32 square circle | Hamiltonian cycles

 

a list of pairs.xlsx

13.84MB

1 circle.py

0.00MB

All circles.py

0.00MB

2 in 1.py

0.00MB

square circle image.py

0.00MB

 

Hamiltonian cycles for n=32 found: 1

Cycle 1: [32, 17, 19, 30, 6, 3, 13, 12, 24, 25, 11, 5, 31, 18, 7, 29, 20, 16, 9, 27, 22, 14, 2, 23, 26, 10, 15, 1, 8, 28, 21, 4]

 

Hamiltonian cycles for n=33 found: 1

Cycle 1: [33, 16, 9, 27, 22, 14, 2, 23, 26, 10, 15, 1, 8, 28, 21, 4, 32, 17, 19, 30, 6, 3, 13, 12, 24, 25, 11, 5, 20, 29, 7, 18, 31]

 

Hamiltonian cycles for n=34 found: 11

Cycle 1: [34, 30, 19, 17, 32, 4, 12, 13, 3, 6, 10, 26, 23, 2, 14, 22, 27, 9, 16, 33, 31, 18, 7, 29, 20, 5, 11, 25, 24, 1, 8, 28, 21, 15]
Cycle 2: [34, 30, 19, 6, 10, 26, 23, 13, 12, 24, 25, 11, 5, 4, 32, 17, 8, 28, 21, 15, 1, 3, 33, 31, 18, 7, 29, 20, 16, 9, 27, 22, 14, 2]
Cycle 3: [34, 30, 19, 6, 10, 26, 23, 13, 3, 1, 15, 21, 28, 8, 17, 32, 4, 12, 24, 25, 11, 5, 20, 29, 7, 18, 31, 33, 16, 9, 27, 22, 14, 2]
Cycle 4: [34, 30, 19, 6, 10, 26, 23, 2, 14, 22, 27, 9, 16, 33, 31, 18, 7, 29, 20, 5, 11, 25, 24, 1, 3, 13, 12, 4, 32, 17, 8, 28, 21, 15]
Cycle 5: [34, 30, 6, 19, 17, 32, 4, 21, 28, 8, 1, 3, 13, 12, 24, 25, 11, 5, 20, 29, 7, 18, 31, 33, 16, 9, 27, 22, 14, 2, 23, 26, 10, 15]
Cycle 6: [34, 30, 6, 19, 17, 32, 4, 5, 11, 25, 24, 12, 13, 23, 26, 10, 15, 21, 28, 8, 1, 3, 33, 31, 18, 7, 29, 20, 16, 9, 27, 22, 14, 2]
Cycle 7: [34, 30, 6, 19, 17, 32, 4, 5, 20, 29, 7, 18, 31, 33, 16, 9, 27, 22, 14, 11, 25, 24, 12, 13, 3, 1, 8, 28, 21, 15, 10, 26, 23, 2]
Cycle 8: [34, 30, 6, 19, 17, 32, 4, 5, 20, 29, 7, 18, 31, 33, 16, 9, 27, 22, 3, 1, 8, 28, 21, 15, 10, 26, 23, 13, 12, 24, 25, 11, 14, 2]
Cycle 9: [34, 2, 23, 26, 10, 6, 30, 19, 17, 32, 4, 5, 20, 29, 7, 18, 31, 33, 16, 9, 27, 22, 14, 11, 25, 24, 12, 13, 3, 1, 8, 28, 21, 15]
Cycle 10: [34, 2, 14, 11, 25, 24, 12, 13, 23, 26, 10, 6, 30, 19, 17, 32, 4, 5, 20, 29, 7, 18, 31, 33, 16, 9, 27, 22, 3, 1, 8, 28, 21, 15]
Cycle 11: [34, 2, 14, 22, 27, 9, 16, 33, 31, 18, 7, 29, 20, 5, 11, 25, 24, 12, 4, 32, 17, 19, 30, 6, 10, 26, 23, 13, 3, 1, 8, 28, 21, 15]

 

Hamiltonian cycles for n=35 found: 57

Cycle 1: [35, 29, 20, 16, 9, 27, 22, 14, 2, 7, 18, 31, 33, 3, 6, 10, 26, 23, 13, 12, 24, 25, 11, 5, 4, 32, 17, 19, 30, 34, 15, 21, 28, 8, 1]
Cycle 2: [35, 29, 20, 16, 33, 31, 18, 7, 9, 27, 22, 14, 2, 23, 26, 10, 6, 19, 30, 34, 15, 21, 28, 8, 17, 32, 4, 5, 11, 25, 24, 12, 13, 3, 1]
Cycle 3: [35, 29, 20, 16, 33, 31, 18, 7, 9, 27, 22, 14, 2, 23, 26, 10, 6, 3, 13, 12, 24, 25, 11, 5, 4, 32, 17, 19, 30, 34, 15, 21, 28, 8, 1]
Cycle 4: [35, 29, 20, 16, 33, 31, 18, 7, 9, 27, 22, 3, 1, 8, 28, 21, 15, 10, 26, 23, 13, 12, 24, 25, 11, 5, 4, 32, 17, 19, 6, 30, 34, 2, 14]
Cycle 5: [35, 29, 20, 16, 33, 31, 18, 7, 9, 27, 22, 3, 1, 15, 21, 28, 8, 17, 32, 4, 5, 11, 25, 24, 12, 13, 23, 26, 10, 6, 19, 30, 34, 2, 14]
Cycle 6: [35, 29, 20, 16, 33, 3, 13, 12, 24, 25, 11, 5, 31, 18, 7, 9, 27, 22, 14, 2, 23, 26, 10, 15, 34, 30, 6, 19, 17, 32, 4, 21, 28, 8, 1]
Cycle 7: [35, 29, 20, 16, 33, 3, 13, 12, 24, 25, 11, 14, 22, 27, 9, 7, 18, 31, 5, 4, 32, 17, 19, 30, 6, 10, 26, 23, 2, 34, 15, 21, 28, 8, 1]
Cycle 8: [35, 29, 20, 16, 33, 3, 13, 12, 24, 25, 11, 14, 22, 27, 9, 7, 18, 31, 5, 4, 32, 17, 19, 6, 30, 34, 2, 23, 26, 10, 15, 21, 28, 8, 1]
Cycle 9: [35, 29, 20, 16, 33, 3, 13, 12, 4, 32, 17, 8, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 14, 22, 27, 9, 7, 18, 31, 5, 11, 25, 24, 1]
Cycle 10: [35, 29, 20, 16, 33, 3, 13, 12, 4, 32, 17, 19, 30, 6, 10, 26, 23, 2, 34, 15, 21, 28, 8, 1, 24, 25, 11, 5, 31, 18, 7, 9, 27, 22, 14]
Cycle 11: [35, 29, 20, 16, 33, 3, 13, 12, 4, 32, 17, 19, 6, 30, 34, 2, 23, 26, 10, 15, 21, 28, 8, 1, 24, 25, 11, 5, 31, 18, 7, 9, 27, 22, 14]
Cycle 12: [35, 29, 20, 16, 33, 3, 13, 23, 26, 10, 6, 19, 30, 34, 2, 14, 22, 27, 9, 7, 18, 31, 5, 11, 25, 24, 12, 4, 32, 17, 8, 28, 21, 15, 1]
Cycle 13: [35, 29, 20, 16, 33, 3, 13, 23, 26, 10, 6, 30, 19, 17, 32, 4, 12, 24, 25, 11, 5, 31, 18, 7, 9, 27, 22, 14, 2, 34, 15, 21, 28, 8, 1]
Cycle 14: [35, 29, 20, 16, 33, 3, 22, 27, 9, 7, 18, 31, 5, 11, 25, 24, 12, 13, 23, 26, 10, 6, 30, 19, 17, 32, 4, 21, 28, 8, 1, 15, 34, 2, 14]
Cycle 15: [35, 29, 20, 16, 33, 3, 22, 27, 9, 7, 18, 31, 5, 11, 25, 24, 12, 13, 23, 26, 10, 15, 1, 8, 28, 21, 4, 32, 17, 19, 6, 30, 34, 2, 14]
Cycle 16: [35, 29, 20, 16, 33, 3, 22, 27, 9, 7, 18, 31, 5, 11, 25, 24, 1, 8, 28, 21, 15, 10, 26, 23, 13, 12, 4, 32, 17, 19, 6, 30, 34, 2, 14]
Cycle 17: [35, 29, 20, 16, 33, 3, 22, 27, 9, 7, 18, 31, 5, 11, 25, 24, 1, 15, 21, 28, 8, 17, 32, 4, 12, 13, 23, 26, 10, 6, 19, 30, 34, 2, 14]
Cycle 18: [35, 29, 20, 16, 33, 3, 22, 27, 9, 7, 18, 31, 5, 4, 32, 17, 19, 30, 6, 10, 26, 23, 13, 12, 24, 25, 11, 14, 2, 34, 15, 21, 28, 8, 1]
Cycle 19: [35, 29, 20, 16, 33, 3, 22, 27, 9, 7, 18, 31, 5, 4, 32, 17, 19, 6, 30, 34, 2, 14, 11, 25, 24, 12, 13, 23, 26, 10, 15, 21, 28, 8, 1]
Cycle 20: [35, 29, 20, 5, 11, 25, 24, 12, 13, 23, 26, 10, 15, 34, 30, 6, 19, 17, 32, 4, 21, 28, 8, 1, 3, 22, 27, 9, 16, 33, 31, 18, 7, 2, 14]
Cycle 21: [35, 29, 20, 5, 11, 25, 24, 12, 13, 3, 1, 8, 28, 21, 4, 32, 17, 19, 6, 30, 34, 15, 10, 26, 23, 2, 7, 18, 31, 33, 16, 9, 27, 22, 14]
Cycle 22: [35, 29, 20, 5, 11, 25, 24, 12, 4, 32, 17, 8, 28, 21, 15, 1, 3, 13, 23, 26, 10, 6, 19, 30, 34, 2, 7, 18, 31, 33, 16, 9, 27, 22, 14]
Cycle 23: [35, 29, 20, 5, 11, 25, 24, 12, 4, 32, 17, 19, 30, 6, 10, 26, 23, 13, 3, 1, 8, 28, 21, 15, 34, 2, 7, 18, 31, 33, 16, 9, 27, 22, 14]
Cycle 24: [35, 29, 20, 5, 11, 25, 24, 1, 8, 28, 21, 15, 34, 30, 19, 17, 32, 4, 12, 13, 23, 26, 10, 6, 3, 22, 27, 9, 16, 33, 31, 18, 7, 2, 14]
Cycle 25: [35, 29, 20, 5, 11, 25, 24, 1, 8, 28, 21, 15, 34, 30, 19, 17, 32, 4, 12, 13, 3, 6, 10, 26, 23, 2, 7, 18, 31, 33, 16, 9, 27, 22, 14]
Cycle 26: [35, 29, 20, 5, 11, 25, 24, 1, 3, 13, 12, 4, 32, 17, 8, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 7, 18, 31, 33, 16, 9, 27, 22, 14]
Cycle 27: [35, 29, 20, 5, 31, 18, 7, 2, 34, 30, 19, 6, 10, 26, 23, 13, 3, 33, 16, 9, 27, 22, 14, 11, 25, 24, 12, 4, 32, 17, 8, 28, 21, 15, 1]
Cycle 28: [35, 29, 20, 5, 31, 18, 7, 2, 34, 30, 6, 19, 17, 32, 4, 12, 24, 25, 11, 14, 22, 27, 9, 16, 33, 3, 13, 23, 26, 10, 15, 21, 28, 8, 1]
Cycle 29: [35, 29, 20, 5, 31, 18, 7, 2, 34, 15, 10, 26, 23, 13, 12, 24, 25, 11, 14, 22, 27, 9, 16, 33, 3, 6, 30, 19, 17, 32, 4, 21, 28, 8, 1]
Cycle 30: [35, 29, 20, 5, 31, 18, 7, 2, 23, 26, 10, 6, 19, 30, 34, 15, 21, 28, 8, 17, 32, 4, 12, 13, 3, 33, 16, 9, 27, 22, 14, 11, 25, 24, 1]
Cycle 31: [35, 29, 20, 5, 4, 32, 17, 8, 28, 21, 15, 10, 26, 23, 13, 12, 24, 25, 11, 14, 22, 27, 9, 16, 33, 31, 18, 7, 2, 34, 30, 19, 6, 3, 1]
Cycle 32: [35, 29, 20, 5, 4, 32, 17, 8, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 13, 12, 24, 25, 11, 14, 2, 7, 18, 31, 33, 16, 9, 27, 22, 3, 1]
Cycle 33: [35, 29, 20, 5, 4, 32, 17, 8, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 7, 18, 31, 33, 16, 9, 27, 22, 14, 11, 25, 24, 12, 13, 3, 1]
Cycle 34: [35, 29, 20, 5, 4, 32, 17, 8, 28, 21, 15, 1, 3, 22, 27, 9, 16, 33, 31, 18, 7, 2, 34, 30, 19, 6, 10, 26, 23, 13, 12, 24, 25, 11, 14]
Cycle 35: [35, 29, 20, 5, 4, 32, 17, 19, 6, 30, 34, 2, 7, 18, 31, 33, 16, 9, 27, 22, 3, 1, 8, 28, 21, 15, 10, 26, 23, 13, 12, 24, 25, 11, 14]
Cycle 36: [35, 29, 7, 18, 31, 33, 3, 13, 12, 24, 25, 11, 5, 20, 16, 9, 27, 22, 14, 2, 23, 26, 10, 15, 34, 30, 6, 19, 17, 32, 4, 21, 28, 8, 1]
Cycle 37: [35, 29, 7, 18, 31, 33, 3, 13, 12, 24, 25, 11, 14, 22, 27, 9, 16, 20, 5, 4, 32, 17, 19, 30, 6, 10, 26, 23, 2, 34, 15, 21, 28, 8, 1]
Cycle 38: [35, 29, 7, 18, 31, 33, 3, 13, 12, 24, 25, 11, 14, 22, 27, 9, 16, 20, 5, 4, 32, 17, 19, 6, 30, 34, 2, 23, 26, 10, 15, 21, 28, 8, 1]
Cycle 39: [35, 29, 7, 18, 31, 33, 3, 13, 12, 4, 32, 17, 8, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 14, 22, 27, 9, 16, 20, 5, 11, 25, 24, 1]
Cycle 40: [35, 29, 7, 18, 31, 33, 3, 13, 12, 4, 32, 17, 19, 30, 6, 10, 26, 23, 2, 34, 15, 21, 28, 8, 1, 24, 25, 11, 5, 20, 16, 9, 27, 22, 14]
Cycle 41: [35, 29, 7, 18, 31, 33, 3, 13, 12, 4, 32, 17, 19, 6, 30, 34, 2, 23, 26, 10, 15, 21, 28, 8, 1, 24, 25, 11, 5, 20, 16, 9, 27, 22, 14]
Cycle 42: [35, 29, 7, 18, 31, 33, 3, 13, 23, 26, 10, 6, 19, 30, 34, 2, 14, 22, 27, 9, 16, 20, 5, 11, 25, 24, 12, 4, 32, 17, 8, 28, 21, 15, 1]
Cycle 43: [35, 29, 7, 18, 31, 33, 3, 13, 23, 26, 10, 6, 30, 19, 17, 32, 4, 12, 24, 25, 11, 5, 20, 16, 9, 27, 22, 14, 2, 34, 15, 21, 28, 8, 1]
Cycle 44: [35, 29, 7, 18, 31, 33, 3, 22, 27, 9, 16, 20, 5, 11, 25, 24, 12, 13, 23, 26, 10, 6, 30, 19, 17, 32, 4, 21, 28, 8, 1, 15, 34, 2, 14]
Cycle 45: [35, 29, 7, 18, 31, 33, 3, 22, 27, 9, 16, 20, 5, 11, 25, 24, 12, 13, 23, 26, 10, 15, 1, 8, 28, 21, 4, 32, 17, 19, 6, 30, 34, 2, 14]
Cycle 46: [35, 29, 7, 18, 31, 33, 3, 22, 27, 9, 16, 20, 5, 11, 25, 24, 1, 8, 28, 21, 15, 10, 26, 23, 13, 12, 4, 32, 17, 19, 6, 30, 34, 2, 14]
Cycle 47: [35, 29, 7, 18, 31, 33, 3, 22, 27, 9, 16, 20, 5, 11, 25, 24, 1, 15, 21, 28, 8, 17, 32, 4, 12, 13, 23, 26, 10, 6, 19, 30, 34, 2, 14]
Cycle 48: [35, 29, 7, 18, 31, 33, 3, 22, 27, 9, 16, 20, 5, 4, 32, 17, 19, 30, 6, 10, 26, 23, 13, 12, 24, 25, 11, 14, 2, 34, 15, 21, 28, 8, 1]
Cycle 49: [35, 29, 7, 18, 31, 33, 3, 22, 27, 9, 16, 20, 5, 4, 32, 17, 19, 6, 30, 34, 2, 14, 11, 25, 24, 12, 13, 23, 26, 10, 15, 21, 28, 8, 1]
Cycle 50: [35, 14, 11, 25, 24, 12, 13, 3, 22, 27, 9, 16, 33, 31, 18, 7, 29, 20, 5, 4, 32, 17, 19, 30, 6, 10, 26, 23, 2, 34, 15, 21, 28, 8, 1]
Cycle 51: [35, 14, 11, 25, 24, 12, 13, 3, 22, 27, 9, 16, 33, 31, 18, 7, 29, 20, 5, 4, 32, 17, 19, 6, 30, 34, 2, 23, 26, 10, 15, 21, 28, 8, 1]
Cycle 52: [35, 14, 22, 27, 9, 16, 20, 29, 7, 18, 31, 33, 3, 13, 12, 24, 25, 11, 5, 4, 32, 17, 19, 30, 6, 10, 26, 23, 2, 34, 15, 21, 28, 8, 1]
Cycle 53: [35, 14, 22, 27, 9, 16, 20, 29, 7, 18, 31, 33, 3, 13, 12, 24, 25, 11, 5, 4, 32, 17, 19, 6, 30, 34, 2, 23, 26, 10, 15, 21, 28, 8, 1]
Cycle 54: [35, 14, 2, 34, 30, 19, 6, 10, 26, 23, 13, 3, 22, 27, 9, 16, 33, 31, 18, 7, 29, 20, 5, 11, 25, 24, 12, 4, 32, 17, 8, 28, 21, 15, 1]
Cycle 55: [35, 14, 2, 34, 30, 6, 19, 17, 32, 4, 12, 24, 25, 11, 5, 20, 29, 7, 18, 31, 33, 16, 9, 27, 22, 3, 13, 23, 26, 10, 15, 21, 28, 8, 1]
Cycle 56: [35, 14, 2, 34, 15, 10, 26, 23, 13, 12, 24, 25, 11, 5, 20, 29, 7, 18, 31, 33, 16, 9, 27, 22, 3, 6, 30, 19, 17, 32, 4, 21, 28, 8, 1]
Cycle 57: [35, 14, 2, 23, 26, 10, 6, 19, 30, 34, 15, 21, 28, 8, 17, 32, 4, 12, 13, 3, 22, 27, 9, 16, 33, 31, 18, 7, 29, 20, 5, 11, 25, 24, 1]

 

Hamiltonian cycles for n=36 found: 31

Cycle 1: [36, 28, 8, 17, 32, 4, 21, 15, 10, 26, 23, 2, 34, 30, 19, 6, 3, 1, 35, 14, 22, 27, 9, 16, 33, 31, 18, 7, 29, 20, 5, 11, 25, 24, 12, 13]
Cycle 2: [36, 28, 8, 17, 32, 4, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 14, 35, 1, 3, 22, 27, 9, 16, 33, 31, 18, 7, 29, 20, 5, 11, 25, 24, 12, 13]
Cycle 3: [36, 28, 8, 17, 32, 4, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 7, 18, 31, 5, 20, 29, 35, 1, 3, 33, 16, 9, 27, 22, 14, 11, 25, 24, 12, 13]
Cycle 4: [36, 28, 8, 1, 15, 21, 4, 32, 17, 19, 30, 34, 2, 23, 26, 10, 6, 3, 33, 16, 20, 29, 35, 14, 22, 27, 9, 7, 18, 31, 5, 11, 25, 24, 12, 13]
Cycle 5: [36, 28, 8, 1, 15, 21, 4, 32, 17, 19, 30, 34, 2, 23, 26, 10, 6, 3, 33, 31, 18, 7, 29, 35, 14, 22, 27, 9, 16, 20, 5, 11, 25, 24, 12, 13]
Cycle 6: [36, 28, 21, 4, 32, 17, 8, 1, 35, 29, 20, 16, 33, 3, 6, 19, 30, 34, 15, 10, 26, 23, 2, 14, 22, 27, 9, 7, 18, 31, 5, 11, 25, 24, 12, 13]
Cycle 7: [36, 28, 21, 4, 32, 17, 8, 1, 35, 29, 20, 5, 31, 18, 7, 2, 23, 26, 10, 15, 34, 30, 19, 6, 3, 33, 16, 9, 27, 22, 14, 11, 25, 24, 12, 13]
Cycle 8: [36, 28, 21, 4, 32, 17, 8, 1, 35, 29, 7, 18, 31, 33, 3, 6, 19, 30, 34, 15, 10, 26, 23, 2, 14, 22, 27, 9, 16, 20, 5, 11, 25, 24, 12, 13]
Cycle 9: [36, 28, 21, 4, 32, 17, 8, 1, 35, 14, 2, 23, 26, 10, 15, 34, 30, 19, 6, 3, 22, 27, 9, 16, 33, 31, 18, 7, 29, 20, 5, 11, 25, 24, 12, 13]
Cycle 10: [36, 28, 21, 4, 32, 17, 8, 1, 15, 10, 26, 23, 2, 34, 30, 19, 6, 3, 33, 16, 20, 29, 35, 14, 22, 27, 9, 7, 18, 31, 5, 11, 25, 24, 12, 13]
Cycle 11: [36, 28, 21, 4, 32, 17, 8, 1, 15, 10, 26, 23, 2, 34, 30, 19, 6, 3, 33, 31, 18, 7, 29, 35, 14, 22, 27, 9, 16, 20, 5, 11, 25, 24, 12, 13]
Cycle 12: [36, 28, 21, 4, 32, 17, 8, 1, 15, 34, 30, 19, 6, 10, 26, 23, 2, 14, 35, 29, 20, 16, 33, 3, 22, 27, 9, 7, 18, 31, 5, 11, 25, 24, 12, 13]
Cycle 13: [36, 28, 21, 4, 32, 17, 8, 1, 15, 34, 30, 19, 6, 10, 26, 23, 2, 14, 35, 29, 7, 18, 31, 33, 3, 22, 27, 9, 16, 20, 5, 11, 25, 24, 12, 13]
Cycle 14: [36, 28, 21, 4, 32, 17, 8, 1, 3, 6, 19, 30, 34, 15, 10, 26, 23, 2, 7, 18, 31, 33, 16, 9, 27, 22, 14, 35, 29, 20, 5, 11, 25, 24, 12, 13]
Cycle 15: [36, 28, 21, 15, 10, 26, 23, 2, 34, 30, 19, 6, 3, 33, 16, 20, 29, 35, 14, 22, 27, 9, 7, 18, 31, 5, 11, 25, 24, 1, 8, 17, 32, 4, 12, 13]
Cycle 16: [36, 28, 21, 15, 10, 26, 23, 2, 34, 30, 19, 6, 3, 33, 16, 20, 29, 35, 1, 8, 17, 32, 4, 5, 31, 18, 7, 9, 27, 22, 14, 11, 25, 24, 12, 13]
Cycle 17: [36, 28, 21, 15, 10, 26, 23, 2, 34, 30, 19, 6, 3, 33, 31, 18, 7, 29, 35, 14, 22, 27, 9, 16, 20, 5, 11, 25, 24, 1, 8, 17, 32, 4, 12, 13]
Cycle 18: [36, 28, 21, 15, 10, 26, 23, 2, 34, 30, 19, 6, 3, 33, 31, 18, 7, 29, 35, 1, 8, 17, 32, 4, 5, 20, 16, 9, 27, 22, 14, 11, 25, 24, 12, 13]
Cycle 19: [36, 28, 21, 15, 10, 26, 23, 2, 34, 30, 19, 6, 3, 33, 31, 18, 7, 29, 20, 16, 9, 27, 22, 14, 35, 1, 8, 17, 32, 4, 5, 11, 25, 24, 12, 13]
Cycle 20: [36, 28, 21, 15, 10, 26, 23, 2, 34, 30, 19, 6, 3, 22, 27, 9, 16, 33, 31, 18, 7, 29, 20, 5, 4, 32, 17, 8, 1, 35, 14, 11, 25, 24, 12, 13]
Cycle 21: [36, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 14, 35, 29, 20, 16, 33, 31, 18, 7, 9, 27, 22, 3, 1, 8, 17, 32, 4, 5, 11, 25, 24, 12, 13]
Cycle 22: [36, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 14, 35, 29, 20, 16, 33, 3, 22, 27, 9, 7, 18, 31, 5, 11, 25, 24, 1, 8, 17, 32, 4, 12, 13]
Cycle 23: [36, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 14, 35, 29, 7, 18, 31, 33, 3, 22, 27, 9, 16, 20, 5, 11, 25, 24, 1, 8, 17, 32, 4, 12, 13]
Cycle 24: [36, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 14, 35, 1, 8, 17, 32, 4, 12, 24, 25, 11, 5, 20, 29, 7, 18, 31, 33, 16, 9, 27, 22, 3, 13]
Cycle 25: [36, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 14, 22, 27, 9, 16, 20, 5, 11, 25, 24, 12, 4, 32, 17, 8, 1, 35, 29, 7, 18, 31, 33, 3, 13]
Cycle 26: [36, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 14, 22, 27, 9, 7, 18, 31, 5, 11, 25, 24, 12, 4, 32, 17, 8, 1, 35, 29, 20, 16, 33, 3, 13]
Cycle 27: [36, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 7, 18, 31, 33, 16, 9, 27, 22, 14, 35, 29, 20, 5, 11, 25, 24, 12, 4, 32, 17, 8, 1, 3, 13]
Cycle 28: [36, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 7, 18, 31, 33, 16, 9, 27, 22, 3, 1, 8, 17, 32, 4, 5, 20, 29, 35, 14, 11, 25, 24, 12, 13]
Cycle 29: [36, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 7, 18, 31, 5, 20, 29, 35, 1, 8, 17, 32, 4, 12, 24, 25, 11, 14, 22, 27, 9, 16, 33, 3, 13]
Cycle 30: [36, 28, 21, 15, 1, 8, 17, 32, 4, 12, 24, 25, 11, 5, 20, 16, 9, 27, 22, 3, 33, 31, 18, 7, 29, 35, 14, 2, 34, 30, 19, 6, 10, 26, 23, 13]
Cycle 31: [36, 28, 21, 15, 1, 8, 17, 32, 4, 12, 24, 25, 11, 5, 31, 18, 7, 9, 27, 22, 3, 33, 16, 20, 29, 35, 14, 2, 34, 30, 19, 6, 10, 26, 23, 13]

 

Hamiltonian cycles for n=37 found: 20

Cycle 1: [37, 27, 9, 16, 20, 29, 35, 14, 22, 3, 33, 31, 18, 7, 2, 34, 30, 19, 6, 10, 26, 23, 13, 36, 28, 21, 15, 1, 8, 17, 32, 4, 5, 11, 25, 24, 12]
Cycle 2: [37, 27, 9, 16, 20, 5, 11, 25, 24, 1, 35, 29, 7, 18, 31, 33, 3, 22, 14, 2, 23, 26, 10, 6, 19, 30, 34, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12]
Cycle 3: [37, 27, 9, 16, 33, 31, 18, 7, 29, 20, 5, 11, 25, 24, 1, 35, 14, 22, 3, 6, 19, 30, 34, 2, 23, 26, 10, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12]
Cycle 4: [37, 27, 9, 16, 33, 31, 18, 7, 2, 34, 30, 19, 17, 32, 4, 21, 15, 1, 8, 28, 36, 13, 23, 26, 10, 6, 3, 22, 14, 35, 29, 20, 5, 11, 25, 24, 12]
Cycle 5: [37, 27, 9, 16, 33, 31, 18, 7, 2, 34, 30, 19, 6, 10, 26, 23, 13, 36, 28, 8, 17, 32, 4, 21, 15, 1, 3, 22, 14, 35, 29, 20, 5, 11, 25, 24, 12]
Cycle 6: [37, 27, 9, 16, 33, 31, 18, 7, 2, 34, 30, 6, 19, 17, 32, 4, 21, 15, 10, 26, 23, 13, 36, 28, 8, 1, 3, 22, 14, 35, 29, 20, 5, 11, 25, 24, 12]
Cycle 7: [37, 27, 9, 16, 33, 31, 18, 7, 2, 34, 15, 21, 4, 32, 17, 19, 30, 6, 10, 26, 23, 13, 36, 28, 8, 1, 3, 22, 14, 35, 29, 20, 5, 11, 25, 24, 12]
Cycle 8: [37, 27, 9, 16, 33, 31, 18, 7, 2, 23, 26, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 3, 22, 14, 35, 29, 20, 5, 11, 25, 24, 1, 8, 17, 32, 4, 12]
Cycle 9: [37, 27, 9, 16, 33, 31, 18, 7, 2, 23, 26, 10, 6, 19, 30, 34, 15, 1, 8, 17, 32, 4, 21, 28, 36, 13, 3, 22, 14, 35, 29, 20, 5, 11, 25, 24, 12]
Cycle 10: [37, 27, 9, 16, 33, 31, 18, 7, 2, 23, 26, 10, 15, 34, 30, 19, 6, 3, 22, 14, 35, 29, 20, 5, 11, 25, 24, 1, 8, 17, 32, 4, 21, 28, 36, 13, 12]
Cycle 11: [37, 27, 9, 16, 33, 31, 18, 7, 2, 14, 22, 3, 6, 19, 30, 34, 15, 10, 26, 23, 13, 36, 28, 21, 4, 32, 17, 8, 1, 35, 29, 20, 5, 11, 25, 24, 12]
Cycle 12: [37, 27, 9, 16, 33, 3, 22, 14, 11, 25, 24, 1, 35, 29, 20, 5, 31, 18, 7, 2, 23, 26, 10, 6, 19, 30, 34, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12]
Cycle 13: [37, 27, 9, 7, 18, 31, 5, 11, 25, 24, 1, 35, 29, 20, 16, 33, 3, 22, 14, 2, 23, 26, 10, 6, 19, 30, 34, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12]
Cycle 14: [37, 27, 22, 14, 11, 25, 24, 1, 35, 29, 20, 5, 31, 18, 7, 9, 16, 33, 3, 6, 19, 30, 34, 2, 23, 26, 10, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12]
Cycle 15: [37, 27, 22, 14, 2, 23, 26, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 3, 33, 31, 18, 7, 9, 16, 20, 29, 35, 1, 8, 17, 32, 4, 5, 11, 25, 24, 12]
Cycle 16: [37, 27, 22, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 1, 8, 28, 36, 13, 23, 26, 10, 6, 30, 19, 17, 32, 4, 21, 15, 34, 2, 14, 11, 25, 24, 12]
Cycle 17: [37, 27, 22, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 1, 8, 28, 36, 13, 23, 26, 10, 15, 21, 4, 32, 17, 19, 6, 30, 34, 2, 14, 11, 25, 24, 12]
Cycle 18: [37, 27, 22, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 1, 24, 25, 11, 14, 2, 23, 26, 10, 6, 19, 30, 34, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12]
Cycle 19: [37, 27, 22, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 1, 15, 21, 4, 32, 17, 8, 28, 36, 13, 23, 26, 10, 6, 19, 30, 34, 2, 14, 11, 25, 24, 12]
Cycle 20: [37, 27, 22, 3, 33, 31, 18, 7, 9, 16, 20, 29, 35, 14, 2, 34, 30, 19, 6, 10, 26, 23, 13, 36, 28, 21, 15, 1, 8, 17, 32, 4, 5, 11, 25, 24, 12]

 

Hamiltonian cycles for n=38 found: 25

Cycle 1: [38, 26, 10, 6, 19, 30, 34, 2, 23, 13, 36, 28, 8, 17, 32, 4, 21, 15, 1, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 22, 27, 37, 12, 24, 25, 11]
Cycle 2: [38, 26, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 23, 2, 14, 35, 29, 20, 5, 31, 18, 7, 9, 16, 33, 3, 22, 27, 37, 12, 4, 32, 17, 8, 1, 24, 25, 11]
Cycle 3: [38, 26, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 23, 2, 14, 22, 3, 33, 16, 20, 29, 35, 1, 8, 17, 32, 4, 5, 31, 18, 7, 9, 27, 37, 12, 24, 25, 11]
Cycle 4: [38, 26, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 23, 2, 14, 22, 3, 33, 31, 18, 7, 29, 35, 1, 8, 17, 32, 4, 5, 20, 16, 9, 27, 37, 12, 24, 25, 11]
Cycle 5: [38, 26, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 23, 2, 7, 18, 31, 5, 20, 29, 35, 14, 22, 3, 33, 16, 9, 27, 37, 12, 4, 32, 17, 8, 1, 24, 25, 11]
Cycle 6: [38, 26, 10, 6, 19, 30, 34, 15, 1, 8, 17, 32, 4, 21, 28, 36, 13, 23, 2, 14, 35, 29, 20, 5, 31, 18, 7, 9, 16, 33, 3, 22, 27, 37, 12, 24, 25, 11]
Cycle 7: [38, 26, 10, 6, 19, 30, 34, 15, 1, 8, 17, 32, 4, 21, 28, 36, 13, 23, 2, 7, 18, 31, 5, 20, 29, 35, 14, 22, 3, 33, 16, 9, 27, 37, 12, 24, 25, 11]
Cycle 8: [38, 26, 10, 6, 30, 19, 17, 32, 4, 21, 15, 34, 2, 23, 13, 36, 28, 8, 1, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 22, 27, 37, 12, 24, 25, 11]
Cycle 9: [38, 26, 10, 15, 34, 30, 19, 6, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 1, 8, 17, 32, 4, 21, 28, 36, 13, 23, 2, 14, 22, 27, 37, 12, 24, 25, 11]
Cycle 10: [38, 26, 10, 15, 21, 28, 36, 13, 23, 2, 34, 30, 19, 6, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 22, 27, 37, 12, 4, 32, 17, 8, 1, 24, 25, 11]
Cycle 11: [38, 26, 10, 15, 21, 28, 36, 13, 23, 2, 34, 30, 19, 6, 3, 22, 14, 35, 1, 8, 17, 32, 4, 5, 20, 29, 7, 18, 31, 33, 16, 9, 27, 37, 12, 24, 25, 11]
Cycle 12: [38, 26, 10, 15, 21, 4, 32, 17, 19, 6, 30, 34, 2, 23, 13, 36, 28, 8, 1, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 22, 27, 37, 12, 24, 25, 11]
Cycle 13: [38, 26, 10, 15, 1, 8, 17, 32, 4, 21, 28, 36, 13, 23, 2, 34, 30, 19, 6, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 22, 27, 37, 12, 24, 25, 11]
Cycle 14: [38, 26, 23, 2, 34, 30, 19, 17, 32, 4, 21, 15, 10, 6, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 22, 27, 37, 12, 13, 36, 28, 8, 1, 24, 25, 11]
Cycle 15: [38, 26, 23, 2, 34, 30, 19, 6, 10, 15, 21, 28, 36, 13, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 22, 27, 37, 12, 4, 32, 17, 8, 1, 24, 25, 11]
Cycle 16: [38, 26, 23, 2, 34, 30, 19, 6, 10, 15, 21, 28, 36, 13, 3, 22, 14, 35, 1, 8, 17, 32, 4, 5, 20, 29, 7, 18, 31, 33, 16, 9, 27, 37, 12, 24, 25, 11]
Cycle 17: [38, 26, 23, 2, 34, 30, 19, 6, 10, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12, 37, 27, 22, 14, 35, 29, 20, 5, 31, 18, 7, 9, 16, 33, 3, 1, 24, 25, 11]
Cycle 18: [38, 26, 23, 2, 34, 30, 19, 6, 10, 15, 1, 8, 17, 32, 4, 21, 28, 36, 13, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 22, 27, 37, 12, 24, 25, 11]
Cycle 19: [38, 26, 23, 13, 36, 28, 8, 1, 35, 29, 20, 5, 31, 18, 7, 9, 16, 33, 3, 6, 10, 15, 21, 4, 32, 17, 19, 30, 34, 2, 14, 22, 27, 37, 12, 24, 25, 11]
Cycle 20: [38, 26, 23, 13, 36, 28, 21, 4, 32, 17, 8, 1, 15, 10, 6, 19, 30, 34, 2, 14, 35, 29, 20, 5, 31, 18, 7, 9, 16, 33, 3, 22, 27, 37, 12, 24, 25, 11]
Cycle 21: [38, 26, 23, 13, 36, 28, 21, 4, 32, 17, 8, 1, 15, 10, 6, 19, 30, 34, 2, 7, 18, 31, 5, 20, 29, 35, 14, 22, 3, 33, 16, 9, 27, 37, 12, 24, 25, 11]
Cycle 22: [38, 26, 23, 13, 36, 28, 21, 15, 10, 6, 19, 30, 34, 2, 14, 35, 29, 20, 5, 31, 18, 7, 9, 16, 33, 3, 22, 27, 37, 12, 4, 32, 17, 8, 1, 24, 25, 11]
Cycle 23: [38, 26, 23, 13, 36, 28, 21, 15, 10, 6, 19, 30, 34, 2, 14, 22, 3, 33, 16, 20, 29, 35, 1, 8, 17, 32, 4, 5, 31, 18, 7, 9, 27, 37, 12, 24, 25, 11]
Cycle 24: [38, 26, 23, 13, 36, 28, 21, 15, 10, 6, 19, 30, 34, 2, 14, 22, 3, 33, 31, 18, 7, 29, 35, 1, 8, 17, 32, 4, 5, 20, 16, 9, 27, 37, 12, 24, 25, 11]
Cycle 25: [38, 26, 23, 13, 36, 28, 21, 15, 10, 6, 19, 30, 34, 2, 7, 18, 31, 5, 20, 29, 35, 14, 22, 3, 33, 16, 9, 27, 37, 12, 4, 32, 17, 8, 1, 24, 25, 11]

 

Hamiltonian cycles for n=39 found: 50

Cycle 1: [39, 25, 24, 12, 37, 27, 9, 16, 20, 5, 11, 38, 26, 23, 13, 36, 28, 8, 17, 32, 4, 21, 15, 1, 35, 29, 7, 18, 31, 33, 3, 22, 14, 2, 34, 30, 19, 6, 10]
Cycle 2: [39, 25, 24, 12, 37, 27, 9, 16, 20, 5, 11, 38, 26, 23, 13, 36, 28, 8, 1, 35, 29, 7, 18, 31, 33, 3, 22, 14, 2, 34, 30, 6, 19, 17, 32, 4, 21, 15, 10]
Cycle 3: [39, 25, 24, 12, 37, 27, 9, 16, 20, 5, 11, 38, 26, 23, 13, 36, 28, 8, 1, 35, 29, 7, 18, 31, 33, 3, 22, 14, 2, 34, 15, 21, 4, 32, 17, 19, 30, 6, 10]
Cycle 4: [39, 25, 24, 12, 37, 27, 9, 16, 33, 31, 18, 7, 2, 34, 30, 19, 17, 32, 4, 21, 15, 1, 8, 28, 36, 13, 23, 26, 38, 11, 5, 20, 29, 35, 14, 22, 3, 6, 10]
Cycle 5: [39, 25, 24, 12, 37, 27, 9, 16, 33, 31, 18, 7, 2, 34, 30, 19, 6, 3, 22, 14, 35, 29, 20, 5, 11, 38, 26, 23, 13, 36, 28, 21, 4, 32, 17, 8, 1, 15, 10]
Cycle 6: [39, 25, 24, 12, 37, 27, 9, 16, 33, 31, 18, 7, 2, 23, 26, 38, 11, 5, 20, 29, 35, 14, 22, 3, 13, 36, 28, 21, 4, 32, 17, 8, 1, 15, 34, 30, 19, 6, 10]
Cycle 7: [39, 25, 24, 12, 37, 27, 9, 16, 33, 31, 18, 7, 2, 23, 13, 36, 28, 21, 4, 32, 17, 8, 1, 15, 34, 30, 19, 6, 3, 22, 14, 35, 29, 20, 5, 11, 38, 26, 10]
Cycle 8: [39, 25, 24, 12, 37, 27, 9, 16, 33, 31, 18, 7, 2, 14, 22, 3, 1, 35, 29, 20, 5, 11, 38, 26, 23, 13, 36, 28, 8, 17, 32, 4, 21, 15, 34, 30, 19, 6, 10]
Cycle 9: [39, 25, 24, 12, 37, 27, 9, 16, 33, 3, 22, 14, 11, 38, 26, 23, 13, 36, 28, 8, 17, 32, 4, 21, 15, 1, 35, 29, 20, 5, 31, 18, 7, 2, 34, 30, 19, 6, 10]
Cycle 10: [39, 25, 24, 12, 37, 27, 9, 16, 33, 3, 22, 14, 11, 38, 26, 23, 13, 36, 28, 8, 1, 35, 29, 20, 5, 31, 18, 7, 2, 34, 30, 6, 19, 17, 32, 4, 21, 15, 10]
Cycle 11: [39, 25, 24, 12, 37, 27, 9, 16, 33, 3, 22, 14, 11, 38, 26, 23, 13, 36, 28, 8, 1, 35, 29, 20, 5, 31, 18, 7, 2, 34, 15, 21, 4, 32, 17, 19, 30, 6, 10]
Cycle 12: [39, 25, 24, 12, 37, 27, 9, 7, 18, 31, 33, 16, 20, 29, 35, 14, 22, 3, 6, 19, 30, 34, 2, 23, 13, 36, 28, 21, 15, 1, 8, 17, 32, 4, 5, 11, 38, 26, 10]
Cycle 13: [39, 25, 24, 12, 37, 27, 9, 7, 18, 31, 33, 16, 20, 29, 35, 14, 22, 3, 13, 36, 28, 21, 15, 1, 8, 17, 32, 4, 5, 11, 38, 26, 23, 2, 34, 30, 19, 6, 10]
Cycle 14: [39, 25, 24, 12, 37, 27, 9, 7, 18, 31, 33, 16, 20, 29, 35, 1, 8, 17, 32, 4, 5, 11, 38, 26, 23, 2, 14, 22, 3, 13, 36, 28, 21, 15, 34, 30, 19, 6, 10]
Cycle 15: [39, 25, 24, 12, 37, 27, 9, 7, 18, 31, 5, 11, 38, 26, 23, 13, 36, 28, 8, 17, 32, 4, 21, 15, 1, 35, 29, 20, 16, 33, 3, 22, 14, 2, 34, 30, 19, 6, 10]
Cycle 16: [39, 25, 24, 12, 37, 27, 9, 7, 18, 31, 5, 11, 38, 26, 23, 13, 36, 28, 8, 1, 35, 29, 20, 16, 33, 3, 22, 14, 2, 34, 30, 6, 19, 17, 32, 4, 21, 15, 10]
Cycle 17: [39, 25, 24, 12, 37, 27, 9, 7, 18, 31, 5, 11, 38, 26, 23, 13, 36, 28, 8, 1, 35, 29, 20, 16, 33, 3, 22, 14, 2, 34, 15, 21, 4, 32, 17, 19, 30, 6, 10]
Cycle 18: [39, 25, 24, 12, 37, 27, 22, 14, 35, 29, 20, 16, 9, 7, 18, 31, 33, 3, 6, 19, 30, 34, 2, 23, 13, 36, 28, 21, 15, 1, 8, 17, 32, 4, 5, 11, 38, 26, 10]
Cycle 19: [39, 25, 24, 12, 37, 27, 22, 14, 35, 29, 20, 16, 9, 7, 18, 31, 33, 3, 13, 36, 28, 21, 15, 1, 8, 17, 32, 4, 5, 11, 38, 26, 23, 2, 34, 30, 19, 6, 10]
Cycle 20: [39, 25, 24, 12, 37, 27, 22, 14, 2, 34, 30, 19, 6, 3, 33, 31, 18, 7, 9, 16, 20, 29, 35, 1, 8, 17, 32, 4, 5, 11, 38, 26, 23, 13, 36, 28, 21, 15, 10]
Cycle 21: [39, 25, 24, 12, 37, 27, 22, 14, 2, 23, 26, 38, 11, 5, 4, 32, 17, 8, 1, 35, 29, 20, 16, 9, 7, 18, 31, 33, 3, 13, 36, 28, 21, 15, 34, 30, 19, 6, 10]
Cycle 22: [39, 25, 24, 12, 37, 27, 22, 14, 2, 23, 13, 36, 28, 21, 15, 34, 30, 19, 6, 3, 33, 31, 18, 7, 9, 16, 20, 29, 35, 1, 8, 17, 32, 4, 5, 11, 38, 26, 10]
Cycle 23: [39, 25, 24, 12, 37, 27, 22, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 1, 8, 28, 36, 13, 23, 26, 38, 11, 14, 2, 34, 30, 6, 19, 17, 32, 4, 21, 15, 10]
Cycle 24: [39, 25, 24, 12, 37, 27, 22, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 1, 8, 28, 36, 13, 23, 26, 38, 11, 14, 2, 34, 15, 21, 4, 32, 17, 19, 30, 6, 10]
Cycle 25: [39, 25, 24, 12, 37, 27, 22, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 1, 15, 21, 4, 32, 17, 8, 28, 36, 13, 23, 26, 38, 11, 14, 2, 34, 30, 19, 6, 10]
Cycle 26: [39, 25, 24, 1, 35, 29, 20, 16, 33, 3, 22, 14, 2, 23, 26, 38, 11, 5, 31, 18, 7, 9, 27, 37, 12, 13, 36, 28, 8, 17, 32, 4, 21, 15, 34, 30, 19, 6, 10]
Cycle 27: [39, 25, 24, 1, 35, 29, 20, 5, 31, 18, 7, 9, 16, 33, 3, 6, 19, 30, 34, 2, 23, 26, 38, 11, 14, 22, 27, 37, 12, 13, 36, 28, 8, 17, 32, 4, 21, 15, 10]
Cycle 28: [39, 25, 24, 1, 35, 29, 20, 5, 31, 18, 7, 2, 23, 26, 38, 11, 14, 22, 3, 33, 16, 9, 27, 37, 12, 13, 36, 28, 8, 17, 32, 4, 21, 15, 34, 30, 19, 6, 10]
Cycle 29: [39, 25, 24, 1, 35, 29, 7, 18, 31, 33, 3, 22, 14, 2, 23, 26, 38, 11, 5, 20, 16, 9, 27, 37, 12, 13, 36, 28, 8, 17, 32, 4, 21, 15, 34, 30, 19, 6, 10]
Cycle 30: [39, 25, 24, 1, 35, 14, 22, 3, 6, 19, 30, 34, 2, 23, 26, 38, 11, 5, 20, 29, 7, 18, 31, 33, 16, 9, 27, 37, 12, 13, 36, 28, 8, 17, 32, 4, 21, 15, 10]
Cycle 31: [39, 25, 24, 1, 8, 28, 36, 13, 12, 37, 27, 22, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 11, 38, 26, 23, 2, 34, 30, 6, 19, 17, 32, 4, 21, 15, 10]
Cycle 32: [39, 25, 24, 1, 8, 28, 36, 13, 12, 37, 27, 22, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 11, 38, 26, 23, 2, 34, 15, 21, 4, 32, 17, 19, 30, 6, 10]
Cycle 33: [39, 25, 24, 1, 8, 17, 32, 4, 21, 28, 36, 13, 12, 37, 27, 9, 16, 33, 31, 18, 7, 2, 23, 26, 38, 11, 5, 20, 29, 35, 14, 22, 3, 6, 19, 30, 34, 15, 10]
Cycle 34: [39, 25, 24, 1, 8, 17, 32, 4, 12, 37, 27, 9, 16, 33, 31, 18, 7, 2, 34, 30, 19, 6, 3, 22, 14, 35, 29, 20, 5, 11, 38, 26, 23, 13, 36, 28, 21, 15, 10]
Cycle 35: [39, 25, 24, 1, 8, 17, 32, 4, 12, 37, 27, 9, 16, 33, 31, 18, 7, 2, 23, 26, 38, 11, 5, 20, 29, 35, 14, 22, 3, 13, 36, 28, 21, 15, 34, 30, 19, 6, 10]
Cycle 36: [39, 25, 24, 1, 8, 17, 32, 4, 12, 37, 27, 9, 16, 33, 31, 18, 7, 2, 23, 13, 36, 28, 21, 15, 34, 30, 19, 6, 3, 22, 14, 35, 29, 20, 5, 11, 38, 26, 10]
Cycle 37: [39, 25, 24, 1, 8, 17, 32, 4, 5, 11, 38, 26, 23, 2, 34, 30, 19, 6, 3, 33, 31, 18, 7, 9, 16, 20, 29, 35, 14, 22, 27, 37, 12, 13, 36, 28, 21, 15, 10]
Cycle 38: [39, 25, 24, 1, 8, 17, 32, 4, 5, 11, 38, 26, 23, 2, 34, 30, 19, 6, 3, 22, 14, 35, 29, 20, 16, 33, 31, 18, 7, 9, 27, 37, 12, 13, 36, 28, 21, 15, 10]
Cycle 39: [39, 25, 24, 1, 8, 17, 32, 4, 5, 11, 38, 26, 23, 2, 14, 35, 29, 20, 16, 9, 7, 18, 31, 33, 3, 22, 27, 37, 12, 13, 36, 28, 21, 15, 34, 30, 19, 6, 10]
Cycle 40: [39, 25, 24, 1, 8, 17, 32, 4, 5, 11, 38, 26, 23, 2, 7, 18, 31, 33, 3, 22, 14, 35, 29, 20, 16, 9, 27, 37, 12, 13, 36, 28, 21, 15, 34, 30, 19, 6, 10]
Cycle 41: [39, 25, 24, 1, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12, 37, 27, 22, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 11, 38, 26, 23, 2, 34, 30, 19, 6, 10]
Cycle 42: [39, 25, 24, 1, 3, 22, 14, 35, 29, 20, 5, 11, 38, 26, 23, 2, 7, 18, 31, 33, 16, 9, 27, 37, 12, 13, 36, 28, 8, 17, 32, 4, 21, 15, 34, 30, 19, 6, 10]
Cycle 43: [39, 25, 11, 38, 26, 23, 2, 14, 22, 27, 37, 12, 24, 1, 35, 29, 20, 5, 31, 18, 7, 9, 16, 33, 3, 13, 36, 28, 8, 17, 32, 4, 21, 15, 34, 30, 19, 6, 10]
Cycle 44: [39, 25, 11, 38, 26, 23, 2, 7, 18, 31, 33, 16, 9, 27, 37, 12, 24, 1, 8, 17, 32, 4, 5, 20, 29, 35, 14, 22, 3, 13, 36, 28, 21, 15, 34, 30, 19, 6, 10]
Cycle 45: [39, 25, 11, 38, 26, 23, 13, 36, 28, 8, 17, 32, 4, 21, 15, 1, 24, 12, 37, 27, 9, 16, 33, 3, 22, 14, 35, 29, 20, 5, 31, 18, 7, 2, 34, 30, 19, 6, 10]
Cycle 46: [39, 25, 11, 38, 26, 23, 13, 36, 28, 8, 17, 32, 4, 21, 15, 1, 24, 12, 37, 27, 22, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 2, 34, 30, 19, 6, 10]
Cycle 47: [39, 25, 11, 38, 26, 23, 13, 36, 28, 8, 1, 24, 12, 37, 27, 9, 16, 33, 3, 22, 14, 35, 29, 20, 5, 31, 18, 7, 2, 34, 30, 6, 19, 17, 32, 4, 21, 15, 10]
Cycle 48: [39, 25, 11, 38, 26, 23, 13, 36, 28, 8, 1, 24, 12, 37, 27, 9, 16, 33, 3, 22, 14, 35, 29, 20, 5, 31, 18, 7, 2, 34, 15, 21, 4, 32, 17, 19, 30, 6, 10]
Cycle 49: [39, 25, 11, 38, 26, 23, 13, 36, 28, 8, 1, 24, 12, 37, 27, 22, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 2, 34, 30, 6, 19, 17, 32, 4, 21, 15, 10]
Cycle 50: [39, 25, 11, 38, 26, 23, 13, 36, 28, 8, 1, 24, 12, 37, 27, 22, 3, 33, 16, 9, 7, 18, 31, 5, 20, 29, 35, 14, 2, 34, 15, 21, 4, 32, 17, 19, 30, 6, 10]

 

Hamiltonian cycles for n=40 found: 64

Cycle 1: [40, 24, 25, 39, 10, 26, 38, 11, 5, 20, 16, 33, 31, 18, 7, 29, 35, 14, 22, 3, 6, 19, 30, 34, 2, 23, 13, 36, 28, 21, 15, 1, 8, 17, 32, 4, 12, 37, 27, 9]
Cycle 2: [40, 24, 25, 39, 10, 26, 38, 11, 5, 20, 29, 35, 14, 22, 27, 37, 12, 4, 32, 17, 8, 1, 3, 6, 19, 30, 34, 15, 21, 28, 36, 13, 23, 2, 7, 18, 31, 33, 16, 9]
Cycle 3: [40, 24, 25, 39, 10, 26, 38, 11, 14, 22, 27, 37, 12, 4, 32, 17, 8, 1, 35, 29, 20, 5, 31, 18, 7, 2, 23, 13, 36, 28, 21, 15, 34, 30, 19, 6, 3, 33, 16, 9]
Cycle 4: [40, 24, 25, 39, 10, 6, 19, 30, 34, 2, 23, 26, 38, 11, 5, 20, 16, 33, 31, 18, 7, 29, 35, 14, 22, 3, 13, 36, 28, 21, 15, 1, 8, 17, 32, 4, 12, 37, 27, 9]
Cycle 5: [40, 24, 25, 39, 10, 6, 19, 30, 34, 2, 23, 26, 38, 11, 5, 20, 16, 33, 31, 18, 7, 29, 35, 14, 22, 3, 1, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12, 37, 27, 9]
Cycle 6: [40, 24, 25, 39, 10, 6, 19, 30, 34, 2, 23, 26, 38, 11, 5, 31, 18, 7, 29, 20, 16, 33, 3, 22, 14, 35, 1, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12, 37, 27, 9]
Cycle 7: [40, 24, 25, 39, 10, 6, 19, 30, 34, 2, 23, 26, 38, 11, 14, 35, 29, 20, 16, 33, 3, 22, 27, 37, 12, 13, 36, 28, 21, 15, 1, 8, 17, 32, 4, 5, 31, 18, 7, 9]
Cycle 8: [40, 24, 25, 39, 10, 6, 19, 30, 34, 2, 23, 26, 38, 11, 14, 35, 29, 7, 18, 31, 33, 3, 22, 27, 37, 12, 13, 36, 28, 21, 15, 1, 8, 17, 32, 4, 5, 20, 16, 9]
Cycle 9: [40, 24, 25, 39, 10, 6, 19, 30, 34, 2, 23, 26, 38, 11, 14, 22, 3, 33, 16, 20, 5, 31, 18, 7, 29, 35, 1, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12, 37, 27, 9]
Cycle 10: [40, 24, 25, 39, 10, 6, 19, 30, 34, 2, 14, 35, 29, 20, 16, 33, 3, 22, 27, 37, 12, 4, 32, 17, 8, 1, 15, 21, 28, 36, 13, 23, 26, 38, 11, 5, 31, 18, 7, 9]
Cycle 11: [40, 24, 25, 39, 10, 6, 19, 30, 34, 2, 14, 35, 29, 7, 18, 31, 33, 3, 22, 27, 37, 12, 4, 32, 17, 8, 1, 15, 21, 28, 36, 13, 23, 26, 38, 11, 5, 20, 16, 9]
Cycle 12: [40, 24, 25, 39, 10, 6, 19, 30, 34, 2, 7, 18, 31, 5, 20, 29, 35, 14, 11, 38, 26, 23, 13, 36, 28, 21, 15, 1, 8, 17, 32, 4, 12, 37, 27, 22, 3, 33, 16, 9]
Cycle 13: [40, 24, 25, 39, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 23, 26, 38, 11, 5, 31, 18, 7, 2, 14, 22, 3, 33, 16, 20, 29, 35, 1, 8, 17, 32, 4, 12, 37, 27, 9]
Cycle 14: [40, 24, 25, 39, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 23, 26, 38, 11, 14, 2, 7, 18, 31, 5, 20, 29, 35, 1, 8, 17, 32, 4, 12, 37, 27, 22, 3, 33, 16, 9]
Cycle 15: [40, 24, 25, 39, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 12, 37, 27, 22, 3, 1, 8, 17, 32, 4, 5, 20, 29, 35, 14, 11, 38, 26, 23, 2, 7, 18, 31, 33, 16, 9]
Cycle 16: [40, 24, 25, 39, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 12, 37, 27, 22, 3, 1, 8, 17, 32, 4, 5, 11, 38, 26, 23, 2, 14, 35, 29, 20, 16, 33, 31, 18, 7, 9]
Cycle 17: [40, 24, 25, 39, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 3, 33, 16, 20, 29, 35, 1, 8, 17, 32, 4, 12, 37, 27, 22, 14, 2, 23, 26, 38, 11, 5, 31, 18, 7, 9]
Cycle 18: [40, 24, 25, 39, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 3, 33, 31, 18, 7, 29, 35, 1, 8, 17, 32, 4, 12, 37, 27, 22, 14, 2, 23, 26, 38, 11, 5, 20, 16, 9]
Cycle 19: [40, 24, 25, 39, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 3, 22, 27, 37, 12, 4, 32, 17, 8, 1, 35, 14, 2, 23, 26, 38, 11, 5, 20, 29, 7, 18, 31, 33, 16, 9]
Cycle 20: [40, 24, 25, 39, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 3, 22, 14, 2, 23, 26, 38, 11, 5, 20, 16, 33, 31, 18, 7, 29, 35, 1, 8, 17, 32, 4, 12, 37, 27, 9]
Cycle 21: [40, 24, 25, 39, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 3, 1, 8, 17, 32, 4, 12, 37, 27, 22, 14, 35, 29, 20, 5, 11, 38, 26, 23, 2, 7, 18, 31, 33, 16, 9]
Cycle 22: [40, 24, 25, 39, 10, 6, 19, 30, 34, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12, 37, 27, 22, 14, 11, 38, 26, 23, 2, 7, 18, 31, 5, 20, 29, 35, 1, 3, 33, 16, 9]
Cycle 23: [40, 24, 25, 39, 10, 6, 19, 30, 34, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12, 37, 27, 22, 3, 1, 35, 14, 2, 23, 26, 38, 11, 5, 20, 29, 7, 18, 31, 33, 16, 9]
Cycle 24: [40, 24, 25, 39, 10, 6, 19, 30, 34, 15, 1, 8, 17, 32, 4, 21, 28, 36, 13, 12, 37, 27, 22, 3, 33, 16, 20, 29, 35, 14, 2, 23, 26, 38, 11, 5, 31, 18, 7, 9]
Cycle 25: [40, 24, 25, 39, 10, 6, 19, 30, 34, 15, 1, 8, 17, 32, 4, 21, 28, 36, 13, 12, 37, 27, 22, 3, 33, 31, 18, 7, 29, 35, 14, 2, 23, 26, 38, 11, 5, 20, 16, 9]
Cycle 26: [40, 24, 25, 39, 10, 6, 30, 19, 17, 32, 4, 21, 15, 34, 2, 23, 26, 38, 11, 5, 20, 16, 33, 31, 18, 7, 29, 35, 14, 22, 3, 1, 8, 28, 36, 13, 12, 37, 27, 9]
Cycle 27: [40, 24, 25, 39, 10, 6, 30, 19, 17, 32, 4, 21, 15, 34, 2, 23, 26, 38, 11, 5, 31, 18, 7, 29, 20, 16, 33, 3, 22, 14, 35, 1, 8, 28, 36, 13, 12, 37, 27, 9]
Cycle 28: [40, 24, 25, 39, 10, 6, 30, 19, 17, 32, 4, 21, 15, 34, 2, 23, 26, 38, 11, 14, 22, 3, 33, 16, 20, 5, 31, 18, 7, 29, 35, 1, 8, 28, 36, 13, 12, 37, 27, 9]
Cycle 29: [40, 24, 25, 39, 10, 6, 3, 33, 16, 20, 29, 35, 14, 22, 27, 37, 12, 13, 36, 28, 8, 1, 15, 21, 4, 32, 17, 19, 30, 34, 2, 23, 26, 38, 11, 5, 31, 18, 7, 9]
Cycle 30: [40, 24, 25, 39, 10, 6, 3, 33, 31, 18, 7, 29, 35, 14, 22, 27, 37, 12, 13, 36, 28, 8, 1, 15, 21, 4, 32, 17, 19, 30, 34, 2, 23, 26, 38, 11, 5, 20, 16, 9]
Cycle 31: [40, 24, 25, 39, 10, 6, 3, 22, 14, 35, 29, 7, 18, 31, 33, 16, 20, 5, 11, 38, 26, 23, 2, 34, 30, 19, 17, 32, 4, 21, 15, 1, 8, 28, 36, 13, 12, 37, 27, 9]
Cycle 32: [40, 24, 25, 39, 10, 15, 34, 30, 19, 6, 3, 33, 16, 20, 29, 35, 1, 8, 17, 32, 4, 21, 28, 36, 13, 12, 37, 27, 22, 14, 2, 23, 26, 38, 11, 5, 31, 18, 7, 9]
Cycle 33: [40, 24, 25, 39, 10, 15, 34, 30, 19, 6, 3, 33, 31, 18, 7, 29, 35, 1, 8, 17, 32, 4, 21, 28, 36, 13, 12, 37, 27, 22, 14, 2, 23, 26, 38, 11, 5, 20, 16, 9]
Cycle 34: [40, 24, 25, 39, 10, 15, 34, 30, 19, 6, 3, 22, 27, 37, 12, 13, 36, 28, 21, 4, 32, 17, 8, 1, 35, 14, 2, 23, 26, 38, 11, 5, 20, 29, 7, 18, 31, 33, 16, 9]
Cycle 35: [40, 24, 25, 39, 10, 15, 34, 30, 19, 6, 3, 22, 14, 2, 23, 26, 38, 11, 5, 20, 16, 33, 31, 18, 7, 29, 35, 1, 8, 17, 32, 4, 21, 28, 36, 13, 12, 37, 27, 9]
Cycle 36: [40, 24, 25, 39, 10, 15, 34, 30, 19, 6, 3, 1, 8, 17, 32, 4, 21, 28, 36, 13, 12, 37, 27, 22, 14, 35, 29, 20, 5, 11, 38, 26, 23, 2, 7, 18, 31, 33, 16, 9]
Cycle 37: [40, 24, 25, 39, 10, 15, 21, 28, 36, 13, 23, 26, 38, 11, 5, 20, 29, 35, 14, 22, 27, 37, 12, 4, 32, 17, 8, 1, 3, 6, 19, 30, 34, 2, 7, 18, 31, 33, 16, 9]
Cycle 38: [40, 24, 25, 39, 10, 15, 21, 28, 36, 13, 23, 26, 38, 11, 14, 22, 27, 37, 12, 4, 32, 17, 8, 1, 35, 29, 20, 5, 31, 18, 7, 2, 34, 30, 19, 6, 3, 33, 16, 9]
Cycle 39: [40, 24, 25, 39, 10, 15, 21, 28, 36, 13, 12, 37, 27, 22, 14, 35, 1, 8, 17, 32, 4, 5, 11, 38, 26, 23, 2, 34, 30, 19, 6, 3, 33, 31, 18, 7, 29, 20, 16, 9]
Cycle 40: [40, 24, 25, 39, 10, 15, 21, 28, 36, 13, 12, 37, 27, 22, 14, 11, 38, 26, 23, 2, 34, 30, 19, 6, 3, 33, 16, 20, 29, 35, 1, 8, 17, 32, 4, 5, 31, 18, 7, 9]
Cycle 41: [40, 24, 25, 39, 10, 15, 21, 28, 36, 13, 12, 37, 27, 22, 14, 11, 38, 26, 23, 2, 34, 30, 19, 6, 3, 33, 31, 18, 7, 29, 35, 1, 8, 17, 32, 4, 5, 20, 16, 9]
Cycle 42: [40, 24, 25, 39, 10, 15, 21, 28, 36, 13, 12, 37, 27, 22, 3, 6, 19, 30, 34, 2, 23, 26, 38, 11, 14, 35, 1, 8, 17, 32, 4, 5, 20, 29, 7, 18, 31, 33, 16, 9]
Cycle 43: [40, 24, 25, 39, 10, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12, 37, 27, 22, 14, 35, 1, 3, 6, 19, 30, 34, 2, 23, 26, 38, 11, 5, 20, 29, 7, 18, 31, 33, 16, 9]
Cycle 44: [40, 24, 25, 39, 10, 15, 21, 4, 32, 17, 19, 6, 30, 34, 2, 23, 26, 38, 11, 5, 20, 16, 33, 31, 18, 7, 29, 35, 14, 22, 3, 1, 8, 28, 36, 13, 12, 37, 27, 9]
Cycle 45: [40, 24, 25, 39, 10, 15, 21, 4, 32, 17, 19, 6, 30, 34, 2, 23, 26, 38, 11, 5, 31, 18, 7, 29, 20, 16, 33, 3, 22, 14, 35, 1, 8, 28, 36, 13, 12, 37, 27, 9]
Cycle 46: [40, 24, 25, 39, 10, 15, 21, 4, 32, 17, 19, 6, 30, 34, 2, 23, 26, 38, 11, 14, 22, 3, 33, 16, 20, 5, 31, 18, 7, 29, 35, 1, 8, 28, 36, 13, 12, 37, 27, 9]
Cycle 47: [40, 24, 25, 39, 10, 15, 1, 8, 17, 32, 4, 21, 28, 36, 13, 12, 37, 27, 22, 14, 35, 29, 20, 16, 33, 3, 6, 19, 30, 34, 2, 23, 26, 38, 11, 5, 31, 18, 7, 9]
Cycle 48: [40, 24, 25, 39, 10, 15, 1, 8, 17, 32, 4, 21, 28, 36, 13, 12, 37, 27, 22, 14, 35, 29, 7, 18, 31, 33, 3, 6, 19, 30, 34, 2, 23, 26, 38, 11, 5, 20, 16, 9]
Cycle 49: [40, 24, 12, 37, 27, 22, 14, 35, 29, 20, 5, 31, 18, 7, 2, 34, 30, 19, 17, 32, 4, 21, 15, 1, 8, 28, 36, 13, 23, 26, 38, 11, 25, 39, 10, 6, 3, 33, 16, 9]
Cycle 50: [40, 24, 12, 37, 27, 22, 14, 35, 29, 20, 5, 31, 18, 7, 2, 34, 30, 19, 6, 10, 39, 25, 11, 38, 26, 23, 13, 36, 28, 8, 17, 32, 4, 21, 15, 1, 3, 33, 16, 9]
Cycle 51: [40, 24, 12, 37, 27, 22, 14, 35, 29, 20, 5, 31, 18, 7, 2, 34, 30, 6, 19, 17, 32, 4, 21, 15, 10, 39, 25, 11, 38, 26, 23, 13, 36, 28, 8, 1, 3, 33, 16, 9]
Cycle 52: [40, 24, 12, 37, 27, 22, 14, 35, 29, 20, 5, 31, 18, 7, 2, 34, 15, 21, 4, 32, 17, 19, 30, 6, 10, 39, 25, 11, 38, 26, 23, 13, 36, 28, 8, 1, 3, 33, 16, 9]
Cycle 53: [40, 24, 12, 37, 27, 22, 14, 35, 29, 20, 5, 31, 18, 7, 2, 23, 26, 38, 11, 25, 39, 10, 6, 19, 30, 34, 15, 1, 8, 17, 32, 4, 21, 28, 36, 13, 3, 33, 16, 9]
Cycle 54: [40, 24, 12, 37, 27, 22, 14, 35, 29, 20, 5, 4, 32, 17, 8, 1, 3, 13, 36, 28, 21, 15, 34, 30, 19, 6, 10, 39, 25, 11, 38, 26, 23, 2, 7, 18, 31, 33, 16, 9]
Cycle 55: [40, 24, 12, 37, 27, 22, 14, 2, 23, 26, 38, 11, 25, 39, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 3, 33, 16, 20, 29, 35, 1, 8, 17, 32, 4, 5, 31, 18, 7, 9]
Cycle 56: [40, 24, 12, 37, 27, 22, 14, 2, 23, 26, 38, 11, 25, 39, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 3, 33, 31, 18, 7, 29, 35, 1, 8, 17, 32, 4, 5, 20, 16, 9]
Cycle 57: [40, 24, 12, 37, 27, 22, 14, 2, 7, 18, 31, 5, 20, 29, 35, 1, 8, 17, 32, 4, 21, 28, 36, 13, 23, 26, 38, 11, 25, 39, 10, 15, 34, 30, 19, 6, 3, 33, 16, 9]
Cycle 58: [40, 24, 12, 37, 27, 22, 3, 33, 16, 20, 29, 35, 14, 2, 34, 30, 19, 6, 10, 39, 25, 11, 38, 26, 23, 13, 36, 28, 21, 15, 1, 8, 17, 32, 4, 5, 31, 18, 7, 9]
Cycle 59: [40, 24, 12, 37, 27, 22, 3, 33, 31, 18, 7, 29, 35, 14, 2, 34, 30, 19, 6, 10, 39, 25, 11, 38, 26, 23, 13, 36, 28, 21, 15, 1, 8, 17, 32, 4, 5, 20, 16, 9]
Cycle 60: [40, 24, 12, 37, 27, 22, 3, 13, 36, 28, 21, 15, 34, 30, 19, 6, 10, 39, 25, 11, 38, 26, 23, 2, 14, 35, 1, 8, 17, 32, 4, 5, 20, 29, 7, 18, 31, 33, 16, 9]
Cycle 61: [40, 24, 1, 35, 29, 7, 18, 31, 5, 20, 16, 33, 3, 22, 14, 2, 23, 26, 38, 11, 25, 39, 10, 6, 19, 30, 34, 15, 21, 4, 32, 17, 8, 28, 36, 13, 12, 37, 27, 9]
Cycle 62: [40, 24, 1, 8, 17, 32, 4, 21, 28, 36, 13, 12, 37, 27, 22, 14, 35, 29, 20, 5, 31, 18, 7, 2, 23, 26, 38, 11, 25, 39, 10, 15, 34, 30, 19, 6, 3, 33, 16, 9]
Cycle 63: [40, 24, 1, 8, 17, 32, 4, 12, 37, 27, 22, 14, 35, 29, 20, 5, 31, 18, 7, 2, 23, 26, 38, 11, 25, 39, 10, 6, 19, 30, 34, 15, 21, 28, 36, 13, 3, 33, 16, 9]
Cycle 64: [40, 24, 1, 8, 17, 32, 4, 5, 20, 16, 33, 31, 18, 7, 29, 35, 14, 22, 3, 6, 19, 30, 34, 2, 23, 26, 38, 11, 25, 39, 10, 15, 21, 28, 36, 13, 12, 37, 27, 9]

 

Hamiltonian cycles for n=41 found: 464

hamiltonian_cycles_41.md

0.07MB

 

Hamiltonian cycles for n=42 found: 1062

hamiltonian_cycles_42.md

0.17MB

 

Hamiltonian cycles for n=43 found: 4337

hamiltonian_cycles_43.md

0.73MB

 

Hamiltonian cycles for n=44 found: 10091

hamiltonian_cycles_44.md

1.74MB

 

Hamiltonian cycles for n=45 found: 21931

hamiltonian_cycles_45.md

3.88MB

 

Hamiltonian cycles for n=46 found: 69623

hamiltonian_cycles_46.md

12.61MB

 

Hamiltonian cycle for n=51

[51, 49, 32, 17, 47, 34, 30, 19, 45, 36, 28, 8, 41, 40, 24, 25, 39, 42, 22, 27, 37, 44, 20, 29, 35, 46, 18, 7, 9, 16, 48, 33, 31, 50, 14, 2, 23, 26, 10, 6, 3, 1, 15, 21, 43, 38, 11, 5, 4, 12, 13]

 

Hamiltonian cycle for n=52

[52, 48, 16, 9, 40, 41, 8, 28, 36, 45, 19, 17, 32, 49, 51, 30, 34, 47, 2, 23, 26, 38, 43, 6, 10, 39, 25, 24, 12, 13, 3, 33, 31, 50, 14, 11, 5, 4, 21, 15, 1, 35, 46, 18, 7, 42, 22, 27, 37, 44, 20, 29]

 

Hamiltonian cycle for n=53

[53, 28, 36, 45, 19, 17, 32, 49, 51, 30, 34, 47, 2, 23, 41, 8, 1, 35, 46, 18, 31, 50, 14, 22, 27, 37, 44, 20, 29, 7, 42, 39, 25, 24, 40, 9, 16, 33, 48, 52, 12, 13, 3, 6, 43, 38, 26, 10, 15, 21, 4, 5, 11]

 

Hamiltonian cycle for n=54

[54, 10, 15, 1, 35, 46, 18, 31, 50, 14, 22, 42, 39, 25, 24, 40, 41, 8, 28, 53, 47, 17, 32, 49, 51, 30, 34, 2, 23, 26, 38, 11, 5, 44, 20, 16, 9, 7, 29, 52, 48, 33, 3, 13, 36, 45, 19, 6, 43, 21, 4, 12, 37, 27]

 

Hamiltonian cycle for n=55

[55, 9, 7, 29, 52, 48, 16, 33, 3, 6, 19, 45, 36, 13, 12, 4, 21, 43, 38, 11, 5, 20, 44, 37, 27, 54, 10, 15, 1, 35, 46, 18, 31, 50, 14, 22, 42, 39, 25, 24, 40, 41, 8, 28, 53, 47, 17, 32, 49, 51, 30, 34, 2, 23, 26]

 

Hamiltonian cycle for n=56

[56, 44, 37, 27, 54, 10, 26, 55, 45, 36, 28, 53, 47, 17, 32, 49, 51, 30, 19, 6, 43, 38, 11, 5, 20, 16, 9, 40, 24, 12, 4, 21, 15, 34, 2, 7, 29, 52, 48, 33, 3, 13, 23, 41, 8, 1, 35, 46, 18, 31, 50, 14, 22, 42, 39, 25]

 

Hamiltonian cycle for n=57

[57, 7, 29, 52, 48, 33, 3, 13, 12, 4, 21, 15, 34, 2, 23, 41, 8, 1, 35, 46, 18, 31, 50, 14, 22, 42, 39, 25, 56, 44, 37, 27, 54, 10, 26, 55, 45, 36, 28, 53, 47, 17, 32, 49, 51, 30, 19, 6, 43, 38, 11, 5, 20, 16, 9, 40, 24]

 

Hamiltonian cycle for n=58

[58, 6, 19, 30, 51, 49, 15, 34, 47, 2, 23, 26, 38, 43, 57, 24, 1, 35, 46, 18, 31, 50, 14, 22, 27, 54, 10, 39, 25, 56, 44, 37, 12, 52, 48, 16, 33, 3, 13, 36, 45, 55, 9, 40, 41, 8, 17, 32, 4, 21, 28, 53, 11, 5, 20, 29, 7, 42]

 

Hamiltonian cycle for n=59

[59, 22, 42, 58, 23, 13, 51, 49, 15, 21, 4, 32, 17, 19, 30, 6, 3, 33, 48, 16, 20, 5, 11, 25, 39, 10, 54, 27, 9, 7, 29, 52, 12, 37, 44, 56, 8, 1, 35, 46, 18, 31, 50, 14, 2, 34, 47, 53, 28, 36, 45, 55, 26, 38, 43, 57, 24, 40, 41]

 

Hamiltonian cycle for n=60

[60, 21, 15, 49, 32, 17, 19, 30, 51, 13, 12, 4, 5, 11, 25, 39, 42, 7, 9, 16, 20, 29, 52, 48, 33, 3, 22, 59, 41, 23, 58, 6, 10, 54, 27, 37, 44, 56, 8, 1, 35, 46, 18, 31, 50, 14, 2, 34, 47, 53, 28, 36, 45, 55, 26, 38, 43, 57, 24, 40]

 

Hamiltonian cycle for n=61

[61, 39, 25, 11, 5, 59, 41, 8, 56, 44, 37, 27, 54, 10, 6, 58, 23, 13, 51, 30, 19, 17, 32, 49, 15, 21, 4, 12, 52, 29, 20, 16, 9, 7, 42, 22, 3, 33, 48, 1, 35, 46, 18, 31, 50, 14, 2, 34, 47, 53, 28, 36, 45, 55, 26, 38, 43, 57, 24, 40, 60]

 

Hamiltonian cycle for n=62

[62, 19, 6, 58, 42, 22, 3, 33, 48, 1, 35, 46, 18, 31, 50, 14, 11, 53, 28, 36, 45, 55, 26, 38, 43, 57, 24, 40, 60, 61, 39, 25, 56, 44, 37, 27, 54, 10, 15, 21, 4, 32, 49, 51, 30, 34, 47, 17, 8, 41, 59, 5, 20, 16, 9, 7, 29, 52, 12, 13, 23, 2]

 

Hamiltonian cycle for n=63

[63, 18, 31, 50, 14, 11, 53, 28, 36, 45, 55, 26, 38, 43, 57, 24, 40, 60, 61, 20, 16, 9, 7, 29, 52, 12, 13, 23, 41, 8, 17, 32, 49, 51, 30, 34, 47, 2, 62, 19, 6, 10, 15, 21, 4, 5, 59, 22, 3, 33, 48, 1, 35, 46, 54, 27, 37, 44, 56, 25, 39, 42, 58]

 

Hamiltonian cycle for n=64

[64, 57, 43, 38, 26, 55, 45, 19, 30, 34, 47, 17, 8, 41, 23, 13, 51, 49, 32, 4, 5, 20, 61, 60, 21, 15, 10, 6, 3, 22, 59, 62, 2, 7, 29, 52, 12, 24, 40, 9, 16, 33, 48, 1, 35, 46, 54, 27, 37, 44, 56, 25, 39, 42, 58, 63, 18, 31, 50, 14, 11, 53, 28, 36]

 

Hamiltonian cycle for n=65

[65, 56, 25, 39, 42, 58, 63, 18, 31, 50, 14, 11, 53, 28, 36, 64, 57, 43, 38, 26, 55, 45, 19, 30, 6, 10, 54, 46, 3, 33, 16, 9, 7, 2, 62, 59, 22, 27, 37, 44, 5, 20, 61, 60, 40, 24, 12, 4, 21, 15, 34, 47, 17, 32, 49, 51, 13, 23, 41, 8, 1, 48, 52, 29, 35]

 

Hamiltonian cycle for n=66

[66, 34, 47, 17, 32, 49, 51, 30, 6, 19, 45, 4, 21, 15, 10, 54, 46, 3, 33, 16, 9, 7, 2, 62, 59, 22, 27, 37, 44, 5, 20, 61, 60, 40, 24, 12, 13, 23, 41, 8, 1, 48, 52, 29, 35, 65, 56, 25, 39, 42, 58, 63, 18, 31, 50, 14, 11, 53, 28, 36, 64, 57, 43, 38, 26, 55]

 

Hamiltonian cycle for n=71

[71, 29, 35, 65, 56, 25, 39, 42, 58, 63, 18, 46, 54, 67, 33, 16, 9, 40, 60, 61, 20, 44, 37, 27, 22, 59, 62, 38, 43, 57, 7, 2, 14, 11, 5, 4, 32, 68, 53, 47, 34, 66, 55, 45, 36, 64, 17, 19, 30, 70, 51, 49, 15, 21, 28, 8, 41, 23, 26, 10, 6, 3, 13, 12, 24, 1, 48, 52, 69, 31, 50]

 

Hamiltonian cycle for n=72

[72, 28, 8, 17, 19, 6, 30, 70, 51, 13, 3, 61, 60, 21, 15, 10, 26, 23, 41, 40, 9, 7, 2, 14, 11, 5, 4, 12, 24, 1, 48, 52, 69, 31, 50, 71, 29, 35, 65, 56, 25, 39, 42, 58, 63, 18, 46, 54, 67, 33, 16, 20, 44, 37, 27, 22, 59, 62, 38, 43, 57, 64, 36, 45, 55, 66, 34, 47, 53, 68, 32, 49]

 

Hamiltonian cycle for n=75

[75, 46, 54, 67, 33, 16, 65, 56, 44, 37, 27, 22, 59, 62, 38, 43, 57, 64, 36, 45, 55, 66, 34, 47, 74, 70, 51, 49, 72, 28, 53, 68, 32, 17, 19, 30, 6, 58, 42, 39, 61, 3, 13, 23, 26, 10, 15, 21, 60, 4, 12, 24, 25, 11, 5, 20, 29, 35, 14, 2, 7, 9, 40, 41, 8, 1, 63, 18, 31, 50, 71, 73, 48, 52, 69]

 

Hamiltonian cycle for n=76

[76, 68, 32, 49, 72, 28, 53, 47, 74, 70, 51, 30, 34, 66, 55, 26, 23, 58, 42, 39, 61, 60, 4, 21, 15, 10, 6, 19, 17, 8, 41, 40, 9, 7, 2, 14, 35, 29, 20, 5, 11, 25, 24, 12, 13, 3, 1, 63, 18, 31, 50, 71, 73, 48, 52, 69, 75, 46, 54, 67, 33, 16, 65, 56, 44, 37, 27, 22, 59, 62, 38, 43, 57, 64, 36, 45]

 

Hamiltonian cycle for n=77

[77, 44, 37, 27, 22, 59, 62, 38, 43, 57, 64, 36, 45, 76, 68, 32, 49, 72, 28, 53, 47, 74, 70, 51, 30, 34, 66, 55, 26, 10, 39, 42, 58, 23, 13, 12, 24, 25, 56, 65, 35, 29, 20, 61, 60, 40, 41, 8, 17, 19, 6, 3, 33, 16, 9, 7, 2, 14, 11, 5, 4, 21, 15, 1, 63, 18, 31, 50, 71, 73, 48, 52, 69, 75, 46, 54, 67]

 

Hamiltonian cycle for n=78

[78, 22, 14, 2, 7, 29, 35, 65, 56, 8, 1, 63, 18, 31, 50, 71, 73, 48, 52, 69, 75, 46, 54, 67, 77, 44, 37, 27, 9, 72, 49, 32, 68, 53, 28, 36, 64, 57, 43, 38, 62, 59, 41, 40, 60, 61, 39, 42, 58, 23, 26, 74, 70, 51, 30, 34, 47, 17, 19, 6, 10, 15, 21, 4, 12, 13, 3, 33, 16, 20, 5, 11, 25, 24, 76, 45, 55, 66]

 

Hamiltonian cycle for n=79

[79, 42, 58, 23, 26, 74, 70, 11, 14, 35, 29, 7, 2, 47, 34, 30, 51, 13, 12, 24, 76, 45, 55, 66, 78, 22, 3, 33, 16, 20, 5, 4, 21, 15, 10, 6, 19, 17, 8, 1, 63, 18, 31, 50, 71, 73, 48, 52, 69, 75, 46, 54, 67, 77, 44, 37, 27, 9, 72, 49, 32, 68, 53, 28, 36, 64, 57, 43, 38, 62, 59, 41, 40, 60, 61, 39, 25, 56, 65]

 

Hamiltonian cycle for n=80

[80, 64, 36, 45, 76, 68, 32, 49, 72, 28, 53, 47, 74, 70, 51, 30, 34, 66, 55, 26, 38, 62, 59, 41, 40, 60, 61, 39, 25, 75, 69, 52, 48, 73, 71, 50, 31, 18, 63, 58, 42, 79, 65, 56, 44, 37, 27, 54, 67, 33, 16, 9, 7, 2, 14, 11, 5, 20, 29, 35, 46, 3, 22, 78, 43, 57, 24, 12, 13, 23, 77, 4, 21, 15, 10, 6, 19, 17, 8, 1]

 

Hamiltonian cycle for n=82

[82, 18, 46, 75, 69, 52, 48, 73, 71, 50, 31, 33, 67, 54, 27, 37, 44, 77, 23, 58, 42, 79, 21, 15, 10, 6, 3, 13, 12, 24, 57, 7, 2, 14, 11, 5, 4, 60, 61, 39, 25, 56, 65, 35, 29, 20, 16, 9, 40, 41, 8, 17, 19, 81, 63, 1, 80, 64, 36, 45, 76, 68, 32, 49, 72, 28, 53, 47, 74, 70, 51, 30, 34, 66, 55, 26, 38, 43, 78, 22, 59, 62]

 

Hamiltonian cycle for n=83

[83, 61, 60, 40, 81, 63, 37, 27, 73, 71, 50, 31, 69, 75, 46, 54, 67, 77, 44, 56, 65, 79, 42, 58, 23, 41, 8, 17, 19, 6, 43, 57, 24, 25, 11, 14, 2, 62, 59, 22, 78, 3, 13, 12, 52, 48, 33, 16, 9, 7, 18, 82, 39, 10, 15, 21, 4, 5, 20, 29, 35, 1, 80, 64, 36, 45, 76, 68, 32, 49, 72, 28, 53, 47, 74, 70, 51, 30, 34, 66, 55, 26, 38]

 

Hamiltonian cycle for n=84

[84, 60, 40, 81, 63, 58, 42, 79, 65, 56, 25, 11, 14, 35, 29, 20, 16, 9, 7, 57, 43, 78, 22, 59, 41, 8, 17, 19, 62, 2, 23, 77, 44, 5, 4, 21, 15, 10, 6, 3, 13, 12, 24, 1, 80, 64, 36, 45, 76, 68, 32, 49, 72, 28, 53, 47, 74, 70, 51, 30, 34, 66, 55, 26, 38, 83, 61, 39, 82, 18, 46, 75, 69, 52, 48, 73, 71, 50, 31, 33, 67, 54, 27, 37]

 

Hamiltonian cycle for n=85

[85, 59, 41, 40, 81, 63, 58, 42, 79, 65, 35, 29, 7, 9, 16, 20, 44, 77, 23, 13, 36, 45, 76, 5, 11, 38, 62, 19, 30, 34, 47, 2, 14, 22, 3, 6, 10, 15, 21, 60, 4, 12, 24, 25, 56, 8, 1, 80, 64, 57, 43, 78, 66, 55, 26, 74, 70, 51, 49, 72, 28, 53, 68, 32, 17, 83, 61, 39, 82, 18, 46, 75, 69, 52, 48, 73, 71, 50, 31, 33, 67, 54, 27, 37, 84]

 

Hamiltonian cycle for n=86

[86, 58, 42, 79, 65, 56, 25, 75, 69, 52, 48, 73, 71, 50, 31, 33, 67, 54, 27, 37, 84, 85, 59, 62, 38, 11, 5, 76, 45, 36, 13, 12, 24, 40, 81, 63, 18, 82, 39, 61, 60, 4, 21, 15, 10, 6, 19, 30, 34, 47, 2, 14, 22, 3, 46, 35, 29, 7, 9, 16, 20, 44, 77, 23, 41, 8, 1, 80, 64, 57, 43, 78, 66, 55, 26, 74, 70, 51, 49, 72, 28, 53, 68, 32, 17, 83]

 

Hamiltonian cycle for n=87

[87, 57, 43, 78, 66, 55, 26, 74, 70, 51, 49, 72, 28, 53, 68, 32, 17, 83, 86, 58, 42, 79, 65, 56, 25, 39, 61, 20, 29, 35, 14, 11, 38, 62, 19, 45, 76, 24, 12, 52, 48, 33, 16, 9, 7, 2, 47, 34, 30, 6, 10, 15, 21, 4, 5, 59, 22, 3, 13, 23, 41, 8, 1, 80, 64, 36, 85, 84, 60, 40, 81, 63, 37, 44, 77, 67, 54, 27, 73, 71, 50, 31, 69, 75, 46, 18, 82]

 

Hamiltonian cycle for n=88

[88, 56, 65, 79, 42, 39, 82, 87, 57, 43, 78, 66, 55, 26, 74, 70, 51, 49, 72, 28, 53, 68, 32, 17, 83, 86, 58, 63, 37, 44, 77, 67, 54, 27, 73, 71, 50, 31, 69, 75, 46, 18, 7, 9, 16, 48, 33, 3, 61, 20, 5, 76, 24, 25, 11, 38, 62, 19, 45, 4, 21, 15, 10, 6, 30, 34, 47, 2, 23, 13, 12, 52, 29, 35, 14, 22, 59, 41, 8, 1, 80, 64, 36, 85, 84, 60, 40, 81]

 

Hamiltonian cycle for n=91

[91, 30, 6, 10, 15, 34, 66, 55, 9, 16, 33, 3, 13, 23, 58, 63, 1, 48, 73, 71, 50, 31, 69, 75, 46, 18, 82, 87, 57, 64, 80, 89, 32, 68, 76, 45, 36, 85, 84, 60, 40, 81, 88, 56, 65, 79, 90, 54, 67, 77, 44, 37, 27, 22, 59, 41, 8, 28, 72, 49, 51, 70, 74, 26, 38, 83, 86, 35, 14, 2, 62, 19, 17, 47, 53, 11, 25, 24, 12, 52, 29, 7, 42, 39, 61, 20, 5, 4, 21, 43, 78]

 

Hamiltonian cycle for n=92

[92, 52, 29, 35, 86, 83, 61, 39, 42, 58, 63, 37, 44, 20, 16, 33, 3, 78, 66, 55, 26, 74, 70, 51, 49, 72, 28, 53, 91, 30, 34, 47, 17, 19, 62, 38, 43, 6, 10, 15, 21, 4, 5, 59, 22, 27, 9, 7, 2, 14, 11, 25, 24, 12, 13, 23, 41, 8, 1, 48, 73, 71, 50, 31, 69, 75, 46, 18, 82, 87, 57, 64, 80, 89, 32, 68, 76, 45, 36, 85, 84, 60, 40, 81, 88, 56, 65, 79, 90, 54, 67, 77]

 

Hamiltonian cycle for n=93

[93, 7, 2, 14, 11, 25, 24, 76, 5, 4, 12, 13, 23, 41, 59, 62, 19, 30, 6, 10, 15, 34, 47, 17, 8, 1, 48, 73, 71, 50, 31, 69, 75, 46, 18, 82, 87, 57, 64, 80, 89, 32, 68, 53, 91, 78, 66, 55, 45, 36, 85, 84, 60, 40, 81, 88, 56, 65, 79, 90, 54, 67, 77, 92, 52, 29, 35, 86, 83, 61, 39, 42, 58, 63, 37, 44, 20, 16, 33, 3, 22, 27, 9, 72, 49, 51, 70, 74, 26, 38, 43, 21, 28]

 

Hamiltonian cycle for n=94

[94, 75, 69, 52, 92, 77, 67, 54, 90, 79, 65, 56, 88, 81, 40, 41, 80, 64, 36, 85, 84, 60, 61, 83, 86, 58, 42, 39, 82, 87, 57, 43, 38, 26, 74, 70, 51, 49, 72, 28, 93, 76, 68, 32, 89, 55, 66, 78, 91, 53, 11, 25, 24, 12, 37, 63, 18, 31, 33, 16, 9, 27, 22, 14, 35, 46, 3, 13, 23, 2, 7, 29, 20, 44, 5, 59, 62, 19, 45, 4, 21, 15, 10, 6, 30, 34, 47, 17, 8, 1, 48, 73, 71, 50]

 

Hamiltonian cycle for n=95

[95, 49, 72, 9, 27, 37, 63, 18, 31, 33, 16, 20, 44, 5, 4, 21, 28, 8, 1, 48, 73, 71, 50, 94, 75, 69, 52, 92, 77, 67, 54, 90, 79, 65, 56, 88, 81, 40, 41, 80, 64, 36, 85, 84, 60, 61, 83, 86, 58, 42, 39, 82, 87, 57, 43, 38, 62, 59, 22, 78, 66, 55, 89, 32, 68, 53, 91, 30, 70, 51, 93, 76, 45, 19, 17, 47, 74, 7, 29, 35, 46, 3, 6, 10, 15, 34, 2, 14, 11, 25, 24, 12, 13, 23, 26]

 

Hamiltonian cycle for n=100

[100, 96, 73, 71, 98, 46, 75, 94, 50, 31, 18, 82, 87, 57, 43, 38, 83, 86, 58, 42, 39, 61, 20, 44, 5, 59, 41, 8, 17, 47, 53, 28, 21, 15, 66, 55, 45, 4, 12, 24, 25, 11, 14, 35, 29, 7, 9, 16, 48, 33, 3, 13, 23, 26, 10, 6, 19, 62, 2, 34, 30, 91, 78, 22, 27, 37, 63, 1, 99, 97, 72, 49, 95, 74, 70, 51, 93, 76, 68, 32, 89, 80, 64, 36, 85, 84, 60, 40, 81, 88, 56, 65, 79, 90, 54, 67, 77, 92, 52, 69]

 

Hamiltonian cycle for n=102

[102, 94, 50, 71, 98, 46, 75, 69, 100, 96, 73, 48, 52, 92, 77, 44, 37, 63, 18, 82, 87, 57, 43, 101, 95, 74, 70, 51, 93, 76, 68, 53, 91, 78, 66, 55, 45, 19, 62, 38, 83, 86, 58, 42, 39, 61, 20, 16, 33, 31, 5, 4, 12, 13, 3, 6, 30, 34, 2, 47, 17, 8, 28, 21, 15, 10, 26, 23, 41, 59, 22, 27, 9, 7, 29, 35, 14, 11, 25, 24, 1, 99, 97, 72, 49, 32, 89, 80, 64, 36, 85, 84, 60, 40, 81, 88, 56, 65, 79, 90, 54, 67]

 

Hamiltonian cycle for n=103

[103, 66, 78, 91, 53, 68, 76, 45, 55, 26, 38, 62, 59, 41, 8, 28, 21, 4, 12, 13, 23, 2, 47, 17, 19, 30, 34, 15, 10, 6, 3, 33, 16, 9, 27, 22, 42, 7, 18, 31, 5, 20, 29, 35, 14, 11, 25, 24, 1, 99, 97, 72, 49, 32, 89, 80, 64, 36, 85, 84, 60, 40, 81, 88, 56, 65, 79, 90, 54, 67, 102, 94, 50, 71, 98, 46, 75, 69, 100, 96, 73, 48, 52, 92, 77, 44, 37, 63, 58, 86, 83, 61, 39, 82, 87, 57, 43, 101, 95, 74, 70, 51, 93]