Identifier
Mp00104:
Binary words
—reverse⟶
Binary words
Mp00135: Binary words —rotate front-to-back⟶ Binary words
Mp00262: Binary words —poset of factors⟶ Posets
Mp00135: Binary words —rotate front-to-back⟶ Binary words
Mp00262: Binary words —poset of factors⟶ Posets
Images
=>
Cc0014;cc-rep-3
0=>0=>0=>([(0,1)],2)
1=>1=>1=>([(0,1)],2)
00=>00=>00=>([(0,2),(2,1)],3)
01=>10=>01=>([(0,1),(0,2),(1,3),(2,3)],4)
10=>01=>10=>([(0,1),(0,2),(1,3),(2,3)],4)
11=>11=>11=>([(0,2),(2,1)],3)
000=>000=>000=>([(0,3),(2,1),(3,2)],4)
001=>100=>001=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
010=>010=>100=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
011=>110=>101=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
100=>001=>010=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
101=>101=>011=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
110=>011=>110=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
111=>111=>111=>([(0,3),(2,1),(3,2)],4)
0000=>0000=>0000=>([(0,4),(2,3),(3,1),(4,2)],5)
0001=>1000=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
0010=>0100=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
0011=>1100=>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)
0100=>0010=>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=>1010=>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=>0110=>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)
0111=>1110=>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)
1000=>0001=>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)
1001=>1001=>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)
1010=>0101=>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=>1101=>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=>0011=>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)
1101=>1011=>0111=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
1110=>0111=>1110=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
1111=>1111=>1111=>([(0,4),(2,3),(3,1),(4,2)],5)
00000=>00000=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
00001=>10000=>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=>01000=>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)
00011=>11000=>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)
00100=>00100=>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)
00101=>10100=>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)
00110=>01100=>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)
00111=>11100=>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)
01000=>00010=>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)
01001=>10010=>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)
01010=>01010=>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)
01011=>11010=>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)
01100=>00110=>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=>10110=>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=>01110=>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)
01111=>11110=>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)
10000=>00001=>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)
10001=>10001=>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)
10010=>01001=>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=>11001=>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=>00101=>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)
10101=>10101=>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)
10110=>01101=>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)
10111=>11101=>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)
11000=>00011=>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)
11001=>10011=>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)
11010=>01011=>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)
11011=>11011=>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)
11100=>00111=>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)
11101=>10111=>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)
11110=>01111=>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=>11111=>11111=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
000000=>000000=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
000001=>100000=>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=>010000=>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)
000011=>110000=>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)
000100=>001000=>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)
000101=>101000=>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)
000110=>011000=>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)
000111=>111000=>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)
001000=>000100=>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=>100100=>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=>010100=>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)
001011=>110100=>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)
001100=>001100=>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)
001101=>101100=>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)
001110=>011100=>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)
001111=>111100=>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)
010000=>000010=>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)
010001=>100010=>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)
010010=>010010=>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)
010011=>110010=>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)
010100=>001010=>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=>101010=>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=>011010=>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)
010111=>111010=>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)
011000=>000110=>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)
011001=>100110=>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)
011010=>010110=>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)
011011=>110110=>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)
011100=>001110=>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=>101110=>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=>011110=>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)
011111=>111110=>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)
100000=>000001=>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)
100001=>100001=>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)
100010=>010001=>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=>110001=>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=>001001=>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)
100101=>101001=>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)
100110=>011001=>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)
100111=>111001=>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)
101000=>000101=>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)
101001=>100101=>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)
101010=>010101=>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=>110101=>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=>001101=>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)
101101=>101101=>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)
101110=>011101=>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)
101111=>111101=>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)
110000=>000011=>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)
110001=>100011=>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)
110010=>010011=>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)
110011=>110011=>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)
110100=>001011=>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)
110101=>101011=>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)
110110=>011011=>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=>111011=>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=>000111=>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)
111001=>100111=>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)
111010=>010111=>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)
111011=>110111=>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)
111100=>001111=>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)
111101=>101111=>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)
111110=>011111=>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=>111111=>111111=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
0000000=>0000000=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
0000001=>1000000=>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=>0100000=>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)
0000011=>1100000=>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)
0000100=>0010000=>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)
0000101=>1010000=>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)
0000110=>0110000=>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)
0000111=>1110000=>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)
0001000=>0001000=>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)
0001001=>1001000=>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)
0001010=>0101000=>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)
0001011=>1101000=>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)
0001100=>0011000=>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)
0001101=>1011000=>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)
0001110=>0111000=>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)
0001111=>1111000=>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)
0010000=>0000100=>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)
0010001=>1000100=>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)
0010010=>0100100=>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)
0010011=>1100100=>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)
0010100=>0010100=>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)
0010101=>1010100=>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)
0010110=>0110100=>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)
0010111=>1110100=>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)
0011000=>0001100=>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=>1001100=>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=>0101100=>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)
0011011=>1101100=>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)
0011100=>0011100=>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)
0011101=>1011100=>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)
0011110=>0111100=>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)
0011111=>1111100=>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)
0100000=>0000010=>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)
0100001=>1000010=>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)
0100010=>0100010=>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)
0100011=>1100010=>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)
0100100=>0010010=>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=>1010010=>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=>0110010=>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)
0100111=>1110010=>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)
0101000=>0001010=>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)
0101001=>1001010=>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)
0101010=>0101010=>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)
0101011=>1101010=>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)
0101100=>0011010=>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)
0101101=>1011010=>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)
0101110=>0111010=>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)
0101111=>1111010=>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)
0110000=>0000110=>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)
0110001=>1000110=>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)
0110010=>0100110=>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)
0110011=>1100110=>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)
0110100=>0010110=>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)
0110101=>1010110=>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)
0110110=>0110110=>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)
0110111=>1110110=>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)
0111000=>0001110=>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)
0111001=>1001110=>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)
0111010=>0101110=>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)
0111011=>1101110=>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)
0111100=>0011110=>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=>1011110=>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=>0111110=>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)
0111111=>1111110=>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)
1000000=>0000001=>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)
1000001=>1000001=>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)
1000010=>0100001=>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=>1100001=>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=>0010001=>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)
1000101=>1010001=>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)
1000110=>0110001=>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)
1000111=>1110001=>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)
1001000=>0001001=>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)
1001001=>1001001=>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)
1001010=>0101001=>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)
1001011=>1101001=>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)
1001100=>0011001=>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)
1001101=>1011001=>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)
1001110=>0111001=>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)
1001111=>1111001=>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)
1010000=>0000101=>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)
1010001=>1000101=>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)
1010010=>0100101=>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)
1010011=>1100101=>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)
1010100=>0010101=>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)
1010101=>1010101=>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)
1010110=>0110101=>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)
1010111=>1110101=>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)
1011000=>0001101=>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)
1011001=>1001101=>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)
1011010=>0101101=>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=>1101101=>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=>0011101=>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)
1011101=>1011101=>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)
1011110=>0111101=>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)
1011111=>1111101=>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)
1100000=>0000011=>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)
1100001=>1000011=>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)
1100010=>0100011=>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)
1100011=>1100011=>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)
1100100=>0010011=>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)
1100101=>1010011=>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)
1100110=>0110011=>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=>1110011=>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=>0001011=>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)
1101001=>1001011=>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)
1101010=>0101011=>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)
1101011=>1101011=>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)
1101100=>0011011=>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)
1101101=>1011011=>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)
1101110=>0111011=>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)
1101111=>1111011=>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)
1110000=>0000111=>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)
1110001=>1000111=>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)
1110010=>0100111=>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)
1110011=>1100111=>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)
1110100=>0010111=>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)
1110101=>1010111=>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)
1110110=>0110111=>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)
1110111=>1110111=>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)
1111000=>0001111=>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)
1111001=>1001111=>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)
1111010=>0101111=>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)
1111011=>1101111=>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)
1111100=>0011111=>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)
1111101=>1011111=>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)
1111110=>0111111=>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=>1111111=>1111111=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
00000000=>00000000=>00000000=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
00000001=>10000000=>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=>01000000=>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)
00000011=>11000000=>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)
00000100=>00100000=>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)
00000101=>10100000=>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)
00000110=>01100000=>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)
00000111=>11100000=>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)
00001000=>00010000=>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)
00001001=>10010000=>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)
00001010=>01010000=>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)
00001011=>11010000=>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)
00001100=>00110000=>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)
00001101=>10110000=>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)
00001110=>01110000=>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)
00001111=>11110000=>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)
00010000=>00001000=>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=>10001000=>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=>01001000=>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)
00010011=>11001000=>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)
00010100=>00101000=>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)
00010101=>10101000=>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)
00010110=>01101000=>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)
00010111=>11101000=>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)
00011000=>00011000=>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)
00011001=>10011000=>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)
00011010=>01011000=>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)
00011011=>11011000=>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)
00011100=>00111000=>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)
00011101=>10111000=>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)
00011110=>01111000=>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)
00011111=>11111000=>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)
00100000=>00000100=>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)
00100001=>10000100=>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)
00100010=>01000100=>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)
00100011=>11000100=>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)
00100100=>00100100=>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)
00100101=>10100100=>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)
00100110=>01100100=>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)
00100111=>11100100=>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)
00101000=>00010100=>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=>10010100=>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=>01010100=>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)
00101011=>11010100=>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)
00101100=>00110100=>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)
00101101=>10110100=>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)
00101110=>01110100=>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)
00101111=>11110100=>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)
00110000=>00001100=>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)
00110001=>10001100=>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)
00110010=>01001100=>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)
00110011=>11001100=>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)
00110100=>00101100=>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)
00110101=>10101100=>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)
00110110=>01101100=>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)
00110111=>11101100=>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)
00111000=>00011100=>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=>10011100=>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=>01011100=>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)
00111011=>11011100=>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)
00111100=>00111100=>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)
00111101=>10111100=>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)
00111110=>01111100=>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)
00111111=>11111100=>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)
01000000=>00000010=>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)
01000001=>10000010=>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)
01000010=>01000010=>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)
01000011=>11000010=>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)
01000100=>00100010=>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=>10100010=>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=>01100010=>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)
01000111=>11100010=>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)
01001000=>00010010=>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)
01001001=>10010010=>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)
01001010=>01010010=>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)
01001011=>11010010=>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)
01001100=>00110010=>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)
01001101=>10110010=>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)
01001110=>01110010=>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)
01001111=>11110010=>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)
01010000=>00001010=>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)
01010001=>10001010=>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)
01010010=>01001010=>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)
01010011=>11001010=>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)
01010100=>00101010=>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=>10101010=>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=>01101010=>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)
01010111=>11101010=>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)
01011000=>00011010=>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)
01011001=>10011010=>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)
01011010=>01011010=>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)
01011011=>11011010=>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)
01011100=>00111010=>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)
01011101=>10111010=>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)
01011110=>01111010=>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)
01011111=>11111010=>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)
01100000=>00000110=>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)
01100001=>10000110=>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)
01100010=>01000110=>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)
01100011=>11000110=>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)
01100100=>00100110=>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)
01100101=>10100110=>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)
01100110=>01100110=>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)
01100111=>11100110=>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)
01101000=>00010110=>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)
01101001=>10010110=>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)
01101010=>01010110=>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)
01101011=>11010110=>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)
01101100=>00110110=>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=>10110110=>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=>01110110=>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)
01101111=>11110110=>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)
01110000=>00001110=>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)
01110001=>10001110=>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)
01110010=>01001110=>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)
01110011=>11001110=>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)
01110100=>00101110=>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)
01110101=>10101110=>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)
01110110=>01101110=>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)
01110111=>11101110=>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)
01111000=>00011110=>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)
01111001=>10011110=>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)
01111010=>01011110=>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)
01111011=>11011110=>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)
01111100=>00111110=>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=>10111110=>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=>01111110=>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)
01111111=>11111110=>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)
10000000=>00000001=>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)
10000001=>10000001=>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)
10000010=>01000001=>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=>11000001=>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=>00100001=>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)
10000101=>10100001=>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)
10000110=>01100001=>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)
10000111=>11100001=>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)
10001000=>00010001=>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)
10001001=>10010001=>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)
10001010=>01010001=>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)
10001011=>11010001=>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)
10001100=>00110001=>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)
10001101=>10110001=>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)
10001110=>01110001=>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)
10001111=>11110001=>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)
10010000=>00001001=>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)
10010001=>10001001=>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)
10010010=>01001001=>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=>11001001=>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=>00101001=>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)
10010101=>10101001=>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)
10010110=>01101001=>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)
10010111=>11101001=>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)
10011000=>00011001=>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)
10011001=>10011001=>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)
10011010=>01011001=>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)
10011011=>11011001=>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)
10011100=>00111001=>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)
10011101=>10111001=>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)
10011110=>01111001=>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)
10011111=>11111001=>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)
10100000=>00000101=>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)
10100001=>10000101=>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)
10100010=>01000101=>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)
10100011=>11000101=>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)
10100100=>00100101=>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)
10100101=>10100101=>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)
10100110=>01100101=>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)
10100111=>11100101=>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)
10101000=>00010101=>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)
10101001=>10010101=>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)
10101010=>01010101=>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=>11010101=>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=>00110101=>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)
10101101=>10110101=>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)
10101110=>01110101=>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)
10101111=>11110101=>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)
10110000=>00001101=>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)
10110001=>10001101=>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)
10110010=>01001101=>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)
10110011=>11001101=>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)
10110100=>00101101=>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)
10110101=>10101101=>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)
10110110=>01101101=>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)
10110111=>11101101=>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)
10111000=>00011101=>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)
10111001=>10011101=>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)
10111010=>01011101=>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=>11011101=>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=>00111101=>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)
10111101=>10111101=>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)
10111110=>01111101=>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)
10111111=>11111101=>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)
11000000=>00000011=>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)
11000001=>10000011=>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)
11000010=>01000011=>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)
11000011=>11000011=>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)
11000100=>00100011=>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)
11000101=>10100011=>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)
11000110=>01100011=>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=>11100011=>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=>00010011=>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)
11001001=>10010011=>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)
11001010=>01010011=>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)
11001011=>11010011=>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)
11001100=>00110011=>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)
11001101=>10110011=>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)
11001110=>01110011=>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)
11001111=>11110011=>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)
11010000=>00001011=>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)
11010001=>10001011=>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)
11010010=>01001011=>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)
11010011=>11001011=>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)
11010100=>00101011=>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)
11010101=>10101011=>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)
11010110=>01101011=>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=>11101011=>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=>00011011=>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)
11011001=>10011011=>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)
11011010=>01011011=>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)
11011011=>11011011=>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)
11011100=>00111011=>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)
11011101=>10111011=>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)
11011110=>01111011=>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)
11011111=>11111011=>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)
11100000=>00000111=>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)
11100001=>10000111=>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)
11100010=>01000111=>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)
11100011=>11000111=>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)
11100100=>00100111=>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)
11100101=>10100111=>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)
11100110=>01100111=>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)
11100111=>11100111=>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)
11101000=>00010111=>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)
11101001=>10010111=>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)
11101010=>01010111=>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)
11101011=>11010111=>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)
11101100=>00110111=>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)
11101101=>10110111=>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)
11101110=>01110111=>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=>11110111=>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=>00001111=>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)
11110001=>10001111=>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)
11110010=>01001111=>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)
11110011=>11001111=>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)
11110100=>00101111=>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)
11110101=>10101111=>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)
11110110=>01101111=>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)
11110111=>11101111=>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)
11111000=>00011111=>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)
11111001=>10011111=>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)
11111010=>01011111=>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)
11111011=>11011111=>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)
11111100=>00111111=>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)
11111101=>10111111=>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)
11111110=>01111111=>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=>11111111=>11111111=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
000000000=>000000000=>000000000=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
000000001=>100000000=>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=>010000000=>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)
000000011=>110000000=>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)
000000100=>001000000=>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)
000000101=>101000000=>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)
000000110=>011000000=>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)
000000111=>111000000=>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)
000001000=>000100000=>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)
000001001=>100100000=>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)
000001010=>010100000=>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)
000001011=>110100000=>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)
000001100=>001100000=>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)
000001101=>101100000=>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)
000001110=>011100000=>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)
000001111=>111100000=>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)
000010000=>000010000=>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)
000010001=>100010000=>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)
000010010=>010010000=>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)
000010011=>110010000=>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)
000010100=>001010000=>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)
000010101=>101010000=>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)
000010110=>011010000=>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)
000010111=>111010000=>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)
000011000=>000110000=>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)
000011001=>100110000=>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)
000011010=>010110000=>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)
000011011=>110110000=>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)
000011100=>001110000=>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)
000011101=>101110000=>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)
000011110=>011110000=>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)
000011111=>111110000=>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)
000100000=>000001000=>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)
000100001=>100001000=>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)
000100010=>010001000=>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)
000100011=>110001000=>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)
000100100=>001001000=>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)
000100101=>101001000=>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)
000100110=>011001000=>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)
000100111=>111001000=>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)
000101000=>000101000=>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)
000101001=>100101000=>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)
000101010=>010101000=>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)
000101011=>110101000=>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)
000101100=>001101000=>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)
000101101=>101101000=>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)
000101110=>011101000=>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)
000101111=>111101000=>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)
000110000=>000011000=>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=>100011000=>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=>010011000=>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)
000110011=>110011000=>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)
000110100=>001011000=>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)
000110101=>101011000=>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)
000110110=>011011000=>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)
000110111=>111011000=>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)
000111000=>000111000=>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)
000111001=>100111000=>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)
000111010=>010111000=>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)
000111011=>110111000=>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)
000111100=>001111000=>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)
000111101=>101111000=>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)
000111110=>011111000=>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)
000111111=>111111000=>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)
001000000=>000000100=>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)
001000001=>100000100=>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)
001000010=>010000100=>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)
001000011=>110000100=>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)
001000100=>001000100=>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)
001000101=>101000100=>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)
001000110=>011000100=>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)
001000111=>111000100=>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)
001001000=>000100100=>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=>100100100=>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=>010100100=>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)
001001011=>110100100=>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)
001001100=>001100100=>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)
001001101=>101100100=>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)
001001110=>011100100=>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)
001001111=>111100100=>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)
001010000=>000010100=>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)
001010001=>100010100=>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)
001010010=>010010100=>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)
001010011=>110010100=>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)
001010100=>001010100=>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)
001010101=>101010100=>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)
001010110=>011010100=>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)
001010111=>111010100=>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)
001011000=>000110100=>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)
001011001=>100110100=>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)
001011010=>010110100=>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)
001011011=>110110100=>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)
001011100=>001110100=>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)
001011101=>101110100=>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)
001011110=>011110100=>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)
001011111=>111110100=>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)
001100000=>000001100=>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)
001100001=>100001100=>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)
001100010=>010001100=>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)
001100011=>110001100=>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)
001100100=>001001100=>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)
001100101=>101001100=>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)
001100110=>011001100=>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)
001100111=>111001100=>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)
001101000=>000101100=>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)
001101001=>100101100=>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)
001101010=>010101100=>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)
001101011=>110101100=>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)
001101100=>001101100=>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)
001101101=>101101100=>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)
001101110=>011101100=>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)
001101111=>111101100=>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)
001110000=>000011100=>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)
001110001=>100011100=>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)
001110010=>010011100=>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)
001110011=>110011100=>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)
001110100=>001011100=>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)
001110101=>101011100=>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)
001110110=>011011100=>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)
001110111=>111011100=>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)
001111000=>000111100=>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=>100111100=>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=>010111100=>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)
001111011=>110111100=>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)
001111100=>001111100=>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)
001111101=>101111100=>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)
001111110=>011111100=>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)
001111111=>111111100=>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)
010000000=>000000010=>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)
010000001=>100000010=>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)
010000010=>010000010=>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)
010000011=>110000010=>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)
010000100=>001000010=>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=>101000010=>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=>011000010=>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)
010000111=>111000010=>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)
010001000=>000100010=>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)
010001001=>100100010=>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)
010001010=>010100010=>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)
010001011=>110100010=>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)
010001100=>001100010=>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)
010001101=>101100010=>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)
010001110=>011100010=>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)
010001111=>111100010=>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)
010010000=>000010010=>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)
010010001=>100010010=>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)
010010010=>010010010=>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)
010010011=>110010010=>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)
010010100=>001010010=>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)
010010101=>101010010=>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)
010010110=>011010010=>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)
010010111=>111010010=>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)
010011000=>000110010=>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)
010011001=>100110010=>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)
010011010=>010110010=>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)
010011011=>110110010=>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)
010011100=>001110010=>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)
010011101=>101110010=>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)
010011110=>011110010=>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)
010011111=>111110010=>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)
010100000=>000001010=>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)
010100001=>100001010=>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)
010100010=>010001010=>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)
010100011=>110001010=>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)
010100100=>001001010=>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)
010100101=>101001010=>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)
010100110=>011001010=>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)
010100111=>111001010=>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)
010101000=>000101010=>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)
010101001=>100101010=>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)
010101010=>010101010=>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)
010101011=>110101010=>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)
010101100=>001101010=>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)
010101101=>101101010=>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)
010101110=>011101010=>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)
010101111=>111101010=>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)
010110000=>000011010=>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)
010110001=>100011010=>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)
010110010=>010011010=>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)
010110011=>110011010=>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)
010110100=>001011010=>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=>101011010=>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=>011011010=>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)
010110111=>111011010=>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)
010111000=>000111010=>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)
010111001=>100111010=>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)
010111010=>010111010=>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)
010111011=>110111010=>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)
010111100=>001111010=>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)
010111101=>101111010=>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)
010111110=>011111010=>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)
010111111=>111111010=>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)
011000000=>000000110=>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)
011000001=>100000110=>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)
011000010=>010000110=>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)
011000011=>110000110=>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)
011000100=>001000110=>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)
011000101=>101000110=>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)
011000110=>011000110=>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)
011000111=>111000110=>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)
011001000=>000100110=>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)
011001001=>100100110=>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)
011001010=>010100110=>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)
011001011=>110100110=>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)
011001100=>001100110=>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=>101100110=>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=>011100110=>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)
011001111=>111100110=>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)
011010000=>000010110=>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)
011010001=>100010110=>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)
011010010=>010010110=>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)
011010011=>110010110=>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)
011010100=>001010110=>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)
011010101=>101010110=>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)
011010110=>011010110=>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)
011010111=>111010110=>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)
011011000=>000110110=>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)
011011001=>100110110=>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)
011011010=>010110110=>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)
011011011=>110110110=>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)
011011100=>001110110=>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)
011011101=>101110110=>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)
011011110=>011110110=>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)
011011111=>111110110=>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)
011100000=>000001110=>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)
011100001=>100001110=>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)
011100010=>010001110=>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)
011100011=>110001110=>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)
011100100=>001001110=>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)
011100101=>101001110=>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)
011100110=>011001110=>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)
011100111=>111001110=>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)
011101000=>000101110=>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)
011101001=>100101110=>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)
011101010=>010101110=>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)
011101011=>110101110=>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)
011101100=>001101110=>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)
011101101=>101101110=>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)
011101110=>011101110=>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)
011101111=>111101110=>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)
011110000=>000011110=>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)
011110001=>100011110=>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)
011110010=>010011110=>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)
011110011=>110011110=>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)
011110100=>001011110=>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)
011110101=>101011110=>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)
011110110=>011011110=>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)
011110111=>111011110=>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)
011111000=>000111110=>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)
011111001=>100111110=>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)
011111010=>010111110=>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)
011111011=>110111110=>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)
011111100=>001111110=>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=>101111110=>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=>011111110=>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)
011111111=>111111110=>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)
100000000=>000000001=>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)
100000001=>100000001=>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)
100000010=>010000001=>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=>110000001=>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=>001000001=>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)
100000101=>101000001=>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)
100000110=>011000001=>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)
100000111=>111000001=>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)
100001000=>000100001=>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)
100001001=>100100001=>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)
100001010=>010100001=>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)
100001011=>110100001=>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)
100001100=>001100001=>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)
100001101=>101100001=>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)
100001110=>011100001=>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)
100001111=>111100001=>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)
100010000=>000010001=>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)
100010001=>100010001=>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)
100010010=>010010001=>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)
100010011=>110010001=>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)
100010100=>001010001=>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)
100010101=>101010001=>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)
100010110=>011010001=>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)
100010111=>111010001=>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)
100011000=>000110001=>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)
100011001=>100110001=>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)
100011010=>010110001=>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)
100011011=>110110001=>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)
100011100=>001110001=>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)
100011101=>101110001=>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)
100011110=>011110001=>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)
100011111=>111110001=>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)
100100000=>000001001=>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)
100100001=>100001001=>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)
100100010=>010001001=>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)
100100011=>110001001=>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)
100100100=>001001001=>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)
100100101=>101001001=>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)
100100110=>011001001=>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)
100100111=>111001001=>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)
100101000=>000101001=>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)
100101001=>100101001=>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)
100101010=>010101001=>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)
100101011=>110101001=>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)
100101100=>001101001=>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)
100101101=>101101001=>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)
100101110=>011101001=>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)
100101111=>111101001=>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)
100110000=>000011001=>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)
100110001=>100011001=>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)
100110010=>010011001=>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=>110011001=>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=>001011001=>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)
100110101=>101011001=>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)
100110110=>011011001=>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)
100110111=>111011001=>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)
100111000=>000111001=>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)
100111001=>100111001=>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)
100111010=>010111001=>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)
100111011=>110111001=>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)
100111100=>001111001=>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)
100111101=>101111001=>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)
100111110=>011111001=>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)
100111111=>111111001=>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)
101000000=>000000101=>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)
101000001=>100000101=>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)
101000010=>010000101=>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)
101000011=>110000101=>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)
101000100=>001000101=>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)
101000101=>101000101=>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)
101000110=>011000101=>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)
101000111=>111000101=>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)
101001000=>000100101=>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)
101001001=>100100101=>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)
101001010=>010100101=>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=>110100101=>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=>001100101=>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)
101001101=>101100101=>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)
101001110=>011100101=>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)
101001111=>111100101=>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)
101010000=>000010101=>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)
101010001=>100010101=>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)
101010010=>010010101=>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)
101010011=>110010101=>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)
101010100=>001010101=>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)
101010101=>101010101=>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)
101010110=>011010101=>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)
101010111=>111010101=>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)
101011000=>000110101=>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)
101011001=>100110101=>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)
101011010=>010110101=>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)
101011011=>110110101=>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)
101011100=>001110101=>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)
101011101=>101110101=>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)
101011110=>011110101=>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)
101011111=>111110101=>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)
101100000=>000001101=>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)
101100001=>100001101=>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)
101100010=>010001101=>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)
101100011=>110001101=>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)
101100100=>001001101=>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)
101100101=>101001101=>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)
101100110=>011001101=>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)
101100111=>111001101=>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)
101101000=>000101101=>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)
101101001=>100101101=>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)
101101010=>010101101=>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)
101101011=>110101101=>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)
101101100=>001101101=>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)
101101101=>101101101=>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)
101101110=>011101101=>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)
101101111=>111101101=>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)
101110000=>000011101=>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)
101110001=>100011101=>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)
101110010=>010011101=>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)
101110011=>110011101=>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)
101110100=>001011101=>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)
101110101=>101011101=>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)
101110110=>011011101=>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)
101110111=>111011101=>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)
101111000=>000111101=>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)
101111001=>100111101=>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)
101111010=>010111101=>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=>110111101=>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=>001111101=>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)
101111101=>101111101=>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)
101111110=>011111101=>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)
101111111=>111111101=>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)
110000000=>000000011=>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)
110000001=>100000011=>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)
110000010=>010000011=>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)
110000011=>110000011=>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)
110000100=>001000011=>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)
110000101=>101000011=>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)
110000110=>011000011=>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=>111000011=>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=>000100011=>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)
110001001=>100100011=>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)
110001010=>010100011=>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)
110001011=>110100011=>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)
110001100=>001100011=>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)
110001101=>101100011=>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)
110001110=>011100011=>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)
110001111=>111100011=>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)
110010000=>000010011=>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)
110010001=>100010011=>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)
110010010=>010010011=>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)
110010011=>110010011=>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)
110010100=>001010011=>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)
110010101=>101010011=>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)
110010110=>011010011=>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)
110010111=>111010011=>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)
110011000=>000110011=>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)
110011001=>100110011=>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)
110011010=>010110011=>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)
110011011=>110110011=>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)
110011100=>001110011=>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)
110011101=>101110011=>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)
110011110=>011110011=>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)
110011111=>111110011=>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)
110100000=>000001011=>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)
110100001=>100001011=>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)
110100010=>010001011=>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)
110100011=>110001011=>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)
110100100=>001001011=>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)
110100101=>101001011=>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)
110100110=>011001011=>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)
110100111=>111001011=>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)
110101000=>000101011=>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)
110101001=>100101011=>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)
110101010=>010101011=>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)
110101011=>110101011=>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)
110101100=>001101011=>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)
110101101=>101101011=>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)
110101110=>011101011=>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)
110101111=>111101011=>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)
110110000=>000011011=>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)
110110001=>100011011=>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)
110110010=>010011011=>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)
110110011=>110011011=>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)
110110100=>001011011=>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)
110110101=>101011011=>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)
110110110=>011011011=>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=>111011011=>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=>000111011=>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)
110111001=>100111011=>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)
110111010=>010111011=>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)
110111011=>110111011=>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)
110111100=>001111011=>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)
110111101=>101111011=>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)
110111110=>011111011=>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)
110111111=>111111011=>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)
111000000=>000000111=>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)
111000001=>100000111=>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)
111000010=>010000111=>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)
111000011=>110000111=>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)
111000100=>001000111=>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)
111000101=>101000111=>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)
111000110=>011000111=>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)
111000111=>111000111=>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)
111001000=>000100111=>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)
111001001=>100100111=>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)
111001010=>010100111=>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)
111001011=>110100111=>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)
111001100=>001100111=>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)
111001101=>101100111=>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)
111001110=>011100111=>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=>111100111=>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=>000010111=>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)
111010001=>100010111=>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)
111010010=>010010111=>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)
111010011=>110010111=>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)
111010100=>001010111=>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)
111010101=>101010111=>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)
111010110=>011010111=>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)
111010111=>111010111=>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)
111011000=>000110111=>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)
111011001=>100110111=>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)
111011010=>010110111=>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)
111011011=>110110111=>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)
111011100=>001110111=>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)
111011101=>101110111=>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)
111011110=>011110111=>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)
111011111=>111110111=>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)
111100000=>000001111=>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)
111100001=>100001111=>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)
111100010=>010001111=>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)
111100011=>110001111=>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)
111100100=>001001111=>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)
111100101=>101001111=>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)
111100110=>011001111=>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)
111100111=>111001111=>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)
111101000=>000101111=>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)
111101001=>100101111=>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)
111101010=>010101111=>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)
111101011=>110101111=>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)
111101100=>001101111=>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)
111101101=>101101111=>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)
111101110=>011101111=>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)
111101111=>111101111=>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)
111110000=>000011111=>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)
111110001=>100011111=>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)
111110010=>010011111=>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)
111110011=>110011111=>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)
111110100=>001011111=>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)
111110101=>101011111=>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)
111110110=>011011111=>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)
111110111=>111011111=>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)
111111000=>000111111=>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)
111111001=>100111111=>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)
111111010=>010111111=>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)
111111011=>110111111=>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)
111111100=>001111111=>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)
111111101=>101111111=>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)
111111110=>011111111=>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=>111111111=>111111111=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
1010101010=>0101010101=>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)
1110100010=>0100010111=>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)
1111000010=>0100001111=>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)
101010101010=>010101010101=>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)
1111111111=>1111111111=>1111111111=>([(0,10),(2,3),(3,5),(4,2),(5,7),(6,4),(7,9),(8,6),(9,1),(10,8)],11)
1111111110=>0111111111=>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)
1111110110=>0110111111=>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)
1111110011=>1100111111=>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)
1111010010=>0100101111=>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)
1111000011=>1100001111=>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)
1100110011=>1100110011=>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)
1100011011=>1101100011=>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)
1100001111=>1111000011=>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)
1011110111=>1110111101=>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)
1010101011=>1101010101=>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)
1010100111=>1110010101=>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)
1010100110=>0110010101=>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)
1010010111=>1110100101=>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)
1001100110=>0110011001=>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)
1001010111=>1110101001=>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)
1000111010=>0101110001=>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)
1000110110=>0110110001=>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)
1000101110=>0111010001=>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)
1000011110=>0111100001=>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)
1000010111=>1110100001=>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)
1000000010=>0100000001=>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)
10000000010=>01000000001=>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)
11111111110=>01111111111=>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)
100000111110=>011111000001=>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)
100001011110=>011110100001=>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)
100010011110=>011110010001=>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)
100001101110=>011101100001=>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)
100010101110=>011101010001=>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)
100100101110=>011101001001=>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)
100010110110=>011011010001=>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)
10101010110=>01101010101=>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)
101000110110=>011011000101=>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)
100110001110=>011100011001=>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)
100101010110=>011010101001=>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)
0111111011=>1101111110=>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)
0001010111=>1110101000=>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)
010100101011=>110101001010=>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)
010011001011=>110100110010=>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)
010010011011=>110110010010=>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)
010010001111=>111100010010=>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)
010001101011=>110101100010=>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)
010000111011=>110111000010=>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)
010000101111=>111101000010=>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)
001100011011=>110110001100=>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)
001100001111=>111100001100=>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)
000110011011=>110110011000=>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)
000110001111=>111100011000=>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)
000101101011=>110101101000=>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)
000100111011=>110111001000=>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)
000100101111=>111101001000=>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)
000011011011=>110110110000=>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)
000001111011=>110111100000=>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)
000001101111=>111101100000=>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)
000000111111=>111111000000=>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)
111111111111=>111111111111=>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)
000001111110=>011111100000=>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)
000110011110=>011110011000=>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)
000111001110=>011100111000=>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)
000100111110=>011111001000=>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)
000101101110=>011101101000=>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)
0010101110=>0111010100=>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)
0000111110=>0111110000=>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)
0001011110=>0111101000=>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)
0100101111=>1111010010=>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)
0001101110=>0111011000=>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)
000011011110=>011110110000=>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)
001101101010=>010101101100=>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)
000011101110=>011101110000=>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)
100101101010=>010101101001=>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)
101010010110=>011010010101=>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)
111100000011=>110000001111=>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)
110000110011=>110011000011=>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)
110000011011=>110110000011=>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)
110000001111=>111100000011=>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)
0011001110=>0111001100=>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)
001101010110=>011010101100=>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)
001010110110=>011011010100=>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)
001110001110=>011100011100=>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)
001100101110=>011101001100=>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)
001010101110=>011101010100=>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)
001001101110=>011101100100=>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)
001100011110=>011110001100=>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)
001001011110=>011110100100=>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)
000101011110=>011110101000=>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)
001000111110=>011111000100=>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)
000010111110=>011111010000=>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)
0000000011=>1100000000=>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)
0000111111=>1111110000=>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)
0011001111=>1111001100=>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)
001111000011=>110000111100=>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)
0111100011=>1100011110=>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)
0001101111=>1111011000=>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)
0101010111=>1110101010=>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)
0110000011=>1100000110=>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)
Map
reverse
Description
Return the reversal of a binary word.
Map
rotate front-to-back
Description
The rotation of a binary word, first letter last.
This is the word obtained by moving the first letter to the end.
This is the word obtained by moving the first letter to the end.
Map
poset of factors
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 $v$.
searching the database
Sorry, this map was not found in the database.