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