Class 1: p00000, p11111
Class 2: p00001, p11110
Class 3: p00010, p11101
Class 4: p00011, p11100
Class 5: p00100, p11011
Class 6: p00101, p11010
Class 7: p00110, p11001
Class 8: p00111, p11000
Class 9: p01000, p10111
Class 10: p01001, p10110
Class 11: p01010, p10101
Class 12: p01011, p10100
Class 13: p01100, p10011
Class 14: p01101, p10010
Class 15: p01110, p10001
Class 16: p01111, p10000