46,102),(46,175),(46,214),(47,68),(47,76),(47,79),(47,81),(47,85),(47,107),(47,136),(47,164),(48,69),(48,77),(48,80),(48,82),(48,86),(48,108),(48,136),(48,165),(49,70),(49,76),(49,80),(49,83),(49,87),(49,105),(49,137),(49,162),(50,71),(50,77),(50,79),(50,84),(50,88),(50,106),(50,137),(50,163),(51,62),(51,68),(51,69),(51,78),(51,109),(51,111),(51,162),(51,163),(52,63),(52,70),(52,71),(52,78),(52,110),(52,112),(52,164),(52,165),(53,72),(53,73),(53,81),(53,82),(53,83),(53,84),(53,109),(53,110),(53,161),(54,74),(54,75),(54,85),(54,86),(54,87),(54,88),(54,111),(54,112),(54,161),(55,135),(55,211),(55,236),(55,237),(56,161),(56,178),(56,179),(56,211),(56,213),(56,214),(57,138),(57,180),(57,252),(58,157),(58,181),(58,183),(58,246),(59,158),(59,182),(59,184),(59,246),(60,159),(60,185),(60,187),(60,246),(61,160),(61,186),(61,188),(61,246),(62,138),(62,189),(62,203),(62,238),(63,138),(63,190),(63,204),(63,239),(64,123),(64,131),(64,224),(64,246),(65,124),(65,132),(65,225),(65,246),(66,125),(66,133),(66,226),(66,246),(67,126),(67,134),(67,227),(67,246),(68,147),(68,151),(68,199),(68,203),(68,234),(69,148),(69,152),(69,200),(69,203),(69,235),(70,149),(70,153),(70,201),(70,204),(70,235),(71,150),(71,154),(71,202),(71,204),(71,234),(72,140),(72,141),(72,191),(72,194),(72,233),(73,139),(73,142),(73,192),(73,193),(73,233),(74,144),(74,145),(74,195),(74,198),(74,233),(75,143),(75,146),(75,196),(75,197),(75,233),(76,157),(76,159),(76,199),(76,201),(76,230),(77,158),(77,160),(77,200),(77,202),(77,230),(78,138),(78,155),(78,156),(78,234),(78,235),(79,127),(79,131),(79,133),(79,230),(79,234),(80,128),(80,132),(80,134),(80,230),(80,235),(81,131),(81,141),(81,147),(81,157),(81,193),(81,231),(82,132),(82,142),(82,148),(82,158),(82,194),(82,231),(83,132),(83,139),(83,149),(83,157),(83,191),(83,232),(84,131),(84,140),(84,150),(84,158),(84,192),(84,232),(85,133),(85,145),(85,151),(85,159),(85,197),(85,231),(86,134),(86,146),(86,152),(86,160),(86,198),(86,231),(87,134),(87,143),(87,153),(87,159),(87,195),(87,232),(88,133),(88,144),(88,154),(88,160),(88,196),(88,232),(89,147),(89,181),(89,224),(89,228),(90,148),(90,182),(90,225),(90,228),(91,149),(91,183),(91,225),(91,229),(92,150),(92,184),(92,224),(92,229),(93,151),(93,185),(93,226),(93,228),(94,152),(94,186),(94,227),(94,228),(95,153),(95,187),(95,227),(95,229),(96,154),(96,188),(96,226),(96,229),(97,124),(97,139),(97,183),(97,247),(98,123),(98,140),(98,184),(98,247),(99,123),(99,141),(99,181),(99,248),(100,124),(100,142),(100,182),(100,248),(101,126),(101,143),(101,187),(101,247),(102,125),(102,144),(102,188),(102,247),(103,125),(103,145),(103,185),(103,248),(104,126),(104,146),(104,186),(104,248),(105,128),(105,139),(105,143),(105,201),(105,238),(106,127),(106,140),(106,144),(106,202),(106,238),(107,127),(107,141),(107,145),(107,199),(107,239),(108,128),(108,142),(108,146),(108,200),(108,239),(109,147),(109,148),(109,155),(109,189),(109,191),(109,192),(110,149),(110,150),(110,155),(110,190),(110,193),(110,194),(111,151),(111,152),(111,156),(111,189),(111,195),(111,196),(112,153),(112,154),(112,156),(112,190),(112,197),(112,198),(113,155),(113,180),(113,224),(113,225),(114,156),(114,180),(114,226),(114,227),(115,123),(115,125),(115,127),(115,252),(116,124),(116,126),(116,128),(116,252),(117,162),(117,166),(117,170),(117,174),(117,210),(117,236),(118,163),(118,167),(118,171),(118,175),(118,209),(118,236),(119,164),(119,168),(119,172),(119,176),(119,209),(119,237),(120,165),(120,169),(120,173),(120,177),(120,210),(120,237),(121,129),(121,136),(121,212),(121,213),(121,237),(122,130),(122,137),(122,212),(122,214),(122,236),(123,205),(123,254),(124,206),(124,254),(125,207),(125,254),(126,208),(126,254),(127,205),(127,207),(127,253),(128,206),(128,208),(128,253),(129,203),(129,228),(129,252),(130,204),(130,229),(130,252),(131,205),(131,242),(131,249),(132,206),(132,243),(132,249),(133,207),(133,244),(133,249),(134,208),(134,245),(134,249),(135,233),(135,238),(135,239),(136,203),(136,230),(136,231),(136,239),(137,204),(137,230),(137,232),(137,238),(138,215),(138,253),(139,206),(139,218),(139,250),(140,205),(140,219),(140,250),(141,205),(141,216),(141,251),(142,206),(142,217),(142,251),(143,208),(143,222),(143,250),(144,207),(144,223),(144,250),(145,207),(145,220),(145,251),(146,208),(146,221),(146,251),(147,216),(147,240),(147,242),(148,217),(148,240),(148,243),(149,218),(149,241),(149,243),(150,219),(150,241),(150,242),(151,220),(151,240),(151,244),(152,221),(152,240),(152,245),(153,222),(153,241),(153,245),(154,223),(154,241),(154,244),(155,215),(155,242),(155,243),(156,215),(156,244),(156,245),(157,216),(157,218),(157,249),(158,217),(158,219),(158,249),(159,220),(159,222),(159,249),(160,221),(160,223),(160,249),(161,189),(161,190),(161,231),(161,232),(161,233),(162,191),(162,195),(162,199),(162,235),(162,238),(163,192),(163,196),(163,200),(163,234),(163,238),(164,193),(164,197),(164,201),(164,234),(164,239),(165,194),(165,198),(165,202),(165,235),(165,239),(166,181),(166,185),(166,199),(166,252),(167,182),(167,186),(167,200),(167,252),(168,183),(168,187),(168,201),(168,252),(169,184),(169,188),(169,202),(169,252),(170,181),(170,191),(170,225),(170,247),(171,182),(171,192),(171,224),(171,247),(172,183),(172,193),(172,224),(172,248),(173,184),(173,194),(173,225),(173,248),(174,185),(174,195),(174,227),(174,247),(175,186),(175,196),(175,226),(175,247),(176,187),(176,197),(176,226),(176,248),(177,188),(177,198),(177,227),(177,248),(178,180),(178,189),(178,228),(178,247),(179,180),(179,190),(179,229),(179,248),(180,215),(180,254),(181,216),(181,254),(182,217),(182,254),(183,218),(183,254),(184,219),(184,254),(185,220),(185,254),(186,221),(186,254),(187,222),(187,254),(188,223),(188,254),(189,215),(189,240),(189,250),(190,215),(190,241),(190,251),(191,216),(191,243),(191,250),(192,217),(192,242),(192,250),(193,218),(193,242),(193,251),(194,219),(194,243),(194,251),(195,220),(195,245),(195,250),(196,221),(196,244),(196,250),(197,222),(197,244),(197,251),(198,223),(198,245),(198,251),(199,216),(199,220),(199,253),(200,217),(200,221),(200,253),(201,218),(201,222),(201,253),(202,219),(202,223),(202,253),(203,240),(203,253),(204,241),(204,253),(205,255),(206,255),(207,255),(208,255),(209,224),(209,226),(209,234),(209,252),(210,225),(210,227),(210,235),(210,252),(211,233),(211,247),(211,248),(212,230),(212,246),(212,252),(213,228),(213,231),(213,246),(213,248),(214,229),(214,232),(214,246),(214,247),(215,255),(216,255),(217,255),(218,255),(219,255),(220,255),(221,255),(222,255),(223,255),(224,242),(224,254),(225,243),(225,254),(226,244),(226,254),(227,245),(227,254),(228,240),(228,254),(229,241),(229,254),(230,249),(230,253),(231,240),(231,249),(231,251),(232,241),(232,249),(232,250),(233,250),(233,251),(234,242),(234,244),(234,253),(235,243),(235,245),(235,253),(236,238),(236,247),(236,252),(237,239),(237,248),(237,252),(238,250),(238,253),(239,251),(239,253),(240,255),(241,255),(242,255),(243,255),(244,255),(245,255),(246,249),(246,254),(247,250),(247,254),(248,251),(248,254),(249,255),(250,255),(251,255),(252,253),(252,254),(253,255),(254,255)],256)=>58 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,13),(1,17),(1,22),(1,23),(1,25),(1,31),(1,37),(1,45),(1,136),(2,12),(2,16),(2,20),(2,21),(2,24),(2,30),(2,36),(2,44),(2,136),(3,15),(3,19),(3,21),(3,23),(3,27),(3,33),(3,39),(3,47),(3,135),(4,14),(4,18),(4,20),(4,22),(4,26),(4,32),(4,38),(4,46),(4,135),(5,16),(5,17),(5,18),(5,19),(5,29),(5,35),(5,41),(5,49),(5,134),(6,12),(6,13),(6,14),(6,15),(6,28),(6,34),(6,40),(6,48),(6,134),(7,30),(7,31),(7,32),(7,33),(7,34),(7,35),(7,43),(7,51),(7,133),(8,24),(8,25),(8,26),(8,27),(8,28),(8,29),(8,42),(8,50),(8,133),(9,44),(9,45),(9,46),(9,47),(9,48),(9,49),(9,50),(9,51),(9,132),(10,36),(10,37),(10,38),(10,39),(10,40),(10,41),(10,42),(10,43),(10,132),(11,132),(11,133),(11,134),(11,135),(11,136),(12,52),(12,76),(12,100),(12,112),(12,124),(12,125),(12,250),(13,53),(13,77),(13,101),(13,113),(13,126),(13,127),(13,250),(14,54),(14,78),(14,102),(14,114),(14,124),(14,126),(14,251),(15,55),(15,79),(15,103),(15,115),(15,125),(15,127),(15,251),(16,56),(16,80),(16,104),(16,116),(16,128),(16,129),(16,250),(17,57),(17,81),(17,105),(17,117),(17,130),(17,131),(17,250),(18,58),(18,82),(18,106),(18,118),(18,128),(18,130),(18,251),(19,59),(19,83),(19,107),(19,119),(19,129),(19,131),(19,251),(20,60),(20,84),(20,108),(20,120),(20,124),(20,128),(20,249),(21,61),(21,85),(21,109),(21,121),(21,125),(21,129),(21,249),(22,62),(22,86),(22,110),(22,122),(22,126),(22,130),(22,249),(23,63),(23,87),(23,111),(23,123),(23,127),(23,131),(23,249),(24,64),(24,88),(24,100),(24,104),(24,108),(24,109),(24,252),(25,65),(25,89),(25,101),(25,105),(25,110),(25,111),(25,252),(26,66),(26,90),(26,102),(26,106),(26,108),(26,110),(26,253),(27,67),(27,91),(27,103),(27,107),(27,109),(27,111),(27,253),(28,68),(28,92),(28,100),(28,101),(28,102),(28,103),(28,254),(29,69),(29,93),(29,104),(29,105),(29,106),(29,107),(29,254),(30,70),(30,94),(30,112),(30,116),(30,120),(30,121),(30,252),(31,71),(31,95),(31,113),(31,117),(31,122),(31,123),(31,252),(32,72),(32,96),(32,114),(32,118),(32,120),(32,122),(32,253),(33,73),(33,97),(33,115),(33,119),(33,121),(33,123),(33,253),(34,74),(34,98),(34,112),(34,113),(34,114),(34,115),(34,254),(35,75),(35,99),(35,116),(35,117),(35,118),(35,119),(35,254),(36,52),(36,56),(36,60),(36,61),(36,64),(36,70),(36,255),(37,53),(37,57),(37,62),(37,63),(37,65),(37,71),(37,255),(38,54),(38,58),(38,60),(38,62),(38,66),(38,72),(38,256),(39,55),(39,59),(39,61),(39,63),(39,67),(39,73),(39,256),(40,52),(40,53),(40,54),(40,55),(40,68),(40,74),(40,257),(41,56),(41,57),(41,58),(41,59),(41,69),(41,75),(41,257),(42,64),(42,65),(42,66),(42,67),(42,68),(42,69),(42,258),(43,70),(43,71),(43,72),(43,73),(43,74),(43,75),(43,258),(44,76),(44,80),(44,84),(44,85),(44,88),(44,94),(44,255),(45,77),(45,81),(45,86),(45,87),(45,89),(45,95),(45,255),(46,78),(46,82),(46,84),(46,86),(46,90),(46,96),(46,256),(47,79),(47,83),(47,85),(47,87),(47,91),(47,97),(47,256),(48,76),(48,77),(48,78),(48,79),(48,92),(48,98),(48,257),(49,80),(49,81),(49,82),(49,83),(49,93),(49,99),(49,257),(50,88),(50,89),(50,90),(50,91),(50,92),(50,93),(50,258),(51,94),(51,95),(51,96),(51,97),(51,98),(51,99),(51,258),(52,137),(52,149),(52,161),(52,162),(52,263),(53,138),(53,150),(53,163),(53,164),(53,263),(54,139),(54,151),(54,161),(54,163),(54,264),(55,140),(55,152),(55,162),(55,164),(55,264),(56,141),(56,153),(56,165),(56,166),(56,263),(57,142),(57,154),(57,167),(57,168),(57,263),(58,143),(58,155),(58,165),(58,167),(58,264),(59,144),(59,156),(59,166),(59,168),(59,264),(60,145),(60,157),(60,161),(60,165),(60,265),(61,146),(61,158),(61,162),(61,166),(61,265),(62,147),(62,159),(62,163),(62,167),(62,265),(63,148),(63,160),(63,164),(63,168),(63,265),(64,137),(64,141),(64,145),(64,146),(64,266),(65,138),(65,142),(65,147),(65,148),(65,266),(66,139),(66,143),(66,145),(66,147),(66,267),(67,140),(67,144),(67,146),(67,148),(67,267),(68,137),(68,138),(68,139),(68,140),(68,268),(69,141),(69,142),(69,143),(69,144),(69,268),(70,149),(70,153),(70,157),(70,158),(70,266),(71,150),(71,154),(71,159),(71,160),(71,266),(72,151),(72,155),(72,157),(72,159),(72,267),(73,152),(73,156),(73,158),(73,160),(73,267),(74,149),(74,150),(74,151),(74,152),(74,268),(75,153),(75,154),(75,155),(75,156),(75,268),(76,169),(76,181),(76,193),(76,194),(76,263),(77,170),(77,182),(77,195),(77,196),(77,263),(78,171),(78,183),(78,193),(78,195),(78,264),(79,172),(79,184),(79,194),(79,196),(79,264),(80,173),(80,185),(80,197),(80,198),(80,263),(81,174),(81,186),(81,199),(81,200),(81,263),(82,175),(82,187),(82,197),(82,199),(82,264),(83,176),(83,188),(83,198),(83,200),(83,264),(84,177),(84,189),(84,193),(84,197),(84,265),(85,178),(85,190),(85,194),(85,198),(85,265),(86,179),(86,191),(86,195),(86,199),(86,265),(87,180),(87,192),(87,196),(87,200),(87,265),(88,169),(88,173),(88,177),(88,178),(88,266),(89,170),(89,174),(89,179),(89,180),(89,266),(90,171),(90,175),(90,177),(90,179),(90,267),(91,172),(91,176),(91,178),(91,180),(91,267),(92,169),(92,170),(92,171),(92,172),(92,268),(93,173),(93,174),(93,175),(93,176),(93,268),(94,181),(94,185),(94,189),(94,190),(94,266),(95,182),(95,186),(95,191),(95,192),(95,266),(96,183),(96,187),(96,189),(96,191),(96,267),(97,184),(97,188),(97,190),(97,192),(97,267),(98,181),(98,182),(98,183),(98,184),(98,268),(99,185),(99,186),(99,187),(99,188),(99,268),(100,137),(100,169),(100,201),(100,202),(100,260),(101,138),(101,170),(101,203),(101,204),(101,260),(102,139),(102,171),(102,201),(102,203),(102,261),(103,140),(103,172),(103,202),(103,204),(103,261),(104,141),(104,173),(104,205),(104,206),(104,260),(105,142),(105,174),(105,207),(105,208),(105,260),(106,143),(106,175),(106,205),(106,207),(106,261),(107,144),(107,176),(107,206),(107,208),(107,261),(108,145),(108,177),(108,201),(108,205),(108,262),(109,146),(109,178),(109,202),(109,206),(109,262),(110,147),(110,179),(110,203),(110,207),(110,262),(111,148),(111,180),(111,204),(111,208),(111,262),(112,149),(112,181),(112,209),(112,210),(112,260),(113,150),(113,182),(113,211),(113,212),(113,260),(114,151),(114,183),(114,209),(114,211),(114,261),(115,152),(115,184),(115,210),(115,212),(115,261),(116,153),(116,185),(116,213),(116,214),(116,260),(117,154),(117,186),(117,215),(117,216),(117,260),(118,155),(118,187),(118,213),(118,215),(118,261),(119,156),(119,188),(119,214),(119,216),(119,261),(120,157),(120,189),(120,209),(120,213),(120,262),(121,158),(121,190),(121,210),(121,214),(121,262),(122,159),(122,191),(122,211),(122,215),(122,262),(123,160),(123,192),(123,212),(123,216),(123,262),(124,161),(124,193),(124,201),(124,209),(124,259),(125,162),(125,194),(125,202),(125,210),(125,259),(126,163),(126,195),(126,203),(126,211),(126,259),(127,164),(127,196),(127,204),(127,212),(127,259),(128,165),(128,197),(128,205),(128,213),(128,259),(129,166),(129,198),(129,206),(129,214),(129,259),(130,167),(130,199),(130,207),(130,215),(130,259),(131,168),(131,200),(131,208),(131,216),(131,259),(132,255),(132,256),(132,257),(132,258),(133,252),(133,253),(133,254),(133,258),(134,250),(134,251),(134,254),(134,257),(135,249),(135,251),(135,253),(135,256),(136,249),(136,250),(136,252),(136,255),(137,217),(137,218),(137,269),(138,219),(138,220),(138,269),(139,217),(139,219),(139,270),(140,218),(140,220),(140,270),(141,221),(141,222),(141,269),(142,223),(142,224),(142,269),(143,221),(143,223),(143,270),(144,222),(144,224),(144,270),(145,217),(145,221),(145,271),(146,218),(146,222),(146,271),(147,219),(147,223),(147,271),(148,220),(148,224),(148,271),(149,225),(149,226),(149,269),(150,227),(150,228),(150,269),(151,225),(151,227),(151,270),(152,226),(152,228),(152,270),(153,229),(153,230),(153,269),(154,231),(154,232),(154,269),(155,229),(155,231),(155,270),(156,230),(156,232),(156,270),(157,225),(157,229),(157,271),(158,226),(158,230),(158,271),(159,227),(159,231),(159,271),(160,228),(160,232),(160,271),(161,217),(161,225),(161,272),(162,218),(162,226),(162,272),(163,219),(163,227),(163,272),(164,220),(164,228),(164,272),(165,221),(165,229),(165,272),(166,222),(166,230),(166,272),(167,223),(167,231),(167,272),(168,224),(168,232),(168,272),(169,233),(169,234),(169,269),(170,235),(170,236),(170,269),(171,233),(171,235),(171,270),(172,234),(172,236),(172,270),(173,237),(173,238),(173,269),(174,239),(174,240),(174,269),(175,237),(175,239),(175,270),(176,238),(176,240),(176,270),(177,233),(177,237),(177,271),(178,234),(178,238),(178,271),(179,235),(179,239),(179,271),(180,236),(180,240),(180,271),(181,241),(181,242),(181,269),(182,243),(182,244),(182,269),(183,241),(183,243),(183,270),(184,242),(184,244),(184,270),(185,245),(185,246),(185,269),(186,247),(186,248),(186,269),(187,245),(187,247),(187,270),(188,246),(188,248),(188,270),(189,241),(189,245),(189,271),(190,242),(190,246),(190,271),(191,243),(191,247),(191,271),(192,244),(192,248),(192,271),(193,233),(193,241),(193,272),(194,234),(194,242),(194,272),(195,235),(195,243),(195,272),(196,236),(196,244),(196,272),(197,237),(197,245),(197,272),(198,238),(198,246),(198,272),(199,239),(199,247),(199,272),(200,240),(200,248),(200,272),(201,217),(201,233),(201,273),(202,218),(202,234),(202,273),(203,219),(203,235),(203,273),(204,220),(204,236),(204,273),(205,221),(205,237),(205,273),(206,222),(206,238),(206,273),(207,223),(207,239),(207,273),(208,224),(208,240),(208,273),(209,225),(209,241),(209,273),(210,226),(210,242),(210,273),(211,227),(211,243),(211,273),(212,228),(212,244),(212,273),(213,229),(213,245),(213,273),(214,230),(214,246),(214,273),(215,231),(215,247),(215,273),(216,232),(216,248),(216,273),(217,274),(218,274),(219,274),(220,274),(221,274),(222,274),(223,274),(224,274),(225,274),(226,274),(227,274),(228,274),(229,274),(230,274),(231,274),(232,274),(233,274),(234,274),(235,274),(236,274),(237,274),(238,274),(239,274),(240,274),(241,274),(242,274),(243,274),(244,274),(245,274),(246,274),(247,274),(248,274),(249,259),(249,262),(249,265),(250,259),(250,260),(250,263),(251,259),(251,261),(251,264),(252,260),(252,262),(252,266),(253,261),(253,262),(253,267),(254,260),(254,261),(254,268),(255,263),(255,265),(255,266),(256,264),(256,265),(256,267),(257,263),(257,264),(257,268),(258,266),(258,267),(258,268),(259,272),(259,273),(260,269),(260,273),(261,270),(261,273),(262,271),(262,273),(263,269),(263,272),(264,270),(264,272),(265,271),(265,272),(266,269),(266,271),(267,270),(267,271),(268,269),(268,270),(269,274),(270,274),(271,274),(272,274),(273,274)],275)=>43 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,26),(1,27),(1,52),(1,53),(1,54),(1,55),(1,56),(1,57),(1,58),(1,59),(1,60),(2,16),(2,22),(2,32),(2,33),(2,38),(2,39),(2,47),(2,48),(2,57),(2,142),(3,15),(3,21),(3,29),(3,31),(3,35),(3,37),(3,46),(3,48),(3,56),(3,141),(4,14),(4,20),(4,28),(4,30),(4,34),(4,36),(4,46),(4,47),(4,55),(4,140),(5,17),(5,20),(5,31),(5,32),(5,40),(5,42),(5,49),(5,51),(5,58),(5,139),(6,18),(6,21),(6,30),(6,33),(6,41),(6,43),(6,50),(6,51),(6,59),(6,138),(7,19),(7,22),(7,28),(7,29),(7,44),(7,45),(7,49),(7,50),(7,60),(7,137),(8,23),(8,24),(8,36),(8,37),(8,40),(8,41),(8,52),(8,137),(8,142),(9,23),(9,25),(9,34),(9,38),(9,42),(9,44),(9,53),(9,138),(9,141),(10,24),(10,25),(10,35),(10,39),(10,43),(10,45),(10,54),(10,139),(10,140),(11,13),(11,17),(11,18),(11,19),(11,27),(11,140),(11,141),(11,142),(12,13),(12,14),(12,15),(12,16),(12,26),(12,137),(12,138),(12,139),(13,61),(13,231),(13,232),(13,233),(14,72),(14,73),(14,80),(14,193),(14,195),(14,231),(15,72),(15,74),(15,81),(15,194),(15,196),(15,232),(16,73),(16,74),(16,82),(16,197),(16,198),(16,233),(17,75),(17,77),(17,83),(17,202),(17,203),(17,231),(18,76),(18,77),(18,84),(18,201),(18,204),(18,232),(19,75),(19,76),(19,85),(19,199),(19,200),(19,233),(20,69),(20,125),(20,127),(20,228),(20,229),(20,231),(21,70),(21,126),(21,128),(21,228),(21,230),(21,232),(22,71),(22,129),(22,130),(22,229),(22,230),(22,233),(23,62),(23,86),(23,131),(23,134),(23,241),(23,245),(24,62),(24,87),(24,132),(24,135),(24,240),(24,244),(25,62),(25,88),(25,133),(25,136),(25,242),(25,243),(26,61),(26,80),(26,81),(26,82),(26,187),(26,188),(26,189),(27,61),(27,83),(27,84),(27,85),(27,190),(27,191),(27,192),(28,63),(28,66),(28,89),(28,119),(28,195),(28,199),(28,229),(29,63),(29,67),(29,90),(29,120),(29,196),(29,200),(29,230),(30,64),(30,66),(30,91),(30,121),(30,193),(30,201),(30,228),(31,65),(31,67),(31,92),(31,122),(31,194),(31,202),(31,228),(32,65),(32,68),(32,93),(32,123),(32,198),(32,203),(32,229),(33,64),(33,68),(33,94),(33,124),(33,197),(33,204),(33,230),(34,101),(34,114),(34,119),(34,127),(34,131),(34,193),(34,243),(35,102),(35,115),(35,120),(35,128),(35,132),(35,194),(35,243),(36,103),(36,113),(36,121),(36,125),(36,131),(36,195),(36,244),(37,104),(37,113),(37,122),(37,126),(37,132),(37,196),(37,245),(38,105),(38,114),(38,123),(38,130),(38,133),(38,197),(38,245),(39,106),(39,115),(39,124),(39,129),(39,133),(39,198),(39,244),(40,107),(40,118),(40,122),(40,125),(40,134),(40,203),(40,240),(41,108),(41,118),(41,121),(41,126),(41,135),(41,204),(41,241),(42,109),(42,116),(42,123),(42,127),(42,134),(42,202),(42,242),(43,110),(43,117),(43,124),(43,128),(43,135),(43,201),(43,242),(44,111),(44,116),(44,119),(44,130),(44,136),(44,200),(44,241),(45,112),(45,117),(45,120),(45,129),(45,136),(45,199),(45,240),(46,63),(46,72),(46,78),(46,97),(46,113),(46,228),(46,243),(47,64),(47,73),(47,78),(47,95),(47,114),(47,229),(47,244),(48,65),(48,74),(48,78),(48,96),(48,115),(48,230),(48,245),(49,67),(49,75),(49,79),(49,98),(49,116),(49,229),(49,240),(50,66),(50,76),(50,79),(50,99),(50,117),(50,230),(50,241),(51,68),(51,77),(51,79),(51,100),(51,118),(51,228),(51,242),(52,86),(52,87),(52,103),(52,104),(52,107),(52,108),(52,187),(52,192),(53,86),(53,88),(53,101),(53,105),(53,109),(53,111),(53,188),(53,191),(54,87),(54,88),(54,102),(54,106),(54,110),(54,112),(54,189),(54,190),(55,69),(55,80),(55,89),(55,91),(55,95),(55,97),(55,101),(55,103),(55,190),(56,70),(56,81),(56,90),(56,92),(56,96),(56,97),(56,102),(56,104),(56,191),(57,71),(57,82),(57,93),(57,94),(57,95),(57,96),(57,105),(57,106),(57,192),(58,69),(58,83),(58,92),(58,93),(58,98),(58,100),(58,107),(58,109),(58,189),(59,70),(59,84),(59,91),(59,94),(59,99),(59,100),(59,108),(59,110),(59,188),(60,71),(60,85),(60,89),(60,90),(60,98),(60,99),(60,111),(60,112),(60,187),(61,264),(61,265),(61,266),(62,168),(62,276),(62,277),(63,171),(63,207),(63,251),(63,278),(64,169),(64,205),(64,249),(64,278),(65,170),(65,206),(65,250),(65,278),(66,172),(66,208),(66,246),(66,278),(67,173),(67,209),(67,247),(67,278),(68,174),(68,210),(68,248),(68,278),(69,154),(69,156),(69,255),(69,256),(69,264),(70,155),(70,157),(70,255),(70,257),(70,265),(71,158),(71,159),(71,256),(71,257),(71,266),(72,143),(72,150),(72,207),(72,284),(73,143),(73,148),(73,205),(73,282),(74,143),(74,149),(74,206),(74,283),(75,144),(75,151),(75,209),(75,282),(76,144),(76,152),(76,208),(76,283),(77,144),(77,153),(77,210),(77,284),(78,143),(78,160),(78,277),(78,278),(79,144),(79,161),(79,276),(79,278),(80,148),(80,150),(80,211),(80,213),(80,264),(81,149),(81,150),(81,212),(81,214),(81,265),(82,148),(82,149),(82,215),(82,216),(82,266),(83,151),(83,153),(83,220),(83,221),(83,264),(84,152),(84,153),(84,219),(84,222),(84,265),(85,151),(85,152),(85,217),(85,218),(85,266),(86,168),(86,175),(86,178),(86,259),(86,263),(87,168),(87,176),(87,179),(87,258),(87,262),(88,168),(88,177),(88,180),(88,260),(88,261),(89,171),(89,172),(89,181),(89,213),(89,217),(89,256),(90,171),(90,173),(90,182),(90,214),(90,218),(90,257),(91,169),(91,172),(91,183),(91,211),(91,219),(91,255),(92,170),(92,173),(92,184),(92,212),(92,220),(92,255),(93,170),(93,174),(93,185),(93,216),(93,221),(93,256),(94,169),(94,174),(94,186),(94,215),(94,222),(94,257),(95,148),(95,160),(95,163),(95,169),(95,256),(95,262),(96,149),(96,160),(96,164),(96,170),(96,257),(96,263),(97,150),(97,160),(97,162),(97,171),(97,255),(97,261),(98,151),(98,161),(98,165),(98,173),(98,256),(98,258),(99,152),(99,161),(99,166),(99,172),(99,257),(99,259),(100,153),(100,161),(100,167),(100,174),(100,255),(100,260),(101,156),(101,163),(101,175),(101,181),(101,211),(101,261),(102,157),(102,164),(102,176),(102,182),(102,212),(102,261),(103,154),(103,162),(103,175),(103,183),(103,213),(103,262),(104,155),(104,162),(104,176),(104,184),(104,214),(104,263),(105,159),(105,163),(105,177),(105,185),(105,215),(105,263),(106,158),(106,164),(106,177),(106,186),(106,216),(106,262),(107,154),(107,167),(107,178),(107,184),(107,221),(107,258),(108,155),(108,167),(108,179),(108,183),(108,222),(108,259),(109,156),(109,165),(109,178),(109,185),(109,220),(109,260),(110,157),(110,166),(110,179),(110,186),(110,219),(110,260),(111,159),(111,165),(111,180),(111,181),(111,218),(111,259),(112,158),(112,166),(112,180),(112,182),(112,217),(112,258),(113,162),(113,207),(113,252),(113,277),(114,163),(114,205),(114,253),(114,277),(115,164),(115,206),(115,254),(115,277),(116,165),(116,209),(116,253),(116,276),(117,166),(117,208),(117,254),(117,276),(118,167),(118,210),(118,252),(118,276),(119,181),(119,246),(119,251),(119,253),(120,182),(120,247),(120,251),(120,254),(121,183),(121,246),(121,249),(121,252),(122,184),(122,247),(122,250),(122,252),(123,185),(123,248),(123,250),(123,253),(124,186),(124,248),(124,249),(124,254),(125,145),(125,154),(125,252),(125,282),(126,146),(126,155),(126,252),(126,283),(127,145),(127,156),(127,253),(127,284),(128,146),(128,157),(128,254),(128,284),(129,147),(129,158),(129,254),(129,282),(130,147),(130,159),(130,253),(130,283),(131,145),(131,175),(131,246),(131,277),(132,146),(132,176),(132,247),(132,277),(133,147),(133,177),(133,248),(133,277),(134,145),(134,178),(134,250),(134,276),(135,146),(135,179),(135,249),(135,276),(136,147),(136,180),(136,251),(136,276),(137,187),(137,195),(137,196),(137,233),(137,240),(137,241),(138,188),(138,193),(138,197),(138,232),(138,241),(138,242),(139,189),(139,194),(139,198),(139,231),(139,240),(139,242),(140,190),(140,199),(140,201),(140,231),(140,243),(140,244),(141,191),(141,200),(141,202),(141,232),(141,243),(141,245),(142,192),(142,203),(142,204),(142,233),(142,244),(142,245),(143,223),(143,288),(144,224),(144,288),(145,225),(145,288),(146,226),(146,288),(147,227),(147,288),(148,223),(148,234),(148,285),(149,223),(149,235),(149,286),(150,223),(150,236),(150,287),(151,224),(151,238),(151,285),(152,224),(152,237),(152,286),(153,224),(153,239),(153,287),(154,225),(154,273),(154,285),(155,226),(155,273),(155,286),(156,225),(156,274),(156,287),(157,226),(157,275),(157,287),(158,227),(158,275),(158,285),(159,227),(159,274),(159,286),(160,223),(160,279),(160,281),(161,224),(161,279),(161,280),(162,236),(162,273),(162,281),(163,234),(163,274),(163,281),(164,235),(164,275),(164,281),(165,238),(165,274),(165,280),(166,237),(166,275),(166,280),(167,239),(167,273),(167,280),(168,280),(168,281),(169,234),(169,270),(169,279),(170,235),(170,271),(170,279),(171,236),(171,272),(171,279),(172,237),(172,267),(172,279),(173,238),(173,268),(173,279),(174,239),(174,269),(174,279),(175,225),(175,267),(175,281),(176,226),(176,268),(176,281),(177,227),(177,269),(177,281),(178,225),(178,271),(178,280),(179,226),(179,270),(179,280),(180,227),(180,272),(180,280),(181,267),(181,272),(181,274),(182,268),(182,272),(182,275),(183,267),(183,270),(183,273),(184,268),(184,271),(184,273),(185,269),(185,271),(185,274),(186,269),(186,270),(186,275),(187,213),(187,214),(187,258),(187,259),(187,266),(188,211),(188,215),(188,259),(188,260),(188,265),(189,212),(189,216),(189,258),(189,260),(189,264),(190,217),(190,219),(190,261),(190,262),(190,264),(191,218),(191,220),(191,261),(191,263),(191,265),(192,221),(192,222),(192,262),(192,263),(192,266),(193,205),(193,211),(193,246),(193,284),(194,206),(194,212),(194,247),(194,284),(195,207),(195,213),(195,246),(195,282),(196,207),(196,214),(196,247),(196,283),(197,205),(197,215),(197,248),(197,283),(198,206),(198,216),(198,248),(198,282),(199,208),(199,217),(199,251),(199,282),(200,209),(200,218),(200,251),(200,283),(201,208),(201,219),(201,249),(201,284),(202,209),(202,220),(202,250),(202,284),(203,210),(203,221),(203,250),(203,282),(204,210),(204,222),(204,249),(204,283),(205,234),(205,288),(206,235),(206,288),(207,236),(207,288),(208,237),(208,288),(209,238),(209,288),(210,239),(210,288),(211,234),(211,267),(211,287),(212,235),(212,268),(212,287),(213,236),(213,267),(213,285),(214,236),(214,268),(214,286),(215,234),(215,269),(215,286),(216,235),(216,269),(216,285),(217,237),(217,272),(217,285),(218,238),(218,272),(218,286),(219,237),(219,270),(219,287),(220,238),(220,271),(220,287),(221,239),(221,271),(221,285),(222,239),(222,270),(222,286),(223,289),(224,289),(225,289),(226,289),(227,289),(228,252),(228,255),(228,278),(228,284),(229,253),(229,256),(229,278),(229,282),(230,254),(230,257),(230,278),(230,283),(231,264),(231,282),(231,284),(232,265),(232,283),(232,284),(233,266),(233,282),(233,283),(234,289),(235,289),(236,289),(237,289),(238,289),(239,289),(240,247),(240,258),(240,276),(240,282),(241,246),(241,259),(241,276),(241,283),(242,248),(242,260),(242,276),(242,284),(243,251),(243,261),(243,277),(243,284),(244,249),(244,262),(244,277),(244,282),(245,250),(245,263),(245,277),(245,283),(246,267),(246,288),(247,268),(247,288),(248,269),(248,288),(249,270),(249,288),(250,271),(250,288),(251,272),(251,288),(252,273),(252,288),(253,274),(253,288),(254,275),(254,288),(255,273),(255,279),(255,287),(256,274),(256,279),(256,285),(257,275),(257,279),(257,286),(258,268),(258,280),(258,285),(259,267),(259,280),(259,286),(260,269),(260,280),(260,287),(261,272),(261,281),(261,287),(262,270),(262,281),(262,285),(263,271),(263,281),(263,286),(264,285),(264,287),(265,286),(265,287),(266,285),(266,286),(267,289),(268,289),(269,289),(270,289),(271,289),(272,289),(273,289),(274,289),(275,289),(276,280),(276,288),(277,281),(277,288),(278,279),(278,288),(279,289),(280,289),(281,289),(282,285),(282,288),(283,286),(283,288),(284,287),(284,288),(285,289),(286,289),(287,289),(288,289)],290)=>38 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(1,22),(1,28),(1,38),(1,42),(1,47),(1,51),(1,56),(1,57),(1,135),(2,16),(2,21),(2,27),(2,37),(2,41),(2,46),(2,50),(2,54),(2,55),(2,135),(3,19),(3,24),(3,30),(3,40),(3,44),(3,49),(3,53),(3,55),(3,57),(3,134),(4,18),(4,23),(4,29),(4,39),(4,43),(4,48),(4,52),(4,54),(4,56),(4,134),(5,14),(5,26),(5,32),(5,34),(5,36),(5,50),(5,51),(5,52),(5,53),(5,136),(6,13),(6,25),(6,31),(6,33),(6,35),(6,46),(6,47),(6,48),(6,49),(6,136),(7,15),(7,21),(7,22),(7,23),(7,24),(7,31),(7,32),(7,58),(7,60),(8,20),(8,25),(8,26),(8,27),(8,28),(8,29),(8,30),(8,58),(8,59),(9,33),(9,34),(9,41),(9,42),(9,43),(9,44),(9,45),(9,59),(9,60),(10,35),(10,36),(10,37),(10,38),(10,39),(10,40),(10,45),(10,58),(10,61),(11,16),(11,17),(11,18),(11,19),(11,20),(11,60),(11,61),(11,136),(12,13),(12,14),(12,15),(12,59),(12,61),(12,134),(12,135),(13,78),(13,168),(13,169),(13,196),(13,259),(14,79),(14,170),(14,171),(14,197),(14,259),(15,78),(15,79),(15,154),(15,155),(15,263),(16,62),(16,63),(16,80),(16,164),(16,198),(16,257),(17,64),(17,65),(17,81),(17,165),(17,199),(17,257),(18,62),(18,64),(18,82),(18,166),(18,200),(18,258),(19,63),(19,65),(19,83),(19,167),(19,201),(19,258),(20,80),(20,81),(20,82),(20,83),(20,153),(20,263),(21,66),(21,67),(21,84),(21,88),(21,154),(21,198),(21,204),(22,68),(22,69),(22,85),(22,89),(22,154),(22,199),(22,205),(23,66),(23,68),(23,86),(23,90),(23,155),(23,200),(23,206),(24,67),(24,69),(24,87),(24,91),(24,155),(24,201),(24,207),(25,92),(25,93),(25,94),(25,95),(25,153),(25,196),(25,202),(26,96),(26,97),(26,98),(26,99),(26,153),(26,197),(26,203),(27,80),(27,92),(27,96),(27,116),(27,117),(27,204),(27,260),(28,81),(28,93),(28,97),(28,118),(28,119),(28,205),(28,260),(29,82),(29,94),(29,98),(29,116),(29,118),(29,206),(29,261),(30,83),(30,95),(30,99),(30,117),(30,119),(30,207),(30,261),(31,78),(31,84),(31,85),(31,86),(31,87),(31,202),(31,262),(32,79),(32,88),(32,89),(32,90),(32,91),(32,203),(32,262),(33,100),(33,101),(33,102),(33,103),(33,132),(33,196),(33,262),(34,104),(34,105),(34,106),(34,107),(34,133),(34,197),(34,262),(35,120),(35,121),(35,122),(35,123),(35,132),(35,202),(35,259),(36,124),(36,125),(36,126),(36,127),(36,133),(36,203),(36,259),(37,108),(37,109),(37,120),(37,124),(37,128),(37,204),(37,257),(38,110),(38,111),(38,121),(38,125),(38,129),(38,205),(38,257),(39,108),(39,110),(39,122),(39,126),(39,130),(39,206),(39,258),(40,109),(40,111),(40,123),(40,127),(40,131),(40,207),(40,258),(41,100),(41,104),(41,112),(41,113),(41,128),(41,198),(41,260),(42,101),(42,105),(42,114),(42,115),(42,129),(42,199),(42,260),(43,102),(43,106),(43,112),(43,114),(43,130),(43,200),(43,261),(44,103),(44,107),(44,113),(44,115),(44,131),(44,201),(44,261),(45,128),(45,129),(45,130),(45,131),(45,132),(45,133),(45,263),(46,70),(46,71),(46,84),(46,92),(46,100),(46,120),(46,164),(46,168),(47,72),(47,73),(47,85),(47,93),(47,101),(47,121),(47,165),(47,168),(48,70),(48,72),(48,86),(48,94),(48,102),(48,122),(48,166),(48,169),(49,71),(49,73),(49,87),(49,95),(49,103),(49,123),(49,167),(49,169),(50,74),(50,75),(50,88),(50,96),(50,104),(50,124),(50,164),(50,170),(51,76),(51,77),(51,89),(51,97),(51,105),(51,125),(51,165),(51,170),(52,74),(52,76),(52,90),(52,98),(52,106),(52,126),(52,166),(52,171),(53,75),(53,77),(53,91),(53,99),(53,107),(53,127),(53,167),(53,171),(54,62),(54,66),(54,70),(54,74),(54,108),(54,112),(54,116),(54,244),(55,63),(55,67),(55,71),(55,75),(55,109),(55,113),(55,117),(55,244),(56,64),(56,68),(56,72),(56,76),(56,110),(56,114),(56,118),(56,244),(57,65),(57,69),(57,73),(57,77),(57,111),(57,115),(57,119),(57,244),(58,202),(58,203),(58,204),(58,205),(58,206),(58,207),(58,263),(59,196),(59,197),(59,260),(59,261),(59,263),(60,198),(60,199),(60,200),(60,201),(60,262),(60,263),(61,257),(61,258),(61,259),(61,263),(62,137),(62,208),(62,232),(62,284),(63,138),(63,209),(63,233),(63,284),(64,139),(64,210),(64,234),(64,284),(65,140),(65,211),(65,235),(65,284),(66,188),(66,192),(66,208),(66,212),(66,272),(67,189),(67,193),(67,209),(67,213),(67,272),(68,190),(68,194),(68,210),(68,214),(68,272),(69,191),(69,195),(69,211),(69,215),(69,272),(70,156),(70,172),(70,180),(70,188),(70,232),(70,273),(71,157),(71,173),(71,181),(71,189),(71,233),(71,273),(72,158),(72,174),(72,182),(72,190),(72,234),(72,273),(73,159),(73,175),(73,183),(73,191),(73,235),(73,273),(74,160),(74,176),(74,184),(74,192),(74,232),(74,274),(75,161),(75,177),(75,185),(75,193),(75,233),(75,274),(76,162),(76,178),(76,186),(76,194),(76,234),(76,274),(77,163),(77,179),(77,187),(77,195),(77,235),(77,274),(78,228),(78,229),(78,287),(79,230),(79,231),(79,287),(80,137),(80,138),(80,224),(80,285),(81,139),(81,140),(81,225),(81,285),(82,137),(82,139),(82,226),(82,286),(83,138),(83,140),(83,227),(83,286),(84,188),(84,189),(84,216),(84,228),(84,268),(85,190),(85,191),(85,217),(85,228),(85,269),(86,188),(86,190),(86,218),(86,229),(86,270),(87,189),(87,191),(87,219),(87,229),(87,271),(88,192),(88,193),(88,220),(88,230),(88,268),(89,194),(89,195),(89,221),(89,230),(89,269),(90,192),(90,194),(90,222),(90,231),(90,270),(91,193),(91,195),(91,223),(91,231),(91,271),(92,172),(92,173),(92,216),(92,224),(92,264),(93,174),(93,175),(93,217),(93,225),(93,264),(94,172),(94,174),(94,218),(94,226),(94,265),(95,173),(95,175),(95,219),(95,227),(95,265),(96,176),(96,177),(96,220),(96,224),(96,266),(97,178),(97,179),(97,221),(97,225),(97,266),(98,176),(98,178),(98,222),(98,226),(98,267),(99,177),(99,179),(99,223),(99,227),(99,267),(100,145),(100,156),(100,157),(100,264),(100,268),(101,146),(101,158),(101,159),(101,264),(101,269),(102,147),(102,156),(102,158),(102,265),(102,270),(103,148),(103,157),(103,159),(103,265),(103,271),(104,149),(104,160),(104,161),(104,266),(104,268),(105,150),(105,162),(105,163),(105,266),(105,269),(106,151),(106,160),(106,162),(106,267),(106,270),(107,152),(107,161),(107,163),(107,267),(107,271),(108,141),(108,180),(108,184),(108,212),(108,284),(109,142),(109,181),(109,185),(109,213),(109,284),(110,143),(110,182),(110,186),(110,214),(110,284),(111,144),(111,183),(111,187),(111,215),(111,284),(112,141),(112,156),(112,160),(112,208),(112,283),(113,142),(113,157),(113,161),(113,209),(113,283),(114,143),(114,158),(114,162),(114,210),(114,283),(115,144),(115,159),(115,163),(115,211),(115,283),(116,137),(116,172),(116,176),(116,212),(116,283),(117,138),(117,173),(117,177),(117,213),(117,283),(118,139),(118,174),(118,178),(118,214),(118,283),(119,140),(119,175),(119,179),(119,215),(119,283),(120,145),(120,180),(120,181),(120,216),(120,281),(121,146),(121,182),(121,183),(121,217),(121,281),(122,147),(122,180),(122,182),(122,218),(122,282),(123,148),(123,181),(123,183),(123,219),(123,282),(124,149),(124,184),(124,185),(124,220),(124,281),(125,150),(125,186),(125,187),(125,221),(125,281),(126,151),(126,184),(126,186),(126,222),(126,282),(127,152),(127,185),(127,187),(127,223),(127,282),(128,141),(128,142),(128,145),(128,149),(128,285),(129,143),(129,144),(129,146),(129,150),(129,285),(130,141),(130,143),(130,147),(130,151),(130,286),(131,142),(131,144),(131,148),(131,152),(131,286),(132,145),(132,146),(132,147),(132,148),(132,287),(133,149),(133,150),(133,151),(133,152),(133,287),(134,155),(134,169),(134,171),(134,244),(134,258),(134,261),(135,154),(135,168),(135,170),(135,244),(135,257),(135,260),(136,153),(136,164),(136,165),(136,166),(136,167),(136,259),(136,262),(137,245),(137,293),(138,246),(138,293),(139,247),(139,293),(140,248),(140,293),(141,236),(141,240),(141,293),(142,237),(142,241),(142,293),(143,238),(143,242),(143,293),(144,239),(144,243),(144,293),(145,236),(145,237),(145,291),(146,238),(146,239),(146,291),(147,236),(147,238),(147,292),(148,237),(148,239),(148,292),(149,240),(149,241),(149,291),(150,242),(150,243),(150,291),(151,240),(151,242),(151,292),(152,241),(152,243),(152,292),(153,224),(153,225),(153,226),(153,227),(153,287),(154,228),(154,230),(154,272),(154,285),(155,229),(155,231),(155,272),(155,286),(156,236),(156,277),(156,288),(157,237),(157,278),(157,288),(158,238),(158,279),(158,288),(159,239),(159,280),(159,288),(160,240),(160,277),(160,289),(161,241),(161,278),(161,289),(162,242),(162,279),(162,289),(163,243),(163,280),(163,289),(164,224),(164,232),(164,233),(164,268),(164,281),(165,225),(165,234),(165,235),(165,269),(165,281),(166,226),(166,232),(166,234),(166,270),(166,282),(167,227),(167,233),(167,235),(167,271),(167,282),(168,228),(168,264),(168,273),(168,281),(169,229),(169,265),(169,273),(169,282),(170,230),(170,266),(170,274),(170,281),(171,231),(171,267),(171,274),(171,282),(172,245),(172,249),(172,288),(173,246),(173,250),(173,288),(174,247),(174,251),(174,288),(175,248),(175,252),(175,288),(176,245),(176,253),(176,289),(177,246),(177,254),(177,289),(178,247),(178,255),(178,289),(179,248),(179,256),(179,289),(180,236),(180,249),(180,290),(181,237),(181,250),(181,290),(182,238),(182,251),(182,290),(183,239),(183,252),(183,290),(184,240),(184,253),(184,290),(185,241),(185,254),(185,290),(186,242),(186,255),(186,290),(187,243),(187,256),(187,290),(188,249),(188,275),(188,277),(189,250),(189,275),(189,278),(190,251),(190,275),(190,279),(191,252),(191,275),(191,280),(192,253),(192,276),(192,277),(193,254),(193,276),(193,278),(194,255),(194,276),(194,279),(195,256),(195,276),(195,280),(196,264),(196,265),(196,287),(197,266),(197,267),(197,287),(198,208),(198,209),(198,268),(198,285),(199,210),(199,211),(199,269),(199,285),(200,208),(200,210),(200,270),(200,286),(201,209),(201,211),(201,271),(201,286),(202,216),(202,217),(202,218),(202,219),(202,287),(203,220),(203,221),(203,222),(203,223),(203,287),(204,212),(204,213),(204,216),(204,220),(204,285),(205,214),(205,215),(205,217),(205,221),(205,285),(206,212),(206,214),(206,218),(206,222),(206,286),(207,213),(207,215),(207,219),(207,223),(207,286),(208,277),(208,293),(209,278),(209,293),(210,279),(210,293),(211,280),(211,293),(212,249),(212,253),(212,293),(213,250),(213,254),(213,293),(214,251),(214,255),(214,293),(215,252),(215,256),(215,293),(216,249),(216,250),(216,291),(217,251),(217,252),(217,291),(218,249),(218,251),(218,292),(219,250),(219,252),(219,292),(220,253),(220,254),(220,291),(221,255),(221,256),(221,291),(222,253),(222,255),(222,292),(223,254),(223,256),(223,292),(224,245),(224,246),(224,291),(225,247),(225,248),(225,291),(226,245),(226,247),(226,292),(227,246),(227,248),(227,292),(228,275),(228,291),(229,275),(229,292),(230,276),(230,291),(231,276),(231,292),(232,245),(232,277),(232,290),(233,246),(233,278),(233,290),(234,247),(234,279),(234,290),(235,248),(235,280),(235,290),(236,294),(237,294),(238,294),(239,294),(240,294),(241,294),(242,294),(243,294),(244,272),(244,273),(244,274),(244,283),(244,284),(245,294),(246,294),(247,294),(248,294),(249,294),(250,294),(251,294),(252,294),(253,294),(254,294),(255,294),(256,294),(257,281),(257,284),(257,285),(258,282),(258,284),(258,286),(259,281),(259,282),(259,287),(260,264),(260,266),(260,283),(260,285),(261,265),(261,267),(261,283),(261,286),(262,268),(262,269),(262,270),(262,271),(262,287),(263,285),(263,286),(263,287),(264,288),(264,291),(265,288),(265,292),(266,289),(266,291),(267,289),(267,292),(268,277),(268,278),(268,291),(269,279),(269,280),(269,291),(270,277),(270,279),(270,292),(271,278),(271,280),(271,292),(272,275),(272,276),(272,293),(273,275),(273,288),(273,290),(274,276),(274,289),(274,290),(275,294),(276,294),(277,294),(278,294),(279,294),(280,294),(281,290),(281,291),(282,290),(282,292),(283,288),(283,289),(283,293),(284,290),(284,293),(285,291),(285,293),(286,292),(286,293),(287,291),(287,292),(288,294),(289,294),(290,294),(291,294),(292,294),(293,294)],295)=>40 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(0,13),(1,14),(1,15),(1,16),(1,53),(1,54),(1,55),(1,56),(1,57),(1,58),(1,59),(1,60),(1,61),(2,19),(2,30),(2,31),(2,36),(2,37),(2,45),(2,46),(2,55),(2,140),(2,143),(3,18),(3,27),(3,29),(3,33),(3,35),(3,44),(3,46),(3,54),(3,139),(3,142),(4,17),(4,26),(4,28),(4,32),(4,34),(4,44),(4,45),(4,53),(4,138),(4,141),(5,22),(5,28),(5,29),(5,38),(5,39),(5,47),(5,48),(5,56),(5,135),(5,143),(6,21),(6,26),(6,30),(6,40),(6,42),(6,47),(6,49),(6,57),(6,136),(6,142),(7,20),(7,27),(7,31),(7,41),(7,43),(7,48),(7,49),(7,58),(7,137),(7,141),(8,25),(8,34),(8,35),(8,40),(8,41),(8,50),(8,51),(8,59),(8,135),(8,140),(9,24),(9,32),(9,36),(9,38),(9,43),(9,50),(9,52),(9,60),(9,136),(9,139),(10,23),(10,33),(10,37),(10,39),(10,42),(10,51),(10,52),(10,61),(10,137),(10,138),(11,16),(11,23),(11,24),(11,25),(11,62),(11,141),(11,142),(11,143),(12,15),(12,20),(12,21),(12,22),(12,62),(12,138),(12,139),(12,140),(13,14),(13,17),(13,18),(13,19),(13,62),(13,135),(13,136),(13,137),(14,75),(14,76),(14,77),(14,144),(14,184),(14,185),(14,186),(15,78),(15,79),(15,80),(15,144),(15,187),(15,188),(15,189),(16,81),(16,82),(16,83),(16,144),(16,190),(16,191),(16,192),(17,63),(17,64),(17,75),(17,193),(17,195),(17,259),(18,63),(18,65),(18,76),(18,194),(18,196),(18,260),(19,64),(19,65),(19,77),(19,197),(19,198),(19,261),(20,66),(20,68),(20,78),(20,202),(20,203),(20,259),(21,67),(21,68),(21,79),(21,201),(21,204),(21,260),(22,66),(22,67),(22,80),(22,199),(22,200),(22,261),(23,69),(23,71),(23,81),(23,208),(23,209),(23,259),(24,70),(24,71),(24,82),(24,207),(24,210),(24,260),(25,69),(25,70),(25,83),(25,205),(25,206),(25,261),(26,93),(26,112),(26,114),(26,129),(26,193),(26,201),(26,256),(27,94),(27,113),(27,115),(27,130),(27,194),(27,202),(27,256),(28,95),(28,111),(28,114),(28,131),(28,195),(28,199),(28,257),(29,96),(29,111),(29,115),(29,132),(29,196),(29,200),(29,258),(30,97),(30,112),(30,116),(30,133),(30,197),(30,204),(30,258),(31,98),(31,113),(31,116),(31,134),(31,198),(31,203),(31,257),(32,99),(32,118),(32,123),(32,131),(32,193),(32,207),(32,253),(33,100),(33,119),(33,124),(33,132),(33,194),(33,208),(33,253),(34,101),(34,117),(34,123),(34,129),(34,195),(34,205),(34,254),(35,102),(35,117),(35,124),(35,130),(35,196),(35,206),(35,255),(36,103),(36,118),(36,125),(36,134),(36,197),(36,210),(36,255),(37,104),(37,119),(37,125),(37,133),(37,198),(37,209),(37,254),(38,105),(38,121),(38,128),(38,131),(38,200),(38,210),(38,251),(39,106),(39,120),(39,128),(39,132),(39,199),(39,209),(39,250),(40,107),(40,122),(40,126),(40,129),(40,204),(40,206),(40,251),(41,108),(41,122),(41,127),(41,130),(41,203),(41,205),(41,250),(42,109),(42,120),(42,126),(42,133),(42,201),(42,208),(42,252),(43,110),(43,121),(43,127),(43,134),(43,202),(43,207),(43,252),(44,63),(44,72),(44,86),(44,111),(44,117),(44,253),(44,256),(45,64),(45,72),(45,84),(45,112),(45,118),(45,254),(45,257),(46,65),(46,72),(46,85),(46,113),(46,119),(46,255),(46,258),(47,67),(47,73),(47,87),(47,114),(47,120),(47,251),(47,258),(48,66),(48,73),(48,88),(48,115),(48,121),(48,250),(48,257),(49,68),(49,73),(49,89),(49,116),(49,122),(49,252),(49,256),(50,70),(50,74),(50,90),(50,123),(50,127),(50,251),(50,255),(51,69),(51,74),(51,91),(51,124),(51,126),(51,250),(51,254),(52,71),(52,74),(52,92),(52,125),(52,128),(52,252),(52,253),(53,75),(53,84),(53,86),(53,93),(53,95),(53,99),(53,101),(53,187),(53,190),(54,76),(54,85),(54,86),(54,94),(54,96),(54,100),(54,102),(54,188),(54,191),(55,77),(55,84),(55,85),(55,97),(55,98),(55,103),(55,104),(55,189),(55,192),(56,80),(56,87),(56,88),(56,95),(56,96),(56,105),(56,106),(56,184),(56,192),(57,79),(57,87),(57,89),(57,93),(57,97),(57,107),(57,109),(57,185),(57,191),(58,78),(58,88),(58,89),(58,94),(58,98),(58,108),(58,110),(58,186),(58,190),(59,83),(59,90),(59,91),(59,101),(59,102),(59,107),(59,108),(59,184),(59,189),(60,82),(60,90),(60,92),(60,99),(60,103),(60,105),(60,110),(60,185),(60,188),(61,81),(61,91),(61,92),(61,100),(61,104),(61,106),(61,109),(61,186),(61,187),(62,144),(62,259),(62,260),(62,261),(63,145),(63,159),(63,213),(63,300),(64,145),(64,157),(64,211),(64,298),(65,145),(65,158),(65,212),(65,299),(66,146),(66,160),(66,215),(66,298),(67,146),(67,161),(67,214),(67,299),(68,146),(68,162),(68,216),(68,300),(69,147),(69,163),(69,218),(69,298),(70,147),(70,164),(70,217),(70,299),(71,147),(71,165),(71,219),(71,300),(72,145),(72,148),(72,293),(72,294),(73,146),(73,149),(73,292),(73,294),(74,147),(74,150),(74,292),(74,293),(75,157),(75,159),(75,220),(75,222),(75,280),(76,158),(76,159),(76,221),(76,223),(76,281),(77,157),(77,158),(77,224),(77,225),(77,282),(78,160),(78,162),(78,229),(78,230),(78,280),(79,161),(79,162),(79,228),(79,231),(79,281),(80,160),(80,161),(80,226),(80,227),(80,282),(81,163),(81,165),(81,235),(81,236),(81,280),(82,164),(82,165),(82,234),(82,237),(82,281),(83,163),(83,164),(83,232),(83,233),(83,282),(84,148),(84,157),(84,167),(84,173),(84,275),(84,278),(85,148),(85,158),(85,168),(85,174),(85,276),(85,279),(86,148),(86,159),(86,166),(86,172),(86,274),(86,277),(87,149),(87,161),(87,169),(87,175),(87,272),(87,279),(88,149),(88,160),(88,170),(88,176),(88,271),(88,278),(89,149),(89,162),(89,171),(89,177),(89,273),(89,277),(90,150),(90,164),(90,178),(90,182),(90,272),(90,276),(91,150),(91,163),(91,179),(91,181),(91,271),(91,275),(92,150),(92,165),(92,180),(92,183),(92,273),(92,274),(93,151),(93,167),(93,169),(93,220),(93,228),(93,277),(94,152),(94,168),(94,170),(94,221),(94,229),(94,277),(95,153),(95,166),(95,169),(95,222),(95,226),(95,278),(96,154),(96,166),(96,170),(96,223),(96,227),(96,279),(97,155),(97,167),(97,171),(97,224),(97,231),(97,279),(98,156),(98,168),(98,171),(98,225),(98,230),(98,278),(99,153),(99,173),(99,178),(99,220),(99,234),(99,274),(100,154),(100,174),(100,179),(100,221),(100,235),(100,274),(101,151),(101,172),(101,178),(101,222),(101,232),(101,275),(102,152),(102,172),(102,179),(102,223),(102,233),(102,276),(103,156),(103,173),(103,180),(103,224),(103,237),(103,276),(104,155),(104,174),(104,180),(104,225),(104,236),(104,275),(105,153),(105,176),(105,183),(105,227),(105,237),(105,272),(106,154),(106,175),(106,183),(106,226),(106,236),(106,271),(107,151),(107,177),(107,181),(107,231),(107,233),(107,272),(108,152),(108,177),(108,182),(108,230),(108,232),(108,271),(109,155),(109,175),(109,181),(109,228),(109,235),(109,273),(110,156),(110,176),(110,182),(110,229),(110,234),(110,273),(111,166),(111,213),(111,267),(111,294),(112,167),(112,211),(112,265),(112,294),(113,168),(113,212),(113,266),(113,294),(114,169),(114,214),(114,262),(114,294),(115,170),(115,215),(115,263),(115,294),(116,171),(116,216),(116,264),(116,294),(117,172),(117,213),(117,268),(117,293),(118,173),(118,211),(118,269),(118,293),(119,174),(119,212),(119,270),(119,293),(120,175),(120,214),(120,270),(120,292),(121,176),(121,215),(121,269),(121,292),(122,177),(122,216),(122,268),(122,292),(123,178),(123,217),(123,262),(123,293),(124,179),(124,218),(124,263),(124,293),(125,180),(125,219),(125,264),(125,293),(126,181),(126,218),(126,265),(126,292),(127,182),(127,217),(127,266),(127,292),(128,183),(128,219),(128,267),(128,292),(129,151),(129,262),(129,265),(129,268),(130,152),(130,263),(130,266),(130,268),(131,153),(131,262),(131,267),(131,269),(132,154),(132,263),(132,267),(132,270),(133,155),(133,264),(133,265),(133,270),(134,156),(134,264),(134,266),(134,269),(135,184),(135,195),(135,196),(135,250),(135,251),(135,261),(136,185),(136,193),(136,197),(136,251),(136,252),(136,260),(137,186),(137,194),(137,198),(137,250),(137,252),(137,259),(138,187),(138,199),(138,201),(138,253),(138,254),(138,259),(139,188),(139,200),(139,202),(139,253),(139,255),(139,260),(140,189),(140,203),(140,204),(140,254),(140,255),(140,261),(141,190),(141,205),(141,207),(141,256),(141,257),(141,259),(142,191),(142,206),(142,208),(142,256),(142,258),(142,260),(143,192),(143,209),(143,210),(143,257),(143,258),(143,261),(144,280),(144,281),(144,282),(145,238),(145,304),(146,239),(146,304),(147,240),(147,304),(148,238),(148,296),(148,297),(149,239),(149,295),(149,297),(150,240),(150,295),(150,296),(151,283),(151,287),(151,289),(152,284),(152,288),(152,289),(153,283),(153,286),(153,290),(154,284),(154,286),(154,291),(155,285),(155,287),(155,291),(156,285),(156,288),(156,290),(157,238),(157,241),(157,301),(158,238),(158,242),(158,302),(159,238),(159,243),(159,303),(160,239),(160,245),(160,301),(161,239),(161,244),(161,302),(162,239),(162,246),(162,303),(163,240),(163,248),(163,301),(164,240),(164,247),(164,302),(165,240),(165,249),(165,303),(166,243),(166,286),(166,297),(167,241),(167,287),(167,297),(168,242),(168,288),(168,297),(169,244),(169,283),(169,297),(170,245),(170,284),(170,297),(171,246),(171,285),(171,297),(172,243),(172,289),(172,296),(173,241),(173,290),(173,296),(174,242),(174,291),(174,296),(175,244),(175,291),(175,295),(176,245),(176,290),(176,295),(177,246),(177,289),(177,295),(178,247),(178,283),(178,296),(179,248),(179,284),(179,296),(180,249),(180,285),(180,296),(181,248),(181,287),(181,295),(182,247),(182,288),(182,295),(183,249),(183,286),(183,295),(184,222),(184,223),(184,271),(184,272),(184,282),(185,220),(185,224),(185,272),(185,273),(185,281),(186,221),(186,225),(186,271),(186,273),(186,280),(187,226),(187,228),(187,274),(187,275),(187,280),(188,227),(188,229),(188,274),(188,276),(188,281),(189,230),(189,231),(189,275),(189,276),(189,282),(190,232),(190,234),(190,277),(190,278),(190,280),(191,233),(191,235),(191,277),(191,279),(191,281),(192,236),(192,237),(192,278),(192,279),(192,282),(193,211),(193,220),(193,262),(193,300),(194,212),(194,221),(194,263),(194,300),(195,213),(195,222),(195,262),(195,298),(196,213),(196,223),(196,263),(196,299),(197,211),(197,224),(197,264),(197,299),(198,212),(198,225),(198,264),(198,298),(199,214),(199,226),(199,267),(199,298),(200,215),(200,227),(200,267),(200,299),(201,214),(201,228),(201,265),(201,300),(202,215),(202,229),(202,266),(202,300),(203,216),(203,230),(203,266),(203,298),(204,216),(204,231),(204,265),(204,299),(205,217),(205,232),(205,268),(205,298),(206,218),(206,233),(206,268),(206,299),(207,217),(207,234),(207,269),(207,300),(208,218),(208,235),(208,270),(208,300),(209,219),(209,236),(209,270),(209,298),(210,219),(210,237),(210,269),(210,299),(211,241),(211,304),(212,242),(212,304),(213,243),(213,304),(214,244),(214,304),(215,245),(215,304),(216,246),(216,304),(217,247),(217,304),(218,248),(218,304),(219,249),(219,304),(220,241),(220,283),(220,303),(221,242),(221,284),(221,303),(222,243),(222,283),(222,301),(223,243),(223,284),(223,302),(224,241),(224,285),(224,302),(225,242),(225,285),(225,301),(226,244),(226,286),(226,301),(227,245),(227,286),(227,302),(228,244),(228,287),(228,303),(229,245),(229,288),(229,303),(230,246),(230,288),(230,301),(231,246),(231,287),(231,302),(232,247),(232,289),(232,301),(233,248),(233,289),(233,302),(234,247),(234,290),(234,303),(235,248),(235,291),(235,303),(236,249),(236,291),(236,301),(237,249),(237,290),(237,302),(238,305),(239,305),(240,305),(241,305),(242,305),(243,305),(244,305),(245,305),(246,305),(247,305),(248,305),(249,305),(250,263),(250,271),(250,292),(250,298),(251,262),(251,272),(251,292),(251,299),(252,264),(252,273),(252,292),(252,300),(253,267),(253,274),(253,293),(253,300),(254,265),(254,275),(254,293),(254,298),(255,266),(255,276),(255,293),(255,299),(256,268),(256,277),(256,294),(256,300),(257,269),(257,278),(257,294),(257,298),(258,270),(258,279),(258,294),(258,299),(259,280),(259,298),(259,300),(260,281),(260,299),(260,300),(261,282),(261,298),(261,299),(262,283),(262,304),(263,284),(263,304),(264,285),(264,304),(265,287),(265,304),(266,288),(266,304),(267,286),(267,304),(268,289),(268,304),(269,290),(269,304),(270,291),(270,304),(271,284),(271,295),(271,301),(272,283),(272,295),(272,302),(273,285),(273,295),(273,303),(274,286),(274,296),(274,303),(275,287),(275,296),(275,301),(276,288),(276,296),(276,302),(277,289),(277,297),(277,303),(278,290),(278,297),(278,301),(279,291),(279,297),(279,302),(280,301),(280,303),(281,302),(281,303),(282,301),(282,302),(283,305),(284,305),(285,305),(286,305),(287,305),(288,305),(289,305),(290,305),(291,305),(292,295),(292,304),(293,296),(293,304),(294,297),(294,304),(295,305),(296,305),(297,305),(298,301),(298,304),(299,302),(299,304),(300,303),(300,304),(301,305),(302,305),(303,305),(304,305)],306)=>60 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(1,21),(1,27),(1,33),(1,39),(1,47),(1,51),(1,56),(1,57),(1,144),(2,14),(2,20),(2,26),(2,32),(2,38),(2,46),(2,50),(2,54),(2,55),(2,144),(3,17),(3,23),(3,29),(3,35),(3,41),(3,49),(3,53),(3,55),(3,57),(3,143),(4,16),(4,22),(4,28),(4,34),(4,40),(4,48),(4,52),(4,54),(4,56),(4,143),(5,19),(5,25),(5,31),(5,37),(5,43),(5,50),(5,51),(5,52),(5,53),(5,142),(6,18),(6,24),(6,30),(6,36),(6,42),(6,46),(6,47),(6,48),(6,49),(6,142),(7,13),(7,14),(7,15),(7,16),(7,17),(7,18),(7,19),(7,58),(7,59),(8,26),(8,27),(8,28),(8,29),(8,30),(8,31),(8,45),(8,59),(8,61),(9,20),(9,21),(9,22),(9,23),(9,24),(9,25),(9,45),(9,58),(9,60),(10,32),(10,33),(10,34),(10,35),(10,36),(10,37),(10,44),(10,58),(10,61),(11,38),(11,39),(11,40),(11,41),(11,42),(11,43),(11,44),(11,59),(11,60),(12,13),(12,60),(12,61),(12,142),(12,143),(12,144),(13,169),(13,170),(13,171),(13,289),(14,62),(14,66),(14,70),(14,71),(14,169),(14,212),(14,218),(15,63),(15,67),(15,72),(15,73),(15,169),(15,213),(15,219),(16,64),(16,68),(16,70),(16,72),(16,170),(16,214),(16,220),(17,65),(17,69),(17,71),(17,73),(17,170),(17,215),(17,221),(18,62),(18,63),(18,64),(18,65),(18,171),(18,216),(18,222),(19,66),(19,67),(19,68),(19,69),(19,171),(19,217),(19,223),(20,82),(20,86),(20,90),(20,91),(20,130),(20,212),(20,283),(21,83),(21,87),(21,92),(21,93),(21,131),(21,213),(21,283),(22,84),(22,88),(22,90),(22,92),(22,132),(22,214),(22,284),(23,85),(23,89),(23,91),(23,93),(23,133),(23,215),(23,284),(24,82),(24,83),(24,84),(24,85),(24,134),(24,216),(24,285),(25,86),(25,87),(25,88),(25,89),(25,135),(25,217),(25,285),(26,94),(26,98),(26,102),(26,103),(26,130),(26,218),(26,286),(27,95),(27,99),(27,104),(27,105),(27,131),(27,219),(27,286),(28,96),(28,100),(28,102),(28,104),(28,132),(28,220),(28,287),(29,97),(29,101),(29,103),(29,105),(29,133),(29,221),(29,287),(30,94),(30,95),(30,96),(30,97),(30,134),(30,222),(30,288),(31,98),(31,99),(31,100),(31,101),(31,135),(31,223),(31,288),(32,106),(32,110),(32,114),(32,115),(32,136),(32,212),(32,286),(33,107),(33,111),(33,116),(33,117),(33,137),(33,213),(33,286),(34,108),(34,112),(34,114),(34,116),(34,138),(34,214),(34,287),(35,109),(35,113),(35,115),(35,117),(35,139),(35,215),(35,287),(36,106),(36,107),(36,108),(36,109),(36,140),(36,216),(36,288),(37,110),(37,111),(37,112),(37,113),(37,141),(37,217),(37,288),(38,118),(38,122),(38,126),(38,127),(38,136),(38,218),(38,283),(39,119),(39,123),(39,128),(39,129),(39,137),(39,219),(39,283),(40,120),(40,124),(40,126),(40,128),(40,138),(40,220),(40,284),(41,121),(41,125),(41,127),(41,129),(41,139),(41,221),(41,284),(42,118),(42,119),(42,120),(42,121),(42,140),(42,222),(42,285),(43,122),(43,123),(43,124),(43,125),(43,141),(43,223),(43,285),(44,136),(44,137),(44,138),(44,139),(44,140),(44,141),(44,289),(45,130),(45,131),(45,132),(45,133),(45,134),(45,135),(45,289),(46,62),(46,74),(46,75),(46,82),(46,94),(46,106),(46,118),(46,265),(47,63),(47,76),(47,77),(47,83),(47,95),(47,107),(47,119),(47,265),(48,64),(48,74),(48,76),(48,84),(48,96),(48,108),(48,120),(48,266),(49,65),(49,75),(49,77),(49,85),(49,97),(49,109),(49,121),(49,266),(50,66),(50,78),(50,79),(50,86),(50,98),(50,110),(50,122),(50,265),(51,67),(51,80),(51,81),(51,87),(51,99),(51,111),(51,123),(51,265),(52,68),(52,78),(52,80),(52,88),(52,100),(52,112),(52,124),(52,266),(53,69),(53,79),(53,81),(53,89),(53,101),(53,113),(53,125),(53,266),(54,70),(54,74),(54,78),(54,90),(54,102),(54,114),(54,126),(54,264),(55,71),(55,75),(55,79),(55,91),(55,103),(55,115),(55,127),(55,264),(56,72),(56,76),(56,80),(56,92),(56,104),(56,116),(56,128),(56,264),(57,73),(57,77),(57,81),(57,93),(57,105),(57,117),(57,129),(57,264),(58,212),(58,213),(58,214),(58,215),(58,216),(58,217),(58,289),(59,218),(59,219),(59,220),(59,221),(59,222),(59,223),(59,289),(60,283),(60,284),(60,285),(60,289),(61,286),(61,287),(61,288),(61,289),(62,204),(62,205),(62,224),(62,236),(62,291),(63,206),(63,207),(63,225),(63,237),(63,291),(64,204),(64,206),(64,226),(64,238),(64,292),(65,205),(65,207),(65,227),(65,239),(65,292),(66,208),(66,209),(66,228),(66,240),(66,291),(67,210),(67,211),(67,229),(67,241),(67,291),(68,208),(68,210),(68,230),(68,242),(68,292),(69,209),(69,211),(69,231),(69,243),(69,292),(70,204),(70,208),(70,232),(70,244),(70,290),(71,205),(71,209),(71,233),(71,245),(71,290),(72,206),(72,210),(72,234),(72,246),(72,290),(73,207),(73,211),(73,235),(73,247),(73,290),(74,172),(74,180),(74,188),(74,196),(74,204),(74,299),(75,173),(75,181),(75,189),(75,197),(75,205),(75,299),(76,174),(76,182),(76,190),(76,198),(76,206),(76,299),(77,175),(77,183),(77,191),(77,199),(77,207),(77,299),(78,176),(78,184),(78,192),(78,200),(78,208),(78,299),(79,177),(79,185),(79,193),(79,201),(79,209),(79,299),(80,178),(80,186),(80,194),(80,202),(80,210),(80,299),(81,179),(81,187),(81,195),(81,203),(81,211),(81,299),(82,145),(82,172),(82,173),(82,224),(82,293),(83,146),(83,174),(83,175),(83,225),(83,293),(84,147),(84,172),(84,174),(84,226),(84,294),(85,148),(85,173),(85,175),(85,227),(85,294),(86,149),(86,176),(86,177),(86,228),(86,293),(87,150),(87,178),(87,179),(87,229),(87,293),(88,151),(88,176),(88,178),(88,230),(88,294),(89,152),(89,177),(89,179),(89,231),(89,294),(90,153),(90,172),(90,176),(90,232),(90,295),(91,154),(91,173),(91,177),(91,233),(91,295),(92,155),(92,174),(92,178),(92,234),(92,295),(93,156),(93,175),(93,179),(93,235),(93,295),(94,145),(94,180),(94,181),(94,236),(94,296),(95,146),(95,182),(95,183),(95,237),(95,296),(96,147),(96,180),(96,182),(96,238),(96,297),(97,148),(97,181),(97,183),(97,239),(97,297),(98,149),(98,184),(98,185),(98,240),(98,296),(99,150),(99,186),(99,187),(99,241),(99,296),(100,151),(100,184),(100,186),(100,242),(100,297),(101,152),(101,185),(101,187),(101,243),(101,297),(102,153),(102,180),(102,184),(102,244),(102,298),(103,154),(103,181),(103,185),(103,245),(103,298),(104,155),(104,182),(104,186),(104,246),(104,298),(105,156),(105,183),(105,187),(105,247),(105,298),(106,157),(106,188),(106,189),(106,224),(106,296),(107,158),(107,190),(107,191),(107,225),(107,296),(108,159),(108,188),(108,190),(108,226),(108,297),(109,160),(109,189),(109,191),(109,227),(109,297),(110,161),(110,192),(110,193),(110,228),(110,296),(111,162),(111,194),(111,195),(111,229),(111,296),(112,163),(112,192),(112,194),(112,230),(112,297),(113,164),(113,193),(113,195),(113,231),(113,297),(114,165),(114,188),(114,192),(114,232),(114,298),(115,166),(115,189),(115,193),(115,233),(115,298),(116,167),(116,190),(116,194),(116,234),(116,298),(117,168),(117,191),(117,195),(117,235),(117,298),(118,157),(118,196),(118,197),(118,236),(118,293),(119,158),(119,198),(119,199),(119,237),(119,293),(120,159),(120,196),(120,198),(120,238),(120,294),(121,160),(121,197),(121,199),(121,239),(121,294),(122,161),(122,200),(122,201),(122,240),(122,293),(123,162),(123,202),(123,203),(123,241),(123,293),(124,163),(124,200),(124,202),(124,242),(124,294),(125,164),(125,201),(125,203),(125,243),(125,294),(126,165),(126,196),(126,200),(126,244),(126,295),(127,166),(127,197),(127,201),(127,245),(127,295),(128,167),(128,198),(128,202),(128,246),(128,295),(129,168),(129,199),(129,203),(129,247),(129,295),(130,145),(130,149),(130,153),(130,154),(130,300),(131,146),(131,150),(131,155),(131,156),(131,300),(132,147),(132,151),(132,153),(132,155),(132,301),(133,148),(133,152),(133,154),(133,156),(133,301),(134,145),(134,146),(134,147),(134,148),(134,302),(135,149),(135,150),(135,151),(135,152),(135,302),(136,157),(136,161),(136,165),(136,166),(136,300),(137,158),(137,162),(137,167),(137,168),(137,300),(138,159),(138,163),(138,165),(138,167),(138,301),(139,160),(139,164),(139,166),(139,168),(139,301),(140,157),(140,158),(140,159),(140,160),(140,302),(141,161),(141,162),(141,163),(141,164),(141,302),(142,171),(142,265),(142,266),(142,285),(142,288),(143,170),(143,264),(143,266),(143,284),(143,287),(144,169),(144,264),(144,265),(144,283),(144,286),(145,248),(145,249),(145,306),(146,250),(146,251),(146,306),(147,248),(147,250),(147,307),(148,249),(148,251),(148,307),(149,252),(149,253),(149,306),(150,254),(150,255),(150,306),(151,252),(151,254),(151,307),(152,253),(152,255),(152,307),(153,248),(153,252),(153,308),(154,249),(154,253),(154,308),(155,250),(155,254),(155,308),(156,251),(156,255),(156,308),(157,256),(157,257),(157,306),(158,258),(158,259),(158,306),(159,256),(159,258),(159,307),(160,257),(160,259),(160,307),(161,260),(161,261),(161,306),(162,262),(162,263),(162,306),(163,260),(163,262),(163,307),(164,261),(164,263),(164,307),(165,256),(165,260),(165,308),(166,257),(166,261),(166,308),(167,258),(167,262),(167,308),(168,259),(168,263),(168,308),(169,290),(169,291),(169,300),(170,290),(170,292),(170,301),(171,291),(171,292),(171,302),(172,248),(172,267),(172,304),(173,249),(173,268),(173,304),(174,250),(174,269),(174,304),(175,251),(175,270),(175,304),(176,252),(176,271),(176,304),(177,253),(177,272),(177,304),(178,254),(178,273),(178,304),(179,255),(179,274),(179,304),(180,248),(180,275),(180,305),(181,249),(181,276),(181,305),(182,250),(182,277),(182,305),(183,251),(183,278),(183,305),(184,252),(184,279),(184,305),(185,253),(185,280),(185,305),(186,254),(186,281),(186,305),(187,255),(187,282),(187,305),(188,256),(188,267),(188,305),(189,257),(189,268),(189,305),(190,258),(190,269),(190,305),(191,259),(191,270),(191,305),(192,260),(192,271),(192,305),(193,261),(193,272),(193,305),(194,262),(194,273),(194,305),(195,263),(195,274),(195,305),(196,256),(196,275),(196,304),(197,257),(197,276),(197,304),(198,258),(198,277),(198,304),(199,259),(199,278),(199,304),(200,260),(200,279),(200,304),(201,261),(201,280),(201,304),(202,262),(202,281),(202,304),(203,263),(203,282),(203,304),(204,267),(204,275),(204,303),(205,268),(205,276),(205,303),(206,269),(206,277),(206,303),(207,270),(207,278),(207,303),(208,271),(208,279),(208,303),(209,272),(209,280),(209,303),(210,273),(210,281),(210,303),(211,274),(211,282),(211,303),(212,224),(212,228),(212,232),(212,233),(212,300),(213,225),(213,229),(213,234),(213,235),(213,300),(214,226),(214,230),(214,232),(214,234),(214,301),(215,227),(215,231),(215,233),(215,235),(215,301),(216,224),(216,225),(216,226),(216,227),(216,302),(217,228),(217,229),(217,230),(217,231),(217,302),(218,236),(218,240),(218,244),(218,245),(218,300),(219,237),(219,241),(219,246),(219,247),(219,300),(220,238),(220,242),(220,244),(220,246),(220,301),(221,239),(221,243),(221,245),(221,247),(221,301),(222,236),(222,237),(222,238),(222,239),(222,302),(223,240),(223,241),(223,242),(223,243),(223,302),(224,267),(224,268),(224,306),(225,269),(225,270),(225,306),(226,267),(226,269),(226,307),(227,268),(227,270),(227,307),(228,271),(228,272),(228,306),(229,273),(229,274),(229,306),(230,271),(230,273),(230,307),(231,272),(231,274),(231,307),(232,267),(232,271),(232,308),(233,268),(233,272),(233,308),(234,269),(234,273),(234,308),(235,270),(235,274),(235,308),(236,275),(236,276),(236,306),(237,277),(237,278),(237,306),(238,275),(238,277),(238,307),(239,276),(239,278),(239,307),(240,279),(240,280),(240,306),(241,281),(241,282),(241,306),(242,279),(242,281),(242,307),(243,280),(243,282),(243,307),(244,275),(244,279),(244,308),(245,276),(245,280),(245,308),(246,277),(246,281),(246,308),(247,278),(247,282),(247,308),(248,309),(249,309),(250,309),(251,309),(252,309),(253,309),(254,309),(255,309),(256,309),(257,309),(258,309),(259,309),(260,309),(261,309),(262,309),(263,309),(264,290),(264,295),(264,298),(264,299),(265,291),(265,293),(265,296),(265,299),(266,292),(266,294),(266,297),(266,299),(267,309),(268,309),(269,309),(270,309),(271,309),(272,309),(273,309),(274,309),(275,309),(276,309),(277,309),(278,309),(279,309),(280,309),(281,309),(282,309),(283,293),(283,295),(283,300),(284,294),(284,295),(284,301),(285,293),(285,294),(285,302),(286,296),(286,298),(286,300),(287,297),(287,298),(287,301),(288,296),(288,297),(288,302),(289,300),(289,301),(289,302),(290,303),(290,308),(291,303),(291,306),(292,303),(292,307),(293,304),(293,306),(294,304),(294,307),(295,304),(295,308),(296,305),(296,306),(297,305),(297,307),(298,305),(298,308),(299,303),(299,304),(299,305),(300,306),(300,308),(301,307),(301,308),(302,306),(302,307),(303,309),(304,309),(305,309),(306,309),(307,309),(308,309)],310)=>46 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,19),(1,24),(1,34),(1,38),(1,39),(1,43),(1,44),(1,55),(1,56),(1,144),(2,18),(2,23),(2,33),(2,37),(2,39),(2,41),(2,42),(2,53),(2,54),(2,143),(3,21),(3,23),(3,35),(3,38),(3,40),(3,45),(3,46),(3,57),(3,58),(3,141),(4,20),(4,24),(4,36),(4,37),(4,40),(4,47),(4,48),(4,59),(4,60),(4,142),(5,17),(5,28),(5,30),(5,42),(5,48),(5,51),(5,52),(5,56),(5,58),(5,145),(6,16),(6,27),(6,29),(6,41),(6,47),(6,49),(6,50),(6,55),(6,57),(6,145),(7,15),(7,26),(7,32),(7,44),(7,46),(7,50),(7,52),(7,54),(7,60),(7,146),(8,14),(8,25),(8,31),(8,43),(8,45),(8,49),(8,51),(8,53),(8,59),(8,146),(9,22),(9,29),(9,30),(9,31),(9,32),(9,35),(9,36),(9,143),(9,144),(10,22),(10,25),(10,26),(10,27),(10,28),(10,33),(10,34),(10,141),(10,142),(11,13),(11,14),(11,15),(11,18),(11,20),(11,141),(11,144),(11,145),(12,13),(12,16),(12,17),(12,19),(12,21),(12,142),(12,143),(12,146),(13,167),(13,168),(13,252),(13,253),(14,61),(14,65),(14,167),(14,205),(14,217),(14,223),(15,62),(15,66),(15,167),(15,206),(15,218),(15,224),(16,63),(16,67),(16,168),(16,207),(16,219),(16,221),(17,64),(17,68),(17,168),(17,208),(17,220),(17,222),(18,61),(18,62),(18,81),(18,209),(18,213),(18,253),(19,63),(19,64),(19,82),(19,210),(19,214),(19,253),(20,65),(20,66),(20,81),(20,211),(20,216),(20,252),(21,67),(21,68),(21,82),(21,212),(21,215),(21,252),(22,111),(22,112),(22,113),(22,114),(22,259),(22,260),(23,69),(23,70),(23,73),(23,74),(23,213),(23,215),(23,251),(24,71),(24,72),(24,75),(24,76),(24,214),(24,216),(24,251),(25,111),(25,115),(25,125),(25,131),(25,133),(25,217),(25,262),(26,112),(26,116),(26,126),(26,132),(26,134),(26,218),(26,262),(27,113),(27,117),(27,123),(27,131),(27,132),(27,219),(27,261),(28,114),(28,118),(28,124),(28,133),(28,134),(28,220),(28,261),(29,113),(29,119),(29,129),(29,135),(29,136),(29,221),(29,264),(30,114),(30,120),(30,130),(30,137),(30,138),(30,222),(30,264),(31,111),(31,121),(31,127),(31,135),(31,137),(31,223),(31,263),(32,112),(32,122),(32,128),(32,136),(32,138),(32,224),(32,263),(33,115),(33,116),(33,123),(33,124),(33,139),(33,213),(33,259),(34,117),(34,118),(34,125),(34,126),(34,139),(34,214),(34,260),(35,119),(35,120),(35,127),(35,128),(35,140),(35,215),(35,260),(36,121),(36,122),(36,129),(36,130),(36,140),(36,216),(36,259),(37,77),(37,78),(37,81),(37,83),(37,84),(37,251),(37,259),(38,79),(38,80),(38,82),(38,85),(38,86),(38,251),(38,260),(39,87),(39,88),(39,89),(39,90),(39,139),(39,251),(39,253),(40,91),(40,92),(40,93),(40,94),(40,140),(40,251),(40,252),(41,73),(41,77),(41,87),(41,95),(41,96),(41,123),(41,209),(41,221),(42,74),(42,78),(42,88),(42,97),(42,98),(42,124),(42,209),(42,222),(43,75),(43,79),(43,89),(43,99),(43,101),(43,125),(43,210),(43,223),(44,76),(44,80),(44,90),(44,100),(44,102),(44,126),(44,210),(44,224),(45,69),(45,79),(45,91),(45,103),(45,105),(45,127),(45,212),(45,217),(46,70),(46,80),(46,92),(46,104),(46,106),(46,128),(46,212),(46,218),(47,71),(47,77),(47,93),(47,107),(47,108),(47,129),(47,211),(47,219),(48,72),(48,78),(48,94),(48,109),(48,110),(48,130),(48,211),(48,220),(49,95),(49,99),(49,103),(49,107),(49,131),(49,135),(49,205),(49,207),(50,96),(50,100),(50,104),(50,108),(50,132),(50,136),(50,206),(50,207),(51,97),(51,101),(51,105),(51,109),(51,133),(51,137),(51,205),(51,208),(52,98),(52,102),(52,106),(52,110),(52,134),(52,138),(52,206),(52,208),(53,61),(53,69),(53,83),(53,89),(53,95),(53,97),(53,115),(53,263),(54,62),(54,70),(54,84),(54,90),(54,96),(54,98),(54,116),(54,263),(55,63),(55,71),(55,85),(55,87),(55,99),(55,100),(55,117),(55,264),(56,64),(56,72),(56,86),(56,88),(56,101),(56,102),(56,118),(56,264),(57,67),(57,73),(57,85),(57,93),(57,103),(57,104),(57,119),(57,261),(58,68),(58,74),(58,86),(58,94),(58,105),(58,106),(58,120),(58,261),(59,65),(59,75),(59,83),(59,91),(59,107),(59,109),(59,121),(59,262),(60,66),(60,76),(60,84),(60,92),(60,108),(60,110),(60,122),(60,262),(61,193),(61,225),(61,233),(61,299),(62,194),(62,226),(62,234),(62,299),(63,195),(63,227),(63,235),(63,300),(64,196),(64,228),(64,236),(64,300),(65,193),(65,231),(65,237),(65,297),(66,194),(66,232),(66,238),(66,297),(67,195),(67,229),(67,239),(67,298),(68,196),(68,230),(68,240),(68,298),(69,185),(69,187),(69,225),(69,265),(69,283),(70,186),(70,188),(70,226),(70,266),(70,283),(71,189),(71,190),(71,227),(71,267),(71,284),(72,191),(72,192),(72,228),(72,268),(72,284),(73,185),(73,186),(73,229),(73,267),(73,281),(74,187),(74,188),(74,230),(74,268),(74,281),(75,189),(75,191),(75,231),(75,265),(75,282),(76,190),(76,192),(76,232),(76,266),(76,282),(77,197),(77,198),(77,241),(77,267),(77,269),(78,199),(78,200),(78,241),(78,268),(78,270),(79,201),(79,203),(79,242),(79,265),(79,271),(80,202),(80,204),(80,242),(80,266),(80,272),(81,193),(81,194),(81,241),(81,307),(82,195),(82,196),(82,242),(82,307),(83,193),(83,197),(83,199),(83,265),(83,301),(84,194),(84,198),(84,200),(84,266),(84,301),(85,195),(85,201),(85,202),(85,267),(85,302),(86,196),(86,203),(86,204),(86,268),(86,302),(87,149),(87,155),(87,156),(87,267),(87,300),(88,150),(88,157),(88,158),(88,268),(88,300),(89,147),(89,155),(89,157),(89,265),(89,299),(90,148),(90,156),(90,158),(90,266),(90,299),(91,151),(91,159),(91,161),(91,265),(91,297),(92,152),(92,160),(92,162),(92,266),(92,297),(93,153),(93,159),(93,160),(93,267),(93,298),(94,154),(94,161),(94,162),(94,268),(94,298),(95,155),(95,169),(95,185),(95,197),(95,233),(95,277),(96,156),(96,170),(96,186),(96,198),(96,234),(96,277),(97,157),(97,171),(97,187),(97,199),(97,233),(97,278),(98,158),(98,172),(98,188),(98,200),(98,234),(98,278),(99,155),(99,173),(99,189),(99,201),(99,235),(99,279),(100,156),(100,174),(100,190),(100,202),(100,235),(100,280),(101,157),(101,175),(101,191),(101,203),(101,236),(101,279),(102,158),(102,176),(102,192),(102,204),(102,236),(102,280),(103,159),(103,177),(103,185),(103,201),(103,239),(103,273),(104,160),(104,178),(104,186),(104,202),(104,239),(104,274),(105,161),(105,179),(105,187),(105,203),(105,240),(105,273),(106,162),(106,180),(106,188),(106,204),(106,240),(106,274),(107,159),(107,181),(107,189),(107,197),(107,237),(107,275),(108,160),(108,182),(108,190),(108,198),(108,238),(108,275),(109,161),(109,183),(109,191),(109,199),(109,237),(109,276),(110,162),(110,184),(110,192),(110,200),(110,238),(110,276),(111,163),(111,165),(111,271),(111,301),(112,164),(112,166),(112,272),(112,301),(113,163),(113,164),(113,269),(113,302),(114,165),(114,166),(114,270),(114,302),(115,147),(115,169),(115,171),(115,225),(115,301),(116,148),(116,170),(116,172),(116,226),(116,301),(117,149),(117,173),(117,174),(117,227),(117,302),(118,150),(118,175),(118,176),(118,228),(118,302),(119,153),(119,177),(119,178),(119,229),(119,302),(120,154),(120,179),(120,180),(120,230),(120,302),(121,151),(121,181),(121,183),(121,231),(121,301),(122,152),(122,182),(122,184),(122,232),(122,301),(123,149),(123,169),(123,170),(123,269),(123,281),(124,150),(124,171),(124,172),(124,270),(124,281),(125,147),(125,173),(125,175),(125,271),(125,282),(126,148),(126,174),(126,176),(126,272),(126,282),(127,151),(127,177),(127,179),(127,271),(127,283),(128,152),(128,178),(128,180),(128,272),(128,283),(129,153),(129,181),(129,182),(129,269),(129,284),(130,154),(130,183),(130,184),(130,270),(130,284),(131,163),(131,169),(131,173),(131,273),(131,275),(132,164),(132,170),(132,174),(132,274),(132,275),(133,165),(133,171),(133,175),(133,273),(133,276),(134,166),(134,172),(134,176),(134,274),(134,276),(135,163),(135,177),(135,181),(135,277),(135,279),(136,164),(136,178),(136,182),(136,277),(136,280),(137,165),(137,179),(137,183),(137,278),(137,279),(138,166),(138,180),(138,184),(138,278),(138,280),(139,147),(139,148),(139,149),(139,150),(139,307),(140,151),(140,152),(140,153),(140,154),(140,307),(141,213),(141,217),(141,218),(141,252),(141,260),(141,261),(142,214),(142,219),(142,220),(142,252),(142,259),(142,262),(143,215),(143,221),(143,222),(143,253),(143,259),(143,263),(144,216),(144,223),(144,224),(144,253),(144,260),(144,264),(145,168),(145,205),(145,206),(145,209),(145,211),(145,261),(145,264),(146,167),(146,207),(146,208),(146,210),(146,212),(146,262),(146,263),(147,243),(147,245),(147,310),(148,244),(148,246),(148,310),(149,243),(149,244),(149,311),(150,245),(150,246),(150,311),(151,247),(151,249),(151,310),(152,248),(152,250),(152,310),(153,247),(153,248),(153,311),(154,249),(154,250),(154,311),(155,243),(155,293),(155,309),(156,244),(156,294),(156,309),(157,245),(157,295),(157,309),(158,246),(158,296),(158,309),(159,247),(159,293),(159,308),(160,248),(160,294),(160,308),(161,249),(161,295),(161,308),(162,250),(162,296),(162,308),(163,303),(163,305),(164,303),(164,306),(165,304),(165,305),(166,304),(166,306),(167,258),(167,297),(167,299),(168,258),(168,298),(168,300),(169,243),(169,285),(169,303),(170,244),(170,286),(170,303),(171,245),(171,285),(171,304),(172,246),(172,286),(172,304),(173,243),(173,287),(173,305),(174,244),(174,287),(174,306),(175,245),(175,288),(175,305),(176,246),(176,288),(176,306),(177,247),(177,289),(177,305),(178,248),(178,289),(178,306),(179,249),(179,290),(179,305),(180,250),(180,290),(180,306),(181,247),(181,291),(181,303),(182,248),(182,292),(182,303),(183,249),(183,291),(183,304),(184,250),(184,292),(184,304),(185,285),(185,289),(185,293),(186,286),(186,289),(186,294),(187,285),(187,290),(187,295),(188,286),(188,290),(188,296),(189,287),(189,291),(189,293),(190,287),(190,292),(190,294),(191,288),(191,291),(191,295),(192,288),(192,292),(192,296),(193,254),(193,310),(194,255),(194,310),(195,256),(195,311),(196,257),(196,311),(197,254),(197,293),(197,303),(198,255),(198,294),(198,303),(199,254),(199,295),(199,304),(200,255),(200,296),(200,304),(201,256),(201,293),(201,305),(202,256),(202,294),(202,306),(203,257),(203,295),(203,305),(204,257),(204,296),(204,306),(205,233),(205,237),(205,258),(205,273),(205,279),(206,234),(206,238),(206,258),(206,274),(206,280),(207,235),(207,239),(207,258),(207,275),(207,277),(208,236),(208,240),(208,258),(208,276),(208,278),(209,233),(209,234),(209,241),(209,281),(209,300),(210,235),(210,236),(210,242),(210,282),(210,299),(211,237),(211,238),(211,241),(211,284),(211,298),(212,239),(212,240),(212,242),(212,283),(212,297),(213,225),(213,226),(213,281),(213,307),(214,227),(214,228),(214,282),(214,307),(215,229),(215,230),(215,283),(215,307),(216,231),(216,232),(216,284),(216,307),(217,225),(217,271),(217,273),(217,297),(218,226),(218,272),(218,274),(218,297),(219,227),(219,269),(219,275),(219,298),(220,228),(220,270),(220,276),(220,298),(221,229),(221,269),(221,277),(221,300),(222,230),(222,270),(222,278),(222,300),(223,231),(223,271),(223,279),(223,299),(224,232),(224,272),(224,280),(224,299),(225,285),(225,310),(226,286),(226,310),(227,287),(227,311),(228,288),(228,311),(229,289),(229,311),(230,290),(230,311),(231,291),(231,310),(232,292),(232,310),(233,254),(233,285),(233,309),(234,255),(234,286),(234,309),(235,256),(235,287),(235,309),(236,257),(236,288),(236,309),(237,254),(237,291),(237,308),(238,255),(238,292),(238,308),(239,256),(239,289),(239,308),(240,257),(240,290),(240,308),(241,254),(241,255),(241,311),(242,256),(242,257),(242,310),(243,312),(244,312),(245,312),(246,312),(247,312),(248,312),(249,312),(250,312),(251,265),(251,266),(251,267),(251,268),(251,307),(252,297),(252,298),(252,307),(253,299),(253,300),(253,307),(254,312),(255,312),(256,312),(257,312),(258,308),(258,309),(259,269),(259,270),(259,301),(259,307),(260,271),(260,272),(260,302),(260,307),(261,273),(261,274),(261,281),(261,298),(261,302),(262,275),(262,276),(262,282),(262,297),(262,301),(263,277),(263,278),(263,283),(263,299),(263,301),(264,279),(264,280),(264,284),(264,300),(264,302),(265,293),(265,295),(265,310),(266,294),(266,296),(266,310),(267,293),(267,294),(267,311),(268,295),(268,296),(268,311),(269,303),(269,311),(270,304),(270,311),(271,305),(271,310),(272,306),(272,310),(273,285),(273,305),(273,308),(274,286),(274,306),(274,308),(275,287),(275,303),(275,308),(276,288),(276,304),(276,308),(277,289),(277,303),(277,309),(278,290),(278,304),(278,309),(279,291),(279,305),(279,309),(280,292),(280,306),(280,309),(281,285),(281,286),(281,311),(282,287),(282,288),(282,310),(283,289),(283,290),(283,310),(284,291),(284,292),(284,311),(285,312),(286,312),(287,312),(288,312),(289,312),(290,312),(291,312),(292,312),(293,312),(294,312),(295,312),(296,312),(297,308),(297,310),(298,308),(298,311),(299,309),(299,310),(300,309),(300,311),(301,303),(301,304),(301,310),(302,305),(302,306),(302,311),(303,312),(304,312),(305,312),(306,312),(307,310),(307,311),(308,312),(309,312),(310,312),(311,312)],313)=>27 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(1,22),(1,26),(1,38),(1,40),(1,45),(1,46),(1,47),(1,48),(1,146),(2,14),(2,21),(2,25),(2,38),(2,39),(2,41),(2,42),(2,43),(2,44),(2,145),(3,21),(3,24),(3,35),(3,37),(3,40),(3,53),(3,54),(3,55),(3,56),(3,147),(4,22),(4,23),(4,36),(4,37),(4,39),(4,57),(4,58),(4,59),(4,60),(4,148),(5,18),(5,28),(5,32),(5,42),(5,46),(5,51),(5,52),(5,54),(5,58),(5,150),(6,17),(6,27),(6,31),(6,41),(6,45),(6,49),(6,50),(6,53),(6,57),(6,150),(7,20),(7,30),(7,34),(7,44),(7,48),(7,50),(7,52),(7,56),(7,60),(7,149),(8,19),(8,29),(8,33),(8,43),(8,47),(8,49),(8,51),(8,55),(8,59),(8,149),(9,13),(9,17),(9,18),(9,19),(9,20),(9,23),(9,24),(9,145),(9,146),(10,16),(10,25),(10,27),(10,28),(10,29),(10,30),(10,36),(10,146),(10,147),(11,16),(11,26),(11,31),(11,32),(11,33),(11,34),(11,35),(11,145),(11,148),(12,13),(12,14),(12,15),(12,147),(12,148),(12,149),(12,150),(13,179),(13,180),(13,273),(13,274),(14,61),(14,175),(14,176),(14,221),(14,273),(15,61),(15,177),(15,178),(15,222),(15,274),(16,114),(16,115),(16,116),(16,117),(16,275),(16,280),(17,74),(17,75),(17,106),(17,110),(17,179),(17,223),(17,227),(18,76),(18,77),(18,107),(18,111),(18,179),(18,224),(18,228),(19,74),(19,76),(19,108),(19,112),(19,180),(19,225),(19,229),(20,75),(20,77),(20,109),(20,113),(20,180),(20,226),(20,230),(21,66),(21,67),(21,68),(21,69),(21,221),(21,231),(21,264),(22,70),(22,71),(22,72),(22,73),(22,222),(22,232),(22,264),(23,106),(23,107),(23,108),(23,109),(23,144),(23,232),(23,273),(24,110),(24,111),(24,112),(24,113),(24,144),(24,231),(24,274),(25,118),(25,119),(25,120),(25,121),(25,142),(25,221),(25,280),(26,122),(26,123),(26,124),(26,125),(26,143),(26,222),(26,280),(27,114),(27,118),(27,126),(27,127),(27,138),(27,227),(27,276),(28,115),(28,119),(28,128),(28,129),(28,139),(28,228),(28,276),(29,116),(29,120),(29,126),(29,128),(29,140),(29,229),(29,277),(30,117),(30,121),(30,127),(30,129),(30,141),(30,230),(30,277),(31,114),(31,122),(31,130),(31,131),(31,134),(31,223),(31,278),(32,115),(32,123),(32,132),(32,133),(32,135),(32,224),(32,278),(33,116),(33,124),(33,130),(33,132),(33,136),(33,225),(33,279),(34,117),(34,125),(34,131),(34,133),(34,137),(34,226),(34,279),(35,134),(35,135),(35,136),(35,137),(35,143),(35,231),(35,275),(36,138),(36,139),(36,140),(36,141),(36,142),(36,232),(36,275),(37,78),(37,79),(37,80),(37,81),(37,144),(37,264),(37,275),(38,61),(38,62),(38,63),(38,64),(38,65),(38,264),(38,280),(39,82),(39,83),(39,84),(39,85),(39,142),(39,264),(39,273),(40,86),(40,87),(40,88),(40,89),(40,143),(40,264),(40,274),(41,62),(41,66),(41,82),(41,90),(41,91),(41,118),(41,175),(41,223),(42,63),(42,67),(42,83),(42,92),(42,93),(42,119),(42,175),(42,224),(43,64),(43,68),(43,84),(43,90),(43,92),(43,120),(43,176),(43,225),(44,65),(44,69),(44,85),(44,91),(44,93),(44,121),(44,176),(44,226),(45,62),(45,70),(45,86),(45,94),(45,95),(45,122),(45,177),(45,227),(46,63),(46,71),(46,87),(46,96),(46,97),(46,123),(46,177),(46,228),(47,64),(47,72),(47,88),(47,94),(47,96),(47,124),(47,178),(47,229),(48,65),(48,73),(48,89),(48,95),(48,97),(48,125),(48,178),(48,230),(49,74),(49,90),(49,94),(49,98),(49,102),(49,126),(49,130),(49,263),(50,75),(50,91),(50,95),(50,99),(50,103),(50,127),(50,131),(50,263),(51,76),(51,92),(51,96),(51,100),(51,104),(51,128),(51,132),(51,263),(52,77),(52,93),(52,97),(52,101),(52,105),(52,129),(52,133),(52,263),(53,66),(53,78),(53,86),(53,98),(53,99),(53,110),(53,134),(53,276),(54,67),(54,79),(54,87),(54,100),(54,101),(54,111),(54,135),(54,276),(55,68),(55,80),(55,88),(55,98),(55,100),(55,112),(55,136),(55,277),(56,69),(56,81),(56,89),(56,99),(56,101),(56,113),(56,137),(56,277),(57,70),(57,78),(57,82),(57,102),(57,103),(57,106),(57,138),(57,278),(58,71),(58,79),(58,83),(58,104),(58,105),(58,107),(58,139),(58,278),(59,72),(59,80),(59,84),(59,102),(59,104),(59,108),(59,140),(59,279),(60,73),(60,81),(60,85),(60,103),(60,105),(60,109),(60,141),(60,279),(61,249),(61,250),(61,315),(62,181),(62,182),(62,249),(62,281),(62,285),(63,183),(63,184),(63,249),(63,282),(63,286),(64,181),(64,183),(64,250),(64,283),(64,287),(65,182),(65,184),(65,250),(65,284),(65,288),(66,213),(66,214),(66,241),(66,281),(66,289),(67,215),(67,216),(67,242),(67,282),(67,289),(68,213),(68,215),(68,243),(68,283),(68,290),(69,214),(69,216),(69,244),(69,284),(69,290),(70,217),(70,218),(70,245),(70,281),(70,291),(71,219),(71,220),(71,246),(71,282),(71,291),(72,217),(72,219),(72,247),(72,283),(72,292),(73,218),(73,220),(73,248),(73,284),(73,292),(74,205),(74,209),(74,233),(74,237),(74,293),(75,206),(75,210),(75,234),(75,238),(75,293),(76,207),(76,211),(76,235),(76,239),(76,293),(77,208),(77,212),(77,236),(77,240),(77,293),(78,159),(78,163),(78,164),(78,281),(78,309),(79,160),(79,165),(79,166),(79,282),(79,309),(80,161),(80,163),(80,165),(80,283),(80,310),(81,162),(81,164),(81,166),(81,284),(81,310),(82,151),(82,167),(82,168),(82,281),(82,305),(83,152),(83,169),(83,170),(83,282),(83,305),(84,153),(84,167),(84,169),(84,283),(84,306),(85,154),(85,168),(85,170),(85,284),(85,306),(86,155),(86,171),(86,172),(86,281),(86,307),(87,156),(87,173),(87,174),(87,282),(87,307),(88,157),(88,171),(88,173),(88,283),(88,308),(89,158),(89,172),(89,174),(89,284),(89,308),(90,167),(90,181),(90,189),(90,213),(90,233),(90,294),(91,168),(91,182),(91,190),(91,214),(91,234),(91,294),(92,169),(92,183),(92,191),(92,215),(92,235),(92,294),(93,170),(93,184),(93,192),(93,216),(93,236),(93,294),(94,171),(94,181),(94,193),(94,217),(94,237),(94,295),(95,172),(95,182),(95,194),(95,218),(95,238),(95,295),(96,173),(96,183),(96,195),(96,219),(96,239),(96,295),(97,174),(97,184),(97,196),(97,220),(97,240),(97,295),(98,163),(98,171),(98,197),(98,209),(98,213),(98,311),(99,164),(99,172),(99,198),(99,210),(99,214),(99,311),(100,165),(100,173),(100,199),(100,211),(100,215),(100,311),(101,166),(101,174),(101,200),(101,212),(101,216),(101,311),(102,163),(102,167),(102,201),(102,205),(102,217),(102,312),(103,164),(103,168),(103,202),(103,206),(103,218),(103,312),(104,165),(104,169),(104,203),(104,207),(104,219),(104,312),(105,166),(105,170),(105,204),(105,208),(105,220),(105,312),(106,159),(106,205),(106,206),(106,245),(106,305),(107,160),(107,207),(107,208),(107,246),(107,305),(108,161),(108,205),(108,207),(108,247),(108,306),(109,162),(109,206),(109,208),(109,248),(109,306),(110,159),(110,209),(110,210),(110,241),(110,307),(111,160),(111,211),(111,212),(111,242),(111,307),(112,161),(112,209),(112,211),(112,243),(112,308),(113,162),(113,210),(113,212),(113,244),(113,308),(114,185),(114,186),(114,285),(114,309),(115,187),(115,188),(115,286),(115,309),(116,185),(116,187),(116,287),(116,310),(117,186),(117,188),(117,288),(117,310),(118,151),(118,189),(118,190),(118,285),(118,289),(119,152),(119,191),(119,192),(119,286),(119,289),(120,153),(120,189),(120,191),(120,287),(120,290),(121,154),(121,190),(121,192),(121,288),(121,290),(122,155),(122,193),(122,194),(122,285),(122,291),(123,156),(123,195),(123,196),(123,286),(123,291),(124,157),(124,193),(124,195),(124,287),(124,292),(125,158),(125,194),(125,196),(125,288),(125,292),(126,185),(126,189),(126,201),(126,237),(126,311),(127,186),(127,190),(127,202),(127,238),(127,311),(128,187),(128,191),(128,203),(128,239),(128,311),(129,188),(129,192),(129,204),(129,240),(129,311),(130,185),(130,193),(130,197),(130,233),(130,312),(131,186),(131,194),(131,198),(131,234),(131,312),(132,187),(132,195),(132,199),(132,235),(132,312),(133,188),(133,196),(133,200),(133,236),(133,312),(134,155),(134,197),(134,198),(134,241),(134,309),(135,156),(135,199),(135,200),(135,242),(135,309),(136,157),(136,197),(136,199),(136,243),(136,310),(137,158),(137,198),(137,200),(137,244),(137,310),(138,151),(138,201),(138,202),(138,245),(138,309),(139,152),(139,203),(139,204),(139,246),(139,309),(140,153),(140,201),(140,203),(140,247),(140,310),(141,154),(141,202),(141,204),(141,248),(141,310),(142,151),(142,152),(142,153),(142,154),(142,315),(143,155),(143,156),(143,157),(143,158),(143,315),(144,159),(144,160),(144,161),(144,162),(144,315),(145,223),(145,224),(145,225),(145,226),(145,231),(145,273),(145,280),(146,227),(146,228),(146,229),(146,230),(146,232),(146,274),(146,280),(147,221),(147,274),(147,275),(147,276),(147,277),(148,222),(148,273),(148,275),(148,278),(148,279),(149,176),(149,178),(149,180),(149,263),(149,277),(149,279),(150,175),(150,177),(150,179),(150,263),(150,276),(150,278),(151,255),(151,256),(151,319),(152,257),(152,258),(152,319),(153,255),(153,257),(153,320),(154,256),(154,258),(154,320),(155,259),(155,260),(155,319),(156,261),(156,262),(156,319),(157,259),(157,261),(157,320),(158,260),(158,262),(158,320),(159,251),(159,252),(159,319),(160,253),(160,254),(160,319),(161,251),(161,253),(161,320),(162,252),(162,254),(162,320),(163,251),(163,301),(163,318),(164,252),(164,302),(164,318),(165,253),(165,303),(165,318),(166,254),(166,304),(166,318),(167,255),(167,301),(167,316),(168,256),(168,302),(168,316),(169,257),(169,303),(169,316),(170,258),(170,304),(170,316),(171,259),(171,301),(171,317),(172,260),(172,302),(172,317),(173,261),(173,303),(173,317),(174,262),(174,304),(174,317),(175,249),(175,289),(175,294),(175,305),(176,250),(176,290),(176,294),(176,306),(177,249),(177,291),(177,295),(177,307),(178,250),(178,292),(178,295),(178,308),(179,293),(179,305),(179,307),(180,293),(180,306),(180,308),(181,296),(181,297),(181,301),(182,296),(182,298),(182,302),(183,296),(183,299),(183,303),(184,296),(184,300),(184,304),(185,297),(185,318),(186,298),(186,318),(187,299),(187,318),(188,300),(188,318),(189,255),(189,297),(189,313),(190,256),(190,298),(190,313),(191,257),(191,299),(191,313),(192,258),(192,300),(192,313),(193,259),(193,297),(193,314),(194,260),(194,298),(194,314),(195,261),(195,299),(195,314),(196,262),(196,300),(196,314),(197,259),(197,265),(197,318),(198,260),(198,266),(198,318),(199,261),(199,267),(199,318),(200,262),(200,268),(200,318),(201,255),(201,269),(201,318),(202,256),(202,270),(202,318),(203,257),(203,271),(203,318),(204,258),(204,272),(204,318),(205,251),(205,269),(205,316),(206,252),(206,270),(206,316),(207,253),(207,271),(207,316),(208,254),(208,272),(208,316),(209,251),(209,265),(209,317),(210,252),(210,266),(210,317),(211,253),(211,267),(211,317),(212,254),(212,268),(212,317),(213,265),(213,301),(213,313),(214,266),(214,302),(214,313),(215,267),(215,303),(215,313),(216,268),(216,304),(216,313),(217,269),(217,301),(217,314),(218,270),(218,302),(218,314),(219,271),(219,303),(219,314),(220,272),(220,304),(220,314),(221,289),(221,290),(221,315),(222,291),(222,292),(222,315),(223,233),(223,234),(223,241),(223,285),(223,305),(224,235),(224,236),(224,242),(224,286),(224,305),(225,233),(225,235),(225,243),(225,287),(225,306),(226,234),(226,236),(226,244),(226,288),(226,306),(227,237),(227,238),(227,245),(227,285),(227,307),(228,239),(228,240),(228,246),(228,286),(228,307),(229,237),(229,239),(229,247),(229,287),(229,308),(230,238),(230,240),(230,248),(230,288),(230,308),(231,241),(231,242),(231,243),(231,244),(231,315),(232,245),(232,246),(232,247),(232,248),(232,315),(233,265),(233,297),(233,316),(234,266),(234,298),(234,316),(235,267),(235,299),(235,316),(236,268),(236,300),(236,316),(237,269),(237,297),(237,317),(238,270),(238,298),(238,317),(239,271),(239,299),(239,317),(240,272),(240,300),(240,317),(241,265),(241,266),(241,319),(242,267),(242,268),(242,319),(243,265),(243,267),(243,320),(244,266),(244,268),(244,320),(245,269),(245,270),(245,319),(246,271),(246,272),(246,319),(247,269),(247,271),(247,320),(248,270),(248,272),(248,320),(249,296),(249,319),(250,296),(250,320),(251,321),(252,321),(253,321),(254,321),(255,321),(256,321),(257,321),(258,321),(259,321),(260,321),(261,321),(262,321),(263,293),(263,294),(263,295),(263,311),(263,312),(264,281),(264,282),(264,283),(264,284),(264,315),(265,321),(266,321),(267,321),(268,321),(269,321),(270,321),(271,321),(272,321),(273,305),(273,306),(273,315),(274,307),(274,308),(274,315),(275,309),(275,310),(275,315),(276,289),(276,307),(276,309),(276,311),(277,290),(277,308),(277,310),(277,311),(278,291),(278,305),(278,309),(278,312),(279,292),(279,306),(279,310),(279,312),(280,285),(280,286),(280,287),(280,288),(280,315),(281,301),(281,302),(281,319),(282,303),(282,304),(282,319),(283,301),(283,303),(283,320),(284,302),(284,304),(284,320),(285,297),(285,298),(285,319),(286,299),(286,300),(286,319),(287,297),(287,299),(287,320),(288,298),(288,300),(288,320),(289,313),(289,319),(290,313),(290,320),(291,314),(291,319),(292,314),(292,320),(293,316),(293,317),(294,296),(294,313),(294,316),(295,296),(295,314),(295,317),(296,321),(297,321),(298,321),(299,321),(300,321),(301,321),(302,321),(303,321),(304,321),(305,316),(305,319),(306,316),(306,320),(307,317),(307,319),(308,317),(308,320),(309,318),(309,319),(310,318),(310,320),(311,313),(311,317),(311,318),(312,314),(312,316),(312,318),(313,321),(314,321),(315,319),(315,320),(316,321),(317,321),(318,321),(319,321),(320,321)],322)=>30 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(0,13),(1,17),(1,23),(1,33),(1,39),(1,46),(1,50),(1,56),(1,58),(1,63),(1,64),(1,76),(2,16),(2,22),(2,32),(2,38),(2,45),(2,49),(2,55),(2,57),(2,61),(2,62),(2,76),(3,15),(3,25),(3,35),(3,37),(3,48),(3,52),(3,54),(3,60),(3,62),(3,64),(3,77),(4,14),(4,24),(4,34),(4,36),(4,47),(4,51),(4,53),(4,59),(4,61),(4,63),(4,77),(5,19),(5,27),(5,29),(5,34),(5,35),(5,43),(5,55),(5,56),(5,154),(5,155),(6,18),(6,26),(6,28),(6,32),(6,33),(6,42),(6,53),(6,54),(6,153),(6,155),(7,21),(7,26),(7,30),(7,36),(7,37),(7,43),(7,57),(7,58),(7,151),(7,156),(8,20),(8,27),(8,31),(8,38),(8,39),(8,42),(8,59),(8,60),(8,152),(8,156),(9,30),(9,31),(9,41),(9,44),(9,49),(9,50),(9,51),(9,52),(9,153),(9,154),(10,28),(10,29),(10,40),(10,44),(10,45),(10,46),(10,47),(10,48),(10,151),(10,152),(11,22),(11,23),(11,24),(11,25),(11,40),(11,41),(11,65),(11,155),(11,156),(12,14),(12,15),(12,18),(12,20),(12,65),(12,76),(12,151),(12,154),(13,16),(13,17),(13,19),(13,21),(13,65),(13,77),(13,152),(13,153),(14,79),(14,83),(14,181),(14,231),(14,237),(14,277),(15,80),(15,84),(15,182),(15,232),(15,238),(15,277),(16,81),(16,85),(16,183),(16,233),(16,235),(16,278),(17,82),(17,86),(17,184),(17,234),(17,236),(17,278),(18,66),(18,79),(18,80),(18,177),(18,217),(18,307),(19,67),(19,81),(19,82),(19,178),(19,218),(19,307),(20,66),(20,83),(20,84),(20,179),(20,220),(20,306),(21,67),(21,85),(21,86),(21,180),(21,219),(21,306),(22,68),(22,69),(22,119),(22,125),(22,223),(22,227),(22,278),(23,70),(23,71),(23,120),(23,126),(23,224),(23,228),(23,278),(24,68),(24,70),(24,121),(24,123),(24,225),(24,229),(24,277),(25,69),(25,71),(25,122),(25,124),(25,226),(25,230),(25,277),(26,87),(26,88),(26,91),(26,92),(26,217),(26,219),(26,281),(27,89),(27,90),(27,93),(27,94),(27,218),(27,220),(27,281),(28,95),(28,96),(28,127),(28,128),(28,217),(28,221),(28,279),(29,97),(29,98),(29,129),(29,130),(29,218),(29,221),(29,280),(30,99),(30,100),(30,131),(30,132),(30,219),(30,222),(30,280),(31,101),(31,102),(31,133),(31,134),(31,220),(31,222),(31,279),(32,72),(32,87),(32,95),(32,103),(32,104),(32,177),(32,223),(32,235),(33,73),(33,88),(33,96),(33,105),(33,106),(33,177),(33,224),(33,236),(34,74),(34,89),(34,97),(34,107),(34,109),(34,178),(34,225),(34,237),(35,75),(35,90),(35,98),(35,108),(35,110),(35,178),(35,226),(35,238),(36,74),(36,91),(36,99),(36,111),(36,113),(36,180),(36,229),(36,231),(37,75),(37,92),(37,100),(37,112),(37,114),(37,180),(37,230),(37,232),(38,72),(38,93),(38,101),(38,115),(38,116),(38,179),(38,227),(38,233),(39,73),(39,94),(39,102),(39,117),(39,118),(39,179),(39,228),(39,234),(40,78),(40,119),(40,120),(40,121),(40,122),(40,221),(40,306),(41,78),(41,123),(41,124),(41,125),(41,126),(41,222),(41,307),(42,66),(42,72),(42,73),(42,139),(42,140),(42,279),(42,281),(43,67),(43,74),(43,75),(43,141),(43,142),(43,280),(43,281),(44,78),(44,135),(44,136),(44,137),(44,138),(44,279),(44,280),(45,95),(45,119),(45,129),(45,135),(45,143),(45,144),(45,233),(45,294),(46,96),(46,120),(46,130),(46,136),(46,145),(46,146),(46,234),(46,294),(47,97),(47,121),(47,127),(47,137),(47,143),(47,145),(47,231),(47,295),(48,98),(48,122),(48,128),(48,138),(48,144),(48,146),(48,232),(48,295),(49,101),(49,125),(49,131),(49,135),(49,147),(49,148),(49,235),(49,297),(50,102),(50,126),(50,132),(50,136),(50,149),(50,150),(50,236),(50,297),(51,99),(51,123),(51,133),(51,137),(51,147),(51,149),(51,237),(51,296),(52,100),(52,124),(52,134),(52,138),(52,148),(52,150),(52,238),(52,296),(53,79),(53,91),(53,103),(53,105),(53,127),(53,139),(53,225),(53,296),(54,80),(54,92),(54,104),(54,106),(54,128),(54,140),(54,226),(54,296),(55,81),(55,93),(55,107),(55,108),(55,129),(55,141),(55,223),(55,297),(56,82),(56,94),(56,109),(56,110),(56,130),(56,142),(56,224),(56,297),(57,85),(57,87),(57,111),(57,112),(57,131),(57,141),(57,227),(57,294),(58,86),(58,88),(58,113),(58,114),(58,132),(58,142),(58,228),(58,294),(59,83),(59,89),(59,115),(59,117),(59,133),(59,139),(59,229),(59,295),(60,84),(60,90),(60,116),(60,118),(60,134),(60,140),(60,230),(60,295),(61,68),(61,103),(61,107),(61,111),(61,115),(61,143),(61,147),(61,181),(61,183),(62,69),(62,104),(62,108),(62,112),(62,116),(62,144),(62,148),(62,182),(62,183),(63,70),(63,105),(63,109),(63,113),(63,117),(63,145),(63,149),(63,181),(63,184),(64,71),(64,106),(64,110),(64,114),(64,118),(64,146),(64,150),(64,182),(64,184),(65,277),(65,278),(65,306),(65,307),(66,169),(66,170),(66,263),(66,343),(67,171),(67,172),(67,264),(67,343),(68,193),(68,197),(68,239),(68,243),(68,332),(69,194),(69,198),(69,240),(69,244),(69,332),(70,195),(70,199),(70,241),(70,245),(70,332),(71,196),(71,200),(71,242),(71,246),(71,332),(72,157),(72,158),(72,263),(72,298),(72,302),(73,159),(73,160),(73,263),(73,299),(73,303),(74,161),(74,163),(74,264),(74,300),(74,304),(75,162),(75,164),(75,264),(75,301),(75,305),(76,177),(76,179),(76,181),(76,182),(76,278),(76,294),(76,297),(77,178),(77,180),(77,183),(77,184),(77,277),(77,295),(77,296),(78,173),(78,174),(78,175),(78,176),(78,343),(79,169),(79,247),(79,265),(79,337),(80,170),(80,248),(80,266),(80,337),(81,171),(81,249),(81,267),(81,338),(82,172),(82,250),(82,268),(82,338),(83,169),(83,253),(83,269),(83,335),(84,170),(84,254),(84,270),(84,335),(85,171),(85,251),(85,271),(85,336),(86,172),(86,252),(86,272),(86,336),(87,185),(87,186),(87,251),(87,302),(87,316),(88,187),(88,188),(88,252),(88,303),(88,316),(89,189),(89,191),(89,253),(89,304),(89,317),(90,190),(90,192),(90,254),(90,305),(90,317),(91,185),(91,187),(91,247),(91,304),(91,318),(92,186),(92,188),(92,248),(92,305),(92,318),(93,189),(93,190),(93,249),(93,302),(93,319),(94,191),(94,192),(94,250),(94,303),(94,319),(95,201),(95,202),(95,255),(95,298),(95,316),(96,203),(96,204),(96,256),(96,299),(96,316),(97,205),(97,207),(97,257),(97,300),(97,317),(98,206),(98,208),(98,258),(98,301),(98,317),(99,209),(99,211),(99,259),(99,300),(99,318),(100,210),(100,212),(100,260),(100,301),(100,318),(101,213),(101,214),(101,261),(101,298),(101,319),(102,215),(102,216),(102,262),(102,299),(102,319),(103,157),(103,185),(103,201),(103,239),(103,265),(103,312),(104,158),(104,186),(104,202),(104,240),(104,266),(104,312),(105,159),(105,187),(105,203),(105,241),(105,265),(105,313),(106,160),(106,188),(106,204),(106,242),(106,266),(106,313),(107,161),(107,189),(107,205),(107,239),(107,267),(107,314),(108,162),(108,190),(108,206),(108,240),(108,267),(108,315),(109,163),(109,191),(109,207),(109,241),(109,268),(109,314),(110,164),(110,192),(110,208),(110,242),(110,268),(110,315),(111,161),(111,185),(111,209),(111,243),(111,271),(111,308),(112,162),(112,186),(112,210),(112,244),(112,271),(112,309),(113,163),(113,187),(113,211),(113,245),(113,272),(113,308),(114,164),(114,188),(114,212),(114,246),(114,272),(114,309),(115,157),(115,189),(115,213),(115,243),(115,269),(115,310),(116,158),(116,190),(116,214),(116,244),(116,270),(116,310),(117,159),(117,191),(117,215),(117,245),(117,269),(117,311),(118,160),(118,192),(118,216),(118,246),(118,270),(118,311),(119,175),(119,193),(119,194),(119,255),(119,336),(120,176),(120,195),(120,196),(120,256),(120,336),(121,173),(121,193),(121,195),(121,257),(121,335),(122,174),(122,194),(122,196),(122,258),(122,335),(123,173),(123,197),(123,199),(123,259),(123,337),(124,174),(124,198),(124,200),(124,260),(124,337),(125,175),(125,197),(125,198),(125,261),(125,338),(126,176),(126,199),(126,200),(126,262),(126,338),(127,201),(127,203),(127,247),(127,257),(127,333),(128,202),(128,204),(128,248),(128,258),(128,333),(129,205),(129,206),(129,249),(129,255),(129,334),(130,207),(130,208),(130,250),(130,256),(130,334),(131,209),(131,210),(131,251),(131,261),(131,334),(132,211),(132,212),(132,252),(132,262),(132,334),(133,213),(133,215),(133,253),(133,259),(133,333),(134,214),(134,216),(134,254),(134,260),(134,333),(135,165),(135,166),(135,175),(135,298),(135,334),(136,167),(136,168),(136,176),(136,299),(136,334),(137,165),(137,167),(137,173),(137,300),(137,333),(138,166),(138,168),(138,174),(138,301),(138,333),(139,157),(139,159),(139,169),(139,304),(139,333),(140,158),(140,160),(140,170),(140,305),(140,333),(141,161),(141,162),(141,171),(141,302),(141,334),(142,163),(142,164),(142,172),(142,303),(142,334),(143,165),(143,193),(143,201),(143,205),(143,308),(143,310),(144,166),(144,194),(144,202),(144,206),(144,309),(144,310),(145,167),(145,195),(145,203),(145,207),(145,308),(145,311),(146,168),(146,196),(146,204),(146,208),(146,309),(146,311),(147,165),(147,197),(147,209),(147,213),(147,312),(147,314),(148,166),(148,198),(148,210),(148,214),(148,312),(148,315),(149,167),(149,199),(149,211),(149,215),(149,313),(149,314),(150,168),(150,200),(150,212),(150,216),(150,313),(150,315),(151,217),(151,231),(151,232),(151,280),(151,294),(151,306),(152,218),(152,233),(152,234),(152,279),(152,295),(152,306),(153,219),(153,235),(153,236),(153,279),(153,296),(153,307),(154,220),(154,237),(154,238),(154,280),(154,297),(154,307),(155,221),(155,223),(155,224),(155,225),(155,226),(155,281),(155,307),(156,222),(156,227),(156,228),(156,229),(156,230),(156,281),(156,306),(157,282),(157,320),(157,339),(158,283),(158,321),(158,339),(159,282),(159,322),(159,340),(160,283),(160,323),(160,340),(161,284),(161,320),(161,341),(162,284),(162,321),(162,342),(163,285),(163,322),(163,341),(164,285),(164,323),(164,342),(165,273),(165,339),(165,341),(166,274),(166,339),(166,342),(167,275),(167,340),(167,341),(168,276),(168,340),(168,342),(169,282),(169,346),(170,283),(170,346),(171,284),(171,347),(172,285),(172,347),(173,273),(173,275),(173,346),(174,274),(174,276),(174,346),(175,273),(175,274),(175,347),(176,275),(176,276),(176,347),(177,263),(177,265),(177,266),(177,316),(177,338),(178,264),(178,267),(178,268),(178,317),(178,337),(179,263),(179,269),(179,270),(179,319),(179,336),(180,264),(180,271),(180,272),(180,318),(180,335),(181,265),(181,269),(181,308),(181,314),(181,332),(182,266),(182,270),(182,309),(182,315),(182,332),(183,267),(183,271),(183,310),(183,312),(183,332),(184,268),(184,272),(184,311),(184,313),(184,332),(185,320),(185,324),(185,328),(186,321),(186,325),(186,328),(187,322),(187,324),(187,329),(188,323),(188,325),(188,329),(189,320),(189,326),(189,330),(190,321),(190,326),(190,331),(191,322),(191,327),(191,330),(192,323),(192,327),(192,331),(193,273),(193,286),(193,344),(194,274),(194,287),(194,344),(195,275),(195,288),(195,344),(196,276),(196,289),(196,344),(197,273),(197,290),(197,345),(198,274),(198,291),(198,345),(199,275),(199,292),(199,345),(200,276),(200,293),(200,345),(201,286),(201,324),(201,339),(202,287),(202,325),(202,339),(203,288),(203,324),(203,340),(204,289),(204,325),(204,340),(205,286),(205,326),(205,341),(206,287),(206,326),(206,342),(207,288),(207,327),(207,341),(208,289),(208,327),(208,342),(209,290),(209,328),(209,341),(210,291),(210,328),(210,342),(211,292),(211,329),(211,341),(212,293),(212,329),(212,342),(213,290),(213,330),(213,339),(214,291),(214,331),(214,339),(215,292),(215,330),(215,340),(216,293),(216,331),(216,340),(217,247),(217,248),(217,316),(217,343),(218,249),(218,250),(218,317),(218,343),(219,251),(219,252),(219,318),(219,343),(220,253),(220,254),(220,319),(220,343),(221,255),(221,256),(221,257),(221,258),(221,343),(222,259),(222,260),(222,261),(222,262),(222,343),(223,239),(223,240),(223,255),(223,302),(223,338),(224,241),(224,242),(224,256),(224,303),(224,338),(225,239),(225,241),(225,257),(225,304),(225,337),(226,240),(226,242),(226,258),(226,305),(226,337),(227,243),(227,244),(227,261),(227,302),(227,336),(228,245),(228,246),(228,262),(228,303),(228,336),(229,243),(229,245),(229,259),(229,304),(229,335),(230,244),(230,246),(230,260),(230,305),(230,335),(231,247),(231,300),(231,308),(231,335),(232,248),(232,301),(232,309),(232,335),(233,249),(233,298),(233,310),(233,336),(234,250),(234,299),(234,311),(234,336),(235,251),(235,298),(235,312),(235,338),(236,252),(236,299),(236,313),(236,338),(237,253),(237,300),(237,314),(237,337),(238,254),(238,301),(238,315),(238,337),(239,286),(239,320),(239,345),(240,287),(240,321),(240,345),(241,288),(241,322),(241,345),(242,289),(242,323),(242,345),(243,290),(243,320),(243,344),(244,291),(244,321),(244,344),(245,292),(245,322),(245,344),(246,293),(246,323),(246,344),(247,324),(247,346),(248,325),(248,346),(249,326),(249,347),(250,327),(250,347),(251,328),(251,347),(252,329),(252,347),(253,330),(253,346),(254,331),(254,346),(255,286),(255,287),(255,347),(256,288),(256,289),(256,347),(257,286),(257,288),(257,346),(258,287),(258,289),(258,346),(259,290),(259,292),(259,346),(260,291),(260,293),(260,346),(261,290),(261,291),(261,347),(262,292),(262,293),(262,347),(263,282),(263,283),(263,347),(264,284),(264,285),(264,346),(265,282),(265,324),(265,345),(266,283),(266,325),(266,345),(267,284),(267,326),(267,345),(268,285),(268,327),(268,345),(269,282),(269,330),(269,344),(270,283),(270,331),(270,344),(271,284),(271,328),(271,344),(272,285),(272,329),(272,344),(273,348),(274,348),(275,348),(276,348),(277,332),(277,335),(277,337),(278,332),(278,336),(278,338),(279,298),(279,299),(279,333),(279,343),(280,300),(280,301),(280,334),(280,343),(281,302),(281,303),(281,304),(281,305),(281,343),(282,348),(283,348),(284,348),(285,348),(286,348),(287,348),(288,348),(289,348),(290,348),(291,348),(292,348),(293,348),(294,308),(294,309),(294,316),(294,334),(294,336),(295,310),(295,311),(295,317),(295,333),(295,335),(296,312),(296,313),(296,318),(296,333),(296,337),(297,314),(297,315),(297,319),(297,334),(297,338),(298,339),(298,347),(299,340),(299,347),(300,341),(300,346),(301,342),(301,346),(302,320),(302,321),(302,347),(303,322),(303,323),(303,347),(304,320),(304,322),(304,346),(305,321),(305,323),(305,346),(306,335),(306,336),(306,343),(307,337),(307,338),(307,343),(308,324),(308,341),(308,344),(309,325),(309,342),(309,344),(310,326),(310,339),(310,344),(311,327),(311,340),(311,344),(312,328),(312,339),(312,345),(313,329),(313,340),(313,345),(314,330),(314,341),(314,345),(315,331),(315,342),(315,345),(316,324),(316,325),(316,347),(317,326),(317,327),(317,346),(318,328),(318,329),(318,346),(319,330),(319,331),(319,347),(320,348),(321,348),(322,348),(323,348),(324,348),(325,348),(326,348),(327,348),(328,348),(329,348),(330,348),(331,348),(332,344),(332,345),(333,339),(333,340),(333,346),(334,341),(334,342),(334,347),(335,344),(335,346),(336,344),(336,347),(337,345),(337,346),(338,345),(338,347),(339,348),(340,348),(341,348),(342,348),(343,346),(343,347),(344,348),(345,348),(346,348),(347,348)],349)=>42 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(0,13),(1,17),(1,21),(1,31),(1,35),(1,46),(1,50),(1,54),(1,58),(1,63),(1,64),(1,68),(2,16),(2,20),(2,30),(2,34),(2,45),(2,49),(2,53),(2,57),(2,61),(2,62),(2,68),(3,19),(3,23),(3,33),(3,37),(3,48),(3,52),(3,56),(3,60),(3,62),(3,64),(3,67),(4,18),(4,22),(4,32),(4,36),(4,47),(4,51),(4,55),(4,59),(4,61),(4,63),(4,67),(5,15),(5,28),(5,29),(5,34),(5,35),(5,36),(5,37),(5,44),(5,159),(5,160),(6,14),(6,26),(6,27),(6,30),(6,31),(6,32),(6,33),(6,44),(6,157),(6,158),(7,25),(7,27),(7,41),(7,43),(7,49),(7,50),(7,51),(7,52),(7,155),(7,160),(8,24),(8,26),(8,40),(8,42),(8,45),(8,46),(8,47),(8,48),(8,155),(8,159),(9,24),(9,28),(9,38),(9,43),(9,53),(9,54),(9,55),(9,56),(9,156),(9,157),(10,25),(10,29),(10,39),(10,42),(10,57),(10,58),(10,59),(10,60),(10,156),(10,158),(11,16),(11,17),(11,18),(11,19),(11,39),(11,40),(11,66),(11,157),(11,160),(12,20),(12,21),(12,22),(12,23),(12,38),(12,41),(12,66),(12,158),(12,159),(13,14),(13,15),(13,66),(13,67),(13,68),(13,155),(13,156),(14,65),(14,173),(14,175),(14,176),(14,315),(15,65),(15,174),(15,177),(15,178),(15,316),(16,73),(16,74),(16,111),(16,115),(16,231),(16,243),(16,289),(17,75),(17,76),(17,112),(17,116),(17,232),(17,244),(17,289),(18,73),(18,75),(18,113),(18,117),(18,233),(18,245),(18,290),(19,74),(19,76),(19,114),(19,118),(19,234),(19,246),(19,290),(20,77),(20,78),(20,107),(20,119),(20,235),(20,239),(20,289),(21,79),(21,80),(21,108),(21,120),(21,236),(21,240),(21,289),(22,77),(22,79),(22,109),(22,121),(22,237),(22,241),(22,290),(23,78),(23,80),(23,110),(23,122),(23,238),(23,242),(23,290),(24,123),(24,124),(24,125),(24,126),(24,169),(24,171),(24,291),(25,127),(25,128),(25,129),(25,130),(25,170),(25,172),(25,291),(26,91),(26,92),(26,93),(26,94),(26,169),(26,173),(26,293),(27,95),(27,96),(27,97),(27,98),(27,170),(27,173),(27,294),(28,99),(28,100),(28,101),(28,102),(28,171),(28,174),(28,294),(29,103),(29,104),(29,105),(29,106),(29,172),(29,174),(29,293),(30,69),(30,81),(30,82),(30,91),(30,95),(30,175),(30,231),(30,235),(31,70),(31,83),(31,84),(31,92),(31,96),(31,175),(31,232),(31,236),(32,71),(32,81),(32,83),(32,93),(32,97),(32,176),(32,233),(32,237),(33,72),(33,82),(33,84),(33,94),(33,98),(33,176),(33,234),(33,238),(34,69),(34,85),(34,86),(34,99),(34,103),(34,177),(34,239),(34,243),(35,70),(35,87),(35,88),(35,100),(35,104),(35,177),(35,240),(35,244),(36,71),(36,85),(36,87),(36,101),(36,105),(36,178),(36,241),(36,245),(37,72),(37,86),(37,88),(37,102),(37,106),(37,178),(37,242),(37,246),(38,90),(38,107),(38,108),(38,109),(38,110),(38,171),(38,315),(39,89),(39,111),(39,112),(39,113),(39,114),(39,172),(39,315),(40,89),(40,115),(40,116),(40,117),(40,118),(40,169),(40,316),(41,90),(41,119),(41,120),(41,121),(41,122),(41,170),(41,316),(42,89),(42,131),(42,132),(42,133),(42,134),(42,291),(42,293),(43,90),(43,135),(43,136),(43,137),(43,138),(43,291),(43,294),(44,65),(44,69),(44,70),(44,71),(44,72),(44,293),(44,294),(45,91),(45,115),(45,123),(45,131),(45,139),(45,140),(45,239),(45,311),(46,92),(46,116),(46,124),(46,132),(46,141),(46,142),(46,240),(46,311),(47,93),(47,117),(47,125),(47,133),(47,139),(47,141),(47,241),(47,312),(48,94),(48,118),(48,126),(48,134),(48,140),(48,142),(48,242),(48,312),(49,95),(49,119),(49,127),(49,135),(49,143),(49,144),(49,243),(49,311),(50,96),(50,120),(50,128),(50,136),(50,145),(50,146),(50,244),(50,311),(51,97),(51,121),(51,129),(51,137),(51,143),(51,145),(51,245),(51,312),(52,98),(52,122),(52,130),(52,138),(52,144),(52,146),(52,246),(52,312),(53,99),(53,107),(53,123),(53,135),(53,147),(53,148),(53,231),(53,313),(54,100),(54,108),(54,124),(54,136),(54,149),(54,150),(54,232),(54,313),(55,101),(55,109),(55,125),(55,137),(55,147),(55,149),(55,233),(55,314),(56,102),(56,110),(56,126),(56,138),(56,148),(56,150),(56,234),(56,314),(57,103),(57,111),(57,127),(57,131),(57,151),(57,152),(57,235),(57,313),(58,104),(58,112),(58,128),(58,132),(58,153),(58,154),(58,236),(58,313),(59,105),(59,113),(59,129),(59,133),(59,151),(59,153),(59,237),(59,314),(60,106),(60,114),(60,130),(60,134),(60,152),(60,154),(60,238),(60,314),(61,73),(61,77),(61,81),(61,85),(61,139),(61,143),(61,147),(61,151),(61,292),(62,74),(62,78),(62,82),(62,86),(62,140),(62,144),(62,148),(62,152),(62,292),(63,75),(63,79),(63,83),(63,87),(63,141),(63,145),(63,149),(63,153),(63,292),(64,76),(64,80),(64,84),(64,88),(64,142),(64,146),(64,150),(64,154),(64,292),(65,279),(65,280),(65,351),(66,289),(66,290),(66,315),(66,316),(67,176),(67,178),(67,290),(67,292),(67,312),(67,314),(68,175),(68,177),(68,289),(68,292),(68,311),(68,313),(69,187),(69,188),(69,279),(69,317),(69,321),(70,189),(70,190),(70,279),(70,318),(70,322),(71,187),(71,189),(71,280),(71,319),(71,323),(72,188),(72,190),(72,280),(72,320),(72,324),(73,195),(73,199),(73,247),(73,259),(73,340),(74,196),(74,200),(74,248),(74,260),(74,340),(75,197),(75,201),(75,249),(75,261),(75,340),(76,198),(76,202),(76,250),(76,262),(76,340),(77,191),(77,203),(77,251),(77,255),(77,340),(78,192),(78,204),(78,252),(78,256),(78,340),(79,193),(79,205),(79,253),(79,257),(79,340),(80,194),(80,206),(80,254),(80,258),(80,340),(81,187),(81,207),(81,211),(81,247),(81,251),(81,329),(82,188),(82,208),(82,212),(82,248),(82,252),(82,329),(83,189),(83,209),(83,213),(83,249),(83,253),(83,329),(84,190),(84,210),(84,214),(84,250),(84,254),(84,329),(85,187),(85,215),(85,219),(85,255),(85,259),(85,330),(86,188),(86,216),(86,220),(86,256),(86,260),(86,330),(87,189),(87,217),(87,221),(87,257),(87,261),(87,330),(88,190),(88,218),(88,222),(88,258),(88,262),(88,330),(89,161),(89,162),(89,163),(89,164),(89,351),(90,165),(90,166),(90,167),(90,168),(90,351),(91,207),(91,208),(91,263),(91,317),(91,325),(92,209),(92,210),(92,264),(92,318),(92,325),(93,207),(93,209),(93,265),(93,319),(93,326),(94,208),(94,210),(94,266),(94,320),(94,326),(95,211),(95,212),(95,267),(95,321),(95,325),(96,213),(96,214),(96,268),(96,322),(96,325),(97,211),(97,213),(97,269),(97,323),(97,326),(98,212),(98,214),(98,270),(98,324),(98,326),(99,215),(99,216),(99,271),(99,321),(99,327),(100,217),(100,218),(100,272),(100,322),(100,327),(101,215),(101,217),(101,273),(101,323),(101,328),(102,216),(102,218),(102,274),(102,324),(102,328),(103,219),(103,220),(103,275),(103,317),(103,327),(104,221),(104,222),(104,276),(104,318),(104,327),(105,219),(105,221),(105,277),(105,319),(105,328),(106,220),(106,222),(106,278),(106,320),(106,328),(107,165),(107,191),(107,192),(107,271),(107,345),(108,166),(108,193),(108,194),(108,272),(108,345),(109,167),(109,191),(109,193),(109,273),(109,346),(110,168),(110,192),(110,194),(110,274),(110,346),(111,161),(111,195),(111,196),(111,275),(111,345),(112,162),(112,197),(112,198),(112,276),(112,345),(113,163),(113,195),(113,197),(113,277),(113,346),(114,164),(114,196),(114,198),(114,278),(114,346),(115,161),(115,199),(115,200),(115,263),(115,347),(116,162),(116,201),(116,202),(116,264),(116,347),(117,163),(117,199),(117,201),(117,265),(117,348),(118,164),(118,200),(118,202),(118,266),(118,348),(119,165),(119,203),(119,204),(119,267),(119,347),(120,166),(120,205),(120,206),(120,268),(120,347),(121,167),(121,203),(121,205),(121,269),(121,348),(122,168),(122,204),(122,206),(122,270),(122,348),(123,223),(123,224),(123,263),(123,271),(123,341),(124,225),(124,226),(124,264),(124,272),(124,341),(125,223),(125,225),(125,265),(125,273),(125,342),(126,224),(126,226),(126,266),(126,274),(126,342),(127,227),(127,228),(127,267),(127,275),(127,341),(128,229),(128,230),(128,268),(128,276),(128,341),(129,227),(129,229),(129,269),(129,277),(129,342),(130,228),(130,230),(130,270),(130,278),(130,342),(131,161),(131,179),(131,180),(131,317),(131,341),(132,162),(132,181),(132,182),(132,318),(132,341),(133,163),(133,179),(133,181),(133,319),(133,342),(134,164),(134,180),(134,182),(134,320),(134,342),(135,165),(135,183),(135,184),(135,321),(135,341),(136,166),(136,185),(136,186),(136,322),(136,341),(137,167),(137,183),(137,185),(137,323),(137,342),(138,168),(138,184),(138,186),(138,324),(138,342),(139,179),(139,199),(139,207),(139,223),(139,255),(139,343),(140,180),(140,200),(140,208),(140,224),(140,256),(140,343),(141,181),(141,201),(141,209),(141,225),(141,257),(141,343),(142,182),(142,202),(142,210),(142,226),(142,258),(142,343),(143,183),(143,203),(143,211),(143,227),(143,259),(143,343),(144,184),(144,204),(144,212),(144,228),(144,260),(144,343),(145,185),(145,205),(145,213),(145,229),(145,261),(145,343),(146,186),(146,206),(146,214),(146,230),(146,262),(146,343),(147,183),(147,191),(147,215),(147,223),(147,247),(147,344),(148,184),(148,192),(148,216),(148,224),(148,248),(148,344),(149,185),(149,193),(149,217),(149,225),(149,249),(149,344),(150,186),(150,194),(150,218),(150,226),(150,250),(150,344),(151,179),(151,195),(151,219),(151,227),(151,251),(151,344),(152,180),(152,196),(152,220),(152,228),(152,252),(152,344),(153,181),(153,197),(153,221),(153,229),(153,253),(153,344),(154,182),(154,198),(154,222),(154,230),(154,254),(154,344),(155,173),(155,291),(155,311),(155,312),(155,316),(156,174),(156,291),(156,313),(156,314),(156,315),(157,169),(157,231),(157,232),(157,233),(157,234),(157,294),(157,315),(158,170),(158,235),(158,236),(158,237),(158,238),(158,293),(158,315),(159,171),(159,239),(159,240),(159,241),(159,242),(159,293),(159,316),(160,172),(160,243),(160,244),(160,245),(160,246),(160,294),(160,316),(161,281),(161,282),(161,355),(162,283),(162,284),(162,355),(163,281),(163,283),(163,356),(164,282),(164,284),(164,356),(165,285),(165,286),(165,355),(166,287),(166,288),(166,355),(167,285),(167,287),(167,356),(168,286),(168,288),(168,356),(169,263),(169,264),(169,265),(169,266),(169,351),(170,267),(170,268),(170,269),(170,270),(170,351),(171,271),(171,272),(171,273),(171,274),(171,351),(172,275),(172,276),(172,277),(172,278),(172,351),(173,325),(173,326),(173,351),(174,327),(174,328),(174,351),(175,279),(175,325),(175,329),(175,345),(176,280),(176,326),(176,329),(176,346),(177,279),(177,327),(177,330),(177,347),(178,280),(178,328),(178,330),(178,348),(179,281),(179,332),(179,352),(180,282),(180,333),(180,352),(181,283),(181,334),(181,352),(182,284),(182,335),(182,352),(183,285),(183,336),(183,352),(184,286),(184,337),(184,352),(185,287),(185,338),(185,352),(186,288),(186,339),(186,352),(187,331),(187,332),(187,336),(188,331),(188,333),(188,337),(189,331),(189,334),(189,338),(190,331),(190,335),(190,339),(191,285),(191,303),(191,353),(192,286),(192,304),(192,353),(193,287),(193,305),(193,353),(194,288),(194,306),(194,353),(195,281),(195,307),(195,353),(196,282),(196,308),(196,353),(197,283),(197,309),(197,353),(198,284),(198,310),(198,353),(199,281),(199,295),(199,354),(200,282),(200,296),(200,354),(201,283),(201,297),(201,354),(202,284),(202,298),(202,354),(203,285),(203,299),(203,354),(204,286),(204,300),(204,354),(205,287),(205,301),(205,354),(206,288),(206,302),(206,354),(207,295),(207,332),(207,349),(208,296),(208,333),(208,349),(209,297),(209,334),(209,349),(210,298),(210,335),(210,349),(211,299),(211,336),(211,349),(212,300),(212,337),(212,349),(213,301),(213,338),(213,349),(214,302),(214,339),(214,349),(215,303),(215,336),(215,350),(216,304),(216,337),(216,350),(217,305),(217,338),(217,350),(218,306),(218,339),(218,350),(219,307),(219,332),(219,350),(220,308),(220,333),(220,350),(221,309),(221,334),(221,350),(222,310),(222,335),(222,350),(223,295),(223,303),(223,352),(224,296),(224,304),(224,352),(225,297),(225,305),(225,352),(226,298),(226,306),(226,352),(227,299),(227,307),(227,352),(228,300),(228,308),(228,352),(229,301),(229,309),(229,352),(230,302),(230,310),(230,352),(231,247),(231,248),(231,263),(231,321),(231,345),(232,249),(232,250),(232,264),(232,322),(232,345),(233,247),(233,249),(233,265),(233,323),(233,346),(234,248),(234,250),(234,266),(234,324),(234,346),(235,251),(235,252),(235,267),(235,317),(235,345),(236,253),(236,254),(236,268),(236,318),(236,345),(237,251),(237,253),(237,269),(237,319),(237,346),(238,252),(238,254),(238,270),(238,320),(238,346),(239,255),(239,256),(239,271),(239,317),(239,347),(240,257),(240,258),(240,272),(240,318),(240,347),(241,255),(241,257),(241,273),(241,319),(241,348),(242,256),(242,258),(242,274),(242,320),(242,348),(243,259),(243,260),(243,275),(243,321),(243,347),(244,261),(244,262),(244,276),(244,322),(244,347),(245,259),(245,261),(245,277),(245,323),(245,348),(246,260),(246,262),(246,278),(246,324),(246,348),(247,295),(247,336),(247,353),(248,296),(248,337),(248,353),(249,297),(249,338),(249,353),(250,298),(250,339),(250,353),(251,299),(251,332),(251,353),(252,300),(252,333),(252,353),(253,301),(253,334),(253,353),(254,302),(254,335),(254,353),(255,303),(255,332),(255,354),(256,304),(256,333),(256,354),(257,305),(257,334),(257,354),(258,306),(258,335),(258,354),(259,307),(259,336),(259,354),(260,308),(260,337),(260,354),(261,309),(261,338),(261,354),(262,310),(262,339),(262,354),(263,295),(263,296),(263,355),(264,297),(264,298),(264,355),(265,295),(265,297),(265,356),(266,296),(266,298),(266,356),(267,299),(267,300),(267,355),(268,301),(268,302),(268,355),(269,299),(269,301),(269,356),(270,300),(270,302),(270,356),(271,303),(271,304),(271,355),(272,305),(272,306),(272,355),(273,303),(273,305),(273,356),(274,304),(274,306),(274,356),(275,307),(275,308),(275,355),(276,309),(276,310),(276,355),(277,307),(277,309),(277,356),(278,308),(278,310),(278,356),(279,331),(279,355),(280,331),(280,356),(281,357),(282,357),(283,357),(284,357),(285,357),(286,357),(287,357),(288,357),(289,340),(289,345),(289,347),(290,340),(290,346),(290,348),(291,341),(291,342),(291,351),(292,329),(292,330),(292,340),(292,343),(292,344),(293,317),(293,318),(293,319),(293,320),(293,351),(294,321),(294,322),(294,323),(294,324),(294,351),(295,357),(296,357),(297,357),(298,357),(299,357),(300,357),(301,357),(302,357),(303,357),(304,357),(305,357),(306,357),(307,357),(308,357),(309,357),(310,357),(311,325),(311,341),(311,343),(311,347),(312,326),(312,342),(312,343),(312,348),(313,327),(313,341),(313,344),(313,345),(314,328),(314,342),(314,344),(314,346),(315,345),(315,346),(315,351),(316,347),(316,348),(316,351),(317,332),(317,333),(317,355),(318,334),(318,335),(318,355),(319,332),(319,334),(319,356),(320,333),(320,335),(320,356),(321,336),(321,337),(321,355),(322,338),(322,339),(322,355),(323,336),(323,338),(323,356),(324,337),(324,339),(324,356),(325,349),(325,355),(326,349),(326,356),(327,350),(327,355),(328,350),(328,356),(329,331),(329,349),(329,353),(330,331),(330,350),(330,354),(331,357),(332,357),(333,357),(334,357),(335,357),(336,357),(337,357),(338,357),(339,357),(340,353),(340,354),(341,352),(341,355),(342,352),(342,356),(343,349),(343,352),(343,354),(344,350),(344,352),(344,353),(345,353),(345,355),(346,353),(346,356),(347,354),(347,355),(348,354),(348,356),(349,357),(350,357),(351,355),(351,356),(352,357),(353,357),(354,357),(355,357),(356,357)],358)=>45 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(0,13),(1,22),(1,25),(1,33),(1,34),(1,39),(1,40),(1,54),(1,55),(1,67),(1,70),(1,178),(2,21),(2,24),(2,30),(2,32),(2,36),(2,38),(2,53),(2,55),(2,66),(2,69),(2,177),(3,20),(3,23),(3,29),(3,31),(3,35),(3,37),(3,53),(3,54),(3,65),(3,68),(3,176),(4,15),(4,23),(4,32),(4,33),(4,47),(4,49),(4,56),(4,58),(4,59),(4,62),(4,181),(5,16),(5,24),(5,31),(5,34),(5,48),(5,50),(5,57),(5,58),(5,60),(5,63),(5,180),(6,17),(6,25),(6,29),(6,30),(6,51),(6,52),(6,56),(6,57),(6,61),(6,64),(6,179),(7,19),(7,44),(7,45),(7,46),(7,62),(7,63),(7,64),(7,68),(7,69),(7,70),(7,182),(8,18),(8,41),(8,42),(8,43),(8,59),(8,60),(8,61),(8,65),(8,66),(8,67),(8,182),(9,26),(9,27),(9,37),(9,38),(9,41),(9,44),(9,47),(9,48),(9,178),(9,179),(10,26),(10,28),(10,35),(10,39),(10,42),(10,45),(10,49),(10,51),(10,177),(10,180),(11,27),(11,28),(11,36),(11,40),(11,43),(11,46),(11,50),(11,52),(11,176),(11,181),(12,14),(12,18),(12,19),(12,20),(12,21),(12,22),(12,179),(12,180),(12,181),(13,14),(13,15),(13,16),(13,17),(13,176),(13,177),(13,178),(13,182),(14,221),(14,311),(14,312),(14,313),(15,71),(15,73),(15,218),(15,267),(15,268),(15,311),(16,72),(16,73),(16,219),(16,266),(16,269),(16,312),(17,71),(17,72),(17,220),(17,264),(17,265),(17,313),(18,87),(18,88),(18,89),(18,221),(18,270),(18,271),(18,272),(19,90),(19,91),(19,92),(19,221),(19,273),(19,274),(19,275),(20,87),(20,90),(20,101),(20,102),(20,276),(20,278),(20,311),(21,88),(21,91),(21,101),(21,103),(21,277),(21,279),(21,312),(22,89),(22,92),(22,102),(22,103),(22,280),(22,281),(22,313),(23,75),(23,78),(23,134),(23,136),(23,311),(23,314),(23,315),(24,76),(24,79),(24,135),(24,137),(24,312),(24,314),(24,316),(25,77),(25,80),(25,138),(25,139),(25,313),(25,315),(25,316),(26,74),(26,140),(26,143),(26,146),(26,149),(26,329),(26,331),(27,74),(27,141),(27,144),(27,147),(27,150),(27,328),(27,330),(28,74),(28,142),(28,145),(28,148),(28,151),(28,327),(28,332),(29,81),(29,84),(29,104),(29,110),(29,122),(29,264),(29,278),(29,315),(30,81),(30,85),(30,105),(30,111),(30,123),(30,265),(30,279),(30,316),(31,82),(31,84),(31,106),(31,112),(31,124),(31,266),(31,276),(31,314),(32,83),(32,85),(32,107),(32,113),(32,125),(32,267),(32,277),(32,314),(33,83),(33,86),(33,108),(33,114),(33,126),(33,268),(33,281),(33,315),(34,82),(34,86),(34,109),(34,115),(34,127),(34,269),(34,280),(34,316),(35,122),(35,129),(35,136),(35,143),(35,164),(35,170),(35,276),(35,327),(36,123),(36,130),(36,137),(36,144),(36,165),(36,171),(36,277),(36,327),(37,124),(37,128),(37,134),(37,143),(37,166),(37,172),(37,278),(37,328),(38,125),(38,128),(38,135),(38,144),(38,167),(38,173),(38,279),(38,329),(39,126),(39,129),(39,139),(39,145),(39,168),(39,174),(39,280),(39,329),(40,127),(40,130),(40,138),(40,145),(40,169),(40,175),(40,281),(40,328),(41,146),(41,147),(41,152),(41,153),(41,166),(41,167),(41,270),(41,326),(42,146),(42,148),(42,154),(42,156),(42,164),(42,168),(42,271),(42,325),(43,147),(43,148),(43,155),(43,157),(43,165),(43,169),(43,272),(43,324),(44,149),(44,150),(44,160),(44,161),(44,172),(44,173),(44,275),(44,326),(45,149),(45,151),(45,158),(45,163),(45,170),(45,174),(45,274),(45,325),(46,150),(46,151),(46,159),(46,162),(46,171),(46,175),(46,273),(46,324),(47,125),(47,133),(47,134),(47,140),(47,152),(47,160),(47,268),(47,330),(48,124),(48,133),(48,135),(48,141),(48,153),(48,161),(48,269),(48,331),(49,126),(49,131),(49,136),(49,140),(49,154),(49,158),(49,267),(49,332),(50,127),(50,132),(50,137),(50,141),(50,155),(50,159),(50,266),(50,332),(51,122),(51,131),(51,139),(51,142),(51,156),(51,163),(51,265),(51,331),(52,123),(52,132),(52,138),(52,142),(52,157),(52,162),(52,264),(52,330),(53,81),(53,93),(53,101),(53,118),(53,121),(53,128),(53,314),(53,327),(54,82),(54,93),(54,102),(54,116),(54,119),(54,129),(54,315),(54,328),(55,83),(55,93),(55,103),(55,117),(55,120),(55,130),(55,316),(55,329),(56,71),(56,85),(56,94),(56,95),(56,98),(56,131),(56,315),(56,330),(57,72),(57,84),(57,94),(57,96),(57,99),(57,132),(57,316),(57,331),(58,73),(58,86),(58,94),(58,97),(58,100),(58,133),(58,314),(58,332),(59,75),(59,95),(59,97),(59,107),(59,108),(59,152),(59,154),(59,218),(59,272),(60,76),(60,96),(60,97),(60,106),(60,109),(60,153),(60,155),(60,219),(60,271),(61,77),(61,95),(61,96),(61,104),(61,105),(61,156),(61,157),(61,220),(61,270),(62,78),(62,98),(62,100),(62,113),(62,114),(62,158),(62,160),(62,218),(62,273),(63,79),(63,99),(63,100),(63,112),(63,115),(63,159),(63,161),(63,219),(63,274),(64,80),(64,98),(64,99),(64,110),(64,111),(64,162),(64,163),(64,220),(64,275),(65,75),(65,87),(65,104),(65,106),(65,116),(65,118),(65,164),(65,166),(65,324),(66,76),(66,88),(66,105),(66,107),(66,117),(66,118),(66,165),(66,167),(66,325),(67,77),(67,89),(67,108),(67,109),(67,116),(67,117),(67,168),(67,169),(67,326),(68,78),(68,90),(68,110),(68,112),(68,119),(68,121),(68,170),(68,172),(68,324),(69,79),(69,91),(69,111),(69,113),(69,120),(69,121),(69,171),(69,173),(69,325),(70,80),(70,92),(70,114),(70,115),(70,119),(70,120),(70,174),(70,175),(70,326),(71,183),(71,283),(71,300),(71,391),(72,183),(72,282),(72,301),(72,392),(73,183),(73,284),(73,302),(73,393),(74,212),(74,213),(74,378),(74,383),(75,188),(75,190),(75,339),(75,340),(75,375),(76,189),(76,191),(76,339),(76,341),(76,376),(77,192),(77,193),(77,340),(77,341),(77,377),(78,194),(78,196),(78,342),(78,343),(78,375),(79,195),(79,197),(79,342),(79,344),(79,376),(80,198),(80,199),(80,343),(80,344),(80,377),(81,260),(81,263),(81,299),(81,338),(81,382),(82,258),(82,261),(82,297),(82,336),(82,382),(83,259),(83,262),(83,298),(83,337),(83,382),(84,240),(84,243),(84,282),(84,351),(84,382),(85,241),(85,244),(85,283),(85,352),(85,382),(86,242),(86,245),(86,284),(86,353),(86,382),(87,246),(87,247),(87,285),(87,287),(87,375),(88,246),(88,248),(88,286),(88,288),(88,376),(89,247),(89,248),(89,289),(89,290),(89,377),(90,249),(90,250),(90,291),(90,293),(90,375),(91,249),(91,251),(91,292),(91,294),(91,376),(92,250),(92,251),(92,295),(92,296),(92,377),(93,184),(93,214),(93,215),(93,378),(93,382),(94,183),(94,216),(94,217),(94,382),(94,383),(95,200),(95,216),(95,241),(95,300),(95,340),(95,345),(96,201),(96,216),(96,240),(96,301),(96,341),(96,346),(97,202),(97,216),(97,242),(97,302),(97,339),(97,347),(98,203),(98,217),(98,244),(98,300),(98,343),(98,348),(99,204),(99,217),(99,243),(99,301),(99,344),(99,349),(100,205),(100,217),(100,245),(100,302),(100,342),(100,350),(101,184),(101,246),(101,249),(101,299),(101,393),(102,184),(102,247),(102,250),(102,297),(102,391),(103,184),(103,248),(103,251),(103,298),(103,392),(104,222),(104,240),(104,260),(104,287),(104,340),(104,354),(105,223),(105,241),(105,260),(105,288),(105,341),(105,355),(106,224),(106,240),(106,258),(106,285),(106,339),(106,356),(107,225),(107,241),(107,259),(107,286),(107,339),(107,357),(108,226),(108,242),(108,259),(108,290),(108,340),(108,358),(109,227),(109,242),(109,258),(109,289),(109,341),(109,359),(110,228),(110,243),(110,263),(110,291),(110,343),(110,354),(111,229),(111,244),(111,263),(111,292),(111,344),(111,355),(112,230),(112,243),(112,261),(112,293),(112,342),(112,356),(113,231),(113,244),(113,262),(113,294),(113,342),(113,357),(114,232),(114,245),(114,262),(114,295),(114,343),(114,358),(115,233),(115,245),(115,261),(115,296),(115,344),(115,359),(116,214),(116,247),(116,252),(116,258),(116,340),(116,380),(117,214),(117,248),(117,253),(117,259),(117,341),(117,381),(118,214),(118,246),(118,254),(118,260),(118,339),(118,379),(119,215),(119,250),(119,255),(119,261),(119,343),(119,380),(120,215),(120,251),(120,256),(120,262),(120,344),(120,381),(121,215),(121,249),(121,257),(121,263),(121,342),(121,379),(122,222),(122,228),(122,334),(122,338),(122,351),(123,223),(123,229),(123,335),(123,338),(123,352),(124,224),(124,230),(124,333),(124,336),(124,351),(125,225),(125,231),(125,333),(125,337),(125,352),(126,226),(126,232),(126,334),(126,337),(126,353),(127,227),(127,233),(127,335),(127,336),(127,353),(128,254),(128,257),(128,299),(128,333),(128,378),(129,252),(129,255),(129,297),(129,334),(129,378),(130,253),(130,256),(130,298),(130,335),(130,378),(131,200),(131,203),(131,283),(131,334),(131,383),(132,201),(132,204),(132,282),(132,335),(132,383),(133,202),(133,205),(133,284),(133,333),(133,383),(134,185),(134,188),(134,194),(134,333),(134,391),(135,186),(135,189),(135,195),(135,333),(135,392),(136,185),(136,190),(136,196),(136,334),(136,393),(137,186),(137,191),(137,197),(137,335),(137,393),(138,187),(138,192),(138,198),(138,335),(138,391),(139,187),(139,193),(139,199),(139,334),(139,392),(140,185),(140,206),(140,209),(140,337),(140,383),(141,186),(141,207),(141,210),(141,336),(141,383),(142,187),(142,208),(142,211),(142,338),(142,383),(143,185),(143,234),(143,237),(143,351),(143,378),(144,186),(144,235),(144,238),(144,352),(144,378),(145,187),(145,236),(145,239),(145,353),(145,378),(146,206),(146,212),(146,234),(146,346),(146,381),(147,207),(147,212),(147,235),(147,345),(147,380),(148,208),(148,212),(148,236),(148,347),(148,379),(149,209),(149,213),(149,237),(149,349),(149,381),(150,210),(150,213),(150,238),(150,348),(150,380),(151,211),(151,213),(151,239),(151,350),(151,379),(152,188),(152,202),(152,206),(152,225),(152,345),(152,358),(153,189),(153,202),(153,207),(153,224),(153,346),(153,359),(154,190),(154,200),(154,206),(154,226),(154,347),(154,357),(155,191),(155,201),(155,207),(155,227),(155,347),(155,356),(156,193),(156,200),(156,208),(156,222),(156,346),(156,355),(157,192),(157,201),(157,208),(157,223),(157,345),(157,354),(158,196),(158,203),(158,209),(158,232),(158,350),(158,357),(159,197),(159,204),(159,210),(159,233),(159,350),(159,356),(160,194),(160,205),(160,209),(160,231),(160,348),(160,358),(161,195),(161,205),(161,210),(161,230),(161,349),(161,359),(162,198),(162,204),(162,211),(162,229),(162,348),(162,354),(163,199),(163,203),(163,211),(163,228),(163,349),(163,355),(164,190),(164,222),(164,234),(164,252),(164,285),(164,379),(165,191),(165,223),(165,235),(165,253),(165,286),(165,379),(166,188),(166,224),(166,234),(166,254),(166,287),(166,380),(167,189),(167,225),(167,235),(167,254),(167,288),(167,381),(168,193),(168,226),(168,236),(168,252),(168,289),(168,381),(169,192),(169,227),(169,236),(169,253),(169,290),(169,380),(170,196),(170,228),(170,237),(170,255),(170,293),(170,379),(171,197),(171,229),(171,238),(171,256),(171,294),(171,379),(172,194),(172,230),(172,237),(172,257),(172,291),(172,380),(173,195),(173,231),(173,238),(173,257),(173,292),(173,381),(174,199),(174,232),(174,239),(174,255),(174,296),(174,381),(175,198),(175,233),(175,239),(175,256),(175,295),(175,380),(176,264),(176,266),(176,311),(176,324),(176,327),(176,328),(177,265),(177,267),(177,312),(177,325),(177,327),(177,329),(178,268),(178,269),(178,313),(178,326),(178,328),(178,329),(179,270),(179,275),(179,278),(179,279),(179,313),(179,330),(179,331),(180,271),(180,274),(180,276),(180,280),(180,312),(180,331),(180,332),(181,272),(181,273),(181,277),(181,281),(181,311),(181,330),(181,332),(182,218),(182,219),(182,220),(182,221),(182,324),(182,325),(182,326),(183,317),(183,398),(184,309),(184,310),(184,398),(185,303),(185,306),(185,398),(186,304),(186,307),(186,398),(187,305),(187,308),(187,398),(188,303),(188,369),(188,395),(189,304),(189,369),(189,396),(190,303),(190,370),(190,397),(191,304),(191,371),(191,397),(192,305),(192,371),(192,395),(193,305),(193,370),(193,396),(194,306),(194,372),(194,395),(195,307),(195,372),(195,396),(196,306),(196,373),(196,397),(197,307),(197,374),(197,397),(198,308),(198,374),(198,395),(199,308),(199,373),(199,396),(200,361),(200,370),(200,389),(201,360),(201,371),(201,389),(202,362),(202,369),(202,389),(203,361),(203,373),(203,390),(204,360),(204,374),(204,390),(205,362),(205,372),(205,390),(206,303),(206,385),(206,389),(207,304),(207,384),(207,389),(208,305),(208,386),(208,389),(209,306),(209,385),(209,390),(210,307),(210,384),(210,390),(211,308),(211,386),(211,390),(212,389),(212,394),(213,390),(213,394),(214,309),(214,387),(214,394),(215,310),(215,388),(215,394),(216,317),(216,387),(216,389),(217,317),(217,388),(217,390),(218,300),(218,302),(218,357),(218,358),(218,375),(219,301),(219,302),(219,356),(219,359),(219,376),(220,300),(220,301),(220,354),(220,355),(220,377),(221,375),(221,376),(221,377),(222,363),(222,370),(222,386),(223,364),(223,371),(223,386),(224,363),(224,369),(224,384),(225,364),(225,369),(225,385),(226,365),(226,370),(226,385),(227,365),(227,371),(227,384),(228,366),(228,373),(228,386),(229,367),(229,374),(229,386),(230,366),(230,372),(230,384),(231,367),(231,372),(231,385),(232,368),(232,373),(232,385),(233,368),(233,374),(233,384),(234,303),(234,363),(234,394),(235,304),(235,364),(235,394),(236,305),(236,365),(236,394),(237,306),(237,366),(237,394),(238,307),(238,367),(238,394),(239,308),(239,368),(239,394),(240,360),(240,363),(240,387),(241,361),(241,364),(241,387),(242,362),(242,365),(242,387),(243,360),(243,366),(243,388),(244,361),(244,367),(244,388),(245,362),(245,368),(245,388),(246,309),(246,320),(246,397),(247,309),(247,318),(247,395),(248,309),(248,319),(248,396),(249,310),(249,323),(249,397),(250,310),(250,321),(250,395),(251,310),(251,322),(251,396),(252,318),(252,370),(252,394),(253,319),(253,371),(253,394),(254,320),(254,369),(254,394),(255,321),(255,373),(255,394),(256,322),(256,374),(256,394),(257,323),(257,372),(257,394),(258,318),(258,384),(258,387),(259,319),(259,385),(259,387),(260,320),(260,386),(260,387),(261,321),(261,384),(261,388),(262,322),(262,385),(262,388),(263,323),(263,386),(263,388),(264,282),(264,338),(264,354),(264,391),(265,283),(265,338),(265,355),(265,392),(266,282),(266,336),(266,356),(266,393),(267,283),(267,337),(267,357),(267,393),(268,284),(268,337),(268,358),(268,391),(269,284),(269,336),(269,359),(269,392),(270,287),(270,288),(270,345),(270,346),(270,377),(271,285),(271,289),(271,346),(271,347),(271,376),(272,286),(272,290),(272,345),(272,347),(272,375),(273,294),(273,295),(273,348),(273,350),(273,375),(274,293),(274,296),(274,349),(274,350),(274,376),(275,291),(275,292),(275,348),(275,349),(275,377),(276,285),(276,293),(276,297),(276,351),(276,393),(277,286),(277,294),(277,298),(277,352),(277,393),(278,287),(278,291),(278,299),(278,351),(278,391),(279,288),(279,292),(279,299),(279,352),(279,392),(280,289),(280,296),(280,297),(280,353),(280,392),(281,290),(281,295),(281,298),(281,353),(281,391),(282,360),(282,398),(283,361),(283,398),(284,362),(284,398),(285,318),(285,363),(285,397),(286,319),(286,364),(286,397),(287,320),(287,363),(287,395),(288,320),(288,364),(288,396),(289,318),(289,365),(289,396),(290,319),(290,365),(290,395),(291,323),(291,366),(291,395),(292,323),(292,367),(292,396),(293,321),(293,366),(293,397),(294,322),(294,367),(294,397),(295,322),(295,368),(295,395),(296,321),(296,368),(296,396),(297,318),(297,321),(297,398),(298,319),(298,322),(298,398),(299,320),(299,323),(299,398),(300,317),(300,361),(300,395),(301,317),(301,360),(301,396),(302,317),(302,362),(302,397),(303,399),(304,399),(305,399),(306,399),(307,399),(308,399),(309,399),(310,399),(311,375),(311,391),(311,393),(312,376),(312,392),(312,393),(313,377),(313,391),(313,392),(314,333),(314,339),(314,342),(314,382),(314,393),(315,334),(315,340),(315,343),(315,382),(315,391),(316,335),(316,341),(316,344),(316,382),(316,392),(317,399),(318,399),(319,399),(320,399),(321,399),(322,399),(323,399),(324,354),(324,356),(324,375),(324,379),(324,380),(325,355),(325,357),(325,376),(325,379),(325,381),(326,358),(326,359),(326,377),(326,380),(326,381),(327,338),(327,378),(327,379),(327,393),(328,336),(328,378),(328,380),(328,391),(329,337),(329,378),(329,381),(329,392),(330,345),(330,348),(330,352),(330,383),(330,391),(331,346),(331,349),(331,351),(331,383),(331,392),(332,347),(332,350),(332,353),(332,383),(332,393),(333,369),(333,372),(333,398),(334,370),(334,373),(334,398),(335,371),(335,374),(335,398),(336,384),(336,398),(337,385),(337,398),(338,386),(338,398),(339,369),(339,387),(339,397),(340,370),(340,387),(340,395),(341,371),(341,387),(341,396),(342,372),(342,388),(342,397),(343,373),(343,388),(343,395),(344,374),(344,388),(344,396),(345,364),(345,389),(345,395),(346,363),(346,389),(346,396),(347,365),(347,389),(347,397),(348,367),(348,390),(348,395),(349,366),(349,390),(349,396),(350,368),(350,390),(350,397),(351,363),(351,366),(351,398),(352,364),(352,367),(352,398),(353,365),(353,368),(353,398),(354,360),(354,386),(354,395),(355,361),(355,386),(355,396),(356,360),(356,384),(356,397),(357,361),(357,385),(357,397),(358,362),(358,385),(358,395),(359,362),(359,384),(359,396),(360,399),(361,399),(362,399),(363,399),(364,399),(365,399),(366,399),(367,399),(368,399),(369,399),(370,399),(371,399),(372,399),(373,399),(374,399),(375,395),(375,397),(376,396),(376,397),(377,395),(377,396),(378,394),(378,398),(379,386),(379,394),(379,397),(380,384),(380,394),(380,395),(381,385),(381,394),(381,396),(382,387),(382,388),(382,398),(383,389),(383,390),(383,398),(384,399),(385,399),(386,399),(387,399),(388,399),(389,399),(390,399),(391,395),(391,398),(392,396),(392,398),(393,397),(393,398),(394,399),(395,399),(396,399),(397,399),(398,399)],400)=>26 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(0,13),(0,14),(1,20),(1,21),(1,49),(1,50),(1,51),(1,67),(1,68),(1,69),(1,70),(1,71),(1,72),(1,95),(2,18),(2,19),(2,46),(2,47),(2,48),(2,61),(2,62),(2,63),(2,64),(2,65),(2,66),(2,95),(3,24),(3,32),(3,33),(3,38),(3,39),(3,53),(3,54),(3,63),(3,69),(3,179),(3,185),(4,23),(4,29),(4,31),(4,35),(4,37),(4,52),(4,54),(4,62),(4,68),(4,178),(4,184),(5,22),(5,28),(5,30),(5,34),(5,36),(5,52),(5,53),(5,61),(5,67),(5,177),(5,183),(6,27),(6,30),(6,31),(6,40),(6,41),(6,55),(6,56),(6,64),(6,70),(6,179),(6,180),(7,26),(7,28),(7,32),(7,42),(7,44),(7,55),(7,57),(7,65),(7,71),(7,178),(7,181),(8,25),(8,29),(8,33),(8,43),(8,45),(8,56),(8,57),(8,66),(8,72),(8,177),(8,182),(9,17),(9,36),(9,37),(9,42),(9,43),(9,46),(9,49),(9,58),(9,59),(9,180),(9,185),(10,16),(10,34),(10,38),(10,40),(10,45),(10,47),(10,50),(10,58),(10,60),(10,181),(10,184),(11,15),(11,35),(11,39),(11,41),(11,44),(11,48),(11,51),(11,59),(11,60),(11,182),(11,183),(12,19),(12,21),(12,25),(12,26),(12,27),(12,73),(12,183),(12,184),(12,185),(13,18),(13,20),(13,22),(13,23),(13,24),(13,73),(13,180),(13,181),(13,182),(14,15),(14,16),(14,17),(14,73),(14,95),(14,177),(14,178),(14,179),(15,74),(15,76),(15,186),(15,273),(15,274),(15,357),(16,75),(16,76),(16,187),(16,272),(16,275),(16,358),(17,74),(17,75),(17,188),(17,270),(17,271),(17,359),(18,77),(18,78),(18,79),(18,258),(18,259),(18,260),(18,328),(19,80),(19,81),(19,82),(19,261),(19,262),(19,263),(19,328),(20,83),(20,84),(20,85),(20,264),(20,265),(20,266),(20,328),(21,86),(21,87),(21,88),(21,267),(21,268),(21,269),(21,328),(22,77),(22,83),(22,96),(22,97),(22,276),(22,278),(22,357),(23,78),(23,84),(23,96),(23,98),(23,277),(23,279),(23,358),(24,79),(24,85),(24,97),(24,98),(24,280),(24,281),(24,359),(25,80),(25,86),(25,99),(25,101),(25,285),(25,286),(25,357),(26,81),(26,87),(26,100),(26,101),(26,284),(26,287),(26,358),(27,82),(27,88),(27,99),(27,100),(27,282),(27,283),(27,359),(28,141),(28,149),(28,166),(28,168),(28,171),(28,276),(28,284),(28,351),(29,142),(29,150),(29,167),(29,169),(29,172),(29,277),(29,285),(29,351),(30,143),(30,147),(30,165),(30,168),(30,173),(30,278),(30,282),(30,352),(31,144),(31,148),(31,165),(31,169),(31,174),(31,279),(31,283),(31,353),(32,145),(32,151),(32,166),(32,170),(32,175),(32,280),(32,287),(32,353),(33,146),(33,152),(33,167),(33,170),(33,176),(33,281),(33,286),(33,352),(34,117),(34,129),(34,153),(34,160),(34,173),(34,272),(34,276),(34,348),(35,118),(35,130),(35,154),(35,161),(35,174),(35,273),(35,277),(35,348),(36,119),(36,131),(36,153),(36,159),(36,171),(36,270),(36,278),(36,349),(37,120),(37,132),(37,154),(37,159),(37,172),(37,271),(37,279),(37,350),(38,121),(38,133),(38,155),(38,160),(38,176),(38,275),(38,280),(38,350),(39,122),(39,134),(39,155),(39,161),(39,175),(39,274),(39,281),(39,349),(40,123),(40,135),(40,158),(40,163),(40,173),(40,275),(40,283),(40,346),(41,124),(41,136),(41,158),(41,162),(41,174),(41,274),(41,282),(41,345),(42,125),(42,137),(42,156),(42,164),(42,171),(42,271),(42,287),(42,346),(43,126),(43,138),(43,157),(43,164),(43,172),(43,270),(43,286),(43,345),(44,127),(44,139),(44,156),(44,162),(44,175),(44,273),(44,284),(44,347),(45,128),(45,140),(45,157),(45,163),(45,176),(45,272),(45,285),(45,347),(46,89),(46,90),(46,119),(46,120),(46,125),(46,126),(46,188),(46,258),(46,263),(47,89),(47,91),(47,117),(47,121),(47,123),(47,128),(47,187),(47,259),(47,262),(48,90),(48,91),(48,118),(48,122),(48,124),(48,127),(48,186),(48,260),(48,261),(49,92),(49,93),(49,131),(49,132),(49,137),(49,138),(49,188),(49,266),(49,269),(50,92),(50,94),(50,129),(50,133),(50,135),(50,140),(50,187),(50,265),(50,268),(51,93),(51,94),(51,130),(51,134),(51,136),(51,139),(51,186),(51,264),(51,267),(52,96),(52,103),(52,107),(52,113),(52,159),(52,165),(52,348),(52,351),(53,97),(53,103),(53,105),(53,111),(53,160),(53,166),(53,349),(53,352),(54,98),(54,103),(54,106),(54,112),(54,161),(54,167),(54,350),(54,353),(55,100),(55,104),(55,108),(55,114),(55,162),(55,168),(55,346),(55,353),(56,99),(56,104),(56,109),(56,115),(56,163),(56,169),(56,345),(56,352),(57,101),(57,104),(57,110),(57,116),(57,164),(57,170),(57,347),(57,351),(58,75),(58,89),(58,92),(58,102),(58,153),(58,157),(58,346),(58,350),(59,74),(59,90),(59,93),(59,102),(59,154),(59,156),(59,345),(59,349),(60,76),(60,91),(60,94),(60,102),(60,155),(60,158),(60,347),(60,348),(61,77),(61,105),(61,107),(61,117),(61,119),(61,141),(61,143),(61,261),(61,329),(62,78),(62,106),(62,107),(62,118),(62,120),(62,142),(62,144),(62,262),(62,330),(63,79),(63,105),(63,106),(63,121),(63,122),(63,145),(63,146),(63,263),(63,331),(64,82),(64,108),(64,109),(64,123),(64,124),(64,143),(64,144),(64,258),(64,331),(65,81),(65,108),(65,110),(65,125),(65,127),(65,141),(65,145),(65,259),(65,330),(66,80),(66,109),(66,110),(66,126),(66,128),(66,142),(66,146),(66,260),(66,329),(67,83),(67,111),(67,113),(67,129),(67,131),(67,147),(67,149),(67,267),(67,329),(68,84),(68,112),(68,113),(68,130),(68,132),(68,148),(68,150),(68,268),(68,330),(69,85),(69,111),(69,112),(69,133),(69,134),(69,151),(69,152),(69,269),(69,331),(70,88),(70,114),(70,115),(70,135),(70,136),(70,147),(70,148),(70,266),(70,331),(71,87),(71,114),(71,116),(71,137),(71,139),(71,149),(71,151),(71,265),(71,330),(72,86),(72,115),(72,116),(72,138),(72,140),(72,150),(72,152),(72,264),(72,329),(73,328),(73,357),(73,358),(73,359),(74,189),(74,289),(74,321),(74,415),(75,189),(75,288),(75,322),(75,416),(76,189),(76,290),(76,323),(76,417),(77,222),(77,223),(77,297),(77,299),(77,405),(78,222),(78,224),(78,298),(78,300),(78,406),(79,223),(79,224),(79,301),(79,302),(79,407),(80,225),(80,227),(80,306),(80,307),(80,405),(81,226),(81,227),(81,305),(81,308),(81,406),(82,225),(82,226),(82,303),(82,304),(82,407),(83,228),(83,229),(83,309),(83,311),(83,405),(84,228),(84,230),(84,310),(84,312),(84,406),(85,229),(85,230),(85,313),(85,314),(85,407),(86,231),(86,233),(86,318),(86,319),(86,405),(87,232),(87,233),(87,317),(87,320),(87,406),(88,231),(88,232),(88,315),(88,316),(88,407),(89,196),(89,198),(89,202),(89,322),(89,373),(89,377),(90,196),(90,199),(90,201),(90,321),(90,372),(90,376),(91,196),(91,200),(91,203),(91,323),(91,374),(91,375),(92,197),(92,204),(92,208),(92,322),(92,379),(92,383),(93,197),(93,205),(93,207),(93,321),(93,378),(93,382),(94,197),(94,206),(94,209),(94,323),(94,380),(94,381),(95,186),(95,187),(95,188),(95,328),(95,329),(95,330),(95,331),(96,190),(96,222),(96,228),(96,293),(96,417),(97,190),(97,223),(97,229),(97,291),(97,415),(98,190),(98,224),(98,230),(98,292),(98,416),(99,191),(99,225),(99,231),(99,295),(99,415),(100,191),(100,226),(100,232),(100,294),(100,416),(101,191),(101,227),(101,233),(101,296),(101,417),(102,189),(102,196),(102,197),(102,403),(102,404),(103,190),(103,192),(103,194),(103,399),(103,404),(104,191),(104,193),(104,195),(104,399),(104,403),(105,192),(105,223),(105,235),(105,247),(105,376),(105,401),(106,192),(106,224),(106,236),(106,248),(106,377),(106,402),(107,192),(107,222),(107,234),(107,246),(107,375),(107,400),(108,193),(108,226),(108,237),(108,249),(108,373),(108,402),(109,193),(109,225),(109,238),(109,250),(109,372),(109,401),(110,193),(110,227),(110,239),(110,251),(110,374),(110,400),(111,194),(111,229),(111,241),(111,253),(111,382),(111,401),(112,194),(112,230),(112,242),(112,254),(112,383),(112,402),(113,194),(113,228),(113,240),(113,252),(113,381),(113,400),(114,195),(114,232),(114,243),(114,255),(114,379),(114,402),(115,195),(115,231),(115,244),(115,256),(115,378),(115,401),(116,195),(116,233),(116,245),(116,257),(116,380),(116,400),(117,198),(117,212),(117,235),(117,297),(117,368),(117,375),(118,199),(118,213),(118,236),(118,298),(118,369),(118,375),(119,198),(119,210),(119,234),(119,299),(119,366),(119,376),(120,199),(120,211),(120,234),(120,300),(120,367),(120,377),(121,200),(121,215),(121,235),(121,301),(121,371),(121,377),(122,200),(122,214),(122,236),(122,302),(122,370),(122,376),(123,203),(123,212),(123,238),(123,304),(123,371),(123,373),(124,203),(124,213),(124,237),(124,303),(124,370),(124,372),(125,201),(125,210),(125,239),(125,308),(125,367),(125,373),(126,202),(126,211),(126,239),(126,307),(126,366),(126,372),(127,201),(127,214),(127,237),(127,305),(127,369),(127,374),(128,202),(128,215),(128,238),(128,306),(128,368),(128,374),(129,204),(129,216),(129,241),(129,311),(129,368),(129,381),(130,205),(130,217),(130,242),(130,312),(130,369),(130,381),(131,204),(131,218),(131,240),(131,309),(131,366),(131,382),(132,205),(132,219),(132,240),(132,310),(132,367),(132,383),(133,206),(133,221),(133,241),(133,314),(133,371),(133,383),(134,206),(134,220),(134,242),(134,313),(134,370),(134,382),(135,209),(135,216),(135,244),(135,316),(135,371),(135,379),(136,209),(136,217),(136,243),(136,315),(136,370),(136,378),(137,207),(137,218),(137,245),(137,320),(137,367),(137,379),(138,208),(138,219),(138,245),(138,319),(138,366),(138,378),(139,207),(139,220),(139,243),(139,317),(139,369),(139,380),(140,208),(140,221),(140,244),(140,318),(140,368),(140,380),(141,210),(141,247),(141,249),(141,297),(141,305),(141,400),(142,211),(142,248),(142,250),(142,298),(142,306),(142,400),(143,212),(143,246),(143,249),(143,299),(143,303),(143,401),(144,213),(144,246),(144,250),(144,300),(144,304),(144,402),(145,214),(145,247),(145,251),(145,301),(145,308),(145,402),(146,215),(146,248),(146,251),(146,302),(146,307),(146,401),(147,216),(147,252),(147,255),(147,309),(147,315),(147,401),(148,217),(148,252),(148,256),(148,310),(148,316),(148,402),(149,218),(149,253),(149,255),(149,311),(149,317),(149,400),(150,219),(150,254),(150,256),(150,312),(150,318),(150,400),(151,220),(151,253),(151,257),(151,314),(151,320),(151,402),(152,221),(152,254),(152,257),(152,313),(152,319),(152,401),(153,198),(153,204),(153,288),(153,360),(153,404),(154,199),(154,205),(154,289),(154,361),(154,404),(155,200),(155,206),(155,290),(155,362),(155,404),(156,201),(156,207),(156,289),(156,363),(156,403),(157,202),(157,208),(157,288),(157,364),(157,403),(158,203),(158,209),(158,290),(158,365),(158,403),(159,234),(159,240),(159,293),(159,354),(159,404),(160,235),(160,241),(160,291),(160,355),(160,404),(161,236),(161,242),(161,292),(161,356),(161,404),(162,237),(162,243),(162,294),(162,356),(162,403),(163,238),(163,244),(163,295),(163,355),(163,403),(164,239),(164,245),(164,296),(164,354),(164,403),(165,246),(165,252),(165,293),(165,365),(165,399),(166,247),(166,253),(166,291),(166,363),(166,399),(167,248),(167,254),(167,292),(167,364),(167,399),(168,249),(168,255),(168,294),(168,360),(168,399),(169,250),(169,256),(169,295),(169,361),(169,399),(170,251),(170,257),(170,296),(170,362),(170,399),(171,210),(171,218),(171,354),(171,360),(171,363),(172,211),(172,219),(172,354),(172,361),(172,364),(173,212),(173,216),(173,355),(173,360),(173,365),(174,213),(174,217),(174,356),(174,361),(174,365),(175,214),(175,220),(175,356),(175,362),(175,363),(176,215),(176,221),(176,355),(176,362),(176,364),(177,270),(177,272),(177,329),(177,351),(177,352),(177,357),(178,271),(178,273),(178,330),(178,351),(178,353),(178,358),(179,274),(179,275),(179,331),(179,352),(179,353),(179,359),(180,258),(180,266),(180,278),(180,279),(180,345),(180,346),(180,359),(181,259),(181,265),(181,276),(181,280),(181,346),(181,347),(181,358),(182,260),(182,264),(182,277),(182,281),(182,345),(182,347),(182,357),(183,261),(183,267),(183,282),(183,284),(183,348),(183,349),(183,357),(184,262),(184,268),(184,283),(184,285),(184,348),(184,350),(184,358),(185,263),(185,269),(185,286),(185,287),(185,349),(185,350),(185,359),(186,321),(186,323),(186,369),(186,370),(186,405),(187,322),(187,323),(187,368),(187,371),(187,406),(188,321),(188,322),(188,366),(188,367),(188,407),(189,332),(189,422),(190,324),(190,326),(190,422),(191,325),(191,327),(191,422),(192,324),(192,409),(192,418),(193,325),(193,408),(193,418),(194,326),(194,411),(194,418),(195,327),(195,410),(195,418),(196,332),(196,408),(196,409),(197,332),(197,410),(197,411),(198,384),(198,387),(198,409),(199,385),(199,388),(199,409),(200,386),(200,389),(200,409),(201,385),(201,391),(201,408),(202,384),(202,392),(202,408),(203,386),(203,390),(203,408),(204,384),(204,393),(204,411),(205,385),(205,394),(205,411),(206,386),(206,395),(206,411),(207,385),(207,397),(207,410),(208,384),(208,398),(208,410),(209,386),(209,396),(209,410),(210,387),(210,391),(210,412),(211,388),(211,392),(211,412),(212,387),(212,390),(212,413),(213,388),(213,390),(213,414),(214,389),(214,391),(214,414),(215,389),(215,392),(215,413),(216,393),(216,396),(216,413),(217,394),(217,396),(217,414),(218,393),(218,397),(218,412),(219,394),(219,398),(219,412),(220,395),(220,397),(220,414),(221,395),(221,398),(221,413),(222,324),(222,335),(222,421),(223,324),(223,333),(223,419),(224,324),(224,334),(224,420),(225,325),(225,337),(225,419),(226,325),(226,336),(226,420),(227,325),(227,338),(227,421),(228,326),(228,341),(228,421),(229,326),(229,339),(229,419),(230,326),(230,340),(230,420),(231,327),(231,343),(231,419),(232,327),(232,342),(232,420),(233,327),(233,344),(233,421),(234,335),(234,409),(234,412),(235,333),(235,409),(235,413),(236,334),(236,409),(236,414),(237,336),(237,408),(237,414),(238,337),(238,408),(238,413),(239,338),(239,408),(239,412),(240,341),(240,411),(240,412),(241,339),(241,411),(241,413),(242,340),(242,411),(242,414),(243,342),(243,410),(243,414),(244,343),(244,410),(244,413),(245,344),(245,410),(245,412),(246,335),(246,390),(246,418),(247,333),(247,391),(247,418),(248,334),(248,392),(248,418),(249,336),(249,387),(249,418),(250,337),(250,388),(250,418),(251,338),(251,389),(251,418),(252,341),(252,396),(252,418),(253,339),(253,397),(253,418),(254,340),(254,398),(254,418),(255,342),(255,393),(255,418),(256,343),(256,394),(256,418),(257,344),(257,395),(257,418),(258,299),(258,300),(258,372),(258,373),(258,407),(259,297),(259,301),(259,373),(259,374),(259,406),(260,298),(260,302),(260,372),(260,374),(260,405),(261,303),(261,305),(261,375),(261,376),(261,405),(262,304),(262,306),(262,375),(262,377),(262,406),(263,307),(263,308),(263,376),(263,377),(263,407),(264,312),(264,313),(264,378),(264,380),(264,405),(265,311),(265,314),(265,379),(265,380),(265,406),(266,309),(266,310),(266,378),(266,379),(266,407),(267,315),(267,317),(267,381),(267,382),(267,405),(268,316),(268,318),(268,381),(268,383),(268,406),(269,319),(269,320),(269,382),(269,383),(269,407),(270,288),(270,354),(270,366),(270,415),(271,289),(271,354),(271,367),(271,416),(272,288),(272,355),(272,368),(272,417),(273,289),(273,356),(273,369),(273,417),(274,290),(274,356),(274,370),(274,415),(275,290),(275,355),(275,371),(275,416),(276,291),(276,297),(276,311),(276,360),(276,417),(277,292),(277,298),(277,312),(277,361),(277,417),(278,293),(278,299),(278,309),(278,360),(278,415),(279,293),(279,300),(279,310),(279,361),(279,416),(280,291),(280,301),(280,314),(280,362),(280,416),(281,292),(281,302),(281,313),(281,362),(281,415),(282,294),(282,303),(282,315),(282,365),(282,415),(283,295),(283,304),(283,316),(283,365),(283,416),(284,294),(284,305),(284,317),(284,363),(284,417),(285,295),(285,306),(285,318),(285,364),(285,417),(286,296),(286,307),(286,319),(286,364),(286,415),(287,296),(287,308),(287,320),(287,363),(287,416),(288,384),(288,422),(289,385),(289,422),(290,386),(290,422),(291,333),(291,339),(291,422),(292,334),(292,340),(292,422),(293,335),(293,341),(293,422),(294,336),(294,342),(294,422),(295,337),(295,343),(295,422),(296,338),(296,344),(296,422),(297,333),(297,387),(297,421),(298,334),(298,388),(298,421),(299,335),(299,387),(299,419),(300,335),(300,388),(300,420),(301,333),(301,389),(301,420),(302,334),(302,389),(302,419),(303,336),(303,390),(303,419),(304,337),(304,390),(304,420),(305,336),(305,391),(305,421),(306,337),(306,392),(306,421),(307,338),(307,392),(307,419),(308,338),(308,391),(308,420),(309,341),(309,393),(309,419),(310,341),(310,394),(310,420),(311,339),(311,393),(311,421),(312,340),(312,394),(312,421),(313,340),(313,395),(313,419),(314,339),(314,395),(314,420),(315,342),(315,396),(315,419),(316,343),(316,396),(316,420),(317,342),(317,397),(317,421),(318,343),(318,398),(318,421),(319,344),(319,398),(319,419),(320,344),(320,397),(320,420),(321,332),(321,385),(321,419),(322,332),(322,384),(322,420),(323,332),(323,386),(323,421),(324,423),(325,423),(326,423),(327,423),(328,405),(328,406),(328,407),(329,366),(329,368),(329,400),(329,401),(329,405),(330,367),(330,369),(330,400),(330,402),(330,406),(331,370),(331,371),(331,401),(331,402),(331,407),(332,423),(333,423),(334,423),(335,423),(336,423),(337,423),(338,423),(339,423),(340,423),(341,423),(342,423),(343,423),(344,423),(345,361),(345,372),(345,378),(345,403),(345,415),(346,360),(346,373),(346,379),(346,403),(346,416),(347,362),(347,374),(347,380),(347,403),(347,417),(348,365),(348,375),(348,381),(348,404),(348,417),(349,363),(349,376),(349,382),(349,404),(349,415),(350,364),(350,377),(350,383),(350,404),(350,416),(351,354),(351,399),(351,400),(351,417),(352,355),(352,399),(352,401),(352,415),(353,356),(353,399),(353,402),(353,416),(354,412),(354,422),(355,413),(355,422),(356,414),(356,422),(357,405),(357,415),(357,417),(358,406),(358,416),(358,417),(359,407),(359,415),(359,416),(360,387),(360,393),(360,422),(361,388),(361,394),(361,422),(362,389),(362,395),(362,422),(363,391),(363,397),(363,422),(364,392),(364,398),(364,422),(365,390),(365,396),(365,422),(366,384),(366,412),(366,419),(367,385),(367,412),(367,420),(368,384),(368,413),(368,421),(369,385),(369,414),(369,421),(370,386),(370,414),(370,419),(371,386),(371,413),(371,420),(372,388),(372,408),(372,419),(373,387),(373,408),(373,420),(374,389),(374,408),(374,421),(375,390),(375,409),(375,421),(376,391),(376,409),(376,419),(377,392),(377,409),(377,420),(378,394),(378,410),(378,419),(379,393),(379,410),(379,420),(380,395),(380,410),(380,421),(381,396),(381,411),(381,421),(382,397),(382,411),(382,419),(383,398),(383,411),(383,420),(384,423),(385,423),(386,423),(387,423),(388,423),(389,423),(390,423),(391,423),(392,423),(393,423),(394,423),(395,423),(396,423),(397,423),(398,423),(399,418),(399,422),(400,412),(400,418),(400,421),(401,413),(401,418),(401,419),(402,414),(402,418),(402,420),(403,408),(403,410),(403,422),(404,409),(404,411),(404,422),(405,419),(405,421),(406,420),(406,421),(407,419),(407,420),(408,423),(409,423),(410,423),(411,423),(412,423),(413,423),(414,423),(415,419),(415,422),(416,420),(416,422),(417,421),(417,422),(418,423),(419,423),(420,423),(421,423),(422,423)],424)=>44 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(0,13),(0,14),(1,19),(1,27),(1,43),(1,44),(1,45),(1,55),(1,56),(1,57),(1,73),(1,74),(1,75),(1,221),(2,18),(2,26),(2,38),(2,39),(2,42),(2,48),(2,53),(2,54),(2,71),(2,72),(2,75),(2,220),(3,17),(3,25),(3,35),(3,37),(3,41),(3,47),(3,50),(3,52),(3,70),(3,72),(3,74),(3,219),(4,16),(4,24),(4,34),(4,36),(4,40),(4,46),(4,49),(4,51),(4,70),(4,71),(4,73),(4,218),(5,20),(5,24),(5,37),(5,38),(5,43),(5,58),(5,61),(5,63),(5,76),(5,78),(5,79),(5,217),(6,21),(6,25),(6,36),(6,39),(6,44),(6,59),(6,62),(6,64),(6,77),(6,78),(6,80),(6,216),(7,22),(7,26),(7,34),(7,35),(7,45),(7,60),(7,65),(7,66),(7,76),(7,77),(7,81),(7,215),(8,23),(8,27),(8,40),(8,41),(8,42),(8,67),(8,68),(8,69),(8,79),(8,80),(8,81),(8,214),(9,28),(9,29),(9,30),(9,46),(9,47),(9,48),(9,58),(9,59),(9,60),(9,214),(9,221),(10,28),(10,31),(10,32),(10,51),(10,52),(10,57),(10,61),(10,62),(10,67),(10,215),(10,220),(11,29),(11,31),(11,33),(11,49),(11,53),(11,56),(11,63),(11,65),(11,68),(11,216),(11,219),(12,30),(12,32),(12,33),(12,50),(12,54),(12,55),(12,64),(12,66),(12,69),(12,217),(12,218),(13,15),(13,20),(13,21),(13,22),(13,23),(13,218),(13,219),(13,220),(13,221),(14,15),(14,16),(14,17),(14,18),(14,19),(14,214),(14,215),(14,216),(14,217),(15,383),(15,384),(15,385),(15,386),(16,82),(16,83),(16,85),(16,323),(16,326),(16,328),(16,383),(17,82),(17,84),(17,86),(17,324),(17,327),(17,329),(17,384),(18,83),(18,84),(18,87),(18,325),(18,330),(18,331),(18,385),(19,85),(19,86),(19,87),(19,332),(19,333),(19,334),(19,386),(20,88),(20,90),(20,91),(20,338),(20,339),(20,344),(20,383),(21,89),(21,90),(21,92),(21,337),(21,340),(21,345),(21,384),(22,88),(22,89),(22,93),(22,335),(22,336),(22,346),(22,385),(23,91),(23,92),(23,93),(23,341),(23,342),(23,343),(23,386),(24,130),(24,132),(24,136),(24,377),(24,378),(24,380),(24,383),(25,131),(25,133),(25,137),(25,377),(25,379),(25,381),(25,384),(26,134),(26,135),(26,138),(26,378),(26,379),(26,382),(26,385),(27,139),(27,140),(27,141),(27,380),(27,381),(27,382),(27,386),(28,94),(28,95),(28,192),(28,193),(28,207),(28,208),(28,400),(28,406),(29,95),(29,96),(29,190),(29,194),(29,205),(29,210),(29,399),(29,405),(30,94),(30,96),(30,191),(30,195),(30,206),(30,209),(30,398),(30,404),(31,95),(31,97),(31,196),(31,200),(31,202),(31,212),(31,396),(31,403),(32,94),(32,97),(32,197),(32,199),(32,203),(32,211),(32,395),(32,402),(33,96),(33,97),(33,198),(33,201),(33,204),(33,213),(33,397),(33,401),(34,101),(34,104),(34,110),(34,116),(34,142),(34,148),(34,328),(34,335),(34,378),(35,101),(35,105),(35,111),(35,117),(35,143),(35,149),(35,329),(35,336),(35,379),(36,102),(36,106),(36,112),(36,116),(36,144),(36,150),(36,326),(36,337),(36,377),(37,103),(37,107),(37,113),(37,117),(37,145),(37,151),(37,327),(37,338),(37,377),(38,103),(38,108),(38,114),(38,118),(38,146),(38,152),(38,331),(38,339),(38,378),(39,102),(39,109),(39,115),(39,118),(39,147),(39,153),(39,330),(39,340),(39,379),(40,98),(40,99),(40,110),(40,112),(40,154),(40,156),(40,323),(40,341),(40,380),(41,98),(41,100),(41,111),(41,113),(41,155),(41,157),(41,324),(41,342),(41,381),(42,99),(42,100),(42,114),(42,115),(42,158),(42,159),(42,325),(42,343),(42,382),(43,107),(43,108),(43,119),(43,121),(43,160),(43,162),(43,334),(43,344),(43,380),(44,106),(44,109),(44,120),(44,121),(44,161),(44,163),(44,333),(44,345),(44,381),(45,104),(45,105),(45,119),(45,120),(45,164),(45,165),(45,332),(45,346),(45,382),(46,136),(46,142),(46,144),(46,169),(46,170),(46,190),(46,192),(46,323),(46,404),(47,137),(47,143),(47,145),(47,169),(47,171),(47,191),(47,193),(47,324),(47,405),(48,138),(48,146),(48,147),(48,170),(48,171),(48,194),(48,195),(48,325),(48,406),(49,132),(49,148),(49,154),(49,167),(49,174),(49,190),(49,196),(49,326),(49,401),(50,133),(50,149),(50,155),(50,168),(50,175),(50,191),(50,197),(50,327),(50,401),(51,130),(51,150),(51,156),(51,166),(51,172),(51,192),(51,196),(51,328),(51,402),(52,131),(52,151),(52,157),(52,166),(52,173),(52,193),(52,197),(52,329),(52,403),(53,135),(53,152),(53,158),(53,167),(53,177),(53,194),(53,198),(53,330),(53,403),(54,134),(54,153),(54,159),(54,168),(54,176),(54,195),(54,198),(54,331),(54,402),(55,139),(55,163),(55,165),(55,175),(55,176),(55,199),(55,201),(55,334),(55,404),(56,140),(56,162),(56,164),(56,174),(56,177),(56,200),(56,201),(56,333),(56,405),(57,141),(57,160),(57,161),(57,172),(57,173),(57,199),(57,200),(57,332),(57,406),(58,136),(58,145),(58,146),(58,178),(58,180),(58,205),(58,207),(58,344),(58,398),(59,137),(59,144),(59,147),(59,179),(59,180),(59,206),(59,208),(59,345),(59,399),(60,138),(60,142),(60,143),(60,178),(60,179),(60,209),(60,210),(60,346),(60,400),(61,130),(61,151),(61,160),(61,183),(61,184),(61,202),(61,207),(61,339),(61,395),(62,131),(62,150),(62,161),(62,183),(62,185),(62,203),(62,208),(62,340),(62,396),(63,132),(63,152),(63,162),(63,181),(63,186),(63,202),(63,205),(63,338),(63,397),(64,133),(64,153),(64,163),(64,182),(64,187),(64,203),(64,206),(64,337),(64,397),(65,135),(65,148),(65,164),(65,181),(65,188),(65,204),(65,210),(65,336),(65,396),(66,134),(66,149),(66,165),(66,182),(66,189),(66,204),(66,209),(66,335),(66,395),(67,141),(67,156),(67,157),(67,184),(67,185),(67,211),(67,212),(67,343),(67,400),(68,140),(68,154),(68,158),(68,186),(68,188),(68,212),(68,213),(68,342),(68,399),(69,139),(69,155),(69,159),(69,187),(69,189),(69,211),(69,213),(69,341),(69,398),(70,82),(70,98),(70,101),(70,122),(70,125),(70,166),(70,169),(70,377),(70,401),(71,83),(71,99),(71,102),(71,122),(71,123),(71,167),(71,170),(71,378),(71,402),(72,84),(72,100),(72,103),(72,122),(72,124),(72,168),(72,171),(72,379),(72,403),(73,85),(73,104),(73,106),(73,123),(73,125),(73,172),(73,174),(73,380),(73,404),(74,86),(74,105),(74,107),(74,124),(74,125),(74,173),(74,175),(74,381),(74,405),(75,87),(75,108),(75,109),(75,123),(75,124),(75,176),(75,177),(75,382),(75,406),(76,88),(76,117),(76,119),(76,126),(76,129),(76,178),(76,181),(76,378),(76,395),(77,89),(77,116),(77,120),(77,127),(77,129),(77,179),(77,182),(77,379),(77,396),(78,90),(78,118),(78,121),(78,128),(78,129),(78,180),(78,183),(78,377),(78,397),(79,91),(79,113),(79,114),(79,126),(79,128),(79,184),(79,186),(79,380),(79,398),(80,92),(80,112),(80,115),(80,127),(80,128),(80,185),(80,187),(80,381),(80,399),(81,93),(81,110),(81,111),(81,126),(81,127),(81,188),(81,189),(81,382),(81,400),(82,234),(82,237),(82,349),(82,352),(82,487),(83,234),(83,235),(83,347),(83,350),(83,485),(84,234),(84,236),(84,348),(84,351),(84,486),(85,235),(85,237),(85,353),(85,355),(85,488),(86,236),(86,237),(86,354),(86,356),(86,489),(87,235),(87,236),(87,357),(87,358),(87,490),(88,238),(88,241),(88,366),(88,368),(88,485),(89,239),(89,241),(89,365),(89,369),(89,486),(90,240),(90,241),(90,367),(90,370),(90,487),(91,238),(91,240),(91,362),(91,363),(91,488),(92,239),(92,240),(92,361),(92,364),(92,489),(93,238),(93,239),(93,359),(93,360),(93,490),(94,252),(94,262),(94,266),(94,461),(94,466),(95,252),(95,261),(95,265),(95,462),(95,467),(96,252),(96,263),(96,267),(96,463),(96,468),(97,252),(97,264),(97,268),(97,464),(97,465),(98,253),(98,295),(98,319),(98,352),(98,421),(98,472),(99,253),(99,293),(99,317),(99,350),(99,419),(99,470),(100,253),(100,294),(100,318),(100,351),(100,420),(100,471),(101,256),(101,298),(101,319),(101,349),(101,424),(101,469),(102,254),(102,296),(102,317),(102,347),(102,422),(102,469),(103,255),(103,297),(103,318),(103,348),(103,423),(103,469),(104,256),(104,299),(104,320),(104,355),(104,425),(104,470),(105,256),(105,300),(105,321),(105,356),(105,426),(105,471),(106,254),(106,301),(106,320),(106,353),(106,427),(106,472),(107,255),(107,302),(107,321),(107,354),(107,428),(107,472),(108,255),(108,303),(108,322),(108,358),(108,429),(108,470),(109,254),(109,304),(109,322),(109,357),(109,430),(109,471),(110,257),(110,305),(110,319),(110,359),(110,407),(110,470),(111,258),(111,306),(111,319),(111,360),(111,408),(111,471),(112,257),(112,307),(112,317),(112,361),(112,409),(112,472),(113,258),(113,308),(113,318),(113,362),(113,410),(113,472),(114,259),(114,309),(114,318),(114,363),(114,411),(114,470),(115,259),(115,310),(115,317),(115,364),(115,412),(115,471),(116,257),(116,311),(116,320),(116,365),(116,413),(116,469),(117,258),(117,312),(117,321),(117,366),(117,414),(117,469),(118,259),(118,313),(118,322),(118,367),(118,415),(118,469),(119,260),(119,314),(119,321),(119,368),(119,416),(119,470),(120,260),(120,315),(120,320),(120,369),(120,417),(120,471),(121,260),(121,316),(121,322),(121,370),(121,418),(121,472),(122,234),(122,242),(122,250),(122,253),(122,465),(122,469),(123,235),(123,243),(123,250),(123,254),(123,466),(123,470),(124,236),(124,244),(124,250),(124,255),(124,467),(124,471),(125,237),(125,245),(125,250),(125,256),(125,468),(125,472),(126,238),(126,246),(126,251),(126,258),(126,461),(126,470),(127,239),(127,247),(127,251),(127,257),(127,462),(127,471),(128,240),(128,248),(128,251),(128,259),(128,463),(128,472),(129,241),(129,249),(129,251),(129,260),(129,464),(129,469),(130,222),(130,228),(130,434),(130,437),(130,485),(131,223),(131,229),(131,434),(131,438),(131,486),(132,224),(132,228),(132,435),(132,439),(132,487),(133,225),(133,229),(133,436),(133,440),(133,487),(134,226),(134,230),(134,436),(134,441),(134,485),(135,227),(135,230),(135,435),(135,442),(135,486),(136,222),(136,224),(136,431),(136,432),(136,488),(137,223),(137,225),(137,431),(137,433),(137,489),(138,226),(138,227),(138,432),(138,433),(138,490),(139,231),(139,233),(139,440),(139,441),(139,488),(140,232),(140,233),(140,439),(140,442),(140,489),(141,231),(141,232),(141,437),(141,438),(141,490),(142,269),(142,298),(142,311),(142,407),(142,425),(142,432),(143,270),(143,298),(143,312),(143,408),(143,426),(143,433),(144,271),(144,296),(144,311),(144,409),(144,427),(144,431),(145,272),(145,297),(145,312),(145,410),(145,428),(145,431),(146,273),(146,297),(146,313),(146,411),(146,429),(146,432),(147,274),(147,296),(147,313),(147,412),(147,430),(147,433),(148,269),(148,299),(148,305),(148,413),(148,424),(148,435),(149,270),(149,300),(149,306),(149,414),(149,424),(149,436),(150,271),(150,301),(150,307),(150,413),(150,422),(150,434),(151,272),(151,302),(151,308),(151,414),(151,423),(151,434),(152,273),(152,303),(152,309),(152,415),(152,423),(152,435),(153,274),(153,304),(153,310),(153,415),(153,422),(153,436),(154,275),(154,293),(154,305),(154,409),(154,421),(154,439),(155,276),(155,294),(155,306),(155,410),(155,421),(155,440),(156,275),(156,295),(156,307),(156,407),(156,419),(156,437),(157,276),(157,295),(157,308),(157,408),(157,420),(157,438),(158,277),(158,293),(158,309),(158,412),(158,420),(158,442),(159,277),(159,294),(159,310),(159,411),(159,419),(159,441),(160,278),(160,302),(160,316),(160,416),(160,429),(160,437),(161,279),(161,301),(161,316),(161,417),(161,430),(161,438),(162,278),(162,303),(162,314),(162,418),(162,428),(162,439),(163,279),(163,304),(163,315),(163,418),(163,427),(163,440),(164,280),(164,299),(164,314),(164,417),(164,426),(164,442),(165,280),(165,300),(165,315),(165,416),(165,425),(165,441),(166,245),(166,283),(166,295),(166,349),(166,434),(166,465),(167,243),(167,281),(167,293),(167,347),(167,435),(167,465),(168,244),(168,282),(168,294),(168,348),(168,436),(168,465),(169,242),(169,283),(169,298),(169,352),(169,431),(169,468),(170,242),(170,281),(170,296),(170,350),(170,432),(170,466),(171,242),(171,282),(171,297),(171,351),(171,433),(171,467),(172,245),(172,284),(172,301),(172,355),(172,437),(172,466),(173,245),(173,285),(173,302),(173,356),(173,438),(173,467),(174,243),(174,284),(174,299),(174,353),(174,439),(174,468),(175,244),(175,285),(175,300),(175,354),(175,440),(175,468),(176,244),(176,286),(176,304),(176,358),(176,441),(176,466),(177,243),(177,286),(177,303),(177,357),(177,442),(177,467),(178,249),(178,287),(178,312),(178,368),(178,432),(178,461),(179,249),(179,288),(179,311),(179,369),(179,433),(179,462),(180,249),(180,289),(180,313),(180,370),(180,431),(180,463),(181,246),(181,287),(181,314),(181,366),(181,435),(181,464),(182,247),(182,288),(182,315),(182,365),(182,436),(182,464),(183,248),(183,289),(183,316),(183,367),(183,434),(183,464),(184,248),(184,290),(184,308),(184,363),(184,437),(184,461),(185,248),(185,291),(185,307),(185,364),(185,438),(185,462),(186,246),(186,290),(186,309),(186,362),(186,439),(186,463),(187,247),(187,291),(187,310),(187,361),(187,440),(187,463),(188,246),(188,292),(188,305),(188,360),(188,442),(188,462),(189,247),(189,292),(189,306),(189,359),(189,441),(189,461),(190,224),(190,261),(190,269),(190,281),(190,409),(190,468),(191,225),(191,262),(191,270),(191,282),(191,410),(191,468),(192,222),(192,261),(192,271),(192,283),(192,407),(192,466),(193,223),(193,262),(193,272),(193,283),(193,408),(193,467),(194,227),(194,263),(194,273),(194,281),(194,412),(194,467),(195,226),(195,263),(195,274),(195,282),(195,411),(195,466),(196,228),(196,261),(196,275),(196,284),(196,413),(196,465),(197,229),(197,262),(197,276),(197,285),(197,414),(197,465),(198,230),(198,263),(198,277),(198,286),(198,415),(198,465),(199,231),(199,264),(199,279),(199,285),(199,416),(199,466),(200,232),(200,264),(200,278),(200,284),(200,417),(200,467),(201,233),(201,264),(201,280),(201,286),(201,418),(201,468),(202,228),(202,265),(202,278),(202,290),(202,423),(202,464),(203,229),(203,266),(203,279),(203,291),(203,422),(203,464),(204,230),(204,267),(204,280),(204,292),(204,424),(204,464),(205,224),(205,265),(205,273),(205,287),(205,428),(205,463),(206,225),(206,266),(206,274),(206,288),(206,427),(206,463),(207,222),(207,265),(207,272),(207,289),(207,429),(207,461),(208,223),(208,266),(208,271),(208,289),(208,430),(208,462),(209,226),(209,267),(209,270),(209,288),(209,425),(209,461),(210,227),(210,267),(210,269),(210,287),(210,426),(210,462),(211,231),(211,268),(211,276),(211,291),(211,419),(211,461),(212,232),(212,268),(212,275),(212,290),(212,420),(212,462),(213,233),(213,268),(213,277),(213,292),(213,421),(213,463),(214,323),(214,324),(214,325),(214,386),(214,398),(214,399),(214,400),(215,328),(215,329),(215,332),(215,385),(215,395),(215,396),(215,400),(216,326),(216,330),(216,333),(216,384),(216,396),(216,397),(216,399),(217,327),(217,331),(217,334),(217,383),(217,395),(217,397),(217,398),(218,335),(218,337),(218,341),(218,383),(218,401),(218,402),(218,404),(219,336),(219,338),(219,342),(219,384),(219,401),(219,403),(219,405),(220,339),(220,340),(220,343),(220,385),(220,402),(220,403),(220,406),(221,344),(221,345),(221,346),(221,386),(221,404),(221,405),(221,406),(222,373),(222,455),(222,494),(223,374),(223,455),(223,495),(224,373),(224,456),(224,496),(225,374),(225,457),(225,496),(226,375),(226,457),(226,494),(227,375),(227,456),(227,495),(228,373),(228,458),(228,497),(229,374),(229,459),(229,497),(230,375),(230,460),(230,497),(231,376),(231,459),(231,494),(232,376),(232,458),(232,495),(233,376),(233,460),(233,496),(234,371),(234,390),(234,497),(235,371),(235,387),(235,494),(236,371),(236,388),(236,495),(237,371),(237,389),(237,496),(238,372),(238,392),(238,494),(239,372),(239,391),(239,495),(240,372),(240,393),(240,496),(241,372),(241,394),(241,497),(242,390),(242,473),(242,493),(243,387),(243,474),(243,493),(244,388),(244,475),(244,493),(245,389),(245,476),(245,493),(246,392),(246,474),(246,492),(247,391),(247,475),(247,492),(248,393),(248,476),(248,492),(249,394),(249,473),(249,492),(250,371),(250,491),(250,493),(251,372),(251,491),(251,492),(252,492),(252,493),(253,390),(253,484),(253,491),(254,387),(254,481),(254,491),(255,388),(255,482),(255,491),(256,389),(256,483),(256,491),(257,391),(257,477),(257,491),(258,392),(258,478),(258,491),(259,393),(259,479),(259,491),(260,394),(260,480),(260,491),(261,373),(261,477),(261,493),(262,374),(262,478),(262,493),(263,375),(263,479),(263,493),(264,376),(264,480),(264,493),(265,373),(265,482),(265,492),(266,374),(266,481),(266,492),(267,375),(267,483),(267,492),(268,376),(268,484),(268,492),(269,456),(269,477),(269,483),(270,457),(270,478),(270,483),(271,455),(271,477),(271,481),(272,455),(272,478),(272,482),(273,456),(273,479),(273,482),(274,457),(274,479),(274,481),(275,458),(275,477),(275,484),(276,459),(276,478),(276,484),(277,460),(277,479),(277,484),(278,458),(278,480),(278,482),(279,459),(279,480),(279,481),(280,460),(280,480),(280,483),(281,443),(281,456),(281,493),(282,444),(282,457),(282,493),(283,445),(283,455),(283,493),(284,446),(284,458),(284,493),(285,447),(285,459),(285,493),(286,448),(286,460),(286,493),(287,453),(287,456),(287,492),(288,452),(288,457),(288,492),(289,454),(289,455),(289,492),(290,450),(290,458),(290,492),(291,449),(291,459),(291,492),(292,451),(292,460),(292,492),(293,443),(293,474),(293,484),(294,444),(294,475),(294,484),(295,445),(295,476),(295,484),(296,443),(296,473),(296,481),(297,444),(297,473),(297,482),(298,445),(298,473),(298,483),(299,446),(299,474),(299,483),(300,447),(300,475),(300,483),(301,446),(301,476),(301,481),(302,447),(302,476),(302,482),(303,448),(303,474),(303,482),(304,448),(304,475),(304,481),(305,451),(305,474),(305,477),(306,451),(306,475),(306,478),(307,449),(307,476),(307,477),(308,450),(308,476),(308,478),(309,450),(309,474),(309,479),(310,449),(310,475),(310,479),(311,452),(311,473),(311,477),(312,453),(312,473),(312,478),(313,454),(313,473),(313,479),(314,453),(314,474),(314,480),(315,452),(315,475),(315,480),(316,454),(316,476),(316,480),(317,443),(317,449),(317,491),(318,444),(318,450),(318,491),(319,445),(319,451),(319,491),(320,446),(320,452),(320,491),(321,447),(321,453),(321,491),(322,448),(322,454),(322,491),(323,350),(323,352),(323,407),(323,409),(323,488),(324,351),(324,352),(324,408),(324,410),(324,489),(325,350),(325,351),(325,411),(325,412),(325,490),(326,347),(326,353),(326,409),(326,413),(326,487),(327,348),(327,354),(327,410),(327,414),(327,487),(328,349),(328,355),(328,407),(328,413),(328,485),(329,349),(329,356),(329,408),(329,414),(329,486),(330,347),(330,357),(330,412),(330,415),(330,486),(331,348),(331,358),(331,411),(331,415),(331,485),(332,355),(332,356),(332,416),(332,417),(332,490),(333,353),(333,357),(333,417),(333,418),(333,489),(334,354),(334,358),(334,416),(334,418),(334,488),(335,359),(335,365),(335,424),(335,425),(335,485),(336,360),(336,366),(336,424),(336,426),(336,486),(337,361),(337,365),(337,422),(337,427),(337,487),(338,362),(338,366),(338,423),(338,428),(338,487),(339,363),(339,367),(339,423),(339,429),(339,485),(340,364),(340,367),(340,422),(340,430),(340,486),(341,359),(341,361),(341,419),(341,421),(341,488),(342,360),(342,362),(342,420),(342,421),(342,489),(343,363),(343,364),(343,419),(343,420),(343,490),(344,368),(344,370),(344,428),(344,429),(344,488),(345,369),(345,370),(345,427),(345,430),(345,489),(346,368),(346,369),(346,425),(346,426),(346,490),(347,387),(347,443),(347,497),(348,388),(348,444),(348,497),(349,389),(349,445),(349,497),(350,390),(350,443),(350,494),(351,390),(351,444),(351,495),(352,390),(352,445),(352,496),(353,387),(353,446),(353,496),(354,388),(354,447),(354,496),(355,389),(355,446),(355,494),(356,389),(356,447),(356,495),(357,387),(357,448),(357,495),(358,388),(358,448),(358,494),(359,391),(359,451),(359,494),(360,392),(360,451),(360,495),(361,391),(361,449),(361,496),(362,392),(362,450),(362,496),(363,393),(363,450),(363,494),(364,393),(364,449),(364,495),(365,391),(365,452),(365,497),(366,392),(366,453),(366,497),(367,393),(367,454),(367,497),(368,394),(368,453),(368,494),(369,394),(369,452),(369,495),(370,394),(370,454),(370,496),(371,498),(372,498),(373,498),(374,498),(375,498),(376,498),(377,431),(377,434),(377,469),(377,472),(377,487),(378,432),(378,435),(378,469),(378,470),(378,485),(379,433),(379,436),(379,469),(379,471),(379,486),(380,437),(380,439),(380,470),(380,472),(380,488),(381,438),(381,440),(381,471),(381,472),(381,489),(382,441),(382,442),(382,470),(382,471),(382,490),(383,485),(383,487),(383,488),(384,486),(384,487),(384,489),(385,485),(385,486),(385,490),(386,488),(386,489),(386,490),(387,498),(388,498),(389,498),(390,498),(391,498),(392,498),(393,498),(394,498),(395,414),(395,416),(395,461),(395,464),(395,485),(396,413),(396,417),(396,462),(396,464),(396,486),(397,415),(397,418),(397,463),(397,464),(397,487),(398,410),(398,411),(398,461),(398,463),(398,488),(399,409),(399,412),(399,462),(399,463),(399,489),(400,407),(400,408),(400,461),(400,462),(400,490),(401,421),(401,424),(401,465),(401,468),(401,487),(402,419),(402,422),(402,465),(402,466),(402,485),(403,420),(403,423),(403,465),(403,467),(403,486),(404,425),(404,427),(404,466),(404,468),(404,488),(405,426),(405,428),(405,467),(405,468),(405,489),(406,429),(406,430),(406,466),(406,467),(406,490),(407,445),(407,477),(407,494),(408,445),(408,478),(408,495),(409,443),(409,477),(409,496),(410,444),(410,478),(410,496),(411,444),(411,479),(411,494),(412,443),(412,479),(412,495),(413,446),(413,477),(413,497),(414,447),(414,478),(414,497),(415,448),(415,479),(415,497),(416,447),(416,480),(416,494),(417,446),(417,480),(417,495),(418,448),(418,480),(418,496),(419,449),(419,484),(419,494),(420,450),(420,484),(420,495),(421,451),(421,484),(421,496),(422,449),(422,481),(422,497),(423,450),(423,482),(423,497),(424,451),(424,483),(424,497),(425,452),(425,483),(425,494),(426,453),(426,483),(426,495),(427,452),(427,481),(427,496),(428,453),(428,482),(428,496),(429,454),(429,482),(429,494),(430,454),(430,481),(430,495),(431,455),(431,473),(431,496),(432,456),(432,473),(432,494),(433,457),(433,473),(433,495),(434,455),(434,476),(434,497),(435,456),(435,474),(435,497),(436,457),(436,475),(436,497),(437,458),(437,476),(437,494),(438,459),(438,476),(438,495),(439,458),(439,474),(439,496),(440,459),(440,475),(440,496),(441,460),(441,475),(441,494),(442,460),(442,474),(442,495),(443,498),(444,498),(445,498),(446,498),(447,498),(448,498),(449,498),(450,498),(451,498),(452,498),(453,498),(454,498),(455,498),(456,498),(457,498),(458,498),(459,498),(460,498),(461,478),(461,492),(461,494),(462,477),(462,492),(462,495),(463,479),(463,492),(463,496),(464,480),(464,492),(464,497),(465,484),(465,493),(465,497),(466,481),(466,493),(466,494),(467,482),(467,493),(467,495),(468,483),(468,493),(468,496),(469,473),(469,491),(469,497),(470,474),(470,491),(470,494),(471,475),(471,491),(471,495),(472,476),(472,491),(472,496),(473,498),(474,498),(475,498),(476,498),(477,498),(478,498),(479,498),(480,498),(481,498),(482,498),(483,498),(484,498),(485,494),(485,497),(486,495),(486,497),(487,496),(487,497),(488,494),(488,496),(489,495),(489,496),(490,494),(490,495),(491,498),(492,498),(493,498),(494,498),(495,498),(496,498),(497,498)],499)=>24