Identifier
Images
=>
Cc0014;cc-rep-1
0=>([(0,1)],2)
1=>([(0,1)],2)
00=>([(0,2),(2,1)],3)
01=>([(0,1),(0,2),(1,3),(2,3)],4)
10=>([(0,1),(0,2),(1,3),(2,3)],4)
11=>([(0,2),(2,1)],3)
000=>([(0,3),(2,1),(3,2)],4)
001=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
010=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
011=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
100=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
101=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
110=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
111=>([(0,3),(2,1),(3,2)],4)
0000=>([(0,4),(2,3),(3,1),(4,2)],5)
0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
0010=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
0011=>([(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)
0100=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
0110=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9)
0111=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9)
1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
1011=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
1100=>([(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)
1101=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
1110=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
1111=>([(0,4),(2,3),(3,1),(4,2)],5)
00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
00001=>([(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)
00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
00011=>([(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)
00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)
00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)
00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
00111=>([(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)
01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)
01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)
01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)
01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
01111=>([(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)
10000=>([(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)
10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)
10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)
10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)
10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)
10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)
10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
11000=>([(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)
11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)
11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)
11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)
11100=>([(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)
11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)
11110=>([(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)
11111=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
000111=>([(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)
001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)
001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)
001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)
010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)
010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)
010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)
011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)
011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
011111=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)
100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)
100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)
100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)
101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)
101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)
101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)
101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)
101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)
110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)
110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)
110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)
110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)
110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)
110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
111000=>([(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)
111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)
111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)
111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)
111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)
111110=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
111111=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)
0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)
0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)
0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)
0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)
0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)
0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)
0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)
0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)
0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)
0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)
0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)
0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)
0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)
0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)
0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)
0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)
0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)
0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)
0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)
0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)
0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)
0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)
0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)
0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)
0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)
0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)
0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)
0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)
0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)
0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)
0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)
0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)
0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)
0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)
0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)
0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)
0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)
0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)
0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)
0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)
0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
0111111=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)
1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)
1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)
1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)
1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)
1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)
1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)
1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)
1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)
1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)
1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)
1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)
1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)
1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)
1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)
1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)
1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)
1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)
1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)
1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)
1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)
1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)
1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)
1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)
1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)
1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)
1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)
1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)
1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)
1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)
1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)
1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)
1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)
1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)
1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)
1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)
1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)
1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)
1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)
1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)
1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)
1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)
1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)
1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)
1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)
1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)
1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)
1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)
1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)
1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)
1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)
1111110=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
1111111=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
00000000=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
00000001=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16)
00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21)
00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21)
00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24)
00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)
00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25)
00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24)
00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)
00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25)
00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)
00001011=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)
00001100=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27)
00001101=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27)
00001110=>([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27)
00001111=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25)
00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)
00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24)
00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)
00010011=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27)
00010100=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)
00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)
00010110=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)
00010111=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28)
00011000=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27)
00011001=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27)
00011010=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28)
00011011=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27)
00011100=>([(0,5),(0,6),(1,15),(2,4),(2,25),(2,26),(3,1),(3,16),(3,27),(4,19),(4,20),(5,2),(5,21),(5,22),(6,3),(6,21),(6,22),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,8),(16,9),(17,13),(17,14),(18,8),(18,24),(19,23),(19,24),(20,12),(20,23),(21,26),(21,27),(22,16),(22,25),(23,10),(23,17),(24,11),(24,17),(25,9),(25,20),(26,18),(26,19),(27,15),(27,18)],28)
00011101=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28)
00011110=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27)
00011111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24)
00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24)
00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25)
00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24)
00100011=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27)
00100100=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)
00100101=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)
00100110=>([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27)
00100111=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27)
00101000=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)
00101001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25)
00101010=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)
00101011=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25)
00101100=>([(0,3),(0,4),(1,24),(1,25),(2,14),(2,15),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,8),(7,9),(8,10),(9,12),(10,13),(11,7),(12,5),(13,5),(14,11),(15,6),(16,8),(16,22),(17,11),(17,23),(18,19),(18,23),(19,21),(19,22),(20,12),(20,13),(21,9),(21,20),(22,10),(22,20),(23,7),(23,21),(24,16),(24,19),(25,6),(25,16),(26,14),(26,17),(26,18),(26,24),(27,15),(27,17),(27,18),(27,25)],28)
00101101=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)
00101110=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28)
00101111=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)
00110000=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27)
00110001=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27)
00110010=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27)
00110011=>([(0,3),(0,4),(1,22),(1,24),(2,21),(2,23),(3,2),(3,16),(3,17),(4,1),(4,16),(4,17),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,8),(12,14),(13,9),(13,14),(14,10),(14,11),(15,12),(15,13),(16,21),(16,22),(17,23),(17,24),(18,6),(18,12),(19,7),(19,13),(20,6),(20,7),(21,15),(21,18),(22,15),(22,19),(23,18),(23,20),(24,19),(24,20)],25)
00110100=>([(0,3),(0,4),(1,24),(1,25),(2,14),(2,15),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,8),(7,9),(8,10),(9,12),(10,13),(11,7),(12,5),(13,5),(14,11),(15,6),(16,8),(16,22),(17,11),(17,23),(18,19),(18,23),(19,21),(19,22),(20,12),(20,13),(21,9),(21,20),(22,10),(22,20),(23,7),(23,21),(24,16),(24,19),(25,6),(25,16),(26,14),(26,17),(26,18),(26,24),(27,15),(27,17),(27,18),(27,25)],28)
00110101=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)
00110110=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25)
00110111=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27)
00111000=>([(0,5),(0,6),(1,15),(2,4),(2,25),(2,26),(3,1),(3,16),(3,27),(4,19),(4,20),(5,2),(5,21),(5,22),(6,3),(6,21),(6,22),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,8),(16,9),(17,13),(17,14),(18,8),(18,24),(19,23),(19,24),(20,12),(20,23),(21,26),(21,27),(22,16),(22,25),(23,10),(23,17),(24,11),(24,17),(25,9),(25,20),(26,18),(26,19),(27,15),(27,18)],28)
00111001=>([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27)
00111010=>([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28)
00111011=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27)
00111100=>([(0,5),(0,6),(1,4),(1,25),(1,26),(2,16),(2,17),(3,22),(3,23),(4,3),(4,18),(4,19),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,11),(9,10),(10,12),(11,13),(12,14),(13,15),(14,7),(15,7),(16,9),(17,8),(18,10),(18,22),(19,11),(19,23),(20,16),(20,25),(21,17),(21,26),(22,12),(22,24),(23,13),(23,24),(24,14),(24,15),(25,9),(25,18),(26,8),(26,19)],27)
00111101=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27)
00111110=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25)
00111111=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21)
01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21)
01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)
01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25)
01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27)
01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24)
01000101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26)
01000110=>([(0,4),(0,5),(1,16),(1,23),(2,3),(2,24),(2,25),(3,18),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,10),(17,21),(18,20),(18,21),(19,11),(19,20),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,8),(23,17),(24,7),(24,19),(25,17),(25,18),(26,9),(26,23),(26,25),(27,9),(27,16),(27,24)],28)
01000111=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28)
01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)
01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)
01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)
01001011=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)
01001100=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27)
01001101=>([(0,3),(0,4),(1,23),(1,25),(2,22),(2,24),(3,2),(3,26),(3,27),(4,1),(4,26),(4,27),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,19),(16,20),(17,10),(17,19),(18,11),(18,20),(19,12),(19,21),(20,13),(20,21),(21,14),(21,15),(22,6),(22,17),(23,7),(23,18),(24,16),(24,17),(25,16),(25,18),(26,8),(26,9),(26,24),(26,25),(27,8),(27,9),(27,22),(27,23)],28)
01001110=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28)
01001111=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27)
01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)
01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26)
01010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)
01010011=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)
01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)
01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16)
01010110=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)
01010111=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)
01011000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28)
01011001=>([(0,3),(0,4),(1,23),(1,25),(2,15),(2,24),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,10),(7,8),(8,9),(9,11),(10,12),(11,14),(12,13),(13,5),(14,5),(15,6),(16,20),(16,21),(17,10),(17,20),(18,8),(18,19),(19,9),(19,21),(20,12),(20,22),(21,11),(21,22),(22,13),(22,14),(23,16),(23,19),(24,6),(24,17),(25,16),(25,17),(26,7),(26,18),(26,24),(26,25),(27,7),(27,15),(27,18),(27,23)],28)
01011010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)
01011011=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)
01011100=>([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28)
01011101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26)
01011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)
01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)
01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25)
01100001=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27)
01100010=>([(0,4),(0,5),(1,16),(1,23),(2,3),(2,24),(2,25),(3,18),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,10),(17,21),(18,20),(18,21),(19,11),(19,20),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,8),(23,17),(24,7),(24,19),(25,17),(25,18),(26,9),(26,23),(26,25),(27,9),(27,16),(27,24)],28)
01100011=>([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27)
01100100=>([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27)
01100101=>([(0,3),(0,4),(1,23),(1,25),(2,15),(2,24),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,10),(7,8),(8,9),(9,11),(10,12),(11,14),(12,13),(13,5),(14,5),(15,6),(16,20),(16,21),(17,10),(17,20),(18,8),(18,19),(19,9),(19,21),(20,12),(20,22),(21,11),(21,22),(22,13),(22,14),(23,16),(23,19),(24,6),(24,17),(25,16),(25,17),(26,7),(26,18),(26,24),(26,25),(27,7),(27,15),(27,18),(27,23)],28)
01100110=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,24),(3,1),(3,16),(3,17),(4,2),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,8),(12,14),(13,9),(13,14),(14,10),(14,11),(15,12),(15,13),(16,21),(16,23),(17,22),(17,24),(18,7),(18,12),(19,6),(19,13),(20,6),(20,7),(21,15),(21,18),(22,15),(22,19),(23,18),(23,20),(24,19),(24,20)],25)
01100111=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27)
01101000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)
01101001=>([(0,3),(0,4),(1,15),(1,25),(2,14),(2,24),(3,2),(3,26),(3,27),(4,1),(4,26),(4,27),(6,8),(7,9),(8,10),(9,11),(10,12),(11,13),(12,5),(13,5),(14,6),(15,7),(16,18),(16,23),(17,19),(17,23),(18,8),(18,21),(19,9),(19,22),(20,12),(20,13),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,6),(24,18),(25,7),(25,19),(26,16),(26,17),(26,24),(26,25),(27,14),(27,15),(27,16),(27,17)],28)
01101010=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)
01101011=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25)
01101100=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25)
01101101=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)
01101110=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25)
01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25)
01110000=>([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27)
01110001=>([(0,5),(0,6),(1,4),(1,17),(1,27),(2,3),(2,16),(2,26),(3,8),(3,19),(4,9),(4,20),(5,2),(5,21),(5,22),(6,1),(6,21),(6,22),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,23),(18,24),(19,10),(19,23),(20,11),(20,24),(21,26),(21,27),(22,16),(22,17),(23,12),(23,25),(24,13),(24,25),(25,14),(25,15),(26,18),(26,19),(27,18),(27,20)],28)
01110010=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28)
01110011=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27)
01110100=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28)
01110101=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26)
01110110=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25)
01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24)
01111000=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27)
01111001=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27)
01111010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)
01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25)
01111100=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25)
01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)
01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21)
01111111=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16)
10000000=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16)
10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21)
10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)
10000011=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25)
10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25)
10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)
10000110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27)
10000111=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27)
10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24)
10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25)
10001010=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26)
10001011=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28)
10001100=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27)
10001101=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28)
10001110=>([(0,5),(0,6),(1,4),(1,17),(1,27),(2,3),(2,16),(2,26),(3,8),(3,19),(4,9),(4,20),(5,2),(5,21),(5,22),(6,1),(6,21),(6,22),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,23),(18,24),(19,10),(19,23),(20,11),(20,24),(21,26),(21,27),(22,16),(22,17),(23,12),(23,25),(24,13),(24,25),(25,14),(25,15),(26,18),(26,19),(27,18),(27,20)],28)
10001111=>([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27)
10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25)
10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25)
10010010=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)
10010011=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25)
10010100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25)
10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)
10010110=>([(0,3),(0,4),(1,15),(1,25),(2,14),(2,24),(3,2),(3,26),(3,27),(4,1),(4,26),(4,27),(6,8),(7,9),(8,10),(9,11),(10,12),(11,13),(12,5),(13,5),(14,6),(15,7),(16,18),(16,23),(17,19),(17,23),(18,8),(18,21),(19,9),(19,22),(20,12),(20,13),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,6),(24,18),(25,7),(25,19),(26,16),(26,17),(26,24),(26,25),(27,14),(27,15),(27,16),(27,17)],28)
10010111=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)
10011000=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27)
10011001=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,24),(3,1),(3,16),(3,17),(4,2),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,8),(12,14),(13,9),(13,14),(14,10),(14,11),(15,12),(15,13),(16,21),(16,23),(17,22),(17,24),(18,7),(18,12),(19,6),(19,13),(20,6),(20,7),(21,15),(21,18),(22,15),(22,19),(23,18),(23,20),(24,19),(24,20)],25)
10011010=>([(0,3),(0,4),(1,23),(1,25),(2,15),(2,24),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,10),(7,8),(8,9),(9,11),(10,12),(11,14),(12,13),(13,5),(14,5),(15,6),(16,20),(16,21),(17,10),(17,20),(18,8),(18,19),(19,9),(19,21),(20,12),(20,22),(21,11),(21,22),(22,13),(22,14),(23,16),(23,19),(24,6),(24,17),(25,16),(25,17),(26,7),(26,18),(26,24),(26,25),(27,7),(27,15),(27,18),(27,23)],28)
10011011=>([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27)
10011100=>([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27)
10011101=>([(0,4),(0,5),(1,16),(1,23),(2,3),(2,24),(2,25),(3,18),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,10),(17,21),(18,20),(18,21),(19,11),(19,20),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,8),(23,17),(24,7),(24,19),(25,17),(25,18),(26,9),(26,23),(26,25),(27,9),(27,16),(27,24)],28)
10011110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27)
10011111=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25)
10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)
10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)
10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26)
10100011=>([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28)
10100100=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)
10100101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)
10100110=>([(0,3),(0,4),(1,23),(1,25),(2,15),(2,24),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,10),(7,8),(8,9),(9,11),(10,12),(11,14),(12,13),(13,5),(14,5),(15,6),(16,20),(16,21),(17,10),(17,20),(18,8),(18,19),(19,9),(19,21),(20,12),(20,22),(21,11),(21,22),(22,13),(22,14),(23,16),(23,19),(24,6),(24,17),(25,16),(25,17),(26,7),(26,18),(26,24),(26,25),(27,7),(27,15),(27,18),(27,23)],28)
10100111=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28)
10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)
10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)
10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16)
10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)
10101100=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)
10101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)
10101110=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26)
10101111=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)
10110000=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27)
10110001=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28)
10110010=>([(0,3),(0,4),(1,23),(1,25),(2,22),(2,24),(3,2),(3,26),(3,27),(4,1),(4,26),(4,27),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,19),(16,20),(17,10),(17,19),(18,11),(18,20),(19,12),(19,21),(20,13),(20,21),(21,14),(21,15),(22,6),(22,17),(23,7),(23,18),(24,16),(24,17),(25,16),(25,18),(26,8),(26,9),(26,24),(26,25),(27,8),(27,9),(27,22),(27,23)],28)
10110011=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27)
10110100=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)
10110101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)
10110110=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)
10110111=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)
10111000=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28)
10111001=>([(0,4),(0,5),(1,16),(1,23),(2,3),(2,24),(2,25),(3,18),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,10),(17,21),(18,20),(18,21),(19,11),(19,20),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,8),(23,17),(24,7),(24,19),(25,17),(25,18),(26,9),(26,23),(26,25),(27,9),(27,16),(27,24)],28)
10111010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26)
10111011=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24)
10111100=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27)
10111101=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25)
10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)
10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21)
11000000=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21)
11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25)
11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27)
11000011=>([(0,5),(0,6),(1,4),(1,25),(1,26),(2,16),(2,17),(3,22),(3,23),(4,3),(4,18),(4,19),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,11),(9,10),(10,12),(11,13),(12,14),(13,15),(14,7),(15,7),(16,9),(17,8),(18,10),(18,22),(19,11),(19,23),(20,16),(20,25),(21,17),(21,26),(22,12),(22,24),(23,13),(23,24),(24,14),(24,15),(25,9),(25,18),(26,8),(26,19)],27)
11000100=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27)
11000101=>([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28)
11000110=>([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27)
11000111=>([(0,5),(0,6),(1,15),(2,4),(2,25),(2,26),(3,1),(3,16),(3,27),(4,19),(4,20),(5,2),(5,21),(5,22),(6,3),(6,21),(6,22),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,8),(16,9),(17,13),(17,14),(18,8),(18,24),(19,23),(19,24),(20,12),(20,23),(21,26),(21,27),(22,16),(22,25),(23,10),(23,17),(24,11),(24,17),(25,9),(25,20),(26,18),(26,19),(27,15),(27,18)],28)
11001000=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27)
11001001=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25)
11001010=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)
11001011=>([(0,3),(0,4),(1,24),(1,25),(2,14),(2,15),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,8),(7,9),(8,10),(9,12),(10,13),(11,7),(12,5),(13,5),(14,11),(15,6),(16,8),(16,22),(17,11),(17,23),(18,19),(18,23),(19,21),(19,22),(20,12),(20,13),(21,9),(21,20),(22,10),(22,20),(23,7),(23,21),(24,16),(24,19),(25,6),(25,16),(26,14),(26,17),(26,18),(26,24),(27,15),(27,17),(27,18),(27,25)],28)
11001100=>([(0,3),(0,4),(1,22),(1,24),(2,21),(2,23),(3,2),(3,16),(3,17),(4,1),(4,16),(4,17),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,8),(12,14),(13,9),(13,14),(14,10),(14,11),(15,12),(15,13),(16,21),(16,22),(17,23),(17,24),(18,6),(18,12),(19,7),(19,13),(20,6),(20,7),(21,15),(21,18),(22,15),(22,19),(23,18),(23,20),(24,19),(24,20)],25)
11001101=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27)
11001110=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27)
11001111=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27)
11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)
11010001=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28)
11010010=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)
11010011=>([(0,3),(0,4),(1,24),(1,25),(2,14),(2,15),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,8),(7,9),(8,10),(9,12),(10,13),(11,7),(12,5),(13,5),(14,11),(15,6),(16,8),(16,22),(17,11),(17,23),(18,19),(18,23),(19,21),(19,22),(20,12),(20,13),(21,9),(21,20),(22,10),(22,20),(23,7),(23,21),(24,16),(24,19),(25,6),(25,16),(26,14),(26,17),(26,18),(26,24),(27,15),(27,17),(27,18),(27,25)],28)
11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25)
11010101=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)
11010110=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25)
11010111=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)
11011000=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27)
11011001=>([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27)
11011010=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)
11011011=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)
11011100=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27)
11011101=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24)
11011110=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25)
11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24)
11100000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24)
11100001=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27)
11100010=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28)
11100011=>([(0,5),(0,6),(1,15),(2,4),(2,25),(2,26),(3,1),(3,16),(3,27),(4,19),(4,20),(5,2),(5,21),(5,22),(6,3),(6,21),(6,22),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,8),(16,9),(17,13),(17,14),(18,8),(18,24),(19,23),(19,24),(20,12),(20,23),(21,26),(21,27),(22,16),(22,25),(23,10),(23,17),(24,11),(24,17),(25,9),(25,20),(26,18),(26,19),(27,15),(27,18)],28)
11100100=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27)
11100101=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28)
11100110=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27)
11100111=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27)
11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28)
11101001=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)
11101010=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)
11101011=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)
11101100=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27)
11101101=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)
11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24)
11101111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)
11110000=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25)
11110001=>([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27)
11110010=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27)
11110011=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27)
11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)
11110101=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)
11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25)
11110111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)
11111000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24)
11111001=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25)
11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)
11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24)
11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21)
11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21)
11111110=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16)
11111111=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
000000000=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
000000001=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18)
000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24)
000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24)
000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)
000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)
000000110=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29)
000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28)
000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)
000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30)
000001010=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)
000001011=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)
000001100=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,1),(3,23),(4,29),(4,30),(5,3),(5,17),(5,31),(6,4),(6,24),(6,25),(7,5),(7,24),(7,25),(9,12),(10,13),(11,15),(12,16),(13,14),(14,11),(15,8),(16,8),(17,10),(18,14),(18,26),(19,26),(19,27),(20,15),(20,16),(21,18),(21,19),(22,13),(22,18),(23,19),(23,28),(24,30),(24,31),(25,17),(25,29),(26,11),(26,20),(27,12),(27,20),(28,9),(28,27),(29,10),(29,22),(30,21),(30,22),(31,21),(31,23)],32)
000001101=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32)
000001110=>([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32)
000001111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30)
000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30)
000010001=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30)
000010010=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)
000010011=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33)
000010100=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)
000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)
000010110=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)
000010111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)
000011000=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33)
000011001=>([(0,5),(0,6),(1,16),(2,1),(2,26),(3,29),(3,30),(4,2),(4,31),(4,32),(5,3),(5,23),(5,24),(6,4),(6,23),(6,24),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,12),(22,17),(23,29),(23,31),(24,30),(24,32),(25,18),(25,19),(26,16),(26,19),(27,10),(27,20),(28,11),(28,20),(29,21),(29,22),(30,21),(30,25),(31,9),(31,22),(32,9),(32,25),(32,26)],33)
000011010=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,26),(4,27),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,24),(21,18),(21,29),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,20),(25,31),(26,20),(26,21),(27,21),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,27),(32,30),(33,9),(33,25),(33,26),(33,30)],34)
000011011=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33)
000011100=>([(0,6),(0,7),(1,17),(2,1),(2,26),(3,5),(3,31),(3,32),(4,2),(4,18),(4,33),(5,24),(5,25),(6,3),(6,27),(6,28),(7,4),(7,27),(7,28),(9,12),(10,13),(11,15),(12,16),(13,14),(14,11),(15,8),(16,8),(17,9),(18,10),(19,14),(19,29),(20,29),(20,30),(21,9),(21,30),(22,15),(22,16),(23,20),(23,21),(24,19),(24,20),(25,13),(25,19),(26,17),(26,21),(27,32),(27,33),(28,18),(28,31),(29,11),(29,22),(30,12),(30,22),(31,10),(31,25),(32,23),(32,24),(33,23),(33,26)],34)
000011101=>([(0,6),(0,7),(1,3),(1,27),(2,18),(3,2),(3,30),(4,5),(4,31),(4,32),(5,25),(5,29),(6,1),(6,26),(6,33),(7,4),(7,26),(7,33),(9,12),(10,14),(11,17),(12,16),(13,15),(14,13),(15,11),(16,8),(17,8),(18,9),(19,12),(19,22),(20,19),(20,21),(21,11),(21,22),(22,16),(22,17),(23,9),(23,19),(24,20),(24,23),(25,20),(25,28),(26,10),(26,32),(27,24),(27,30),(28,15),(28,21),(29,13),(29,28),(30,18),(30,23),(31,24),(31,25),(32,14),(32,29),(33,10),(33,27),(33,31)],34)
000011110=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33)
000011111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30)
000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)
000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30)
000100010=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)
000100011=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32)
000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)
000100101=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)
000100110=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34)
000100111=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34)
000101000=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32)
000101001=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32)
000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)
000101011=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)
000101100=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35)
000101101=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34)
000101110=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35)
000101111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)
000110000=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33)
000110001=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,11),(8,12),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,15),(20,17),(21,7),(21,16),(22,8),(22,17),(23,7),(23,8),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,19),(29,20),(30,21),(30,23),(31,20),(31,22)],32)
000110010=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34)
000110011=>([(0,4),(0,5),(1,15),(2,27),(2,29),(3,1),(3,28),(3,31),(4,2),(4,22),(4,23),(5,3),(5,22),(5,23),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,8),(16,12),(16,25),(17,25),(17,26),(18,13),(18,14),(19,17),(19,24),(20,7),(20,16),(21,16),(21,17),(22,29),(22,31),(23,27),(23,28),(24,11),(24,26),(25,9),(25,18),(26,10),(26,18),(27,19),(27,21),(28,20),(28,21),(29,19),(29,30),(30,7),(30,8),(30,24),(31,15),(31,20),(31,30)],32)
000110100=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35)
000110101=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34)
000110110=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32)
000110111=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34)
000111000=>([(0,5),(0,6),(1,3),(1,30),(1,31),(2,4),(2,32),(2,33),(3,22),(3,23),(4,8),(4,9),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,30),(24,32),(25,31),(25,33),(26,12),(26,19),(27,13),(27,20),(28,14),(28,26),(29,15),(29,27),(30,22),(30,28),(31,23),(31,29),(32,9),(32,28),(33,8),(33,29)],34)
000111001=>([(0,5),(0,6),(1,17),(2,4),(2,30),(2,31),(3,1),(3,32),(3,33),(4,22),(4,23),(5,2),(5,24),(5,25),(6,3),(6,24),(6,25),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,28),(24,30),(24,32),(25,31),(25,33),(26,8),(26,28),(27,13),(27,19),(28,14),(28,20),(29,12),(29,27),(30,22),(30,29),(31,23),(31,26),(32,9),(32,29),(33,9),(33,17),(33,26)],34)
000111010=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35)
000111011=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34)
000111100=>([(0,6),(0,7),(1,18),(2,4),(2,31),(2,32),(3,1),(3,19),(3,33),(4,5),(4,25),(4,30),(5,20),(5,29),(6,2),(6,26),(6,27),(7,3),(7,26),(7,27),(9,15),(10,13),(11,16),(12,17),(13,14),(14,11),(15,12),(16,8),(17,8),(18,9),(19,10),(20,21),(20,22),(21,12),(21,23),(22,11),(22,23),(23,16),(23,17),(24,9),(24,28),(25,20),(25,28),(26,32),(26,33),(27,19),(27,31),(28,15),(28,21),(29,14),(29,22),(30,13),(30,29),(31,10),(31,30),(32,24),(32,25),(33,18),(33,24)],34)
000111101=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,5),(3,24),(3,27),(4,30),(4,31),(5,4),(5,29),(5,32),(6,3),(6,23),(6,33),(7,1),(7,23),(7,33),(9,17),(10,14),(11,18),(12,19),(13,16),(14,13),(15,12),(16,11),(17,15),(18,8),(19,8),(20,18),(20,19),(21,12),(21,20),(22,11),(22,20),(23,10),(23,27),(24,25),(24,29),(25,17),(25,26),(26,15),(26,21),(27,14),(27,32),(28,9),(28,25),(29,26),(29,30),(30,21),(30,22),(31,16),(31,22),(32,13),(32,31),(33,10),(33,24),(33,28)],34)
000111110=>([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32)
000111111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28)
001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)
001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30)
001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)
001000011=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33)
001000100=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)
001000101=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)
001000110=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34)
001000111=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34)
001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)
001001001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)
001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)
001001011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32)
001001100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33)
001001101=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34)
001001110=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34)
001001111=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33)
001010000=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)
001010001=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32)
001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)
001010011=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33)
001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28)
001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)
001010110=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)
001010111=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)
001011000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35)
001011001=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34)
001011010=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33)
001011011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32)
001011100=>([(0,4),(0,5),(1,17),(1,18),(2,3),(2,31),(2,32),(3,24),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,29),(24,19),(24,27),(25,23),(25,28),(26,7),(26,28),(27,12),(27,20),(28,14),(28,29),(29,13),(29,21),(30,11),(30,27),(31,8),(31,30),(32,23),(32,24),(33,17),(33,25),(33,26),(33,31),(34,18),(34,25),(34,26),(34,32)],35)
001011101=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34)
001011110=>([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34)
001011111=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)
001100000=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,1),(3,23),(4,29),(4,30),(5,3),(5,17),(5,31),(6,4),(6,24),(6,25),(7,5),(7,24),(7,25),(9,12),(10,13),(11,15),(12,16),(13,14),(14,11),(15,8),(16,8),(17,10),(18,14),(18,26),(19,26),(19,27),(20,15),(20,16),(21,18),(21,19),(22,13),(22,18),(23,19),(23,28),(24,30),(24,31),(25,17),(25,29),(26,11),(26,20),(27,12),(27,20),(28,9),(28,27),(29,10),(29,22),(30,21),(30,22),(31,21),(31,23)],32)
001100001=>([(0,5),(0,6),(1,29),(1,31),(2,3),(2,30),(2,32),(3,4),(3,9),(3,23),(4,14),(4,27),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,29),(24,30),(25,31),(25,32),(26,13),(26,20),(27,12),(27,19),(28,15),(28,26),(29,22),(29,28),(30,22),(30,23),(31,8),(31,28),(32,8),(32,9)],33)
001100010=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34)
001100011=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,8),(20,16),(21,7),(21,8),(22,15),(22,17),(23,7),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,20),(28,21),(29,19),(29,20),(30,21),(30,23),(31,19),(31,22)],32)
001100100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33)
001100101=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34)
001100110=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29)
001100111=>([(0,4),(0,5),(1,15),(2,27),(2,29),(3,1),(3,28),(3,31),(4,2),(4,22),(4,23),(5,3),(5,22),(5,23),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,8),(16,12),(16,25),(17,25),(17,26),(18,13),(18,14),(19,17),(19,24),(20,7),(20,16),(21,16),(21,17),(22,29),(22,31),(23,27),(23,28),(24,11),(24,26),(25,9),(25,18),(26,10),(26,18),(27,19),(27,21),(28,20),(28,21),(29,19),(29,30),(30,7),(30,8),(30,24),(31,15),(31,20),(31,30)],32)
001101000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35)
001101001=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34)
001101010=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32)
001101011=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33)
001101100=>([(0,3),(0,4),(1,29),(1,30),(2,16),(2,17),(3,1),(3,27),(3,28),(4,2),(4,27),(4,28),(6,9),(7,8),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,7),(17,6),(18,21),(18,22),(19,10),(19,24),(20,11),(20,25),(21,20),(21,23),(22,19),(22,23),(23,24),(23,25),(24,12),(24,26),(25,13),(25,26),(26,14),(26,15),(27,16),(27,18),(27,29),(28,17),(28,18),(28,30),(29,7),(29,21),(29,31),(30,6),(30,22),(30,31),(31,8),(31,9),(31,19),(31,20)],32)
001101101=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29)
001101110=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33)
001101111=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33)
001110000=>([(0,6),(0,7),(1,17),(2,1),(2,26),(3,5),(3,31),(3,32),(4,2),(4,18),(4,33),(5,24),(5,25),(6,3),(6,27),(6,28),(7,4),(7,27),(7,28),(9,12),(10,13),(11,15),(12,16),(13,14),(14,11),(15,8),(16,8),(17,9),(18,10),(19,14),(19,29),(20,29),(20,30),(21,9),(21,30),(22,15),(22,16),(23,20),(23,21),(24,19),(24,20),(25,13),(25,19),(26,17),(26,21),(27,32),(27,33),(28,18),(28,31),(29,11),(29,22),(30,12),(30,22),(31,10),(31,25),(32,23),(32,24),(33,23),(33,26)],34)
001110001=>([(0,5),(0,6),(1,4),(1,30),(1,33),(2,3),(2,31),(2,32),(3,23),(3,29),(4,9),(4,28),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,30),(24,31),(25,32),(25,33),(26,13),(26,19),(27,14),(27,20),(28,12),(28,26),(29,15),(29,27),(30,22),(30,28),(31,22),(31,23),(32,8),(32,29),(33,8),(33,9)],34)
001110010=>([(0,4),(0,5),(1,28),(1,33),(2,3),(2,29),(2,30),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,12),(24,19),(25,13),(25,20),(26,11),(26,24),(27,14),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,27),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,26)],34)
001110011=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,8),(20,16),(21,7),(21,8),(22,15),(22,17),(23,7),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,20),(28,21),(29,19),(29,20),(30,21),(30,23),(31,19),(31,22)],32)
001110100=>([(0,4),(0,5),(1,17),(1,18),(2,3),(2,31),(2,32),(3,24),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,29),(24,19),(24,27),(25,23),(25,28),(26,7),(26,28),(27,12),(27,20),(28,14),(28,29),(29,13),(29,21),(30,11),(30,27),(31,8),(31,30),(32,23),(32,24),(33,17),(33,25),(33,26),(33,31),(34,18),(34,25),(34,26),(34,32)],35)
001110101=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34)
001110110=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,23),(3,29),(4,1),(4,24),(4,30),(5,2),(5,24),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,22),(25,28),(26,13),(26,19),(27,12),(27,20),(28,11),(28,27),(29,14),(29,26),(30,17),(30,25),(30,32),(31,8),(31,22),(31,23),(32,7),(32,8),(32,28),(32,29)],33)
001110111=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32)
001111000=>([(0,6),(0,7),(1,18),(2,4),(2,31),(2,32),(3,1),(3,19),(3,33),(4,5),(4,25),(4,30),(5,20),(5,29),(6,2),(6,26),(6,27),(7,3),(7,26),(7,27),(9,15),(10,13),(11,16),(12,17),(13,14),(14,11),(15,12),(16,8),(17,8),(18,9),(19,10),(20,21),(20,22),(21,12),(21,23),(22,11),(22,23),(23,16),(23,17),(24,9),(24,28),(25,20),(25,28),(26,32),(26,33),(27,19),(27,31),(28,15),(28,21),(29,14),(29,22),(30,13),(30,29),(31,10),(31,30),(32,24),(32,25),(33,18),(33,24)],34)
001111001=>([(0,5),(0,6),(1,30),(1,32),(2,3),(2,29),(2,31),(3,4),(3,22),(3,28),(4,18),(4,26),(5,1),(5,23),(5,24),(6,2),(6,23),(6,24),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,13),(15,12),(16,7),(17,7),(18,19),(18,20),(19,11),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,25),(23,31),(23,32),(24,29),(24,30),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,15),(28,26),(29,22),(29,27),(30,9),(30,27),(31,8),(31,28),(32,8),(32,9)],33)
001111010=>([(0,5),(0,6),(1,19),(2,4),(2,21),(2,22),(3,28),(3,29),(4,3),(4,30),(4,31),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,9),(9,15),(10,11),(11,12),(12,13),(13,14),(14,18),(15,17),(16,8),(17,7),(18,7),(19,16),(20,15),(20,27),(21,16),(21,31),(22,26),(22,30),(23,11),(23,26),(24,13),(24,25),(25,14),(25,27),(26,12),(26,24),(27,17),(27,18),(28,9),(28,20),(29,20),(29,25),(30,24),(30,29),(31,8),(31,28),(32,10),(32,22),(32,23),(33,10),(33,19),(33,21),(33,23)],34)
001111011=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33)
001111100=>([(0,6),(0,7),(1,11),(1,12),(2,4),(2,21),(2,22),(3,28),(3,29),(4,5),(4,26),(4,27),(5,3),(5,30),(5,31),(6,2),(6,23),(6,24),(7,1),(7,23),(7,24),(9,16),(10,15),(11,10),(12,9),(13,17),(14,18),(15,13),(16,14),(17,19),(18,20),(19,8),(20,8),(21,10),(21,26),(22,9),(22,27),(23,11),(23,21),(24,12),(24,22),(25,19),(25,20),(26,15),(26,30),(27,16),(27,31),(28,17),(28,25),(29,18),(29,25),(30,13),(30,28),(31,14),(31,29)],32)
001111101=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32)
001111110=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29)
001111111=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24)
010000000=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24)
010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)
010000010=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30)
010000011=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32)
010000100=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)
010000101=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32)
010000110=>([(0,5),(0,6),(1,19),(1,29),(2,3),(2,30),(2,31),(3,4),(3,20),(3,22),(4,23),(4,24),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,15),(12,16),(13,11),(14,12),(15,17),(16,18),(17,7),(18,7),(19,9),(20,14),(20,23),(21,13),(21,28),(22,24),(22,28),(23,12),(23,27),(24,26),(24,27),(25,17),(25,18),(26,15),(26,25),(27,16),(27,25),(28,11),(28,26),(29,9),(29,21),(30,21),(30,22),(31,8),(31,20),(32,10),(32,29),(32,30),(33,10),(33,19),(33,31)],34)
010000111=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,5),(3,24),(3,27),(4,30),(4,31),(5,4),(5,29),(5,32),(6,3),(6,23),(6,33),(7,1),(7,23),(7,33),(9,17),(10,14),(11,18),(12,19),(13,16),(14,13),(15,12),(16,11),(17,15),(18,8),(19,8),(20,18),(20,19),(21,12),(21,20),(22,11),(22,20),(23,10),(23,27),(24,25),(24,29),(25,17),(25,26),(26,15),(26,21),(27,14),(27,32),(28,9),(28,25),(29,26),(29,30),(30,21),(30,22),(31,16),(31,22),(32,13),(32,31),(33,10),(33,24),(33,28)],34)
010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)
010001001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30)
010001010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32)
010001011=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34)
010001100=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34)
010001101=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35)
010001110=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35)
010001111=>([(0,6),(0,7),(1,3),(1,27),(2,18),(3,2),(3,30),(4,5),(4,31),(4,32),(5,25),(5,29),(6,1),(6,26),(6,33),(7,4),(7,26),(7,33),(9,12),(10,14),(11,17),(12,16),(13,15),(14,13),(15,11),(16,8),(17,8),(18,9),(19,12),(19,22),(20,19),(20,21),(21,11),(21,22),(22,16),(22,17),(23,9),(23,19),(24,20),(24,23),(25,20),(25,28),(26,10),(26,32),(27,24),(27,30),(28,15),(28,21),(29,13),(29,28),(30,18),(30,23),(31,24),(31,25),(32,14),(32,29),(33,10),(33,27),(33,31)],34)
010010000=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)
010010001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)
010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)
010010011=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29)
010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)
010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)
010010110=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34)
010010111=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34)
010011000=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34)
010011001=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32)
010011010=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34)
010011011=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34)
010011100=>([(0,4),(0,5),(1,28),(1,33),(2,3),(2,29),(2,30),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,12),(24,19),(25,13),(25,20),(26,11),(26,24),(27,14),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,27),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,26)],34)
010011101=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35)
010011110=>([(0,5),(0,6),(1,30),(1,31),(2,3),(2,19),(2,29),(3,4),(3,10),(3,21),(4,8),(4,23),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,9),(12,15),(13,12),(14,16),(15,17),(16,18),(17,7),(18,7),(19,10),(20,13),(20,27),(21,23),(21,28),(22,27),(22,28),(23,14),(23,26),(24,17),(24,18),(25,15),(25,24),(26,16),(26,24),(27,12),(27,25),(28,25),(28,26),(29,21),(29,22),(30,9),(30,20),(31,20),(31,22),(32,11),(32,29),(32,31),(33,11),(33,19),(33,30)],34)
010011111=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32)
010100000=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)
010100001=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32)
010100010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32)
010100011=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34)
010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)
010100101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)
010100110=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34)
010100111=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34)
010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)
010101001=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)
010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)
010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)
010101100=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32)
010101101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)
010101110=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)
010101111=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)
010110000=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,26),(4,27),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,24),(21,18),(21,29),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,20),(25,31),(26,20),(26,21),(27,21),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,27),(32,30),(33,9),(33,25),(33,26),(33,30)],34)
010110001=>([(0,4),(0,5),(1,30),(1,31),(2,3),(2,18),(2,32),(3,7),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,10),(20,22),(21,9),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,15),(28,26),(29,12),(29,27),(30,23),(30,24),(31,23),(31,27),(32,24),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35)
010110010=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34)
010110011=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34)
010110100=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33)
010110101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)
010110110=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)
010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)
010111000=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35)
010111001=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,30),(2,31),(3,23),(3,24),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,14),(25,20),(26,13),(26,21),(27,11),(27,26),(28,15),(28,25),(29,12),(29,27),(30,23),(30,28),(31,24),(31,27),(32,7),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35)
010111010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32)
010111011=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)
010111100=>([(0,5),(0,6),(1,19),(2,4),(2,21),(2,22),(3,28),(3,29),(4,3),(4,30),(4,31),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,9),(9,15),(10,11),(11,12),(12,13),(13,14),(14,18),(15,17),(16,8),(17,7),(18,7),(19,16),(20,15),(20,27),(21,16),(21,31),(22,26),(22,30),(23,11),(23,26),(24,13),(24,25),(25,14),(25,27),(26,12),(26,24),(27,17),(27,18),(28,9),(28,20),(29,20),(29,25),(30,24),(30,29),(31,8),(31,28),(32,10),(32,22),(32,23),(33,10),(33,19),(33,21),(33,23)],34)
010111101=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32)
010111110=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)
010111111=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)
011000000=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29)
011000001=>([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32)
011000010=>([(0,5),(0,6),(1,19),(1,29),(2,3),(2,30),(2,31),(3,4),(3,20),(3,22),(4,23),(4,24),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,15),(12,16),(13,11),(14,12),(15,17),(16,18),(17,7),(18,7),(19,9),(20,14),(20,23),(21,13),(21,28),(22,24),(22,28),(23,12),(23,27),(24,26),(24,27),(25,17),(25,18),(26,15),(26,25),(27,16),(27,25),(28,11),(28,26),(29,9),(29,21),(30,21),(30,22),(31,8),(31,20),(32,10),(32,29),(32,30),(33,10),(33,19),(33,31)],34)
011000011=>([(0,5),(0,6),(1,30),(1,32),(2,3),(2,29),(2,31),(3,4),(3,22),(3,28),(4,18),(4,26),(5,1),(5,23),(5,24),(6,2),(6,23),(6,24),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,13),(15,12),(16,7),(17,7),(18,19),(18,20),(19,11),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,25),(23,31),(23,32),(24,29),(24,30),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,15),(28,26),(29,22),(29,27),(30,9),(30,27),(31,8),(31,28),(32,8),(32,9)],33)
011000100=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34)
011000101=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,30),(2,31),(3,23),(3,24),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,14),(25,20),(26,13),(26,21),(27,11),(27,26),(28,15),(28,25),(29,12),(29,27),(30,23),(30,28),(31,24),(31,27),(32,7),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35)
011000110=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,8),(19,16),(20,7),(20,17),(21,7),(21,8),(22,15),(22,16),(23,15),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,20),(29,21),(30,19),(30,22),(31,20),(31,23)],32)
011000111=>([(0,5),(0,6),(1,17),(2,4),(2,30),(2,31),(3,1),(3,32),(3,33),(4,22),(4,23),(5,2),(5,24),(5,25),(6,3),(6,24),(6,25),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,28),(24,30),(24,32),(25,31),(25,33),(26,8),(26,28),(27,13),(27,19),(28,14),(28,20),(29,12),(29,27),(30,22),(30,29),(31,23),(31,26),(32,9),(32,29),(33,9),(33,17),(33,26)],34)
011001000=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34)
011001001=>([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32)
011001010=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34)
011001011=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34)
011001100=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29)
011001101=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32)
011001110=>([(0,4),(0,5),(1,29),(1,30),(2,3),(2,31),(2,32),(3,7),(3,28),(4,1),(4,22),(4,23),(5,2),(5,22),(5,23),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,18),(17,19),(18,9),(18,20),(19,10),(19,20),(20,15),(20,16),(21,17),(21,25),(22,30),(22,31),(23,29),(23,32),(24,17),(24,26),(25,12),(25,18),(26,13),(26,19),(27,11),(27,25),(28,14),(28,26),(29,21),(29,27),(30,21),(30,24),(31,8),(31,24),(31,28),(32,7),(32,8),(32,27)],33)
011001111=>([(0,5),(0,6),(1,16),(2,1),(2,26),(3,29),(3,30),(4,2),(4,31),(4,32),(5,3),(5,23),(5,24),(6,4),(6,23),(6,24),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,12),(22,17),(23,29),(23,31),(24,30),(24,32),(25,18),(25,19),(26,16),(26,19),(27,10),(27,20),(28,11),(28,20),(29,21),(29,22),(30,21),(30,25),(31,9),(31,22),(32,9),(32,25),(32,26)],33)
011010000=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)
011010001=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,17),(2,31),(3,8),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,21),(19,22),(20,19),(20,27),(21,10),(21,23),(22,9),(22,23),(23,15),(23,16),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,13),(27,21),(28,12),(28,22),(29,14),(29,27),(30,11),(30,28),(31,24),(31,30),(32,7),(32,29),(33,25),(33,26),(33,31),(33,32),(34,17),(34,18),(34,25),(34,26)],35)
011010010=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34)
011010011=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34)
011010100=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)
011010101=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)
011010110=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)
011010111=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32)
011011000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32)
011011001=>([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32)
011011010=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)
011011011=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)
011011100=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,23),(3,29),(4,1),(4,24),(4,30),(5,2),(5,24),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,22),(25,28),(26,13),(26,19),(27,12),(27,20),(28,11),(28,27),(29,14),(29,26),(30,17),(30,25),(30,32),(31,8),(31,22),(31,23),(32,7),(32,8),(32,28),(32,29)],33)
011011101=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30)
011011110=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31)
011011111=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30)
011100000=>([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32)
011100001=>([(0,6),(0,7),(1,4),(1,11),(1,28),(2,5),(2,12),(2,27),(3,18),(3,33),(4,20),(4,32),(5,3),(5,19),(5,31),(6,1),(6,29),(6,30),(7,2),(7,29),(7,30),(9,13),(10,14),(11,20),(12,19),(13,15),(14,16),(15,17),(16,8),(17,8),(18,10),(19,18),(20,9),(21,22),(21,25),(22,23),(22,26),(23,15),(23,24),(24,16),(24,17),(25,13),(25,23),(26,14),(26,24),(27,21),(27,31),(28,21),(28,32),(29,27),(29,28),(30,11),(30,12),(31,22),(31,33),(32,9),(32,25),(33,10),(33,26)],34)
011100010=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35)
011100011=>([(0,5),(0,6),(1,4),(1,30),(1,33),(2,3),(2,31),(2,32),(3,23),(3,29),(4,9),(4,28),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,30),(24,31),(25,32),(25,33),(26,13),(26,19),(27,14),(27,20),(28,12),(28,26),(29,15),(29,27),(30,22),(30,28),(31,22),(31,23),(32,8),(32,29),(33,8),(33,9)],34)
011100100=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34)
011100101=>([(0,4),(0,5),(1,30),(1,31),(2,3),(2,18),(2,32),(3,7),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,10),(20,22),(21,9),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,15),(28,26),(29,12),(29,27),(30,23),(30,24),(31,23),(31,27),(32,24),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35)
011100110=>([(0,4),(0,5),(1,29),(1,30),(2,3),(2,31),(2,32),(3,7),(3,28),(4,1),(4,22),(4,23),(5,2),(5,22),(5,23),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,18),(17,19),(18,9),(18,20),(19,10),(19,20),(20,15),(20,16),(21,17),(21,25),(22,30),(22,31),(23,29),(23,32),(24,17),(24,26),(25,12),(25,18),(26,13),(26,19),(27,11),(27,25),(28,14),(28,26),(29,21),(29,27),(30,21),(30,24),(31,8),(31,24),(31,28),(32,7),(32,8),(32,27)],33)
011100111=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,11),(8,12),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,15),(20,17),(21,7),(21,16),(22,8),(22,17),(23,7),(23,8),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,19),(29,20),(30,21),(30,23),(31,20),(31,22)],32)
011101000=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35)
011101001=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,17),(2,31),(3,8),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,21),(19,22),(20,19),(20,27),(21,10),(21,23),(22,9),(22,23),(23,15),(23,16),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,13),(27,21),(28,12),(28,22),(29,14),(29,27),(30,11),(30,28),(31,24),(31,30),(32,7),(32,29),(33,25),(33,26),(33,31),(33,32),(34,17),(34,18),(34,25),(34,26)],35)
011101010=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)
011101011=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32)
011101100=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33)
011101101=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)
011101110=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)
011101111=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30)
011110000=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33)
011110001=>([(0,6),(0,7),(1,4),(1,11),(1,28),(2,5),(2,12),(2,27),(3,18),(3,33),(4,20),(4,32),(5,3),(5,19),(5,31),(6,1),(6,29),(6,30),(7,2),(7,29),(7,30),(9,13),(10,14),(11,20),(12,19),(13,15),(14,16),(15,17),(16,8),(17,8),(18,10),(19,18),(20,9),(21,22),(21,25),(22,23),(22,26),(23,15),(23,24),(24,16),(24,17),(25,13),(25,23),(26,14),(26,24),(27,21),(27,31),(28,21),(28,32),(29,27),(29,28),(30,11),(30,12),(31,22),(31,33),(32,9),(32,25),(33,10),(33,26)],34)
011110010=>([(0,5),(0,6),(1,30),(1,31),(2,3),(2,19),(2,29),(3,4),(3,10),(3,21),(4,8),(4,23),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,9),(12,15),(13,12),(14,16),(15,17),(16,18),(17,7),(18,7),(19,10),(20,13),(20,27),(21,23),(21,28),(22,27),(22,28),(23,14),(23,26),(24,17),(24,18),(25,15),(25,24),(26,16),(26,24),(27,12),(27,25),(28,25),(28,26),(29,21),(29,22),(30,9),(30,20),(31,20),(31,22),(32,11),(32,29),(32,31),(33,11),(33,19),(33,30)],34)
011110011=>([(0,5),(0,6),(1,29),(1,31),(2,3),(2,30),(2,32),(3,4),(3,9),(3,23),(4,14),(4,27),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,29),(24,30),(25,31),(25,32),(26,13),(26,20),(27,12),(27,19),(28,15),(28,26),(29,22),(29,28),(30,22),(30,23),(31,8),(31,28),(32,8),(32,9)],33)
011110100=>([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34)
011110101=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32)
011110110=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31)
011110111=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30)
011111000=>([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32)
011111001=>([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32)
011111010=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)
011111011=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30)
011111100=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29)
011111101=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)
011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24)
011111111=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18)
100000000=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18)
100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24)
100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)
100000011=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29)
100000100=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30)
100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)
100000110=>([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32)
100000111=>([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32)
100001000=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30)
100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31)
100001010=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32)
100001011=>([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34)
100001100=>([(0,5),(0,6),(1,29),(1,31),(2,3),(2,30),(2,32),(3,4),(3,9),(3,23),(4,14),(4,27),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,29),(24,30),(25,31),(25,32),(26,13),(26,20),(27,12),(27,19),(28,15),(28,26),(29,22),(29,28),(30,22),(30,23),(31,8),(31,28),(32,8),(32,9)],33)
100001101=>([(0,5),(0,6),(1,30),(1,31),(2,3),(2,19),(2,29),(3,4),(3,10),(3,21),(4,8),(4,23),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,9),(12,15),(13,12),(14,16),(15,17),(16,18),(17,7),(18,7),(19,10),(20,13),(20,27),(21,23),(21,28),(22,27),(22,28),(23,14),(23,26),(24,17),(24,18),(25,15),(25,24),(26,16),(26,24),(27,12),(27,25),(28,25),(28,26),(29,21),(29,22),(30,9),(30,20),(31,20),(31,22),(32,11),(32,29),(32,31),(33,11),(33,19),(33,30)],34)
100001110=>([(0,6),(0,7),(1,4),(1,11),(1,28),(2,5),(2,12),(2,27),(3,18),(3,33),(4,20),(4,32),(5,3),(5,19),(5,31),(6,1),(6,29),(6,30),(7,2),(7,29),(7,30),(9,13),(10,14),(11,20),(12,19),(13,15),(14,16),(15,17),(16,8),(17,8),(18,10),(19,18),(20,9),(21,22),(21,25),(22,23),(22,26),(23,15),(23,24),(24,16),(24,17),(25,13),(25,23),(26,14),(26,24),(27,21),(27,31),(28,21),(28,32),(29,27),(29,28),(30,11),(30,12),(31,22),(31,33),(32,9),(32,25),(33,10),(33,26)],34)
100001111=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33)
100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30)
100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)
100010010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)
100010011=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33)
100010100=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32)
100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)
100010110=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,17),(2,31),(3,8),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,21),(19,22),(20,19),(20,27),(21,10),(21,23),(22,9),(22,23),(23,15),(23,16),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,13),(27,21),(28,12),(28,22),(29,14),(29,27),(30,11),(30,28),(31,24),(31,30),(32,7),(32,29),(33,25),(33,26),(33,31),(33,32),(34,17),(34,18),(34,25),(34,26)],35)
100010111=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35)
100011000=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,11),(8,12),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,15),(20,17),(21,7),(21,16),(22,8),(22,17),(23,7),(23,8),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,19),(29,20),(30,21),(30,23),(31,20),(31,22)],32)
100011001=>([(0,4),(0,5),(1,29),(1,30),(2,3),(2,31),(2,32),(3,7),(3,28),(4,1),(4,22),(4,23),(5,2),(5,22),(5,23),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,18),(17,19),(18,9),(18,20),(19,10),(19,20),(20,15),(20,16),(21,17),(21,25),(22,30),(22,31),(23,29),(23,32),(24,17),(24,26),(25,12),(25,18),(26,13),(26,19),(27,11),(27,25),(28,14),(28,26),(29,21),(29,27),(30,21),(30,24),(31,8),(31,24),(31,28),(32,7),(32,8),(32,27)],33)
100011010=>([(0,4),(0,5),(1,30),(1,31),(2,3),(2,18),(2,32),(3,7),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,10),(20,22),(21,9),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,15),(28,26),(29,12),(29,27),(30,23),(30,24),(31,23),(31,27),(32,24),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35)
100011011=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34)
100011100=>([(0,5),(0,6),(1,4),(1,30),(1,33),(2,3),(2,31),(2,32),(3,23),(3,29),(4,9),(4,28),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,30),(24,31),(25,32),(25,33),(26,13),(26,19),(27,14),(27,20),(28,12),(28,26),(29,15),(29,27),(30,22),(30,28),(31,22),(31,23),(32,8),(32,29),(33,8),(33,9)],34)
100011101=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35)
100011110=>([(0,6),(0,7),(1,4),(1,11),(1,28),(2,5),(2,12),(2,27),(3,18),(3,33),(4,20),(4,32),(5,3),(5,19),(5,31),(6,1),(6,29),(6,30),(7,2),(7,29),(7,30),(9,13),(10,14),(11,20),(12,19),(13,15),(14,16),(15,17),(16,8),(17,8),(18,10),(19,18),(20,9),(21,22),(21,25),(22,23),(22,26),(23,15),(23,24),(24,16),(24,17),(25,13),(25,23),(26,14),(26,24),(27,21),(27,31),(28,21),(28,32),(29,27),(29,28),(30,11),(30,12),(31,22),(31,33),(32,9),(32,25),(33,10),(33,26)],34)
100011111=>([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32)
100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30)
100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31)
100100010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30)
100100011=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,23),(3,29),(4,1),(4,24),(4,30),(5,2),(5,24),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,22),(25,28),(26,13),(26,19),(27,12),(27,20),(28,11),(28,27),(29,14),(29,26),(30,17),(30,25),(30,32),(31,8),(31,22),(31,23),(32,7),(32,8),(32,28),(32,29)],33)
100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)
100100101=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)
100100110=>([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32)
100100111=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32)
100101000=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32)
100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)
100101010=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)
100101011=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)
100101100=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34)
100101101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34)
100101110=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,17),(2,31),(3,8),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,21),(19,22),(20,19),(20,27),(21,10),(21,23),(22,9),(22,23),(23,15),(23,16),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,13),(27,21),(28,12),(28,22),(29,14),(29,27),(30,11),(30,28),(31,24),(31,30),(32,7),(32,29),(33,25),(33,26),(33,31),(33,32),(34,17),(34,18),(34,25),(34,26)],35)
100101111=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)
100110000=>([(0,5),(0,6),(1,16),(2,1),(2,26),(3,29),(3,30),(4,2),(4,31),(4,32),(5,3),(5,23),(5,24),(6,4),(6,23),(6,24),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,12),(22,17),(23,29),(23,31),(24,30),(24,32),(25,18),(25,19),(26,16),(26,19),(27,10),(27,20),(28,11),(28,20),(29,21),(29,22),(30,21),(30,25),(31,9),(31,22),(32,9),(32,25),(32,26)],33)
100110001=>([(0,4),(0,5),(1,29),(1,30),(2,3),(2,31),(2,32),(3,7),(3,28),(4,1),(4,22),(4,23),(5,2),(5,22),(5,23),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,18),(17,19),(18,9),(18,20),(19,10),(19,20),(20,15),(20,16),(21,17),(21,25),(22,30),(22,31),(23,29),(23,32),(24,17),(24,26),(25,12),(25,18),(26,13),(26,19),(27,11),(27,25),(28,14),(28,26),(29,21),(29,27),(30,21),(30,24),(31,8),(31,24),(31,28),(32,7),(32,8),(32,27)],33)
100110010=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32)
100110011=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29)
100110100=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34)
100110101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34)
100110110=>([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32)
100110111=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34)
100111000=>([(0,5),(0,6),(1,17),(2,4),(2,30),(2,31),(3,1),(3,32),(3,33),(4,22),(4,23),(5,2),(5,24),(5,25),(6,3),(6,24),(6,25),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,28),(24,30),(24,32),(25,31),(25,33),(26,8),(26,28),(27,13),(27,19),(28,14),(28,20),(29,12),(29,27),(30,22),(30,29),(31,23),(31,26),(32,9),(32,29),(33,9),(33,17),(33,26)],34)
100111001=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,8),(19,16),(20,7),(20,17),(21,7),(21,8),(22,15),(22,16),(23,15),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,20),(29,21),(30,19),(30,22),(31,20),(31,23)],32)
100111010=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,30),(2,31),(3,23),(3,24),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,14),(25,20),(26,13),(26,21),(27,11),(27,26),(28,15),(28,25),(29,12),(29,27),(30,23),(30,28),(31,24),(31,27),(32,7),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35)
100111011=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34)
100111100=>([(0,5),(0,6),(1,30),(1,32),(2,3),(2,29),(2,31),(3,4),(3,22),(3,28),(4,18),(4,26),(5,1),(5,23),(5,24),(6,2),(6,23),(6,24),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,13),(15,12),(16,7),(17,7),(18,19),(18,20),(19,11),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,25),(23,31),(23,32),(24,29),(24,30),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,15),(28,26),(29,22),(29,27),(30,9),(30,27),(31,8),(31,28),(32,8),(32,9)],33)
100111101=>([(0,5),(0,6),(1,19),(1,29),(2,3),(2,30),(2,31),(3,4),(3,20),(3,22),(4,23),(4,24),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,15),(12,16),(13,11),(14,12),(15,17),(16,18),(17,7),(18,7),(19,9),(20,14),(20,23),(21,13),(21,28),(22,24),(22,28),(23,12),(23,27),(24,26),(24,27),(25,17),(25,18),(26,15),(26,25),(27,16),(27,25),(28,11),(28,26),(29,9),(29,21),(30,21),(30,22),(31,8),(31,20),(32,10),(32,29),(32,30),(33,10),(33,19),(33,31)],34)
100111110=>([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32)
100111111=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29)
101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)
101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)
101000010=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32)
101000011=>([(0,5),(0,6),(1,19),(2,4),(2,21),(2,22),(3,28),(3,29),(4,3),(4,30),(4,31),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,9),(9,15),(10,11),(11,12),(12,13),(13,14),(14,18),(15,17),(16,8),(17,7),(18,7),(19,16),(20,15),(20,27),(21,16),(21,31),(22,26),(22,30),(23,11),(23,26),(24,13),(24,25),(25,14),(25,27),(26,12),(26,24),(27,17),(27,18),(28,9),(28,20),(29,20),(29,25),(30,24),(30,29),(31,8),(31,28),(32,10),(32,22),(32,23),(33,10),(33,19),(33,21),(33,23)],34)
101000100=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)
101000101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32)
101000110=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,30),(2,31),(3,23),(3,24),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,14),(25,20),(26,13),(26,21),(27,11),(27,26),(28,15),(28,25),(29,12),(29,27),(30,23),(30,28),(31,24),(31,27),(32,7),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35)
101000111=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35)
101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)
101001001=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)
101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)
101001011=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33)
101001100=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34)
101001101=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34)
101001110=>([(0,4),(0,5),(1,30),(1,31),(2,3),(2,18),(2,32),(3,7),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,10),(20,22),(21,9),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,15),(28,26),(29,12),(29,27),(30,23),(30,24),(31,23),(31,27),(32,24),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35)
101001111=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,26),(4,27),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,24),(21,18),(21,29),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,20),(25,31),(26,20),(26,21),(27,21),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,27),(32,30),(33,9),(33,25),(33,26),(33,30)],34)
101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)
101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)
101010010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)
101010011=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32)
101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)
101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)
101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)
101010111=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)
101011000=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34)
101011001=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34)
101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)
101011011=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)
101011100=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34)
101011101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32)
101011110=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32)
101011111=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)
101100000=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32)
101100001=>([(0,5),(0,6),(1,30),(1,31),(2,3),(2,19),(2,29),(3,4),(3,10),(3,21),(4,8),(4,23),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,9),(12,15),(13,12),(14,16),(15,17),(16,18),(17,7),(18,7),(19,10),(20,13),(20,27),(21,23),(21,28),(22,27),(22,28),(23,14),(23,26),(24,17),(24,18),(25,15),(25,24),(26,16),(26,24),(27,12),(27,25),(28,25),(28,26),(29,21),(29,22),(30,9),(30,20),(31,20),(31,22),(32,11),(32,29),(32,31),(33,11),(33,19),(33,30)],34)
101100010=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35)
101100011=>([(0,4),(0,5),(1,28),(1,33),(2,3),(2,29),(2,30),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,12),(24,19),(25,13),(25,20),(26,11),(26,24),(27,14),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,27),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,26)],34)
101100100=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34)
101100101=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34)
101100110=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32)
101100111=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34)
101101000=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34)
101101001=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34)
101101010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)
101101011=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)
101101100=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29)
101101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)
101101110=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)
101101111=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)
101110000=>([(0,6),(0,7),(1,3),(1,27),(2,18),(3,2),(3,30),(4,5),(4,31),(4,32),(5,25),(5,29),(6,1),(6,26),(6,33),(7,4),(7,26),(7,33),(9,12),(10,14),(11,17),(12,16),(13,15),(14,13),(15,11),(16,8),(17,8),(18,9),(19,12),(19,22),(20,19),(20,21),(21,11),(21,22),(22,16),(22,17),(23,9),(23,19),(24,20),(24,23),(25,20),(25,28),(26,10),(26,32),(27,24),(27,30),(28,15),(28,21),(29,13),(29,28),(30,18),(30,23),(31,24),(31,25),(32,14),(32,29),(33,10),(33,27),(33,31)],34)
101110001=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35)
101110010=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35)
101110011=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34)
101110100=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34)
101110101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32)
101110110=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30)
101110111=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)
101111000=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,5),(3,24),(3,27),(4,30),(4,31),(5,4),(5,29),(5,32),(6,3),(6,23),(6,33),(7,1),(7,23),(7,33),(9,17),(10,14),(11,18),(12,19),(13,16),(14,13),(15,12),(16,11),(17,15),(18,8),(19,8),(20,18),(20,19),(21,12),(21,20),(22,11),(22,20),(23,10),(23,27),(24,25),(24,29),(25,17),(25,26),(26,15),(26,21),(27,14),(27,32),(28,9),(28,25),(29,26),(29,30),(30,21),(30,22),(31,16),(31,22),(32,13),(32,31),(33,10),(33,24),(33,28)],34)
101111001=>([(0,5),(0,6),(1,19),(1,29),(2,3),(2,30),(2,31),(3,4),(3,20),(3,22),(4,23),(4,24),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,15),(12,16),(13,11),(14,12),(15,17),(16,18),(17,7),(18,7),(19,9),(20,14),(20,23),(21,13),(21,28),(22,24),(22,28),(23,12),(23,27),(24,26),(24,27),(25,17),(25,18),(26,15),(26,25),(27,16),(27,25),(28,11),(28,26),(29,9),(29,21),(30,21),(30,22),(31,8),(31,20),(32,10),(32,29),(32,30),(33,10),(33,19),(33,31)],34)
101111010=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32)
101111011=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)
101111100=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32)
101111101=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30)
101111110=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)
101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24)
110000000=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24)
110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29)
110000010=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32)
110000011=>([(0,6),(0,7),(1,11),(1,12),(2,4),(2,21),(2,22),(3,28),(3,29),(4,5),(4,26),(4,27),(5,3),(5,30),(5,31),(6,2),(6,23),(6,24),(7,1),(7,23),(7,24),(9,16),(10,15),(11,10),(12,9),(13,17),(14,18),(15,13),(16,14),(17,19),(18,20),(19,8),(20,8),(21,10),(21,26),(22,9),(22,27),(23,11),(23,21),(24,12),(24,22),(25,19),(25,20),(26,15),(26,30),(27,16),(27,31),(28,17),(28,25),(29,18),(29,25),(30,13),(30,28),(31,14),(31,29)],32)
110000100=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33)
110000101=>([(0,5),(0,6),(1,19),(2,4),(2,21),(2,22),(3,28),(3,29),(4,3),(4,30),(4,31),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,9),(9,15),(10,11),(11,12),(12,13),(13,14),(14,18),(15,17),(16,8),(17,7),(18,7),(19,16),(20,15),(20,27),(21,16),(21,31),(22,26),(22,30),(23,11),(23,26),(24,13),(24,25),(25,14),(25,27),(26,12),(26,24),(27,17),(27,18),(28,9),(28,20),(29,20),(29,25),(30,24),(30,29),(31,8),(31,28),(32,10),(32,22),(32,23),(33,10),(33,19),(33,21),(33,23)],34)
110000110=>([(0,5),(0,6),(1,30),(1,32),(2,3),(2,29),(2,31),(3,4),(3,22),(3,28),(4,18),(4,26),(5,1),(5,23),(5,24),(6,2),(6,23),(6,24),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,13),(15,12),(16,7),(17,7),(18,19),(18,20),(19,11),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,25),(23,31),(23,32),(24,29),(24,30),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,15),(28,26),(29,22),(29,27),(30,9),(30,27),(31,8),(31,28),(32,8),(32,9)],33)
110000111=>([(0,6),(0,7),(1,18),(2,4),(2,31),(2,32),(3,1),(3,19),(3,33),(4,5),(4,25),(4,30),(5,20),(5,29),(6,2),(6,26),(6,27),(7,3),(7,26),(7,27),(9,15),(10,13),(11,16),(12,17),(13,14),(14,11),(15,12),(16,8),(17,8),(18,9),(19,10),(20,21),(20,22),(21,12),(21,23),(22,11),(22,23),(23,16),(23,17),(24,9),(24,28),(25,20),(25,28),(26,32),(26,33),(27,19),(27,31),(28,15),(28,21),(29,14),(29,22),(30,13),(30,29),(31,10),(31,30),(32,24),(32,25),(33,18),(33,24)],34)
110001000=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32)
110001001=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,23),(3,29),(4,1),(4,24),(4,30),(5,2),(5,24),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,22),(25,28),(26,13),(26,19),(27,12),(27,20),(28,11),(28,27),(29,14),(29,26),(30,17),(30,25),(30,32),(31,8),(31,22),(31,23),(32,7),(32,8),(32,28),(32,29)],33)
110001010=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34)
110001011=>([(0,4),(0,5),(1,17),(1,18),(2,3),(2,31),(2,32),(3,24),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,29),(24,19),(24,27),(25,23),(25,28),(26,7),(26,28),(27,12),(27,20),(28,14),(28,29),(29,13),(29,21),(30,11),(30,27),(31,8),(31,30),(32,23),(32,24),(33,17),(33,25),(33,26),(33,31),(34,18),(34,25),(34,26),(34,32)],35)
110001100=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,8),(20,16),(21,7),(21,8),(22,15),(22,17),(23,7),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,20),(28,21),(29,19),(29,20),(30,21),(30,23),(31,19),(31,22)],32)
110001101=>([(0,4),(0,5),(1,28),(1,33),(2,3),(2,29),(2,30),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,12),(24,19),(25,13),(25,20),(26,11),(26,24),(27,14),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,27),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,26)],34)
110001110=>([(0,5),(0,6),(1,4),(1,30),(1,33),(2,3),(2,31),(2,32),(3,23),(3,29),(4,9),(4,28),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,30),(24,31),(25,32),(25,33),(26,13),(26,19),(27,14),(27,20),(28,12),(28,26),(29,15),(29,27),(30,22),(30,28),(31,22),(31,23),(32,8),(32,29),(33,8),(33,9)],34)
110001111=>([(0,6),(0,7),(1,17),(2,1),(2,26),(3,5),(3,31),(3,32),(4,2),(4,18),(4,33),(5,24),(5,25),(6,3),(6,27),(6,28),(7,4),(7,27),(7,28),(9,12),(10,13),(11,15),(12,16),(13,14),(14,11),(15,8),(16,8),(17,9),(18,10),(19,14),(19,29),(20,29),(20,30),(21,9),(21,30),(22,15),(22,16),(23,20),(23,21),(24,19),(24,20),(25,13),(25,19),(26,17),(26,21),(27,32),(27,33),(28,18),(28,31),(29,11),(29,22),(30,12),(30,22),(31,10),(31,25),(32,23),(32,24),(33,23),(33,26)],34)
110010000=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33)
110010001=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33)
110010010=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29)
110010011=>([(0,3),(0,4),(1,29),(1,30),(2,16),(2,17),(3,1),(3,27),(3,28),(4,2),(4,27),(4,28),(6,9),(7,8),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,7),(17,6),(18,21),(18,22),(19,10),(19,24),(20,11),(20,25),(21,20),(21,23),(22,19),(22,23),(23,24),(23,25),(24,12),(24,26),(25,13),(25,26),(26,14),(26,15),(27,16),(27,18),(27,29),(28,17),(28,18),(28,30),(29,7),(29,21),(29,31),(30,6),(30,22),(30,31),(31,8),(31,9),(31,19),(31,20)],32)
110010100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33)
110010101=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32)
110010110=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34)
110010111=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35)
110011000=>([(0,4),(0,5),(1,15),(2,27),(2,29),(3,1),(3,28),(3,31),(4,2),(4,22),(4,23),(5,3),(5,22),(5,23),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,8),(16,12),(16,25),(17,25),(17,26),(18,13),(18,14),(19,17),(19,24),(20,7),(20,16),(21,16),(21,17),(22,29),(22,31),(23,27),(23,28),(24,11),(24,26),(25,9),(25,18),(26,10),(26,18),(27,19),(27,21),(28,20),(28,21),(29,19),(29,30),(30,7),(30,8),(30,24),(31,15),(31,20),(31,30)],32)
110011001=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29)
110011010=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34)
110011011=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33)
110011100=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,8),(20,16),(21,7),(21,8),(22,15),(22,17),(23,7),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,20),(28,21),(29,19),(29,20),(30,21),(30,23),(31,19),(31,22)],32)
110011101=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34)
110011110=>([(0,5),(0,6),(1,29),(1,31),(2,3),(2,30),(2,32),(3,4),(3,9),(3,23),(4,14),(4,27),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,29),(24,30),(25,31),(25,32),(26,13),(26,20),(27,12),(27,19),(28,15),(28,26),(29,22),(29,28),(30,22),(30,23),(31,8),(31,28),(32,8),(32,9)],33)
110011111=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,1),(3,23),(4,29),(4,30),(5,3),(5,17),(5,31),(6,4),(6,24),(6,25),(7,5),(7,24),(7,25),(9,12),(10,13),(11,15),(12,16),(13,14),(14,11),(15,8),(16,8),(17,10),(18,14),(18,26),(19,26),(19,27),(20,15),(20,16),(21,18),(21,19),(22,13),(22,18),(23,19),(23,28),(24,30),(24,31),(25,17),(25,29),(26,11),(26,20),(27,12),(27,20),(28,9),(28,27),(29,10),(29,22),(30,21),(30,22),(31,21),(31,23)],32)
110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)
110100001=>([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34)
110100010=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34)
110100011=>([(0,4),(0,5),(1,17),(1,18),(2,3),(2,31),(2,32),(3,24),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,29),(24,19),(24,27),(25,23),(25,28),(26,7),(26,28),(27,12),(27,20),(28,14),(28,29),(29,13),(29,21),(30,11),(30,27),(31,8),(31,30),(32,23),(32,24),(33,17),(33,25),(33,26),(33,31),(34,18),(34,25),(34,26),(34,32)],35)
110100100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32)
110100101=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33)
110100110=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34)
110100111=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35)
110101000=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)
110101001=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)
110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)
110101011=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28)
110101100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33)
110101101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)
110101110=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32)
110101111=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)
110110000=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33)
110110001=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34)
110110010=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34)
110110011=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33)
110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32)
110110101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)
110110110=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)
110110111=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)
110111000=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34)
110111001=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34)
110111010=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)
110111011=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)
110111100=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33)
110111101=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)
110111110=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30)
110111111=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)
111000000=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28)
111000001=>([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32)
111000010=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,5),(3,24),(3,27),(4,30),(4,31),(5,4),(5,29),(5,32),(6,3),(6,23),(6,33),(7,1),(7,23),(7,33),(9,17),(10,14),(11,18),(12,19),(13,16),(14,13),(15,12),(16,11),(17,15),(18,8),(19,8),(20,18),(20,19),(21,12),(21,20),(22,11),(22,20),(23,10),(23,27),(24,25),(24,29),(25,17),(25,26),(26,15),(26,21),(27,14),(27,32),(28,9),(28,25),(29,26),(29,30),(30,21),(30,22),(31,16),(31,22),(32,13),(32,31),(33,10),(33,24),(33,28)],34)
111000011=>([(0,6),(0,7),(1,18),(2,4),(2,31),(2,32),(3,1),(3,19),(3,33),(4,5),(4,25),(4,30),(5,20),(5,29),(6,2),(6,26),(6,27),(7,3),(7,26),(7,27),(9,15),(10,13),(11,16),(12,17),(13,14),(14,11),(15,12),(16,8),(17,8),(18,9),(19,10),(20,21),(20,22),(21,12),(21,23),(22,11),(22,23),(23,16),(23,17),(24,9),(24,28),(25,20),(25,28),(26,32),(26,33),(27,19),(27,31),(28,15),(28,21),(29,14),(29,22),(30,13),(30,29),(31,10),(31,30),(32,24),(32,25),(33,18),(33,24)],34)
111000100=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34)
111000101=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35)
111000110=>([(0,5),(0,6),(1,17),(2,4),(2,30),(2,31),(3,1),(3,32),(3,33),(4,22),(4,23),(5,2),(5,24),(5,25),(6,3),(6,24),(6,25),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,28),(24,30),(24,32),(25,31),(25,33),(26,8),(26,28),(27,13),(27,19),(28,14),(28,20),(29,12),(29,27),(30,22),(30,29),(31,23),(31,26),(32,9),(32,29),(33,9),(33,17),(33,26)],34)
111000111=>([(0,5),(0,6),(1,3),(1,30),(1,31),(2,4),(2,32),(2,33),(3,22),(3,23),(4,8),(4,9),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,30),(24,32),(25,31),(25,33),(26,12),(26,19),(27,13),(27,20),(28,14),(28,26),(29,15),(29,27),(30,22),(30,28),(31,23),(31,29),(32,9),(32,28),(33,8),(33,29)],34)
111001000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34)
111001001=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32)
111001010=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34)
111001011=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35)
111001100=>([(0,4),(0,5),(1,15),(2,27),(2,29),(3,1),(3,28),(3,31),(4,2),(4,22),(4,23),(5,3),(5,22),(5,23),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,8),(16,12),(16,25),(17,25),(17,26),(18,13),(18,14),(19,17),(19,24),(20,7),(20,16),(21,16),(21,17),(22,29),(22,31),(23,27),(23,28),(24,11),(24,26),(25,9),(25,18),(26,10),(26,18),(27,19),(27,21),(28,20),(28,21),(29,19),(29,30),(30,7),(30,8),(30,24),(31,15),(31,20),(31,30)],32)
111001101=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34)
111001110=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,11),(8,12),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,15),(20,17),(21,7),(21,16),(22,8),(22,17),(23,7),(23,8),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,19),(29,20),(30,21),(30,23),(31,20),(31,22)],32)
111001111=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33)
111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)
111010001=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35)
111010010=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34)
111010011=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35)
111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)
111010101=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)
111010110=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32)
111010111=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32)
111011000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34)
111011001=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34)
111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)
111011011=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)
111011100=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32)
111011101=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)
111011110=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30)
111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)
111100000=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30)
111100001=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33)
111100010=>([(0,6),(0,7),(1,3),(1,27),(2,18),(3,2),(3,30),(4,5),(4,31),(4,32),(5,25),(5,29),(6,1),(6,26),(6,33),(7,4),(7,26),(7,33),(9,12),(10,14),(11,17),(12,16),(13,15),(14,13),(15,11),(16,8),(17,8),(18,9),(19,12),(19,22),(20,19),(20,21),(21,11),(21,22),(22,16),(22,17),(23,9),(23,19),(24,20),(24,23),(25,20),(25,28),(26,10),(26,32),(27,24),(27,30),(28,15),(28,21),(29,13),(29,28),(30,18),(30,23),(31,24),(31,25),(32,14),(32,29),(33,10),(33,27),(33,31)],34)
111100011=>([(0,6),(0,7),(1,17),(2,1),(2,26),(3,5),(3,31),(3,32),(4,2),(4,18),(4,33),(5,24),(5,25),(6,3),(6,27),(6,28),(7,4),(7,27),(7,28),(9,12),(10,13),(11,15),(12,16),(13,14),(14,11),(15,8),(16,8),(17,9),(18,10),(19,14),(19,29),(20,29),(20,30),(21,9),(21,30),(22,15),(22,16),(23,20),(23,21),(24,19),(24,20),(25,13),(25,19),(26,17),(26,21),(27,32),(27,33),(28,18),(28,31),(29,11),(29,22),(30,12),(30,22),(31,10),(31,25),(32,23),(32,24),(33,23),(33,26)],34)
111100100=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33)
111100101=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,26),(4,27),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,24),(21,18),(21,29),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,20),(25,31),(26,20),(26,21),(27,21),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,27),(32,30),(33,9),(33,25),(33,26),(33,30)],34)
111100110=>([(0,5),(0,6),(1,16),(2,1),(2,26),(3,29),(3,30),(4,2),(4,31),(4,32),(5,3),(5,23),(5,24),(6,4),(6,23),(6,24),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,12),(22,17),(23,29),(23,31),(24,30),(24,32),(25,18),(25,19),(26,16),(26,19),(27,10),(27,20),(28,11),(28,20),(29,21),(29,22),(30,21),(30,25),(31,9),(31,22),(32,9),(32,25),(32,26)],33)
111100111=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33)
111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)
111101001=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)
111101010=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)
111101011=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)
111101100=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33)
111101101=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)
111101110=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30)
111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30)
111110000=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30)
111110001=>([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32)
111110010=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32)
111110011=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,1),(3,23),(4,29),(4,30),(5,3),(5,17),(5,31),(6,4),(6,24),(6,25),(7,5),(7,24),(7,25),(9,12),(10,13),(11,15),(12,16),(13,14),(14,11),(15,8),(16,8),(17,10),(18,14),(18,26),(19,26),(19,27),(20,15),(20,16),(21,18),(21,19),(22,13),(22,18),(23,19),(23,28),(24,30),(24,31),(25,17),(25,29),(26,11),(26,20),(27,12),(27,20),(28,9),(28,27),(29,10),(29,22),(30,21),(30,22),(31,21),(31,23)],32)
111110100=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)
111110101=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)
111110110=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30)
111110111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)
111111000=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28)
111111001=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29)
111111010=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)
111111011=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)
111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24)
111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24)
111111110=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18)
111111111=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
1010101010=>([(0,1),(0,2),(1,18),(1,19),(2,18),(2,19),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,16),(12,17),(13,16),(13,17),(14,10),(14,11),(15,10),(15,11),(16,4),(16,5),(17,4),(17,5),(18,14),(18,15),(19,14),(19,15)],20)
1010101100=>([(0,3),(0,4),(1,16),(2,20),(2,21),(3,2),(3,35),(3,36),(4,1),(4,35),(4,36),(6,13),(7,11),(8,14),(9,15),(10,12),(11,8),(12,9),(13,10),(14,5),(15,5),(16,6),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,25),(20,28),(21,6),(21,28),(22,27),(22,34),(23,17),(23,18),(24,7),(24,31),(25,26),(25,30),(26,23),(26,29),(27,24),(27,33),(28,13),(28,30),(29,12),(29,18),(30,10),(30,29),(31,11),(31,17),(32,25),(32,27),(32,34),(33,7),(33,23),(33,31),(34,24),(34,26),(34,33),(35,20),(35,22),(35,32),(36,16),(36,21),(36,22),(36,32)],37)
1010110010=>([(0,3),(0,4),(1,34),(1,35),(2,33),(2,36),(3,1),(3,39),(3,40),(4,2),(4,39),(4,40),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,21),(18,22),(19,18),(19,29),(20,18),(20,30),(21,9),(21,23),(22,8),(22,23),(23,16),(23,17),(24,19),(24,20),(25,19),(25,27),(26,20),(26,28),(27,12),(27,29),(28,11),(28,30),(29,14),(29,21),(30,13),(30,22),(31,15),(31,27),(32,10),(32,28),(33,25),(33,31),(34,24),(34,25),(35,24),(35,26),(36,6),(36,31),(37,7),(37,26),(37,32),(38,6),(38,7),(38,32),(39,33),(39,34),(39,37),(39,38),(40,35),(40,36),(40,37),(40,38)],41)
1010110100=>([(0,3),(0,4),(1,17),(2,25),(2,26),(3,2),(3,36),(3,38),(4,1),(4,36),(4,38),(6,14),(7,10),(8,15),(9,16),(10,11),(11,12),(12,9),(13,8),(14,13),(15,5),(16,5),(17,7),(18,22),(18,23),(19,20),(19,21),(20,18),(20,33),(21,18),(21,32),(22,9),(22,24),(23,8),(23,24),(24,15),(24,16),(25,19),(25,28),(26,19),(26,27),(27,21),(27,30),(28,20),(28,31),(29,6),(29,30),(30,14),(30,32),(31,11),(31,33),(32,13),(32,23),(33,12),(33,22),(34,7),(34,29),(34,35),(35,6),(35,10),(35,31),(36,26),(36,34),(36,37),(37,27),(37,28),(37,29),(37,35),(38,17),(38,25),(38,34),(38,37)],39)
1010111000=>([(0,5),(0,6),(1,2),(1,36),(2,8),(3,4),(3,37),(3,38),(4,26),(4,27),(5,1),(5,39),(5,41),(6,3),(6,39),(6,41),(8,17),(9,12),(10,18),(11,19),(12,13),(13,15),(14,16),(15,10),(16,11),(17,14),(18,7),(19,7),(20,23),(20,24),(21,20),(21,32),(22,20),(22,33),(23,11),(23,25),(24,10),(24,25),(25,18),(25,19),(26,21),(26,22),(27,21),(27,30),(28,22),(28,31),(29,9),(29,35),(30,14),(30,32),(31,13),(31,33),(32,16),(32,23),(33,15),(33,24),(34,17),(34,30),(35,12),(35,31),(36,8),(36,34),(37,27),(37,34),(38,26),(38,28),(39,29),(39,38),(39,40),(40,9),(40,28),(40,35),(41,29),(41,36),(41,37),(41,40)],42)
1011001010=>([(0,3),(0,4),(1,34),(1,35),(2,33),(2,36),(3,1),(3,39),(3,40),(4,2),(4,39),(4,40),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,21),(18,22),(19,18),(19,29),(20,18),(20,30),(21,9),(21,23),(22,8),(22,23),(23,16),(23,17),(24,19),(24,20),(25,19),(25,27),(26,20),(26,28),(27,12),(27,29),(28,11),(28,30),(29,14),(29,21),(30,13),(30,22),(31,15),(31,27),(32,10),(32,28),(33,25),(33,31),(34,24),(34,25),(35,24),(35,26),(36,6),(36,31),(37,7),(37,26),(37,32),(38,6),(38,7),(38,32),(39,33),(39,34),(39,37),(39,38),(40,35),(40,36),(40,37),(40,38)],41)
1011001100=>([(0,3),(0,4),(1,29),(1,36),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,14),(8,15),(9,16),(10,11),(11,12),(12,8),(13,9),(14,10),(15,5),(16,5),(17,20),(17,21),(18,17),(18,28),(19,17),(19,27),(20,9),(20,23),(21,8),(21,23),(22,6),(22,27),(23,15),(23,16),(24,19),(24,22),(25,18),(25,19),(26,18),(26,34),(27,13),(27,20),(28,12),(28,21),(29,26),(29,35),(30,25),(30,26),(31,24),(31,25),(32,7),(32,31),(32,36),(33,7),(33,29),(33,30),(34,6),(34,11),(34,28),(35,10),(35,22),(35,34),(36,14),(36,24),(36,35)],37)
1011010010=>([(0,3),(0,4),(1,34),(1,36),(2,33),(2,35),(3,2),(3,39),(3,40),(4,1),(4,39),(4,40),(6,14),(7,15),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,11),(16,5),(17,5),(18,21),(18,22),(19,18),(19,29),(20,18),(20,30),(21,8),(21,23),(22,9),(22,23),(23,16),(23,17),(24,19),(24,27),(25,20),(25,28),(26,19),(26,20),(27,10),(27,29),(28,11),(28,30),(29,12),(29,21),(30,13),(30,22),(31,14),(31,27),(32,15),(32,28),(33,24),(33,31),(34,25),(34,32),(35,6),(35,31),(36,7),(36,32),(37,6),(37,24),(37,26),(38,7),(38,25),(38,26),(39,33),(39,34),(39,37),(39,38),(40,35),(40,36),(40,37),(40,38)],41)
1011010100=>([(0,3),(0,4),(1,18),(2,25),(2,26),(3,2),(3,35),(3,38),(4,1),(4,35),(4,38),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,7),(19,22),(19,23),(20,19),(20,32),(21,19),(21,31),(22,8),(22,24),(23,9),(23,24),(24,16),(24,17),(25,27),(25,29),(26,6),(26,29),(27,20),(27,33),(28,21),(28,30),(29,15),(29,33),(30,11),(30,31),(31,13),(31,22),(32,14),(32,23),(33,12),(33,32),(34,7),(34,28),(34,37),(35,26),(35,34),(35,36),(36,6),(36,27),(36,28),(36,37),(37,10),(37,20),(37,21),(37,30),(38,18),(38,25),(38,34),(38,36)],39)
1011011000=>([(0,4),(0,5),(1,16),(2,1),(2,22),(3,24),(3,33),(4,2),(4,32),(4,36),(5,3),(5,32),(5,36),(7,13),(8,11),(9,14),(10,15),(11,9),(12,10),(13,12),(14,6),(15,6),(16,7),(17,25),(17,29),(18,9),(18,20),(19,10),(19,20),(20,14),(20,15),(21,23),(21,26),(22,16),(22,28),(23,17),(23,34),(24,23),(24,35),(25,18),(25,19),(26,17),(26,27),(27,8),(27,29),(28,7),(28,30),(29,11),(29,18),(30,13),(30,31),(31,12),(31,19),(32,21),(32,24),(33,26),(33,28),(33,35),(34,8),(34,25),(34,31),(35,27),(35,30),(35,34),(36,21),(36,22),(36,33)],37)
1011100010=>([(0,5),(0,6),(1,4),(1,38),(1,40),(2,3),(2,37),(2,39),(3,29),(3,35),(4,30),(4,36),(5,2),(5,41),(5,42),(6,1),(6,41),(6,42),(8,18),(9,19),(10,20),(11,21),(12,14),(13,15),(14,16),(15,17),(16,10),(17,11),(18,12),(19,13),(20,7),(21,7),(22,25),(22,26),(23,22),(23,33),(24,22),(24,34),(25,10),(25,27),(26,11),(26,27),(27,20),(27,21),(28,23),(28,24),(29,23),(29,31),(30,24),(30,32),(31,14),(31,33),(32,15),(32,34),(33,16),(33,25),(34,17),(34,26),(35,12),(35,31),(36,13),(36,32),(37,28),(37,29),(38,28),(38,30),(39,18),(39,35),(40,19),(40,36),(41,8),(41,9),(41,39),(41,40),(42,8),(42,9),(42,37),(42,38)],43)
1011100100=>([(0,4),(0,5),(1,3),(1,36),(1,38),(2,37),(2,39),(3,26),(3,35),(4,1),(4,40),(4,41),(5,2),(5,40),(5,41),(7,17),(8,14),(9,18),(10,19),(11,13),(12,15),(13,16),(14,12),(15,9),(16,10),(17,11),(18,6),(19,6),(20,23),(20,24),(21,20),(21,33),(22,20),(22,32),(23,9),(23,25),(24,10),(24,25),(25,18),(25,19),(26,21),(26,30),(27,8),(27,31),(28,22),(28,34),(29,21),(29,22),(30,13),(30,33),(31,14),(31,34),(32,15),(32,23),(33,16),(33,24),(34,12),(34,32),(35,11),(35,30),(36,26),(36,29),(37,28),(37,31),(38,17),(38,35),(39,8),(39,28),(39,29),(40,7),(40,27),(40,37),(40,38),(41,7),(41,27),(41,36),(41,39)],42)
1011101000=>([(0,5),(0,6),(1,2),(1,36),(2,8),(3,4),(3,37),(3,38),(4,26),(4,35),(5,1),(5,39),(5,41),(6,3),(6,39),(6,41),(8,17),(9,12),(10,18),(11,19),(12,13),(13,15),(14,16),(15,10),(16,11),(17,14),(18,7),(19,7),(20,23),(20,24),(21,20),(21,32),(22,20),(22,33),(23,10),(23,25),(24,11),(24,25),(25,18),(25,19),(26,21),(26,30),(27,22),(27,31),(28,21),(28,22),(29,27),(29,34),(30,13),(30,32),(31,14),(31,33),(32,15),(32,23),(33,16),(33,24),(34,17),(34,31),(35,12),(35,30),(36,8),(36,34),(37,26),(37,28),(38,9),(38,35),(39,29),(39,38),(39,40),(40,9),(40,27),(40,28),(41,29),(41,36),(41,37),(41,40)],42)
1011110000=>([(0,7),(0,8),(1,3),(1,30),(2,21),(3,2),(3,35),(4,6),(4,31),(4,34),(5,37),(5,38),(6,5),(6,36),(6,39),(7,1),(7,29),(7,40),(8,4),(8,29),(8,40),(10,18),(11,15),(12,19),(13,20),(14,16),(15,14),(16,17),(17,12),(18,13),(19,9),(20,9),(21,10),(22,26),(22,28),(23,12),(23,25),(24,13),(24,25),(25,19),(25,20),(26,10),(26,32),(27,23),(27,24),(28,27),(28,32),(29,11),(29,34),(30,22),(30,35),(31,22),(31,36),(32,18),(32,24),(33,17),(33,23),(34,15),(34,39),(35,21),(35,26),(36,28),(36,37),(37,27),(37,33),(38,16),(38,33),(39,14),(39,38),(40,11),(40,30),(40,31)],41)
1100101010=>([(0,3),(0,4),(1,16),(2,20),(2,21),(3,2),(3,35),(3,36),(4,1),(4,35),(4,36),(6,13),(7,11),(8,14),(9,15),(10,12),(11,8),(12,9),(13,10),(14,5),(15,5),(16,6),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,25),(20,28),(21,6),(21,28),(22,27),(22,34),(23,17),(23,18),(24,7),(24,31),(25,26),(25,30),(26,23),(26,29),(27,24),(27,33),(28,13),(28,30),(29,12),(29,18),(30,10),(30,29),(31,11),(31,17),(32,25),(32,27),(32,34),(33,7),(33,23),(33,31),(34,24),(34,26),(34,33),(35,20),(35,22),(35,32),(36,16),(36,21),(36,22),(36,32)],37)
1100101100=>([(0,3),(0,4),(1,35),(1,37),(2,34),(2,36),(3,2),(3,38),(3,39),(4,1),(4,38),(4,39),(6,12),(7,13),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,20),(16,21),(17,16),(17,32),(18,16),(18,33),(19,17),(19,18),(20,8),(20,22),(21,9),(21,22),(22,14),(22,15),(23,17),(23,30),(24,18),(24,31),(25,6),(25,30),(26,7),(26,31),(27,6),(27,7),(28,19),(28,23),(29,19),(29,24),(30,12),(30,32),(31,13),(31,33),(32,10),(32,20),(33,11),(33,21),(34,25),(34,27),(35,26),(35,27),(36,23),(36,25),(37,24),(37,26),(38,28),(38,29),(38,34),(38,35),(39,28),(39,29),(39,36),(39,37)],40)
1100110010=>([(0,3),(0,4),(1,29),(1,36),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,14),(8,15),(9,16),(10,11),(11,12),(12,8),(13,9),(14,10),(15,5),(16,5),(17,20),(17,21),(18,17),(18,28),(19,17),(19,27),(20,9),(20,23),(21,8),(21,23),(22,6),(22,27),(23,15),(23,16),(24,19),(24,22),(25,18),(25,19),(26,18),(26,34),(27,13),(27,20),(28,12),(28,21),(29,26),(29,35),(30,25),(30,26),(31,24),(31,25),(32,7),(32,31),(32,36),(33,7),(33,29),(33,30),(34,6),(34,11),(34,28),(35,10),(35,22),(35,34),(36,14),(36,24),(36,35)],37)
1100110100=>([(0,3),(0,4),(1,35),(1,37),(2,36),(2,38),(3,1),(3,39),(3,40),(4,2),(4,39),(4,40),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,21),(18,22),(19,18),(19,31),(20,18),(20,32),(21,8),(21,23),(22,9),(22,23),(23,16),(23,17),(24,19),(24,30),(25,27),(25,29),(26,6),(26,29),(27,20),(27,33),(28,19),(28,20),(29,15),(29,33),(30,11),(30,31),(31,13),(31,21),(32,14),(32,22),(33,12),(33,32),(34,10),(34,30),(35,24),(35,28),(36,24),(36,34),(37,7),(37,27),(37,28),(38,6),(38,7),(38,34),(39,25),(39,26),(39,35),(39,36),(40,25),(40,26),(40,37),(40,38)],41)
1100111000=>([(0,5),(0,6),(1,18),(2,4),(2,35),(2,37),(3,1),(3,36),(3,39),(4,27),(4,28),(5,2),(5,29),(5,30),(6,3),(6,29),(6,30),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,22),(19,23),(20,19),(20,33),(21,19),(21,32),(22,10),(22,24),(23,11),(23,24),(24,16),(24,17),(25,8),(25,31),(26,20),(26,31),(27,21),(27,34),(28,20),(28,21),(29,37),(29,39),(30,35),(30,36),(31,15),(31,33),(32,13),(32,22),(33,14),(33,23),(34,12),(34,32),(35,26),(35,28),(36,25),(36,26),(37,27),(37,38),(38,8),(38,9),(38,34),(39,18),(39,25),(39,38)],40)
1101001010=>([(0,3),(0,4),(1,17),(2,25),(2,26),(3,2),(3,36),(3,38),(4,1),(4,36),(4,38),(6,14),(7,10),(8,15),(9,16),(10,11),(11,12),(12,9),(13,8),(14,13),(15,5),(16,5),(17,7),(18,22),(18,23),(19,20),(19,21),(20,18),(20,33),(21,18),(21,32),(22,9),(22,24),(23,8),(23,24),(24,15),(24,16),(25,19),(25,28),(26,19),(26,27),(27,21),(27,30),(28,20),(28,31),(29,6),(29,30),(30,14),(30,32),(31,11),(31,33),(32,13),(32,23),(33,12),(33,22),(34,7),(34,29),(34,35),(35,6),(35,10),(35,31),(36,26),(36,34),(36,37),(37,27),(37,28),(37,29),(37,35),(38,17),(38,25),(38,34),(38,37)],39)
1101001100=>([(0,3),(0,4),(1,35),(1,37),(2,36),(2,38),(3,1),(3,39),(3,40),(4,2),(4,39),(4,40),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,21),(18,22),(19,18),(19,31),(20,18),(20,32),(21,8),(21,23),(22,9),(22,23),(23,16),(23,17),(24,19),(24,30),(25,27),(25,29),(26,6),(26,29),(27,20),(27,33),(28,19),(28,20),(29,15),(29,33),(30,11),(30,31),(31,13),(31,21),(32,14),(32,22),(33,12),(33,32),(34,10),(34,30),(35,24),(35,28),(36,24),(36,34),(37,7),(37,27),(37,28),(38,6),(38,7),(38,34),(39,25),(39,26),(39,35),(39,36),(40,25),(40,26),(40,37),(40,38)],41)
1101010010=>([(0,3),(0,4),(1,18),(2,25),(2,26),(3,2),(3,35),(3,38),(4,1),(4,35),(4,38),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,7),(19,22),(19,23),(20,19),(20,32),(21,19),(21,31),(22,8),(22,24),(23,9),(23,24),(24,16),(24,17),(25,27),(25,29),(26,6),(26,29),(27,20),(27,33),(28,21),(28,30),(29,15),(29,33),(30,11),(30,31),(31,13),(31,22),(32,14),(32,23),(33,12),(33,32),(34,7),(34,28),(34,37),(35,26),(35,34),(35,36),(36,6),(36,27),(36,28),(36,37),(37,10),(37,20),(37,21),(37,30),(38,18),(38,25),(38,34),(38,36)],39)
1101010100=>([(0,3),(0,4),(1,19),(2,18),(3,2),(3,25),(3,32),(4,1),(4,25),(4,32),(6,8),(7,9),(8,10),(9,11),(10,14),(11,15),(12,6),(13,7),(14,16),(15,17),(16,5),(17,5),(18,12),(19,13),(20,22),(20,23),(21,28),(21,29),(22,14),(22,24),(23,15),(23,24),(24,16),(24,17),(25,26),(25,27),(26,12),(26,21),(26,31),(27,13),(27,21),(27,31),(28,8),(28,20),(28,30),(29,9),(29,20),(29,30),(30,10),(30,11),(30,22),(30,23),(31,6),(31,7),(31,28),(31,29),(32,18),(32,19),(32,26),(32,27)],33)
1101011000=>([(0,4),(0,5),(1,18),(2,1),(2,26),(3,27),(3,37),(4,2),(4,38),(4,40),(5,3),(5,38),(5,40),(7,15),(8,11),(9,16),(10,17),(11,12),(12,13),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,22),(19,23),(20,19),(20,35),(21,19),(21,34),(22,10),(22,24),(23,9),(23,24),(24,16),(24,17),(25,29),(25,36),(26,18),(26,31),(27,28),(27,30),(28,20),(28,21),(29,20),(29,32),(30,21),(30,33),(31,7),(31,33),(32,12),(32,35),(33,15),(33,34),(34,14),(34,23),(35,13),(35,22),(36,11),(36,32),(37,8),(37,30),(37,31),(38,25),(38,27),(38,39),(39,8),(39,28),(39,29),(39,36),(40,25),(40,26),(40,37),(40,39)],41)
1101100010=>([(0,4),(0,5),(1,3),(1,36),(1,38),(2,37),(2,39),(3,26),(3,35),(4,1),(4,40),(4,41),(5,2),(5,40),(5,41),(7,17),(8,14),(9,18),(10,19),(11,13),(12,15),(13,16),(14,12),(15,9),(16,10),(17,11),(18,6),(19,6),(20,23),(20,24),(21,20),(21,33),(22,20),(22,32),(23,9),(23,25),(24,10),(24,25),(25,18),(25,19),(26,21),(26,30),(27,8),(27,31),(28,22),(28,34),(29,21),(29,22),(30,13),(30,33),(31,14),(31,34),(32,15),(32,23),(33,16),(33,24),(34,12),(34,32),(35,11),(35,30),(36,26),(36,29),(37,28),(37,31),(38,17),(38,35),(39,8),(39,28),(39,29),(40,7),(40,27),(40,37),(40,38),(41,7),(41,27),(41,36),(41,39)],42)
1101100100=>([(0,3),(0,4),(1,36),(1,38),(2,35),(2,37),(3,2),(3,39),(3,40),(4,1),(4,39),(4,40),(6,14),(7,15),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,11),(16,5),(17,5),(18,21),(18,22),(19,18),(19,31),(20,18),(20,32),(21,8),(21,23),(22,9),(22,23),(23,16),(23,17),(24,6),(24,33),(25,7),(25,34),(26,19),(26,29),(27,20),(27,30),(28,19),(28,20),(29,10),(29,31),(30,11),(30,32),(31,12),(31,21),(32,13),(32,22),(33,14),(33,29),(34,15),(34,30),(35,26),(35,33),(36,27),(36,34),(37,6),(37,26),(37,28),(38,7),(38,27),(38,28),(39,24),(39,25),(39,35),(39,36),(40,24),(40,25),(40,37),(40,38)],41)
1101101000=>([(0,4),(0,5),(1,17),(2,1),(2,26),(3,24),(3,27),(4,2),(4,38),(4,39),(5,3),(5,38),(5,39),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,20),(18,21),(19,29),(19,32),(20,9),(20,23),(21,10),(21,23),(22,7),(22,33),(23,15),(23,16),(24,19),(24,31),(25,22),(25,30),(26,17),(26,22),(27,19),(27,37),(28,18),(28,35),(29,18),(29,34),(30,28),(30,33),(31,8),(31,32),(32,11),(32,34),(33,14),(33,35),(34,12),(34,20),(35,13),(35,21),(36,30),(36,31),(36,37),(37,8),(37,28),(37,29),(38,24),(38,25),(38,36),(39,25),(39,26),(39,27),(39,36)],40)
1101110000=>([(0,6),(0,7),(1,3),(1,32),(2,19),(3,2),(3,37),(4,5),(4,38),(4,40),(5,28),(5,29),(6,1),(6,30),(6,39),(7,4),(7,30),(7,39),(9,16),(10,13),(11,17),(12,18),(13,14),(14,15),(15,11),(16,12),(17,8),(18,8),(19,9),(20,23),(20,24),(21,20),(21,35),(22,20),(22,33),(23,12),(23,25),(24,11),(24,25),(25,17),(25,18),(26,9),(26,33),(27,22),(27,26),(28,21),(28,22),(29,21),(29,34),(30,31),(30,38),(31,10),(31,36),(32,27),(32,37),(33,16),(33,23),(34,14),(34,35),(35,15),(35,24),(36,13),(36,34),(37,19),(37,26),(38,29),(38,36),(39,31),(39,32),(39,40),(40,10),(40,27),(40,28)],41)
1110001010=>([(0,5),(0,6),(1,2),(1,36),(2,8),(3,4),(3,37),(3,38),(4,26),(4,27),(5,1),(5,39),(5,41),(6,3),(6,39),(6,41),(8,17),(9,12),(10,18),(11,19),(12,13),(13,15),(14,16),(15,10),(16,11),(17,14),(18,7),(19,7),(20,23),(20,24),(21,20),(21,32),(22,20),(22,33),(23,11),(23,25),(24,10),(24,25),(25,18),(25,19),(26,21),(26,22),(27,21),(27,30),(28,22),(28,31),(29,9),(29,35),(30,14),(30,32),(31,13),(31,33),(32,16),(32,23),(33,15),(33,24),(34,17),(34,30),(35,12),(35,31),(36,8),(36,34),(37,27),(37,34),(38,26),(38,28),(39,29),(39,38),(39,40),(40,9),(40,28),(40,35),(41,29),(41,36),(41,37),(41,40)],42)
1110001100=>([(0,5),(0,6),(1,18),(2,4),(2,35),(2,37),(3,1),(3,36),(3,39),(4,27),(4,28),(5,2),(5,29),(5,30),(6,3),(6,29),(6,30),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,22),(19,23),(20,19),(20,33),(21,19),(21,32),(22,10),(22,24),(23,11),(23,24),(24,16),(24,17),(25,8),(25,31),(26,20),(26,31),(27,21),(27,34),(28,20),(28,21),(29,37),(29,39),(30,35),(30,36),(31,15),(31,33),(32,13),(32,22),(33,14),(33,23),(34,12),(34,32),(35,26),(35,28),(36,25),(36,26),(37,27),(37,38),(38,8),(38,9),(38,34),(39,18),(39,25),(39,38)],40)
1110010010=>([(0,4),(0,5),(1,16),(2,1),(2,22),(3,24),(3,33),(4,2),(4,32),(4,36),(5,3),(5,32),(5,36),(7,13),(8,11),(9,14),(10,15),(11,9),(12,10),(13,12),(14,6),(15,6),(16,7),(17,25),(17,29),(18,9),(18,20),(19,10),(19,20),(20,14),(20,15),(21,23),(21,26),(22,16),(22,28),(23,17),(23,34),(24,23),(24,35),(25,18),(25,19),(26,17),(26,27),(27,8),(27,29),(28,7),(28,30),(29,11),(29,18),(30,13),(30,31),(31,12),(31,19),(32,21),(32,24),(33,26),(33,28),(33,35),(34,8),(34,25),(34,31),(35,27),(35,30),(35,34),(36,21),(36,22),(36,33)],37)
1110010100=>([(0,4),(0,5),(1,18),(2,1),(2,26),(3,27),(3,37),(4,2),(4,38),(4,40),(5,3),(5,38),(5,40),(7,15),(8,11),(9,16),(10,17),(11,12),(12,13),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,22),(19,23),(20,19),(20,35),(21,19),(21,34),(22,10),(22,24),(23,9),(23,24),(24,16),(24,17),(25,29),(25,36),(26,18),(26,31),(27,28),(27,30),(28,20),(28,21),(29,20),(29,32),(30,21),(30,33),(31,7),(31,33),(32,12),(32,35),(33,15),(33,34),(34,14),(34,23),(35,13),(35,22),(36,11),(36,32),(37,8),(37,30),(37,31),(38,25),(38,27),(38,39),(39,8),(39,28),(39,29),(39,36),(40,25),(40,26),(40,37),(40,39)],41)
1110011000=>([(0,5),(0,6),(1,19),(2,18),(3,2),(3,35),(3,37),(4,1),(4,36),(4,38),(5,3),(5,27),(5,28),(6,4),(6,27),(6,28),(8,14),(9,15),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(19,9),(20,23),(20,24),(21,20),(21,32),(22,20),(22,31),(23,10),(23,25),(24,11),(24,25),(25,16),(25,17),(26,21),(26,22),(27,35),(27,36),(28,37),(28,38),(29,21),(29,34),(30,22),(30,33),(31,12),(31,23),(32,13),(32,24),(33,14),(33,31),(34,15),(34,32),(35,26),(35,29),(36,26),(36,30),(37,18),(37,29),(37,39),(38,19),(38,30),(38,39),(39,8),(39,9),(39,33),(39,34)],40)
1110100010=>([(0,5),(0,6),(1,2),(1,36),(2,8),(3,4),(3,37),(3,38),(4,26),(4,35),(5,1),(5,39),(5,41),(6,3),(6,39),(6,41),(8,17),(9,12),(10,18),(11,19),(12,13),(13,15),(14,16),(15,10),(16,11),(17,14),(18,7),(19,7),(20,23),(20,24),(21,20),(21,32),(22,20),(22,33),(23,10),(23,25),(24,11),(24,25),(25,18),(25,19),(26,21),(26,30),(27,22),(27,31),(28,21),(28,22),(29,27),(29,34),(30,13),(30,32),(31,14),(31,33),(32,15),(32,23),(33,16),(33,24),(34,17),(34,31),(35,12),(35,30),(36,8),(36,34),(37,26),(37,28),(38,9),(38,35),(39,29),(39,38),(39,40),(40,9),(40,27),(40,28),(41,29),(41,36),(41,37),(41,40)],42)
1110100100=>([(0,4),(0,5),(1,17),(2,1),(2,26),(3,24),(3,27),(4,2),(4,38),(4,39),(5,3),(5,38),(5,39),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,20),(18,21),(19,29),(19,32),(20,9),(20,23),(21,10),(21,23),(22,7),(22,33),(23,15),(23,16),(24,19),(24,31),(25,22),(25,30),(26,17),(26,22),(27,19),(27,37),(28,18),(28,35),(29,18),(29,34),(30,28),(30,33),(31,8),(31,32),(32,11),(32,34),(33,14),(33,35),(34,12),(34,20),(35,13),(35,21),(36,30),(36,31),(36,37),(37,8),(37,28),(37,29),(38,24),(38,25),(38,36),(39,25),(39,26),(39,27),(39,36)],40)
1110101000=>([(0,5),(0,6),(1,4),(1,35),(2,3),(2,34),(3,8),(4,9),(5,2),(5,33),(5,39),(6,1),(6,33),(6,39),(8,16),(9,17),(10,18),(11,19),(12,14),(13,15),(14,10),(15,11),(16,12),(17,13),(18,7),(19,7),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,18),(23,19),(24,20),(24,27),(25,20),(25,28),(26,24),(26,25),(27,14),(27,21),(28,15),(28,22),(29,12),(29,27),(30,13),(30,28),(31,16),(31,29),(32,17),(32,30),(33,36),(33,37),(34,8),(34,31),(35,9),(35,32),(36,26),(36,31),(36,38),(37,26),(37,32),(37,38),(38,24),(38,25),(38,29),(38,30),(39,34),(39,35),(39,36),(39,37)],40)
1110110000=>([(0,6),(0,7),(1,3),(1,38),(2,19),(3,4),(3,27),(4,9),(5,2),(5,28),(5,40),(6,5),(6,37),(6,39),(7,1),(7,37),(7,39),(9,16),(10,13),(11,17),(12,18),(13,14),(14,11),(15,12),(16,15),(17,8),(18,8),(19,10),(20,24),(20,25),(21,20),(21,35),(22,20),(22,36),(23,21),(23,33),(24,11),(24,26),(25,12),(25,26),(26,17),(26,18),(27,9),(27,34),(28,23),(28,29),(29,21),(29,22),(30,10),(30,33),(31,22),(31,34),(32,23),(32,30),(33,13),(33,35),(34,16),(34,36),(35,14),(35,24),(36,15),(36,25),(37,28),(37,32),(38,27),(38,31),(39,32),(39,38),(39,40),(40,19),(40,29),(40,30),(40,31)],41)
1111000010=>([(0,7),(0,8),(1,3),(1,30),(2,21),(3,2),(3,35),(4,6),(4,31),(4,34),(5,37),(5,38),(6,5),(6,36),(6,39),(7,1),(7,29),(7,40),(8,4),(8,29),(8,40),(10,18),(11,15),(12,19),(13,20),(14,16),(15,14),(16,17),(17,12),(18,13),(19,9),(20,9),(21,10),(22,26),(22,28),(23,12),(23,25),(24,13),(24,25),(25,19),(25,20),(26,10),(26,32),(27,23),(27,24),(28,27),(28,32),(29,11),(29,34),(30,22),(30,35),(31,22),(31,36),(32,18),(32,24),(33,17),(33,23),(34,15),(34,39),(35,21),(35,26),(36,28),(36,37),(37,27),(37,33),(38,16),(38,33),(39,14),(39,38),(40,11),(40,30),(40,31)],41)
1111000100=>([(0,6),(0,7),(1,3),(1,32),(2,19),(3,2),(3,37),(4,5),(4,38),(4,40),(5,28),(5,29),(6,1),(6,30),(6,39),(7,4),(7,30),(7,39),(9,16),(10,13),(11,17),(12,18),(13,14),(14,15),(15,11),(16,12),(17,8),(18,8),(19,9),(20,23),(20,24),(21,20),(21,35),(22,20),(22,33),(23,12),(23,25),(24,11),(24,25),(25,17),(25,18),(26,9),(26,33),(27,22),(27,26),(28,21),(28,22),(29,21),(29,34),(30,31),(30,38),(31,10),(31,36),(32,27),(32,37),(33,16),(33,23),(34,14),(34,35),(35,15),(35,24),(36,13),(36,34),(37,19),(37,26),(38,29),(38,36),(39,31),(39,32),(39,40),(40,10),(40,27),(40,28)],41)
1111001000=>([(0,6),(0,7),(1,3),(1,38),(2,19),(3,4),(3,27),(4,9),(5,2),(5,28),(5,40),(6,5),(6,37),(6,39),(7,1),(7,37),(7,39),(9,16),(10,13),(11,17),(12,18),(13,14),(14,11),(15,12),(16,15),(17,8),(18,8),(19,10),(20,24),(20,25),(21,20),(21,35),(22,20),(22,36),(23,21),(23,33),(24,11),(24,26),(25,12),(25,26),(26,17),(26,18),(27,9),(27,34),(28,23),(28,29),(29,21),(29,22),(30,10),(30,33),(31,22),(31,34),(32,23),(32,30),(33,13),(33,35),(34,16),(34,36),(35,14),(35,24),(36,15),(36,25),(37,28),(37,32),(38,27),(38,31),(39,32),(39,38),(39,40),(40,19),(40,29),(40,30),(40,31)],41)
1111010000=>([(0,7),(0,8),(1,6),(1,34),(2,5),(2,33),(3,18),(4,19),(5,3),(5,38),(6,4),(6,39),(7,2),(7,37),(7,40),(8,1),(8,37),(8,40),(10,14),(11,15),(12,16),(13,17),(14,12),(15,13),(16,9),(17,9),(18,10),(19,11),(20,25),(20,26),(21,25),(21,27),(22,20),(22,29),(23,21),(23,30),(24,20),(24,21),(25,35),(25,36),(26,14),(26,35),(27,15),(27,36),(28,16),(28,17),(29,10),(29,26),(30,11),(30,27),(31,22),(31,24),(32,23),(32,24),(33,22),(33,38),(34,23),(34,39),(35,12),(35,28),(36,13),(36,28),(37,31),(37,32),(38,18),(38,29),(39,19),(39,30),(40,31),(40,32),(40,33),(40,34)],41)
1111100000=>([(0,9),(0,10),(1,8),(1,28),(2,7),(2,27),(3,18),(4,19),(5,3),(5,34),(6,4),(6,35),(7,5),(7,32),(8,6),(8,33),(9,2),(9,29),(10,1),(10,29),(12,14),(13,15),(14,16),(15,17),(16,11),(17,11),(18,12),(19,13),(20,22),(20,23),(21,25),(21,26),(22,14),(22,24),(23,15),(23,24),(24,16),(24,17),(25,20),(25,30),(26,20),(26,31),(27,21),(27,32),(28,21),(28,33),(29,27),(29,28),(30,12),(30,22),(31,13),(31,23),(32,25),(32,34),(33,26),(33,35),(34,18),(34,30),(35,19),(35,31)],36)
1111111111=>([(0,10),(2,3),(3,5),(4,2),(5,7),(6,4),(7,9),(8,6),(9,1),(10,8)],11)
1111111110=>([(0,2),(0,10),(1,12),(2,11),(3,5),(3,13),(4,3),(4,15),(5,7),(5,14),(6,4),(6,17),(7,9),(7,16),(8,6),(8,19),(9,1),(9,18),(10,8),(10,11),(11,19),(13,14),(14,16),(15,13),(16,18),(17,15),(18,12),(19,17)],20)
1111111001=>([(0,8),(0,9),(1,6),(1,23),(2,20),(3,2),(3,32),(4,3),(4,30),(5,4),(5,31),(6,5),(6,29),(7,11),(7,27),(8,1),(8,19),(8,28),(9,7),(9,19),(9,28),(11,16),(12,18),(13,15),(14,13),(15,12),(16,14),(17,10),(18,10),(19,11),(20,17),(21,17),(21,18),(22,12),(22,21),(23,24),(23,29),(24,14),(24,25),(25,13),(25,26),(26,15),(26,22),(27,16),(27,24),(28,23),(28,27),(29,25),(29,31),(30,22),(30,32),(31,26),(31,30),(32,20),(32,21)],33)
1111101101=>([(0,5),(0,6),(1,3),(1,28),(2,16),(3,2),(3,33),(4,1),(4,24),(4,34),(5,31),(5,32),(6,4),(6,31),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,20),(17,25),(18,13),(18,29),(19,29),(19,30),(20,12),(20,18),(21,14),(21,15),(22,17),(22,35),(23,8),(23,30),(24,17),(24,27),(25,18),(25,19),(26,19),(26,23),(27,9),(27,20),(28,26),(28,33),(29,10),(29,21),(30,11),(30,21),(31,22),(31,24),(32,22),(32,34),(33,16),(33,23),(34,27),(34,28),(34,35),(35,9),(35,25),(35,26)],36)
1111101011=>([(0,5),(0,6),(1,3),(1,26),(2,18),(3,2),(3,34),(4,1),(4,9),(4,29),(5,35),(5,36),(6,4),(6,35),(6,36),(8,11),(9,15),(10,17),(11,16),(12,13),(13,14),(14,10),(15,12),(16,7),(17,7),(18,8),(19,20),(19,23),(20,11),(20,24),(21,19),(21,32),(22,19),(22,25),(23,10),(23,24),(24,16),(24,17),(25,8),(25,20),(26,22),(26,34),(27,21),(27,22),(28,21),(28,31),(29,26),(29,27),(30,28),(30,33),(31,13),(31,32),(32,14),(32,23),(33,12),(33,31),(34,18),(34,25),(35,29),(35,30),(35,37),(36,9),(36,30),(36,37),(37,15),(37,27),(37,28),(37,33)],38)
1111100111=>([(0,6),(0,7),(1,18),(2,1),(2,29),(3,35),(3,36),(4,5),(4,37),(4,38),(5,2),(5,10),(5,28),(6,3),(6,30),(6,31),(7,4),(7,30),(7,31),(9,12),(10,13),(11,17),(12,16),(13,14),(14,15),(15,11),(16,8),(17,8),(18,9),(19,20),(19,23),(20,12),(20,25),(21,19),(21,33),(22,19),(22,24),(23,11),(23,25),(24,9),(24,20),(25,16),(25,17),(26,21),(26,22),(27,21),(27,32),(28,22),(28,29),(29,18),(29,24),(30,36),(30,37),(31,35),(31,38),(32,14),(32,33),(33,15),(33,23),(34,13),(34,32),(35,27),(35,34),(36,26),(36,27),(37,26),(37,28),(38,10),(38,34)],39)
1111100001=>([(0,8),(0,9),(1,4),(1,28),(2,20),(3,2),(3,36),(4,3),(4,35),(5,7),(5,16),(5,31),(6,21),(6,38),(7,6),(7,22),(7,37),(8,1),(8,13),(8,32),(9,5),(9,13),(9,32),(11,15),(12,17),(13,16),(14,18),(15,19),(16,22),(17,14),(18,10),(19,10),(20,11),(21,12),(22,21),(23,27),(23,29),(24,33),(24,34),(25,11),(25,34),(26,18),(26,19),(27,24),(27,25),(28,23),(28,35),(29,24),(29,30),(30,17),(30,33),(31,23),(31,37),(32,28),(32,31),(33,14),(33,26),(34,15),(34,26),(35,27),(35,36),(36,20),(36,25),(37,29),(37,38),(38,12),(38,30)],39)
1110111101=>([(0,4),(0,5),(1,3),(1,25),(1,26),(2,33),(2,34),(3,2),(3,31),(3,32),(4,27),(4,28),(5,1),(5,27),(5,28),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,19),(15,23),(16,19),(16,21),(17,15),(17,16),(18,12),(18,29),(19,7),(19,18),(20,13),(20,14),(21,18),(21,22),(22,29),(22,30),(23,7),(23,8),(24,11),(24,30),(25,15),(25,31),(26,16),(26,32),(27,17),(27,25),(28,17),(28,26),(29,9),(29,20),(30,10),(30,20),(31,23),(31,34),(32,21),(32,33),(33,22),(33,24),(34,8),(34,24)],35)
1110110111=>([(0,3),(0,4),(1,2),(1,32),(1,33),(2,6),(2,7),(3,19),(3,20),(4,1),(4,19),(4,20),(6,11),(7,10),(8,12),(9,13),(10,8),(11,9),(12,14),(13,15),(14,16),(15,17),(16,5),(17,5),(18,23),(18,24),(19,26),(19,32),(20,26),(20,33),(21,12),(21,27),(22,13),(22,28),(23,22),(23,29),(24,21),(24,29),(25,16),(25,17),(26,30),(26,31),(27,14),(27,25),(28,15),(28,25),(29,27),(29,28),(30,10),(30,23),(30,34),(31,11),(31,24),(31,34),(32,7),(32,18),(32,30),(33,6),(33,18),(33,31),(34,8),(34,9),(34,21),(34,22)],35)
1110110001=>([(0,5),(0,6),(1,19),(2,4),(2,20),(2,37),(3,1),(3,38),(3,41),(4,9),(4,36),(5,2),(5,39),(5,40),(6,3),(6,39),(6,40),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,9),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,11),(24,26),(25,10),(25,26),(26,17),(26,18),(27,23),(27,32),(28,8),(28,32),(29,22),(29,23),(30,22),(30,33),(31,27),(31,28),(32,16),(32,34),(33,13),(33,35),(34,15),(34,25),(35,14),(35,24),(36,12),(36,33),(37,30),(37,36),(38,27),(38,29),(39,20),(39,31),(39,38),(40,31),(40,37),(40,41),(41,19),(41,28),(41,29),(41,30)],42)
1110101011=>([(0,3),(0,4),(1,18),(2,1),(2,7),(2,20),(3,32),(3,33),(4,2),(4,32),(4,33),(6,12),(7,8),(8,9),(9,6),(10,13),(11,10),(12,14),(13,16),(14,17),(15,11),(16,5),(17,5),(18,15),(19,30),(19,31),(20,18),(20,25),(21,23),(21,24),(22,10),(22,27),(23,12),(23,28),(24,27),(24,28),(25,15),(25,26),(26,11),(26,22),(27,13),(27,29),(28,14),(28,29),(29,16),(29,17),(30,21),(30,26),(30,35),(31,9),(31,21),(31,35),(32,7),(32,19),(32,34),(33,19),(33,20),(33,34),(34,8),(34,25),(34,30),(34,31),(35,6),(35,22),(35,23),(35,24)],36)
1110100101=>([(0,4),(0,5),(1,18),(2,1),(2,26),(3,27),(3,28),(4,2),(4,38),(4,40),(5,3),(5,38),(5,40),(7,15),(8,11),(9,16),(10,17),(11,12),(12,13),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,23),(19,24),(20,19),(20,35),(21,19),(21,34),(22,20),(22,32),(23,10),(23,25),(24,9),(24,25),(25,16),(25,17),(26,18),(26,30),(27,22),(27,29),(28,22),(28,36),(29,20),(29,21),(30,7),(30,33),(31,21),(31,33),(32,12),(32,35),(33,15),(33,34),(34,14),(34,24),(35,13),(35,23),(36,11),(36,32),(37,8),(37,30),(37,31),(38,28),(38,37),(38,39),(39,8),(39,29),(39,31),(39,36),(40,26),(40,27),(40,37),(40,39)],41)
1110011111=>([(0,6),(0,7),(1,18),(2,1),(2,29),(3,35),(3,36),(4,5),(4,37),(4,38),(5,2),(5,10),(5,28),(6,3),(6,30),(6,31),(7,4),(7,30),(7,31),(9,12),(10,13),(11,17),(12,16),(13,14),(14,15),(15,11),(16,8),(17,8),(18,9),(19,20),(19,23),(20,12),(20,25),(21,19),(21,33),(22,19),(22,24),(23,11),(23,25),(24,9),(24,20),(25,16),(25,17),(26,21),(26,22),(27,21),(27,32),(28,22),(28,29),(29,18),(29,24),(30,36),(30,37),(31,35),(31,38),(32,14),(32,33),(33,15),(33,23),(34,13),(34,32),(35,27),(35,34),(36,26),(36,27),(37,26),(37,28),(38,10),(38,34)],39)
1110011001=>([(0,4),(0,5),(1,16),(2,31),(2,33),(3,1),(3,32),(3,36),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,20),(17,21),(18,17),(18,29),(19,17),(19,30),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,19),(23,35),(24,18),(24,28),(25,18),(25,19),(26,33),(26,36),(27,31),(27,32),(28,7),(28,29),(29,13),(29,20),(30,12),(30,21),(31,23),(31,25),(32,24),(32,25),(33,23),(33,34),(34,8),(34,28),(34,35),(35,7),(35,11),(35,30),(36,16),(36,24),(36,34)],37)
1110001101=>([(0,5),(0,6),(1,20),(2,4),(2,36),(2,37),(3,1),(3,38),(3,41),(4,28),(4,29),(5,2),(5,39),(5,40),(6,3),(6,39),(6,40),(8,16),(9,17),(10,18),(11,19),(12,13),(13,14),(14,11),(15,10),(16,15),(17,12),(18,7),(19,7),(20,8),(21,24),(21,25),(22,21),(22,33),(23,21),(23,34),(24,11),(24,26),(25,10),(25,26),(26,18),(26,19),(27,23),(27,31),(28,22),(28,23),(29,22),(29,32),(30,8),(30,32),(31,13),(31,34),(32,16),(32,33),(33,15),(33,25),(34,14),(34,24),(35,12),(35,31),(36,27),(36,28),(37,29),(37,30),(38,27),(38,35),(39,9),(39,36),(39,38),(40,9),(40,37),(40,41),(41,17),(41,20),(41,30),(41,35)],42)
1110000111=>([(0,6),(0,7),(1,4),(1,29),(1,30),(2,5),(2,27),(2,28),(3,39),(3,40),(4,19),(4,20),(5,3),(5,37),(5,38),(6,1),(6,31),(6,32),(7,2),(7,31),(7,32),(9,16),(10,15),(11,17),(12,18),(13,11),(14,12),(15,13),(16,14),(17,8),(18,8),(19,10),(20,9),(21,11),(21,25),(22,12),(22,25),(23,10),(23,33),(24,9),(24,34),(25,17),(25,18),(26,21),(26,22),(27,23),(27,37),(28,24),(28,38),(29,19),(29,23),(30,20),(30,24),(31,27),(31,29),(32,28),(32,30),(33,15),(33,35),(34,16),(34,36),(35,13),(35,21),(36,14),(36,22),(37,33),(37,39),(38,34),(38,40),(39,26),(39,35),(40,26),(40,36)],41)
1110000001=>([(0,8),(0,9),(1,2),(1,32),(2,11),(3,7),(3,13),(3,31),(4,22),(4,33),(5,4),(5,23),(5,35),(6,5),(6,24),(6,34),(7,6),(7,21),(7,36),(8,3),(8,14),(8,25),(9,1),(9,14),(9,25),(11,15),(12,20),(13,21),(14,13),(15,17),(16,18),(17,16),(18,19),(19,10),(20,10),(21,24),(22,12),(23,22),(24,23),(25,31),(25,32),(26,19),(26,20),(27,17),(27,30),(28,15),(28,27),(29,18),(29,26),(30,16),(30,29),(31,28),(31,36),(32,11),(32,28),(33,12),(33,26),(34,30),(34,35),(35,29),(35,33),(36,27),(36,34)],37)
1101111110=>([(0,6),(0,7),(1,5),(1,24),(1,25),(2,18),(2,32),(3,4),(3,20),(3,34),(4,2),(4,19),(4,33),(5,3),(5,17),(5,31),(6,26),(6,27),(7,1),(7,26),(7,27),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,20),(18,9),(19,18),(20,19),(21,10),(21,28),(22,11),(22,23),(23,15),(23,16),(24,28),(24,31),(25,10),(25,17),(26,21),(26,25),(27,21),(27,24),(28,14),(28,29),(29,12),(29,30),(30,13),(30,22),(31,29),(31,34),(32,9),(32,23),(33,22),(33,32),(34,30),(34,33)],35)
1101111011=>([(0,4),(0,5),(1,3),(1,25),(1,26),(2,33),(2,34),(3,2),(3,31),(3,32),(4,27),(4,28),(5,1),(5,27),(5,28),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,18),(15,22),(16,18),(16,23),(17,15),(17,16),(18,7),(18,8),(19,13),(19,14),(20,11),(20,29),(21,12),(21,30),(22,8),(22,20),(23,7),(23,21),(24,29),(24,30),(25,15),(25,31),(26,16),(26,32),(27,17),(27,25),(28,17),(28,26),(29,9),(29,19),(30,10),(30,19),(31,22),(31,33),(32,23),(32,34),(33,20),(33,24),(34,21),(34,24)],35)
1101101011=>([(0,2),(0,3),(1,23),(1,24),(2,33),(2,34),(3,1),(3,33),(3,34),(5,12),(6,9),(7,13),(8,14),(9,10),(10,7),(11,8),(12,11),(13,4),(14,4),(15,26),(15,30),(16,17),(16,18),(17,7),(17,19),(18,8),(18,19),(19,13),(19,14),(20,21),(20,22),(21,25),(21,27),(22,5),(22,27),(23,15),(23,31),(24,15),(24,32),(25,16),(25,29),(26,16),(26,28),(27,12),(27,29),(28,10),(28,17),(29,11),(29,18),(30,9),(30,28),(31,6),(31,25),(31,26),(32,5),(32,6),(32,30),(33,20),(33,23),(33,35),(34,20),(34,24),(34,35),(35,21),(35,22),(35,31),(35,32)],36)
1101011111=>([(0,5),(0,6),(1,3),(1,26),(2,18),(3,2),(3,34),(4,1),(4,9),(4,29),(5,35),(5,36),(6,4),(6,35),(6,36),(8,11),(9,15),(10,17),(11,16),(12,13),(13,14),(14,10),(15,12),(16,7),(17,7),(18,8),(19,20),(19,23),(20,11),(20,24),(21,19),(21,32),(22,19),(22,25),(23,10),(23,24),(24,16),(24,17),(25,8),(25,20),(26,22),(26,34),(27,21),(27,22),(28,21),(28,31),(29,26),(29,27),(30,28),(30,33),(31,13),(31,32),(32,14),(32,23),(33,12),(33,31),(34,18),(34,25),(35,29),(35,30),(35,37),(36,9),(36,30),(36,37),(37,15),(37,27),(37,28),(37,33)],38)
1101011011=>([(0,2),(0,3),(1,23),(1,24),(2,33),(2,34),(3,1),(3,33),(3,34),(5,12),(6,9),(7,13),(8,14),(9,10),(10,7),(11,8),(12,11),(13,4),(14,4),(15,26),(15,30),(16,17),(16,18),(17,7),(17,19),(18,8),(18,19),(19,13),(19,14),(20,21),(20,22),(21,25),(21,27),(22,5),(22,27),(23,15),(23,31),(24,15),(24,32),(25,16),(25,29),(26,16),(26,28),(27,12),(27,29),(28,10),(28,17),(29,11),(29,18),(30,9),(30,28),(31,6),(31,25),(31,26),(32,5),(32,6),(32,30),(33,20),(33,23),(33,35),(34,20),(34,24),(34,35),(35,21),(35,22),(35,31),(35,32)],36)
1101010111=>([(0,3),(0,4),(1,18),(2,1),(2,7),(2,20),(3,32),(3,33),(4,2),(4,32),(4,33),(6,12),(7,8),(8,9),(9,6),(10,13),(11,10),(12,14),(13,16),(14,17),(15,11),(16,5),(17,5),(18,15),(19,30),(19,31),(20,18),(20,25),(21,23),(21,24),(22,10),(22,27),(23,12),(23,28),(24,27),(24,28),(25,15),(25,26),(26,11),(26,22),(27,13),(27,29),(28,14),(28,29),(29,16),(29,17),(30,21),(30,26),(30,35),(31,9),(31,21),(31,35),(32,7),(32,19),(32,34),(33,19),(33,20),(33,34),(34,8),(34,25),(34,30),(34,31),(35,6),(35,22),(35,23),(35,24)],36)
1101010101=>([(0,2),(0,3),(1,13),(2,20),(2,26),(3,1),(3,20),(3,26),(5,8),(6,11),(7,5),(8,9),(9,6),(10,12),(11,4),(12,4),(13,7),(14,17),(14,22),(15,11),(15,12),(16,18),(16,25),(17,16),(17,24),(18,19),(18,23),(19,10),(19,15),(20,14),(20,21),(21,7),(21,17),(21,22),(22,5),(22,16),(22,24),(23,6),(23,10),(23,15),(24,8),(24,18),(24,25),(25,9),(25,19),(25,23),(26,13),(26,14),(26,21)],27)
1101010011=>([(0,3),(0,4),(1,33),(1,34),(2,18),(2,19),(3,1),(3,37),(3,38),(4,2),(4,37),(4,38),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,7),(19,6),(20,23),(20,24),(21,20),(21,31),(22,20),(22,30),(23,9),(23,25),(24,8),(24,25),(25,16),(25,17),(26,22),(26,28),(27,21),(27,29),(28,12),(28,30),(29,11),(29,31),(30,14),(30,23),(31,13),(31,24),(32,15),(32,28),(33,26),(33,32),(34,6),(34,32),(35,26),(35,27),(35,39),(36,7),(36,27),(36,39),(37,18),(37,33),(37,35),(37,36),(38,19),(38,34),(38,35),(38,36),(39,10),(39,21),(39,22),(39,29)],40)
1101010001=>([(0,4),(0,5),(1,19),(2,3),(2,20),(2,34),(3,8),(3,22),(4,1),(4,35),(4,38),(5,2),(5,35),(5,38),(7,14),(8,13),(9,7),(10,11),(11,15),(12,16),(13,10),(14,12),(15,17),(16,18),(17,6),(18,6),(19,9),(20,8),(21,24),(21,26),(22,13),(22,32),(23,25),(23,32),(24,14),(24,31),(25,30),(25,33),(26,31),(26,33),(27,17),(27,18),(28,16),(28,27),(29,15),(29,27),(30,11),(30,29),(31,12),(31,28),(32,10),(32,30),(33,28),(33,29),(34,22),(34,23),(35,20),(35,36),(35,37),(36,21),(36,23),(36,39),(37,9),(37,21),(37,39),(38,19),(38,34),(38,36),(38,37),(39,7),(39,24),(39,25),(39,26)],40)
1101001011=>([(0,3),(0,4),(1,35),(1,36),(2,18),(2,19),(3,1),(3,37),(3,38),(4,2),(4,37),(4,38),(6,15),(7,14),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,11),(16,5),(17,5),(18,7),(19,6),(20,23),(20,24),(21,20),(21,31),(22,20),(22,32),(23,8),(23,25),(24,9),(24,25),(25,16),(25,17),(26,21),(26,22),(27,21),(27,29),(28,22),(28,30),(29,10),(29,31),(30,11),(30,32),(31,12),(31,23),(32,13),(32,24),(33,14),(33,29),(34,15),(34,30),(35,26),(35,27),(36,26),(36,28),(37,18),(37,35),(37,39),(37,40),(38,19),(38,36),(38,39),(38,40),(39,27),(39,28),(39,33),(39,34),(40,6),(40,7),(40,33),(40,34)],41)
1101000011=>([(0,5),(0,6),(1,20),(1,21),(2,3),(2,38),(2,39),(3,4),(3,29),(3,37),(4,24),(4,32),(5,1),(5,40),(5,41),(6,2),(6,40),(6,41),(8,17),(9,12),(10,18),(11,19),(12,13),(13,15),(14,16),(15,10),(16,11),(17,14),(18,7),(19,7),(20,9),(21,8),(22,25),(22,26),(23,22),(23,34),(24,22),(24,35),(25,11),(25,27),(26,10),(26,27),(27,18),(27,19),(28,23),(28,36),(29,23),(29,24),(30,28),(30,33),(31,8),(31,33),(32,13),(32,35),(33,17),(33,36),(34,16),(34,25),(35,15),(35,26),(36,14),(36,34),(37,12),(37,32),(38,9),(38,37),(39,28),(39,29),(40,20),(40,30),(40,31),(40,38),(41,21),(41,30),(41,31),(41,39)],42)
1100101011=>([(0,3),(0,4),(1,33),(1,34),(2,18),(2,19),(3,1),(3,37),(3,38),(4,2),(4,37),(4,38),(6,15),(7,10),(8,16),(9,17),(10,11),(11,13),(12,14),(13,8),(14,9),(15,12),(16,5),(17,5),(18,7),(19,6),(20,23),(20,24),(21,20),(21,31),(22,20),(22,30),(23,9),(23,25),(24,8),(24,25),(25,16),(25,17),(26,22),(26,28),(27,21),(27,29),(28,12),(28,30),(29,11),(29,31),(30,14),(30,23),(31,13),(31,24),(32,15),(32,28),(33,26),(33,32),(34,6),(34,32),(35,26),(35,27),(35,39),(36,7),(36,27),(36,39),(37,18),(37,33),(37,35),(37,36),(38,19),(38,34),(38,35),(38,36),(39,10),(39,21),(39,22),(39,29)],40)
1100001011=>([(0,5),(0,6),(1,20),(1,21),(2,3),(2,38),(2,39),(3,4),(3,29),(3,37),(4,24),(4,32),(5,1),(5,40),(5,41),(6,2),(6,40),(6,41),(8,17),(9,12),(10,18),(11,19),(12,13),(13,15),(14,16),(15,10),(16,11),(17,14),(18,7),(19,7),(20,9),(21,8),(22,25),(22,26),(23,22),(23,34),(24,22),(24,35),(25,11),(25,27),(26,10),(26,27),(27,18),(27,19),(28,23),(28,36),(29,23),(29,24),(30,28),(30,33),(31,8),(31,33),(32,13),(32,35),(33,17),(33,36),(34,16),(34,25),(35,15),(35,26),(36,14),(36,34),(37,12),(37,32),(38,9),(38,37),(39,28),(39,29),(40,20),(40,30),(40,31),(40,38),(41,21),(41,30),(41,31),(41,39)],42)
1011111110=>([(0,7),(0,8),(1,3),(1,12),(1,24),(2,20),(2,28),(3,5),(3,19),(3,27),(4,6),(4,21),(4,29),(5,4),(5,23),(5,31),(6,2),(6,22),(6,30),(7,25),(7,26),(8,1),(8,25),(8,26),(10,15),(11,10),(12,19),(13,14),(14,16),(15,13),(16,17),(17,9),(18,9),(19,23),(20,18),(21,22),(22,20),(23,21),(24,10),(24,27),(25,11),(25,12),(26,11),(26,24),(27,15),(27,31),(28,17),(28,18),(29,14),(29,30),(30,16),(30,28),(31,13),(31,29)],32)
1011111101=>([(0,6),(0,7),(1,5),(1,23),(1,24),(2,27),(2,28),(3,4),(3,29),(3,30),(4,2),(4,33),(4,34),(5,3),(5,31),(5,32),(6,25),(6,26),(7,1),(7,25),(7,26),(9,18),(10,17),(11,19),(12,20),(13,15),(14,16),(15,11),(16,12),(17,13),(18,14),(19,8),(20,8),(21,9),(21,10),(22,19),(22,20),(23,10),(23,31),(24,9),(24,32),(25,21),(25,23),(26,21),(26,24),(27,11),(27,22),(28,12),(28,22),(29,13),(29,33),(30,14),(30,34),(31,17),(31,29),(32,18),(32,30),(33,15),(33,27),(34,16),(34,28)],35)
1011110111=>([(0,4),(0,5),(1,3),(1,25),(1,26),(2,33),(2,34),(3,2),(3,31),(3,32),(4,27),(4,28),(5,1),(5,27),(5,28),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,19),(15,23),(16,19),(16,21),(17,15),(17,16),(18,12),(18,29),(19,7),(19,18),(20,13),(20,14),(21,18),(21,22),(22,29),(22,30),(23,7),(23,8),(24,11),(24,30),(25,15),(25,31),(26,16),(26,32),(27,17),(27,25),(28,17),(28,26),(29,9),(29,20),(30,10),(30,20),(31,23),(31,34),(32,21),(32,33),(33,22),(33,24),(34,8),(34,24)],35)
1011110001=>([(0,6),(0,7),(1,4),(1,9),(1,29),(2,5),(2,30),(2,34),(3,37),(3,38),(4,22),(4,35),(5,3),(5,36),(5,39),(6,1),(6,40),(6,41),(7,2),(7,40),(7,41),(9,22),(10,19),(11,15),(12,20),(13,21),(14,16),(15,14),(16,18),(17,13),(18,12),(19,17),(20,8),(21,8),(22,10),(23,27),(23,32),(24,13),(24,26),(25,12),(25,26),(26,20),(26,21),(27,28),(27,31),(28,24),(28,25),(29,23),(29,35),(30,23),(30,36),(31,17),(31,24),(32,19),(32,31),(33,18),(33,25),(34,15),(34,39),(35,10),(35,32),(36,27),(36,37),(37,28),(37,33),(38,16),(38,33),(39,14),(39,38),(40,11),(40,29),(40,30),(41,9),(41,11),(41,34)],42)
1011100101=>([(0,4),(0,5),(1,36),(1,37),(2,3),(2,38),(2,39),(3,27),(3,35),(4,1),(4,40),(4,41),(5,2),(5,40),(5,41),(7,16),(8,11),(9,17),(10,18),(11,12),(12,14),(13,15),(14,9),(15,10),(16,13),(17,6),(18,6),(19,22),(19,23),(20,19),(20,32),(21,19),(21,33),(22,10),(22,24),(23,9),(23,24),(24,17),(24,18),(25,20),(25,21),(26,20),(26,30),(27,21),(27,31),(28,7),(28,34),(29,7),(29,8),(30,13),(30,32),(31,12),(31,33),(32,15),(32,22),(33,14),(33,23),(34,16),(34,30),(35,11),(35,31),(36,26),(36,34),(37,25),(37,26),(38,8),(38,35),(39,25),(39,27),(40,28),(40,29),(40,36),(40,38),(41,28),(41,29),(41,37),(41,39)],42)
1011011111=>([(0,5),(0,6),(1,3),(1,28),(2,16),(3,2),(3,33),(4,1),(4,24),(4,34),(5,31),(5,32),(6,4),(6,31),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,20),(17,25),(18,13),(18,29),(19,29),(19,30),(20,12),(20,18),(21,14),(21,15),(22,17),(22,35),(23,8),(23,30),(24,17),(24,27),(25,18),(25,19),(26,19),(26,23),(27,9),(27,20),(28,26),(28,33),(29,10),(29,21),(30,11),(30,21),(31,22),(31,24),(32,22),(32,34),(33,16),(33,23),(34,27),(34,28),(34,35),(35,9),(35,25),(35,26)],36)
1011011001=>([(0,3),(0,4),(1,31),(1,36),(2,16),(2,30),(3,1),(3,33),(3,34),(4,2),(4,33),(4,34),(6,13),(7,12),(8,14),(9,15),(10,11),(11,9),(12,8),(13,10),(14,5),(15,5),(16,6),(17,18),(17,35),(18,23),(18,26),(19,9),(19,21),(20,8),(20,21),(21,14),(21,15),(22,18),(22,24),(23,19),(23,20),(24,7),(24,26),(25,17),(25,22),(26,12),(26,20),(27,13),(27,28),(28,10),(28,29),(29,11),(29,19),(30,6),(30,27),(31,17),(31,32),(32,24),(32,28),(32,35),(33,25),(33,30),(33,36),(34,16),(34,25),(34,31),(35,7),(35,23),(35,29),(36,22),(36,27),(36,32)],37)
1011001101=>([(0,3),(0,4),(1,36),(1,37),(2,32),(2,33),(3,1),(3,34),(3,35),(4,2),(4,34),(4,35),(6,15),(7,14),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,11),(16,5),(17,5),(18,21),(18,22),(19,18),(19,29),(20,18),(20,28),(21,8),(21,23),(22,9),(22,23),(23,16),(23,17),(24,19),(24,31),(25,20),(25,30),(26,19),(26,20),(27,6),(27,7),(28,12),(28,21),(29,13),(29,22),(30,10),(30,28),(31,11),(31,29),(32,24),(32,26),(33,25),(33,26),(34,27),(34,32),(34,36),(35,27),(35,33),(35,37),(36,7),(36,24),(36,38),(37,6),(37,25),(37,38),(38,14),(38,15),(38,30),(38,31)],39)
1011000111=>([(0,5),(0,6),(1,20),(2,4),(2,36),(2,37),(3,1),(3,38),(3,41),(4,28),(4,29),(5,2),(5,39),(5,40),(6,3),(6,39),(6,40),(8,16),(9,17),(10,18),(11,19),(12,13),(13,14),(14,11),(15,10),(16,15),(17,12),(18,7),(19,7),(20,8),(21,24),(21,25),(22,21),(22,33),(23,21),(23,34),(24,11),(24,26),(25,10),(25,26),(26,18),(26,19),(27,23),(27,31),(28,22),(28,23),(29,22),(29,32),(30,8),(30,32),(31,13),(31,34),(32,16),(32,33),(33,15),(33,25),(34,14),(34,24),(35,12),(35,31),(36,27),(36,28),(37,29),(37,30),(38,27),(38,35),(39,9),(39,36),(39,38),(40,9),(40,37),(40,41),(41,17),(41,20),(41,30),(41,35)],42)
1011000001=>([(0,6),(0,7),(1,30),(1,34),(2,4),(2,9),(2,29),(3,21),(3,36),(4,5),(4,20),(4,35),(5,3),(5,22),(5,37),(6,2),(6,38),(6,39),(7,1),(7,38),(7,39),(9,20),(10,13),(11,14),(12,19),(13,18),(14,15),(15,16),(16,17),(17,12),(18,8),(19,8),(20,22),(21,10),(22,21),(23,28),(23,33),(24,12),(24,25),(25,18),(25,19),(26,24),(26,27),(27,13),(27,25),(28,26),(28,32),(29,23),(29,35),(30,23),(30,31),(31,15),(31,33),(32,17),(32,24),(33,16),(33,32),(34,14),(34,31),(35,28),(35,37),(36,10),(36,27),(37,26),(37,36),(38,11),(38,29),(38,30),(39,9),(39,11),(39,34)],40)
1010111110=>([(0,5),(0,6),(1,4),(1,8),(1,27),(2,19),(2,33),(3,2),(3,20),(3,34),(4,3),(4,18),(4,32),(5,35),(5,36),(6,1),(6,35),(6,36),(8,18),(9,12),(10,13),(11,17),(12,16),(13,14),(14,15),(15,11),(16,7),(17,7),(18,20),(19,9),(20,19),(21,11),(21,22),(22,16),(22,17),(23,12),(23,22),(24,21),(24,23),(25,24),(25,30),(26,25),(26,29),(27,26),(27,32),(28,10),(28,31),(29,14),(29,30),(30,15),(30,21),(31,13),(31,29),(32,25),(32,34),(33,9),(33,23),(34,24),(34,33),(35,27),(35,28),(35,37),(36,8),(36,28),(36,37),(37,10),(37,26),(37,31)],38)
1010110101=>([(0,2),(0,3),(1,27),(1,28),(2,32),(2,33),(3,1),(3,32),(3,33),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,16),(13,17),(14,16),(14,18),(15,13),(15,14),(16,30),(16,31),(17,9),(17,30),(18,10),(18,31),(19,6),(19,17),(20,5),(20,18),(21,5),(21,6),(22,11),(22,12),(23,19),(23,21),(24,20),(24,21),(25,13),(25,19),(26,14),(26,20),(27,15),(27,25),(28,15),(28,26),(29,23),(29,24),(30,7),(30,22),(31,8),(31,22),(32,27),(32,29),(32,34),(33,28),(33,29),(33,34),(34,23),(34,24),(34,25),(34,26)],35)
1010101011=>([(0,2),(0,3),(1,13),(2,20),(2,26),(3,1),(3,20),(3,26),(5,8),(6,11),(7,5),(8,9),(9,6),(10,12),(11,4),(12,4),(13,7),(14,17),(14,22),(15,11),(15,12),(16,18),(16,25),(17,16),(17,24),(18,19),(18,23),(19,10),(19,15),(20,14),(20,21),(21,7),(21,17),(21,22),(22,5),(22,16),(22,24),(23,6),(23,10),(23,15),(24,8),(24,18),(24,25),(25,9),(25,19),(25,23),(26,13),(26,14),(26,21)],27)
1010011101=>([(0,4),(0,5),(1,36),(1,37),(2,3),(2,38),(2,39),(3,27),(3,35),(4,1),(4,40),(4,41),(5,2),(5,40),(5,41),(7,16),(8,11),(9,17),(10,18),(11,12),(12,14),(13,15),(14,9),(15,10),(16,13),(17,6),(18,6),(19,22),(19,23),(20,19),(20,32),(21,19),(21,33),(22,10),(22,24),(23,9),(23,24),(24,17),(24,18),(25,20),(25,21),(26,20),(26,30),(27,21),(27,31),(28,7),(28,34),(29,7),(29,8),(30,13),(30,32),(31,12),(31,33),(32,15),(32,22),(33,14),(33,23),(34,16),(34,30),(35,11),(35,31),(36,26),(36,34),(37,25),(37,26),(38,8),(38,35),(39,25),(39,27),(40,28),(40,29),(40,36),(40,38),(41,28),(41,29),(41,37),(41,39)],42)
1010010111=>([(0,4),(0,5),(1,18),(2,1),(2,26),(3,27),(3,28),(4,2),(4,38),(4,40),(5,3),(5,38),(5,40),(7,15),(8,11),(9,16),(10,17),(11,12),(12,13),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,23),(19,24),(20,19),(20,35),(21,19),(21,34),(22,20),(22,32),(23,10),(23,25),(24,9),(24,25),(25,16),(25,17),(26,18),(26,30),(27,22),(27,29),(28,22),(28,36),(29,20),(29,21),(30,7),(30,33),(31,21),(31,33),(32,12),(32,35),(33,15),(33,34),(34,14),(34,24),(35,13),(35,23),(36,11),(36,32),(37,8),(37,30),(37,31),(38,28),(38,37),(38,39),(39,8),(39,29),(39,31),(39,36),(40,26),(40,27),(40,37),(40,39)],41)
1010010001=>([(0,3),(0,4),(1,2),(1,35),(1,36),(2,6),(2,19),(3,32),(3,33),(4,1),(4,32),(4,33),(6,14),(7,12),(8,7),(9,8),(10,15),(11,16),(12,10),(13,11),(14,13),(15,17),(16,18),(17,5),(18,5),(19,14),(19,22),(20,23),(20,31),(21,24),(21,31),(22,13),(22,29),(23,12),(23,26),(24,29),(24,30),(25,17),(25,18),(26,10),(26,27),(27,15),(27,25),(28,16),(28,25),(29,11),(29,28),(30,27),(30,28),(31,26),(31,30),(32,9),(32,34),(32,36),(33,9),(33,34),(33,35),(34,8),(34,21),(34,37),(35,6),(35,20),(35,21),(36,19),(36,20),(36,37),(37,7),(37,22),(37,23),(37,24)],38)
1010000101=>([(0,4),(0,5),(1,3),(1,23),(1,24),(2,34),(2,35),(3,2),(3,32),(3,33),(4,36),(4,37),(5,1),(5,36),(5,37),(7,16),(8,15),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,9),(19,21),(20,10),(20,21),(21,17),(21,18),(22,19),(22,20),(23,30),(23,32),(24,31),(24,33),(25,7),(25,8),(26,11),(26,28),(27,12),(27,29),(28,13),(28,19),(29,14),(29,20),(30,15),(30,26),(31,16),(31,27),(32,26),(32,34),(33,27),(33,35),(34,22),(34,28),(35,22),(35,29),(36,23),(36,25),(36,38),(37,24),(37,25),(37,38),(38,7),(38,8),(38,30),(38,31)],39)
1001111111=>([(0,8),(0,9),(1,6),(1,23),(2,20),(3,2),(3,32),(4,3),(4,30),(5,4),(5,31),(6,5),(6,29),(7,11),(7,27),(8,1),(8,19),(8,28),(9,7),(9,19),(9,28),(11,16),(12,18),(13,15),(14,13),(15,12),(16,14),(17,10),(18,10),(19,11),(20,17),(21,17),(21,18),(22,12),(22,21),(23,24),(23,29),(24,14),(24,25),(25,13),(25,26),(26,15),(26,22),(27,16),(27,24),(28,23),(28,27),(29,25),(29,31),(30,22),(30,32),(31,26),(31,30),(32,20),(32,21)],33)
1001111110=>([(0,7),(0,8),(1,17),(1,28),(2,4),(2,16),(2,27),(3,21),(3,35),(4,6),(4,20),(4,36),(5,3),(5,22),(5,34),(6,5),(6,23),(6,33),(7,2),(7,24),(7,25),(8,1),(8,24),(8,25),(10,19),(11,13),(12,14),(13,15),(14,11),(15,18),(16,20),(17,12),(18,9),(19,9),(20,23),(21,10),(22,21),(23,22),(24,16),(24,17),(25,27),(25,28),(26,18),(26,19),(27,32),(27,36),(28,12),(28,32),(29,11),(29,30),(30,13),(30,31),(31,15),(31,26),(32,14),(32,29),(33,30),(33,34),(34,31),(34,35),(35,10),(35,26),(36,29),(36,33)],37)
1001111001=>([(0,5),(0,6),(1,35),(1,36),(2,3),(2,37),(2,38),(3,4),(3,27),(3,28),(4,19),(4,20),(5,1),(5,29),(5,30),(6,2),(6,29),(6,30),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,21),(18,22),(19,18),(19,33),(20,18),(20,34),(21,10),(21,23),(22,11),(22,23),(23,16),(23,17),(24,9),(24,31),(25,8),(25,32),(26,8),(26,9),(27,19),(27,31),(28,20),(28,32),(29,35),(29,37),(30,36),(30,38),(31,14),(31,33),(32,15),(32,34),(33,12),(33,21),(34,13),(34,22),(35,24),(35,26),(36,25),(36,26),(37,24),(37,27),(38,25),(38,28)],39)
1001101101=>([(0,3),(0,4),(1,31),(1,36),(2,16),(2,30),(3,1),(3,33),(3,34),(4,2),(4,33),(4,34),(6,13),(7,12),(8,14),(9,15),(10,11),(11,9),(12,8),(13,10),(14,5),(15,5),(16,6),(17,18),(17,35),(18,23),(18,26),(19,9),(19,21),(20,8),(20,21),(21,14),(21,15),(22,18),(22,24),(23,19),(23,20),(24,7),(24,26),(25,17),(25,22),(26,12),(26,20),(27,13),(27,28),(28,10),(28,29),(29,11),(29,19),(30,6),(30,27),(31,17),(31,32),(32,24),(32,28),(32,35),(33,25),(33,30),(33,36),(34,16),(34,25),(34,31),(35,7),(35,23),(35,29),(36,22),(36,27),(36,32)],37)
1001100111=>([(0,4),(0,5),(1,16),(2,31),(2,33),(3,1),(3,32),(3,36),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,20),(17,21),(18,17),(18,29),(19,17),(19,30),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,19),(23,35),(24,18),(24,28),(25,18),(25,19),(26,33),(26,36),(27,31),(27,32),(28,7),(28,29),(29,13),(29,20),(30,12),(30,21),(31,23),(31,25),(32,24),(32,25),(33,23),(33,34),(34,8),(34,28),(34,35),(35,7),(35,11),(35,30),(36,16),(36,24),(36,34)],37)
1001100001=>([(0,5),(0,6),(1,36),(1,37),(2,3),(2,38),(2,39),(3,4),(3,8),(3,30),(4,17),(4,34),(5,1),(5,27),(5,28),(6,2),(6,27),(6,28),(8,17),(9,13),(10,18),(11,19),(12,15),(13,14),(14,16),(15,10),(16,11),(17,12),(18,7),(19,7),(20,23),(20,24),(21,20),(21,33),(22,20),(22,31),(23,10),(23,25),(24,11),(24,25),(25,18),(25,19),(26,21),(26,32),(27,37),(27,38),(28,36),(28,39),(29,21),(29,22),(30,22),(30,34),(31,15),(31,23),(32,14),(32,33),(33,16),(33,24),(34,12),(34,31),(35,13),(35,32),(36,26),(36,35),(37,26),(37,29),(38,9),(38,29),(38,30),(39,8),(39,9),(39,35)],40)
1001011110=>([(0,5),(0,6),(1,21),(1,39),(2,3),(2,20),(2,38),(3,4),(3,9),(3,30),(4,16),(4,36),(5,1),(5,40),(5,41),(6,2),(6,40),(6,41),(8,17),(9,16),(10,18),(11,19),(12,14),(13,15),(14,10),(15,11),(16,12),(17,13),(18,7),(19,7),(20,9),(21,8),(22,26),(22,27),(23,22),(23,35),(24,22),(24,33),(25,23),(25,34),(26,10),(26,28),(27,11),(27,28),(28,18),(28,19),(29,23),(29,24),(30,24),(30,36),(31,25),(31,37),(32,25),(32,29),(33,14),(33,26),(34,13),(34,35),(35,15),(35,27),(36,12),(36,33),(37,17),(37,34),(38,29),(38,30),(39,8),(39,37),(40,31),(40,32),(40,38),(40,39),(41,20),(41,21),(41,31),(41,32)],42)
1000111110=>([(0,7),(0,8),(1,6),(1,13),(1,33),(2,4),(2,12),(2,32),(3,21),(3,38),(4,23),(4,39),(5,3),(5,20),(5,37),(6,5),(6,22),(6,36),(7,1),(7,34),(7,35),(8,2),(8,34),(8,35),(10,16),(11,14),(12,23),(13,22),(14,15),(15,17),(16,18),(17,19),(18,9),(19,9),(20,21),(21,10),(22,20),(23,11),(24,15),(24,25),(25,17),(25,29),(26,28),(26,30),(27,16),(27,29),(28,14),(28,24),(29,18),(29,19),(30,24),(30,31),(31,25),(31,27),(32,26),(32,39),(33,26),(33,36),(34,32),(34,33),(35,12),(35,13),(36,30),(36,37),(37,31),(37,38),(38,10),(38,27),(39,11),(39,28)],40)
1000111101=>([(0,6),(0,7),(1,4),(1,9),(1,29),(2,5),(2,30),(2,34),(3,37),(3,38),(4,22),(4,35),(5,3),(5,36),(5,39),(6,1),(6,40),(6,41),(7,2),(7,40),(7,41),(9,22),(10,19),(11,15),(12,20),(13,21),(14,16),(15,14),(16,18),(17,13),(18,12),(19,17),(20,8),(21,8),(22,10),(23,27),(23,32),(24,13),(24,26),(25,12),(25,26),(26,20),(26,21),(27,28),(27,31),(28,24),(28,25),(29,23),(29,35),(30,23),(30,36),(31,17),(31,24),(32,19),(32,31),(33,18),(33,25),(34,15),(34,39),(35,10),(35,32),(36,27),(36,37),(37,28),(37,33),(38,16),(38,33),(39,14),(39,38),(40,11),(40,29),(40,30),(41,9),(41,11),(41,34)],42)
1000110111=>([(0,5),(0,6),(1,19),(2,4),(2,20),(2,37),(3,1),(3,38),(3,41),(4,9),(4,36),(5,2),(5,39),(5,40),(6,3),(6,39),(6,40),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,9),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,11),(24,26),(25,10),(25,26),(26,17),(26,18),(27,23),(27,32),(28,8),(28,32),(29,22),(29,23),(30,22),(30,33),(31,27),(31,28),(32,16),(32,34),(33,13),(33,35),(34,15),(34,25),(35,14),(35,24),(36,12),(36,33),(37,30),(37,36),(38,27),(38,29),(39,20),(39,31),(39,38),(40,31),(40,37),(40,41),(41,19),(41,28),(41,29),(41,30)],42)
1000110001=>([(0,4),(0,5),(1,33),(1,34),(2,3),(2,35),(2,36),(3,27),(3,28),(4,1),(4,29),(4,30),(5,2),(5,29),(5,30),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,17),(15,18),(16,17),(16,19),(17,31),(17,32),(18,11),(18,31),(19,12),(19,32),(20,8),(20,18),(21,7),(21,19),(22,7),(22,8),(23,13),(23,14),(24,15),(24,16),(25,15),(25,20),(26,16),(26,21),(27,20),(27,22),(28,21),(28,22),(29,33),(29,35),(30,34),(30,36),(31,9),(31,23),(32,10),(32,23),(33,24),(33,25),(34,24),(34,26),(35,25),(35,27),(36,26),(36,28)],37)
1000101110=>([(0,5),(0,6),(1,4),(1,21),(1,40),(2,3),(2,20),(2,39),(3,8),(3,37),(4,9),(4,38),(5,2),(5,41),(5,42),(6,1),(6,41),(6,42),(8,16),(9,17),(10,18),(11,19),(12,14),(13,15),(14,10),(15,11),(16,12),(17,13),(18,7),(19,7),(20,8),(21,9),(22,26),(22,27),(23,22),(23,35),(24,22),(24,36),(25,23),(25,24),(26,10),(26,28),(27,11),(27,28),(28,18),(28,19),(29,23),(29,33),(30,24),(30,34),(31,25),(31,29),(32,25),(32,30),(33,12),(33,35),(34,13),(34,36),(35,14),(35,26),(36,15),(36,27),(37,16),(37,33),(38,17),(38,34),(39,29),(39,37),(40,30),(40,38),(41,31),(41,32),(41,39),(41,40),(42,20),(42,21),(42,31),(42,32)],43)
1000101011=>([(0,4),(0,5),(1,19),(2,3),(2,20),(2,34),(3,8),(3,22),(4,1),(4,35),(4,38),(5,2),(5,35),(5,38),(7,14),(8,13),(9,7),(10,11),(11,15),(12,16),(13,10),(14,12),(15,17),(16,18),(17,6),(18,6),(19,9),(20,8),(21,24),(21,26),(22,13),(22,32),(23,25),(23,32),(24,14),(24,31),(25,30),(25,33),(26,31),(26,33),(27,17),(27,18),(28,16),(28,27),(29,15),(29,27),(30,11),(30,29),(31,12),(31,28),(32,10),(32,30),(33,28),(33,29),(34,22),(34,23),(35,20),(35,36),(35,37),(36,21),(36,23),(36,39),(37,9),(37,21),(37,39),(38,19),(38,34),(38,36),(38,37),(39,7),(39,24),(39,25),(39,26)],40)
1000100101=>([(0,3),(0,4),(1,2),(1,35),(1,36),(2,6),(2,19),(3,32),(3,33),(4,1),(4,32),(4,33),(6,14),(7,12),(8,7),(9,8),(10,15),(11,16),(12,10),(13,11),(14,13),(15,17),(16,18),(17,5),(18,5),(19,14),(19,22),(20,23),(20,31),(21,24),(21,31),(22,13),(22,29),(23,12),(23,26),(24,29),(24,30),(25,17),(25,18),(26,10),(26,27),(27,15),(27,25),(28,16),(28,25),(29,11),(29,28),(30,27),(30,28),(31,26),(31,30),(32,9),(32,34),(32,36),(33,9),(33,34),(33,35),(34,8),(34,21),(34,37),(35,6),(35,20),(35,21),(36,19),(36,20),(36,37),(37,7),(37,22),(37,23),(37,24)],38)
1000011111=>([(0,8),(0,9),(1,4),(1,28),(2,20),(3,2),(3,36),(4,3),(4,35),(5,7),(5,16),(5,31),(6,21),(6,38),(7,6),(7,22),(7,37),(8,1),(8,13),(8,32),(9,5),(9,13),(9,32),(11,15),(12,17),(13,16),(14,18),(15,19),(16,22),(17,14),(18,10),(19,10),(20,11),(21,12),(22,21),(23,27),(23,29),(24,33),(24,34),(25,11),(25,34),(26,18),(26,19),(27,24),(27,25),(28,23),(28,35),(29,24),(29,30),(30,17),(30,33),(31,23),(31,37),(32,28),(32,31),(33,14),(33,26),(34,15),(34,26),(35,27),(35,36),(36,20),(36,25),(37,29),(37,38),(38,12),(38,30)],39)
1000011110=>([(0,7),(0,8),(1,6),(1,13),(1,34),(2,5),(2,12),(2,33),(3,20),(3,39),(4,21),(4,40),(5,3),(5,22),(5,37),(6,4),(6,23),(6,38),(7,2),(7,35),(7,36),(8,1),(8,35),(8,36),(10,14),(11,15),(12,22),(13,23),(14,16),(15,17),(16,18),(17,19),(18,9),(19,9),(20,10),(21,11),(22,20),(23,21),(24,16),(24,30),(25,17),(25,30),(26,24),(26,25),(27,31),(27,32),(28,14),(28,24),(29,15),(29,25),(30,18),(30,19),(31,26),(31,28),(32,26),(32,29),(33,27),(33,37),(34,27),(34,38),(35,33),(35,34),(36,12),(36,13),(37,31),(37,39),(38,32),(38,40),(39,10),(39,28),(40,11),(40,29)],41)
1000011001=>([(0,5),(0,6),(1,36),(1,37),(2,3),(2,38),(2,39),(3,4),(3,8),(3,30),(4,17),(4,34),(5,1),(5,27),(5,28),(6,2),(6,27),(6,28),(8,17),(9,13),(10,18),(11,19),(12,15),(13,14),(14,16),(15,10),(16,11),(17,12),(18,7),(19,7),(20,23),(20,24),(21,20),(21,33),(22,20),(22,31),(23,10),(23,25),(24,11),(24,25),(25,18),(25,19),(26,21),(26,32),(27,37),(27,38),(28,36),(28,39),(29,21),(29,22),(30,22),(30,34),(31,15),(31,23),(32,14),(32,33),(33,16),(33,24),(34,12),(34,31),(35,13),(35,32),(36,26),(36,35),(37,26),(37,29),(38,9),(38,29),(38,30),(39,8),(39,9),(39,35)],40)
1000010110=>([(0,5),(0,6),(1,21),(1,39),(2,3),(2,20),(2,38),(3,4),(3,9),(3,30),(4,16),(4,36),(5,1),(5,40),(5,41),(6,2),(6,40),(6,41),(8,17),(9,16),(10,18),(11,19),(12,14),(13,15),(14,10),(15,11),(16,12),(17,13),(18,7),(19,7),(20,9),(21,8),(22,26),(22,27),(23,22),(23,35),(24,22),(24,33),(25,23),(25,34),(26,10),(26,28),(27,11),(27,28),(28,18),(28,19),(29,23),(29,24),(30,24),(30,36),(31,25),(31,37),(32,25),(32,29),(33,14),(33,26),(34,13),(34,35),(35,15),(35,27),(36,12),(36,33),(37,17),(37,34),(38,29),(38,30),(39,8),(39,37),(40,31),(40,32),(40,38),(40,39),(41,20),(41,21),(41,31),(41,32)],42)
1000001110=>([(0,7),(0,8),(1,6),(1,13),(1,33),(2,4),(2,12),(2,32),(3,21),(3,38),(4,23),(4,39),(5,3),(5,20),(5,37),(6,5),(6,22),(6,36),(7,1),(7,34),(7,35),(8,2),(8,34),(8,35),(10,16),(11,14),(12,23),(13,22),(14,15),(15,17),(16,18),(17,19),(18,9),(19,9),(20,21),(21,10),(22,20),(23,11),(24,15),(24,25),(25,17),(25,29),(26,28),(26,30),(27,16),(27,29),(28,14),(28,24),(29,18),(29,19),(30,24),(30,31),(31,25),(31,27),(32,26),(32,39),(33,26),(33,36),(34,32),(34,33),(35,12),(35,13),(36,30),(36,37),(37,31),(37,38),(38,10),(38,27),(39,11),(39,28)],40)
1000001101=>([(0,6),(0,7),(1,30),(1,34),(2,4),(2,9),(2,29),(3,21),(3,36),(4,5),(4,20),(4,35),(5,3),(5,22),(5,37),(6,2),(6,38),(6,39),(7,1),(7,38),(7,39),(9,20),(10,13),(11,14),(12,19),(13,18),(14,15),(15,16),(16,17),(17,12),(18,8),(19,8),(20,22),(21,10),(22,21),(23,28),(23,33),(24,12),(24,25),(25,18),(25,19),(26,24),(26,27),(27,13),(27,25),(28,26),(28,32),(29,23),(29,35),(30,23),(30,31),(31,15),(31,33),(32,17),(32,24),(33,16),(33,32),(34,14),(34,31),(35,28),(35,37),(36,10),(36,27),(37,26),(37,36),(38,11),(38,29),(38,30),(39,9),(39,11),(39,34)],40)
1000001010=>([(0,5),(0,6),(1,4),(1,8),(1,27),(2,19),(2,33),(3,2),(3,20),(3,34),(4,3),(4,18),(4,32),(5,35),(5,36),(6,1),(6,35),(6,36),(8,18),(9,12),(10,13),(11,17),(12,16),(13,14),(14,15),(15,11),(16,7),(17,7),(18,20),(19,9),(20,19),(21,11),(21,22),(22,16),(22,17),(23,12),(23,22),(24,21),(24,23),(25,24),(25,30),(26,25),(26,29),(27,26),(27,32),(28,10),(28,31),(29,14),(29,30),(30,15),(30,21),(31,13),(31,29),(32,25),(32,34),(33,9),(33,23),(34,24),(34,33),(35,27),(35,28),(35,37),(36,8),(36,28),(36,37),(37,10),(37,26),(37,31)],38)
1000000111=>([(0,8),(0,9),(1,2),(1,32),(2,11),(3,7),(3,13),(3,31),(4,22),(4,33),(5,4),(5,23),(5,35),(6,5),(6,24),(6,34),(7,6),(7,21),(7,36),(8,3),(8,14),(8,25),(9,1),(9,14),(9,25),(11,15),(12,20),(13,21),(14,13),(15,17),(16,18),(17,16),(18,19),(19,10),(20,10),(21,24),(22,12),(23,22),(24,23),(25,31),(25,32),(26,19),(26,20),(27,17),(27,30),(28,15),(28,27),(29,18),(29,26),(30,16),(30,29),(31,28),(31,36),(32,11),(32,28),(33,12),(33,26),(34,30),(34,35),(35,29),(35,33),(36,27),(36,34)],37)
1000000110=>([(0,7),(0,8),(1,17),(1,28),(2,4),(2,16),(2,27),(3,21),(3,35),(4,6),(4,20),(4,36),(5,3),(5,22),(5,34),(6,5),(6,23),(6,33),(7,2),(7,24),(7,25),(8,1),(8,24),(8,25),(10,19),(11,13),(12,14),(13,15),(14,11),(15,18),(16,20),(17,12),(18,9),(19,9),(20,23),(21,10),(22,21),(23,22),(24,16),(24,17),(25,27),(25,28),(26,18),(26,19),(27,32),(27,36),(28,12),(28,32),(29,11),(29,30),(30,13),(30,31),(31,15),(31,26),(32,14),(32,29),(33,30),(33,34),(34,31),(34,35),(35,10),(35,26),(36,29),(36,33)],37)
1000000100=>([(0,6),(0,7),(1,5),(1,24),(1,25),(2,18),(2,32),(3,4),(3,20),(3,34),(4,2),(4,19),(4,33),(5,3),(5,17),(5,31),(6,26),(6,27),(7,1),(7,26),(7,27),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,20),(18,9),(19,18),(20,19),(21,10),(21,28),(22,11),(22,23),(23,15),(23,16),(24,28),(24,31),(25,10),(25,17),(26,21),(26,25),(27,21),(27,24),(28,14),(28,29),(29,12),(29,30),(30,13),(30,22),(31,29),(31,34),(32,9),(32,23),(33,22),(33,32),(34,30),(34,33)],35)
1000000010=>([(0,7),(0,8),(1,3),(1,12),(1,24),(2,20),(2,28),(3,5),(3,19),(3,27),(4,6),(4,21),(4,29),(5,4),(5,23),(5,31),(6,2),(6,22),(6,30),(7,25),(7,26),(8,1),(8,25),(8,26),(10,15),(11,10),(12,19),(13,14),(14,16),(15,13),(16,17),(17,9),(18,9),(19,23),(20,18),(21,22),(22,20),(23,21),(24,10),(24,27),(25,11),(25,12),(26,11),(26,24),(27,15),(27,31),(28,17),(28,18),(29,14),(29,30),(30,16),(30,28),(31,13),(31,29)],32)
1000000001=>([(0,8),(0,9),(1,7),(1,11),(1,12),(2,25),(2,26),(3,4),(3,15),(3,16),(4,6),(4,17),(4,18),(5,3),(5,19),(5,20),(6,2),(6,21),(6,22),(7,5),(7,23),(7,24),(8,13),(8,14),(9,1),(9,13),(9,14),(11,24),(12,23),(13,12),(14,11),(15,17),(16,18),(17,21),(18,22),(19,15),(20,16),(21,25),(22,26),(23,19),(24,20),(25,10),(26,10)],27)
1000000000=>([(0,2),(0,10),(1,12),(2,11),(3,5),(3,13),(4,3),(4,15),(5,7),(5,14),(6,4),(6,17),(7,9),(7,16),(8,6),(8,19),(9,1),(9,18),(10,8),(10,11),(11,19),(13,14),(14,16),(15,13),(16,18),(17,15),(18,12),(19,17)],20)
10000000000=>([(0,2),(0,11),(1,13),(2,12),(3,4),(3,15),(4,6),(4,14),(5,3),(5,17),(6,8),(6,16),(7,5),(7,19),(8,10),(8,18),(9,7),(9,21),(10,1),(10,20),(11,9),(11,12),(12,21),(14,16),(15,14),(16,18),(17,15),(18,20),(19,17),(20,13),(21,19)],22)
10000000010=>([(0,8),(0,9),(1,3),(1,13),(1,27),(2,22),(2,31),(3,6),(3,21),(3,30),(4,5),(4,24),(4,33),(5,7),(5,23),(5,32),(6,4),(6,26),(6,35),(7,2),(7,25),(7,34),(8,28),(8,29),(9,1),(9,28),(9,29),(11,17),(12,11),(13,21),(14,16),(15,14),(16,18),(17,15),(18,19),(19,10),(20,10),(21,26),(22,20),(23,25),(24,23),(25,22),(26,24),(27,11),(27,30),(28,12),(28,13),(29,12),(29,27),(30,17),(30,35),(31,19),(31,20),(32,16),(32,34),(33,14),(33,32),(34,18),(34,31),(35,15),(35,33)],36)
10000000110=>([(0,8),(0,9),(1,19),(1,31),(2,4),(2,18),(2,30),(3,23),(3,37),(4,5),(4,22),(4,41),(5,6),(5,26),(5,38),(6,7),(6,24),(6,40),(7,3),(7,25),(7,39),(8,2),(8,27),(8,28),(9,1),(9,27),(9,28),(11,21),(12,13),(13,17),(14,12),(15,16),(16,14),(17,20),(18,22),(19,15),(20,10),(21,10),(22,26),(23,11),(24,25),(25,23),(26,24),(27,18),(27,19),(28,30),(28,31),(29,20),(29,21),(30,36),(30,41),(31,15),(31,36),(32,14),(32,34),(33,13),(33,35),(34,12),(34,33),(35,17),(35,29),(36,16),(36,32),(37,11),(37,29),(38,34),(38,40),(39,35),(39,37),(40,33),(40,39),(41,32),(41,38)],42)
10000001110=>([(0,8),(0,9),(1,7),(1,11),(1,34),(2,4),(2,12),(2,35),(3,24),(3,43),(4,22),(4,41),(5,6),(5,26),(5,45),(6,3),(6,25),(6,44),(7,5),(7,23),(7,42),(8,1),(8,36),(8,37),(9,2),(9,36),(9,37),(11,23),(12,22),(13,16),(14,19),(15,21),(16,20),(17,18),(18,15),(19,17),(20,10),(21,10),(22,14),(23,26),(24,13),(25,24),(26,25),(27,33),(27,40),(28,15),(28,29),(29,20),(29,21),(30,31),(30,39),(31,28),(31,32),(32,16),(32,29),(33,30),(33,38),(34,27),(34,42),(35,27),(35,41),(36,34),(36,35),(37,11),(37,12),(38,17),(38,39),(39,18),(39,28),(40,19),(40,38),(41,14),(41,40),(42,33),(42,45),(43,13),(43,32),(44,31),(44,43),(45,30),(45,44)],46)
10000011110=>([(0,8),(0,9),(1,6),(1,12),(1,37),(2,7),(2,11),(2,36),(3,25),(3,45),(4,24),(4,46),(5,4),(5,26),(5,47),(6,5),(6,23),(6,43),(7,3),(7,22),(7,44),(8,1),(8,38),(8,39),(9,2),(9,38),(9,39),(11,22),(12,23),(13,18),(14,19),(15,20),(16,21),(17,16),(18,17),(19,15),(20,10),(21,10),(22,25),(23,26),(24,14),(25,13),(26,24),(27,30),(27,31),(28,27),(28,40),(29,33),(29,34),(30,16),(30,32),(31,15),(31,32),(32,20),(32,21),(33,28),(33,35),(34,28),(34,42),(35,27),(35,41),(36,29),(36,44),(37,29),(37,43),(38,36),(38,37),(39,11),(39,12),(40,17),(40,30),(41,19),(41,31),(42,18),(42,40),(43,33),(43,47),(44,34),(44,45),(45,13),(45,42),(46,14),(46,41),(47,35),(47,46)],48)
10000111110=>([(0,8),(0,9),(1,6),(1,12),(1,37),(2,7),(2,11),(2,36),(3,25),(3,45),(4,24),(4,46),(5,4),(5,26),(5,47),(6,5),(6,23),(6,43),(7,3),(7,22),(7,44),(8,1),(8,38),(8,39),(9,2),(9,38),(9,39),(11,22),(12,23),(13,18),(14,19),(15,20),(16,21),(17,16),(18,17),(19,15),(20,10),(21,10),(22,25),(23,26),(24,14),(25,13),(26,24),(27,30),(27,31),(28,27),(28,40),(29,33),(29,34),(30,16),(30,32),(31,15),(31,32),(32,20),(32,21),(33,28),(33,35),(34,28),(34,42),(35,27),(35,41),(36,29),(36,44),(37,29),(37,43),(38,36),(38,37),(39,11),(39,12),(40,17),(40,30),(41,19),(41,31),(42,18),(42,40),(43,33),(43,47),(44,34),(44,45),(45,13),(45,42),(46,14),(46,41),(47,35),(47,46)],48)
10001111110=>([(0,8),(0,9),(1,7),(1,11),(1,34),(2,4),(2,12),(2,35),(3,24),(3,43),(4,22),(4,41),(5,6),(5,26),(5,45),(6,3),(6,25),(6,44),(7,5),(7,23),(7,42),(8,1),(8,36),(8,37),(9,2),(9,36),(9,37),(11,23),(12,22),(13,16),(14,19),(15,21),(16,20),(17,18),(18,15),(19,17),(20,10),(21,10),(22,14),(23,26),(24,13),(25,24),(26,25),(27,33),(27,40),(28,15),(28,29),(29,20),(29,21),(30,31),(30,39),(31,28),(31,32),(32,16),(32,29),(33,30),(33,38),(34,27),(34,42),(35,27),(35,41),(36,34),(36,35),(37,11),(37,12),(38,17),(38,39),(39,18),(39,28),(40,19),(40,38),(41,14),(41,40),(42,33),(42,45),(43,13),(43,32),(44,31),(44,43),(45,30),(45,44)],46)
10011111110=>([(0,8),(0,9),(1,19),(1,31),(2,4),(2,18),(2,30),(3,23),(3,37),(4,5),(4,22),(4,41),(5,6),(5,26),(5,38),(6,7),(6,24),(6,40),(7,3),(7,25),(7,39),(8,2),(8,27),(8,28),(9,1),(9,27),(9,28),(11,21),(12,13),(13,17),(14,12),(15,16),(16,14),(17,20),(18,22),(19,15),(20,10),(21,10),(22,26),(23,11),(24,25),(25,23),(26,24),(27,18),(27,19),(28,30),(28,31),(29,20),(29,21),(30,36),(30,41),(31,15),(31,36),(32,14),(32,34),(33,13),(33,35),(34,12),(34,33),(35,17),(35,29),(36,16),(36,32),(37,11),(37,29),(38,34),(38,40),(39,35),(39,37),(40,33),(40,39),(41,32),(41,38)],42)
10111111110=>([(0,8),(0,9),(1,3),(1,13),(1,27),(2,22),(2,31),(3,6),(3,21),(3,30),(4,5),(4,24),(4,33),(5,7),(5,23),(5,32),(6,4),(6,26),(6,35),(7,2),(7,25),(7,34),(8,28),(8,29),(9,1),(9,28),(9,29),(11,17),(12,11),(13,21),(14,16),(15,14),(16,18),(17,15),(18,19),(19,10),(20,10),(21,26),(22,20),(23,25),(24,23),(25,22),(26,24),(27,11),(27,30),(28,12),(28,13),(29,12),(29,27),(30,17),(30,35),(31,19),(31,20),(32,16),(32,34),(33,14),(33,32),(34,18),(34,31),(35,15),(35,33)],36)
11111111110=>([(0,2),(0,11),(1,13),(2,12),(3,4),(3,15),(4,6),(4,14),(5,3),(5,17),(6,8),(6,16),(7,5),(7,19),(8,10),(8,18),(9,7),(9,21),(10,1),(10,20),(11,9),(11,12),(12,21),(14,16),(15,14),(16,18),(17,15),(18,20),(19,17),(20,13),(21,19)],22)
11010101010=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30)
11010101000=>([(0,4),(0,5),(1,21),(2,3),(2,34),(3,8),(4,1),(4,33),(4,41),(5,2),(5,33),(5,41),(7,16),(8,15),(9,10),(10,7),(11,9),(12,17),(13,12),(14,13),(15,14),(16,18),(17,19),(18,20),(19,6),(20,6),(21,11),(22,37),(22,38),(23,15),(23,28),(24,26),(24,27),(25,12),(25,30),(26,16),(26,31),(27,30),(27,31),(28,14),(28,29),(29,13),(29,25),(30,17),(30,32),(31,18),(31,32),(32,19),(32,20),(33,35),(33,36),(34,8),(34,23),(35,11),(35,22),(35,39),(36,22),(36,23),(36,39),(37,24),(37,29),(37,40),(38,10),(38,24),(38,40),(39,9),(39,28),(39,37),(39,38),(40,7),(40,25),(40,26),(40,27),(41,21),(41,34),(41,35),(41,36)],42)
11010101100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45)
11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46)
11010110100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45)
11010010100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45)
11011010100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46)
11001010100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45)
11101010100=>([(0,4),(0,5),(1,21),(2,3),(2,34),(3,8),(4,1),(4,33),(4,41),(5,2),(5,33),(5,41),(7,16),(8,15),(9,10),(10,7),(11,9),(12,17),(13,12),(14,13),(15,14),(16,18),(17,19),(18,20),(19,6),(20,6),(21,11),(22,37),(22,38),(23,15),(23,28),(24,26),(24,27),(25,12),(25,30),(26,16),(26,31),(27,30),(27,31),(28,14),(28,29),(29,13),(29,25),(30,17),(30,32),(31,18),(31,32),(32,19),(32,20),(33,35),(33,36),(34,8),(34,23),(35,11),(35,22),(35,39),(36,22),(36,23),(36,39),(37,24),(37,29),(37,40),(38,10),(38,24),(38,40),(39,9),(39,28),(39,37),(39,38),(40,7),(40,25),(40,26),(40,27),(41,21),(41,34),(41,35),(41,36)],42)
10101010100=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30)
101010101010=>([(0,1),(0,2),(1,22),(1,23),(2,22),(2,23),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,16),(12,17),(13,16),(13,17),(14,10),(14,11),(15,10),(15,11),(16,20),(16,21),(17,20),(17,21),(18,14),(18,15),(19,14),(19,15),(20,4),(20,5),(21,4),(21,5),(22,18),(22,19),(23,18),(23,19)],24)
101010101100=>([(0,3),(0,4),(1,18),(2,22),(2,23),(3,2),(3,45),(3,46),(4,1),(4,45),(4,46),(6,15),(7,13),(8,16),(9,17),(10,11),(11,14),(12,10),(13,9),(14,8),(15,12),(16,5),(17,5),(18,6),(19,9),(19,21),(20,8),(20,21),(21,16),(21,17),(22,30),(22,34),(23,6),(23,34),(24,33),(24,44),(25,19),(25,20),(26,7),(26,39),(27,29),(27,37),(28,27),(28,36),(29,25),(29,35),(30,28),(30,38),(31,32),(31,43),(32,26),(32,41),(33,31),(33,42),(34,15),(34,38),(35,14),(35,20),(36,10),(36,37),(37,11),(37,35),(38,12),(38,36),(39,13),(39,19),(40,30),(40,33),(40,44),(41,7),(41,25),(41,39),(42,27),(42,32),(42,43),(43,26),(43,29),(43,41),(44,28),(44,31),(44,42),(45,22),(45,24),(45,40),(46,18),(46,23),(46,24),(46,40)],47)
101010110010=>([(0,3),(0,4),(1,46),(1,47),(2,45),(2,48),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,17),(7,10),(8,18),(9,19),(10,12),(11,13),(12,11),(13,15),(14,16),(15,8),(16,9),(17,14),(18,5),(19,5),(20,27),(20,28),(21,22),(21,23),(22,24),(22,26),(23,24),(23,41),(24,20),(24,40),(25,23),(25,42),(26,20),(26,39),(27,9),(27,29),(28,8),(28,29),(29,18),(29,19),(30,21),(30,25),(31,25),(31,37),(32,22),(32,33),(33,26),(33,38),(34,6),(34,44),(35,21),(35,32),(36,34),(36,51),(37,12),(37,42),(38,14),(38,39),(39,16),(39,27),(40,15),(40,28),(41,13),(41,40),(42,11),(42,41),(43,10),(43,37),(44,17),(44,38),(45,31),(45,43),(46,30),(46,35),(47,30),(47,31),(48,7),(48,43),(49,35),(49,36),(49,52),(50,7),(50,36),(50,52),(51,6),(51,33),(51,44),(52,32),(52,34),(52,51),(53,45),(53,47),(53,49),(53,50),(54,46),(54,48),(54,49),(54,50)],55)
101010110100=>([(0,3),(0,4),(1,20),(2,32),(2,33),(3,2),(3,49),(3,52),(4,1),(4,49),(4,52),(6,17),(7,10),(8,18),(9,19),(10,12),(11,13),(12,11),(13,15),(14,16),(15,8),(16,9),(17,14),(18,5),(19,5),(20,7),(21,24),(21,25),(22,29),(22,30),(23,21),(23,27),(24,26),(24,28),(25,26),(25,44),(26,22),(26,41),(27,25),(27,43),(28,22),(28,42),(29,8),(29,31),(30,9),(30,31),(31,18),(31,19),(32,23),(32,34),(33,23),(33,35),(34,27),(34,40),(35,21),(35,36),(36,24),(36,37),(37,28),(37,39),(38,6),(38,45),(39,14),(39,42),(40,12),(40,43),(41,15),(41,29),(42,16),(42,30),(43,11),(43,44),(44,13),(44,41),(45,17),(45,39),(46,7),(46,48),(46,51),(47,6),(47,37),(47,45),(48,36),(48,38),(48,47),(49,33),(49,46),(49,50),(50,34),(50,35),(50,48),(50,51),(51,10),(51,38),(51,40),(51,47),(52,20),(52,32),(52,46),(52,50)],53)
101010111000=>([(0,5),(0,6),(1,2),(1,48),(2,8),(3,4),(3,49),(3,50),(4,32),(4,33),(5,1),(5,51),(5,55),(6,3),(6,51),(6,55),(8,19),(9,12),(10,20),(11,21),(12,15),(13,14),(14,17),(15,18),(16,13),(17,10),(18,11),(19,16),(20,7),(21,7),(22,29),(22,30),(23,26),(23,28),(24,23),(24,25),(25,26),(25,44),(26,22),(26,43),(27,25),(27,45),(28,22),(28,42),(29,11),(29,31),(30,10),(30,31),(31,20),(31,21),(32,24),(32,27),(33,27),(33,40),(34,24),(34,36),(35,28),(35,41),(36,23),(36,35),(37,9),(37,47),(38,37),(38,52),(39,38),(39,53),(40,16),(40,45),(41,15),(41,42),(42,18),(42,29),(43,17),(43,30),(44,14),(44,43),(45,13),(45,44),(46,19),(46,40),(47,12),(47,41),(48,8),(48,46),(49,33),(49,46),(50,32),(50,34),(51,39),(51,50),(51,54),(52,9),(52,35),(52,47),(53,36),(53,37),(53,52),(54,34),(54,38),(54,53),(55,39),(55,48),(55,49),(55,54)],56)
101011001010=>([(0,3),(0,4),(1,48),(1,50),(2,47),(2,49),(3,2),(3,53),(3,54),(4,1),(4,53),(4,54),(6,16),(7,17),(8,18),(9,19),(10,14),(11,15),(12,10),(13,11),(14,8),(15,9),(16,12),(17,13),(18,5),(19,5),(20,26),(20,27),(21,30),(21,31),(22,20),(22,24),(23,20),(23,25),(24,26),(24,43),(25,27),(25,44),(26,21),(26,41),(27,21),(27,42),(28,24),(28,45),(29,25),(29,46),(30,8),(30,32),(31,9),(31,32),(32,18),(32,19),(33,22),(33,23),(34,22),(34,28),(35,23),(35,29),(36,28),(36,39),(37,29),(37,40),(38,6),(38,7),(39,16),(39,45),(40,17),(40,46),(41,14),(41,30),(42,15),(42,31),(43,10),(43,41),(44,11),(44,42),(45,12),(45,43),(46,13),(46,44),(47,33),(47,34),(48,33),(48,35),(49,34),(49,36),(50,35),(50,37),(51,36),(51,38),(51,55),(52,37),(52,38),(52,55),(53,47),(53,48),(53,51),(53,52),(54,49),(54,50),(54,51),(54,52),(55,6),(55,7),(55,39),(55,40)],56)
101011001100=>([(0,3),(0,4),(1,48),(1,52),(2,46),(2,47),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,16),(7,17),(8,18),(9,19),(10,11),(11,14),(12,15),(13,10),(14,8),(15,9),(16,13),(17,12),(18,5),(19,5),(20,26),(20,27),(21,23),(21,38),(22,23),(22,33),(23,24),(23,43),(24,20),(24,40),(25,20),(25,41),(26,9),(26,28),(27,8),(27,28),(28,18),(28,19),(29,22),(29,51),(30,21),(30,36),(31,21),(31,22),(32,6),(32,45),(33,24),(33,25),(34,35),(34,44),(35,25),(35,42),(36,7),(36,38),(37,34),(37,39),(38,17),(38,43),(39,13),(39,44),(40,15),(40,26),(41,14),(41,27),(42,11),(42,41),(43,12),(43,40),(44,10),(44,42),(45,16),(45,39),(46,30),(46,31),(47,29),(47,31),(48,29),(48,49),(49,34),(49,36),(49,51),(50,6),(50,37),(50,45),(51,7),(51,33),(51,35),(52,30),(52,37),(52,49),(53,32),(53,47),(53,48),(53,50),(54,32),(54,46),(54,50),(54,52)],55)
101011010010=>([(0,3),(0,4),(1,48),(1,49),(2,50),(2,51),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,18),(7,15),(8,19),(9,20),(10,12),(11,13),(12,16),(13,17),(14,10),(15,11),(16,8),(17,9),(18,14),(19,5),(20,5),(21,30),(21,31),(22,23),(22,25),(23,26),(23,27),(24,7),(24,39),(25,26),(25,43),(26,21),(26,41),(27,21),(27,42),(28,25),(28,46),(29,27),(29,44),(30,9),(30,32),(31,8),(31,32),(32,19),(32,20),(33,38),(33,40),(34,28),(34,39),(35,22),(35,37),(36,22),(36,28),(37,23),(37,29),(38,29),(38,45),(39,15),(39,46),(40,14),(40,45),(41,17),(41,30),(42,16),(42,31),(43,13),(43,41),(44,12),(44,42),(45,10),(45,44),(46,11),(46,43),(47,18),(47,40),(48,34),(48,36),(49,35),(49,36),(50,33),(50,47),(51,6),(51,47),(52,7),(52,37),(52,38),(53,49),(53,50),(53,55),(53,56),(54,48),(54,51),(54,55),(54,56),(55,24),(55,34),(55,35),(55,52),(56,6),(56,24),(56,33),(56,52)],57)
101011010100=>([(0,3),(0,4),(1,20),(2,33),(2,34),(3,2),(3,49),(3,52),(4,1),(4,49),(4,52),(6,17),(7,12),(8,18),(9,19),(10,11),(11,13),(12,10),(13,16),(14,15),(15,8),(16,9),(17,14),(18,5),(19,5),(20,7),(21,28),(21,29),(22,30),(22,31),(23,24),(23,25),(24,21),(24,27),(25,27),(25,39),(26,21),(26,37),(27,28),(27,43),(28,22),(28,42),(29,22),(29,41),(30,9),(30,32),(31,8),(31,32),(32,18),(32,19),(33,23),(33,36),(34,23),(34,35),(35,25),(35,38),(36,24),(36,26),(37,29),(37,40),(38,6),(38,39),(39,17),(39,43),(40,13),(40,41),(41,16),(41,30),(42,15),(42,31),(43,14),(43,42),(44,11),(44,40),(45,10),(45,44),(46,7),(46,48),(46,51),(47,6),(47,37),(47,44),(48,38),(48,45),(48,47),(49,34),(49,46),(49,50),(50,35),(50,36),(50,48),(50,51),(51,12),(51,26),(51,45),(51,47),(52,20),(52,33),(52,46),(52,50)],53)
101011011000=>([(0,4),(0,5),(1,22),(2,1),(2,33),(3,34),(3,48),(4,2),(4,51),(4,54),(5,3),(5,51),(5,54),(7,19),(8,11),(9,20),(10,21),(11,12),(12,13),(13,14),(14,17),(15,18),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,7),(23,29),(23,30),(24,25),(24,26),(25,23),(25,41),(26,23),(26,42),(27,25),(27,43),(28,26),(28,44),(29,10),(29,31),(30,9),(30,31),(31,20),(31,21),(32,8),(32,45),(33,22),(33,37),(34,49),(34,50),(35,24),(35,27),(36,24),(36,28),(37,7),(37,47),(38,35),(38,36),(39,13),(39,44),(40,16),(40,43),(41,18),(41,29),(42,17),(42,30),(43,15),(43,41),(44,14),(44,42),(45,11),(45,46),(46,12),(46,39),(47,19),(47,40),(48,37),(48,38),(48,50),(49,35),(49,46),(49,53),(50,36),(50,47),(50,53),(51,32),(51,34),(51,52),(52,8),(52,38),(52,45),(52,49),(53,27),(53,28),(53,39),(53,40),(54,32),(54,33),(54,48),(54,52)],55)
101011100010=>([(0,5),(0,6),(1,4),(1,52),(1,54),(2,3),(2,53),(2,55),(3,40),(3,50),(4,38),(4,39),(5,1),(5,58),(5,59),(6,2),(6,58),(6,59),(8,21),(9,12),(10,22),(11,23),(12,15),(13,16),(14,17),(15,13),(16,19),(17,20),(18,14),(19,10),(20,11),(21,18),(22,7),(23,7),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,48),(29,31),(29,47),(30,25),(30,45),(31,25),(31,44),(32,28),(32,49),(33,29),(33,46),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,26),(37,32),(38,26),(38,27),(39,27),(39,33),(40,32),(40,42),(41,33),(41,43),(42,18),(42,49),(43,15),(43,46),(44,19),(44,34),(45,20),(45,35),(46,13),(46,47),(47,16),(47,44),(48,17),(48,45),(49,14),(49,48),(50,21),(50,42),(51,12),(51,43),(52,37),(52,38),(53,37),(53,40),(54,39),(54,41),(55,8),(55,50),(56,9),(56,41),(56,51),(57,8),(57,9),(57,51),(58,52),(58,53),(58,56),(58,57),(59,54),(59,55),(59,56),(59,57)],60)
101011100100=>([(0,4),(0,5),(1,51),(1,55),(2,3),(2,52),(2,53),(3,38),(3,39),(4,1),(4,57),(4,58),(5,2),(5,57),(5,58),(7,20),(8,11),(9,21),(10,22),(11,14),(12,15),(13,16),(14,12),(15,18),(16,19),(17,13),(18,9),(19,10),(20,17),(21,6),(22,6),(23,29),(23,30),(24,33),(24,34),(25,23),(25,27),(26,23),(26,28),(27,29),(27,47),(28,30),(28,46),(29,24),(29,44),(30,24),(30,43),(31,27),(31,48),(32,28),(32,45),(33,9),(33,35),(34,10),(34,35),(35,21),(35,22),(36,25),(36,31),(37,31),(37,41),(38,25),(38,26),(39,26),(39,32),(40,32),(40,42),(41,17),(41,48),(42,14),(42,45),(43,18),(43,33),(44,19),(44,34),(45,12),(45,46),(46,15),(46,43),(47,16),(47,44),(48,13),(48,47),(49,20),(49,41),(50,11),(50,42),(51,37),(51,49),(52,36),(52,38),(53,39),(53,40),(54,8),(54,40),(54,50),(55,7),(55,36),(55,37),(56,7),(56,8),(56,49),(56,50),(57,52),(57,54),(57,55),(57,56),(58,51),(58,53),(58,54),(58,56)],59)
101011101000=>([(0,5),(0,6),(1,2),(1,50),(2,8),(3,4),(3,51),(3,52),(4,37),(4,38),(5,1),(5,53),(5,56),(6,3),(6,53),(6,56),(8,20),(9,17),(10,21),(11,22),(12,14),(13,15),(14,16),(15,19),(16,18),(17,13),(18,10),(19,11),(20,12),(21,7),(22,7),(23,29),(23,30),(24,33),(24,34),(25,23),(25,32),(26,23),(26,28),(27,31),(27,41),(28,30),(28,46),(29,24),(29,44),(30,24),(30,43),(31,28),(31,47),(32,29),(32,45),(33,10),(33,35),(34,11),(34,35),(35,21),(35,22),(36,25),(36,39),(37,26),(37,31),(38,25),(38,26),(39,32),(39,42),(40,9),(40,41),(41,17),(41,47),(42,14),(42,45),(43,19),(43,34),(44,18),(44,33),(45,16),(45,44),(46,15),(46,43),(47,13),(47,46),(48,12),(48,42),(49,20),(49,48),(50,8),(50,49),(51,36),(51,38),(52,27),(52,37),(53,52),(53,55),(53,57),(54,9),(54,39),(54,48),(55,40),(55,49),(55,54),(56,50),(56,51),(56,55),(56,57),(57,27),(57,36),(57,40),(57,54)],58)
101011110000=>([(0,7),(0,8),(1,3),(1,38),(2,24),(3,2),(3,51),(4,6),(4,39),(4,41),(5,54),(5,55),(6,5),(6,52),(6,53),(7,1),(7,56),(7,58),(8,4),(8,56),(8,58),(10,21),(11,14),(12,22),(13,23),(14,16),(15,17),(16,15),(17,19),(18,20),(19,12),(20,13),(21,18),(22,9),(23,9),(24,10),(25,29),(25,30),(26,32),(26,33),(27,25),(27,45),(28,25),(28,46),(29,12),(29,31),(30,13),(30,31),(31,22),(31,23),(32,10),(32,43),(33,35),(33,43),(34,27),(34,48),(35,28),(35,49),(36,34),(36,47),(37,27),(37,28),(38,26),(38,51),(39,26),(39,53),(40,36),(40,44),(41,40),(41,52),(42,11),(42,50),(43,21),(43,49),(44,16),(44,47),(45,19),(45,29),(46,20),(46,30),(47,15),(47,48),(48,17),(48,45),(49,18),(49,46),(50,14),(50,44),(51,24),(51,32),(52,36),(52,54),(53,33),(53,55),(54,34),(54,37),(55,35),(55,37),(56,41),(56,42),(56,57),(57,11),(57,40),(57,50),(58,38),(58,39),(58,42),(58,57)],59)
101100101010=>([(0,3),(0,4),(1,46),(1,47),(2,45),(2,48),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,17),(7,10),(8,18),(9,19),(10,12),(11,13),(12,11),(13,15),(14,16),(15,8),(16,9),(17,14),(18,5),(19,5),(20,27),(20,28),(21,22),(21,23),(22,24),(22,26),(23,24),(23,41),(24,20),(24,40),(25,23),(25,42),(26,20),(26,39),(27,9),(27,29),(28,8),(28,29),(29,18),(29,19),(30,21),(30,25),(31,25),(31,37),(32,22),(32,33),(33,26),(33,38),(34,6),(34,44),(35,21),(35,32),(36,34),(36,51),(37,12),(37,42),(38,14),(38,39),(39,16),(39,27),(40,15),(40,28),(41,13),(41,40),(42,11),(42,41),(43,10),(43,37),(44,17),(44,38),(45,31),(45,43),(46,30),(46,35),(47,30),(47,31),(48,7),(48,43),(49,35),(49,36),(49,52),(50,7),(50,36),(50,52),(51,6),(51,33),(51,44),(52,32),(52,34),(52,51),(53,45),(53,47),(53,49),(53,50),(54,46),(54,48),(54,49),(54,50)],55)
101100101100=>([(0,3),(0,4),(1,46),(1,48),(2,47),(2,49),(3,1),(3,50),(3,51),(4,2),(4,50),(4,51),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,19),(17,44),(18,19),(18,45),(19,29),(19,30),(20,27),(20,32),(21,32),(21,33),(22,16),(22,28),(23,28),(23,31),(24,16),(24,27),(25,31),(25,33),(26,22),(26,23),(27,17),(27,42),(28,18),(28,43),(29,8),(29,34),(30,9),(30,34),(31,6),(31,43),(32,7),(32,42),(33,6),(33,7),(34,14),(34,15),(35,23),(35,25),(36,22),(36,24),(37,20),(37,21),(38,21),(38,25),(39,20),(39,24),(40,26),(40,35),(41,26),(41,36),(42,12),(42,44),(43,13),(43,45),(44,10),(44,29),(45,11),(45,30),(46,37),(46,38),(47,37),(47,39),(48,35),(48,38),(49,36),(49,39),(50,40),(50,41),(50,46),(50,47),(51,40),(51,41),(51,48),(51,49)],52)
101100110010=>([(0,3),(0,4),(1,42),(1,48),(2,41),(2,47),(3,2),(3,49),(3,50),(4,1),(4,49),(4,50),(6,16),(7,17),(8,22),(9,23),(10,12),(11,13),(12,14),(13,15),(14,8),(15,9),(16,18),(17,19),(18,20),(19,21),(20,10),(21,11),(22,5),(23,5),(24,26),(24,39),(25,26),(25,40),(26,28),(26,29),(27,24),(27,25),(28,9),(28,30),(29,8),(29,30),(30,22),(30,23),(31,33),(31,34),(32,45),(32,46),(33,27),(33,35),(34,27),(34,36),(35,24),(35,37),(36,25),(36,38),(37,13),(37,39),(38,12),(38,40),(39,15),(39,28),(40,14),(40,29),(41,32),(41,43),(42,32),(42,44),(43,18),(43,33),(43,45),(44,19),(44,34),(44,46),(45,20),(45,35),(45,51),(46,21),(46,36),(46,51),(47,16),(47,31),(47,43),(48,17),(48,31),(48,44),(49,6),(49,7),(49,47),(49,48),(50,6),(50,7),(50,41),(50,42),(51,10),(51,11),(51,37),(51,38)],52)
101100110100=>([(0,3),(0,4),(1,49),(1,52),(2,51),(2,53),(3,1),(3,54),(3,55),(4,2),(4,54),(4,55),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,26),(25,22),(25,27),(26,28),(26,45),(27,29),(27,46),(28,23),(28,42),(29,23),(29,43),(30,26),(30,44),(31,27),(31,47),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,6),(35,48),(36,31),(36,40),(37,24),(37,30),(38,24),(38,25),(39,30),(39,41),(40,16),(40,47),(41,13),(41,44),(42,17),(42,32),(43,18),(43,33),(44,11),(44,45),(45,14),(45,42),(46,15),(46,43),(47,12),(47,46),(48,19),(48,40),(49,37),(49,38),(50,7),(50,36),(50,48),(51,36),(51,39),(51,56),(52,6),(52,37),(52,39),(53,7),(53,38),(53,56),(54,35),(54,49),(54,50),(54,53),(55,35),(55,50),(55,51),(55,52),(56,10),(56,25),(56,31),(56,41)],57)
101100111000=>([(0,5),(0,6),(1,24),(2,4),(2,54),(2,57),(3,1),(3,51),(3,55),(4,39),(4,40),(5,2),(5,52),(5,53),(6,3),(6,52),(6,53),(8,20),(9,21),(10,22),(11,23),(12,13),(13,14),(14,16),(15,18),(16,19),(17,15),(18,10),(19,11),(20,17),(21,12),(22,7),(23,7),(24,8),(25,31),(25,32),(26,34),(26,35),(27,25),(27,33),(28,30),(28,42),(29,25),(29,30),(30,32),(30,47),(31,26),(31,45),(32,26),(32,44),(33,31),(33,46),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,27),(37,29),(38,27),(38,41),(39,28),(39,29),(40,28),(40,50),(41,33),(41,43),(42,17),(42,47),(43,14),(43,46),(44,18),(44,34),(45,19),(45,35),(46,16),(46,45),(47,15),(47,44),(48,12),(48,49),(49,13),(49,43),(50,20),(50,42),(51,37),(51,38),(52,9),(52,54),(52,55),(53,9),(53,51),(53,57),(54,40),(54,48),(54,56),(55,24),(55,38),(55,56),(56,8),(56,41),(56,49),(56,50),(57,21),(57,37),(57,39),(57,48)],58)
101101001010=>([(0,3),(0,4),(1,48),(1,49),(2,50),(2,51),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,18),(7,15),(8,19),(9,20),(10,12),(11,13),(12,16),(13,17),(14,10),(15,11),(16,8),(17,9),(18,14),(19,5),(20,5),(21,30),(21,31),(22,23),(22,25),(23,26),(23,27),(24,7),(24,39),(25,26),(25,43),(26,21),(26,41),(27,21),(27,42),(28,25),(28,46),(29,27),(29,44),(30,9),(30,32),(31,8),(31,32),(32,19),(32,20),(33,38),(33,40),(34,28),(34,39),(35,22),(35,37),(36,22),(36,28),(37,23),(37,29),(38,29),(38,45),(39,15),(39,46),(40,14),(40,45),(41,17),(41,30),(42,16),(42,31),(43,13),(43,41),(44,12),(44,42),(45,10),(45,44),(46,11),(46,43),(47,18),(47,40),(48,34),(48,36),(49,35),(49,36),(50,33),(50,47),(51,6),(51,47),(52,7),(52,37),(52,38),(53,49),(53,50),(53,55),(53,56),(54,48),(54,51),(54,55),(54,56),(55,24),(55,34),(55,35),(55,52),(56,6),(56,24),(56,33),(56,52)],57)
101101001100=>([(0,3),(0,4),(1,49),(1,51),(2,52),(2,53),(3,1),(3,54),(3,55),(4,2),(4,54),(4,55),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,27),(25,22),(25,26),(26,28),(26,47),(27,29),(27,46),(28,23),(28,44),(29,23),(29,43),(30,27),(30,45),(31,26),(31,48),(32,9),(32,34),(33,8),(33,34),(34,20),(34,21),(35,24),(35,30),(36,35),(36,37),(37,24),(37,25),(38,30),(38,42),(39,25),(39,31),(40,31),(40,41),(41,13),(41,48),(42,16),(42,45),(43,18),(43,32),(44,17),(44,33),(45,12),(45,46),(46,15),(46,43),(47,14),(47,44),(48,11),(48,47),(49,39),(49,40),(50,6),(50,35),(50,38),(51,7),(51,37),(51,39),(52,7),(52,38),(52,56),(53,6),(53,40),(53,56),(54,36),(54,49),(54,50),(54,53),(55,36),(55,50),(55,51),(55,52),(56,10),(56,19),(56,41),(56,42)],57)
101101010010=>([(0,3),(0,4),(1,49),(1,51),(2,48),(2,50),(3,2),(3,52),(3,53),(4,1),(4,52),(4,53),(6,18),(7,19),(8,20),(9,21),(10,12),(11,13),(12,16),(13,17),(14,10),(15,11),(16,8),(17,9),(18,14),(19,15),(20,5),(21,5),(22,28),(22,29),(23,24),(23,25),(24,22),(24,40),(25,22),(25,41),(26,24),(26,42),(27,25),(27,43),(28,8),(28,30),(29,9),(29,30),(30,20),(30,21),(31,23),(31,26),(32,23),(32,27),(33,26),(33,44),(34,27),(34,45),(35,33),(35,38),(36,34),(36,39),(37,31),(37,32),(38,14),(38,44),(39,15),(39,45),(40,16),(40,28),(41,17),(41,29),(42,12),(42,40),(43,13),(43,41),(44,10),(44,42),(45,11),(45,43),(46,18),(46,38),(47,19),(47,39),(48,35),(48,46),(49,36),(49,47),(50,6),(50,46),(51,7),(51,47),(52,48),(52,49),(52,55),(52,56),(53,50),(53,51),(53,55),(53,56),(54,31),(54,32),(54,33),(54,34),(55,6),(55,35),(55,37),(55,54),(56,7),(56,36),(56,37),(56,54)],57)
101101010100=>([(0,3),(0,4),(1,22),(2,29),(2,30),(3,2),(3,46),(3,50),(4,1),(4,46),(4,50),(6,18),(7,11),(8,20),(9,21),(10,17),(11,12),(12,19),(13,14),(14,16),(15,13),(16,8),(17,9),(18,15),(19,10),(20,5),(21,5),(22,7),(23,26),(23,27),(24,34),(24,41),(25,24),(25,39),(26,8),(26,28),(27,9),(27,28),(28,20),(28,21),(29,25),(29,37),(30,6),(30,37),(31,23),(31,36),(32,23),(32,38),(33,31),(33,42),(34,32),(34,40),(35,44),(35,45),(36,17),(36,27),(37,18),(37,39),(38,16),(38,26),(39,15),(39,41),(40,14),(40,38),(41,13),(41,40),(42,10),(42,36),(43,7),(43,35),(43,49),(44,33),(44,34),(44,48),(45,12),(45,33),(45,48),(46,30),(46,43),(46,47),(47,6),(47,25),(47,35),(47,49),(48,19),(48,31),(48,32),(48,42),(49,11),(49,24),(49,44),(49,45),(50,22),(50,29),(50,43),(50,47)],51)
101101011000=>([(0,4),(0,5),(1,20),(2,1),(2,33),(3,36),(3,49),(4,2),(4,52),(4,54),(5,3),(5,52),(5,54),(7,17),(8,14),(9,18),(10,19),(11,13),(12,15),(13,16),(14,12),(15,9),(16,10),(17,11),(18,6),(19,6),(20,7),(21,27),(21,28),(22,29),(22,30),(23,26),(23,42),(24,21),(24,26),(25,21),(25,38),(26,27),(26,46),(27,22),(27,45),(28,22),(28,44),(29,10),(29,31),(30,9),(30,31),(31,18),(31,19),(32,34),(32,35),(33,20),(33,40),(34,23),(34,24),(35,24),(35,25),(36,37),(36,51),(37,25),(37,50),(38,28),(38,43),(39,8),(39,42),(40,7),(40,47),(41,23),(41,39),(42,14),(42,46),(43,13),(43,44),(44,16),(44,29),(45,15),(45,30),(46,12),(46,45),(47,17),(47,48),(48,11),(48,43),(49,40),(49,41),(49,51),(50,8),(50,38),(50,48),(51,39),(51,47),(51,50),(52,32),(52,36),(52,53),(53,34),(53,35),(53,37),(53,41),(54,32),(54,33),(54,49),(54,53)],55)
101101100010=>([(0,4),(0,5),(1,49),(1,53),(2,3),(2,48),(2,50),(3,34),(3,47),(4,1),(4,54),(4,55),(5,2),(5,54),(5,55),(7,19),(8,16),(9,20),(10,21),(11,13),(12,14),(13,12),(14,18),(15,17),(16,15),(17,9),(18,10),(19,11),(20,6),(21,6),(22,29),(22,30),(23,39),(23,40),(24,23),(24,52),(25,26),(25,44),(26,27),(26,45),(27,22),(27,42),(28,22),(28,43),(29,10),(29,31),(30,9),(30,31),(31,20),(31,21),(32,23),(32,38),(33,25),(33,36),(34,25),(34,41),(35,24),(35,32),(36,26),(36,37),(37,27),(37,28),(38,8),(38,40),(39,28),(39,46),(40,16),(40,46),(41,13),(41,44),(42,18),(42,29),(43,17),(43,30),(44,12),(44,45),(45,14),(45,42),(46,15),(46,43),(47,11),(47,41),(48,33),(48,34),(49,24),(49,51),(50,19),(50,47),(51,36),(51,38),(51,52),(52,8),(52,37),(52,39),(53,32),(53,33),(53,51),(54,7),(54,35),(54,49),(54,50),(55,7),(55,35),(55,48),(55,53)],56)
101101100100=>([(0,3),(0,4),(1,48),(1,52),(2,47),(2,51),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,17),(7,14),(8,18),(9,19),(10,11),(11,16),(12,15),(13,10),(14,12),(15,8),(16,9),(17,13),(18,5),(19,5),(20,38),(20,39),(21,28),(21,29),(22,20),(22,37),(23,20),(23,50),(24,25),(24,43),(25,27),(25,44),(26,21),(26,42),(27,21),(27,41),(28,8),(28,30),(29,9),(29,30),(30,18),(30,19),(31,24),(31,35),(32,24),(32,40),(33,22),(33,23),(34,6),(34,46),(35,25),(35,36),(36,26),(36,27),(37,7),(37,39),(38,26),(38,45),(39,14),(39,45),(40,13),(40,43),(41,16),(41,29),(42,15),(42,28),(43,10),(43,44),(44,11),(44,41),(45,12),(45,42),(46,17),(46,40),(47,32),(47,46),(48,23),(48,49),(49,35),(49,37),(49,50),(50,7),(50,36),(50,38),(51,6),(51,31),(51,32),(52,22),(52,31),(52,49),(53,33),(53,34),(53,51),(53,52),(54,33),(54,34),(54,47),(54,48)],55)
101101101000=>([(0,4),(0,5),(1,19),(2,1),(2,28),(3,26),(3,31),(4,2),(4,50),(4,51),(5,3),(5,50),(5,51),(7,16),(8,13),(9,17),(10,18),(11,14),(12,11),(13,15),(14,9),(15,10),(16,12),(17,6),(18,6),(19,7),(20,22),(20,23),(21,38),(21,40),(22,9),(22,25),(23,10),(23,25),(24,7),(24,41),(25,17),(25,18),(26,29),(26,32),(27,24),(27,33),(28,19),(28,24),(29,30),(29,48),(30,21),(30,47),(31,29),(31,49),(32,30),(32,34),(33,39),(33,41),(34,21),(34,35),(35,8),(35,40),(36,37),(36,45),(37,20),(37,42),(38,20),(38,43),(39,36),(39,44),(40,13),(40,43),(41,16),(41,44),(42,14),(42,22),(43,15),(43,23),(44,12),(44,45),(45,11),(45,42),(46,32),(46,33),(46,49),(47,8),(47,37),(47,38),(48,35),(48,36),(48,47),(49,34),(49,39),(49,48),(50,26),(50,27),(50,46),(51,27),(51,28),(51,31),(51,46)],52)
101101110000=>([(0,6),(0,7),(1,3),(1,43),(2,22),(3,2),(3,52),(4,5),(4,55),(4,56),(5,35),(5,40),(6,1),(6,36),(6,54),(7,4),(7,36),(7,54),(9,19),(10,16),(11,20),(12,21),(13,14),(14,17),(15,18),(16,13),(17,11),(18,12),(19,15),(20,8),(21,8),(22,9),(23,31),(23,32),(24,26),(24,27),(25,27),(25,45),(26,28),(26,29),(27,29),(27,51),(28,23),(28,48),(29,23),(29,47),(30,28),(30,49),(31,11),(31,33),(32,12),(32,33),(33,20),(33,21),(34,9),(34,45),(35,24),(35,41),(36,44),(36,55),(37,25),(37,34),(38,42),(38,46),(39,10),(39,46),(40,24),(40,25),(41,26),(41,30),(42,30),(42,50),(43,37),(43,52),(44,38),(44,53),(45,19),(45,51),(46,16),(46,50),(47,18),(47,32),(48,17),(48,31),(49,14),(49,48),(50,13),(50,49),(51,15),(51,47),(52,22),(52,34),(53,10),(53,41),(53,42),(54,43),(54,44),(54,56),(55,35),(55,39),(55,53),(56,37),(56,38),(56,39),(56,40)],57)
101110001010=>([(0,5),(0,6),(1,4),(1,52),(1,54),(2,3),(2,53),(2,55),(3,40),(3,50),(4,38),(4,39),(5,1),(5,58),(5,59),(6,2),(6,58),(6,59),(8,21),(9,12),(10,22),(11,23),(12,15),(13,16),(14,17),(15,13),(16,19),(17,20),(18,14),(19,10),(20,11),(21,18),(22,7),(23,7),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,48),(29,31),(29,47),(30,25),(30,45),(31,25),(31,44),(32,28),(32,49),(33,29),(33,46),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,26),(37,32),(38,26),(38,27),(39,27),(39,33),(40,32),(40,42),(41,33),(41,43),(42,18),(42,49),(43,15),(43,46),(44,19),(44,34),(45,20),(45,35),(46,13),(46,47),(47,16),(47,44),(48,17),(48,45),(49,14),(49,48),(50,21),(50,42),(51,12),(51,43),(52,37),(52,38),(53,37),(53,40),(54,39),(54,41),(55,8),(55,50),(56,9),(56,41),(56,51),(57,8),(57,9),(57,51),(58,52),(58,53),(58,56),(58,57),(59,54),(59,55),(59,56),(59,57)],60)
101110001100=>([(0,5),(0,6),(1,3),(1,51),(1,52),(2,4),(2,56),(2,57),(3,35),(3,37),(4,36),(4,50),(5,1),(5,54),(5,55),(6,2),(6,54),(6,55),(8,20),(9,21),(10,22),(11,23),(12,14),(13,15),(14,13),(15,19),(16,18),(17,16),(18,10),(19,11),(20,17),(21,12),(22,7),(23,7),(24,32),(24,33),(25,26),(25,27),(26,28),(26,29),(27,28),(27,47),(28,24),(28,44),(29,24),(29,45),(30,27),(30,46),(31,29),(31,48),(32,10),(32,34),(33,11),(33,34),(34,22),(34,23),(35,25),(35,40),(36,41),(36,42),(37,25),(37,30),(38,8),(38,43),(39,30),(39,43),(40,26),(40,31),(41,31),(41,49),(42,14),(42,49),(43,20),(43,46),(44,18),(44,32),(45,19),(45,33),(46,17),(46,47),(47,16),(47,44),(48,15),(48,45),(49,13),(49,48),(50,12),(50,42),(51,37),(51,39),(52,35),(52,53),(53,8),(53,40),(53,41),(54,9),(54,52),(54,56),(55,9),(55,51),(55,57),(56,36),(56,38),(56,53),(57,21),(57,38),(57,39),(57,50)],58)
101110010010=>([(0,4),(0,5),(1,49),(1,53),(2,3),(2,48),(2,50),(3,34),(3,47),(4,1),(4,54),(4,55),(5,2),(5,54),(5,55),(7,19),(8,16),(9,20),(10,21),(11,13),(12,14),(13,12),(14,18),(15,17),(16,15),(17,9),(18,10),(19,11),(20,6),(21,6),(22,29),(22,30),(23,39),(23,40),(24,23),(24,52),(25,26),(25,44),(26,27),(26,45),(27,22),(27,42),(28,22),(28,43),(29,10),(29,31),(30,9),(30,31),(31,20),(31,21),(32,23),(32,38),(33,25),(33,36),(34,25),(34,41),(35,24),(35,32),(36,26),(36,37),(37,27),(37,28),(38,8),(38,40),(39,28),(39,46),(40,16),(40,46),(41,13),(41,44),(42,18),(42,29),(43,17),(43,30),(44,12),(44,45),(45,14),(45,42),(46,15),(46,43),(47,11),(47,41),(48,33),(48,34),(49,24),(49,51),(50,19),(50,47),(51,36),(51,38),(51,52),(52,8),(52,37),(52,39),(53,32),(53,33),(53,51),(54,7),(54,35),(54,49),(54,50),(55,7),(55,35),(55,48),(55,53)],56)
101110010100=>([(0,4),(0,5),(1,51),(1,55),(2,3),(2,52),(2,53),(3,39),(3,49),(4,1),(4,57),(4,58),(5,2),(5,57),(5,58),(7,20),(8,11),(9,21),(10,22),(11,14),(12,15),(13,16),(14,12),(15,18),(16,19),(17,13),(18,9),(19,10),(20,17),(21,6),(22,6),(23,29),(23,30),(24,33),(24,34),(25,23),(25,28),(26,23),(26,27),(27,29),(27,47),(28,30),(28,46),(29,24),(29,44),(30,24),(30,43),(31,27),(31,48),(32,28),(32,45),(33,10),(33,35),(34,9),(34,35),(35,21),(35,22),(36,25),(36,32),(37,25),(37,26),(38,26),(38,31),(39,31),(39,41),(40,32),(40,42),(41,14),(41,48),(42,17),(42,45),(43,19),(43,33),(44,18),(44,34),(45,13),(45,46),(46,16),(46,43),(47,15),(47,44),(48,12),(48,47),(49,11),(49,41),(50,20),(50,42),(51,36),(51,37),(52,38),(52,39),(53,8),(53,49),(54,8),(54,40),(54,50),(55,7),(55,37),(55,38),(56,7),(56,36),(56,40),(56,50),(57,52),(57,54),(57,55),(57,56),(58,51),(58,53),(58,54),(58,56)],59)
101110011000=>([(0,5),(0,6),(1,24),(2,4),(2,54),(2,57),(3,1),(3,51),(3,55),(4,39),(4,49),(5,2),(5,52),(5,53),(6,3),(6,52),(6,53),(8,20),(9,21),(10,22),(11,23),(12,14),(13,15),(14,13),(15,18),(16,19),(17,16),(18,10),(19,11),(20,17),(21,12),(22,7),(23,7),(24,8),(25,33),(25,34),(26,28),(26,29),(27,29),(27,43),(28,30),(28,31),(29,31),(29,47),(30,25),(30,45),(31,25),(31,44),(32,30),(32,46),(33,10),(33,35),(34,11),(34,35),(35,22),(35,23),(36,27),(36,50),(37,26),(37,27),(38,26),(38,40),(39,41),(39,42),(40,28),(40,32),(41,32),(41,48),(42,14),(42,48),(43,17),(43,47),(44,19),(44,34),(45,18),(45,33),(46,15),(46,45),(47,16),(47,44),(48,13),(48,46),(49,12),(49,42),(50,20),(50,43),(51,37),(51,38),(52,9),(52,54),(52,55),(53,9),(53,51),(53,57),(54,36),(54,39),(54,56),(55,24),(55,38),(55,56),(56,8),(56,40),(56,41),(56,50),(57,21),(57,36),(57,37),(57,49)],58)
101110100010=>([(0,5),(0,6),(1,4),(1,53),(1,55),(2,3),(2,52),(2,54),(3,37),(3,50),(4,38),(4,51),(5,2),(5,58),(5,59),(6,1),(6,58),(6,59),(8,20),(9,21),(10,22),(11,23),(12,14),(13,15),(14,18),(15,19),(16,12),(17,13),(18,10),(19,11),(20,16),(21,17),(22,7),(23,7),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,46),(29,31),(29,47),(30,25),(30,44),(31,25),(31,45),(32,28),(32,48),(33,29),(33,49),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,32),(37,42),(38,33),(38,43),(39,26),(39,32),(40,27),(40,33),(41,26),(41,27),(42,16),(42,48),(43,17),(43,49),(44,18),(44,34),(45,19),(45,35),(46,14),(46,44),(47,15),(47,45),(48,12),(48,46),(49,13),(49,47),(50,20),(50,42),(51,21),(51,43),(52,37),(52,39),(53,38),(53,40),(54,8),(54,50),(55,9),(55,51),(56,8),(56,39),(56,41),(57,9),(57,40),(57,41),(58,52),(58,53),(58,56),(58,57),(59,54),(59,55),(59,56),(59,57)],60)
101110100100=>([(0,4),(0,5),(1,49),(1,52),(2,3),(2,50),(2,51),(3,34),(3,48),(4,1),(4,56),(4,57),(5,2),(5,56),(5,57),(7,19),(8,11),(9,20),(10,21),(11,13),(12,14),(13,12),(14,18),(15,17),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,30),(22,31),(23,24),(23,25),(24,26),(24,27),(25,26),(25,45),(26,22),(26,42),(27,22),(27,43),(28,25),(28,44),(29,27),(29,46),(30,10),(30,32),(31,9),(31,32),(32,20),(32,21),(33,36),(33,40),(34,28),(34,41),(35,24),(35,29),(36,29),(36,47),(37,23),(37,28),(38,7),(38,40),(39,23),(39,35),(40,19),(40,47),(41,13),(41,44),(42,18),(42,30),(43,17),(43,31),(44,12),(44,45),(45,14),(45,42),(46,15),(46,43),(47,16),(47,46),(48,11),(48,41),(49,33),(49,38),(50,8),(50,48),(51,34),(51,37),(52,33),(52,55),(53,8),(53,37),(53,39),(54,38),(54,39),(54,55),(55,7),(55,35),(55,36),(56,49),(56,50),(56,53),(56,54),(57,51),(57,52),(57,53),(57,54)],58)
101110101000=>([(0,5),(0,6),(1,2),(1,50),(2,9),(3,4),(3,51),(3,52),(4,35),(4,47),(5,1),(5,53),(5,56),(6,3),(6,53),(6,56),(8,21),(9,13),(10,22),(11,23),(12,15),(13,12),(14,16),(15,17),(16,19),(17,20),(18,14),(19,10),(20,11),(21,18),(22,7),(23,7),(24,31),(24,32),(25,27),(25,28),(26,27),(26,44),(27,24),(27,42),(28,24),(28,43),(29,26),(29,46),(30,28),(30,45),(31,10),(31,33),(32,11),(32,33),(33,22),(33,23),(34,29),(34,36),(35,29),(35,40),(36,25),(36,26),(37,30),(37,41),(38,25),(38,30),(39,37),(39,38),(40,18),(40,46),(41,15),(41,45),(42,19),(42,31),(43,20),(43,32),(44,16),(44,42),(45,17),(45,43),(46,14),(46,44),(47,21),(47,40),(48,12),(48,41),(49,13),(49,48),(50,9),(50,49),(51,34),(51,35),(52,8),(52,47),(53,52),(53,54),(53,57),(54,39),(54,49),(54,55),(55,36),(55,37),(55,38),(55,48),(56,50),(56,51),(56,54),(56,57),(57,8),(57,34),(57,39),(57,55)],58)
101110110000=>([(0,6),(0,7),(1,3),(1,43),(2,22),(3,2),(3,52),(4,5),(4,55),(4,56),(5,35),(5,40),(6,1),(6,36),(6,54),(7,4),(7,36),(7,54),(9,19),(10,16),(11,20),(12,21),(13,14),(14,17),(15,18),(16,13),(17,11),(18,12),(19,15),(20,8),(21,8),(22,9),(23,31),(23,32),(24,30),(24,45),(25,26),(25,27),(26,23),(26,47),(27,23),(27,48),(28,29),(28,49),(29,26),(29,50),(30,27),(30,51),(31,11),(31,33),(32,12),(32,33),(33,20),(33,21),(34,9),(34,45),(35,10),(35,46),(36,44),(36,55),(37,24),(37,34),(38,28),(38,41),(39,24),(39,42),(40,28),(40,46),(41,25),(41,29),(42,25),(42,30),(43,37),(43,52),(44,38),(44,53),(45,19),(45,51),(46,16),(46,49),(47,17),(47,31),(48,18),(48,32),(49,13),(49,50),(50,14),(50,47),(51,15),(51,48),(52,22),(52,34),(53,10),(53,41),(53,42),(54,43),(54,44),(54,56),(55,35),(55,39),(55,53),(56,37),(56,38),(56,39),(56,40)],57)
101111000010=>([(0,7),(0,8),(1,6),(1,41),(1,49),(2,5),(2,40),(2,48),(3,52),(3,54),(4,53),(4,55),(5,3),(5,50),(5,56),(6,4),(6,51),(6,57),(7,2),(7,58),(7,59),(8,1),(8,58),(8,59),(10,24),(11,25),(12,26),(13,27),(14,18),(15,19),(16,20),(17,21),(18,16),(19,17),(20,22),(21,23),(22,12),(23,13),(24,14),(25,15),(26,9),(27,9),(28,30),(28,44),(29,30),(29,45),(30,33),(30,34),(31,28),(31,29),(32,36),(32,37),(33,12),(33,35),(34,13),(34,35),(35,26),(35,27),(36,31),(36,38),(37,31),(37,39),(38,28),(38,42),(39,29),(39,43),(40,32),(40,50),(41,32),(41,51),(42,20),(42,44),(43,21),(43,45),(44,22),(44,33),(45,23),(45,34),(46,16),(46,42),(47,17),(47,43),(48,24),(48,56),(49,25),(49,57),(50,36),(50,52),(51,37),(51,53),(52,38),(52,46),(53,39),(53,47),(54,18),(54,46),(55,19),(55,47),(56,14),(56,54),(57,15),(57,55),(58,10),(58,11),(58,48),(58,49),(59,10),(59,11),(59,40),(59,41)],60)
101111000100=>([(0,6),(0,7),(1,5),(1,38),(1,50),(2,4),(2,40),(2,57),(3,53),(3,55),(4,51),(4,54),(5,3),(5,52),(5,56),(6,2),(6,58),(6,59),(7,1),(7,58),(7,59),(9,23),(10,20),(11,24),(12,25),(13,17),(14,16),(15,19),(16,15),(17,18),(18,21),(19,22),(20,13),(21,11),(22,12),(23,14),(24,8),(25,8),(26,28),(26,45),(27,28),(27,30),(28,29),(28,46),(29,32),(29,33),(30,29),(30,47),(31,26),(31,27),(32,11),(32,34),(33,12),(33,34),(34,24),(34,25),(35,27),(35,36),(36,30),(36,43),(37,26),(37,42),(38,41),(38,52),(39,10),(39,44),(40,44),(40,51),(41,31),(41,35),(42,17),(42,45),(43,19),(43,47),(44,20),(44,49),(45,18),(45,46),(46,21),(46,32),(47,22),(47,33),(48,15),(48,43),(49,13),(49,42),(50,23),(50,56),(51,37),(51,49),(52,35),(52,53),(53,36),(53,48),(54,31),(54,37),(55,16),(55,48),(56,14),(56,55),(57,10),(57,41),(57,54),(58,9),(58,39),(58,40),(58,50),(59,9),(59,38),(59,39),(59,57)],60)
101111001000=>([(0,6),(0,7),(1,25),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,5),(4,43),(4,53),(5,35),(5,46),(6,2),(6,57),(6,58),(7,3),(7,57),(7,58),(9,22),(10,14),(11,23),(12,24),(13,16),(14,13),(15,17),(16,15),(17,21),(18,20),(19,18),(20,11),(21,12),(22,19),(23,8),(24,8),(25,9),(26,32),(26,33),(27,36),(27,37),(28,26),(28,30),(29,26),(29,31),(30,32),(30,50),(31,33),(31,51),(32,27),(32,47),(33,27),(33,48),(34,30),(34,52),(35,31),(35,49),(36,11),(36,38),(37,12),(37,38),(38,23),(38,24),(39,9),(39,45),(40,34),(40,45),(41,28),(41,29),(42,28),(42,34),(43,29),(43,35),(44,39),(44,40),(45,22),(45,52),(46,16),(46,49),(47,20),(47,36),(48,21),(48,37),(49,15),(49,51),(50,18),(50,47),(51,17),(51,48),(52,19),(52,50),(53,13),(53,46),(54,41),(54,43),(55,40),(55,42),(56,14),(56,53),(57,10),(57,44),(57,55),(57,56),(58,10),(58,44),(58,54),(58,59),(59,25),(59,39),(59,41),(59,42)],60)
101111010000=>([(0,7),(0,8),(1,3),(1,39),(2,24),(3,2),(3,51),(4,6),(4,40),(4,43),(5,53),(5,54),(6,5),(6,52),(6,55),(7,1),(7,56),(7,58),(8,4),(8,56),(8,58),(10,21),(11,15),(12,22),(13,23),(14,17),(15,16),(16,14),(17,20),(18,19),(19,12),(20,13),(21,18),(22,9),(23,9),(24,10),(25,31),(25,32),(26,33),(26,34),(27,28),(27,36),(28,30),(28,45),(29,25),(29,30),(30,31),(30,49),(31,26),(31,48),(32,26),(32,47),(33,13),(33,35),(34,12),(34,35),(35,22),(35,23),(36,10),(36,45),(37,32),(37,46),(38,25),(38,37),(39,27),(39,51),(40,41),(40,52),(41,29),(41,38),(42,28),(42,29),(43,11),(43,55),(44,27),(44,42),(45,21),(45,49),(46,17),(46,47),(47,20),(47,33),(48,19),(48,34),(49,18),(49,48),(50,14),(50,46),(51,24),(51,36),(52,38),(52,53),(53,37),(53,50),(54,16),(54,50),(55,15),(55,54),(56,43),(56,44),(56,57),(57,11),(57,41),(57,42),(58,39),(58,40),(58,44),(58,57)],59)
101111100000=>([(0,9),(0,10),(1,4),(1,40),(2,26),(3,2),(3,48),(4,3),(4,47),(5,8),(5,41),(5,46),(6,50),(6,54),(7,6),(7,51),(7,53),(8,7),(8,49),(8,52),(9,1),(9,39),(9,55),(10,5),(10,39),(10,55),(12,23),(13,18),(14,24),(15,25),(16,17),(17,21),(18,19),(19,20),(20,16),(21,15),(22,14),(23,22),(24,11),(25,11),(26,12),(27,31),(27,32),(28,27),(28,44),(29,35),(29,36),(30,28),(30,42),(31,15),(31,34),(32,14),(32,34),(33,12),(33,42),(34,24),(34,25),(35,30),(35,33),(36,30),(36,37),(37,28),(37,38),(38,27),(38,43),(39,13),(39,46),(40,29),(40,47),(41,29),(41,49),(42,23),(42,44),(43,21),(43,31),(44,22),(44,32),(45,17),(45,43),(46,18),(46,52),(47,35),(47,48),(48,26),(48,33),(49,36),(49,51),(50,38),(50,45),(51,37),(51,50),(52,19),(52,53),(53,20),(53,54),(54,16),(54,45),(55,13),(55,40),(55,41)],56)
110010101010=>([(0,3),(0,4),(1,18),(2,22),(2,23),(3,2),(3,45),(3,46),(4,1),(4,45),(4,46),(6,15),(7,13),(8,16),(9,17),(10,11),(11,14),(12,10),(13,9),(14,8),(15,12),(16,5),(17,5),(18,6),(19,9),(19,21),(20,8),(20,21),(21,16),(21,17),(22,30),(22,34),(23,6),(23,34),(24,33),(24,44),(25,19),(25,20),(26,7),(26,39),(27,29),(27,37),(28,27),(28,36),(29,25),(29,35),(30,28),(30,38),(31,32),(31,43),(32,26),(32,41),(33,31),(33,42),(34,15),(34,38),(35,14),(35,20),(36,10),(36,37),(37,11),(37,35),(38,12),(38,36),(39,13),(39,19),(40,30),(40,33),(40,44),(41,7),(41,25),(41,39),(42,27),(42,32),(42,43),(43,26),(43,29),(43,41),(44,28),(44,31),(44,42),(45,22),(45,24),(45,40),(46,18),(46,23),(46,24),(46,40)],47)
110010101100=>([(0,3),(0,4),(1,48),(1,50),(2,47),(2,49),(3,2),(3,53),(3,54),(4,1),(4,53),(4,54),(6,16),(7,17),(8,18),(9,19),(10,14),(11,15),(12,10),(13,11),(14,8),(15,9),(16,12),(17,13),(18,5),(19,5),(20,26),(20,27),(21,30),(21,31),(22,20),(22,24),(23,20),(23,25),(24,26),(24,43),(25,27),(25,44),(26,21),(26,41),(27,21),(27,42),(28,24),(28,45),(29,25),(29,46),(30,8),(30,32),(31,9),(31,32),(32,18),(32,19),(33,6),(33,39),(34,7),(34,40),(35,6),(35,7),(36,28),(36,39),(37,29),(37,40),(38,22),(38,23),(39,16),(39,45),(40,17),(40,46),(41,14),(41,30),(42,15),(42,31),(43,10),(43,41),(44,11),(44,42),(45,12),(45,43),(46,13),(46,44),(47,33),(47,35),(48,34),(48,35),(49,33),(49,36),(50,34),(50,37),(51,36),(51,38),(51,55),(52,37),(52,38),(52,55),(53,47),(53,48),(53,51),(53,52),(54,49),(54,50),(54,51),(54,52),(55,22),(55,23),(55,28),(55,29)],56)
110010110010=>([(0,3),(0,4),(1,46),(1,48),(2,47),(2,49),(3,1),(3,50),(3,51),(4,2),(4,50),(4,51),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,19),(17,44),(18,19),(18,45),(19,29),(19,30),(20,27),(20,32),(21,32),(21,33),(22,16),(22,28),(23,28),(23,31),(24,16),(24,27),(25,31),(25,33),(26,22),(26,23),(27,17),(27,42),(28,18),(28,43),(29,8),(29,34),(30,9),(30,34),(31,6),(31,43),(32,7),(32,42),(33,6),(33,7),(34,14),(34,15),(35,23),(35,25),(36,22),(36,24),(37,20),(37,21),(38,21),(38,25),(39,20),(39,24),(40,26),(40,35),(41,26),(41,36),(42,12),(42,44),(43,13),(43,45),(44,10),(44,29),(45,11),(45,30),(46,37),(46,38),(47,37),(47,39),(48,35),(48,38),(49,36),(49,39),(50,40),(50,41),(50,46),(50,47),(51,40),(51,41),(51,48),(51,49)],52)
110010110100=>([(0,3),(0,4),(1,51),(1,52),(2,50),(2,53),(3,1),(3,54),(3,57),(4,2),(4,54),(4,57),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,26),(25,22),(25,27),(26,28),(26,45),(27,29),(27,46),(28,23),(28,42),(29,23),(29,43),(30,26),(30,44),(31,27),(31,47),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,24),(35,25),(36,30),(36,41),(37,24),(37,30),(38,25),(38,31),(39,31),(39,40),(40,16),(40,47),(41,13),(41,44),(42,17),(42,32),(43,18),(43,33),(44,11),(44,45),(45,14),(45,42),(46,15),(46,43),(47,12),(47,46),(48,19),(48,40),(49,10),(49,41),(50,36),(50,49),(51,35),(51,38),(52,7),(52,38),(52,39),(53,6),(53,7),(53,49),(54,50),(54,51),(54,55),(54,56),(55,35),(55,37),(55,39),(55,48),(56,6),(56,36),(56,37),(56,48),(57,52),(57,53),(57,55),(57,56)],58)
110010111000=>([(0,5),(0,6),(1,22),(2,4),(2,52),(2,54),(3,1),(3,53),(3,56),(4,40),(4,41),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,19),(9,12),(10,20),(11,21),(12,13),(13,14),(14,17),(15,18),(16,15),(17,10),(18,11),(19,16),(20,7),(21,7),(22,9),(23,31),(23,32),(24,34),(24,35),(25,23),(25,29),(26,23),(26,30),(27,30),(27,45),(28,25),(28,33),(29,31),(29,48),(30,32),(30,49),(31,24),(31,46),(32,24),(32,47),(33,29),(33,50),(34,11),(34,36),(35,10),(35,36),(36,20),(36,21),(37,25),(37,26),(38,33),(38,44),(39,8),(39,44),(40,27),(40,51),(41,26),(41,27),(42,28),(42,37),(43,28),(43,38),(44,19),(44,50),(45,13),(45,49),(46,18),(46,34),(47,17),(47,35),(48,15),(48,46),(49,14),(49,47),(50,16),(50,48),(51,12),(51,45),(52,37),(52,41),(53,38),(53,39),(54,40),(54,55),(55,8),(55,9),(55,51),(56,22),(56,39),(56,55),(57,42),(57,43),(57,54),(57,56),(58,42),(58,43),(58,52),(58,53)],59)
110011001010=>([(0,3),(0,4),(1,48),(1,52),(2,46),(2,47),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,16),(7,17),(8,18),(9,19),(10,11),(11,14),(12,15),(13,10),(14,8),(15,9),(16,13),(17,12),(18,5),(19,5),(20,26),(20,27),(21,23),(21,38),(22,23),(22,33),(23,24),(23,43),(24,20),(24,40),(25,20),(25,41),(26,9),(26,28),(27,8),(27,28),(28,18),(28,19),(29,22),(29,51),(30,21),(30,36),(31,21),(31,22),(32,6),(32,45),(33,24),(33,25),(34,35),(34,44),(35,25),(35,42),(36,7),(36,38),(37,34),(37,39),(38,17),(38,43),(39,13),(39,44),(40,15),(40,26),(41,14),(41,27),(42,11),(42,41),(43,12),(43,40),(44,10),(44,42),(45,16),(45,39),(46,30),(46,31),(47,29),(47,31),(48,29),(48,49),(49,34),(49,36),(49,51),(50,6),(50,37),(50,45),(51,7),(51,33),(51,35),(52,30),(52,37),(52,49),(53,32),(53,47),(53,48),(53,50),(54,32),(54,46),(54,50),(54,52)],55)
110011001100=>([(0,3),(0,4),(1,38),(1,40),(2,37),(2,39),(3,2),(3,32),(3,33),(4,1),(4,32),(4,33),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,23),(12,24),(13,21),(13,23),(14,22),(14,24),(15,21),(15,22),(16,25),(16,26),(17,13),(17,15),(18,14),(18,15),(19,12),(19,13),(20,12),(20,14),(21,16),(21,34),(22,16),(22,35),(23,34),(23,36),(24,35),(24,36),(25,8),(25,27),(26,9),(26,27),(27,10),(27,11),(28,17),(28,18),(29,17),(29,19),(30,18),(30,20),(31,19),(31,20),(32,37),(32,38),(33,39),(33,40),(34,6),(34,25),(35,7),(35,26),(36,6),(36,7),(37,29),(37,31),(38,30),(38,31),(39,28),(39,29),(40,28),(40,30)],41)
110011010010=>([(0,3),(0,4),(1,49),(1,51),(2,52),(2,53),(3,1),(3,54),(3,55),(4,2),(4,54),(4,55),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,27),(25,22),(25,26),(26,28),(26,47),(27,29),(27,46),(28,23),(28,44),(29,23),(29,43),(30,27),(30,45),(31,26),(31,48),(32,9),(32,34),(33,8),(33,34),(34,20),(34,21),(35,24),(35,30),(36,35),(36,37),(37,24),(37,25),(38,30),(38,42),(39,25),(39,31),(40,31),(40,41),(41,13),(41,48),(42,16),(42,45),(43,18),(43,32),(44,17),(44,33),(45,12),(45,46),(46,15),(46,43),(47,14),(47,44),(48,11),(48,47),(49,39),(49,40),(50,6),(50,35),(50,38),(51,7),(51,37),(51,39),(52,7),(52,38),(52,56),(53,6),(53,40),(53,56),(54,36),(54,49),(54,50),(54,53),(55,36),(55,50),(55,51),(55,52),(56,10),(56,19),(56,41),(56,42)],57)
110011010100=>([(0,3),(0,4),(1,49),(1,52),(2,48),(2,53),(3,1),(3,54),(3,55),(4,2),(4,54),(4,55),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,26),(25,22),(25,27),(26,28),(26,45),(27,29),(27,44),(28,23),(28,42),(29,23),(29,41),(30,26),(30,46),(31,27),(31,43),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,24),(35,30),(36,30),(36,39),(37,24),(37,25),(38,31),(38,40),(39,16),(39,46),(40,13),(40,43),(41,17),(41,32),(42,18),(42,33),(43,11),(43,44),(44,14),(44,41),(45,15),(45,42),(46,12),(46,45),(47,19),(47,39),(48,36),(48,47),(49,35),(49,36),(50,37),(50,38),(50,56),(51,7),(51,38),(51,56),(52,6),(52,35),(52,37),(53,6),(53,7),(53,47),(54,50),(54,51),(54,52),(54,53),(55,48),(55,49),(55,50),(55,51),(56,10),(56,25),(56,31),(56,40)],57)
110011011000=>([(0,4),(0,5),(1,21),(2,52),(2,54),(3,1),(3,48),(3,53),(4,2),(4,50),(4,51),(5,3),(5,50),(5,51),(7,18),(8,11),(9,19),(10,20),(11,12),(12,13),(13,16),(14,17),(15,14),(16,9),(17,10),(18,15),(19,6),(20,6),(21,8),(22,24),(22,29),(23,31),(23,32),(24,27),(24,28),(25,22),(25,37),(26,22),(26,36),(27,23),(27,42),(28,23),(28,43),(29,28),(29,45),(30,27),(30,44),(31,10),(31,33),(32,9),(32,33),(33,19),(33,20),(34,38),(34,40),(35,7),(35,40),(36,29),(36,41),(37,24),(37,30),(38,30),(38,46),(39,25),(39,26),(40,18),(40,46),(41,12),(41,45),(42,17),(42,31),(43,16),(43,32),(44,14),(44,42),(45,13),(45,43),(46,15),(46,44),(47,11),(47,41),(48,34),(48,35),(49,7),(49,8),(49,47),(50,39),(50,53),(50,54),(51,39),(51,48),(51,52),(52,26),(52,34),(52,55),(53,21),(53,35),(53,49),(54,25),(54,49),(54,55),(55,36),(55,37),(55,38),(55,47)],56)
110011100010=>([(0,5),(0,6),(1,3),(1,51),(1,52),(2,4),(2,56),(2,57),(3,35),(3,37),(4,36),(4,50),(5,1),(5,54),(5,55),(6,2),(6,54),(6,55),(8,20),(9,21),(10,22),(11,23),(12,14),(13,15),(14,13),(15,19),(16,18),(17,16),(18,10),(19,11),(20,17),(21,12),(22,7),(23,7),(24,32),(24,33),(25,26),(25,27),(26,28),(26,29),(27,28),(27,47),(28,24),(28,44),(29,24),(29,45),(30,27),(30,46),(31,29),(31,48),(32,10),(32,34),(33,11),(33,34),(34,22),(34,23),(35,25),(35,40),(36,41),(36,42),(37,25),(37,30),(38,8),(38,43),(39,30),(39,43),(40,26),(40,31),(41,31),(41,49),(42,14),(42,49),(43,20),(43,46),(44,18),(44,32),(45,19),(45,33),(46,17),(46,47),(47,16),(47,44),(48,15),(48,45),(49,13),(49,48),(50,12),(50,42),(51,37),(51,39),(52,35),(52,53),(53,8),(53,40),(53,41),(54,9),(54,52),(54,56),(55,9),(55,51),(55,57),(56,36),(56,38),(56,53),(57,21),(57,38),(57,39),(57,50)],58)
110011100100=>([(0,4),(0,5),(1,53),(1,54),(2,3),(2,47),(2,48),(3,34),(3,35),(4,1),(4,50),(4,51),(5,2),(5,50),(5,51),(7,18),(8,15),(9,19),(10,20),(11,14),(12,11),(13,16),(14,17),(15,13),(16,9),(17,10),(18,12),(19,6),(20,6),(21,27),(21,28),(22,29),(22,30),(23,26),(23,39),(24,21),(24,26),(25,21),(25,36),(26,27),(26,43),(27,22),(27,42),(28,22),(28,41),(29,10),(29,31),(30,9),(30,31),(31,19),(31,20),(32,23),(32,37),(33,25),(33,52),(34,23),(34,24),(35,24),(35,25),(36,28),(36,40),(37,8),(37,39),(38,7),(38,44),(39,15),(39,43),(40,14),(40,41),(41,17),(41,29),(42,16),(42,30),(43,13),(43,42),(44,18),(44,45),(45,12),(45,46),(46,11),(46,40),(47,33),(47,35),(48,32),(48,34),(49,37),(49,45),(49,52),(50,38),(50,48),(50,53),(51,38),(51,47),(51,54),(52,8),(52,36),(52,46),(53,32),(53,44),(53,49),(54,7),(54,33),(54,49)],55)
110011101000=>([(0,5),(0,6),(1,23),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,40),(4,44),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,20),(9,12),(10,21),(11,22),(12,14),(13,15),(14,13),(15,19),(16,18),(17,16),(18,10),(19,11),(20,17),(21,7),(22,7),(23,8),(24,31),(24,32),(25,35),(25,36),(26,24),(26,29),(27,34),(27,45),(28,24),(28,30),(29,31),(29,51),(30,32),(30,50),(31,25),(31,48),(32,25),(32,47),(33,29),(33,49),(34,30),(34,52),(35,10),(35,37),(36,11),(36,37),(37,21),(37,22),(38,8),(38,45),(39,33),(39,46),(40,26),(40,33),(41,27),(41,38),(42,27),(42,43),(43,28),(43,34),(44,26),(44,28),(45,20),(45,52),(46,14),(46,49),(47,18),(47,35),(48,19),(48,36),(49,13),(49,51),(50,16),(50,47),(51,15),(51,48),(52,17),(52,50),(53,12),(53,46),(54,39),(54,40),(55,39),(55,53),(56,9),(56,43),(56,44),(57,41),(57,42),(57,54),(57,55),(58,41),(58,42),(58,56),(58,59),(59,9),(59,23),(59,38),(59,53)],60)
110011110000=>([(0,7),(0,8),(1,23),(2,1),(2,40),(3,5),(3,52),(3,54),(4,2),(4,53),(4,56),(5,6),(5,38),(5,39),(6,26),(6,27),(7,3),(7,41),(7,42),(8,4),(8,41),(8,42),(10,20),(11,17),(12,21),(13,22),(14,15),(15,18),(16,19),(17,14),(18,12),(19,13),(20,16),(21,9),(22,9),(23,10),(24,29),(24,30),(25,33),(25,34),(26,24),(26,28),(27,24),(27,32),(28,29),(28,49),(29,25),(29,47),(30,25),(30,48),(31,28),(31,51),(32,30),(32,50),(33,12),(33,35),(34,13),(34,35),(35,21),(35,22),(36,11),(36,45),(37,31),(37,45),(38,27),(38,43),(39,26),(39,31),(40,23),(40,44),(41,54),(41,56),(42,52),(42,53),(43,32),(43,46),(44,10),(44,46),(45,17),(45,51),(46,20),(46,50),(47,18),(47,33),(48,19),(48,34),(49,15),(49,47),(50,16),(50,48),(51,14),(51,49),(52,37),(52,39),(53,36),(53,37),(54,38),(54,55),(55,11),(55,43),(55,44),(56,36),(56,40),(56,55)],57)
110100101010=>([(0,3),(0,4),(1,20),(2,32),(2,33),(3,2),(3,49),(3,52),(4,1),(4,49),(4,52),(6,17),(7,10),(8,18),(9,19),(10,12),(11,13),(12,11),(13,15),(14,16),(15,8),(16,9),(17,14),(18,5),(19,5),(20,7),(21,24),(21,25),(22,29),(22,30),(23,21),(23,27),(24,26),(24,28),(25,26),(25,44),(26,22),(26,41),(27,25),(27,43),(28,22),(28,42),(29,8),(29,31),(30,9),(30,31),(31,18),(31,19),(32,23),(32,34),(33,23),(33,35),(34,27),(34,40),(35,21),(35,36),(36,24),(36,37),(37,28),(37,39),(38,6),(38,45),(39,14),(39,42),(40,12),(40,43),(41,15),(41,29),(42,16),(42,30),(43,11),(43,44),(44,13),(44,41),(45,17),(45,39),(46,7),(46,48),(46,51),(47,6),(47,37),(47,45),(48,36),(48,38),(48,47),(49,33),(49,46),(49,50),(50,34),(50,35),(50,48),(50,51),(51,10),(51,38),(51,40),(51,47),(52,20),(52,32),(52,46),(52,50)],53)
110100101100=>([(0,3),(0,4),(1,51),(1,52),(2,50),(2,53),(3,1),(3,54),(3,57),(4,2),(4,54),(4,57),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,26),(25,22),(25,27),(26,28),(26,45),(27,29),(27,46),(28,23),(28,42),(29,23),(29,43),(30,26),(30,44),(31,27),(31,47),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,24),(35,25),(36,30),(36,41),(37,24),(37,30),(38,25),(38,31),(39,31),(39,40),(40,16),(40,47),(41,13),(41,44),(42,17),(42,32),(43,18),(43,33),(44,11),(44,45),(45,14),(45,42),(46,15),(46,43),(47,12),(47,46),(48,19),(48,40),(49,10),(49,41),(50,36),(50,49),(51,35),(51,38),(52,7),(52,38),(52,39),(53,6),(53,7),(53,49),(54,50),(54,51),(54,55),(54,56),(55,35),(55,37),(55,39),(55,48),(56,6),(56,36),(56,37),(56,48),(57,52),(57,53),(57,55),(57,56)],58)
110100110010=>([(0,3),(0,4),(1,49),(1,52),(2,51),(2,53),(3,1),(3,54),(3,55),(4,2),(4,54),(4,55),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,26),(25,22),(25,27),(26,28),(26,45),(27,29),(27,46),(28,23),(28,42),(29,23),(29,43),(30,26),(30,44),(31,27),(31,47),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,6),(35,48),(36,31),(36,40),(37,24),(37,30),(38,24),(38,25),(39,30),(39,41),(40,16),(40,47),(41,13),(41,44),(42,17),(42,32),(43,18),(43,33),(44,11),(44,45),(45,14),(45,42),(46,15),(46,43),(47,12),(47,46),(48,19),(48,40),(49,37),(49,38),(50,7),(50,36),(50,48),(51,36),(51,39),(51,56),(52,6),(52,37),(52,39),(53,7),(53,38),(53,56),(54,35),(54,49),(54,50),(54,53),(55,35),(55,50),(55,51),(55,52),(56,10),(56,25),(56,31),(56,41)],57)
110100110100=>([(0,3),(0,4),(1,47),(1,49),(2,46),(2,48),(3,2),(3,50),(3,51),(4,1),(4,50),(4,51),(6,12),(7,13),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,19),(17,44),(18,19),(18,45),(19,29),(19,30),(20,16),(20,27),(21,16),(21,28),(22,31),(22,33),(23,32),(23,33),(24,27),(24,31),(25,28),(25,32),(26,22),(26,23),(27,17),(27,42),(28,18),(28,43),(29,8),(29,34),(30,9),(30,34),(31,6),(31,42),(32,7),(32,43),(33,6),(33,7),(34,14),(34,15),(35,22),(35,24),(36,23),(36,25),(37,20),(37,21),(38,20),(38,24),(39,21),(39,25),(40,26),(40,35),(41,26),(41,36),(42,12),(42,44),(43,13),(43,45),(44,10),(44,29),(45,11),(45,30),(46,37),(46,38),(47,37),(47,39),(48,35),(48,38),(49,36),(49,39),(50,40),(50,41),(50,46),(50,47),(51,40),(51,41),(51,48),(51,49)],52)
110100111000=>([(0,5),(0,6),(1,23),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,40),(4,44),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,20),(9,17),(10,21),(11,22),(12,14),(13,12),(14,19),(15,18),(16,15),(17,13),(18,10),(19,11),(20,16),(21,7),(22,7),(23,8),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,52),(29,31),(29,51),(30,25),(30,47),(31,25),(31,48),(32,28),(32,49),(33,29),(33,50),(34,11),(34,36),(35,10),(35,36),(36,21),(36,22),(37,32),(37,53),(38,26),(38,32),(39,26),(39,27),(40,27),(40,33),(41,37),(41,45),(42,9),(42,45),(43,8),(43,46),(44,33),(44,46),(45,17),(45,53),(46,20),(46,50),(47,19),(47,34),(48,18),(48,35),(49,12),(49,52),(50,16),(50,51),(51,15),(51,48),(52,14),(52,47),(53,13),(53,49),(54,39),(54,40),(55,38),(55,39),(56,9),(56,43),(56,44),(57,41),(57,42),(57,54),(57,55),(58,41),(58,42),(58,56),(58,59),(59,23),(59,37),(59,38),(59,43)],60)
110101001010=>([(0,3),(0,4),(1,20),(2,33),(2,34),(3,2),(3,49),(3,52),(4,1),(4,49),(4,52),(6,17),(7,12),(8,18),(9,19),(10,11),(11,13),(12,10),(13,16),(14,15),(15,8),(16,9),(17,14),(18,5),(19,5),(20,7),(21,28),(21,29),(22,30),(22,31),(23,24),(23,25),(24,21),(24,27),(25,27),(25,39),(26,21),(26,37),(27,28),(27,43),(28,22),(28,42),(29,22),(29,41),(30,9),(30,32),(31,8),(31,32),(32,18),(32,19),(33,23),(33,36),(34,23),(34,35),(35,25),(35,38),(36,24),(36,26),(37,29),(37,40),(38,6),(38,39),(39,17),(39,43),(40,13),(40,41),(41,16),(41,30),(42,15),(42,31),(43,14),(43,42),(44,11),(44,40),(45,10),(45,44),(46,7),(46,48),(46,51),(47,6),(47,37),(47,44),(48,38),(48,45),(48,47),(49,34),(49,46),(49,50),(50,35),(50,36),(50,48),(50,51),(51,12),(51,26),(51,45),(51,47),(52,20),(52,33),(52,46),(52,50)],53)
110101001100=>([(0,3),(0,4),(1,49),(1,52),(2,48),(2,53),(3,1),(3,54),(3,55),(4,2),(4,54),(4,55),(6,19),(7,10),(8,20),(9,21),(10,13),(11,14),(12,15),(13,11),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,26),(25,22),(25,27),(26,28),(26,45),(27,29),(27,44),(28,23),(28,42),(29,23),(29,41),(30,26),(30,46),(31,27),(31,43),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,24),(35,30),(36,30),(36,39),(37,24),(37,25),(38,31),(38,40),(39,16),(39,46),(40,13),(40,43),(41,17),(41,32),(42,18),(42,33),(43,11),(43,44),(44,14),(44,41),(45,15),(45,42),(46,12),(46,45),(47,19),(47,39),(48,36),(48,47),(49,35),(49,36),(50,37),(50,38),(50,56),(51,7),(51,38),(51,56),(52,6),(52,35),(52,37),(53,6),(53,7),(53,47),(54,50),(54,51),(54,52),(54,53),(55,48),(55,49),(55,50),(55,51),(56,10),(56,25),(56,31),(56,40)],57)
110101010010=>([(0,3),(0,4),(1,22),(2,29),(2,30),(3,2),(3,46),(3,50),(4,1),(4,46),(4,50),(6,18),(7,11),(8,20),(9,21),(10,17),(11,12),(12,19),(13,14),(14,16),(15,13),(16,8),(17,9),(18,15),(19,10),(20,5),(21,5),(22,7),(23,26),(23,27),(24,34),(24,41),(25,24),(25,39),(26,8),(26,28),(27,9),(27,28),(28,20),(28,21),(29,25),(29,37),(30,6),(30,37),(31,23),(31,36),(32,23),(32,38),(33,31),(33,42),(34,32),(34,40),(35,44),(35,45),(36,17),(36,27),(37,18),(37,39),(38,16),(38,26),(39,15),(39,41),(40,14),(40,38),(41,13),(41,40),(42,10),(42,36),(43,7),(43,35),(43,49),(44,33),(44,34),(44,48),(45,12),(45,33),(45,48),(46,30),(46,43),(46,47),(47,6),(47,25),(47,35),(47,49),(48,19),(48,31),(48,32),(48,42),(49,11),(49,24),(49,44),(49,45),(50,22),(50,29),(50,43),(50,47)],51)
110101010100=>([(0,3),(0,4),(1,23),(2,22),(3,2),(3,30),(3,40),(4,1),(4,30),(4,40),(6,14),(7,15),(8,16),(9,17),(10,6),(11,7),(12,18),(13,19),(14,8),(15,9),(16,12),(17,13),(18,20),(19,21),(20,5),(21,5),(22,10),(23,11),(24,33),(24,34),(25,27),(25,28),(26,35),(26,36),(27,18),(27,29),(28,19),(28,29),(29,20),(29,21),(30,31),(30,32),(31,10),(31,24),(31,37),(32,11),(32,24),(32,37),(33,14),(33,26),(33,39),(34,15),(34,26),(34,39),(35,16),(35,25),(35,38),(36,17),(36,25),(36,38),(37,6),(37,7),(37,33),(37,34),(38,12),(38,13),(38,27),(38,28),(39,8),(39,9),(39,35),(39,36),(40,22),(40,23),(40,31),(40,32)],41)
110101011000=>([(0,4),(0,5),(1,22),(2,1),(2,33),(3,34),(3,48),(4,2),(4,51),(4,54),(5,3),(5,51),(5,54),(7,19),(8,12),(9,20),(10,21),(11,13),(12,11),(13,14),(14,17),(15,18),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,7),(23,30),(23,31),(24,25),(24,26),(25,23),(25,43),(26,23),(26,44),(27,25),(27,45),(28,27),(28,47),(29,26),(29,46),(30,10),(30,32),(31,9),(31,32),(32,20),(32,21),(33,22),(33,40),(34,35),(34,37),(35,28),(35,38),(36,49),(36,50),(37,28),(37,41),(38,24),(38,27),(39,29),(39,42),(40,7),(40,41),(41,19),(41,47),(42,13),(42,46),(43,18),(43,30),(44,17),(44,31),(45,15),(45,43),(46,14),(46,44),(47,16),(47,45),(48,8),(48,37),(48,40),(49,38),(49,39),(49,53),(50,12),(50,39),(50,53),(51,34),(51,36),(51,52),(52,8),(52,35),(52,49),(52,50),(53,11),(53,24),(53,29),(53,42),(54,33),(54,36),(54,48),(54,52)],55)
110101100010=>([(0,4),(0,5),(1,51),(1,55),(2,3),(2,52),(2,53),(3,39),(3,49),(4,1),(4,57),(4,58),(5,2),(5,57),(5,58),(7,20),(8,11),(9,21),(10,22),(11,14),(12,15),(13,16),(14,12),(15,18),(16,19),(17,13),(18,9),(19,10),(20,17),(21,6),(22,6),(23,29),(23,30),(24,33),(24,34),(25,23),(25,28),(26,23),(26,27),(27,29),(27,47),(28,30),(28,46),(29,24),(29,44),(30,24),(30,43),(31,27),(31,48),(32,28),(32,45),(33,10),(33,35),(34,9),(34,35),(35,21),(35,22),(36,25),(36,32),(37,25),(37,26),(38,26),(38,31),(39,31),(39,41),(40,32),(40,42),(41,14),(41,48),(42,17),(42,45),(43,19),(43,33),(44,18),(44,34),(45,13),(45,46),(46,16),(46,43),(47,15),(47,44),(48,12),(48,47),(49,11),(49,41),(50,20),(50,42),(51,36),(51,37),(52,38),(52,39),(53,8),(53,49),(54,8),(54,40),(54,50),(55,7),(55,37),(55,38),(56,7),(56,36),(56,40),(56,50),(57,52),(57,54),(57,55),(57,56),(58,51),(58,53),(58,54),(58,56)],59)
110101100100=>([(0,3),(0,4),(1,50),(1,52),(2,51),(2,53),(3,1),(3,54),(3,57),(4,2),(4,54),(4,57),(6,19),(7,18),(8,20),(9,21),(10,13),(11,14),(12,10),(13,16),(14,17),(15,11),(16,8),(17,9),(18,15),(19,12),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,27),(25,22),(25,26),(26,28),(26,45),(27,29),(27,46),(28,23),(28,42),(29,23),(29,43),(30,27),(30,47),(31,26),(31,44),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,24),(35,30),(36,30),(36,40),(37,31),(37,41),(38,24),(38,25),(39,25),(39,31),(40,15),(40,47),(41,12),(41,44),(42,16),(42,32),(43,17),(43,33),(44,10),(44,45),(45,13),(45,42),(46,14),(46,43),(47,11),(47,46),(48,19),(48,41),(49,18),(49,40),(50,37),(50,48),(51,35),(51,38),(52,6),(52,37),(52,39),(53,7),(53,38),(53,39),(54,50),(54,51),(54,55),(54,56),(55,6),(55,36),(55,48),(55,49),(56,7),(56,35),(56,36),(56,49),(57,52),(57,53),(57,55),(57,56)],58)
110101101000=>([(0,4),(0,5),(1,20),(2,1),(2,33),(3,34),(3,35),(4,2),(4,52),(4,54),(5,3),(5,52),(5,54),(7,17),(8,14),(9,18),(10,19),(11,13),(12,15),(13,16),(14,12),(15,9),(16,10),(17,11),(18,6),(19,6),(20,7),(21,28),(21,29),(22,30),(22,31),(23,24),(23,26),(24,21),(24,27),(25,27),(25,42),(26,21),(26,38),(27,28),(27,46),(28,22),(28,45),(29,22),(29,44),(30,10),(30,32),(31,9),(31,32),(32,18),(32,19),(33,20),(33,40),(34,23),(34,37),(35,23),(35,36),(36,24),(36,25),(37,26),(37,50),(38,29),(38,43),(39,8),(39,42),(40,7),(40,47),(41,25),(41,39),(42,14),(42,46),(43,13),(43,44),(44,16),(44,30),(45,15),(45,31),(46,12),(46,45),(47,17),(47,48),(48,11),(48,43),(49,40),(49,41),(49,51),(50,8),(50,38),(50,48),(51,39),(51,47),(51,50),(52,35),(52,49),(52,53),(53,36),(53,37),(53,41),(53,51),(54,33),(54,34),(54,49),(54,53)],55)
110101110000=>([(0,6),(0,7),(1,3),(1,43),(2,23),(3,2),(3,53),(4,5),(4,54),(4,56),(5,41),(5,42),(6,1),(6,55),(6,57),(7,4),(7,55),(7,57),(9,20),(10,17),(11,21),(12,22),(13,15),(14,13),(15,18),(16,19),(17,14),(18,11),(19,12),(20,16),(21,8),(22,8),(23,9),(24,31),(24,32),(25,35),(25,36),(26,24),(26,29),(27,30),(27,45),(28,24),(28,30),(29,31),(29,51),(30,32),(30,52),(31,25),(31,47),(32,25),(32,48),(33,29),(33,49),(34,33),(34,50),(35,11),(35,37),(36,12),(36,37),(37,21),(37,22),(38,9),(38,45),(39,27),(39,38),(40,26),(40,33),(41,27),(41,28),(42,26),(42,28),(43,39),(43,53),(44,34),(44,46),(45,20),(45,52),(46,17),(46,50),(47,18),(47,35),(48,19),(48,36),(49,13),(49,51),(50,14),(50,49),(51,15),(51,47),(52,16),(52,48),(53,23),(53,38),(54,40),(54,42),(55,44),(55,54),(55,58),(56,10),(56,39),(56,41),(57,43),(57,44),(57,56),(57,58),(58,10),(58,34),(58,40),(58,46)],59)
110110001010=>([(0,4),(0,5),(1,51),(1,55),(2,3),(2,52),(2,53),(3,38),(3,39),(4,1),(4,57),(4,58),(5,2),(5,57),(5,58),(7,20),(8,11),(9,21),(10,22),(11,14),(12,15),(13,16),(14,12),(15,18),(16,19),(17,13),(18,9),(19,10),(20,17),(21,6),(22,6),(23,29),(23,30),(24,33),(24,34),(25,23),(25,27),(26,23),(26,28),(27,29),(27,47),(28,30),(28,46),(29,24),(29,44),(30,24),(30,43),(31,27),(31,48),(32,28),(32,45),(33,9),(33,35),(34,10),(34,35),(35,21),(35,22),(36,25),(36,31),(37,31),(37,41),(38,25),(38,26),(39,26),(39,32),(40,32),(40,42),(41,17),(41,48),(42,14),(42,45),(43,18),(43,33),(44,19),(44,34),(45,12),(45,46),(46,15),(46,43),(47,16),(47,44),(48,13),(48,47),(49,20),(49,41),(50,11),(50,42),(51,37),(51,49),(52,36),(52,38),(53,39),(53,40),(54,8),(54,40),(54,50),(55,7),(55,36),(55,37),(56,7),(56,8),(56,49),(56,50),(57,52),(57,54),(57,55),(57,56),(58,51),(58,53),(58,54),(58,56)],59)
110110001100=>([(0,4),(0,5),(1,53),(1,54),(2,3),(2,47),(2,48),(3,34),(3,35),(4,1),(4,50),(4,51),(5,2),(5,50),(5,51),(7,18),(8,15),(9,19),(10,20),(11,14),(12,11),(13,16),(14,17),(15,13),(16,9),(17,10),(18,12),(19,6),(20,6),(21,27),(21,28),(22,29),(22,30),(23,26),(23,39),(24,21),(24,26),(25,21),(25,36),(26,27),(26,43),(27,22),(27,42),(28,22),(28,41),(29,10),(29,31),(30,9),(30,31),(31,19),(31,20),(32,23),(32,37),(33,25),(33,52),(34,23),(34,24),(35,24),(35,25),(36,28),(36,40),(37,8),(37,39),(38,7),(38,44),(39,15),(39,43),(40,14),(40,41),(41,17),(41,29),(42,16),(42,30),(43,13),(43,42),(44,18),(44,45),(45,12),(45,46),(46,11),(46,40),(47,33),(47,35),(48,32),(48,34),(49,37),(49,45),(49,52),(50,38),(50,48),(50,53),(51,38),(51,47),(51,54),(52,8),(52,36),(52,46),(53,32),(53,44),(53,49),(54,7),(54,33),(54,49)],55)
110110010010=>([(0,3),(0,4),(1,48),(1,52),(2,47),(2,51),(3,1),(3,53),(3,54),(4,2),(4,53),(4,54),(6,17),(7,14),(8,18),(9,19),(10,11),(11,16),(12,15),(13,10),(14,12),(15,8),(16,9),(17,13),(18,5),(19,5),(20,38),(20,39),(21,28),(21,29),(22,20),(22,37),(23,20),(23,50),(24,25),(24,43),(25,27),(25,44),(26,21),(26,42),(27,21),(27,41),(28,8),(28,30),(29,9),(29,30),(30,18),(30,19),(31,24),(31,35),(32,24),(32,40),(33,22),(33,23),(34,6),(34,46),(35,25),(35,36),(36,26),(36,27),(37,7),(37,39),(38,26),(38,45),(39,14),(39,45),(40,13),(40,43),(41,16),(41,29),(42,15),(42,28),(43,10),(43,44),(44,11),(44,41),(45,12),(45,42),(46,17),(46,40),(47,32),(47,46),(48,23),(48,49),(49,35),(49,37),(49,50),(50,7),(50,36),(50,38),(51,6),(51,31),(51,32),(52,22),(52,31),(52,49),(53,33),(53,34),(53,51),(53,52),(54,33),(54,34),(54,47),(54,48)],55)
110110010100=>([(0,3),(0,4),(1,50),(1,52),(2,51),(2,53),(3,1),(3,54),(3,57),(4,2),(4,54),(4,57),(6,19),(7,18),(8,20),(9,21),(10,13),(11,14),(12,10),(13,16),(14,17),(15,11),(16,8),(17,9),(18,15),(19,12),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,27),(25,22),(25,26),(26,28),(26,45),(27,29),(27,46),(28,23),(28,42),(29,23),(29,43),(30,27),(30,47),(31,26),(31,44),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,24),(35,30),(36,30),(36,40),(37,31),(37,41),(38,24),(38,25),(39,25),(39,31),(40,15),(40,47),(41,12),(41,44),(42,16),(42,32),(43,17),(43,33),(44,10),(44,45),(45,13),(45,42),(46,14),(46,43),(47,11),(47,46),(48,19),(48,41),(49,18),(49,40),(50,37),(50,48),(51,35),(51,38),(52,6),(52,37),(52,39),(53,7),(53,38),(53,39),(54,50),(54,51),(54,55),(54,56),(55,6),(55,36),(55,48),(55,49),(56,7),(56,35),(56,36),(56,49),(57,52),(57,53),(57,55),(57,56)],58)
110110011000=>([(0,4),(0,5),(1,22),(2,51),(2,53),(3,1),(3,46),(3,52),(4,2),(4,47),(4,48),(5,3),(5,47),(5,48),(7,18),(8,19),(9,20),(10,21),(11,14),(12,15),(13,11),(14,16),(15,17),(16,9),(17,10),(18,13),(19,12),(20,6),(21,6),(22,8),(23,24),(23,40),(24,29),(24,30),(25,27),(25,28),(26,24),(26,41),(27,23),(27,26),(28,23),(28,38),(29,10),(29,31),(30,9),(30,31),(31,20),(31,21),(32,25),(32,35),(33,25),(33,36),(34,26),(34,39),(35,28),(35,44),(36,27),(36,34),(37,7),(37,42),(38,15),(38,40),(39,14),(39,41),(40,17),(40,29),(41,16),(41,30),(42,18),(42,45),(43,11),(43,39),(44,12),(44,38),(45,13),(45,43),(46,32),(46,33),(47,37),(47,52),(47,53),(48,37),(48,46),(48,51),(49,35),(49,45),(49,54),(50,8),(50,36),(50,54),(51,32),(51,42),(51,49),(52,22),(52,33),(52,50),(53,7),(53,49),(53,50),(54,19),(54,34),(54,43),(54,44)],55)
110110100010=>([(0,4),(0,5),(1,49),(1,52),(2,3),(2,50),(2,51),(3,34),(3,48),(4,1),(4,56),(4,57),(5,2),(5,56),(5,57),(7,19),(8,11),(9,20),(10,21),(11,13),(12,14),(13,12),(14,18),(15,17),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,30),(22,31),(23,24),(23,25),(24,26),(24,27),(25,26),(25,45),(26,22),(26,42),(27,22),(27,43),(28,25),(28,44),(29,27),(29,46),(30,10),(30,32),(31,9),(31,32),(32,20),(32,21),(33,36),(33,40),(34,28),(34,41),(35,24),(35,29),(36,29),(36,47),(37,23),(37,28),(38,7),(38,40),(39,23),(39,35),(40,19),(40,47),(41,13),(41,44),(42,18),(42,30),(43,17),(43,31),(44,12),(44,45),(45,14),(45,42),(46,15),(46,43),(47,16),(47,46),(48,11),(48,41),(49,33),(49,38),(50,8),(50,48),(51,34),(51,37),(52,33),(52,55),(53,8),(53,37),(53,39),(54,38),(54,39),(54,55),(55,7),(55,35),(55,36),(56,49),(56,50),(56,53),(56,54),(57,51),(57,52),(57,53),(57,54)],58)
110110100100=>([(0,3),(0,4),(1,47),(1,49),(2,46),(2,48),(3,2),(3,54),(3,55),(4,1),(4,54),(4,55),(6,16),(7,17),(8,18),(9,19),(10,14),(11,15),(12,10),(13,11),(14,8),(15,9),(16,12),(17,13),(18,5),(19,5),(20,26),(20,27),(21,22),(21,23),(22,20),(22,40),(23,20),(23,41),(24,22),(24,42),(25,23),(25,43),(26,8),(26,28),(27,9),(27,28),(28,18),(28,19),(29,33),(29,38),(30,34),(30,39),(31,21),(31,24),(32,21),(32,25),(33,24),(33,44),(34,25),(34,45),(35,6),(35,38),(36,7),(36,39),(37,31),(37,32),(38,16),(38,44),(39,17),(39,45),(40,14),(40,26),(41,15),(41,27),(42,10),(42,40),(43,11),(43,41),(44,12),(44,42),(45,13),(45,43),(46,29),(46,35),(47,30),(47,36),(48,29),(48,52),(49,30),(49,53),(50,35),(50,37),(50,52),(51,36),(51,37),(51,53),(52,6),(52,31),(52,33),(53,7),(53,32),(53,34),(54,46),(54,47),(54,50),(54,51),(55,48),(55,49),(55,50),(55,51)],56)
110110101000=>([(0,4),(0,5),(1,21),(2,1),(2,34),(3,35),(3,37),(4,2),(4,52),(4,55),(5,3),(5,52),(5,55),(7,18),(8,15),(9,19),(10,20),(11,12),(12,16),(13,17),(14,13),(15,11),(16,9),(17,10),(18,14),(19,6),(20,6),(21,7),(22,31),(22,32),(23,39),(23,42),(24,25),(24,26),(25,27),(25,28),(26,27),(26,47),(27,22),(27,44),(28,22),(28,45),(29,26),(29,46),(30,28),(30,48),(31,10),(31,33),(32,9),(32,33),(33,19),(33,20),(34,21),(34,40),(35,23),(35,36),(36,8),(36,42),(37,23),(37,51),(38,25),(38,30),(39,30),(39,49),(40,7),(40,43),(41,24),(41,29),(42,15),(42,49),(43,18),(43,46),(44,17),(44,31),(45,16),(45,32),(46,14),(46,47),(47,13),(47,44),(48,12),(48,45),(49,11),(49,48),(50,40),(50,41),(50,54),(51,8),(51,38),(51,39),(52,35),(52,50),(52,53),(53,36),(53,41),(53,51),(53,54),(54,24),(54,29),(54,38),(54,43),(55,34),(55,37),(55,50),(55,53)],56)
110110110000=>([(0,5),(0,6),(1,3),(1,27),(2,19),(3,2),(3,45),(4,30),(4,46),(5,1),(5,44),(5,50),(6,4),(6,44),(6,50),(8,16),(9,13),(10,17),(11,18),(12,14),(13,15),(14,10),(15,11),(16,12),(17,7),(18,7),(19,8),(20,22),(20,23),(21,38),(21,39),(22,10),(22,24),(23,11),(23,24),(24,17),(24,18),(25,28),(25,31),(26,8),(26,40),(27,32),(27,45),(28,29),(28,48),(29,21),(29,47),(30,28),(30,49),(31,29),(31,34),(32,26),(32,33),(33,36),(33,40),(34,21),(34,35),(35,9),(35,39),(36,37),(36,43),(37,20),(37,41),(38,20),(38,42),(39,13),(39,42),(40,16),(40,43),(41,14),(41,22),(42,15),(42,23),(43,12),(43,41),(44,25),(44,30),(45,19),(45,26),(46,31),(46,32),(46,49),(47,9),(47,37),(47,38),(48,35),(48,36),(48,47),(49,33),(49,34),(49,48),(50,25),(50,27),(50,46)],51)
110111000010=>([(0,6),(0,7),(1,5),(1,38),(1,50),(2,4),(2,40),(2,57),(3,53),(3,55),(4,51),(4,54),(5,3),(5,52),(5,56),(6,2),(6,58),(6,59),(7,1),(7,58),(7,59),(9,23),(10,20),(11,24),(12,25),(13,17),(14,16),(15,19),(16,15),(17,18),(18,21),(19,22),(20,13),(21,11),(22,12),(23,14),(24,8),(25,8),(26,28),(26,45),(27,28),(27,30),(28,29),(28,46),(29,32),(29,33),(30,29),(30,47),(31,26),(31,27),(32,11),(32,34),(33,12),(33,34),(34,24),(34,25),(35,27),(35,36),(36,30),(36,43),(37,26),(37,42),(38,41),(38,52),(39,10),(39,44),(40,44),(40,51),(41,31),(41,35),(42,17),(42,45),(43,19),(43,47),(44,20),(44,49),(45,18),(45,46),(46,21),(46,32),(47,22),(47,33),(48,15),(48,43),(49,13),(49,42),(50,23),(50,56),(51,37),(51,49),(52,35),(52,53),(53,36),(53,48),(54,31),(54,37),(55,16),(55,48),(56,14),(56,55),(57,10),(57,41),(57,54),(58,9),(58,39),(58,40),(58,50),(59,9),(59,38),(59,39),(59,57)],60)
110111000100=>([(0,5),(0,6),(1,4),(1,55),(1,57),(2,3),(2,54),(2,56),(3,37),(3,41),(4,38),(4,42),(5,2),(5,58),(5,59),(6,1),(6,58),(6,59),(8,20),(9,21),(10,22),(11,23),(12,14),(13,15),(14,18),(15,19),(16,12),(17,13),(18,10),(19,11),(20,16),(21,17),(22,7),(23,7),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,48),(29,31),(29,49),(30,25),(30,46),(31,25),(31,47),(32,28),(32,50),(33,29),(33,51),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,32),(37,44),(38,33),(38,45),(39,8),(39,52),(40,9),(40,53),(41,26),(41,32),(42,27),(42,33),(43,26),(43,27),(44,16),(44,50),(45,17),(45,51),(46,18),(46,34),(47,19),(47,35),(48,14),(48,46),(49,15),(49,47),(50,12),(50,48),(51,13),(51,49),(52,20),(52,44),(53,21),(53,45),(54,37),(54,52),(55,38),(55,53),(56,8),(56,41),(56,43),(57,9),(57,42),(57,43),(58,39),(58,40),(58,54),(58,55),(59,39),(59,40),(59,56),(59,57)],60)
110111001000=>([(0,5),(0,6),(1,23),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,40),(4,44),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,20),(9,12),(10,21),(11,22),(12,14),(13,15),(14,13),(15,19),(16,18),(17,16),(18,10),(19,11),(20,17),(21,7),(22,7),(23,8),(24,30),(24,31),(25,34),(25,35),(26,24),(26,29),(27,24),(27,28),(28,30),(28,51),(29,31),(29,50),(30,25),(30,48),(31,25),(31,47),(32,29),(32,52),(33,28),(33,49),(34,10),(34,36),(35,11),(35,36),(36,21),(36,22),(37,8),(37,45),(38,32),(38,45),(39,26),(39,32),(40,33),(40,46),(41,37),(41,38),(42,9),(42,53),(43,26),(43,27),(44,27),(44,33),(45,20),(45,52),(46,14),(46,49),(47,18),(47,34),(48,19),(48,35),(49,13),(49,51),(50,16),(50,47),(51,15),(51,48),(52,17),(52,50),(53,12),(53,46),(54,40),(54,53),(55,38),(55,39),(56,9),(56,43),(56,44),(57,41),(57,42),(57,54),(57,55),(58,41),(58,42),(58,56),(58,59),(59,23),(59,37),(59,39),(59,43)],60)
110111010000=>([(0,6),(0,7),(1,3),(1,38),(2,22),(3,2),(3,51),(4,5),(4,52),(4,53),(5,36),(5,37),(6,1),(6,54),(6,57),(7,4),(7,54),(7,57),(9,19),(10,16),(11,20),(12,21),(13,14),(14,17),(15,18),(16,13),(17,11),(18,12),(19,15),(20,8),(21,8),(22,9),(23,32),(23,33),(24,25),(24,35),(25,31),(25,44),(26,27),(26,28),(27,23),(27,47),(28,23),(28,46),(29,30),(29,48),(30,28),(30,49),(31,27),(31,50),(32,11),(32,34),(33,12),(33,34),(34,20),(34,21),(35,9),(35,44),(36,29),(36,45),(37,29),(37,39),(38,24),(38,51),(39,26),(39,30),(40,25),(40,41),(41,26),(41,31),(42,10),(42,45),(43,24),(43,40),(44,19),(44,50),(45,16),(45,48),(46,17),(46,32),(47,18),(47,33),(48,13),(48,49),(49,14),(49,46),(50,15),(50,47),(51,22),(51,35),(52,37),(52,55),(53,36),(53,42),(54,43),(54,53),(54,56),(55,10),(55,39),(55,41),(56,40),(56,42),(56,55),(57,38),(57,43),(57,52),(57,56)],58)
110111100000=>([(0,8),(0,9),(1,4),(1,41),(2,24),(3,2),(3,50),(4,3),(4,49),(5,7),(5,37),(5,56),(6,51),(6,53),(7,6),(7,52),(7,54),(8,1),(8,38),(8,55),(9,5),(9,38),(9,55),(11,21),(12,18),(13,22),(14,23),(15,16),(16,17),(17,19),(18,15),(19,14),(20,13),(21,20),(22,10),(23,10),(24,11),(25,30),(25,31),(26,25),(26,45),(27,25),(27,46),(28,29),(28,35),(29,26),(29,42),(30,14),(30,33),(31,13),(31,33),(32,11),(32,42),(33,22),(33,23),(34,29),(34,32),(35,26),(35,27),(36,27),(36,43),(37,44),(37,52),(38,37),(38,40),(39,28),(39,34),(40,12),(40,44),(41,39),(41,49),(42,21),(42,45),(43,17),(43,46),(44,18),(44,48),(45,20),(45,31),(46,19),(46,30),(47,16),(47,43),(48,15),(48,47),(49,34),(49,50),(50,24),(50,32),(51,35),(51,36),(52,48),(52,53),(53,36),(53,47),(54,28),(54,51),(55,40),(55,41),(55,56),(56,12),(56,39),(56,54)],57)
111000101010=>([(0,5),(0,6),(1,2),(1,48),(2,8),(3,4),(3,49),(3,50),(4,32),(4,33),(5,1),(5,51),(5,55),(6,3),(6,51),(6,55),(8,19),(9,12),(10,20),(11,21),(12,15),(13,14),(14,17),(15,18),(16,13),(17,10),(18,11),(19,16),(20,7),(21,7),(22,29),(22,30),(23,26),(23,28),(24,23),(24,25),(25,26),(25,44),(26,22),(26,43),(27,25),(27,45),(28,22),(28,42),(29,11),(29,31),(30,10),(30,31),(31,20),(31,21),(32,24),(32,27),(33,27),(33,40),(34,24),(34,36),(35,28),(35,41),(36,23),(36,35),(37,9),(37,47),(38,37),(38,52),(39,38),(39,53),(40,16),(40,45),(41,15),(41,42),(42,18),(42,29),(43,17),(43,30),(44,14),(44,43),(45,13),(45,44),(46,19),(46,40),(47,12),(47,41),(48,8),(48,46),(49,33),(49,46),(50,32),(50,34),(51,39),(51,50),(51,54),(52,9),(52,35),(52,47),(53,36),(53,37),(53,52),(54,34),(54,38),(54,53),(55,39),(55,48),(55,49),(55,54)],56)
111000101100=>([(0,5),(0,6),(1,22),(2,4),(2,52),(2,54),(3,1),(3,53),(3,56),(4,40),(4,41),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,19),(9,12),(10,20),(11,21),(12,13),(13,14),(14,17),(15,18),(16,15),(17,10),(18,11),(19,16),(20,7),(21,7),(22,9),(23,31),(23,32),(24,34),(24,35),(25,23),(25,29),(26,23),(26,30),(27,30),(27,45),(28,25),(28,33),(29,31),(29,48),(30,32),(30,49),(31,24),(31,46),(32,24),(32,47),(33,29),(33,50),(34,11),(34,36),(35,10),(35,36),(36,20),(36,21),(37,25),(37,26),(38,33),(38,44),(39,8),(39,44),(40,27),(40,51),(41,26),(41,27),(42,28),(42,37),(43,28),(43,38),(44,19),(44,50),(45,13),(45,49),(46,18),(46,34),(47,17),(47,35),(48,15),(48,46),(49,14),(49,47),(50,16),(50,48),(51,12),(51,45),(52,37),(52,41),(53,38),(53,39),(54,40),(54,55),(55,8),(55,9),(55,51),(56,22),(56,39),(56,55),(57,42),(57,43),(57,54),(57,56),(58,42),(58,43),(58,52),(58,53)],59)
111000110010=>([(0,5),(0,6),(1,24),(2,4),(2,54),(2,57),(3,1),(3,51),(3,55),(4,39),(4,40),(5,2),(5,52),(5,53),(6,3),(6,52),(6,53),(8,20),(9,21),(10,22),(11,23),(12,13),(13,14),(14,16),(15,18),(16,19),(17,15),(18,10),(19,11),(20,17),(21,12),(22,7),(23,7),(24,8),(25,31),(25,32),(26,34),(26,35),(27,25),(27,33),(28,30),(28,42),(29,25),(29,30),(30,32),(30,47),(31,26),(31,45),(32,26),(32,44),(33,31),(33,46),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,27),(37,29),(38,27),(38,41),(39,28),(39,29),(40,28),(40,50),(41,33),(41,43),(42,17),(42,47),(43,14),(43,46),(44,18),(44,34),(45,19),(45,35),(46,16),(46,45),(47,15),(47,44),(48,12),(48,49),(49,13),(49,43),(50,20),(50,42),(51,37),(51,38),(52,9),(52,54),(52,55),(53,9),(53,51),(53,57),(54,40),(54,48),(54,56),(55,24),(55,38),(55,56),(56,8),(56,41),(56,49),(56,50),(57,21),(57,37),(57,39),(57,48)],58)
111000110100=>([(0,5),(0,6),(1,23),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,40),(4,44),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,20),(9,17),(10,21),(11,22),(12,14),(13,12),(14,19),(15,18),(16,15),(17,13),(18,10),(19,11),(20,16),(21,7),(22,7),(23,8),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,52),(29,31),(29,51),(30,25),(30,47),(31,25),(31,48),(32,28),(32,49),(33,29),(33,50),(34,11),(34,36),(35,10),(35,36),(36,21),(36,22),(37,32),(37,53),(38,26),(38,32),(39,26),(39,27),(40,27),(40,33),(41,37),(41,45),(42,9),(42,45),(43,8),(43,46),(44,33),(44,46),(45,17),(45,53),(46,20),(46,50),(47,19),(47,34),(48,18),(48,35),(49,12),(49,52),(50,16),(50,51),(51,15),(51,48),(52,14),(52,47),(53,13),(53,49),(54,39),(54,40),(55,38),(55,39),(56,9),(56,43),(56,44),(57,41),(57,42),(57,54),(57,55),(58,41),(58,42),(58,56),(58,59),(59,23),(59,37),(59,38),(59,43)],60)
111000111000=>([(0,5),(0,6),(1,4),(1,49),(1,51),(2,3),(2,48),(2,50),(3,38),(3,40),(4,39),(4,41),(5,2),(5,42),(5,43),(6,1),(6,42),(6,43),(8,14),(9,15),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,21),(19,46),(20,21),(20,47),(21,30),(21,31),(22,18),(22,28),(23,18),(23,29),(24,32),(24,34),(25,33),(25,34),(26,28),(26,32),(27,29),(27,33),(28,19),(28,44),(29,20),(29,45),(30,10),(30,35),(31,11),(31,35),(32,8),(32,44),(33,9),(33,45),(34,8),(34,9),(35,16),(35,17),(36,24),(36,25),(37,22),(37,23),(38,24),(38,26),(39,25),(39,27),(40,22),(40,26),(41,23),(41,27),(42,48),(42,49),(43,50),(43,51),(44,14),(44,46),(45,15),(45,47),(46,12),(46,30),(47,13),(47,31),(48,36),(48,38),(49,36),(49,39),(50,37),(50,40),(51,37),(51,41)],52)
111001001010=>([(0,4),(0,5),(1,22),(2,1),(2,33),(3,34),(3,48),(4,2),(4,51),(4,54),(5,3),(5,51),(5,54),(7,19),(8,11),(9,20),(10,21),(11,12),(12,13),(13,14),(14,17),(15,18),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,7),(23,29),(23,30),(24,25),(24,26),(25,23),(25,41),(26,23),(26,42),(27,25),(27,43),(28,26),(28,44),(29,10),(29,31),(30,9),(30,31),(31,20),(31,21),(32,8),(32,45),(33,22),(33,37),(34,49),(34,50),(35,24),(35,27),(36,24),(36,28),(37,7),(37,47),(38,35),(38,36),(39,13),(39,44),(40,16),(40,43),(41,18),(41,29),(42,17),(42,30),(43,15),(43,41),(44,14),(44,42),(45,11),(45,46),(46,12),(46,39),(47,19),(47,40),(48,37),(48,38),(48,50),(49,35),(49,46),(49,53),(50,36),(50,47),(50,53),(51,32),(51,34),(51,52),(52,8),(52,38),(52,45),(52,49),(53,27),(53,28),(53,39),(53,40),(54,32),(54,33),(54,48),(54,52)],55)
111001001100=>([(0,4),(0,5),(1,21),(2,52),(2,54),(3,1),(3,48),(3,53),(4,2),(4,50),(4,51),(5,3),(5,50),(5,51),(7,18),(8,11),(9,19),(10,20),(11,12),(12,13),(13,16),(14,17),(15,14),(16,9),(17,10),(18,15),(19,6),(20,6),(21,8),(22,24),(22,29),(23,31),(23,32),(24,27),(24,28),(25,22),(25,37),(26,22),(26,36),(27,23),(27,42),(28,23),(28,43),(29,28),(29,45),(30,27),(30,44),(31,10),(31,33),(32,9),(32,33),(33,19),(33,20),(34,38),(34,40),(35,7),(35,40),(36,29),(36,41),(37,24),(37,30),(38,30),(38,46),(39,25),(39,26),(40,18),(40,46),(41,12),(41,45),(42,17),(42,31),(43,16),(43,32),(44,14),(44,42),(45,13),(45,43),(46,15),(46,44),(47,11),(47,41),(48,34),(48,35),(49,7),(49,8),(49,47),(50,39),(50,53),(50,54),(51,39),(51,48),(51,52),(52,26),(52,34),(52,55),(53,21),(53,35),(53,49),(54,25),(54,49),(54,55),(55,36),(55,37),(55,38),(55,47)],56)
111001010010=>([(0,4),(0,5),(1,20),(2,1),(2,33),(3,36),(3,49),(4,2),(4,52),(4,54),(5,3),(5,52),(5,54),(7,17),(8,14),(9,18),(10,19),(11,13),(12,15),(13,16),(14,12),(15,9),(16,10),(17,11),(18,6),(19,6),(20,7),(21,27),(21,28),(22,29),(22,30),(23,26),(23,42),(24,21),(24,26),(25,21),(25,38),(26,27),(26,46),(27,22),(27,45),(28,22),(28,44),(29,10),(29,31),(30,9),(30,31),(31,18),(31,19),(32,34),(32,35),(33,20),(33,40),(34,23),(34,24),(35,24),(35,25),(36,37),(36,51),(37,25),(37,50),(38,28),(38,43),(39,8),(39,42),(40,7),(40,47),(41,23),(41,39),(42,14),(42,46),(43,13),(43,44),(44,16),(44,29),(45,15),(45,30),(46,12),(46,45),(47,17),(47,48),(48,11),(48,43),(49,40),(49,41),(49,51),(50,8),(50,38),(50,48),(51,39),(51,47),(51,50),(52,32),(52,36),(52,53),(53,34),(53,35),(53,37),(53,41),(54,32),(54,33),(54,49),(54,53)],55)
111001010100=>([(0,4),(0,5),(1,22),(2,1),(2,33),(3,34),(3,48),(4,2),(4,51),(4,54),(5,3),(5,51),(5,54),(7,19),(8,12),(9,20),(10,21),(11,13),(12,11),(13,14),(14,17),(15,18),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,7),(23,30),(23,31),(24,25),(24,26),(25,23),(25,43),(26,23),(26,44),(27,25),(27,45),(28,27),(28,47),(29,26),(29,46),(30,10),(30,32),(31,9),(31,32),(32,20),(32,21),(33,22),(33,40),(34,35),(34,37),(35,28),(35,38),(36,49),(36,50),(37,28),(37,41),(38,24),(38,27),(39,29),(39,42),(40,7),(40,41),(41,19),(41,47),(42,13),(42,46),(43,18),(43,30),(44,17),(44,31),(45,15),(45,43),(46,14),(46,44),(47,16),(47,45),(48,8),(48,37),(48,40),(49,38),(49,39),(49,53),(50,12),(50,39),(50,53),(51,34),(51,36),(51,52),(52,8),(52,35),(52,49),(52,50),(53,11),(53,24),(53,29),(53,42),(54,33),(54,36),(54,48),(54,52)],55)
111001011000=>([(0,5),(0,6),(1,23),(2,22),(3,2),(3,52),(3,54),(4,1),(4,53),(4,55),(5,3),(5,56),(5,57),(6,4),(6,56),(6,57),(8,18),(9,19),(10,20),(11,21),(12,16),(13,17),(14,12),(15,13),(16,10),(17,11),(18,14),(19,15),(20,7),(21,7),(22,8),(23,9),(24,31),(24,32),(25,35),(25,36),(26,24),(26,29),(27,24),(27,30),(28,26),(28,27),(29,31),(29,49),(30,32),(30,48),(31,25),(31,47),(32,25),(32,46),(33,29),(33,51),(34,30),(34,50),(35,10),(35,37),(36,11),(36,37),(37,20),(37,21),(38,26),(38,33),(39,27),(39,34),(40,28),(40,38),(41,28),(41,39),(42,33),(42,45),(43,34),(43,44),(44,18),(44,50),(45,19),(45,51),(46,16),(46,35),(47,17),(47,36),(48,12),(48,46),(49,13),(49,47),(50,14),(50,48),(51,15),(51,49),(52,38),(52,42),(53,39),(53,43),(54,22),(54,42),(54,58),(55,23),(55,43),(55,58),(56,40),(56,41),(56,52),(56,53),(57,40),(57,41),(57,54),(57,55),(58,8),(58,9),(58,44),(58,45)],59)
111001100010=>([(0,5),(0,6),(1,24),(2,4),(2,54),(2,57),(3,1),(3,51),(3,55),(4,39),(4,49),(5,2),(5,52),(5,53),(6,3),(6,52),(6,53),(8,20),(9,21),(10,22),(11,23),(12,14),(13,15),(14,13),(15,18),(16,19),(17,16),(18,10),(19,11),(20,17),(21,12),(22,7),(23,7),(24,8),(25,33),(25,34),(26,28),(26,29),(27,29),(27,43),(28,30),(28,31),(29,31),(29,47),(30,25),(30,45),(31,25),(31,44),(32,30),(32,46),(33,10),(33,35),(34,11),(34,35),(35,22),(35,23),(36,27),(36,50),(37,26),(37,27),(38,26),(38,40),(39,41),(39,42),(40,28),(40,32),(41,32),(41,48),(42,14),(42,48),(43,17),(43,47),(44,19),(44,34),(45,18),(45,33),(46,15),(46,45),(47,16),(47,44),(48,13),(48,46),(49,12),(49,42),(50,20),(50,43),(51,37),(51,38),(52,9),(52,54),(52,55),(53,9),(53,51),(53,57),(54,36),(54,39),(54,56),(55,24),(55,38),(55,56),(56,8),(56,40),(56,41),(56,50),(57,21),(57,36),(57,37),(57,49)],58)
111001100100=>([(0,4),(0,5),(1,22),(2,51),(2,53),(3,1),(3,46),(3,52),(4,2),(4,47),(4,48),(5,3),(5,47),(5,48),(7,18),(8,19),(9,20),(10,21),(11,14),(12,15),(13,11),(14,16),(15,17),(16,9),(17,10),(18,13),(19,12),(20,6),(21,6),(22,8),(23,24),(23,40),(24,29),(24,30),(25,27),(25,28),(26,24),(26,41),(27,23),(27,26),(28,23),(28,38),(29,10),(29,31),(30,9),(30,31),(31,20),(31,21),(32,25),(32,35),(33,25),(33,36),(34,26),(34,39),(35,28),(35,44),(36,27),(36,34),(37,7),(37,42),(38,15),(38,40),(39,14),(39,41),(40,17),(40,29),(41,16),(41,30),(42,18),(42,45),(43,11),(43,39),(44,12),(44,38),(45,13),(45,43),(46,32),(46,33),(47,37),(47,52),(47,53),(48,37),(48,46),(48,51),(49,35),(49,45),(49,54),(50,8),(50,36),(50,54),(51,32),(51,42),(51,49),(52,22),(52,33),(52,50),(53,7),(53,49),(53,50),(54,19),(54,34),(54,43),(54,44)],55)
111001101000=>([(0,5),(0,6),(1,22),(2,23),(3,1),(3,54),(3,58),(4,2),(4,55),(4,59),(5,3),(5,56),(5,57),(6,4),(6,56),(6,57),(8,19),(9,18),(10,20),(11,21),(12,16),(13,17),(14,12),(15,13),(16,10),(17,11),(18,14),(19,15),(20,7),(21,7),(22,8),(23,9),(24,31),(24,32),(25,35),(25,36),(26,24),(26,30),(27,24),(27,29),(28,33),(28,46),(29,31),(29,51),(30,32),(30,52),(31,25),(31,48),(32,25),(32,49),(33,30),(33,53),(34,29),(34,50),(35,10),(35,37),(36,11),(36,37),(37,20),(37,21),(38,26),(38,33),(39,8),(39,46),(40,9),(40,47),(41,34),(41,47),(42,26),(42,27),(43,27),(43,34),(44,28),(44,39),(45,28),(45,38),(46,19),(46,53),(47,18),(47,50),(48,16),(48,35),(49,17),(49,36),(50,14),(50,51),(51,12),(51,48),(52,13),(52,49),(53,15),(53,52),(54,41),(54,43),(55,42),(55,43),(56,44),(56,45),(56,58),(56,59),(57,44),(57,45),(57,54),(57,55),(58,22),(58,39),(58,40),(58,41),(59,23),(59,38),(59,40),(59,42)],60)
111001110000=>([(0,6),(0,7),(1,21),(2,1),(2,37),(3,5),(3,49),(3,51),(4,2),(4,50),(4,54),(5,35),(5,36),(6,3),(6,38),(6,39),(7,4),(7,38),(7,39),(9,18),(10,15),(11,19),(12,20),(13,16),(14,17),(15,13),(16,11),(17,12),(18,14),(19,8),(20,8),(21,9),(22,28),(22,29),(23,30),(23,31),(24,22),(24,27),(25,27),(25,43),(26,22),(26,40),(27,28),(27,47),(28,23),(28,46),(29,23),(29,45),(30,12),(30,32),(31,11),(31,32),(32,19),(32,20),(33,25),(33,41),(34,24),(34,25),(35,26),(35,53),(36,24),(36,26),(37,21),(37,42),(38,51),(38,54),(39,49),(39,50),(40,29),(40,44),(41,10),(41,43),(42,9),(42,48),(43,15),(43,47),(44,14),(44,45),(45,17),(45,30),(46,16),(46,31),(47,13),(47,46),(48,18),(48,44),(49,34),(49,36),(50,33),(50,34),(51,35),(51,52),(52,41),(52,42),(52,53),(53,10),(53,40),(53,48),(54,33),(54,37),(54,52)],55)
111010001010=>([(0,5),(0,6),(1,2),(1,50),(2,8),(3,4),(3,51),(3,52),(4,37),(4,38),(5,1),(5,53),(5,56),(6,3),(6,53),(6,56),(8,20),(9,17),(10,21),(11,22),(12,14),(13,15),(14,16),(15,19),(16,18),(17,13),(18,10),(19,11),(20,12),(21,7),(22,7),(23,29),(23,30),(24,33),(24,34),(25,23),(25,32),(26,23),(26,28),(27,31),(27,41),(28,30),(28,46),(29,24),(29,44),(30,24),(30,43),(31,28),(31,47),(32,29),(32,45),(33,10),(33,35),(34,11),(34,35),(35,21),(35,22),(36,25),(36,39),(37,26),(37,31),(38,25),(38,26),(39,32),(39,42),(40,9),(40,41),(41,17),(41,47),(42,14),(42,45),(43,19),(43,34),(44,18),(44,33),(45,16),(45,44),(46,15),(46,43),(47,13),(47,46),(48,12),(48,42),(49,20),(49,48),(50,8),(50,49),(51,36),(51,38),(52,27),(52,37),(53,52),(53,55),(53,57),(54,9),(54,39),(54,48),(55,40),(55,49),(55,54),(56,50),(56,51),(56,55),(56,57),(57,27),(57,36),(57,40),(57,54)],58)
111010001100=>([(0,5),(0,6),(1,23),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,40),(4,44),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,20),(9,12),(10,21),(11,22),(12,14),(13,15),(14,13),(15,19),(16,18),(17,16),(18,10),(19,11),(20,17),(21,7),(22,7),(23,8),(24,31),(24,32),(25,35),(25,36),(26,24),(26,29),(27,34),(27,45),(28,24),(28,30),(29,31),(29,51),(30,32),(30,50),(31,25),(31,48),(32,25),(32,47),(33,29),(33,49),(34,30),(34,52),(35,10),(35,37),(36,11),(36,37),(37,21),(37,22),(38,8),(38,45),(39,33),(39,46),(40,26),(40,33),(41,27),(41,38),(42,27),(42,43),(43,28),(43,34),(44,26),(44,28),(45,20),(45,52),(46,14),(46,49),(47,18),(47,35),(48,19),(48,36),(49,13),(49,51),(50,16),(50,47),(51,15),(51,48),(52,17),(52,50),(53,12),(53,46),(54,39),(54,40),(55,39),(55,53),(56,9),(56,43),(56,44),(57,41),(57,42),(57,54),(57,55),(58,41),(58,42),(58,56),(58,59),(59,9),(59,23),(59,38),(59,53)],60)
111010010010=>([(0,4),(0,5),(1,19),(2,1),(2,28),(3,26),(3,31),(4,2),(4,50),(4,51),(5,3),(5,50),(5,51),(7,16),(8,13),(9,17),(10,18),(11,14),(12,11),(13,15),(14,9),(15,10),(16,12),(17,6),(18,6),(19,7),(20,22),(20,23),(21,38),(21,40),(22,9),(22,25),(23,10),(23,25),(24,7),(24,41),(25,17),(25,18),(26,29),(26,32),(27,24),(27,33),(28,19),(28,24),(29,30),(29,48),(30,21),(30,47),(31,29),(31,49),(32,30),(32,34),(33,39),(33,41),(34,21),(34,35),(35,8),(35,40),(36,37),(36,45),(37,20),(37,42),(38,20),(38,43),(39,36),(39,44),(40,13),(40,43),(41,16),(41,44),(42,14),(42,22),(43,15),(43,23),(44,12),(44,45),(45,11),(45,42),(46,32),(46,33),(46,49),(47,8),(47,37),(47,38),(48,35),(48,36),(48,47),(49,34),(49,39),(49,48),(50,26),(50,27),(50,46),(51,27),(51,28),(51,31),(51,46)],52)
111010010100=>([(0,4),(0,5),(1,20),(2,1),(2,33),(3,34),(3,35),(4,2),(4,52),(4,54),(5,3),(5,52),(5,54),(7,17),(8,14),(9,18),(10,19),(11,13),(12,15),(13,16),(14,12),(15,9),(16,10),(17,11),(18,6),(19,6),(20,7),(21,28),(21,29),(22,30),(22,31),(23,24),(23,26),(24,21),(24,27),(25,27),(25,42),(26,21),(26,38),(27,28),(27,46),(28,22),(28,45),(29,22),(29,44),(30,10),(30,32),(31,9),(31,32),(32,18),(32,19),(33,20),(33,40),(34,23),(34,37),(35,23),(35,36),(36,24),(36,25),(37,26),(37,50),(38,29),(38,43),(39,8),(39,42),(40,7),(40,47),(41,25),(41,39),(42,14),(42,46),(43,13),(43,44),(44,16),(44,30),(45,15),(45,31),(46,12),(46,45),(47,17),(47,48),(48,11),(48,43),(49,40),(49,41),(49,51),(50,8),(50,38),(50,48),(51,39),(51,47),(51,50),(52,35),(52,49),(52,53),(53,36),(53,37),(53,41),(53,51),(54,33),(54,34),(54,49),(54,53)],55)
111010011000=>([(0,5),(0,6),(1,22),(2,23),(3,1),(3,54),(3,58),(4,2),(4,55),(4,59),(5,3),(5,56),(5,57),(6,4),(6,56),(6,57),(8,19),(9,18),(10,20),(11,21),(12,16),(13,17),(14,12),(15,13),(16,10),(17,11),(18,14),(19,15),(20,7),(21,7),(22,8),(23,9),(24,31),(24,32),(25,35),(25,36),(26,24),(26,30),(27,24),(27,29),(28,33),(28,46),(29,31),(29,51),(30,32),(30,52),(31,25),(31,48),(32,25),(32,49),(33,30),(33,53),(34,29),(34,50),(35,10),(35,37),(36,11),(36,37),(37,20),(37,21),(38,26),(38,33),(39,8),(39,46),(40,9),(40,47),(41,34),(41,47),(42,26),(42,27),(43,27),(43,34),(44,28),(44,39),(45,28),(45,38),(46,19),(46,53),(47,18),(47,50),(48,16),(48,35),(49,17),(49,36),(50,14),(50,51),(51,12),(51,48),(52,13),(52,49),(53,15),(53,52),(54,41),(54,43),(55,42),(55,43),(56,44),(56,45),(56,58),(56,59),(57,44),(57,45),(57,54),(57,55),(58,22),(58,39),(58,40),(58,41),(59,23),(59,38),(59,40),(59,42)],60)
111010100010=>([(0,5),(0,6),(1,2),(1,50),(2,9),(3,4),(3,51),(3,52),(4,35),(4,47),(5,1),(5,53),(5,56),(6,3),(6,53),(6,56),(8,21),(9,13),(10,22),(11,23),(12,15),(13,12),(14,16),(15,17),(16,19),(17,20),(18,14),(19,10),(20,11),(21,18),(22,7),(23,7),(24,31),(24,32),(25,27),(25,28),(26,27),(26,44),(27,24),(27,42),(28,24),(28,43),(29,26),(29,46),(30,28),(30,45),(31,10),(31,33),(32,11),(32,33),(33,22),(33,23),(34,29),(34,36),(35,29),(35,40),(36,25),(36,26),(37,30),(37,41),(38,25),(38,30),(39,37),(39,38),(40,18),(40,46),(41,15),(41,45),(42,19),(42,31),(43,20),(43,32),(44,16),(44,42),(45,17),(45,43),(46,14),(46,44),(47,21),(47,40),(48,12),(48,41),(49,13),(49,48),(50,9),(50,49),(51,34),(51,35),(52,8),(52,47),(53,52),(53,54),(53,57),(54,39),(54,49),(54,55),(55,36),(55,37),(55,38),(55,48),(56,50),(56,51),(56,54),(56,57),(57,8),(57,34),(57,39),(57,55)],58)
111010100100=>([(0,4),(0,5),(1,21),(2,1),(2,34),(3,35),(3,37),(4,2),(4,52),(4,55),(5,3),(5,52),(5,55),(7,18),(8,15),(9,19),(10,20),(11,12),(12,16),(13,17),(14,13),(15,11),(16,9),(17,10),(18,14),(19,6),(20,6),(21,7),(22,31),(22,32),(23,39),(23,42),(24,25),(24,26),(25,27),(25,28),(26,27),(26,47),(27,22),(27,44),(28,22),(28,45),(29,26),(29,46),(30,28),(30,48),(31,10),(31,33),(32,9),(32,33),(33,19),(33,20),(34,21),(34,40),(35,23),(35,36),(36,8),(36,42),(37,23),(37,51),(38,25),(38,30),(39,30),(39,49),(40,7),(40,43),(41,24),(41,29),(42,15),(42,49),(43,18),(43,46),(44,17),(44,31),(45,16),(45,32),(46,14),(46,47),(47,13),(47,44),(48,12),(48,45),(49,11),(49,48),(50,40),(50,41),(50,54),(51,8),(51,38),(51,39),(52,35),(52,50),(52,53),(53,36),(53,41),(53,51),(53,54),(54,24),(54,29),(54,38),(54,43),(55,34),(55,37),(55,50),(55,53)],56)
111010101000=>([(0,5),(0,6),(1,4),(1,44),(2,3),(2,43),(3,8),(4,9),(5,2),(5,42),(5,51),(6,1),(6,42),(6,51),(8,20),(9,21),(10,22),(11,23),(12,16),(13,17),(14,18),(15,19),(16,14),(17,15),(18,10),(19,11),(20,12),(21,13),(22,7),(23,7),(24,25),(24,26),(25,10),(25,27),(26,11),(26,27),(27,22),(27,23),(28,24),(28,34),(29,24),(29,35),(30,28),(30,29),(31,47),(31,48),(32,12),(32,38),(33,13),(33,39),(34,18),(34,25),(35,19),(35,26),(36,14),(36,34),(37,15),(37,35),(38,16),(38,36),(39,17),(39,37),(40,20),(40,32),(41,21),(41,33),(42,45),(42,46),(43,8),(43,40),(44,9),(44,41),(45,31),(45,40),(45,50),(46,31),(46,41),(46,50),(47,30),(47,38),(47,49),(48,30),(48,39),(48,49),(49,28),(49,29),(49,36),(49,37),(50,32),(50,33),(50,47),(50,48),(51,43),(51,44),(51,45),(51,46)],52)
111010110000=>([(0,6),(0,7),(1,3),(1,54),(2,23),(3,4),(3,40),(4,9),(5,2),(5,45),(5,56),(6,5),(6,55),(6,58),(7,1),(7,55),(7,58),(9,20),(10,17),(11,21),(12,22),(13,14),(14,18),(15,19),(16,15),(17,13),(18,11),(19,12),(20,16),(21,8),(22,8),(23,10),(24,25),(24,35),(25,33),(25,34),(26,37),(26,38),(27,25),(27,31),(28,24),(28,27),(29,24),(29,32),(30,32),(30,46),(31,34),(31,51),(32,35),(32,53),(33,26),(33,49),(34,26),(34,48),(35,33),(35,52),(36,31),(36,50),(37,12),(37,39),(38,11),(38,39),(39,21),(39,22),(40,9),(40,47),(41,27),(41,36),(42,10),(42,46),(43,36),(43,47),(44,29),(44,30),(45,28),(45,41),(46,17),(46,53),(47,20),(47,50),(48,19),(48,37),(49,18),(49,38),(50,16),(50,51),(51,15),(51,48),(52,14),(52,49),(53,13),(53,52),(54,40),(54,43),(55,44),(55,45),(55,57),(56,23),(56,41),(56,42),(56,43),(57,28),(57,29),(57,30),(57,42),(58,44),(58,54),(58,56),(58,57)],59)
111011000010=>([(0,6),(0,7),(1,25),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,5),(4,43),(4,53),(5,35),(5,46),(6,2),(6,57),(6,58),(7,3),(7,57),(7,58),(9,22),(10,14),(11,23),(12,24),(13,16),(14,13),(15,17),(16,15),(17,21),(18,20),(19,18),(20,11),(21,12),(22,19),(23,8),(24,8),(25,9),(26,32),(26,33),(27,36),(27,37),(28,26),(28,30),(29,26),(29,31),(30,32),(30,50),(31,33),(31,51),(32,27),(32,47),(33,27),(33,48),(34,30),(34,52),(35,31),(35,49),(36,11),(36,38),(37,12),(37,38),(38,23),(38,24),(39,9),(39,45),(40,34),(40,45),(41,28),(41,29),(42,28),(42,34),(43,29),(43,35),(44,39),(44,40),(45,22),(45,52),(46,16),(46,49),(47,20),(47,36),(48,21),(48,37),(49,15),(49,51),(50,18),(50,47),(51,17),(51,48),(52,19),(52,50),(53,13),(53,46),(54,41),(54,43),(55,40),(55,42),(56,14),(56,53),(57,10),(57,44),(57,55),(57,56),(58,10),(58,44),(58,54),(58,59),(59,25),(59,39),(59,41),(59,42)],60)
111011000100=>([(0,5),(0,6),(1,23),(2,4),(2,54),(2,56),(3,1),(3,55),(3,59),(4,40),(4,44),(5,2),(5,57),(5,58),(6,3),(6,57),(6,58),(8,20),(9,12),(10,21),(11,22),(12,14),(13,15),(14,13),(15,19),(16,18),(17,16),(18,10),(19,11),(20,17),(21,7),(22,7),(23,8),(24,30),(24,31),(25,34),(25,35),(26,24),(26,29),(27,24),(27,28),(28,30),(28,51),(29,31),(29,50),(30,25),(30,48),(31,25),(31,47),(32,29),(32,52),(33,28),(33,49),(34,10),(34,36),(35,11),(35,36),(36,21),(36,22),(37,8),(37,45),(38,32),(38,45),(39,26),(39,32),(40,33),(40,46),(41,37),(41,38),(42,9),(42,53),(43,26),(43,27),(44,27),(44,33),(45,20),(45,52),(46,14),(46,49),(47,18),(47,34),(48,19),(48,35),(49,13),(49,51),(50,16),(50,47),(51,15),(51,48),(52,17),(52,50),(53,12),(53,46),(54,40),(54,53),(55,38),(55,39),(56,9),(56,43),(56,44),(57,41),(57,42),(57,54),(57,55),(58,41),(58,42),(58,56),(58,59),(59,23),(59,37),(59,39),(59,43)],60)
111011001000=>([(0,5),(0,6),(1,23),(2,22),(3,2),(3,54),(3,58),(4,1),(4,55),(4,59),(5,3),(5,56),(5,57),(6,4),(6,56),(6,57),(8,18),(9,19),(10,20),(11,21),(12,16),(13,17),(14,12),(15,13),(16,10),(17,11),(18,14),(19,15),(20,7),(21,7),(22,8),(23,9),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,50),(29,31),(29,51),(30,25),(30,48),(31,25),(31,49),(32,28),(32,52),(33,29),(33,53),(34,10),(34,36),(35,11),(35,36),(36,20),(36,21),(37,8),(37,46),(38,9),(38,47),(39,26),(39,27),(40,32),(40,46),(41,33),(41,47),(42,26),(42,32),(43,27),(43,33),(44,37),(44,40),(45,38),(45,41),(46,18),(46,52),(47,19),(47,53),(48,16),(48,34),(49,17),(49,35),(50,12),(50,48),(51,13),(51,49),(52,14),(52,50),(53,15),(53,51),(54,40),(54,42),(55,41),(55,43),(56,44),(56,45),(56,58),(56,59),(57,44),(57,45),(57,54),(57,55),(58,22),(58,37),(58,39),(58,42),(59,23),(59,38),(59,39),(59,43)],60)
111011010000=>([(0,6),(0,7),(1,3),(1,52),(2,23),(3,4),(3,37),(4,9),(5,2),(5,38),(5,54),(6,5),(6,55),(6,57),(7,1),(7,55),(7,57),(9,20),(10,13),(11,21),(12,22),(13,14),(14,15),(15,18),(16,19),(17,16),(18,11),(19,12),(20,17),(21,8),(22,8),(23,10),(24,32),(24,33),(25,27),(25,28),(26,30),(26,45),(27,24),(27,46),(28,24),(28,47),(29,28),(29,49),(30,27),(30,48),(31,29),(31,50),(32,11),(32,34),(33,12),(33,34),(34,21),(34,22),(35,36),(35,42),(36,31),(36,44),(37,9),(37,44),(38,41),(38,43),(39,25),(39,30),(40,25),(40,29),(41,26),(41,51),(42,31),(42,40),(43,26),(43,39),(44,20),(44,50),(45,14),(45,48),(46,18),(46,32),(47,19),(47,33),(48,15),(48,46),(49,16),(49,47),(50,17),(50,49),(51,13),(51,45),(52,36),(52,37),(53,41),(53,42),(53,56),(54,23),(54,43),(54,56),(55,35),(55,38),(55,53),(56,10),(56,39),(56,40),(56,51),(57,35),(57,52),(57,53),(57,54)],58)
111011100000=>([(0,7),(0,8),(1,4),(1,43),(2,22),(3,2),(3,52),(4,3),(4,51),(5,6),(5,50),(5,55),(6,37),(6,53),(7,1),(7,39),(7,54),(8,5),(8,39),(8,54),(10,19),(11,16),(12,20),(13,21),(14,15),(15,17),(16,14),(17,13),(18,12),(19,18),(20,9),(21,9),(22,10),(23,30),(23,31),(24,27),(24,44),(25,26),(25,27),(26,23),(26,47),(27,23),(27,46),(28,29),(28,48),(29,26),(29,49),(30,12),(30,33),(31,13),(31,33),(32,10),(32,44),(33,20),(33,21),(34,38),(34,40),(35,11),(35,45),(36,28),(36,45),(37,28),(37,41),(38,24),(38,32),(39,42),(39,50),(40,24),(40,25),(41,25),(41,29),(42,35),(42,36),(43,34),(43,51),(44,19),(44,46),(45,16),(45,48),(46,18),(46,30),(47,17),(47,31),(48,14),(48,49),(49,15),(49,47),(50,36),(50,37),(51,38),(51,52),(52,22),(52,32),(53,11),(53,40),(53,41),(54,42),(54,43),(54,55),(55,34),(55,35),(55,53)],56)
111100001010=>([(0,7),(0,8),(1,3),(1,38),(2,24),(3,2),(3,51),(4,6),(4,39),(4,41),(5,54),(5,55),(6,5),(6,52),(6,53),(7,1),(7,56),(7,58),(8,4),(8,56),(8,58),(10,21),(11,14),(12,22),(13,23),(14,16),(15,17),(16,15),(17,19),(18,20),(19,12),(20,13),(21,18),(22,9),(23,9),(24,10),(25,29),(25,30),(26,32),(26,33),(27,25),(27,45),(28,25),(28,46),(29,12),(29,31),(30,13),(30,31),(31,22),(31,23),(32,10),(32,43),(33,35),(33,43),(34,27),(34,48),(35,28),(35,49),(36,34),(36,47),(37,27),(37,28),(38,26),(38,51),(39,26),(39,53),(40,36),(40,44),(41,40),(41,52),(42,11),(42,50),(43,21),(43,49),(44,16),(44,47),(45,19),(45,29),(46,20),(46,30),(47,15),(47,48),(48,17),(48,45),(49,18),(49,46),(50,14),(50,44),(51,24),(51,32),(52,36),(52,54),(53,33),(53,55),(54,34),(54,37),(55,35),(55,37),(56,41),(56,42),(56,57),(57,11),(57,40),(57,50),(58,38),(58,39),(58,42),(58,57)],59)
111100001100=>([(0,7),(0,8),(1,23),(2,1),(2,40),(3,5),(3,52),(3,54),(4,2),(4,53),(4,56),(5,6),(5,38),(5,39),(6,26),(6,27),(7,3),(7,41),(7,42),(8,4),(8,41),(8,42),(10,20),(11,17),(12,21),(13,22),(14,15),(15,18),(16,19),(17,14),(18,12),(19,13),(20,16),(21,9),(22,9),(23,10),(24,29),(24,30),(25,33),(25,34),(26,24),(26,28),(27,24),(27,32),(28,29),(28,49),(29,25),(29,47),(30,25),(30,48),(31,28),(31,51),(32,30),(32,50),(33,12),(33,35),(34,13),(34,35),(35,21),(35,22),(36,11),(36,45),(37,31),(37,45),(38,27),(38,43),(39,26),(39,31),(40,23),(40,44),(41,54),(41,56),(42,52),(42,53),(43,32),(43,46),(44,10),(44,46),(45,17),(45,51),(46,20),(46,50),(47,18),(47,33),(48,19),(48,34),(49,15),(49,47),(50,16),(50,48),(51,14),(51,49),(52,37),(52,39),(53,36),(53,37),(54,38),(54,55),(55,11),(55,43),(55,44),(56,36),(56,40),(56,55)],57)
111100010010=>([(0,6),(0,7),(1,3),(1,43),(2,22),(3,2),(3,52),(4,5),(4,55),(4,56),(5,35),(5,40),(6,1),(6,36),(6,54),(7,4),(7,36),(7,54),(9,19),(10,16),(11,20),(12,21),(13,14),(14,17),(15,18),(16,13),(17,11),(18,12),(19,15),(20,8),(21,8),(22,9),(23,31),(23,32),(24,26),(24,27),(25,27),(25,45),(26,28),(26,29),(27,29),(27,51),(28,23),(28,48),(29,23),(29,47),(30,28),(30,49),(31,11),(31,33),(32,12),(32,33),(33,20),(33,21),(34,9),(34,45),(35,24),(35,41),(36,44),(36,55),(37,25),(37,34),(38,42),(38,46),(39,10),(39,46),(40,24),(40,25),(41,26),(41,30),(42,30),(42,50),(43,37),(43,52),(44,38),(44,53),(45,19),(45,51),(46,16),(46,50),(47,18),(47,32),(48,17),(48,31),(49,14),(49,48),(50,13),(50,49),(51,15),(51,47),(52,22),(52,34),(53,10),(53,41),(53,42),(54,43),(54,44),(54,56),(55,35),(55,39),(55,53),(56,37),(56,38),(56,39),(56,40)],57)
111100010100=>([(0,6),(0,7),(1,3),(1,43),(2,23),(3,2),(3,53),(4,5),(4,54),(4,56),(5,41),(5,42),(6,1),(6,55),(6,57),(7,4),(7,55),(7,57),(9,20),(10,17),(11,21),(12,22),(13,15),(14,13),(15,18),(16,19),(17,14),(18,11),(19,12),(20,16),(21,8),(22,8),(23,9),(24,31),(24,32),(25,35),(25,36),(26,24),(26,29),(27,30),(27,45),(28,24),(28,30),(29,31),(29,51),(30,32),(30,52),(31,25),(31,47),(32,25),(32,48),(33,29),(33,49),(34,33),(34,50),(35,11),(35,37),(36,12),(36,37),(37,21),(37,22),(38,9),(38,45),(39,27),(39,38),(40,26),(40,33),(41,27),(41,28),(42,26),(42,28),(43,39),(43,53),(44,34),(44,46),(45,20),(45,52),(46,17),(46,50),(47,18),(47,35),(48,19),(48,36),(49,13),(49,51),(50,14),(50,49),(51,15),(51,47),(52,16),(52,48),(53,23),(53,38),(54,40),(54,42),(55,44),(55,54),(55,58),(56,10),(56,39),(56,41),(57,43),(57,44),(57,56),(57,58),(58,10),(58,34),(58,40),(58,46)],59)
111100011000=>([(0,6),(0,7),(1,21),(2,1),(2,37),(3,5),(3,49),(3,51),(4,2),(4,50),(4,54),(5,35),(5,36),(6,3),(6,38),(6,39),(7,4),(7,38),(7,39),(9,18),(10,15),(11,19),(12,20),(13,16),(14,17),(15,13),(16,11),(17,12),(18,14),(19,8),(20,8),(21,9),(22,28),(22,29),(23,30),(23,31),(24,22),(24,27),(25,27),(25,43),(26,22),(26,40),(27,28),(27,47),(28,23),(28,46),(29,23),(29,45),(30,12),(30,32),(31,11),(31,32),(32,19),(32,20),(33,25),(33,41),(34,24),(34,25),(35,26),(35,53),(36,24),(36,26),(37,21),(37,42),(38,51),(38,54),(39,49),(39,50),(40,29),(40,44),(41,10),(41,43),(42,9),(42,48),(43,15),(43,47),(44,14),(44,45),(45,17),(45,30),(46,16),(46,31),(47,13),(47,46),(48,18),(48,44),(49,34),(49,36),(50,33),(50,34),(51,35),(51,52),(52,41),(52,42),(52,53),(53,10),(53,40),(53,48),(54,33),(54,37),(54,52)],55)
111100100010=>([(0,6),(0,7),(1,3),(1,43),(2,22),(3,2),(3,52),(4,5),(4,55),(4,56),(5,35),(5,40),(6,1),(6,36),(6,54),(7,4),(7,36),(7,54),(9,19),(10,16),(11,20),(12,21),(13,14),(14,17),(15,18),(16,13),(17,11),(18,12),(19,15),(20,8),(21,8),(22,9),(23,31),(23,32),(24,30),(24,45),(25,26),(25,27),(26,23),(26,47),(27,23),(27,48),(28,29),(28,49),(29,26),(29,50),(30,27),(30,51),(31,11),(31,33),(32,12),(32,33),(33,20),(33,21),(34,9),(34,45),(35,10),(35,46),(36,44),(36,55),(37,24),(37,34),(38,28),(38,41),(39,24),(39,42),(40,28),(40,46),(41,25),(41,29),(42,25),(42,30),(43,37),(43,52),(44,38),(44,53),(45,19),(45,51),(46,16),(46,49),(47,17),(47,31),(48,18),(48,32),(49,13),(49,50),(50,14),(50,47),(51,15),(51,48),(52,22),(52,34),(53,10),(53,41),(53,42),(54,43),(54,44),(54,56),(55,35),(55,39),(55,53),(56,37),(56,38),(56,39),(56,40)],57)
111100100100=>([(0,5),(0,6),(1,3),(1,27),(2,19),(3,2),(3,45),(4,30),(4,46),(5,1),(5,44),(5,50),(6,4),(6,44),(6,50),(8,16),(9,13),(10,17),(11,18),(12,14),(13,15),(14,10),(15,11),(16,12),(17,7),(18,7),(19,8),(20,22),(20,23),(21,38),(21,39),(22,10),(22,24),(23,11),(23,24),(24,17),(24,18),(25,28),(25,31),(26,8),(26,40),(27,32),(27,45),(28,29),(28,48),(29,21),(29,47),(30,28),(30,49),(31,29),(31,34),(32,26),(32,33),(33,36),(33,40),(34,21),(34,35),(35,9),(35,39),(36,37),(36,43),(37,20),(37,41),(38,20),(38,42),(39,13),(39,42),(40,16),(40,43),(41,14),(41,22),(42,15),(42,23),(43,12),(43,41),(44,25),(44,30),(45,19),(45,26),(46,31),(46,32),(46,49),(47,9),(47,37),(47,38),(48,35),(48,36),(48,47),(49,33),(49,34),(49,48),(50,25),(50,27),(50,46)],51)
111100101000=>([(0,6),(0,7),(1,3),(1,54),(2,23),(3,4),(3,40),(4,9),(5,2),(5,45),(5,56),(6,5),(6,55),(6,58),(7,1),(7,55),(7,58),(9,20),(10,17),(11,21),(12,22),(13,14),(14,18),(15,19),(16,15),(17,13),(18,11),(19,12),(20,16),(21,8),(22,8),(23,10),(24,25),(24,35),(25,33),(25,34),(26,37),(26,38),(27,25),(27,31),(28,24),(28,27),(29,24),(29,32),(30,32),(30,46),(31,34),(31,51),(32,35),(32,53),(33,26),(33,49),(34,26),(34,48),(35,33),(35,52),(36,31),(36,50),(37,12),(37,39),(38,11),(38,39),(39,21),(39,22),(40,9),(40,47),(41,27),(41,36),(42,10),(42,46),(43,36),(43,47),(44,29),(44,30),(45,28),(45,41),(46,17),(46,53),(47,20),(47,50),(48,19),(48,37),(49,18),(49,38),(50,16),(50,51),(51,15),(51,48),(52,14),(52,49),(53,13),(53,52),(54,40),(54,43),(55,44),(55,45),(55,57),(56,23),(56,41),(56,42),(56,43),(57,28),(57,29),(57,30),(57,42),(58,44),(58,54),(58,56),(58,57)],59)
111100110000=>([(0,7),(0,8),(1,4),(1,53),(2,3),(2,52),(3,10),(4,11),(5,2),(5,50),(5,54),(6,1),(6,51),(6,55),(7,5),(7,36),(7,39),(8,6),(8,36),(8,39),(10,20),(11,21),(12,22),(13,23),(14,18),(15,19),(16,14),(17,15),(18,12),(19,13),(20,16),(21,17),(22,9),(23,9),(24,28),(24,29),(25,32),(25,33),(26,24),(26,31),(27,24),(27,30),(28,25),(28,44),(29,25),(29,45),(30,28),(30,46),(31,29),(31,47),(32,12),(32,34),(33,13),(33,34),(34,22),(34,23),(35,26),(35,27),(36,50),(36,51),(37,30),(37,42),(38,31),(38,43),(39,54),(39,55),(40,26),(40,38),(41,27),(41,37),(42,16),(42,46),(43,17),(43,47),(44,18),(44,32),(45,19),(45,33),(46,14),(46,44),(47,15),(47,45),(48,20),(48,42),(49,21),(49,43),(50,35),(50,40),(51,35),(51,41),(52,10),(52,48),(53,11),(53,49),(54,40),(54,52),(54,56),(55,41),(55,53),(55,56),(56,37),(56,38),(56,48),(56,49)],57)
111101000010=>([(0,7),(0,8),(1,3),(1,39),(2,24),(3,2),(3,51),(4,6),(4,40),(4,43),(5,53),(5,54),(6,5),(6,52),(6,55),(7,1),(7,56),(7,58),(8,4),(8,56),(8,58),(10,21),(11,15),(12,22),(13,23),(14,17),(15,16),(16,14),(17,20),(18,19),(19,12),(20,13),(21,18),(22,9),(23,9),(24,10),(25,31),(25,32),(26,33),(26,34),(27,28),(27,36),(28,30),(28,45),(29,25),(29,30),(30,31),(30,49),(31,26),(31,48),(32,26),(32,47),(33,13),(33,35),(34,12),(34,35),(35,22),(35,23),(36,10),(36,45),(37,32),(37,46),(38,25),(38,37),(39,27),(39,51),(40,41),(40,52),(41,29),(41,38),(42,28),(42,29),(43,11),(43,55),(44,27),(44,42),(45,21),(45,49),(46,17),(46,47),(47,20),(47,33),(48,19),(48,34),(49,18),(49,48),(50,14),(50,46),(51,24),(51,36),(52,38),(52,53),(53,37),(53,50),(54,16),(54,50),(55,15),(55,54),(56,43),(56,44),(56,57),(57,11),(57,41),(57,42),(58,39),(58,40),(58,44),(58,57)],59)
111101000100=>([(0,6),(0,7),(1,3),(1,38),(2,22),(3,2),(3,51),(4,5),(4,52),(4,53),(5,36),(5,37),(6,1),(6,54),(6,57),(7,4),(7,54),(7,57),(9,19),(10,16),(11,20),(12,21),(13,14),(14,17),(15,18),(16,13),(17,11),(18,12),(19,15),(20,8),(21,8),(22,9),(23,32),(23,33),(24,25),(24,35),(25,31),(25,44),(26,27),(26,28),(27,23),(27,47),(28,23),(28,46),(29,30),(29,48),(30,28),(30,49),(31,27),(31,50),(32,11),(32,34),(33,12),(33,34),(34,20),(34,21),(35,9),(35,44),(36,29),(36,45),(37,29),(37,39),(38,24),(38,51),(39,26),(39,30),(40,25),(40,41),(41,26),(41,31),(42,10),(42,45),(43,24),(43,40),(44,19),(44,50),(45,16),(45,48),(46,17),(46,32),(47,18),(47,33),(48,13),(48,49),(49,14),(49,46),(50,15),(50,47),(51,22),(51,35),(52,37),(52,55),(53,36),(53,42),(54,43),(54,53),(54,56),(55,10),(55,39),(55,41),(56,40),(56,42),(56,55),(57,38),(57,43),(57,52),(57,56)],58)
111101001000=>([(0,6),(0,7),(1,3),(1,52),(2,23),(3,4),(3,37),(4,9),(5,2),(5,38),(5,54),(6,5),(6,55),(6,57),(7,1),(7,55),(7,57),(9,20),(10,13),(11,21),(12,22),(13,14),(14,15),(15,18),(16,19),(17,16),(18,11),(19,12),(20,17),(21,8),(22,8),(23,10),(24,32),(24,33),(25,27),(25,28),(26,30),(26,45),(27,24),(27,46),(28,24),(28,47),(29,28),(29,49),(30,27),(30,48),(31,29),(31,50),(32,11),(32,34),(33,12),(33,34),(34,21),(34,22),(35,36),(35,42),(36,31),(36,44),(37,9),(37,44),(38,41),(38,43),(39,25),(39,30),(40,25),(40,29),(41,26),(41,51),(42,31),(42,40),(43,26),(43,39),(44,20),(44,50),(45,14),(45,48),(46,18),(46,32),(47,19),(47,33),(48,15),(48,46),(49,16),(49,47),(50,17),(50,49),(51,13),(51,45),(52,36),(52,37),(53,41),(53,42),(53,56),(54,23),(54,43),(54,56),(55,35),(55,38),(55,53),(56,10),(56,39),(56,40),(56,51),(57,35),(57,52),(57,53),(57,54)],58)
111101010000=>([(0,7),(0,8),(1,6),(1,36),(2,5),(2,35),(3,22),(4,23),(5,3),(5,51),(6,4),(6,52),(7,2),(7,50),(7,56),(8,1),(8,50),(8,56),(10,18),(11,19),(12,20),(13,21),(14,16),(15,17),(16,12),(17,13),(18,14),(19,15),(20,9),(21,9),(22,10),(23,11),(24,30),(24,31),(25,26),(25,27),(26,24),(26,46),(27,24),(27,47),(28,26),(28,48),(29,27),(29,49),(30,12),(30,32),(31,13),(31,32),(32,20),(32,21),(33,10),(33,44),(34,11),(34,45),(35,41),(35,51),(36,42),(36,52),(37,25),(37,28),(38,25),(38,29),(39,28),(39,44),(40,29),(40,45),(41,33),(41,39),(42,34),(42,40),(43,37),(43,38),(44,18),(44,48),(45,19),(45,49),(46,16),(46,30),(47,17),(47,31),(48,14),(48,46),(49,15),(49,47),(50,53),(50,54),(51,22),(51,33),(52,23),(52,34),(53,41),(53,43),(53,55),(54,42),(54,43),(54,55),(55,37),(55,38),(55,39),(55,40),(56,35),(56,36),(56,53),(56,54)],57)
111101100000=>([(0,8),(0,9),(1,4),(1,44),(2,6),(2,46),(3,22),(4,23),(5,3),(5,54),(6,5),(6,53),(7,1),(7,40),(7,56),(8,2),(8,52),(8,55),(9,7),(9,52),(9,55),(11,19),(12,18),(13,20),(14,21),(15,16),(16,13),(17,14),(18,17),(19,15),(20,10),(21,10),(22,12),(23,11),(24,31),(24,33),(25,32),(25,47),(26,34),(26,35),(27,31),(27,48),(28,24),(28,32),(29,24),(29,27),(30,25),(30,28),(31,26),(31,50),(32,33),(32,51),(33,26),(33,49),(34,13),(34,38),(35,14),(35,38),(36,12),(36,48),(37,11),(37,47),(38,20),(38,21),(39,27),(39,36),(40,30),(40,42),(41,29),(41,39),(42,28),(42,29),(43,25),(43,37),(44,23),(44,37),(45,30),(45,43),(46,41),(46,53),(47,19),(47,51),(48,18),(48,50),(49,16),(49,34),(50,17),(50,35),(51,15),(51,49),(52,40),(52,45),(53,39),(53,54),(54,22),(54,36),(55,45),(55,46),(55,56),(56,41),(56,42),(56,43),(56,44)],57)
111110000010=>([(0,9),(0,10),(1,4),(1,40),(2,26),(3,2),(3,48),(4,3),(4,47),(5,8),(5,41),(5,46),(6,50),(6,54),(7,6),(7,51),(7,53),(8,7),(8,49),(8,52),(9,1),(9,39),(9,55),(10,5),(10,39),(10,55),(12,23),(13,18),(14,24),(15,25),(16,17),(17,21),(18,19),(19,20),(20,16),(21,15),(22,14),(23,22),(24,11),(25,11),(26,12),(27,31),(27,32),(28,27),(28,44),(29,35),(29,36),(30,28),(30,42),(31,15),(31,34),(32,14),(32,34),(33,12),(33,42),(34,24),(34,25),(35,30),(35,33),(36,30),(36,37),(37,28),(37,38),(38,27),(38,43),(39,13),(39,46),(40,29),(40,47),(41,29),(41,49),(42,23),(42,44),(43,21),(43,31),(44,22),(44,32),(45,17),(45,43),(46,18),(46,52),(47,35),(47,48),(48,26),(48,33),(49,36),(49,51),(50,38),(50,45),(51,37),(51,50),(52,19),(52,53),(53,20),(53,54),(54,16),(54,45),(55,13),(55,40),(55,41)],56)
111110000100=>([(0,8),(0,9),(1,4),(1,41),(2,24),(3,2),(3,50),(4,3),(4,49),(5,7),(5,37),(5,56),(6,51),(6,53),(7,6),(7,52),(7,54),(8,1),(8,38),(8,55),(9,5),(9,38),(9,55),(11,21),(12,18),(13,22),(14,23),(15,16),(16,17),(17,19),(18,15),(19,14),(20,13),(21,20),(22,10),(23,10),(24,11),(25,30),(25,31),(26,25),(26,45),(27,25),(27,46),(28,29),(28,35),(29,26),(29,42),(30,14),(30,33),(31,13),(31,33),(32,11),(32,42),(33,22),(33,23),(34,29),(34,32),(35,26),(35,27),(36,27),(36,43),(37,44),(37,52),(38,37),(38,40),(39,28),(39,34),(40,12),(40,44),(41,39),(41,49),(42,21),(42,45),(43,17),(43,46),(44,18),(44,48),(45,20),(45,31),(46,19),(46,30),(47,16),(47,43),(48,15),(48,47),(49,34),(49,50),(50,24),(50,32),(51,35),(51,36),(52,48),(52,53),(53,36),(53,47),(54,28),(54,51),(55,40),(55,41),(55,56),(56,12),(56,39),(56,54)],57)
111110001000=>([(0,7),(0,8),(1,4),(1,43),(2,22),(3,2),(3,52),(4,3),(4,51),(5,6),(5,50),(5,55),(6,37),(6,53),(7,1),(7,39),(7,54),(8,5),(8,39),(8,54),(10,19),(11,16),(12,20),(13,21),(14,15),(15,17),(16,14),(17,13),(18,12),(19,18),(20,9),(21,9),(22,10),(23,30),(23,31),(24,27),(24,44),(25,26),(25,27),(26,23),(26,47),(27,23),(27,46),(28,29),(28,48),(29,26),(29,49),(30,12),(30,33),(31,13),(31,33),(32,10),(32,44),(33,20),(33,21),(34,38),(34,40),(35,11),(35,45),(36,28),(36,45),(37,28),(37,41),(38,24),(38,32),(39,42),(39,50),(40,24),(40,25),(41,25),(41,29),(42,35),(42,36),(43,34),(43,51),(44,19),(44,46),(45,16),(45,48),(46,18),(46,30),(47,17),(47,31),(48,14),(48,49),(49,15),(49,47),(50,36),(50,37),(51,38),(51,52),(52,22),(52,32),(53,11),(53,40),(53,41),(54,42),(54,43),(54,55),(55,34),(55,35),(55,53)],56)
111110010000=>([(0,8),(0,9),(1,4),(1,44),(2,6),(2,46),(3,22),(4,23),(5,3),(5,54),(6,5),(6,53),(7,1),(7,40),(7,56),(8,2),(8,52),(8,55),(9,7),(9,52),(9,55),(11,19),(12,18),(13,20),(14,21),(15,16),(16,13),(17,14),(18,17),(19,15),(20,10),(21,10),(22,12),(23,11),(24,31),(24,33),(25,32),(25,47),(26,34),(26,35),(27,31),(27,48),(28,24),(28,32),(29,24),(29,27),(30,25),(30,28),(31,26),(31,50),(32,33),(32,51),(33,26),(33,49),(34,13),(34,38),(35,14),(35,38),(36,12),(36,48),(37,11),(37,47),(38,20),(38,21),(39,27),(39,36),(40,30),(40,42),(41,29),(41,39),(42,28),(42,29),(43,25),(43,37),(44,23),(44,37),(45,30),(45,43),(46,41),(46,53),(47,19),(47,51),(48,18),(48,50),(49,16),(49,34),(50,17),(50,35),(51,15),(51,49),(52,40),(52,45),(53,39),(53,54),(54,22),(54,36),(55,45),(55,46),(55,56),(56,41),(56,42),(56,43),(56,44)],57)
111110100000=>([(0,9),(0,10),(1,8),(1,45),(2,7),(2,44),(3,22),(4,23),(5,3),(5,53),(6,4),(6,54),(7,5),(7,51),(8,6),(8,52),(9,2),(9,50),(9,55),(10,1),(10,50),(10,55),(12,18),(13,19),(14,20),(15,21),(16,14),(17,15),(18,16),(19,17),(20,11),(21,11),(22,12),(23,13),(24,27),(24,28),(25,24),(25,33),(26,24),(26,34),(27,29),(27,48),(28,29),(28,49),(29,35),(29,36),(30,25),(30,40),(31,26),(31,41),(32,25),(32,26),(33,27),(33,46),(34,28),(34,47),(35,14),(35,39),(36,15),(36,39),(37,12),(37,46),(38,13),(38,47),(39,20),(39,21),(40,33),(40,37),(41,34),(41,38),(42,30),(42,32),(43,31),(43,32),(44,30),(44,51),(45,31),(45,52),(46,18),(46,48),(47,19),(47,49),(48,16),(48,35),(49,17),(49,36),(50,42),(50,43),(51,40),(51,53),(52,41),(52,54),(53,22),(53,37),(54,23),(54,38),(55,42),(55,43),(55,44),(55,45)],56)
111111000000=>([(0,11),(0,12),(1,10),(1,39),(2,9),(2,38),(3,22),(4,23),(5,7),(5,45),(6,8),(6,46),(7,3),(7,47),(8,4),(8,48),(9,5),(9,43),(10,6),(10,44),(11,2),(11,40),(12,1),(12,40),(14,18),(15,19),(16,20),(17,21),(18,16),(19,17),(20,13),(21,13),(22,14),(23,15),(24,28),(24,29),(25,28),(25,30),(26,24),(26,25),(27,34),(27,35),(28,41),(28,42),(29,18),(29,41),(30,19),(30,42),(31,14),(31,29),(32,15),(32,30),(33,20),(33,21),(34,26),(34,36),(35,26),(35,37),(36,24),(36,31),(37,25),(37,32),(38,27),(38,43),(39,27),(39,44),(40,38),(40,39),(41,16),(41,33),(42,17),(42,33),(43,34),(43,45),(44,35),(44,46),(45,36),(45,47),(46,37),(46,48),(47,22),(47,31),(48,23),(48,32)],49)
111111111111=>([(0,12),(2,3),(3,5),(4,2),(5,7),(6,4),(7,9),(8,6),(9,11),(10,8),(11,1),(12,10)],13)
111111111001=>([(0,10),(0,11),(1,8),(1,27),(2,24),(3,2),(3,40),(4,6),(4,38),(5,4),(5,37),(6,3),(6,36),(7,5),(7,39),(8,7),(8,35),(9,13),(9,33),(10,1),(10,23),(10,34),(11,9),(11,23),(11,34),(13,20),(14,22),(15,17),(16,15),(17,19),(18,16),(19,14),(20,18),(21,12),(22,12),(23,13),(24,21),(25,21),(25,22),(26,14),(26,25),(27,28),(27,35),(28,18),(28,31),(29,15),(29,30),(30,17),(30,32),(31,16),(31,29),(32,19),(32,26),(33,20),(33,28),(34,27),(34,33),(35,31),(35,39),(36,26),(36,40),(37,30),(37,38),(38,32),(38,36),(39,29),(39,37),(40,24),(40,25)],41)
111111100111=>([(0,8),(0,9),(1,3),(1,34),(2,22),(3,2),(3,46),(4,1),(4,38),(5,47),(5,48),(6,7),(6,49),(6,50),(7,4),(7,12),(7,37),(8,5),(8,39),(8,40),(9,6),(9,39),(9,40),(11,14),(12,15),(13,21),(14,20),(15,17),(16,18),(17,16),(18,19),(19,13),(20,10),(21,10),(22,11),(23,24),(23,31),(24,14),(24,32),(25,23),(25,33),(26,27),(26,28),(27,25),(27,29),(28,29),(28,43),(29,23),(29,42),(30,28),(30,44),(31,13),(31,32),(32,20),(32,21),(33,11),(33,24),(34,25),(34,46),(35,26),(35,30),(36,30),(36,41),(37,26),(37,38),(38,27),(38,34),(39,48),(39,49),(40,47),(40,50),(41,17),(41,44),(42,19),(42,31),(43,18),(43,42),(44,16),(44,43),(45,15),(45,41),(46,22),(46,33),(47,36),(47,45),(48,35),(48,36),(49,35),(49,37),(50,12),(50,45)],51)
111111100001=>([(0,10),(0,11),(1,6),(1,41),(2,26),(3,2),(3,50),(4,3),(4,48),(5,4),(5,49),(6,5),(6,47),(7,9),(7,18),(7,37),(8,24),(8,46),(9,8),(9,25),(9,45),(10,7),(10,15),(10,42),(11,1),(11,15),(11,42),(13,21),(14,16),(15,18),(16,22),(17,23),(18,25),(19,20),(20,17),(21,19),(22,12),(23,12),(24,13),(25,24),(26,14),(27,30),(27,32),(28,27),(28,33),(29,35),(29,38),(30,20),(30,44),(31,14),(31,43),(32,43),(32,44),(33,19),(33,30),(34,22),(34,23),(35,28),(35,36),(36,21),(36,33),(37,29),(37,45),(38,28),(38,40),(39,31),(39,32),(40,27),(40,39),(41,29),(41,47),(42,37),(42,41),(43,16),(43,34),(44,17),(44,34),(45,35),(45,46),(46,13),(46,36),(47,38),(47,49),(48,39),(48,50),(49,40),(49,48),(50,26),(50,31)],51)
111111101101=>([(0,7),(0,8),(1,5),(1,36),(2,20),(3,4),(3,44),(4,2),(4,45),(5,3),(5,43),(6,1),(6,32),(6,46),(7,41),(7,42),(8,6),(8,41),(8,42),(10,13),(11,16),(12,19),(13,18),(14,15),(15,17),(16,14),(17,12),(18,9),(19,9),(20,10),(21,13),(21,28),(22,21),(22,26),(23,35),(23,37),(24,22),(24,38),(25,24),(25,39),(26,12),(26,28),(27,10),(27,21),(28,18),(28,19),(29,23),(29,47),(30,22),(30,27),(31,24),(31,30),(32,23),(32,34),(33,25),(33,31),(34,11),(34,37),(35,25),(35,40),(36,33),(36,43),(37,16),(37,40),(38,17),(38,26),(39,15),(39,38),(40,14),(40,39),(41,29),(41,32),(42,29),(42,46),(43,31),(43,44),(44,30),(44,45),(45,20),(45,27),(46,34),(46,36),(46,47),(47,11),(47,33),(47,35)],48)
111110011111=>([(0,6),(0,7),(1,41),(1,42),(2,5),(2,37),(2,38),(3,19),(3,20),(4,3),(4,51),(4,52),(5,4),(5,49),(5,50),(6,2),(6,43),(6,44),(7,1),(7,43),(7,44),(9,16),(10,15),(11,17),(12,18),(13,11),(14,12),(15,13),(16,14),(17,8),(18,8),(19,10),(20,9),(21,24),(21,25),(22,21),(22,30),(23,21),(23,31),(24,26),(24,47),(25,26),(25,48),(26,32),(26,33),(27,22),(27,39),(28,23),(28,40),(29,22),(29,23),(30,24),(30,45),(31,25),(31,46),(32,11),(32,36),(33,12),(33,36),(34,10),(34,45),(35,9),(35,46),(36,17),(36,18),(37,27),(37,49),(38,28),(38,50),(39,30),(39,34),(40,31),(40,35),(41,27),(41,29),(42,28),(42,29),(43,37),(43,41),(44,38),(44,42),(45,15),(45,47),(46,16),(46,48),(47,13),(47,32),(48,14),(48,33),(49,39),(49,51),(50,40),(50,52),(51,19),(51,34),(52,20),(52,35)],53)
111110011001=>([(0,6),(0,7),(1,2),(1,46),(2,9),(3,1),(3,33),(4,47),(4,49),(5,3),(5,48),(5,52),(6,4),(6,34),(6,35),(7,5),(7,34),(7,35),(9,18),(10,15),(11,19),(12,20),(13,16),(14,17),(15,13),(16,11),(17,12),(18,14),(19,8),(20,8),(21,27),(21,28),(22,24),(22,40),(23,24),(23,37),(24,25),(24,44),(25,21),(25,43),(26,21),(26,42),(27,12),(27,29),(28,11),(28,29),(29,19),(29,20),(30,23),(30,51),(31,22),(31,39),(32,22),(32,23),(33,36),(33,46),(34,49),(34,52),(35,47),(35,48),(36,38),(36,45),(37,25),(37,26),(38,26),(38,41),(39,10),(39,40),(40,15),(40,44),(41,14),(41,42),(42,17),(42,27),(43,16),(43,28),(44,13),(44,43),(45,18),(45,41),(46,9),(46,45),(47,30),(47,32),(48,31),(48,32),(49,30),(49,50),(50,36),(50,39),(50,51),(51,10),(51,37),(51,38),(52,31),(52,33),(52,50)],53)
111110000111=>([(0,8),(0,9),(1,23),(2,1),(2,43),(3,6),(3,41),(3,42),(4,7),(4,39),(4,40),(5,55),(5,56),(6,2),(6,24),(6,52),(7,5),(7,53),(7,54),(8,3),(8,44),(8,45),(9,4),(9,44),(9,45),(11,20),(12,16),(13,21),(14,22),(15,17),(16,15),(17,18),(18,14),(19,13),(20,19),(21,10),(22,10),(23,11),(24,12),(25,31),(25,32),(26,25),(26,48),(27,25),(27,49),(28,12),(28,50),(29,35),(29,36),(30,26),(30,46),(31,14),(31,34),(32,13),(32,34),(33,11),(33,46),(34,21),(34,22),(35,30),(35,37),(36,30),(36,33),(37,26),(37,27),(38,27),(38,47),(39,29),(39,54),(40,28),(40,53),(41,29),(41,52),(42,24),(42,28),(43,23),(43,33),(44,40),(44,42),(45,39),(45,41),(46,20),(46,48),(47,17),(47,49),(48,19),(48,32),(49,18),(49,31),(50,16),(50,51),(51,15),(51,47),(52,36),(52,43),(53,50),(53,56),(54,35),(54,55),(55,37),(55,38),(56,38),(56,51)],57)
111110000001=>([(0,10),(0,11),(1,4),(1,38),(2,24),(3,2),(3,48),(4,3),(4,47),(5,9),(5,18),(5,43),(6,26),(6,50),(7,8),(7,25),(7,51),(8,6),(8,27),(8,52),(9,7),(9,28),(9,49),(10,1),(10,15),(10,44),(11,5),(11,15),(11,44),(13,21),(14,20),(15,18),(16,22),(17,23),(18,28),(19,16),(20,17),(21,19),(22,12),(23,12),(24,13),(25,27),(26,14),(27,26),(28,25),(29,21),(29,34),(30,33),(30,34),(31,29),(31,30),(32,37),(32,39),(33,45),(33,46),(34,19),(34,46),(35,13),(35,29),(36,22),(36,23),(37,31),(37,35),(38,32),(38,47),(39,31),(39,41),(40,33),(40,42),(41,30),(41,40),(42,20),(42,45),(43,32),(43,49),(44,38),(44,43),(45,17),(45,36),(46,16),(46,36),(47,37),(47,48),(48,24),(48,35),(49,39),(49,51),(50,14),(50,42),(51,41),(51,52),(52,40),(52,50)],53)
111110001101=>([(0,7),(0,8),(1,2),(1,51),(2,10),(3,1),(3,42),(4,6),(4,52),(4,54),(5,3),(5,53),(5,57),(6,39),(6,40),(7,4),(7,55),(7,56),(8,5),(8,55),(8,56),(10,21),(11,22),(12,23),(13,24),(14,16),(15,17),(16,15),(17,19),(18,20),(19,12),(20,13),(21,18),(22,14),(23,9),(24,9),(25,31),(25,33),(26,31),(26,43),(27,35),(27,36),(28,25),(28,32),(29,25),(29,26),(30,26),(30,49),(31,27),(31,46),(32,33),(32,48),(33,27),(33,45),(34,32),(34,47),(35,12),(35,37),(36,13),(36,37),(37,23),(37,24),(38,34),(38,44),(39,28),(39,34),(40,28),(40,29),(41,29),(41,30),(42,30),(42,51),(43,18),(43,46),(44,16),(44,47),(45,19),(45,35),(46,20),(46,36),(47,15),(47,48),(48,17),(48,45),(49,21),(49,43),(50,14),(50,44),(51,10),(51,49),(52,38),(52,39),(53,38),(53,50),(54,40),(54,41),(55,11),(55,52),(55,53),(56,11),(56,54),(56,57),(57,22),(57,41),(57,42),(57,50)],58)
111110110111=>([(0,5),(0,6),(1,21),(2,1),(2,33),(3,4),(3,48),(3,49),(4,2),(4,9),(4,32),(5,34),(5,35),(6,3),(6,34),(6,35),(8,17),(9,13),(10,19),(11,20),(12,14),(13,18),(14,15),(15,11),(16,10),(17,16),(18,12),(19,7),(20,7),(21,8),(22,27),(22,28),(23,22),(23,44),(24,22),(24,43),(25,26),(25,36),(26,23),(26,42),(27,11),(27,30),(28,10),(28,30),(29,8),(29,41),(30,19),(30,20),(31,25),(31,40),(32,33),(32,39),(33,21),(33,29),(34,38),(34,49),(35,38),(35,48),(36,23),(36,24),(37,24),(37,41),(38,46),(38,47),(39,29),(39,37),(40,26),(40,45),(41,17),(41,43),(42,14),(42,44),(43,16),(43,28),(44,15),(44,27),(45,12),(45,42),(46,39),(46,40),(46,50),(47,13),(47,25),(47,50),(48,9),(48,31),(48,47),(49,31),(49,32),(49,46),(50,18),(50,36),(50,37),(50,45)],51)
111110110001=>([(0,7),(0,8),(1,2),(1,52),(2,10),(3,1),(3,42),(4,6),(4,24),(4,53),(5,3),(5,54),(5,57),(6,11),(6,51),(7,4),(7,55),(7,56),(8,5),(8,55),(8,56),(10,21),(11,14),(12,22),(13,23),(14,16),(15,17),(16,15),(17,19),(18,20),(19,12),(20,13),(21,18),(22,9),(23,9),(24,11),(25,31),(25,33),(26,31),(26,44),(27,35),(27,36),(28,25),(28,26),(29,26),(29,50),(30,25),(30,32),(31,27),(31,47),(32,33),(32,49),(33,27),(33,46),(34,32),(34,48),(35,12),(35,37),(36,13),(36,37),(37,22),(37,23),(38,28),(38,30),(39,28),(39,29),(40,34),(40,45),(41,30),(41,34),(42,29),(42,52),(43,38),(43,39),(44,18),(44,47),(45,16),(45,48),(46,19),(46,35),(47,20),(47,36),(48,15),(48,49),(49,17),(49,46),(50,21),(50,44),(51,14),(51,45),(52,10),(52,50),(53,40),(53,51),(54,38),(54,41),(55,24),(55,43),(55,54),(56,43),(56,53),(56,57),(57,39),(57,40),(57,41),(57,42)],58)
111110111101=>([(0,5),(0,6),(1,18),(2,4),(2,34),(2,35),(3,1),(3,45),(3,47),(4,3),(4,43),(4,44),(5,36),(5,37),(6,2),(6,36),(6,37),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,22),(19,26),(20,21),(20,41),(21,28),(21,29),(22,20),(22,27),(23,19),(23,31),(24,23),(24,25),(25,19),(25,38),(26,27),(26,42),(27,21),(27,40),(28,10),(28,30),(29,11),(29,30),(30,16),(30,17),(31,22),(31,32),(32,20),(32,39),(33,8),(33,39),(34,23),(34,43),(35,25),(35,44),(36,24),(36,34),(37,24),(37,35),(38,26),(38,46),(39,15),(39,41),(40,13),(40,28),(41,14),(41,29),(42,12),(42,40),(43,31),(43,45),(44,38),(44,47),(45,32),(45,33),(46,8),(46,9),(46,42),(47,18),(47,33),(47,46)],48)
111110100101=>([(0,6),(0,7),(1,4),(1,38),(2,22),(3,2),(3,52),(4,3),(4,51),(5,39),(5,40),(6,1),(6,54),(6,56),(7,5),(7,54),(7,56),(9,19),(10,13),(11,20),(12,21),(13,15),(14,16),(15,14),(16,17),(17,12),(18,11),(19,18),(20,8),(21,8),(22,9),(23,29),(23,31),(24,33),(24,34),(25,29),(25,44),(26,32),(26,45),(27,23),(27,30),(28,23),(28,25),(29,24),(29,46),(30,31),(30,49),(31,24),(31,47),(32,30),(32,48),(33,11),(33,36),(34,12),(34,36),(35,9),(35,44),(36,20),(36,21),(37,25),(37,35),(38,42),(38,51),(39,26),(39,41),(40,26),(40,50),(41,27),(41,32),(42,28),(42,37),(43,27),(43,28),(44,19),(44,46),(45,15),(45,48),(46,18),(46,33),(47,17),(47,34),(48,14),(48,49),(49,16),(49,47),(50,13),(50,45),(51,37),(51,52),(52,22),(52,35),(53,10),(53,42),(53,43),(54,40),(54,53),(54,55),(55,10),(55,41),(55,43),(55,50),(56,38),(56,39),(56,53),(56,55)],57)
111001111111=>([(0,8),(0,9),(1,3),(1,34),(2,22),(3,2),(3,46),(4,1),(4,38),(5,47),(5,48),(6,7),(6,49),(6,50),(7,4),(7,12),(7,37),(8,5),(8,39),(8,40),(9,6),(9,39),(9,40),(11,14),(12,15),(13,21),(14,20),(15,17),(16,18),(17,16),(18,19),(19,13),(20,10),(21,10),(22,11),(23,24),(23,31),(24,14),(24,32),(25,23),(25,33),(26,27),(26,28),(27,25),(27,29),(28,29),(28,43),(29,23),(29,42),(30,28),(30,44),(31,13),(31,32),(32,20),(32,21),(33,11),(33,24),(34,25),(34,46),(35,26),(35,30),(36,30),(36,41),(37,26),(37,38),(38,27),(38,34),(39,48),(39,49),(40,47),(40,50),(41,17),(41,44),(42,19),(42,31),(43,18),(43,42),(44,16),(44,43),(45,15),(45,41),(46,22),(46,33),(47,36),(47,45),(48,35),(48,36),(49,35),(49,37),(50,12),(50,45)],51)
111001111001=>([(0,5),(0,6),(1,47),(1,48),(2,3),(2,49),(2,50),(3,4),(3,39),(3,40),(4,26),(4,27),(5,1),(5,41),(5,42),(6,2),(6,41),(6,42),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,21),(19,45),(20,21),(20,46),(21,30),(21,31),(22,28),(22,33),(23,33),(23,34),(24,18),(24,28),(25,32),(25,34),(26,18),(26,29),(27,29),(27,32),(28,19),(28,43),(29,20),(29,44),(30,10),(30,35),(31,11),(31,35),(32,8),(32,44),(33,9),(33,43),(34,8),(34,9),(35,16),(35,17),(36,22),(36,23),(37,23),(37,25),(38,22),(38,24),(39,25),(39,27),(40,24),(40,26),(41,47),(41,49),(42,48),(42,50),(43,14),(43,45),(44,15),(44,46),(45,12),(45,30),(46,13),(46,31),(47,36),(47,37),(48,36),(48,38),(49,37),(49,39),(50,38),(50,40)],51)
111001100111=>([(0,4),(0,5),(1,42),(1,43),(2,3),(2,48),(2,49),(3,7),(3,8),(4,1),(4,32),(4,33),(5,2),(5,32),(5,33),(7,20),(8,19),(9,21),(10,22),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,15),(18,16),(19,17),(20,18),(21,6),(22,6),(23,27),(23,28),(24,25),(24,26),(25,23),(25,39),(26,23),(26,38),(27,9),(27,29),(28,10),(28,29),(29,21),(29,22),(30,34),(30,35),(31,46),(31,47),(32,42),(32,48),(33,43),(33,49),(34,24),(34,36),(35,24),(35,37),(36,25),(36,41),(37,26),(37,40),(38,13),(38,27),(39,14),(39,28),(40,11),(40,38),(41,12),(41,39),(42,31),(42,44),(43,31),(43,45),(44,19),(44,34),(44,46),(45,20),(45,35),(45,47),(46,17),(46,36),(46,50),(47,18),(47,37),(47,50),(48,8),(48,30),(48,44),(49,7),(49,30),(49,45),(50,15),(50,16),(50,40),(50,41)],51)
111001100001=>([(0,6),(0,7),(1,24),(2,4),(2,53),(2,54),(3,1),(3,52),(3,55),(4,5),(4,10),(4,42),(5,20),(5,50),(6,2),(6,38),(6,39),(7,3),(7,38),(7,39),(9,21),(10,20),(11,22),(12,23),(13,14),(14,16),(15,18),(16,19),(17,15),(18,11),(19,12),(20,13),(21,17),(22,8),(23,8),(24,9),(25,29),(25,31),(26,33),(26,34),(27,30),(27,44),(28,25),(28,30),(29,26),(29,47),(30,31),(30,49),(31,26),(31,46),(32,29),(32,48),(33,11),(33,35),(34,12),(34,35),(35,22),(35,23),(36,32),(36,45),(37,25),(37,32),(38,52),(38,53),(39,54),(39,55),(40,28),(40,37),(41,27),(41,28),(42,36),(42,50),(43,27),(43,51),(44,17),(44,49),(45,14),(45,48),(46,18),(46,33),(47,19),(47,34),(48,16),(48,47),(49,15),(49,46),(50,13),(50,45),(51,21),(51,44),(52,40),(52,41),(53,10),(53,41),(53,43),(54,42),(54,43),(54,56),(55,24),(55,40),(55,56),(56,9),(56,36),(56,37),(56,51)],57)
111001101101=>([(0,4),(0,5),(1,20),(2,47),(2,48),(3,1),(3,53),(3,54),(4,2),(4,49),(4,50),(5,3),(5,49),(5,50),(7,17),(8,14),(9,18),(10,19),(11,15),(12,16),(13,11),(14,12),(15,9),(16,10),(17,13),(18,6),(19,6),(20,7),(21,27),(21,28),(22,38),(22,40),(23,24),(23,44),(24,25),(24,45),(25,21),(25,42),(26,21),(26,43),(27,9),(27,29),(28,10),(28,29),(29,18),(29,19),(30,22),(30,37),(31,23),(31,35),(32,23),(32,41),(33,22),(33,52),(34,7),(34,41),(35,24),(35,36),(36,25),(36,26),(37,8),(37,40),(38,26),(38,46),(39,30),(39,33),(40,14),(40,46),(41,17),(41,44),(42,15),(42,27),(43,16),(43,28),(44,13),(44,45),(45,11),(45,42),(46,12),(46,43),(47,31),(47,32),(48,32),(48,34),(49,39),(49,47),(49,53),(50,39),(50,48),(50,54),(51,35),(51,37),(51,52),(52,8),(52,36),(52,38),(53,30),(53,31),(53,51),(54,20),(54,33),(54,34),(54,51)],55)
111000011111=>([(0,8),(0,9),(1,23),(2,1),(2,43),(3,6),(3,41),(3,42),(4,7),(4,39),(4,40),(5,55),(5,56),(6,2),(6,24),(6,52),(7,5),(7,53),(7,54),(8,3),(8,44),(8,45),(9,4),(9,44),(9,45),(11,20),(12,16),(13,21),(14,22),(15,17),(16,15),(17,18),(18,14),(19,13),(20,19),(21,10),(22,10),(23,11),(24,12),(25,31),(25,32),(26,25),(26,48),(27,25),(27,49),(28,12),(28,50),(29,35),(29,36),(30,26),(30,46),(31,14),(31,34),(32,13),(32,34),(33,11),(33,46),(34,21),(34,22),(35,30),(35,37),(36,30),(36,33),(37,26),(37,27),(38,27),(38,47),(39,29),(39,54),(40,28),(40,53),(41,29),(41,52),(42,24),(42,28),(43,23),(43,33),(44,40),(44,42),(45,39),(45,41),(46,20),(46,48),(47,17),(47,49),(48,19),(48,32),(49,18),(49,31),(50,16),(50,51),(51,15),(51,47),(52,36),(52,43),(53,50),(53,56),(54,35),(54,55),(55,37),(55,38),(56,38),(56,51)],57)
111000011001=>([(0,6),(0,7),(1,24),(2,4),(2,53),(2,54),(3,1),(3,52),(3,55),(4,5),(4,42),(4,43),(5,27),(5,28),(6,2),(6,38),(6,39),(7,3),(7,38),(7,39),(9,20),(10,21),(11,22),(12,23),(13,14),(14,15),(15,18),(16,19),(17,16),(18,11),(19,12),(20,17),(21,13),(22,8),(23,8),(24,9),(25,33),(25,34),(26,35),(26,36),(27,32),(27,45),(28,25),(28,32),(29,25),(29,31),(30,31),(30,44),(31,33),(31,49),(32,34),(32,48),(33,26),(33,46),(34,26),(34,47),(35,11),(35,37),(36,12),(36,37),(37,22),(37,23),(38,52),(38,53),(39,54),(39,55),(40,30),(40,51),(41,29),(41,30),(42,28),(42,29),(43,27),(43,50),(44,14),(44,49),(45,17),(45,48),(46,18),(46,35),(47,19),(47,36),(48,16),(48,47),(49,15),(49,46),(50,20),(50,45),(51,13),(51,44),(52,40),(52,41),(53,10),(53,41),(53,42),(54,10),(54,43),(54,56),(55,24),(55,40),(55,56),(56,9),(56,21),(56,50),(56,51)],57)
111000000111=>([(0,8),(0,9),(1,7),(1,33),(1,34),(2,4),(2,35),(2,36),(3,49),(3,50),(4,25),(4,26),(5,6),(5,53),(5,54),(6,3),(6,51),(6,52),(7,5),(7,47),(7,48),(8,1),(8,37),(8,38),(9,2),(9,37),(9,38),(11,22),(12,21),(13,23),(14,24),(15,19),(16,20),(17,15),(18,16),(19,13),(20,14),(21,17),(22,18),(23,10),(24,10),(25,12),(26,11),(27,13),(27,31),(28,14),(28,31),(29,12),(29,39),(30,11),(30,40),(31,23),(31,24),(32,27),(32,28),(33,29),(33,47),(34,30),(34,48),(35,25),(35,29),(36,26),(36,30),(37,33),(37,35),(38,34),(38,36),(39,21),(39,45),(40,22),(40,46),(41,19),(41,27),(42,20),(42,28),(43,15),(43,41),(44,16),(44,42),(45,17),(45,43),(46,18),(46,44),(47,39),(47,53),(48,40),(48,54),(49,32),(49,41),(50,32),(50,42),(51,43),(51,49),(52,44),(52,50),(53,45),(53,51),(54,46),(54,52)],55)
111000000001=>([(0,10),(0,11),(1,2),(1,40),(2,13),(3,9),(3,15),(3,39),(4,26),(4,41),(5,7),(5,30),(5,42),(6,8),(6,27),(6,44),(7,6),(7,28),(7,45),(8,4),(8,29),(8,43),(9,5),(9,25),(9,46),(10,3),(10,16),(10,31),(11,1),(11,16),(11,31),(13,21),(14,24),(15,25),(16,15),(17,19),(18,17),(19,22),(20,18),(21,20),(22,23),(23,12),(24,12),(25,30),(26,14),(27,29),(28,27),(29,26),(30,28),(31,39),(31,40),(32,23),(32,24),(33,20),(33,37),(34,21),(34,33),(35,17),(35,36),(36,19),(36,38),(37,18),(37,35),(38,22),(38,32),(39,34),(39,46),(40,13),(40,34),(41,14),(41,32),(42,37),(42,45),(43,38),(43,41),(44,36),(44,43),(45,35),(45,44),(46,33),(46,42)],47)
111000001101=>([(0,7),(0,8),(1,26),(2,1),(2,39),(2,57),(3,5),(3,37),(3,38),(4,51),(4,52),(5,6),(5,49),(5,50),(6,4),(6,53),(6,54),(7,3),(7,55),(7,56),(8,2),(8,55),(8,56),(10,22),(11,23),(12,24),(13,25),(14,21),(15,14),(16,17),(17,18),(18,19),(19,20),(20,12),(21,13),(22,15),(23,16),(24,9),(25,9),(26,10),(27,29),(27,30),(28,32),(28,41),(29,12),(29,31),(30,13),(30,31),(31,24),(31,25),(32,34),(32,43),(33,27),(33,42),(34,33),(34,44),(35,27),(35,40),(36,10),(36,47),(37,28),(37,50),(38,36),(38,49),(39,28),(39,48),(40,21),(40,30),(41,17),(41,43),(42,20),(42,29),(43,18),(43,44),(44,19),(44,42),(45,15),(45,46),(46,14),(46,40),(47,22),(47,45),(48,16),(48,41),(49,47),(49,54),(50,32),(50,53),(51,35),(51,46),(52,33),(52,35),(53,34),(53,52),(54,45),(54,51),(55,11),(55,37),(55,39),(56,11),(56,38),(56,57),(57,23),(57,26),(57,36),(57,48)],58)
111000110111=>([(0,5),(0,6),(1,3),(1,53),(1,54),(2,4),(2,57),(2,58),(3,37),(3,38),(4,8),(4,9),(5,1),(5,55),(5,56),(6,2),(6,55),(6,56),(8,21),(9,20),(10,22),(11,23),(12,15),(13,16),(14,12),(15,18),(16,19),(17,13),(18,10),(19,11),(20,17),(21,14),(22,7),(23,7),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,49),(29,31),(29,48),(30,25),(30,46),(31,25),(31,45),(32,28),(32,50),(33,29),(33,47),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,26),(37,32),(38,32),(38,43),(39,33),(39,44),(40,26),(40,27),(41,27),(41,33),(42,39),(42,51),(43,17),(43,50),(44,14),(44,47),(45,18),(45,34),(46,19),(46,35),(47,12),(47,48),(48,15),(48,45),(49,16),(49,46),(50,13),(50,49),(51,21),(51,44),(52,20),(52,43),(53,38),(53,52),(54,37),(54,40),(55,42),(55,54),(55,57),(56,42),(56,53),(56,58),(57,8),(57,40),(57,41),(57,51),(58,9),(58,39),(58,41),(58,52)],59)
111000110001=>([(0,5),(0,6),(1,20),(2,4),(2,45),(2,46),(3,1),(3,47),(3,51),(4,36),(4,39),(5,2),(5,37),(5,38),(6,3),(6,37),(6,38),(8,17),(9,13),(10,18),(11,19),(12,14),(13,15),(14,10),(15,11),(16,12),(17,16),(18,7),(19,7),(20,8),(21,22),(21,29),(22,23),(22,43),(23,31),(23,32),(24,21),(24,30),(25,21),(25,27),(26,27),(26,50),(27,29),(27,44),(28,30),(28,40),(29,23),(29,41),(30,22),(30,42),(31,10),(31,33),(32,11),(32,33),(33,18),(33,19),(34,24),(34,28),(35,24),(35,25),(36,25),(36,26),(37,46),(37,51),(38,45),(38,47),(39,26),(39,49),(40,9),(40,42),(41,14),(41,31),(42,13),(42,43),(43,15),(43,32),(44,12),(44,41),(45,35),(45,36),(46,39),(46,48),(47,34),(47,35),(48,8),(48,28),(48,49),(49,17),(49,40),(49,50),(50,9),(50,16),(50,44),(51,20),(51,34),(51,48)],52)
111000111101=>([(0,6),(0,7),(1,4),(1,39),(1,40),(2,5),(2,41),(2,56),(3,52),(3,53),(4,49),(4,50),(5,3),(5,51),(5,57),(6,1),(6,54),(6,55),(7,2),(7,54),(7,55),(9,21),(10,14),(11,23),(12,24),(13,17),(14,22),(15,13),(16,19),(17,20),(18,16),(19,11),(20,12),(21,18),(22,15),(23,8),(24,8),(25,31),(25,32),(26,28),(26,29),(27,35),(27,36),(28,25),(28,44),(29,25),(29,45),(30,28),(30,46),(31,11),(31,34),(32,12),(32,34),(33,9),(33,47),(34,23),(34,24),(35,26),(35,30),(36,26),(36,37),(37,29),(37,42),(38,30),(38,43),(39,27),(39,50),(40,33),(40,49),(41,27),(41,51),(42,17),(42,45),(43,18),(43,46),(44,19),(44,31),(45,20),(45,32),(46,16),(46,44),(47,21),(47,43),(48,13),(48,42),(49,38),(49,47),(50,35),(50,38),(51,36),(51,52),(52,37),(52,48),(53,15),(53,48),(54,10),(54,39),(54,41),(55,10),(55,40),(55,56),(56,14),(56,33),(56,57),(57,9),(57,22),(57,53)],58)
111000100101=>([(0,5),(0,6),(1,2),(1,51),(2,8),(3,4),(3,54),(3,57),(4,40),(4,41),(5,1),(5,52),(5,55),(6,3),(6,52),(6,55),(8,22),(9,13),(10,23),(11,24),(12,16),(13,12),(14,17),(15,18),(16,14),(17,20),(18,21),(19,15),(20,10),(21,11),(22,19),(23,7),(24,7),(25,31),(25,32),(26,35),(26,36),(27,25),(27,30),(28,25),(28,29),(29,31),(29,48),(30,32),(30,47),(31,26),(31,45),(32,26),(32,44),(33,30),(33,46),(34,29),(34,49),(35,10),(35,37),(36,11),(36,37),(37,23),(37,24),(38,27),(38,33),(39,33),(39,43),(40,34),(40,42),(41,28),(41,34),(42,19),(42,49),(43,16),(43,46),(44,20),(44,35),(45,21),(45,36),(46,14),(46,47),(47,17),(47,44),(48,18),(48,45),(49,15),(49,48),(50,22),(50,42),(51,8),(51,50),(52,9),(52,53),(52,54),(53,13),(53,38),(53,56),(54,39),(54,41),(54,56),(55,9),(55,51),(55,53),(55,57),(56,12),(56,27),(56,28),(56,43),(57,38),(57,39),(57,40),(57,50)],58)
111011011111=>([(0,5),(0,6),(1,21),(2,1),(2,33),(3,4),(3,48),(3,49),(4,2),(4,9),(4,32),(5,34),(5,35),(6,3),(6,34),(6,35),(8,17),(9,13),(10,19),(11,20),(12,14),(13,18),(14,15),(15,11),(16,10),(17,16),(18,12),(19,7),(20,7),(21,8),(22,27),(22,28),(23,22),(23,44),(24,22),(24,43),(25,26),(25,36),(26,23),(26,42),(27,11),(27,30),(28,10),(28,30),(29,8),(29,41),(30,19),(30,20),(31,25),(31,40),(32,33),(32,39),(33,21),(33,29),(34,38),(34,49),(35,38),(35,48),(36,23),(36,24),(37,24),(37,41),(38,46),(38,47),(39,29),(39,37),(40,26),(40,45),(41,17),(41,43),(42,14),(42,44),(43,16),(43,28),(44,15),(44,27),(45,12),(45,42),(46,39),(46,40),(46,50),(47,13),(47,25),(47,50),(48,9),(48,31),(48,47),(49,31),(49,32),(49,46),(50,18),(50,36),(50,37),(50,45)],51)
111011011001=>([(0,4),(0,5),(1,22),(2,23),(2,42),(3,1),(3,43),(3,51),(4,2),(4,46),(4,47),(5,3),(5,46),(5,47),(7,18),(8,15),(9,20),(10,21),(11,16),(12,17),(13,11),(14,13),(15,19),(16,9),(17,10),(18,14),(19,12),(20,6),(21,6),(22,8),(23,7),(24,28),(24,29),(25,48),(25,49),(26,27),(26,31),(27,24),(27,35),(28,10),(28,30),(29,9),(29,30),(30,20),(30,21),(31,24),(31,36),(32,27),(32,39),(33,26),(33,32),(34,25),(34,45),(35,17),(35,28),(36,16),(36,29),(37,18),(37,40),(38,11),(38,36),(39,12),(39,35),(40,14),(40,41),(41,13),(41,38),(42,7),(42,37),(43,25),(43,44),(44,33),(44,40),(44,48),(45,8),(45,33),(45,49),(46,34),(46,42),(46,51),(47,23),(47,34),(47,43),(48,32),(48,41),(48,50),(49,15),(49,26),(49,50),(50,19),(50,31),(50,38),(50,39),(51,22),(51,37),(51,44),(51,45)],52)
111011000111=>([(0,5),(0,6),(1,3),(1,53),(1,54),(2,4),(2,57),(2,58),(3,37),(3,38),(4,8),(4,9),(5,1),(5,55),(5,56),(6,2),(6,55),(6,56),(8,21),(9,20),(10,22),(11,23),(12,15),(13,16),(14,12),(15,18),(16,19),(17,13),(18,10),(19,11),(20,17),(21,14),(22,7),(23,7),(24,30),(24,31),(25,34),(25,35),(26,24),(26,28),(27,24),(27,29),(28,30),(28,49),(29,31),(29,48),(30,25),(30,46),(31,25),(31,45),(32,28),(32,50),(33,29),(33,47),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,26),(37,32),(38,32),(38,43),(39,33),(39,44),(40,26),(40,27),(41,27),(41,33),(42,39),(42,51),(43,17),(43,50),(44,14),(44,47),(45,18),(45,34),(46,19),(46,35),(47,12),(47,48),(48,15),(48,45),(49,16),(49,46),(50,13),(50,49),(51,21),(51,44),(52,20),(52,43),(53,38),(53,52),(54,37),(54,40),(55,42),(55,54),(55,57),(56,42),(56,53),(56,58),(57,8),(57,40),(57,41),(57,51),(58,9),(58,39),(58,41),(58,52)],59)
111011000001=>([(0,7),(0,8),(1,23),(2,1),(2,44),(2,57),(3,5),(3,10),(3,43),(4,25),(4,53),(5,6),(5,24),(5,52),(6,4),(6,26),(6,54),(7,3),(7,55),(7,56),(8,2),(8,55),(8,56),(10,24),(11,20),(12,15),(13,21),(14,22),(15,19),(16,18),(17,16),(18,13),(19,14),(20,17),(21,9),(22,9),(23,11),(24,26),(25,12),(26,25),(27,35),(27,36),(28,29),(28,33),(29,27),(29,46),(30,28),(30,32),(31,34),(31,47),(32,33),(32,50),(33,27),(33,48),(34,32),(34,49),(35,13),(35,37),(36,14),(36,37),(37,21),(37,22),(38,28),(38,39),(39,29),(39,51),(40,30),(40,34),(41,30),(41,38),(42,11),(42,47),(43,41),(43,52),(44,31),(44,40),(45,31),(45,42),(46,19),(46,36),(47,20),(47,49),(48,18),(48,35),(49,17),(49,50),(50,16),(50,48),(51,15),(51,46),(52,38),(52,54),(53,12),(53,51),(54,39),(54,53),(55,10),(55,44),(55,45),(56,43),(56,45),(56,57),(57,23),(57,40),(57,41),(57,42)],58)
111011001101=>([(0,4),(0,5),(1,21),(2,48),(2,49),(3,1),(3,53),(3,55),(4,2),(4,51),(4,52),(5,3),(5,51),(5,52),(7,18),(8,11),(9,19),(10,20),(11,12),(12,13),(13,16),(14,17),(15,14),(16,9),(17,10),(18,15),(19,6),(20,6),(21,7),(22,30),(22,31),(23,26),(23,40),(24,25),(24,26),(25,27),(25,28),(26,28),(26,45),(27,22),(27,43),(28,22),(28,42),(29,27),(29,44),(30,9),(30,32),(31,10),(31,32),(32,19),(32,20),(33,37),(33,47),(34,24),(34,38),(35,23),(35,46),(36,23),(36,24),(37,29),(37,41),(38,25),(38,29),(39,33),(39,50),(40,12),(40,45),(41,15),(41,44),(42,16),(42,30),(43,17),(43,31),(44,14),(44,43),(45,13),(45,42),(46,11),(46,40),(47,18),(47,41),(48,35),(48,36),(49,34),(49,36),(50,7),(50,8),(50,47),(51,39),(51,49),(51,55),(52,39),(52,48),(52,53),(53,33),(53,35),(53,54),(54,8),(54,37),(54,38),(54,46),(55,21),(55,34),(55,50),(55,54)],56)
111011110111=>([(0,4),(0,5),(1,3),(1,35),(1,36),(2,43),(2,44),(3,2),(3,41),(3,42),(4,37),(4,38),(5,1),(5,37),(5,38),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,16),(15,17),(16,26),(16,28),(17,27),(17,28),(18,23),(18,24),(19,23),(19,25),(20,15),(20,30),(21,15),(21,31),(22,20),(22,21),(23,39),(23,40),(24,11),(24,39),(25,12),(25,40),(26,8),(26,24),(27,7),(27,25),(28,7),(28,8),(29,13),(29,14),(30,16),(30,32),(31,17),(31,33),(32,18),(32,26),(33,19),(33,27),(34,18),(34,19),(35,20),(35,41),(36,21),(36,42),(37,22),(37,35),(38,22),(38,36),(39,9),(39,29),(40,10),(40,29),(41,30),(41,43),(42,31),(42,44),(43,32),(43,34),(44,33),(44,34)],45)
111011110001=>([(0,6),(0,7),(1,4),(1,9),(1,40),(2,5),(2,39),(2,56),(3,52),(3,53),(4,24),(4,50),(5,3),(5,51),(5,57),(6,1),(6,54),(6,55),(7,2),(7,54),(7,55),(9,24),(10,21),(11,14),(12,22),(13,23),(14,15),(15,16),(16,19),(17,20),(18,17),(19,12),(20,13),(21,18),(22,8),(23,8),(24,11),(25,29),(25,30),(26,33),(26,42),(27,25),(27,44),(28,25),(28,45),(29,12),(29,31),(30,13),(30,31),(31,22),(31,23),(32,34),(32,43),(33,35),(33,48),(34,27),(34,47),(35,28),(35,46),(36,27),(36,28),(37,32),(37,49),(38,10),(38,42),(39,26),(39,51),(40,37),(40,50),(41,26),(41,38),(42,21),(42,48),(43,15),(43,47),(44,19),(44,29),(45,20),(45,30),(46,17),(46,45),(47,16),(47,44),(48,18),(48,46),(49,14),(49,43),(50,11),(50,49),(51,33),(51,53),(52,34),(52,36),(53,35),(53,36),(54,40),(54,41),(54,56),(55,9),(55,39),(55,41),(56,37),(56,38),(56,57),(57,10),(57,32),(57,52)],58)
111011111101=>([(0,6),(0,7),(1,5),(1,33),(1,34),(2,44),(2,47),(3,2),(3,45),(3,48),(4,3),(4,43),(4,46),(5,4),(5,41),(5,42),(6,35),(6,36),(7,1),(7,35),(7,36),(9,18),(10,13),(11,19),(12,20),(13,14),(14,16),(15,17),(16,12),(17,11),(18,15),(19,8),(20,8),(21,26),(21,32),(22,26),(22,28),(23,21),(23,22),(24,12),(24,27),(25,11),(25,27),(26,9),(26,37),(27,19),(27,20),(28,31),(28,37),(29,24),(29,25),(30,29),(30,38),(31,30),(31,39),(32,9),(32,10),(33,22),(33,42),(34,21),(34,41),(35,23),(35,33),(36,23),(36,34),(37,18),(37,39),(38,17),(38,25),(39,15),(39,38),(40,16),(40,24),(41,32),(41,43),(42,28),(42,46),(43,10),(43,48),(44,29),(44,40),(45,30),(45,44),(46,31),(46,45),(47,14),(47,40),(48,13),(48,47)],49)
111011100101=>([(0,4),(0,5),(1,50),(1,51),(2,3),(2,52),(2,55),(3,35),(3,53),(4,1),(4,56),(4,57),(5,2),(5,56),(5,57),(7,19),(8,18),(9,20),(10,21),(11,13),(12,14),(13,16),(14,17),(15,11),(16,9),(17,10),(18,15),(19,12),(20,6),(21,6),(22,30),(22,31),(23,24),(23,25),(24,22),(24,43),(25,22),(25,44),(26,28),(26,45),(27,29),(27,48),(28,24),(28,46),(29,25),(29,47),(30,9),(30,32),(31,10),(31,32),(32,20),(32,21),(33,26),(33,37),(34,26),(34,42),(35,27),(35,38),(36,8),(36,49),(37,23),(37,28),(38,23),(38,29),(39,7),(39,41),(40,27),(40,41),(41,19),(41,48),(42,15),(42,45),(43,16),(43,30),(44,17),(44,31),(45,11),(45,46),(46,13),(46,43),(47,14),(47,44),(48,12),(48,47),(49,18),(49,42),(50,34),(50,49),(51,33),(51,34),(52,35),(52,40),(53,7),(53,37),(53,38),(54,8),(54,39),(54,40),(55,33),(55,39),(55,53),(56,36),(56,51),(56,54),(56,55),(57,36),(57,50),(57,52),(57,54)],58)
111010010111=>([(0,4),(0,5),(1,51),(1,52),(2,3),(2,53),(2,54),(3,7),(3,8),(4,1),(4,55),(4,56),(5,2),(5,55),(5,56),(7,20),(8,19),(9,21),(10,22),(11,13),(12,14),(13,17),(14,18),(15,11),(16,12),(17,9),(18,10),(19,15),(20,16),(21,6),(22,6),(23,29),(23,30),(24,33),(24,34),(25,23),(25,27),(26,23),(26,28),(27,29),(27,45),(28,30),(28,46),(29,24),(29,43),(30,24),(30,44),(31,27),(31,47),(32,28),(32,48),(33,9),(33,35),(34,10),(34,35),(35,21),(35,22),(36,25),(36,26),(37,25),(37,31),(38,26),(38,32),(39,31),(39,41),(40,32),(40,42),(41,15),(41,47),(42,16),(42,48),(43,17),(43,33),(44,18),(44,34),(45,13),(45,43),(46,14),(46,44),(47,11),(47,45),(48,12),(48,46),(49,19),(49,41),(50,20),(50,42),(51,36),(51,37),(52,36),(52,38),(53,8),(53,49),(54,7),(54,50),(55,51),(55,53),(55,57),(55,58),(56,52),(56,54),(56,57),(56,58),(57,39),(57,40),(57,49),(57,50),(58,37),(58,38),(58,39),(58,40)],59)
111010010001=>([(0,5),(0,6),(1,2),(1,51),(2,8),(3,4),(3,54),(3,55),(4,9),(4,49),(5,1),(5,52),(5,57),(6,3),(6,52),(6,57),(8,21),(9,12),(10,22),(11,23),(12,13),(13,15),(14,16),(15,17),(16,19),(17,20),(18,14),(19,10),(20,11),(21,18),(22,7),(23,7),(24,31),(24,32),(25,28),(25,29),(26,25),(26,27),(27,28),(27,47),(28,24),(28,44),(29,24),(29,43),(30,29),(30,45),(31,10),(31,33),(32,11),(32,33),(33,22),(33,23),(34,26),(34,35),(35,25),(35,30),(36,27),(36,41),(37,30),(37,46),(38,37),(38,42),(39,26),(39,36),(40,38),(40,48),(41,15),(41,47),(42,18),(42,46),(43,19),(43,31),(44,20),(44,32),(45,16),(45,43),(46,14),(46,45),(47,17),(47,44),(48,21),(48,42),(49,12),(49,50),(50,13),(50,41),(51,8),(51,48),(52,40),(52,53),(52,55),(53,38),(53,39),(53,56),(54,34),(54,49),(54,56),(55,9),(55,34),(55,39),(56,35),(56,36),(56,37),(56,50),(57,40),(57,51),(57,53),(57,54)],58)
111010011101=>([(0,4),(0,5),(1,50),(1,51),(2,3),(2,52),(2,53),(3,40),(3,41),(4,1),(4,54),(4,55),(5,2),(5,54),(5,55),(7,16),(8,15),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,12),(16,11),(17,6),(18,6),(19,28),(19,29),(20,30),(20,31),(21,19),(21,26),(22,27),(22,45),(23,19),(23,27),(24,26),(24,44),(25,22),(25,32),(26,28),(26,49),(27,29),(27,48),(28,20),(28,46),(29,20),(29,47),(30,9),(30,35),(31,10),(31,35),(32,8),(32,45),(33,7),(33,44),(34,7),(34,8),(35,17),(35,18),(36,22),(36,23),(37,32),(37,34),(38,21),(38,23),(39,21),(39,24),(40,24),(40,33),(41,33),(41,34),(42,25),(42,36),(43,25),(43,37),(44,16),(44,49),(45,15),(45,48),(46,13),(46,30),(47,14),(47,31),(48,12),(48,47),(49,11),(49,46),(50,38),(50,39),(51,36),(51,38),(52,39),(52,40),(53,37),(53,41),(54,42),(54,43),(54,51),(54,53),(55,42),(55,43),(55,50),(55,52)],56)
111010000101=>([(0,6),(0,7),(1,2),(1,50),(2,9),(3,5),(3,37),(3,39),(4,53),(4,54),(5,4),(5,51),(5,52),(6,3),(6,55),(6,57),(7,1),(7,55),(7,57),(9,22),(10,19),(11,23),(12,24),(13,14),(14,17),(15,16),(16,20),(17,21),(18,15),(19,13),(20,11),(21,12),(22,18),(23,8),(24,8),(25,31),(25,32),(26,30),(26,34),(27,28),(27,46),(28,25),(28,43),(29,25),(29,44),(30,27),(30,45),(31,11),(31,33),(32,12),(32,33),(33,23),(33,24),(34,27),(34,35),(35,28),(35,29),(36,29),(36,41),(37,26),(37,52),(38,30),(38,42),(39,40),(39,51),(40,19),(40,47),(41,17),(41,44),(42,18),(42,45),(43,20),(43,31),(44,21),(44,32),(45,15),(45,46),(46,16),(46,43),(47,13),(47,48),(48,14),(48,41),(49,22),(49,42),(50,9),(50,49),(51,47),(51,53),(52,34),(52,54),(53,36),(53,48),(54,35),(54,36),(55,39),(55,56),(55,58),(56,10),(56,38),(56,49),(57,37),(57,50),(57,56),(57,58),(58,10),(58,26),(58,38),(58,40)],59)
111010110101=>([(0,3),(0,4),(1,18),(2,1),(2,33),(2,43),(3,47),(3,48),(4,2),(4,47),(4,48),(6,15),(7,11),(8,16),(9,17),(10,12),(11,10),(12,13),(13,9),(14,8),(15,14),(16,5),(17,5),(18,7),(19,20),(19,21),(20,22),(20,42),(21,22),(21,41),(22,28),(22,29),(23,26),(23,46),(24,19),(24,26),(25,19),(25,27),(26,20),(26,39),(27,21),(27,40),(28,9),(28,31),(29,8),(29,31),(30,6),(30,40),(31,16),(31,17),(32,34),(32,36),(33,35),(33,37),(34,23),(34,24),(35,24),(35,25),(36,23),(36,45),(37,25),(37,38),(38,27),(38,30),(39,12),(39,42),(40,15),(40,41),(41,14),(41,29),(42,13),(42,28),(43,18),(43,37),(43,44),(44,7),(44,38),(44,45),(45,11),(45,30),(45,46),(46,6),(46,10),(46,39),(47,32),(47,33),(47,49),(48,32),(48,43),(48,49),(49,34),(49,35),(49,36),(49,44)],50)
100111111111=>([(0,10),(0,11),(1,8),(1,27),(2,24),(3,2),(3,40),(4,6),(4,38),(5,4),(5,37),(6,3),(6,36),(7,5),(7,39),(8,7),(8,35),(9,13),(9,33),(10,1),(10,23),(10,34),(11,9),(11,23),(11,34),(13,20),(14,22),(15,17),(16,15),(17,19),(18,16),(19,14),(20,18),(21,12),(22,12),(23,13),(24,21),(25,21),(25,22),(26,14),(26,25),(27,28),(27,35),(28,18),(28,31),(29,15),(29,30),(30,17),(30,32),(31,16),(31,29),(32,19),(32,26),(33,20),(33,28),(34,27),(34,33),(35,31),(35,39),(36,26),(36,40),(37,30),(37,38),(38,32),(38,36),(39,29),(39,37),(40,24),(40,25)],41)
100111111001=>([(0,7),(0,8),(1,33),(1,34),(2,4),(2,30),(2,31),(3,47),(3,48),(4,5),(4,45),(4,46),(5,6),(5,51),(5,52),(6,3),(6,49),(6,50),(7,2),(7,35),(7,36),(8,1),(8,35),(8,36),(10,21),(11,20),(12,22),(13,23),(14,18),(15,19),(16,14),(17,15),(18,12),(19,13),(20,16),(21,17),(22,9),(23,9),(24,12),(24,29),(25,13),(25,29),(26,11),(26,37),(27,10),(27,38),(28,10),(28,11),(29,22),(29,23),(30,26),(30,45),(31,27),(31,46),(32,24),(32,25),(33,26),(33,28),(34,27),(34,28),(35,30),(35,33),(36,31),(36,34),(37,20),(37,43),(38,21),(38,44),(39,18),(39,24),(40,19),(40,25),(41,14),(41,39),(42,15),(42,40),(43,16),(43,41),(44,17),(44,42),(45,37),(45,51),(46,38),(46,52),(47,32),(47,39),(48,32),(48,40),(49,41),(49,47),(50,42),(50,48),(51,43),(51,49),(52,44),(52,50)],53)
100111100111=>([(0,5),(0,6),(1,47),(1,48),(2,3),(2,49),(2,50),(3,4),(3,39),(3,40),(4,26),(4,27),(5,1),(5,41),(5,42),(6,2),(6,41),(6,42),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,21),(19,45),(20,21),(20,46),(21,30),(21,31),(22,28),(22,33),(23,33),(23,34),(24,18),(24,28),(25,32),(25,34),(26,18),(26,29),(27,29),(27,32),(28,19),(28,43),(29,20),(29,44),(30,10),(30,35),(31,11),(31,35),(32,8),(32,44),(33,9),(33,43),(34,8),(34,9),(35,16),(35,17),(36,22),(36,23),(37,23),(37,25),(38,22),(38,24),(39,25),(39,27),(40,24),(40,26),(41,47),(41,49),(42,48),(42,50),(43,14),(43,45),(44,15),(44,46),(45,12),(45,30),(46,13),(46,31),(47,36),(47,37),(48,36),(48,38),(49,37),(49,39),(50,38),(50,40)],51)
100111100001=>([(0,7),(0,8),(1,6),(1,37),(1,38),(2,5),(2,56),(2,57),(3,53),(3,54),(4,24),(4,52),(5,4),(5,25),(5,55),(6,3),(6,50),(6,51),(7,2),(7,39),(7,40),(8,1),(8,39),(8,40),(10,21),(11,16),(12,22),(13,23),(14,15),(15,17),(16,14),(17,20),(18,19),(19,12),(20,13),(21,18),(22,9),(23,9),(24,10),(25,24),(26,31),(26,32),(27,26),(27,44),(28,26),(28,45),(29,30),(29,47),(30,27),(30,42),(31,12),(31,33),(32,13),(32,33),(33,22),(33,23),(34,27),(34,28),(35,30),(35,34),(36,28),(36,43),(37,49),(37,51),(38,41),(38,50),(39,38),(39,56),(40,37),(40,57),(41,29),(41,35),(42,18),(42,44),(43,17),(43,45),(44,19),(44,31),(45,20),(45,32),(46,14),(46,48),(47,21),(47,42),(48,15),(48,43),(49,16),(49,46),(50,35),(50,54),(51,46),(51,53),(52,10),(52,47),(53,36),(53,48),(54,34),(54,36),(55,29),(55,52),(56,11),(56,41),(56,55),(57,11),(57,25),(57,49)],58)
100111101101=>([(0,5),(0,6),(1,23),(1,51),(2,3),(2,55),(2,56),(3,4),(3,35),(3,38),(4,25),(4,30),(5,1),(5,53),(5,54),(6,2),(6,53),(6,54),(8,20),(9,17),(10,21),(11,22),(12,14),(13,15),(14,18),(15,19),(16,12),(17,13),(18,10),(19,11),(20,16),(21,7),(22,7),(23,8),(24,32),(24,33),(25,26),(25,27),(26,28),(26,29),(27,28),(27,46),(28,24),(28,44),(29,24),(29,45),(30,27),(30,49),(31,29),(31,47),(32,10),(32,34),(33,11),(33,34),(34,21),(34,22),(35,25),(35,39),(36,40),(36,43),(37,9),(37,43),(38,30),(38,42),(39,26),(39,31),(40,31),(40,48),(41,36),(41,52),(42,16),(42,49),(43,17),(43,48),(44,18),(44,32),(45,19),(45,33),(46,14),(46,44),(47,15),(47,45),(48,13),(48,47),(49,12),(49,46),(50,20),(50,42),(51,8),(51,50),(52,9),(52,39),(52,40),(53,23),(53,41),(53,55),(54,41),(54,51),(54,56),(55,35),(55,37),(55,52),(56,36),(56,37),(56,38),(56,50)],57)
100110011111=>([(0,6),(0,7),(1,2),(1,46),(2,9),(3,1),(3,33),(4,47),(4,49),(5,3),(5,48),(5,52),(6,4),(6,34),(6,35),(7,5),(7,34),(7,35),(9,18),(10,15),(11,19),(12,20),(13,16),(14,17),(15,13),(16,11),(17,12),(18,14),(19,8),(20,8),(21,27),(21,28),(22,24),(22,40),(23,24),(23,37),(24,25),(24,44),(25,21),(25,43),(26,21),(26,42),(27,12),(27,29),(28,11),(28,29),(29,19),(29,20),(30,23),(30,51),(31,22),(31,39),(32,22),(32,23),(33,36),(33,46),(34,49),(34,52),(35,47),(35,48),(36,38),(36,45),(37,25),(37,26),(38,26),(38,41),(39,10),(39,40),(40,15),(40,44),(41,14),(41,42),(42,17),(42,27),(43,16),(43,28),(44,13),(44,43),(45,18),(45,41),(46,9),(46,45),(47,30),(47,32),(48,31),(48,32),(49,30),(49,50),(50,36),(50,39),(50,51),(51,10),(51,37),(51,38),(52,31),(52,33),(52,50)],53)
100110011001=>([(0,3),(0,4),(1,37),(1,38),(2,39),(2,40),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,23),(12,24),(13,21),(13,23),(14,22),(14,24),(15,21),(15,22),(16,25),(16,26),(17,13),(17,15),(18,14),(18,15),(19,12),(19,13),(20,12),(20,14),(21,16),(21,34),(22,16),(22,35),(23,34),(23,36),(24,35),(24,36),(25,8),(25,27),(26,9),(26,27),(27,10),(27,11),(28,17),(28,18),(29,17),(29,19),(30,18),(30,20),(31,19),(31,20),(32,37),(32,39),(33,38),(33,40),(34,7),(34,25),(35,6),(35,26),(36,6),(36,7),(37,29),(37,31),(38,30),(38,31),(39,28),(39,29),(40,28),(40,30)],41)
100110000111=>([(0,6),(0,7),(1,24),(2,4),(2,53),(2,54),(3,1),(3,52),(3,55),(4,5),(4,42),(4,43),(5,27),(5,28),(6,2),(6,38),(6,39),(7,3),(7,38),(7,39),(9,20),(10,21),(11,22),(12,23),(13,14),(14,15),(15,18),(16,19),(17,16),(18,11),(19,12),(20,17),(21,13),(22,8),(23,8),(24,9),(25,33),(25,34),(26,35),(26,36),(27,32),(27,45),(28,25),(28,32),(29,25),(29,31),(30,31),(30,44),(31,33),(31,49),(32,34),(32,48),(33,26),(33,46),(34,26),(34,47),(35,11),(35,37),(36,12),(36,37),(37,22),(37,23),(38,52),(38,53),(39,54),(39,55),(40,30),(40,51),(41,29),(41,30),(42,28),(42,29),(43,27),(43,50),(44,14),(44,49),(45,17),(45,48),(46,18),(46,35),(47,19),(47,36),(48,16),(48,47),(49,15),(49,46),(50,20),(50,45),(51,13),(51,44),(52,40),(52,41),(53,10),(53,41),(53,42),(54,10),(54,43),(54,56),(55,24),(55,40),(55,56),(56,9),(56,21),(56,50),(56,51)],57)
100110000001=>([(0,7),(0,8),(1,37),(1,38),(2,5),(2,52),(2,53),(3,23),(3,49),(4,6),(4,22),(4,48),(5,4),(5,25),(5,51),(6,3),(6,24),(6,50),(7,2),(7,39),(7,40),(8,1),(8,39),(8,40),(10,19),(11,14),(12,20),(13,21),(14,16),(15,17),(16,15),(17,18),(18,12),(19,13),(20,9),(21,9),(22,24),(23,10),(24,23),(25,22),(26,32),(26,33),(27,31),(27,42),(28,29),(28,35),(29,30),(29,44),(30,26),(30,43),(31,29),(31,45),(32,13),(32,34),(33,12),(33,34),(34,20),(34,21),(35,30),(35,36),(36,26),(36,46),(37,27),(37,47),(38,27),(38,41),(39,38),(39,52),(40,37),(40,53),(41,28),(41,31),(42,16),(42,45),(43,18),(43,33),(44,17),(44,43),(45,15),(45,44),(46,19),(46,32),(47,14),(47,42),(48,35),(48,50),(49,10),(49,46),(50,36),(50,49),(51,28),(51,48),(52,11),(52,41),(52,51),(53,11),(53,25),(53,47)],54)
100110001101=>([(0,4),(0,5),(1,46),(1,53),(2,3),(2,51),(2,52),(3,38),(3,39),(4,1),(4,47),(4,48),(5,2),(5,47),(5,48),(7,19),(8,13),(9,22),(10,23),(11,15),(12,16),(13,14),(14,20),(15,17),(16,18),(17,9),(18,10),(19,21),(20,11),(21,12),(22,6),(23,6),(24,25),(24,26),(25,27),(25,42),(26,27),(26,43),(27,34),(27,35),(28,24),(28,33),(29,24),(29,32),(30,32),(30,44),(31,33),(31,45),(32,25),(32,40),(33,26),(33,41),(34,9),(34,36),(35,10),(35,36),(36,22),(36,23),(37,28),(37,31),(38,28),(38,29),(39,29),(39,30),(40,15),(40,42),(41,16),(41,43),(42,17),(42,34),(43,18),(43,35),(44,11),(44,40),(45,12),(45,41),(46,49),(46,50),(47,8),(47,51),(47,53),(48,8),(48,46),(48,52),(49,14),(49,31),(49,54),(50,19),(50,30),(50,54),(51,7),(51,37),(51,38),(52,7),(52,39),(52,50),(53,13),(53,37),(53,49),(54,20),(54,21),(54,44),(54,45)],55)
100110110111=>([(0,4),(0,5),(1,22),(2,23),(2,42),(3,1),(3,43),(3,51),(4,2),(4,46),(4,47),(5,3),(5,46),(5,47),(7,18),(8,15),(9,20),(10,21),(11,16),(12,17),(13,11),(14,13),(15,19),(16,9),(17,10),(18,14),(19,12),(20,6),(21,6),(22,8),(23,7),(24,28),(24,29),(25,48),(25,49),(26,27),(26,31),(27,24),(27,35),(28,10),(28,30),(29,9),(29,30),(30,20),(30,21),(31,24),(31,36),(32,27),(32,39),(33,26),(33,32),(34,25),(34,45),(35,17),(35,28),(36,16),(36,29),(37,18),(37,40),(38,11),(38,36),(39,12),(39,35),(40,14),(40,41),(41,13),(41,38),(42,7),(42,37),(43,25),(43,44),(44,33),(44,40),(44,48),(45,8),(45,33),(45,49),(46,34),(46,42),(46,51),(47,23),(47,34),(47,43),(48,32),(48,41),(48,50),(49,15),(49,26),(49,50),(50,19),(50,31),(50,38),(50,39),(51,22),(51,37),(51,44),(51,45)],52)
100110110001=>([(0,4),(0,5),(1,54),(1,55),(2,3),(2,52),(2,53),(3,7),(3,48),(4,1),(4,50),(4,51),(5,2),(5,50),(5,51),(7,20),(8,12),(9,21),(10,22),(11,14),(12,11),(13,15),(14,16),(15,18),(16,19),(17,13),(18,9),(19,10),(20,17),(21,6),(22,6),(23,30),(23,31),(24,26),(24,27),(25,24),(25,28),(26,23),(26,42),(27,23),(27,43),(28,27),(28,46),(29,26),(29,44),(30,9),(30,32),(31,10),(31,32),(32,21),(32,22),(33,37),(33,38),(34,24),(34,29),(35,28),(35,40),(36,29),(36,45),(37,25),(37,35),(38,25),(38,34),(39,36),(39,41),(40,14),(40,46),(41,17),(41,45),(42,18),(42,30),(43,19),(43,31),(44,15),(44,42),(45,13),(45,44),(46,16),(46,43),(47,11),(47,40),(48,20),(48,41),(49,12),(49,47),(50,33),(50,52),(50,55),(51,33),(51,53),(51,54),(52,8),(52,39),(52,48),(53,7),(53,8),(53,49),(54,38),(54,49),(54,56),(55,37),(55,39),(55,56),(56,34),(56,35),(56,36),(56,47)],57)
100110111101=>([(0,5),(0,6),(1,23),(1,51),(2,3),(2,55),(2,56),(3,4),(3,35),(3,38),(4,30),(4,42),(5,1),(5,53),(5,54),(6,2),(6,53),(6,54),(8,20),(9,17),(10,21),(11,22),(12,14),(13,15),(14,18),(15,19),(16,12),(17,13),(18,10),(19,11),(20,16),(21,7),(22,7),(23,8),(24,32),(24,33),(25,26),(25,27),(26,28),(26,29),(27,28),(27,46),(28,24),(28,44),(29,24),(29,45),(30,27),(30,49),(31,29),(31,47),(32,11),(32,34),(33,10),(33,34),(34,21),(34,22),(35,9),(35,42),(36,25),(36,39),(37,40),(37,43),(38,25),(38,30),(39,26),(39,31),(40,31),(40,48),(41,36),(41,52),(42,17),(42,49),(43,16),(43,48),(44,19),(44,32),(45,18),(45,33),(46,15),(46,44),(47,14),(47,45),(48,12),(48,47),(49,13),(49,46),(50,20),(50,43),(51,8),(51,50),(52,9),(52,39),(52,40),(53,23),(53,41),(53,55),(54,41),(54,51),(54,56),(55,35),(55,37),(55,52),(56,36),(56,37),(56,38),(56,50)],57)
100110100101=>([(0,3),(0,4),(1,50),(1,53),(2,48),(2,49),(3,1),(3,55),(3,56),(4,2),(4,55),(4,56),(6,18),(7,17),(8,19),(9,20),(10,12),(11,13),(12,14),(13,16),(14,15),(15,8),(16,9),(17,10),(18,11),(19,5),(20,5),(21,27),(21,28),(22,31),(22,32),(23,24),(23,36),(24,21),(24,30),(25,21),(25,26),(26,28),(26,44),(27,22),(27,42),(28,22),(28,41),(29,26),(29,45),(30,27),(30,43),(31,8),(31,33),(32,9),(32,33),(33,19),(33,20),(34,6),(34,39),(35,29),(35,39),(36,30),(36,40),(37,24),(37,25),(38,25),(38,29),(39,18),(39,45),(40,12),(40,43),(41,16),(41,32),(42,15),(42,31),(43,14),(43,42),(44,13),(44,41),(45,11),(45,44),(46,17),(46,47),(47,10),(47,40),(48,35),(48,38),(49,34),(49,35),(50,23),(50,51),(51,6),(51,36),(51,47),(52,7),(52,37),(52,38),(53,34),(53,46),(53,51),(54,7),(54,23),(54,37),(54,46),(55,48),(55,50),(55,52),(55,54),(56,49),(56,52),(56,53),(56,54)],57)
100001111111=>([(0,10),(0,11),(1,6),(1,41),(2,26),(3,2),(3,50),(4,3),(4,48),(5,4),(5,49),(6,5),(6,47),(7,9),(7,18),(7,37),(8,24),(8,46),(9,8),(9,25),(9,45),(10,7),(10,15),(10,42),(11,1),(11,15),(11,42),(13,21),(14,16),(15,18),(16,22),(17,23),(18,25),(19,20),(20,17),(21,19),(22,12),(23,12),(24,13),(25,24),(26,14),(27,30),(27,32),(28,27),(28,33),(29,35),(29,38),(30,20),(30,44),(31,14),(31,43),(32,43),(32,44),(33,19),(33,30),(34,22),(34,23),(35,28),(35,36),(36,21),(36,33),(37,29),(37,45),(38,28),(38,40),(39,31),(39,32),(40,27),(40,39),(41,29),(41,47),(42,37),(42,41),(43,16),(43,34),(44,17),(44,34),(45,35),(45,46),(46,13),(46,36),(47,38),(47,49),(48,39),(48,50),(49,40),(49,48),(50,26),(50,31)],51)
100001111001=>([(0,7),(0,8),(1,6),(1,37),(1,38),(2,5),(2,56),(2,57),(3,53),(3,54),(4,24),(4,52),(5,4),(5,25),(5,55),(6,3),(6,50),(6,51),(7,2),(7,39),(7,40),(8,1),(8,39),(8,40),(10,21),(11,16),(12,22),(13,23),(14,15),(15,17),(16,14),(17,20),(18,19),(19,12),(20,13),(21,18),(22,9),(23,9),(24,10),(25,24),(26,31),(26,32),(27,26),(27,44),(28,26),(28,45),(29,30),(29,47),(30,27),(30,42),(31,12),(31,33),(32,13),(32,33),(33,22),(33,23),(34,27),(34,28),(35,30),(35,34),(36,28),(36,43),(37,49),(37,51),(38,41),(38,50),(39,38),(39,56),(40,37),(40,57),(41,29),(41,35),(42,18),(42,44),(43,17),(43,45),(44,19),(44,31),(45,20),(45,32),(46,14),(46,48),(47,21),(47,42),(48,15),(48,43),(49,16),(49,46),(50,35),(50,54),(51,46),(51,53),(52,10),(52,47),(53,36),(53,48),(54,34),(54,36),(55,29),(55,52),(56,11),(56,41),(56,55),(57,11),(57,25),(57,49)],58)
100001100111=>([(0,6),(0,7),(1,24),(2,4),(2,53),(2,54),(3,1),(3,52),(3,55),(4,5),(4,10),(4,42),(5,20),(5,50),(6,2),(6,38),(6,39),(7,3),(7,38),(7,39),(9,21),(10,20),(11,22),(12,23),(13,14),(14,16),(15,18),(16,19),(17,15),(18,11),(19,12),(20,13),(21,17),(22,8),(23,8),(24,9),(25,29),(25,31),(26,33),(26,34),(27,30),(27,44),(28,25),(28,30),(29,26),(29,47),(30,31),(30,49),(31,26),(31,46),(32,29),(32,48),(33,11),(33,35),(34,12),(34,35),(35,22),(35,23),(36,32),(36,45),(37,25),(37,32),(38,52),(38,53),(39,54),(39,55),(40,28),(40,37),(41,27),(41,28),(42,36),(42,50),(43,27),(43,51),(44,17),(44,49),(45,14),(45,48),(46,18),(46,33),(47,19),(47,34),(48,16),(48,47),(49,15),(49,46),(50,13),(50,45),(51,21),(51,44),(52,40),(52,41),(53,10),(53,41),(53,43),(54,42),(54,43),(54,56),(55,24),(55,40),(55,56),(56,9),(56,36),(56,37),(56,51)],57)
100001100001=>([(0,5),(0,6),(1,47),(1,48),(2,3),(2,49),(2,50),(3,4),(3,39),(3,40),(4,26),(4,27),(5,1),(5,41),(5,42),(6,2),(6,41),(6,42),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,21),(19,45),(20,21),(20,46),(21,30),(21,31),(22,18),(22,28),(23,18),(23,29),(24,28),(24,32),(25,29),(25,33),(26,32),(26,34),(27,33),(27,34),(28,19),(28,43),(29,20),(29,44),(30,10),(30,35),(31,11),(31,35),(32,9),(32,43),(33,8),(33,44),(34,8),(34,9),(35,16),(35,17),(36,22),(36,23),(37,22),(37,24),(38,23),(38,25),(39,24),(39,26),(40,25),(40,27),(41,47),(41,49),(42,48),(42,50),(43,14),(43,45),(44,15),(44,46),(45,12),(45,30),(46,13),(46,31),(47,36),(47,37),(48,36),(48,38),(49,37),(49,39),(50,38),(50,40)],51)
100001101101=>([(0,5),(0,6),(1,49),(1,54),(2,3),(2,22),(2,48),(3,4),(3,8),(3,35),(4,19),(4,47),(5,1),(5,51),(5,52),(6,2),(6,51),(6,52),(8,19),(9,16),(10,20),(11,21),(12,13),(13,15),(14,18),(15,17),(16,14),(17,10),(18,11),(19,12),(20,7),(21,7),(22,8),(23,30),(23,31),(24,39),(24,41),(25,27),(25,42),(26,24),(26,53),(27,29),(27,45),(28,23),(28,44),(29,23),(29,43),(30,10),(30,32),(31,11),(31,32),(32,20),(32,21),(33,24),(33,38),(34,25),(34,36),(35,25),(35,47),(36,27),(36,37),(37,28),(37,29),(38,9),(38,41),(39,28),(39,46),(40,26),(40,33),(41,16),(41,46),(42,13),(42,45),(43,17),(43,30),(44,18),(44,31),(45,15),(45,43),(46,14),(46,44),(47,12),(47,42),(48,34),(48,35),(49,26),(49,50),(50,36),(50,38),(50,53),(51,40),(51,48),(51,54),(52,22),(52,40),(52,49),(53,9),(53,37),(53,39),(54,33),(54,34),(54,50)],55)
100000011111=>([(0,10),(0,11),(1,4),(1,38),(2,24),(3,2),(3,48),(4,3),(4,47),(5,9),(5,18),(5,43),(6,26),(6,50),(7,8),(7,25),(7,51),(8,6),(8,27),(8,52),(9,7),(9,28),(9,49),(10,1),(10,15),(10,44),(11,5),(11,15),(11,44),(13,21),(14,20),(15,18),(16,22),(17,23),(18,28),(19,16),(20,17),(21,19),(22,12),(23,12),(24,13),(25,27),(26,14),(27,26),(28,25),(29,21),(29,34),(30,33),(30,34),(31,29),(31,30),(32,37),(32,39),(33,45),(33,46),(34,19),(34,46),(35,13),(35,29),(36,22),(36,23),(37,31),(37,35),(38,32),(38,47),(39,31),(39,41),(40,33),(40,42),(41,30),(41,40),(42,20),(42,45),(43,32),(43,49),(44,38),(44,43),(45,17),(45,36),(46,16),(46,36),(47,37),(47,48),(48,24),(48,35),(49,39),(49,51),(50,14),(50,42),(51,41),(51,52),(52,40),(52,50)],53)
100000011001=>([(0,7),(0,8),(1,37),(1,38),(2,5),(2,52),(2,53),(3,23),(3,49),(4,6),(4,22),(4,48),(5,4),(5,25),(5,51),(6,3),(6,24),(6,50),(7,2),(7,39),(7,40),(8,1),(8,39),(8,40),(10,19),(11,14),(12,20),(13,21),(14,16),(15,17),(16,15),(17,18),(18,12),(19,13),(20,9),(21,9),(22,24),(23,10),(24,23),(25,22),(26,32),(26,33),(27,31),(27,42),(28,29),(28,35),(29,30),(29,44),(30,26),(30,43),(31,29),(31,45),(32,13),(32,34),(33,12),(33,34),(34,20),(34,21),(35,30),(35,36),(36,26),(36,46),(37,27),(37,47),(38,27),(38,41),(39,38),(39,52),(40,37),(40,53),(41,28),(41,31),(42,16),(42,45),(43,18),(43,33),(44,17),(44,43),(45,15),(45,44),(46,19),(46,32),(47,14),(47,42),(48,35),(48,50),(49,10),(49,46),(50,36),(50,49),(51,28),(51,48),(52,11),(52,41),(52,51),(53,11),(53,25),(53,47)],54)
100000000111=>([(0,10),(0,11),(1,2),(1,40),(2,13),(3,9),(3,15),(3,39),(4,26),(4,41),(5,7),(5,30),(5,42),(6,8),(6,27),(6,44),(7,6),(7,28),(7,45),(8,4),(8,29),(8,43),(9,5),(9,25),(9,46),(10,3),(10,16),(10,31),(11,1),(11,16),(11,31),(13,21),(14,24),(15,25),(16,15),(17,19),(18,17),(19,22),(20,18),(21,20),(22,23),(23,12),(24,12),(25,30),(26,14),(27,29),(28,27),(29,26),(30,28),(31,39),(31,40),(32,23),(32,24),(33,20),(33,37),(34,21),(34,33),(35,17),(35,36),(36,19),(36,38),(37,18),(37,35),(38,22),(38,32),(39,34),(39,46),(40,13),(40,34),(41,14),(41,32),(42,37),(42,45),(43,38),(43,41),(44,36),(44,43),(45,35),(45,44),(46,33),(46,42)],47)
100000000001=>([(0,10),(0,11),(1,9),(1,13),(1,14),(2,31),(2,32),(3,4),(3,17),(3,18),(4,6),(4,19),(4,20),(5,3),(5,21),(5,22),(6,8),(6,23),(6,24),(7,5),(7,25),(7,26),(8,2),(8,27),(8,28),(9,7),(9,29),(9,30),(10,15),(10,16),(11,1),(11,15),(11,16),(13,30),(14,29),(15,14),(16,13),(17,19),(18,20),(19,23),(20,24),(21,17),(22,18),(23,27),(24,28),(25,21),(26,22),(27,31),(28,32),(29,25),(30,26),(31,12),(32,12)],33)
100000001101=>([(0,8),(0,9),(1,38),(1,44),(2,4),(2,11),(2,37),(3,25),(3,46),(4,6),(4,24),(4,45),(5,7),(5,26),(5,47),(6,5),(6,28),(6,49),(7,3),(7,27),(7,48),(8,2),(8,50),(8,51),(9,1),(9,50),(9,51),(11,24),(12,15),(13,16),(14,23),(15,22),(16,19),(17,20),(18,17),(19,18),(20,21),(21,14),(22,10),(23,10),(24,28),(25,12),(26,27),(27,25),(28,26),(29,36),(29,43),(30,14),(30,31),(31,22),(31,23),(32,30),(32,33),(33,15),(33,31),(34,35),(34,42),(35,32),(35,40),(36,34),(36,41),(37,29),(37,45),(38,29),(38,39),(39,19),(39,43),(40,21),(40,30),(41,17),(41,42),(42,20),(42,40),(43,18),(43,41),(44,16),(44,39),(45,36),(45,49),(46,12),(46,33),(47,35),(47,48),(48,32),(48,46),(49,34),(49,47),(50,13),(50,37),(50,38),(51,11),(51,13),(51,44)],52)
100000110111=>([(0,7),(0,8),(1,23),(2,1),(2,44),(2,57),(3,5),(3,10),(3,43),(4,25),(4,53),(5,6),(5,24),(5,52),(6,4),(6,26),(6,54),(7,3),(7,55),(7,56),(8,2),(8,55),(8,56),(10,24),(11,20),(12,15),(13,21),(14,22),(15,19),(16,18),(17,16),(18,13),(19,14),(20,17),(21,9),(22,9),(23,11),(24,26),(25,12),(26,25),(27,35),(27,36),(28,29),(28,33),(29,27),(29,46),(30,28),(30,32),(31,34),(31,47),(32,33),(32,50),(33,27),(33,48),(34,32),(34,49),(35,13),(35,37),(36,14),(36,37),(37,21),(37,22),(38,28),(38,39),(39,29),(39,51),(40,30),(40,34),(41,30),(41,38),(42,11),(42,47),(43,41),(43,52),(44,31),(44,40),(45,31),(45,42),(46,19),(46,36),(47,20),(47,49),(48,18),(48,35),(49,17),(49,50),(50,16),(50,48),(51,15),(51,46),(52,38),(52,54),(53,12),(53,51),(54,39),(54,53),(55,10),(55,44),(55,45),(56,43),(56,45),(56,57),(57,23),(57,40),(57,41),(57,42)],58)
100000110001=>([(0,6),(0,7),(1,37),(1,38),(2,5),(2,41),(2,42),(3,21),(3,50),(4,3),(4,22),(4,51),(5,4),(5,52),(5,53),(6,2),(6,39),(6,40),(7,1),(7,39),(7,40),(9,18),(10,13),(11,19),(12,20),(13,14),(14,15),(15,16),(16,12),(17,11),(18,17),(19,8),(20,8),(21,9),(22,21),(23,25),(23,30),(24,26),(24,47),(25,24),(25,46),(26,34),(26,35),(27,23),(27,32),(28,32),(28,49),(29,23),(29,43),(30,24),(30,33),(31,33),(31,48),(32,25),(32,45),(33,26),(33,44),(34,11),(34,36),(35,12),(35,36),(36,19),(36,20),(37,27),(37,28),(38,27),(38,29),(39,38),(39,41),(40,37),(40,42),(41,29),(41,52),(42,28),(42,53),(43,30),(43,31),(44,17),(44,34),(45,14),(45,46),(46,15),(46,47),(47,16),(47,35),(48,18),(48,44),(49,13),(49,45),(50,9),(50,48),(51,31),(51,50),(52,10),(52,43),(52,51),(53,10),(53,22),(53,49)],54)
100000111101=>([(0,8),(0,9),(1,7),(1,41),(1,48),(2,6),(2,11),(2,42),(3,52),(3,55),(4,27),(4,51),(5,4),(5,28),(5,53),(6,5),(6,26),(6,50),(7,3),(7,49),(7,54),(8,1),(8,56),(8,57),(9,2),(9,56),(9,57),(11,26),(12,23),(13,18),(14,24),(15,25),(16,17),(17,20),(18,19),(19,16),(20,21),(21,15),(22,14),(23,22),(24,10),(25,10),(26,28),(27,12),(28,27),(29,30),(29,45),(30,34),(30,35),(31,29),(31,33),(32,37),(32,38),(33,30),(33,44),(34,14),(34,36),(35,15),(35,36),(36,24),(36,25),(37,31),(37,39),(38,31),(38,40),(39,33),(39,46),(40,29),(40,43),(41,32),(41,49),(42,32),(42,50),(43,20),(43,45),(44,22),(44,34),(45,21),(45,35),(46,23),(46,44),(47,17),(47,43),(48,18),(48,54),(49,38),(49,52),(50,37),(50,53),(51,12),(51,46),(52,40),(52,47),(53,39),(53,51),(54,19),(54,55),(55,16),(55,47),(56,13),(56,41),(56,42),(57,11),(57,13),(57,48)],58)
100000100101=>([(0,5),(0,6),(1,4),(1,50),(1,51),(2,23),(2,46),(3,2),(3,22),(3,45),(4,3),(4,24),(4,47),(5,48),(5,49),(6,1),(6,48),(6,49),(8,18),(9,13),(10,20),(11,21),(12,14),(13,19),(14,15),(15,16),(16,11),(17,10),(18,17),(19,12),(20,7),(21,7),(22,23),(23,8),(24,22),(25,27),(25,42),(26,25),(26,41),(27,31),(27,32),(28,25),(28,29),(29,27),(29,39),(30,26),(30,40),(31,10),(31,33),(32,11),(32,33),(33,20),(33,21),(34,29),(34,43),(35,28),(35,34),(36,26),(36,28),(37,30),(37,36),(38,30),(38,44),(39,17),(39,31),(40,14),(40,41),(41,15),(41,42),(42,16),(42,32),(43,18),(43,39),(44,12),(44,40),(45,34),(45,46),(46,8),(46,43),(47,35),(47,45),(48,9),(48,51),(48,52),(49,9),(49,50),(49,52),(50,24),(50,37),(50,38),(51,38),(51,47),(51,53),(52,13),(52,37),(52,53),(53,19),(53,35),(53,36),(53,44)],54)
100011011111=>([(0,7),(0,8),(1,2),(1,52),(2,10),(3,1),(3,42),(4,6),(4,24),(4,53),(5,3),(5,54),(5,57),(6,11),(6,51),(7,4),(7,55),(7,56),(8,5),(8,55),(8,56),(10,21),(11,14),(12,22),(13,23),(14,16),(15,17),(16,15),(17,19),(18,20),(19,12),(20,13),(21,18),(22,9),(23,9),(24,11),(25,31),(25,33),(26,31),(26,44),(27,35),(27,36),(28,25),(28,26),(29,26),(29,50),(30,25),(30,32),(31,27),(31,47),(32,33),(32,49),(33,27),(33,46),(34,32),(34,48),(35,12),(35,37),(36,13),(36,37),(37,22),(37,23),(38,28),(38,30),(39,28),(39,29),(40,34),(40,45),(41,30),(41,34),(42,29),(42,52),(43,38),(43,39),(44,18),(44,47),(45,16),(45,48),(46,19),(46,35),(47,20),(47,36),(48,15),(48,49),(49,17),(49,46),(50,21),(50,44),(51,14),(51,45),(52,10),(52,50),(53,40),(53,51),(54,38),(54,41),(55,24),(55,43),(55,54),(56,43),(56,53),(56,57),(57,39),(57,40),(57,41),(57,42)],58)
100011011001=>([(0,4),(0,5),(1,54),(1,55),(2,3),(2,52),(2,53),(3,7),(3,48),(4,1),(4,50),(4,51),(5,2),(5,50),(5,51),(7,20),(8,12),(9,21),(10,22),(11,14),(12,11),(13,15),(14,16),(15,18),(16,19),(17,13),(18,9),(19,10),(20,17),(21,6),(22,6),(23,30),(23,31),(24,26),(24,27),(25,24),(25,28),(26,23),(26,42),(27,23),(27,43),(28,27),(28,46),(29,26),(29,44),(30,9),(30,32),(31,10),(31,32),(32,21),(32,22),(33,37),(33,38),(34,24),(34,29),(35,28),(35,40),(36,29),(36,45),(37,25),(37,35),(38,25),(38,34),(39,36),(39,41),(40,14),(40,46),(41,17),(41,45),(42,18),(42,30),(43,19),(43,31),(44,15),(44,42),(45,13),(45,44),(46,16),(46,43),(47,11),(47,40),(48,20),(48,41),(49,12),(49,47),(50,33),(50,52),(50,55),(51,33),(51,53),(51,54),(52,8),(52,39),(52,48),(53,7),(53,8),(53,49),(54,38),(54,49),(54,56),(55,37),(55,39),(55,56),(56,34),(56,35),(56,36),(56,47)],57)
100011000111=>([(0,5),(0,6),(1,20),(2,4),(2,45),(2,46),(3,1),(3,47),(3,51),(4,36),(4,39),(5,2),(5,37),(5,38),(6,3),(6,37),(6,38),(8,17),(9,13),(10,18),(11,19),(12,14),(13,15),(14,10),(15,11),(16,12),(17,16),(18,7),(19,7),(20,8),(21,22),(21,29),(22,23),(22,43),(23,31),(23,32),(24,21),(24,30),(25,21),(25,27),(26,27),(26,50),(27,29),(27,44),(28,30),(28,40),(29,23),(29,41),(30,22),(30,42),(31,10),(31,33),(32,11),(32,33),(33,18),(33,19),(34,24),(34,28),(35,24),(35,25),(36,25),(36,26),(37,46),(37,51),(38,45),(38,47),(39,26),(39,49),(40,9),(40,42),(41,14),(41,31),(42,13),(42,43),(43,15),(43,32),(44,12),(44,41),(45,35),(45,36),(46,39),(46,48),(47,34),(47,35),(48,8),(48,28),(48,49),(49,17),(49,40),(49,50),(50,9),(50,16),(50,44),(51,20),(51,34),(51,48)],52)
100011000001=>([(0,6),(0,7),(1,37),(1,38),(2,5),(2,41),(2,42),(3,21),(3,50),(4,3),(4,22),(4,51),(5,4),(5,52),(5,53),(6,2),(6,39),(6,40),(7,1),(7,39),(7,40),(9,18),(10,13),(11,19),(12,20),(13,14),(14,15),(15,16),(16,12),(17,11),(18,17),(19,8),(20,8),(21,9),(22,21),(23,25),(23,30),(24,26),(24,47),(25,24),(25,46),(26,34),(26,35),(27,23),(27,32),(28,32),(28,49),(29,23),(29,43),(30,24),(30,33),(31,33),(31,48),(32,25),(32,45),(33,26),(33,44),(34,11),(34,36),(35,12),(35,36),(36,19),(36,20),(37,27),(37,28),(38,27),(38,29),(39,38),(39,41),(40,37),(40,42),(41,29),(41,52),(42,28),(42,53),(43,30),(43,31),(44,17),(44,34),(45,14),(45,46),(46,15),(46,47),(47,16),(47,35),(48,18),(48,44),(49,13),(49,45),(50,9),(50,48),(51,31),(51,50),(52,10),(52,43),(52,51),(53,10),(53,22),(53,49)],54)
100011001101=>([(0,4),(0,5),(1,46),(1,53),(2,3),(2,51),(2,52),(3,7),(3,42),(4,1),(4,47),(4,48),(5,2),(5,47),(5,48),(7,20),(8,14),(9,22),(10,23),(11,16),(12,17),(13,11),(14,15),(15,21),(16,18),(17,19),(18,9),(19,10),(20,13),(21,12),(22,6),(23,6),(24,25),(24,28),(25,26),(25,40),(26,31),(26,32),(27,24),(27,30),(28,26),(28,41),(29,24),(29,36),(30,25),(30,38),(31,10),(31,33),(32,9),(32,33),(33,22),(33,23),(34,27),(34,37),(35,27),(35,29),(36,28),(36,39),(37,30),(37,44),(38,17),(38,40),(39,16),(39,41),(40,19),(40,31),(41,18),(41,32),(42,20),(42,45),(43,11),(43,39),(44,12),(44,38),(45,13),(45,43),(46,49),(46,50),(47,8),(47,51),(47,53),(48,8),(48,46),(48,52),(49,37),(49,45),(49,54),(50,15),(50,29),(50,54),(51,7),(51,34),(51,35),(52,34),(52,42),(52,49),(53,14),(53,35),(53,50),(54,21),(54,36),(54,43),(54,44)],55)
100011110111=>([(0,6),(0,7),(1,4),(1,9),(1,40),(2,5),(2,39),(2,56),(3,52),(3,53),(4,24),(4,50),(5,3),(5,51),(5,57),(6,1),(6,54),(6,55),(7,2),(7,54),(7,55),(9,24),(10,21),(11,14),(12,22),(13,23),(14,15),(15,16),(16,19),(17,20),(18,17),(19,12),(20,13),(21,18),(22,8),(23,8),(24,11),(25,29),(25,30),(26,33),(26,42),(27,25),(27,44),(28,25),(28,45),(29,12),(29,31),(30,13),(30,31),(31,22),(31,23),(32,34),(32,43),(33,35),(33,48),(34,27),(34,47),(35,28),(35,46),(36,27),(36,28),(37,32),(37,49),(38,10),(38,42),(39,26),(39,51),(40,37),(40,50),(41,26),(41,38),(42,21),(42,48),(43,15),(43,47),(44,19),(44,29),(45,20),(45,30),(46,17),(46,45),(47,16),(47,44),(48,18),(48,46),(49,14),(49,43),(50,11),(50,49),(51,33),(51,53),(52,34),(52,36),(53,35),(53,36),(54,40),(54,41),(54,56),(55,9),(55,39),(55,41),(56,37),(56,38),(56,57),(57,10),(57,32),(57,52)],58)
100011110001=>([(0,6),(0,7),(1,4),(1,37),(1,38),(2,5),(2,39),(2,40),(3,53),(3,54),(4,49),(4,50),(5,3),(5,51),(5,52),(6,1),(6,41),(6,42),(7,2),(7,41),(7,42),(9,18),(10,17),(11,19),(12,20),(13,15),(14,16),(15,11),(16,12),(17,13),(18,14),(19,8),(20,8),(21,26),(21,27),(22,29),(22,33),(23,30),(23,34),(24,21),(24,45),(25,21),(25,46),(26,11),(26,28),(27,12),(27,28),(28,19),(28,20),(29,31),(29,43),(30,32),(30,44),(31,24),(31,47),(32,25),(32,48),(33,10),(33,43),(34,9),(34,44),(35,24),(35,25),(36,9),(36,10),(37,22),(37,49),(38,23),(38,50),(39,22),(39,51),(40,23),(40,52),(41,37),(41,39),(42,38),(42,40),(43,17),(43,47),(44,18),(44,48),(45,15),(45,26),(46,16),(46,27),(47,13),(47,45),(48,14),(48,46),(49,33),(49,36),(50,34),(50,36),(51,29),(51,53),(52,30),(52,54),(53,31),(53,35),(54,32),(54,35)],55)
100011111101=>([(0,8),(0,9),(1,7),(1,37),(1,44),(2,4),(2,11),(2,38),(3,47),(3,53),(4,28),(4,45),(5,6),(5,49),(5,52),(6,3),(6,48),(6,51),(7,5),(7,46),(7,50),(8,1),(8,54),(8,55),(9,2),(9,54),(9,55),(11,28),(12,25),(13,17),(14,26),(15,27),(16,23),(17,19),(18,20),(19,18),(20,16),(21,24),(22,21),(23,15),(24,14),(25,22),(26,10),(27,10),(28,12),(29,34),(29,43),(30,15),(30,32),(31,14),(31,32),(32,26),(32,27),(33,30),(33,31),(34,36),(34,39),(35,33),(35,40),(36,35),(36,41),(37,29),(37,46),(38,29),(38,45),(39,22),(39,41),(40,24),(40,31),(41,21),(41,40),(42,23),(42,30),(43,25),(43,39),(44,17),(44,50),(45,12),(45,43),(46,34),(46,49),(47,33),(47,42),(48,35),(48,47),(49,36),(49,48),(50,19),(50,52),(51,20),(51,53),(52,18),(52,51),(53,16),(53,42),(54,13),(54,37),(54,38),(55,11),(55,13),(55,44)],56)
100011100101=>([(0,5),(0,6),(1,3),(1,54),(1,55),(2,4),(2,56),(2,59),(3,39),(3,40),(4,9),(4,52),(5,1),(5,57),(5,58),(6,2),(6,57),(6,58),(8,22),(9,13),(10,23),(11,24),(12,17),(13,16),(14,18),(15,19),(16,14),(17,15),(18,20),(19,21),(20,10),(21,11),(22,12),(23,7),(24,7),(25,31),(25,32),(26,35),(26,36),(27,25),(27,30),(28,25),(28,29),(29,31),(29,49),(30,32),(30,48),(31,26),(31,46),(32,26),(32,45),(33,29),(33,50),(34,30),(34,47),(35,11),(35,37),(36,10),(36,37),(37,23),(37,24),(38,33),(38,43),(39,28),(39,33),(40,27),(40,28),(41,34),(41,44),(42,27),(42,34),(43,16),(43,50),(44,17),(44,47),(45,21),(45,35),(46,20),(46,36),(47,15),(47,48),(48,19),(48,45),(49,18),(49,46),(50,14),(50,49),(51,12),(51,44),(52,13),(52,43),(53,22),(53,51),(54,40),(54,42),(55,38),(55,39),(56,9),(56,41),(56,42),(57,8),(57,53),(57,55),(57,59),(58,8),(58,53),(58,54),(58,56),(59,38),(59,41),(59,51),(59,52)],60)
100010010111=>([(0,5),(0,6),(1,2),(1,51),(2,8),(3,4),(3,54),(3,55),(4,9),(4,49),(5,1),(5,52),(5,57),(6,3),(6,52),(6,57),(8,21),(9,12),(10,22),(11,23),(12,13),(13,15),(14,16),(15,17),(16,19),(17,20),(18,14),(19,10),(20,11),(21,18),(22,7),(23,7),(24,31),(24,32),(25,28),(25,29),(26,25),(26,27),(27,28),(27,47),(28,24),(28,44),(29,24),(29,43),(30,29),(30,45),(31,10),(31,33),(32,11),(32,33),(33,22),(33,23),(34,26),(34,35),(35,25),(35,30),(36,27),(36,41),(37,30),(37,46),(38,37),(38,42),(39,26),(39,36),(40,38),(40,48),(41,15),(41,47),(42,18),(42,46),(43,19),(43,31),(44,20),(44,32),(45,16),(45,43),(46,14),(46,45),(47,17),(47,44),(48,21),(48,42),(49,12),(49,50),(50,13),(50,41),(51,8),(51,48),(52,40),(52,53),(52,55),(53,38),(53,39),(53,56),(54,34),(54,49),(54,56),(55,9),(55,34),(55,39),(56,35),(56,36),(56,37),(56,50),(57,40),(57,51),(57,53),(57,54)],58)
100010010001=>([(0,3),(0,4),(1,2),(1,46),(1,47),(2,27),(2,28),(3,29),(3,30),(4,1),(4,29),(4,30),(6,15),(7,14),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,11),(16,5),(17,5),(18,22),(18,23),(19,18),(19,40),(20,18),(20,41),(21,19),(21,20),(22,8),(22,25),(23,9),(23,25),(24,6),(24,7),(25,16),(25,17),(26,34),(26,35),(27,24),(27,36),(28,24),(28,37),(29,33),(29,46),(30,33),(30,47),(31,19),(31,38),(32,20),(32,39),(33,44),(33,45),(34,21),(34,32),(35,21),(35,31),(36,7),(36,42),(37,6),(37,43),(38,10),(38,40),(39,11),(39,41),(40,12),(40,22),(41,13),(41,23),(42,14),(42,38),(43,15),(43,39),(44,34),(44,36),(44,48),(45,35),(45,37),(45,48),(46,26),(46,27),(46,44),(47,26),(47,28),(47,45),(48,31),(48,32),(48,42),(48,43)],49)
100010011101=>([(0,5),(0,6),(1,3),(1,54),(1,55),(2,4),(2,56),(2,59),(3,40),(3,52),(4,9),(4,53),(5,1),(5,57),(5,58),(6,2),(6,57),(6,58),(8,22),(9,13),(10,23),(11,24),(12,17),(13,16),(14,18),(15,19),(16,14),(17,15),(18,20),(19,21),(20,10),(21,11),(22,12),(23,7),(24,7),(25,31),(25,32),(26,35),(26,36),(27,25),(27,29),(28,25),(28,30),(29,31),(29,49),(30,32),(30,50),(31,26),(31,46),(32,26),(32,47),(33,29),(33,48),(34,30),(34,51),(35,11),(35,37),(36,10),(36,37),(37,23),(37,24),(38,34),(38,44),(39,27),(39,33),(40,33),(40,45),(41,38),(41,42),(42,28),(42,34),(43,27),(43,28),(44,16),(44,51),(45,17),(45,48),(46,21),(46,35),(47,20),(47,36),(48,15),(48,49),(49,19),(49,46),(50,18),(50,47),(51,14),(51,50),(52,12),(52,45),(53,13),(53,44),(54,39),(54,40),(55,22),(55,52),(56,9),(56,42),(56,43),(57,8),(57,41),(57,54),(57,59),(58,8),(58,41),(58,55),(58,56),(59,38),(59,39),(59,43),(59,53)],60)
100010000101=>([(0,4),(0,5),(1,3),(1,35),(1,36),(2,43),(2,44),(3,2),(3,49),(3,50),(4,45),(4,46),(5,1),(5,45),(5,46),(7,20),(8,13),(9,21),(10,22),(11,15),(12,16),(13,14),(14,19),(15,17),(16,18),(17,9),(18,10),(19,12),(20,11),(21,6),(22,6),(23,29),(23,30),(24,23),(24,40),(25,23),(25,39),(26,27),(26,32),(27,28),(27,41),(28,24),(28,38),(29,10),(29,31),(30,9),(30,31),(31,21),(31,22),(32,28),(32,33),(33,24),(33,25),(34,25),(34,37),(35,47),(35,50),(36,26),(36,49),(37,16),(37,39),(38,15),(38,40),(39,18),(39,29),(40,17),(40,30),(41,11),(41,38),(42,12),(42,37),(43,34),(43,42),(44,33),(44,34),(45,8),(45,36),(45,48),(46,8),(46,35),(46,48),(47,14),(47,27),(47,51),(48,13),(48,26),(48,47),(49,7),(49,32),(49,44),(50,7),(50,43),(50,51),(51,19),(51,20),(51,41),(51,42)],52)
100010110101=>([(0,4),(0,5),(1,50),(1,51),(2,3),(2,22),(2,52),(3,7),(3,49),(4,1),(4,56),(4,57),(5,2),(5,56),(5,57),(7,19),(8,16),(9,20),(10,21),(11,13),(12,14),(13,17),(14,18),(15,11),(16,12),(17,9),(18,10),(19,15),(20,6),(21,6),(22,7),(23,31),(23,32),(24,25),(24,26),(25,27),(25,28),(26,27),(26,45),(27,23),(27,43),(28,23),(28,44),(29,26),(29,48),(30,28),(30,46),(31,10),(31,33),(32,9),(32,33),(33,20),(33,21),(34,29),(34,41),(35,24),(35,37),(36,24),(36,29),(37,25),(37,30),(38,8),(38,41),(39,30),(39,47),(40,39),(40,42),(41,16),(41,48),(42,15),(42,47),(43,18),(43,31),(44,17),(44,32),(45,14),(45,43),(46,13),(46,44),(47,11),(47,46),(48,12),(48,45),(49,19),(49,42),(50,35),(50,36),(51,34),(51,36),(52,40),(52,49),(53,38),(53,40),(53,54),(54,8),(54,37),(54,39),(55,34),(55,35),(55,38),(55,54),(56,50),(56,52),(56,53),(56,55),(57,22),(57,51),(57,53),(57,55)],58)
101101111111=>([(0,7),(0,8),(1,5),(1,36),(2,20),(3,4),(3,44),(4,2),(4,45),(5,3),(5,43),(6,1),(6,32),(6,46),(7,41),(7,42),(8,6),(8,41),(8,42),(10,13),(11,16),(12,19),(13,18),(14,15),(15,17),(16,14),(17,12),(18,9),(19,9),(20,10),(21,13),(21,28),(22,21),(22,26),(23,35),(23,37),(24,22),(24,38),(25,24),(25,39),(26,12),(26,28),(27,10),(27,21),(28,18),(28,19),(29,23),(29,47),(30,22),(30,27),(31,24),(31,30),(32,23),(32,34),(33,25),(33,31),(34,11),(34,37),(35,25),(35,40),(36,33),(36,43),(37,16),(37,40),(38,17),(38,26),(39,15),(39,38),(40,14),(40,39),(41,29),(41,32),(42,29),(42,46),(43,31),(43,44),(44,30),(44,45),(45,20),(45,27),(46,34),(46,36),(46,47),(47,11),(47,33),(47,35)],48)
101101111001=>([(0,5),(0,6),(1,23),(1,51),(2,3),(2,55),(2,56),(3,4),(3,35),(3,38),(4,25),(4,30),(5,1),(5,53),(5,54),(6,2),(6,53),(6,54),(8,20),(9,17),(10,21),(11,22),(12,14),(13,15),(14,18),(15,19),(16,12),(17,13),(18,10),(19,11),(20,16),(21,7),(22,7),(23,8),(24,32),(24,33),(25,26),(25,27),(26,28),(26,29),(27,28),(27,46),(28,24),(28,44),(29,24),(29,45),(30,27),(30,49),(31,29),(31,47),(32,10),(32,34),(33,11),(33,34),(34,21),(34,22),(35,25),(35,39),(36,40),(36,43),(37,9),(37,43),(38,30),(38,42),(39,26),(39,31),(40,31),(40,48),(41,36),(41,52),(42,16),(42,49),(43,17),(43,48),(44,18),(44,32),(45,19),(45,33),(46,14),(46,44),(47,15),(47,45),(48,13),(48,47),(49,12),(49,46),(50,20),(50,42),(51,8),(51,50),(52,9),(52,39),(52,40),(53,23),(53,41),(53,55),(54,41),(54,51),(54,56),(55,35),(55,37),(55,52),(56,36),(56,37),(56,38),(56,50)],57)
101101100111=>([(0,4),(0,5),(1,20),(2,47),(2,48),(3,1),(3,53),(3,54),(4,2),(4,49),(4,50),(5,3),(5,49),(5,50),(7,17),(8,14),(9,18),(10,19),(11,15),(12,16),(13,11),(14,12),(15,9),(16,10),(17,13),(18,6),(19,6),(20,7),(21,27),(21,28),(22,38),(22,40),(23,24),(23,44),(24,25),(24,45),(25,21),(25,42),(26,21),(26,43),(27,9),(27,29),(28,10),(28,29),(29,18),(29,19),(30,22),(30,37),(31,23),(31,35),(32,23),(32,41),(33,22),(33,52),(34,7),(34,41),(35,24),(35,36),(36,25),(36,26),(37,8),(37,40),(38,26),(38,46),(39,30),(39,33),(40,14),(40,46),(41,17),(41,44),(42,15),(42,27),(43,16),(43,28),(44,13),(44,45),(45,11),(45,42),(46,12),(46,43),(47,31),(47,32),(48,32),(48,34),(49,39),(49,47),(49,53),(50,39),(50,48),(50,54),(51,35),(51,37),(51,52),(52,8),(52,36),(52,38),(53,30),(53,31),(53,51),(54,20),(54,33),(54,34),(54,51)],55)
101101100001=>([(0,5),(0,6),(1,49),(1,54),(2,3),(2,22),(2,48),(3,4),(3,8),(3,35),(4,19),(4,47),(5,1),(5,51),(5,52),(6,2),(6,51),(6,52),(8,19),(9,16),(10,20),(11,21),(12,13),(13,15),(14,18),(15,17),(16,14),(17,10),(18,11),(19,12),(20,7),(21,7),(22,8),(23,30),(23,31),(24,39),(24,41),(25,27),(25,42),(26,24),(26,53),(27,29),(27,45),(28,23),(28,44),(29,23),(29,43),(30,10),(30,32),(31,11),(31,32),(32,20),(32,21),(33,24),(33,38),(34,25),(34,36),(35,25),(35,47),(36,27),(36,37),(37,28),(37,29),(38,9),(38,41),(39,28),(39,46),(40,26),(40,33),(41,16),(41,46),(42,13),(42,45),(43,17),(43,30),(44,18),(44,31),(45,15),(45,43),(46,14),(46,44),(47,12),(47,42),(48,34),(48,35),(49,26),(49,50),(50,36),(50,38),(50,53),(51,40),(51,48),(51,54),(52,22),(52,40),(52,49),(53,9),(53,37),(53,39),(54,33),(54,34),(54,50)],55)
101101101101=>([(0,2),(0,3),(1,26),(1,27),(2,31),(2,32),(3,1),(3,31),(3,32),(5,8),(6,7),(7,4),(8,4),(9,15),(9,17),(10,16),(10,17),(11,15),(11,16),(12,9),(12,11),(13,10),(13,11),(14,9),(14,10),(15,21),(15,23),(16,22),(16,23),(17,21),(17,22),(18,12),(18,14),(19,13),(19,14),(20,12),(20,13),(21,28),(21,30),(22,29),(22,30),(23,28),(23,29),(24,7),(24,8),(25,18),(25,19),(26,18),(26,20),(27,19),(27,20),(28,6),(28,24),(29,5),(29,24),(30,5),(30,6),(31,25),(31,26),(32,25),(32,27)],33)
101100011111=>([(0,7),(0,8),(1,2),(1,51),(2,10),(3,1),(3,42),(4,6),(4,52),(4,54),(5,3),(5,53),(5,57),(6,39),(6,40),(7,4),(7,55),(7,56),(8,5),(8,55),(8,56),(10,21),(11,22),(12,23),(13,24),(14,16),(15,17),(16,15),(17,19),(18,20),(19,12),(20,13),(21,18),(22,14),(23,9),(24,9),(25,31),(25,33),(26,31),(26,43),(27,35),(27,36),(28,25),(28,32),(29,25),(29,26),(30,26),(30,49),(31,27),(31,46),(32,33),(32,48),(33,27),(33,45),(34,32),(34,47),(35,12),(35,37),(36,13),(36,37),(37,23),(37,24),(38,34),(38,44),(39,28),(39,34),(40,28),(40,29),(41,29),(41,30),(42,30),(42,51),(43,18),(43,46),(44,16),(44,47),(45,19),(45,35),(46,20),(46,36),(47,15),(47,48),(48,17),(48,45),(49,21),(49,43),(50,14),(50,44),(51,10),(51,49),(52,38),(52,39),(53,38),(53,50),(54,40),(54,41),(55,11),(55,52),(55,53),(56,11),(56,54),(56,57),(57,22),(57,41),(57,42),(57,50)],58)
101100011001=>([(0,4),(0,5),(1,46),(1,53),(2,3),(2,51),(2,52),(3,38),(3,39),(4,1),(4,47),(4,48),(5,2),(5,47),(5,48),(7,19),(8,13),(9,22),(10,23),(11,15),(12,16),(13,14),(14,20),(15,17),(16,18),(17,9),(18,10),(19,21),(20,11),(21,12),(22,6),(23,6),(24,25),(24,26),(25,27),(25,42),(26,27),(26,43),(27,34),(27,35),(28,24),(28,33),(29,24),(29,32),(30,32),(30,44),(31,33),(31,45),(32,25),(32,40),(33,26),(33,41),(34,9),(34,36),(35,10),(35,36),(36,22),(36,23),(37,28),(37,31),(38,28),(38,29),(39,29),(39,30),(40,15),(40,42),(41,16),(41,43),(42,17),(42,34),(43,18),(43,35),(44,11),(44,40),(45,12),(45,41),(46,49),(46,50),(47,8),(47,51),(47,53),(48,8),(48,46),(48,52),(49,14),(49,31),(49,54),(50,19),(50,30),(50,54),(51,7),(51,37),(51,38),(52,7),(52,39),(52,50),(53,13),(53,37),(53,49),(54,20),(54,21),(54,44),(54,45)],55)
101100000111=>([(0,7),(0,8),(1,26),(2,1),(2,39),(2,57),(3,5),(3,37),(3,38),(4,51),(4,52),(5,6),(5,49),(5,50),(6,4),(6,53),(6,54),(7,3),(7,55),(7,56),(8,2),(8,55),(8,56),(10,22),(11,23),(12,24),(13,25),(14,21),(15,14),(16,17),(17,18),(18,19),(19,20),(20,12),(21,13),(22,15),(23,16),(24,9),(25,9),(26,10),(27,29),(27,30),(28,32),(28,41),(29,12),(29,31),(30,13),(30,31),(31,24),(31,25),(32,34),(32,43),(33,27),(33,42),(34,33),(34,44),(35,27),(35,40),(36,10),(36,47),(37,28),(37,50),(38,36),(38,49),(39,28),(39,48),(40,21),(40,30),(41,17),(41,43),(42,20),(42,29),(43,18),(43,44),(44,19),(44,42),(45,15),(45,46),(46,14),(46,40),(47,22),(47,45),(48,16),(48,41),(49,47),(49,54),(50,32),(50,53),(51,35),(51,46),(52,33),(52,35),(53,34),(53,52),(54,45),(54,51),(55,11),(55,37),(55,39),(56,11),(56,38),(56,57),(57,23),(57,26),(57,36),(57,48)],58)
101100000001=>([(0,8),(0,9),(1,38),(1,44),(2,4),(2,11),(2,37),(3,25),(3,46),(4,6),(4,24),(4,45),(5,7),(5,26),(5,47),(6,5),(6,28),(6,49),(7,3),(7,27),(7,48),(8,2),(8,50),(8,51),(9,1),(9,50),(9,51),(11,24),(12,15),(13,16),(14,23),(15,22),(16,19),(17,20),(18,17),(19,18),(20,21),(21,14),(22,10),(23,10),(24,28),(25,12),(26,27),(27,25),(28,26),(29,36),(29,43),(30,14),(30,31),(31,22),(31,23),(32,30),(32,33),(33,15),(33,31),(34,35),(34,42),(35,32),(35,40),(36,34),(36,41),(37,29),(37,45),(38,29),(38,39),(39,19),(39,43),(40,21),(40,30),(41,17),(41,42),(42,20),(42,40),(43,18),(43,41),(44,16),(44,39),(45,36),(45,49),(46,12),(46,33),(47,35),(47,48),(48,32),(48,46),(49,34),(49,47),(50,13),(50,37),(50,38),(51,11),(51,13),(51,44)],52)
101100001101=>([(0,5),(0,6),(1,54),(1,55),(2,3),(2,50),(2,51),(3,4),(3,39),(3,40),(4,28),(4,29),(5,1),(5,52),(5,53),(6,2),(6,52),(6,53),(8,21),(9,20),(10,22),(11,23),(12,14),(13,15),(14,16),(15,17),(16,18),(17,19),(18,10),(19,11),(20,12),(21,13),(22,7),(23,7),(24,32),(24,33),(25,34),(25,35),(26,30),(26,43),(27,31),(27,42),(28,24),(28,30),(29,24),(29,31),(30,32),(30,47),(31,33),(31,46),(32,25),(32,45),(33,25),(33,44),(34,10),(34,36),(35,11),(35,36),(36,22),(36,23),(37,26),(37,49),(38,27),(38,48),(39,26),(39,28),(40,27),(40,29),(41,8),(41,9),(42,14),(42,46),(43,15),(43,47),(44,18),(44,34),(45,19),(45,35),(46,16),(46,44),(47,17),(47,45),(48,12),(48,42),(49,13),(49,43),(50,37),(50,39),(51,38),(51,40),(52,41),(52,50),(52,54),(53,41),(53,51),(53,55),(54,9),(54,37),(54,56),(55,8),(55,38),(55,56),(56,20),(56,21),(56,48),(56,49)],57)
101100110111=>([(0,4),(0,5),(1,21),(2,48),(2,49),(3,1),(3,53),(3,55),(4,2),(4,51),(4,52),(5,3),(5,51),(5,52),(7,18),(8,11),(9,19),(10,20),(11,12),(12,13),(13,16),(14,17),(15,14),(16,9),(17,10),(18,15),(19,6),(20,6),(21,7),(22,30),(22,31),(23,26),(23,40),(24,25),(24,26),(25,27),(25,28),(26,28),(26,45),(27,22),(27,43),(28,22),(28,42),(29,27),(29,44),(30,9),(30,32),(31,10),(31,32),(32,19),(32,20),(33,37),(33,47),(34,24),(34,38),(35,23),(35,46),(36,23),(36,24),(37,29),(37,41),(38,25),(38,29),(39,33),(39,50),(40,12),(40,45),(41,15),(41,44),(42,16),(42,30),(43,17),(43,31),(44,14),(44,43),(45,13),(45,42),(46,11),(46,40),(47,18),(47,41),(48,35),(48,36),(49,34),(49,36),(50,7),(50,8),(50,47),(51,39),(51,49),(51,55),(52,39),(52,48),(52,53),(53,33),(53,35),(53,54),(54,8),(54,37),(54,38),(54,46),(55,21),(55,34),(55,50),(55,54)],56)
101100110001=>([(0,4),(0,5),(1,46),(1,53),(2,3),(2,51),(2,52),(3,7),(3,42),(4,1),(4,47),(4,48),(5,2),(5,47),(5,48),(7,20),(8,14),(9,22),(10,23),(11,16),(12,17),(13,11),(14,15),(15,21),(16,18),(17,19),(18,9),(19,10),(20,13),(21,12),(22,6),(23,6),(24,25),(24,28),(25,26),(25,40),(26,31),(26,32),(27,24),(27,30),(28,26),(28,41),(29,24),(29,36),(30,25),(30,38),(31,10),(31,33),(32,9),(32,33),(33,22),(33,23),(34,27),(34,37),(35,27),(35,29),(36,28),(36,39),(37,30),(37,44),(38,17),(38,40),(39,16),(39,41),(40,19),(40,31),(41,18),(41,32),(42,20),(42,45),(43,11),(43,39),(44,12),(44,38),(45,13),(45,43),(46,49),(46,50),(47,8),(47,51),(47,53),(48,8),(48,46),(48,52),(49,37),(49,45),(49,54),(50,15),(50,29),(50,54),(51,7),(51,34),(51,35),(52,34),(52,42),(52,49),(53,14),(53,35),(53,50),(54,21),(54,36),(54,43),(54,44)],55)
101100111101=>([(0,5),(0,6),(1,52),(1,53),(2,3),(2,56),(2,57),(3,4),(3,40),(3,50),(4,32),(4,42),(5,1),(5,54),(5,55),(6,2),(6,54),(6,55),(8,21),(9,20),(10,22),(11,23),(12,15),(13,16),(14,12),(15,18),(16,19),(17,13),(18,10),(19,11),(20,17),(21,14),(22,7),(23,7),(24,30),(24,31),(25,34),(25,35),(26,24),(26,29),(27,24),(27,28),(28,30),(28,48),(29,31),(29,47),(30,25),(30,45),(31,25),(31,44),(32,28),(32,49),(33,29),(33,46),(34,11),(34,36),(35,10),(35,36),(36,22),(36,23),(37,26),(37,33),(38,33),(38,43),(39,26),(39,27),(40,27),(40,32),(41,8),(41,9),(42,14),(42,49),(43,17),(43,46),(44,19),(44,34),(45,18),(45,35),(46,13),(46,47),(47,16),(47,44),(48,15),(48,45),(49,12),(49,48),(50,21),(50,42),(51,20),(51,43),(52,37),(52,38),(53,37),(53,39),(54,41),(54,53),(54,56),(55,41),(55,52),(55,57),(56,9),(56,39),(56,40),(56,51),(57,8),(57,38),(57,50),(57,51)],58)
101100100101=>([(0,3),(0,4),(1,47),(1,51),(2,45),(2,46),(3,1),(3,52),(3,53),(4,2),(4,52),(4,53),(6,19),(7,11),(8,20),(9,21),(10,13),(11,10),(12,14),(13,15),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,29),(22,30),(23,25),(23,26),(24,23),(24,27),(25,22),(25,39),(26,22),(26,40),(27,25),(27,41),(28,26),(28,42),(29,9),(29,31),(30,8),(30,31),(31,20),(31,21),(32,35),(32,37),(33,6),(33,7),(34,27),(34,38),(35,28),(35,43),(36,24),(36,34),(37,16),(37,43),(38,13),(38,41),(39,18),(39,29),(40,17),(40,30),(41,15),(41,39),(42,14),(42,40),(43,12),(43,42),(44,19),(44,37),(45,32),(45,44),(46,6),(46,44),(47,48),(47,50),(48,34),(48,35),(48,54),(49,7),(49,36),(49,50),(50,11),(50,24),(50,54),(51,32),(51,36),(51,48),(52,33),(52,46),(52,47),(52,49),(53,33),(53,45),(53,49),(53,51),(54,10),(54,23),(54,28),(54,38)],55)
101111011111=>([(0,5),(0,6),(1,18),(2,4),(2,34),(2,35),(3,1),(3,45),(3,47),(4,3),(4,43),(4,44),(5,36),(5,37),(6,2),(6,36),(6,37),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,22),(19,26),(20,21),(20,41),(21,28),(21,29),(22,20),(22,27),(23,19),(23,31),(24,23),(24,25),(25,19),(25,38),(26,27),(26,42),(27,21),(27,40),(28,10),(28,30),(29,11),(29,30),(30,16),(30,17),(31,22),(31,32),(32,20),(32,39),(33,8),(33,39),(34,23),(34,43),(35,25),(35,44),(36,24),(36,34),(37,24),(37,35),(38,26),(38,46),(39,15),(39,41),(40,13),(40,28),(41,14),(41,29),(42,12),(42,40),(43,31),(43,45),(44,38),(44,47),(45,32),(45,33),(46,8),(46,9),(46,42),(47,18),(47,33),(47,46)],48)
101111011001=>([(0,5),(0,6),(1,23),(1,51),(2,3),(2,55),(2,56),(3,4),(3,35),(3,38),(4,30),(4,42),(5,1),(5,53),(5,54),(6,2),(6,53),(6,54),(8,20),(9,17),(10,21),(11,22),(12,14),(13,15),(14,18),(15,19),(16,12),(17,13),(18,10),(19,11),(20,16),(21,7),(22,7),(23,8),(24,32),(24,33),(25,26),(25,27),(26,28),(26,29),(27,28),(27,46),(28,24),(28,44),(29,24),(29,45),(30,27),(30,49),(31,29),(31,47),(32,11),(32,34),(33,10),(33,34),(34,21),(34,22),(35,9),(35,42),(36,25),(36,39),(37,40),(37,43),(38,25),(38,30),(39,26),(39,31),(40,31),(40,48),(41,36),(41,52),(42,17),(42,49),(43,16),(43,48),(44,19),(44,32),(45,18),(45,33),(46,15),(46,44),(47,14),(47,45),(48,12),(48,47),(49,13),(49,46),(50,20),(50,43),(51,8),(51,50),(52,9),(52,39),(52,40),(53,23),(53,41),(53,55),(54,41),(54,51),(54,56),(55,35),(55,37),(55,52),(56,36),(56,37),(56,38),(56,50)],57)
101111000111=>([(0,6),(0,7),(1,4),(1,39),(1,40),(2,5),(2,41),(2,56),(3,52),(3,53),(4,49),(4,50),(5,3),(5,51),(5,57),(6,1),(6,54),(6,55),(7,2),(7,54),(7,55),(9,21),(10,14),(11,23),(12,24),(13,17),(14,22),(15,13),(16,19),(17,20),(18,16),(19,11),(20,12),(21,18),(22,15),(23,8),(24,8),(25,31),(25,32),(26,28),(26,29),(27,35),(27,36),(28,25),(28,44),(29,25),(29,45),(30,28),(30,46),(31,11),(31,34),(32,12),(32,34),(33,9),(33,47),(34,23),(34,24),(35,26),(35,30),(36,26),(36,37),(37,29),(37,42),(38,30),(38,43),(39,27),(39,50),(40,33),(40,49),(41,27),(41,51),(42,17),(42,45),(43,18),(43,46),(44,19),(44,31),(45,20),(45,32),(46,16),(46,44),(47,21),(47,43),(48,13),(48,42),(49,38),(49,47),(50,35),(50,38),(51,36),(51,52),(52,37),(52,48),(53,15),(53,48),(54,10),(54,39),(54,41),(55,10),(55,40),(55,56),(56,14),(56,33),(56,57),(57,9),(57,22),(57,53)],58)
101111000001=>([(0,8),(0,9),(1,7),(1,41),(1,48),(2,6),(2,11),(2,42),(3,52),(3,55),(4,27),(4,51),(5,4),(5,28),(5,53),(6,5),(6,26),(6,50),(7,3),(7,49),(7,54),(8,1),(8,56),(8,57),(9,2),(9,56),(9,57),(11,26),(12,23),(13,18),(14,24),(15,25),(16,17),(17,20),(18,19),(19,16),(20,21),(21,15),(22,14),(23,22),(24,10),(25,10),(26,28),(27,12),(28,27),(29,30),(29,45),(30,34),(30,35),(31,29),(31,33),(32,37),(32,38),(33,30),(33,44),(34,14),(34,36),(35,15),(35,36),(36,24),(36,25),(37,31),(37,39),(38,31),(38,40),(39,33),(39,46),(40,29),(40,43),(41,32),(41,49),(42,32),(42,50),(43,20),(43,45),(44,22),(44,34),(45,21),(45,35),(46,23),(46,44),(47,17),(47,43),(48,18),(48,54),(49,38),(49,52),(50,37),(50,53),(51,12),(51,46),(52,40),(52,47),(53,39),(53,51),(54,19),(54,55),(55,16),(55,47),(56,13),(56,41),(56,42),(57,11),(57,13),(57,48)],58)
101111001101=>([(0,5),(0,6),(1,52),(1,53),(2,3),(2,56),(2,57),(3,4),(3,40),(3,50),(4,32),(4,42),(5,1),(5,54),(5,55),(6,2),(6,54),(6,55),(8,21),(9,20),(10,22),(11,23),(12,15),(13,16),(14,12),(15,18),(16,19),(17,13),(18,10),(19,11),(20,17),(21,14),(22,7),(23,7),(24,30),(24,31),(25,34),(25,35),(26,24),(26,29),(27,24),(27,28),(28,30),(28,48),(29,31),(29,47),(30,25),(30,45),(31,25),(31,44),(32,28),(32,49),(33,29),(33,46),(34,11),(34,36),(35,10),(35,36),(36,22),(36,23),(37,26),(37,33),(38,33),(38,43),(39,26),(39,27),(40,27),(40,32),(41,8),(41,9),(42,14),(42,49),(43,17),(43,46),(44,19),(44,34),(45,18),(45,35),(46,13),(46,47),(47,16),(47,44),(48,15),(48,45),(49,12),(49,48),(50,21),(50,42),(51,20),(51,43),(52,37),(52,38),(53,37),(53,39),(54,41),(54,53),(54,56),(55,41),(55,52),(55,57),(56,9),(56,39),(56,40),(56,51),(57,8),(57,38),(57,50),(57,51)],58)
101111110111=>([(0,6),(0,7),(1,5),(1,33),(1,34),(2,44),(2,47),(3,2),(3,45),(3,48),(4,3),(4,43),(4,46),(5,4),(5,41),(5,42),(6,35),(6,36),(7,1),(7,35),(7,36),(9,18),(10,13),(11,19),(12,20),(13,14),(14,16),(15,17),(16,12),(17,11),(18,15),(19,8),(20,8),(21,26),(21,32),(22,26),(22,28),(23,21),(23,22),(24,12),(24,27),(25,11),(25,27),(26,9),(26,37),(27,19),(27,20),(28,31),(28,37),(29,24),(29,25),(30,29),(30,38),(31,30),(31,39),(32,9),(32,10),(33,22),(33,42),(34,21),(34,41),(35,23),(35,33),(36,23),(36,34),(37,18),(37,39),(38,17),(38,25),(39,15),(39,38),(40,16),(40,24),(41,32),(41,43),(42,28),(42,46),(43,10),(43,48),(44,29),(44,40),(45,30),(45,44),(46,31),(46,45),(47,14),(47,40),(48,13),(48,47)],49)
101111110001=>([(0,8),(0,9),(1,7),(1,37),(1,44),(2,4),(2,11),(2,38),(3,47),(3,53),(4,28),(4,45),(5,6),(5,49),(5,52),(6,3),(6,48),(6,51),(7,5),(7,46),(7,50),(8,1),(8,54),(8,55),(9,2),(9,54),(9,55),(11,28),(12,25),(13,17),(14,26),(15,27),(16,23),(17,19),(18,20),(19,18),(20,16),(21,24),(22,21),(23,15),(24,14),(25,22),(26,10),(27,10),(28,12),(29,34),(29,43),(30,15),(30,32),(31,14),(31,32),(32,26),(32,27),(33,30),(33,31),(34,36),(34,39),(35,33),(35,40),(36,35),(36,41),(37,29),(37,46),(38,29),(38,45),(39,22),(39,41),(40,24),(40,31),(41,21),(41,40),(42,23),(42,30),(43,25),(43,39),(44,17),(44,50),(45,12),(45,43),(46,34),(46,49),(47,33),(47,42),(48,35),(48,47),(49,36),(49,48),(50,19),(50,52),(51,20),(51,53),(52,18),(52,51),(53,16),(53,42),(54,13),(54,37),(54,38),(55,11),(55,13),(55,44)],56)
101111111101=>([(0,8),(0,9),(1,7),(1,29),(1,30),(2,33),(2,34),(3,4),(3,35),(3,36),(4,6),(4,39),(4,40),(5,3),(5,37),(5,38),(6,2),(6,43),(6,44),(7,5),(7,41),(7,42),(8,31),(8,32),(9,1),(9,31),(9,32),(11,24),(12,23),(13,25),(14,26),(15,17),(16,18),(17,21),(18,22),(19,15),(20,16),(21,13),(22,14),(23,19),(24,20),(25,10),(26,10),(27,11),(27,12),(28,25),(28,26),(29,12),(29,41),(30,11),(30,42),(31,27),(31,29),(32,27),(32,30),(33,13),(33,28),(34,14),(34,28),(35,15),(35,39),(36,16),(36,40),(37,19),(37,35),(38,20),(38,36),(39,17),(39,43),(40,18),(40,44),(41,23),(41,37),(42,24),(42,38),(43,21),(43,33),(44,22),(44,34)],45)
101111100101=>([(0,6),(0,7),(1,39),(1,40),(2,4),(2,37),(2,38),(3,51),(3,55),(4,5),(4,50),(4,53),(5,3),(5,52),(5,54),(6,2),(6,56),(6,57),(7,1),(7,56),(7,57),(9,21),(10,22),(11,23),(12,24),(13,14),(14,20),(15,13),(16,17),(17,18),(18,19),(19,11),(20,12),(21,15),(22,16),(23,8),(24,8),(25,31),(25,32),(26,27),(26,34),(27,28),(27,46),(28,29),(28,47),(29,25),(29,45),(30,27),(30,48),(31,11),(31,33),(32,12),(32,33),(33,23),(33,24),(34,28),(34,36),(35,25),(35,43),(36,29),(36,35),(37,26),(37,50),(38,9),(38,53),(39,26),(39,30),(40,30),(40,44),(41,10),(41,44),(42,9),(42,10),(43,20),(43,32),(44,22),(44,48),(45,19),(45,31),(46,17),(46,47),(47,18),(47,45),(48,16),(48,46),(49,14),(49,43),(50,34),(50,52),(51,35),(51,49),(52,36),(52,51),(53,21),(53,54),(54,15),(54,55),(55,13),(55,49),(56,38),(56,40),(56,41),(56,42),(57,37),(57,39),(57,41),(57,42)],58)
101110010111=>([(0,4),(0,5),(1,50),(1,51),(2,3),(2,52),(2,53),(3,40),(3,41),(4,1),(4,54),(4,55),(5,2),(5,54),(5,55),(7,16),(8,15),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,12),(16,11),(17,6),(18,6),(19,28),(19,29),(20,30),(20,31),(21,19),(21,26),(22,27),(22,45),(23,19),(23,27),(24,26),(24,44),(25,22),(25,32),(26,28),(26,49),(27,29),(27,48),(28,20),(28,46),(29,20),(29,47),(30,9),(30,35),(31,10),(31,35),(32,8),(32,45),(33,7),(33,44),(34,7),(34,8),(35,17),(35,18),(36,22),(36,23),(37,32),(37,34),(38,21),(38,23),(39,21),(39,24),(40,24),(40,33),(41,33),(41,34),(42,25),(42,36),(43,25),(43,37),(44,16),(44,49),(45,15),(45,48),(46,13),(46,30),(47,14),(47,31),(48,12),(48,47),(49,11),(49,46),(50,38),(50,39),(51,36),(51,38),(52,39),(52,40),(53,37),(53,41),(54,42),(54,43),(54,51),(54,53),(55,42),(55,43),(55,50),(55,52)],56)
101110010001=>([(0,5),(0,6),(1,3),(1,54),(1,55),(2,4),(2,56),(2,59),(3,40),(3,52),(4,9),(4,53),(5,1),(5,57),(5,58),(6,2),(6,57),(6,58),(8,22),(9,13),(10,23),(11,24),(12,17),(13,16),(14,18),(15,19),(16,14),(17,15),(18,20),(19,21),(20,10),(21,11),(22,12),(23,7),(24,7),(25,31),(25,32),(26,35),(26,36),(27,25),(27,29),(28,25),(28,30),(29,31),(29,49),(30,32),(30,50),(31,26),(31,46),(32,26),(32,47),(33,29),(33,48),(34,30),(34,51),(35,11),(35,37),(36,10),(36,37),(37,23),(37,24),(38,34),(38,44),(39,27),(39,33),(40,33),(40,45),(41,38),(41,42),(42,28),(42,34),(43,27),(43,28),(44,16),(44,51),(45,17),(45,48),(46,21),(46,35),(47,20),(47,36),(48,15),(48,49),(49,19),(49,46),(50,18),(50,47),(51,14),(51,50),(52,12),(52,45),(53,13),(53,44),(54,39),(54,40),(55,22),(55,52),(56,9),(56,42),(56,43),(57,8),(57,41),(57,54),(57,59),(58,8),(58,41),(58,55),(58,56),(59,38),(59,39),(59,43),(59,53)],60)
101110011101=>([(0,4),(0,5),(1,46),(1,47),(2,3),(2,52),(2,53),(3,50),(3,51),(4,1),(4,48),(4,49),(5,2),(5,48),(5,49),(7,18),(8,17),(9,21),(10,22),(11,13),(12,14),(13,15),(14,16),(15,9),(16,10),(17,19),(18,20),(19,11),(20,12),(21,6),(22,6),(23,24),(23,25),(24,26),(24,43),(25,26),(25,42),(26,33),(26,34),(27,23),(27,31),(28,23),(28,32),(29,31),(29,45),(30,32),(30,44),(31,24),(31,41),(32,25),(32,40),(33,9),(33,35),(34,10),(34,35),(35,21),(35,22),(36,27),(36,29),(37,28),(37,30),(38,27),(38,28),(39,7),(39,8),(40,13),(40,42),(41,14),(41,43),(42,15),(42,33),(43,16),(43,34),(44,11),(44,40),(45,12),(45,41),(46,36),(46,38),(47,37),(47,38),(48,39),(48,46),(48,52),(49,39),(49,47),(49,53),(50,17),(50,29),(50,54),(51,18),(51,30),(51,54),(52,8),(52,36),(52,50),(53,7),(53,37),(53,51),(54,19),(54,20),(54,44),(54,45)],55)
101110000101=>([(0,6),(0,7),(1,4),(1,37),(1,39),(2,5),(2,38),(2,40),(3,55),(3,56),(4,52),(4,57),(5,3),(5,53),(5,54),(6,1),(6,58),(6,59),(7,2),(7,58),(7,59),(9,21),(10,22),(11,23),(12,24),(13,15),(14,16),(15,18),(16,17),(17,19),(18,20),(19,11),(20,12),(21,14),(22,13),(23,8),(24,8),(25,30),(25,31),(26,27),(26,46),(27,25),(27,47),(28,25),(28,48),(29,33),(29,35),(30,11),(30,32),(31,12),(31,32),(32,23),(32,24),(33,26),(33,34),(34,27),(34,28),(35,26),(35,43),(36,28),(36,44),(37,9),(37,57),(38,29),(38,54),(39,29),(39,52),(40,45),(40,53),(41,10),(41,45),(42,9),(42,10),(43,16),(43,46),(44,18),(44,48),(45,22),(45,51),(46,17),(46,47),(47,19),(47,30),(48,20),(48,31),(49,15),(49,44),(50,14),(50,43),(51,13),(51,49),(52,35),(52,50),(53,51),(53,56),(54,33),(54,55),(55,34),(55,36),(56,36),(56,49),(57,21),(57,50),(58,37),(58,40),(58,41),(58,42),(59,38),(59,39),(59,41),(59,42)],60)
101110110101=>([(0,3),(0,4),(1,2),(1,50),(1,51),(2,31),(2,32),(3,48),(3,49),(4,1),(4,48),(4,49),(6,18),(7,15),(8,19),(9,20),(10,12),(11,13),(12,14),(13,16),(14,17),(15,11),(16,8),(17,9),(18,10),(19,5),(20,5),(21,27),(21,28),(22,23),(22,24),(23,21),(23,41),(24,21),(24,42),(25,23),(25,43),(26,24),(26,44),(27,8),(27,29),(28,9),(28,29),(29,19),(29,20),(30,33),(30,35),(31,7),(31,39),(32,34),(32,39),(33,26),(33,40),(34,25),(34,45),(35,22),(35,26),(36,22),(36,25),(37,6),(37,38),(38,18),(38,46),(39,15),(39,45),(40,12),(40,44),(41,16),(41,27),(42,17),(42,28),(43,13),(43,41),(44,14),(44,42),(45,11),(45,43),(46,10),(46,40),(47,7),(47,35),(47,36),(48,37),(48,51),(48,53),(49,37),(49,50),(49,53),(50,30),(50,32),(50,52),(51,30),(51,31),(51,47),(52,33),(52,34),(52,36),(52,46),(53,6),(53,38),(53,47),(53,52)],54)
101001011111=>([(0,6),(0,7),(1,4),(1,38),(2,22),(3,2),(3,52),(4,3),(4,51),(5,39),(5,40),(6,1),(6,54),(6,56),(7,5),(7,54),(7,56),(9,19),(10,13),(11,20),(12,21),(13,15),(14,16),(15,14),(16,17),(17,12),(18,11),(19,18),(20,8),(21,8),(22,9),(23,29),(23,31),(24,33),(24,34),(25,29),(25,44),(26,32),(26,45),(27,23),(27,30),(28,23),(28,25),(29,24),(29,46),(30,31),(30,49),(31,24),(31,47),(32,30),(32,48),(33,11),(33,36),(34,12),(34,36),(35,9),(35,44),(36,20),(36,21),(37,25),(37,35),(38,42),(38,51),(39,26),(39,41),(40,26),(40,50),(41,27),(41,32),(42,28),(42,37),(43,27),(43,28),(44,19),(44,46),(45,15),(45,48),(46,18),(46,33),(47,17),(47,34),(48,14),(48,49),(49,16),(49,47),(50,13),(50,45),(51,37),(51,52),(52,22),(52,35),(53,10),(53,42),(53,43),(54,40),(54,53),(54,55),(55,10),(55,41),(55,43),(55,50),(56,38),(56,39),(56,53),(56,55)],57)
101001011001=>([(0,3),(0,4),(1,50),(1,53),(2,48),(2,49),(3,1),(3,55),(3,56),(4,2),(4,55),(4,56),(6,18),(7,17),(8,19),(9,20),(10,12),(11,13),(12,14),(13,16),(14,15),(15,8),(16,9),(17,10),(18,11),(19,5),(20,5),(21,27),(21,28),(22,31),(22,32),(23,24),(23,36),(24,21),(24,30),(25,21),(25,26),(26,28),(26,44),(27,22),(27,42),(28,22),(28,41),(29,26),(29,45),(30,27),(30,43),(31,8),(31,33),(32,9),(32,33),(33,19),(33,20),(34,6),(34,39),(35,29),(35,39),(36,30),(36,40),(37,24),(37,25),(38,25),(38,29),(39,18),(39,45),(40,12),(40,43),(41,16),(41,32),(42,15),(42,31),(43,14),(43,42),(44,13),(44,41),(45,11),(45,44),(46,17),(46,47),(47,10),(47,40),(48,35),(48,38),(49,34),(49,35),(50,23),(50,51),(51,6),(51,36),(51,47),(52,7),(52,37),(52,38),(53,34),(53,46),(53,51),(54,7),(54,23),(54,37),(54,46),(55,48),(55,50),(55,52),(55,54),(56,49),(56,52),(56,53),(56,54)],57)
101001000111=>([(0,5),(0,6),(1,2),(1,51),(2,8),(3,4),(3,54),(3,57),(4,40),(4,41),(5,1),(5,52),(5,55),(6,3),(6,52),(6,55),(8,22),(9,13),(10,23),(11,24),(12,16),(13,12),(14,17),(15,18),(16,14),(17,20),(18,21),(19,15),(20,10),(21,11),(22,19),(23,7),(24,7),(25,31),(25,32),(26,35),(26,36),(27,25),(27,30),(28,25),(28,29),(29,31),(29,48),(30,32),(30,47),(31,26),(31,45),(32,26),(32,44),(33,30),(33,46),(34,29),(34,49),(35,10),(35,37),(36,11),(36,37),(37,23),(37,24),(38,27),(38,33),(39,33),(39,43),(40,34),(40,42),(41,28),(41,34),(42,19),(42,49),(43,16),(43,46),(44,20),(44,35),(45,21),(45,36),(46,14),(46,47),(47,17),(47,44),(48,18),(48,45),(49,15),(49,48),(50,22),(50,42),(51,8),(51,50),(52,9),(52,53),(52,54),(53,13),(53,38),(53,56),(54,39),(54,41),(54,56),(55,9),(55,51),(55,53),(55,57),(56,12),(56,27),(56,28),(56,43),(57,38),(57,39),(57,40),(57,50)],58)
101001000001=>([(0,5),(0,6),(1,4),(1,50),(1,51),(2,23),(2,46),(3,2),(3,22),(3,45),(4,3),(4,24),(4,47),(5,48),(5,49),(6,1),(6,48),(6,49),(8,18),(9,13),(10,20),(11,21),(12,14),(13,19),(14,15),(15,16),(16,11),(17,10),(18,17),(19,12),(20,7),(21,7),(22,23),(23,8),(24,22),(25,27),(25,42),(26,25),(26,41),(27,31),(27,32),(28,25),(28,29),(29,27),(29,39),(30,26),(30,40),(31,10),(31,33),(32,11),(32,33),(33,20),(33,21),(34,29),(34,43),(35,28),(35,34),(36,26),(36,28),(37,30),(37,36),(38,30),(38,44),(39,17),(39,31),(40,14),(40,41),(41,15),(41,42),(42,16),(42,32),(43,18),(43,39),(44,12),(44,40),(45,34),(45,46),(46,8),(46,43),(47,35),(47,45),(48,9),(48,51),(48,52),(49,9),(49,50),(49,52),(50,24),(50,37),(50,38),(51,38),(51,47),(51,53),(52,13),(52,37),(52,53),(53,19),(53,35),(53,36),(53,44)],54)
101001001101=>([(0,3),(0,4),(1,47),(1,51),(2,45),(2,46),(3,1),(3,52),(3,53),(4,2),(4,52),(4,53),(6,19),(7,11),(8,20),(9,21),(10,13),(11,10),(12,14),(13,15),(14,17),(15,18),(16,12),(17,8),(18,9),(19,16),(20,5),(21,5),(22,29),(22,30),(23,25),(23,26),(24,23),(24,27),(25,22),(25,39),(26,22),(26,40),(27,25),(27,41),(28,26),(28,42),(29,9),(29,31),(30,8),(30,31),(31,20),(31,21),(32,35),(32,37),(33,6),(33,7),(34,27),(34,38),(35,28),(35,43),(36,24),(36,34),(37,16),(37,43),(38,13),(38,41),(39,18),(39,29),(40,17),(40,30),(41,15),(41,39),(42,14),(42,40),(43,12),(43,42),(44,19),(44,37),(45,32),(45,44),(46,6),(46,44),(47,48),(47,50),(48,34),(48,35),(48,54),(49,7),(49,36),(49,50),(50,11),(50,24),(50,54),(51,32),(51,36),(51,48),(52,33),(52,46),(52,47),(52,49),(53,33),(53,45),(53,49),(53,51),(54,10),(54,23),(54,28),(54,38)],55)
101001110111=>([(0,4),(0,5),(1,50),(1,51),(2,3),(2,52),(2,55),(3,35),(3,53),(4,1),(4,56),(4,57),(5,2),(5,56),(5,57),(7,19),(8,18),(9,20),(10,21),(11,13),(12,14),(13,16),(14,17),(15,11),(16,9),(17,10),(18,15),(19,12),(20,6),(21,6),(22,30),(22,31),(23,24),(23,25),(24,22),(24,43),(25,22),(25,44),(26,28),(26,45),(27,29),(27,48),(28,24),(28,46),(29,25),(29,47),(30,9),(30,32),(31,10),(31,32),(32,20),(32,21),(33,26),(33,37),(34,26),(34,42),(35,27),(35,38),(36,8),(36,49),(37,23),(37,28),(38,23),(38,29),(39,7),(39,41),(40,27),(40,41),(41,19),(41,48),(42,15),(42,45),(43,16),(43,30),(44,17),(44,31),(45,11),(45,46),(46,13),(46,43),(47,14),(47,44),(48,12),(48,47),(49,18),(49,42),(50,34),(50,49),(51,33),(51,34),(52,35),(52,40),(53,7),(53,37),(53,38),(54,8),(54,39),(54,40),(55,33),(55,39),(55,53),(56,36),(56,51),(56,54),(56,55),(57,36),(57,50),(57,52),(57,54)],58)
101001110001=>([(0,5),(0,6),(1,3),(1,54),(1,55),(2,4),(2,56),(2,59),(3,39),(3,40),(4,9),(4,52),(5,1),(5,57),(5,58),(6,2),(6,57),(6,58),(8,22),(9,13),(10,23),(11,24),(12,17),(13,16),(14,18),(15,19),(16,14),(17,15),(18,20),(19,21),(20,10),(21,11),(22,12),(23,7),(24,7),(25,31),(25,32),(26,35),(26,36),(27,25),(27,30),(28,25),(28,29),(29,31),(29,49),(30,32),(30,48),(31,26),(31,46),(32,26),(32,45),(33,29),(33,50),(34,30),(34,47),(35,11),(35,37),(36,10),(36,37),(37,23),(37,24),(38,33),(38,43),(39,28),(39,33),(40,27),(40,28),(41,34),(41,44),(42,27),(42,34),(43,16),(43,50),(44,17),(44,47),(45,21),(45,35),(46,20),(46,36),(47,15),(47,48),(48,19),(48,45),(49,18),(49,46),(50,14),(50,49),(51,12),(51,44),(52,13),(52,43),(53,22),(53,51),(54,40),(54,42),(55,38),(55,39),(56,9),(56,41),(56,42),(57,8),(57,53),(57,55),(57,59),(58,8),(58,53),(58,54),(58,56),(59,38),(59,41),(59,51),(59,52)],60)
101001111101=>([(0,6),(0,7),(1,39),(1,40),(2,4),(2,37),(2,38),(3,51),(3,55),(4,5),(4,50),(4,53),(5,3),(5,52),(5,54),(6,2),(6,56),(6,57),(7,1),(7,56),(7,57),(9,21),(10,22),(11,23),(12,24),(13,14),(14,20),(15,13),(16,17),(17,18),(18,19),(19,11),(20,12),(21,15),(22,16),(23,8),(24,8),(25,31),(25,32),(26,27),(26,34),(27,28),(27,46),(28,29),(28,47),(29,25),(29,45),(30,27),(30,48),(31,11),(31,33),(32,12),(32,33),(33,23),(33,24),(34,28),(34,36),(35,25),(35,43),(36,29),(36,35),(37,26),(37,50),(38,9),(38,53),(39,26),(39,30),(40,30),(40,44),(41,10),(41,44),(42,9),(42,10),(43,20),(43,32),(44,22),(44,48),(45,19),(45,31),(46,17),(46,47),(47,18),(47,45),(48,16),(48,46),(49,14),(49,43),(50,34),(50,52),(51,35),(51,49),(52,36),(52,51),(53,21),(53,54),(54,15),(54,55),(55,13),(55,49),(56,38),(56,40),(56,41),(56,42),(57,37),(57,39),(57,41),(57,42)],58)
101001100101=>([(0,3),(0,4),(1,49),(1,50),(2,51),(2,52),(3,1),(3,54),(3,55),(4,2),(4,54),(4,55),(6,19),(7,18),(8,20),(9,21),(10,12),(11,13),(12,16),(13,17),(14,10),(15,11),(16,8),(17,9),(18,14),(19,15),(20,5),(21,5),(22,28),(22,29),(23,32),(23,33),(24,22),(24,27),(25,22),(25,26),(26,28),(26,43),(27,29),(27,44),(28,23),(28,41),(29,23),(29,42),(30,26),(30,45),(31,27),(31,46),(32,8),(32,34),(33,9),(33,34),(34,20),(34,21),(35,24),(35,25),(36,6),(36,7),(37,24),(37,31),(38,25),(38,30),(39,14),(39,45),(40,15),(40,46),(41,16),(41,32),(42,17),(42,33),(43,12),(43,41),(44,13),(44,42),(45,10),(45,43),(46,11),(46,44),(47,18),(47,39),(48,19),(48,40),(49,35),(49,37),(50,35),(50,38),(51,37),(51,47),(51,56),(52,38),(52,48),(52,56),(53,6),(53,7),(53,47),(53,48),(54,36),(54,49),(54,51),(54,53),(55,36),(55,50),(55,52),(55,53),(56,30),(56,31),(56,39),(56,40)],57)
101000010111=>([(0,6),(0,7),(1,2),(1,50),(2,9),(3,5),(3,37),(3,39),(4,53),(4,54),(5,4),(5,51),(5,52),(6,3),(6,55),(6,57),(7,1),(7,55),(7,57),(9,22),(10,19),(11,23),(12,24),(13,14),(14,17),(15,16),(16,20),(17,21),(18,15),(19,13),(20,11),(21,12),(22,18),(23,8),(24,8),(25,31),(25,32),(26,30),(26,34),(27,28),(27,46),(28,25),(28,43),(29,25),(29,44),(30,27),(30,45),(31,11),(31,33),(32,12),(32,33),(33,23),(33,24),(34,27),(34,35),(35,28),(35,29),(36,29),(36,41),(37,26),(37,52),(38,30),(38,42),(39,40),(39,51),(40,19),(40,47),(41,17),(41,44),(42,18),(42,45),(43,20),(43,31),(44,21),(44,32),(45,15),(45,46),(46,16),(46,43),(47,13),(47,48),(48,14),(48,41),(49,22),(49,42),(50,9),(50,49),(51,47),(51,53),(52,34),(52,54),(53,36),(53,48),(54,35),(54,36),(55,39),(55,56),(55,58),(56,10),(56,38),(56,49),(57,37),(57,50),(57,56),(57,58),(58,10),(58,26),(58,38),(58,40)],59)
101000010001=>([(0,4),(0,5),(1,3),(1,35),(1,36),(2,43),(2,44),(3,2),(3,49),(3,50),(4,45),(4,46),(5,1),(5,45),(5,46),(7,20),(8,13),(9,21),(10,22),(11,15),(12,16),(13,14),(14,19),(15,17),(16,18),(17,9),(18,10),(19,12),(20,11),(21,6),(22,6),(23,29),(23,30),(24,23),(24,40),(25,23),(25,39),(26,27),(26,32),(27,28),(27,41),(28,24),(28,38),(29,10),(29,31),(30,9),(30,31),(31,21),(31,22),(32,28),(32,33),(33,24),(33,25),(34,25),(34,37),(35,47),(35,50),(36,26),(36,49),(37,16),(37,39),(38,15),(38,40),(39,18),(39,29),(40,17),(40,30),(41,11),(41,38),(42,12),(42,37),(43,34),(43,42),(44,33),(44,34),(45,8),(45,36),(45,48),(46,8),(46,35),(46,48),(47,14),(47,27),(47,51),(48,13),(48,26),(48,47),(49,7),(49,32),(49,44),(50,7),(50,43),(50,51),(51,19),(51,20),(51,41),(51,42)],52)
101000011101=>([(0,6),(0,7),(1,4),(1,37),(1,39),(2,5),(2,38),(2,40),(3,55),(3,56),(4,52),(4,57),(5,3),(5,53),(5,54),(6,1),(6,58),(6,59),(7,2),(7,58),(7,59),(9,21),(10,22),(11,23),(12,24),(13,15),(14,16),(15,18),(16,17),(17,19),(18,20),(19,11),(20,12),(21,14),(22,13),(23,8),(24,8),(25,30),(25,31),(26,27),(26,46),(27,25),(27,47),(28,25),(28,48),(29,33),(29,35),(30,11),(30,32),(31,12),(31,32),(32,23),(32,24),(33,26),(33,34),(34,27),(34,28),(35,26),(35,43),(36,28),(36,44),(37,9),(37,57),(38,29),(38,54),(39,29),(39,52),(40,45),(40,53),(41,10),(41,45),(42,9),(42,10),(43,16),(43,46),(44,18),(44,48),(45,22),(45,51),(46,17),(46,47),(47,19),(47,30),(48,20),(48,31),(49,15),(49,44),(50,14),(50,43),(51,13),(51,49),(52,35),(52,50),(53,51),(53,56),(54,33),(54,55),(55,34),(55,36),(56,36),(56,49),(57,21),(57,50),(58,37),(58,40),(58,41),(58,42),(59,38),(59,39),(59,41),(59,42)],60)
101000000101=>([(0,6),(0,7),(1,5),(1,29),(1,30),(2,44),(2,45),(3,4),(3,48),(3,49),(4,2),(4,46),(4,47),(5,3),(5,42),(5,43),(6,50),(6,51),(7,1),(7,50),(7,51),(9,22),(10,21),(11,23),(12,24),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,11),(20,12),(21,17),(22,18),(23,8),(24,8),(25,11),(25,27),(26,12),(26,27),(27,23),(27,24),(28,25),(28,26),(29,40),(29,42),(30,41),(30,43),(31,9),(31,10),(32,13),(32,34),(33,14),(33,35),(34,15),(34,38),(35,16),(35,39),(36,17),(36,32),(37,18),(37,33),(38,19),(38,25),(39,20),(39,26),(40,21),(40,36),(41,22),(41,37),(42,36),(42,48),(43,37),(43,49),(44,28),(44,38),(45,28),(45,39),(46,34),(46,44),(47,35),(47,45),(48,32),(48,46),(49,33),(49,47),(50,29),(50,31),(50,52),(51,30),(51,31),(51,52),(52,9),(52,10),(52,40),(52,41)],53)
101000110101=>([(0,4),(0,5),(1,49),(1,52),(2,3),(2,50),(2,51),(3,37),(3,38),(4,1),(4,56),(4,57),(5,2),(5,56),(5,57),(7,19),(8,11),(9,20),(10,21),(11,13),(12,14),(13,12),(14,18),(15,17),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,28),(22,29),(23,32),(23,33),(24,22),(24,27),(25,22),(25,26),(26,28),(26,46),(27,29),(27,47),(28,23),(28,43),(29,23),(29,44),(30,26),(30,48),(31,27),(31,45),(32,9),(32,34),(33,10),(33,34),(34,20),(34,21),(35,24),(35,25),(36,24),(36,31),(37,25),(37,30),(38,30),(38,41),(39,31),(39,42),(40,7),(40,41),(41,19),(41,48),(42,13),(42,45),(43,17),(43,32),(44,18),(44,33),(45,12),(45,47),(46,15),(46,43),(47,14),(47,44),(48,16),(48,46),(49,35),(49,36),(50,38),(50,40),(51,35),(51,37),(52,36),(52,39),(53,8),(53,40),(53,55),(54,8),(54,39),(54,55),(55,7),(55,11),(55,42),(56,49),(56,51),(56,53),(56,54),(57,50),(57,52),(57,53),(57,54)],58)
101011010111=>([(0,3),(0,4),(1,18),(2,1),(2,33),(2,43),(3,47),(3,48),(4,2),(4,47),(4,48),(6,15),(7,11),(8,16),(9,17),(10,12),(11,10),(12,13),(13,9),(14,8),(15,14),(16,5),(17,5),(18,7),(19,20),(19,21),(20,22),(20,42),(21,22),(21,41),(22,28),(22,29),(23,26),(23,46),(24,19),(24,26),(25,19),(25,27),(26,20),(26,39),(27,21),(27,40),(28,9),(28,31),(29,8),(29,31),(30,6),(30,40),(31,16),(31,17),(32,34),(32,36),(33,35),(33,37),(34,23),(34,24),(35,24),(35,25),(36,23),(36,45),(37,25),(37,38),(38,27),(38,30),(39,12),(39,42),(40,15),(40,41),(41,14),(41,29),(42,13),(42,28),(43,18),(43,37),(43,44),(44,7),(44,38),(44,45),(45,11),(45,30),(45,46),(46,6),(46,10),(46,39),(47,32),(47,33),(47,49),(48,32),(48,43),(48,49),(49,34),(49,35),(49,36),(49,44)],50)
101011010001=>([(0,4),(0,5),(1,50),(1,51),(2,3),(2,22),(2,52),(3,7),(3,49),(4,1),(4,56),(4,57),(5,2),(5,56),(5,57),(7,19),(8,16),(9,20),(10,21),(11,13),(12,14),(13,17),(14,18),(15,11),(16,12),(17,9),(18,10),(19,15),(20,6),(21,6),(22,7),(23,31),(23,32),(24,25),(24,26),(25,27),(25,28),(26,27),(26,45),(27,23),(27,43),(28,23),(28,44),(29,26),(29,48),(30,28),(30,46),(31,10),(31,33),(32,9),(32,33),(33,20),(33,21),(34,29),(34,41),(35,24),(35,37),(36,24),(36,29),(37,25),(37,30),(38,8),(38,41),(39,30),(39,47),(40,39),(40,42),(41,16),(41,48),(42,15),(42,47),(43,18),(43,31),(44,17),(44,32),(45,14),(45,43),(46,13),(46,44),(47,11),(47,46),(48,12),(48,45),(49,19),(49,42),(50,35),(50,36),(51,34),(51,36),(52,40),(52,49),(53,38),(53,40),(53,54),(54,8),(54,37),(54,39),(55,34),(55,35),(55,38),(55,54),(56,50),(56,52),(56,53),(56,55),(57,22),(57,51),(57,53),(57,55)],58)
101011011101=>([(0,3),(0,4),(1,2),(1,50),(1,51),(2,31),(2,32),(3,48),(3,49),(4,1),(4,48),(4,49),(6,18),(7,15),(8,19),(9,20),(10,12),(11,13),(12,14),(13,16),(14,17),(15,11),(16,8),(17,9),(18,10),(19,5),(20,5),(21,27),(21,28),(22,23),(22,24),(23,21),(23,41),(24,21),(24,42),(25,23),(25,43),(26,24),(26,44),(27,8),(27,29),(28,9),(28,29),(29,19),(29,20),(30,33),(30,35),(31,7),(31,39),(32,34),(32,39),(33,26),(33,40),(34,25),(34,45),(35,22),(35,26),(36,22),(36,25),(37,6),(37,38),(38,18),(38,46),(39,15),(39,45),(40,12),(40,44),(41,16),(41,27),(42,17),(42,28),(43,13),(43,41),(44,14),(44,42),(45,11),(45,43),(46,10),(46,40),(47,7),(47,35),(47,36),(48,37),(48,51),(48,53),(49,37),(49,50),(49,53),(50,30),(50,32),(50,52),(51,30),(51,31),(51,47),(52,33),(52,34),(52,36),(52,46),(53,6),(53,38),(53,47),(53,52)],54)
101011000101=>([(0,4),(0,5),(1,49),(1,52),(2,3),(2,50),(2,51),(3,37),(3,38),(4,1),(4,56),(4,57),(5,2),(5,56),(5,57),(7,19),(8,11),(9,20),(10,21),(11,13),(12,14),(13,12),(14,18),(15,17),(16,15),(17,9),(18,10),(19,16),(20,6),(21,6),(22,28),(22,29),(23,32),(23,33),(24,22),(24,27),(25,22),(25,26),(26,28),(26,46),(27,29),(27,47),(28,23),(28,43),(29,23),(29,44),(30,26),(30,48),(31,27),(31,45),(32,9),(32,34),(33,10),(33,34),(34,20),(34,21),(35,24),(35,25),(36,24),(36,31),(37,25),(37,30),(38,30),(38,41),(39,31),(39,42),(40,7),(40,41),(41,19),(41,48),(42,13),(42,45),(43,17),(43,32),(44,18),(44,33),(45,12),(45,47),(46,15),(46,43),(47,14),(47,44),(48,16),(48,46),(49,35),(49,36),(50,38),(50,40),(51,35),(51,37),(52,36),(52,39),(53,8),(53,40),(53,55),(54,8),(54,39),(54,55),(55,7),(55,11),(55,42),(56,49),(56,51),(56,53),(56,54),(57,50),(57,52),(57,53),(57,54)],58)
101011110101=>([(0,4),(0,5),(1,3),(1,37),(1,38),(2,48),(2,49),(3,2),(3,46),(3,47),(4,50),(4,51),(5,1),(5,50),(5,51),(7,16),(8,15),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,22),(19,23),(20,19),(20,42),(21,19),(21,43),(22,9),(22,27),(23,10),(23,27),(24,8),(24,40),(25,7),(25,41),(26,7),(26,8),(27,17),(27,18),(28,30),(28,40),(29,31),(29,41),(30,20),(30,44),(31,21),(31,45),(32,20),(32,21),(33,24),(33,26),(34,25),(34,26),(35,24),(35,28),(36,25),(36,29),(37,35),(37,46),(38,36),(38,47),(39,33),(39,34),(40,15),(40,44),(41,16),(41,45),(42,13),(42,22),(43,14),(43,23),(44,11),(44,42),(45,12),(45,43),(46,28),(46,48),(47,29),(47,49),(48,30),(48,32),(49,31),(49,32),(50,37),(50,39),(50,52),(51,38),(51,39),(51,52),(52,33),(52,34),(52,35),(52,36)],53)
101010010101=>([(0,2),(0,3),(1,29),(1,30),(2,45),(2,46),(3,1),(3,45),(3,46),(5,14),(6,13),(7,15),(8,16),(9,11),(10,12),(11,7),(12,8),(13,9),(14,10),(15,4),(16,4),(17,22),(17,23),(18,26),(18,27),(19,20),(19,21),(20,17),(20,24),(21,17),(21,25),(22,18),(22,39),(23,18),(23,40),(24,22),(24,41),(25,23),(25,42),(26,7),(26,28),(27,8),(27,28),(28,15),(28,16),(29,19),(29,31),(30,19),(30,32),(31,20),(31,34),(32,21),(32,35),(33,43),(33,44),(34,24),(34,37),(35,25),(35,38),(36,5),(36,6),(37,13),(37,41),(38,14),(38,42),(39,11),(39,26),(40,12),(40,27),(41,9),(41,39),(42,10),(42,40),(43,34),(43,36),(43,48),(44,35),(44,36),(44,48),(45,29),(45,33),(45,47),(46,30),(46,33),(46,47),(47,31),(47,32),(47,43),(47,44),(48,5),(48,6),(48,37),(48,38)],49)
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(only identities of compositions of up to three maps are shown)
Description
The poset of factors of a binary word.
This is the partial order on the set of distinct factors of a binary word, such that $u < v$ if and only if $u$ is a factor of $v$.
This is the partial order on the set of distinct factors of a binary word, such that $u < v$ if and only if $u$ is a factor of $v$.
Sage code
def mapping(w): return Poset([w.factor_set(), lambda u, v: u.is_factor(v)])
Weight
51
Created
Sep 16, 2022 at 10:55 by Martin Rubey
Updated
Sep 16, 2022 at 10:55 by Martin Rubey
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