Datasets:
id string | family string | size string | dim int8 | num_nodes int32 | num_edges int32 | num_checkpoints int32 | density string | coords list | edges list | checkpoints list | solution list | walls list | bridges list | island list | solver_status string | solver_nodes int64 | solver_ms float32 | seed int64 | split string | layout string | arcs list | precedence list | extras string | checkpoints2 list | solution2 list | unique bool | rating_score float32 | rating_label string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
e8c431a47c8ec4e7 | coop | 5x5 | 2 | 25 | 40 | 8 | default | [
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59f66fc9820f66aa | coop | 5x5 | 2 | 25 | 40 | 4 | sparse | [
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c3d4853f75bd3666 | coop | 5x5 | 2 | 20 | 30 | 10 | dense | [
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] | [] | [] | null | solved | 19 | 0.55 | 3,099,529,809 | train | square | [] | [] | null | [
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c3ad1b94b136d2a6 | coop | 5x5 | 2 | 25 | 40 | 6 | default | [
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c2a450177b45caee | coop | 5x5 | 2 | 20 | 30 | 5 | sparse | [
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] | [] | [] | null | solved | 20 | 0.591 | 1,834,240,807 | train | square | [] | [] | null | [
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d532d91dc8faa669 | coop | 5x5 | 2 | 25 | 40 | 5 | sparse | [
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84323928e0d48a3c | coop | 5x5 | 2 | 25 | 40 | 8 | default | [
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66327e065cf777ac | coop | 7x7 | 2 | 39 | 62 | 7 | sparse | [
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] | [] | [] | null | solved | 37 | 2.062 | 3,443,216,137 | train | square | [] | [] | null | [
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7026d470cc275de1 | coop | 7x7 | 2 | 49 | 75 | 10 | default | [
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] | [] | null | solved | 57 | 3.641 | 818,693,859 | train | square | [] | [] | null | [
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9f11f1b3df8db002 | coop | 7x7 | 2 | 49 | 75 | 5 | sparse | [
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] | [] | null | solved | 50 | 3.222 | 1,736,539,217 | train | square | [] | [] | null | [
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dfa56877f3002dc1 | coop | 7x7 | 2 | 49 | 84 | 9 | default | [
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] | [] | [] | null | solved | 49 | 2.681 | 661,350,153 | train | square | [] | [] | null | [
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26f394ee5d40d80f | coop | 7x7 | 2 | 49 | 120 | 9 | default | [
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] | [] | [] | null | solved | 171 | 8.58 | 1,777,168,316 | train | hex | [] | [] | null | [
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57f8302ea0cd6184 | coop | 7x7 | 2 | 49 | 84 | 5 | sparse | [
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] | [] | [] | null | solved | 53 | 2.944 | 2,213,700,332 | train | square | [] | [] | null | [
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00add0e119c6b6b8 | coop | 7x7 | 2 | 49 | 84 | 9 | default | [
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] | [] | [] | null | solved | 275 | 17.51 | 1,842,150,119 | train | square | [] | [] | null | [
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c702e886141ed5b0 | coop | 7x7 | 2 | 49 | 120 | 7 | sparse | [
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] | [] | [] | null | solved | 60 | 2.672 | 3,060,488,818 | train | hex | [] | [] | null | [
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59935f978c5f1b83 | coop | 7x7 | 2 | 49 | 120 | 7 | sparse | [
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] | [] | [] | null | solved | 49 | 2.35 | 125,067,121 | train | hex | [] | [] | null | [
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616e06b302e94c19 | coop | 7x7 | 2 | 49 | 84 | 10 | default | [
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] | [] | [] | null | solved | 515 | 35.013 | 555,485,963 | train | square | [] | [] | null | [
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5401d9eba65f673b | coop | 7x7 | 2 | 49 | 84 | 18 | dense | [
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] | [] | [] | null | solved | 56 | 3.28 | 1,410,333,858 | train | square | [] | [] | null | [
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9feb65be5be57533 | coop | 7x7 | 2 | 49 | 75 | 6 | sparse | [
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] | [] | null | solved | 105 | 7.372 | 2,421,694,716 | train | square | [] | [] | null | [
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8b142fa85e858d0d | coop | 7x7 | 2 | 49 | 120 | 18 | dense | [
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] | [] | [] | null | solved | 744 | 41.501999 | 868,915,002 | train | hex | [] | [] | null | [
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5fbda64c7b397faa | coop | 7x7 | 2 | 49 | 84 | 6 | sparse | [
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] | [] | [] | null | solved | 49 | 2.768 | 862,133,247 | train | square | [] | [] | null | [
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b0c95af2a0e1ebb7 | coop | 6x6 | 2 | 36 | 85 | 8 | default | [
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[
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[
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] | [] | [] | null | solved | 47 | 1.934 | 2,680,027,706 | train | hex | [] | [] | null | [
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22c20aa5bc739a1c | coop | 6x6 | 2 | 36 | 54 | 7 | default | [
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[
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] | [] | null | solved | 114 | 8.051 | 2,375,115,580 | train | square | [] | [] | null | [
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] | null | null | null |
3c7525f62bfdf1d1 | coop | 6x6 | 2 | 36 | 60 | 8 | default | [
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] | [] | [] | null | solved | 40 | 2.133 | 2,356,158,892 | train | square | [] | [] | null | [
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17
] | null | null | null |
b20a3eac51b8b07c | coop | 6x6 | 2 | 29 | 46 | 8 | default | [
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] | [] | [] | null | solved | 29 | 1.419 | 2,315,050,221 | train | square | [] | [] | null | [
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7d96d8284e2a4d1c | coop | 6x6 | 2 | 36 | 60 | 11 | dense | [
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] | [] | [] | null | solved | 35 | 1.866 | 2,565,715,066 | train | square | [] | [] | null | [
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3ad305a92d2bf893 | coop | 6x6 | 2 | 29 | 46 | 7 | default | [
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[
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[
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] | [] | [] | null | solved | 28 | 1.225 | 3,442,579,972 | train | square | [] | [] | null | [
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] | [
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] | null | null | null |
4da346fde995a4e3 | coop | 6x6 | 2 | 36 | 85 | 5 | sparse | [
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[
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] | [] | [] | null | solved | 9,366 | 293.187988 | 2,848,422,852 | train | hex | [] | [] | null | [
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] | null | null | null |
b5fadbc486d300a3 | coop | 6x6 | 2 | 36 | 60 | 14 | dense | [
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[
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] | [] | [] | null | solved | 36 | 2.018 | 512,515,826 | train | square | [] | [] | null | [
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] | null | null | null |
1f0ad54ffeebe215 | coop | 6x6 | 2 | 36 | 60 | 11 | dense | [
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[
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[
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] | [] | [] | null | solved | 50 | 2.575 | 1,559,041,802 | train | square | [] | [] | null | [
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] | null | null | null |
5f4e4675bfe524b8 | coop | 6x6 | 2 | 29 | 46 | 9 | default | [
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[
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[
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] | [] | [] | null | solved | 29 | 1.531 | 2,547,532,476 | train | square | [] | [] | null | [
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] | [
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18,
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21,
25,
26,
22,
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27,
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] | null | null | null |
c37c076d31d1ac3c | coop | 6x6 | 2 | 36 | 60 | 11 | dense | [
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[
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[
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] | [] | [] | null | solved | 47 | 2.618 | 2,841,370,094 | train | square | [] | [] | null | [
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33,
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] | [
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24,
18,
12,
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1,
2,
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4,
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11
] | null | null | null |
1b84ee1336204641 | coop | 6x6 | 2 | 36 | 85 | 5 | sparse | [
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[
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[
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19,
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] | [] | [] | null | solved | 440 | 15.303 | 3,373,298,117 | train | hex | [] | [] | null | [
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32
] | [
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5,
11,
17,
23,
22,
16,
15,
21,
28,
29,
35,
34,
33,
32
] | null | null | null |
c2c1cb6dc1bd1203 | coop | 6x6 | 2 | 36 | 60 | 7 | default | [
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[
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[
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[
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[
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[
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[
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[
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[
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11,
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1,
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6,
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] | [] | [] | null | solved | 73 | 4.175 | 3,534,284,895 | train | square | [] | [] | null | [
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18,
22
] | [
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9,
15,
14,
13,
12,
18,
24,
30,
31,
25,
19,
20,
21,
22
] | null | null | null |
afc983d3d446e66c | coop | 6x6 | 2 | 36 | 54 | 4 | sparse | [
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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] | [
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],
[
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],
[
16,
17
],
[
18,
19
],
[
21,
22
],
[
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33
]
] | [] | null | solved | 40 | 2.423 | 1,883,754,942 | train | square | [] | [] | null | [
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2
] | [
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24,
18,
12,
6,
0,
1,
7,
13,
14,
8,
9,
3,
2
] | null | null | null |
68baf9bb653a4c29 | coop | 6x6 | 2 | 29 | 47 | 4 | sparse | [
[
1,
0
],
[
1,
1
],
[
1,
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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],
[
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[
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[
... | [
19,
4
] | [
19,
13,
7,
6,
5,
0,
1,
2,
3,
4
] | [] | [] | null | solved | 122 | 5.495 | 2,114,970,299 | train | square | [] | [] | null | [
18,
27
] | [
18,
12,
11,
17,
23,
24,
25,
26,
20,
21,
15,
14,
8,
9,
10,
16,
22,
28,
27
] | null | null | null |
630a918ec4e27d1c | coop | 8x8 | 2 | 64 | 161 | 16 | dense | [
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[
1,
0
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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369fe97db6172a09 | coop | 8x8 | 2 | 51 | 86 | 11 | default | [
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3f1581559dc2d3bf | coop | 8x8 | 2 | 64 | 161 | 6 | sparse | [
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5cbf3d3280737349 | coop | 8x8 | 2 | 64 | 161 | 7 | sparse | [
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76385bba7ee81d70 | coop | 8x8 | 2 | 51 | 85 | 11 | default | [
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6267696321063302 | coop | 8x8 | 2 | 64 | 112 | 7 | sparse | [
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95579b646e409a0e | coop | 8x8 | 2 | 64 | 112 | 6 | sparse | [
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2a41ae1f56398ce9 | coop | 8x8 | 2 | 64 | 161 | 12 | default | [
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4ad94e780b57ab78 | coop | 8x8 | 2 | 64 | 100 | 18 | dense | [
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790d6a2e50ac46d3 | coop | 8x8 | 2 | 64 | 161 | 16 | dense | [
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6bfafd9509d422dc | coop | 8x8 | 2 | 64 | 100 | 18 | dense | [
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c8940fe3658a4b78 | coop | 8x8 | 2 | 51 | 85 | 7 | sparse | [
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fe151a5e7f9278c4 | coop | 8x8 | 2 | 51 | 85 | 6 | sparse | [
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] | [] | [] | null | solved | 196 | 15.695 | 3,882,911,937 | train | square | [] | [] | null | [
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26089da78883915c | coop | 8x8 | 2 | 64 | 112 | 7 | sparse | [
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9b1db9b2b1e140bc | coop | 8x8 | 2 | 51 | 84 | 12 | default | [
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] | [] | [] | null | solved | 153 | 10.011 | 3,586,344,046 | train | square | [] | [] | null | [
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518a7773a2dc7074 | coop | 8x8 | 2 | 64 | 112 | 7 | sparse | [
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] | [] | [] | null | solved | 64 | 4.123 | 3,969,475,884 | train | square | [] | [] | null | [
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5c32847ebf698aee | coop | 8x8 | 2 | 64 | 161 | 16 | dense | [
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] | [] | [] | null | timeout | 22,016 | 1,008.531982 | 4,197,676,808 | train | hex | [] | [] | null | [
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1ca07c63240529fb | coop | 8x8 | 2 | 64 | 112 | 12 | default | [
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] | [] | [] | null | solved | 77 | 4.775 | 1,373,630,167 | train | square | [] | [] | null | [
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27dbd76fb53c8179 | coop | 8x8 | 2 | 64 | 100 | 6 | sparse | [
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] | [] | null | solved | 96 | 7.786 | 1,853,149,368 | train | square | [] | [] | null | [
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82597e61b60748ce | coop | 8x8 | 2 | 64 | 112 | 7 | sparse | [
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605e65ad56b4c18a | coop | 8x8 | 2 | 64 | 112 | 18 | dense | [
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] | [] | [] | null | solved | 227 | 14.787 | 3,419,859,853 | train | square | [] | [] | null | [
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a2fd4fe8c9ebaf7c | coop | 8x8 | 2 | 64 | 112 | 7 | sparse | [
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65cf7078e6529c24 | coop | 9x9 | 2 | 81 | 128 | 12 | default | [
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15891ae6c0820f0c | coop | 9x9 | 2 | 65 | 111 | 8 | sparse | [
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cc3dde7052e92713 | coop | 9x9 | 2 | 81 | 208 | 21 | dense | [
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fdc80c155d91aa4c | coop | 9x9 | 2 | 81 | 144 | 12 | default | [
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5d3428cf61448534 | coop | 9x9 | 2 | 81 | 208 | 19 | dense | [
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31a755313d7beb25 | coop | 9x9 | 2 | 81 | 128 | 8 | sparse | [
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704ab57dc8304da0 | coop | 9x9 | 2 | 65 | 110 | 13 | default | [
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1a765d11399d7c5e | coop | 9x9 | 2 | 81 | 208 | 8 | sparse | [
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b9a22692719c0241 | coop | 9x9 | 2 | 81 | 208 | 8 | sparse | [
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376f38f0c59c82fe | coop | 9x9 | 2 | 81 | 144 | 22 | dense | [
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e467e61dbf9d626b | coop | 9x9 | 2 | 81 | 128 | 13 | default | [
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978848200f530d2e | coop | 9x9 | 2 | 65 | 110 | 12 | default | [
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b8e978c85014ec54 | coop | 9x9 | 2 | 81 | 208 | 12 | default | [
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e99c7fd16e5bf720 | coop | 9x9 | 2 | 81 | 144 | 21 | dense | [
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96e80e449e2f5c1d | coop | 9x9 | 2 | 81 | 208 | 19 | dense | [
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] | [] | [] | null | solved | 1,192 | 62.717999 | 3,049,669,964 | train | hex | [] | [] | null | [
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bf42f285598b424e | coop | 4x4 | 2 | 16 | 33 | 8 | dense | [
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3a219fc99be3d1f8 | coop | 4x4 | 2 | 16 | 33 | 7 | default | [
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e2209b477e90345c | coop | 4x4 | 2 | 16 | 33 | 11 | dense | [
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518bcb9ecaa12c6e | coop | 4x4 | 2 | 16 | 24 | 8 | dense | [
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2ca19e1f105e061b | coop | 4x4 | 2 | 16 | 22 | 4 | sparse | [
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c205de9dba137ad0 | coop | 4x4 | 2 | 13 | 18 | 11 | dense | [
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[
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[
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[
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[
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] | [
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] | [] | [] | null | solved | 11 | 0.305 | 3,929,676,561 | train | square | [] | [] | null | [
4,
5,
8,
12,
11
] | [
4,
5,
9,
8,
12,
11
] | null | null | null |
8b477a34b3964b28 | coop | 4x4 | 2 | 16 | 22 | 8 | dense | [
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[
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] | [] | null | solved | 14 | 0.394 | 2,923,032,065 | train | square | [] | [] | null | [
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] | [
10,
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ffcce48808e6338c | coop | 4x4 | 2 | 16 | 33 | 8 | dense | [
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[
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[
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] | [] | [] | null | solved | 14 | 0.303 | 836,993,855 | train | hex | [] | [] | null | [
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] | [
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40052960e5d6f8f6 | coop | 4x4 | 2 | 16 | 22 | 4 | sparse | [
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[
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[
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] | [] | null | solved | 16 | 0.419 | 3,898,040,275 | train | square | [] | [] | null | [
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] | [
9,
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24366841590576bf | coop | 4x4 | 2 | 16 | 33 | 7 | default | [
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[
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[
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] | [] | [] | null | solved | 19 | 0.424 | 189,082,131 | train | hex | [] | [] | null | [
12,
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] | [
12,
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7146453ee6e500b1 | coop | 4x4 | 2 | 16 | 24 | 5 | default | [
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[
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[
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] | [] | [] | null | solved | 14 | 0.381 | 2,233,909,122 | train | square | [] | [] | null | [
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] | [
4,
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ff70e29abe561430 | coop | 4x4 | 2 | 16 | 33 | 8 | dense | [
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[
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] | [] | [] | null | solved | 14 | 0.246 | 3,257,954,450 | train | hex | [] | [] | null | [
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] | [
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95b3a42ebfebc663 | coop | 4x4 | 2 | 13 | 18 | 11 | dense | [
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[
9... | [
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] | [] | [] | null | solved | 11 | 0.274 | 996,078,363 | train | square | [] | [] | null | [
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] | null | null | null |
48b807d25fb72388 | coop | 4x4 | 2 | 16 | 22 | 4 | sparse | [
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[
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[
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] | [
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] | [] | null | solved | 14 | 0.353 | 2,339,021,699 | train | square | [] | [] | null | [
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] | [
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11,
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3,
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6,
5,
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0,
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] | null | null | null |
31cb2c9672326c82 | coop | 9x9 | 2 | 65 | 113 | 7 | sparse | [
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[
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] | [] | [] | null | solved | 920 | 46.903 | 2,981,883,505 | train | square | [] | [] | null | [
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81c616fc361dcdd6 | coop | 9x9 | 2 | 81 | 144 | 14 | default | [
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[
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16... | [] | [] | null | solved | 815 | 59.441002 | 3,508,252,852 | train | square | [] | [] | null | [
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] | null | null | null |
a6d47b4c09552d50 | coop | 9x9 | 2 | 81 | 128 | 14 | default | [
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[
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[
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[
... | [] | null | solved | 86 | 7.448 | 1,172,023,380 | train | square | [] | [] | null | [
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] | null | null | null |
4487c8384af4ac66 | coop | 9x9 | 2 | 81 | 128 | 14 | default | [
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[
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341b0fff20eb4544 | coop | 9x9 | 2 | 65 | 111 | 14 | default | [
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e5e493d5b453266c | coop | 9x9 | 2 | 81 | 144 | 13 | default | [
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9582ffb2ffce90f2 | coop | 7x7 | 2 | 49 | 75 | 14 | dense | [
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eb6cfebd7f49166c | coop | 7x7 | 2 | 49 | 120 | 10 | default | [
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10a77394f377b754 | coop | 7x7 | 2 | 49 | 120 | 18 | dense | [
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648e6f76a168a270 | coop | 7x7 | 2 | 39 | 62 | 7 | sparse | [
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End of preview. Expand in Data Studio
Zip Puzzles on Graphs
20,000,000 solvable puzzles in the style of LinkedIn's Zip game — draw one path that visits every cell exactly once, passing the numbered checkpoints in order — generalised from the square grid to 16 puzzle types: walls, irregular shapes, islands joined by bridges, 3D cubes, 4D hypercubes, portals, wraparound boards, hex and triangle boards, one-way arrows, overpasses, keys & doors, cube surfaces and two-path co-op. Every puzzle comes with a verified solution and a difficulty signal from an exact solver.
Plus a unique config: 200,000 puzzles proven to have exactly one solution, each with a
human-style difficulty rating (Easy → Insane) — the "real game" kind.
Generated with ThVerg/AiZipSolve
(scripts/build_hf_dataset.py, parts merged with scripts/merge_hf_dataset.py), which also contains the
game (playable online), the exact solver and a GNN agent.
from datasets import load_dataset
ds = load_dataset("FAVERG/zip-puzzles") # all 20M puzzles
portals = load_dataset("FAVERG/zip-puzzles", "portals") # one puzzle type
unique = load_dataset("FAVERG/zip-puzzles", "unique") # 200k unique-solution, human-rated
Puzzle types
| config | sizes | what it is | main | unique |
|---|---|---|---|---|
grid2d |
4×4 … 12×12 | classic square grid | 3,123,553 | 21,760 |
walls |
5×5 … 12×12 | grid with blocked edges | 1,498,029 | 15,228 |
mask |
6×6 … 12×12 box | irregular connected shape | 1,199,689 | 13,110 |
islands |
2 … 8 islands | organic islands, the path crosses back and forth, decoy bridges | 1,493,003 | 15,217 |
islands_chain |
2 … 4 islands | rectangular islands in a chain, one bridge each | 351,219 | 6,580 |
grid3d |
3³ … 6³ | 3D cube | 1,491,405 | 10,894 |
grid4d |
2⁴ … 4⁴ | 4D hypercube | 843,102 | 5,126 |
portals |
5×5 … 12×12 | grid + portal pairs (an edge between two far cells) | 1,243,381 | 13,020 |
torus |
4×4 … 10×10 | wraparound grid: leaving one edge enters the opposite one | 1,109,943 | 13,124 |
hex |
side 3 … 7 | hexagonal board (layout = hex, axial coords) |
1,109,572 | 12,990 |
tri |
side 2 … 6 | triangle board (layout = tri) |
972,526 | 12,101 |
oneway |
5×5 … 12×12 | grid + one-way arrows (arcs) |
1,123,513 | 13,039 |
overpass |
5×5 … 12×12 | bridge cells crossed twice: once across, once along (two nodes, same coords) | 1,125,560 | 13,039 |
keys |
5×5 … 12×12 | keys & doors: a door may only be entered after its key (precedence) |
1,098,907 | 13,080 |
cubesurf |
2³ … 5³ | the six faces of a cube, 3D coords | 1,117,342 | 10,835 |
coop |
4×4 … 10×10 | two paths that together cover every cell (checkpoints2, solution2) |
1,099,256 | 10,857 |
density is sparse / default / dense (≈0.6× / 1× / 1.6× the default number of checkpoints, which
grows like 1.4·√n). Unique-subset ratings: Easy 69,368 · Medium 47,918 · Hard 40,841 · Expert 26,946 · Insane 14,927.
Schema
Every puzzle is a graph: nodes 0..num_nodes-1, positions in coords, adjacency in edges. A valid
solution is a Hamiltonian path over edges that starts at checkpoints[0], ends at checkpoints[-1]
and visits the checkpoints in order (checkpoint i is the number i+1), never uses a one-way edge in
arcs backwards, and visits each precedence pair's first node before its second.
| column | type | description |
|---|---|---|
id |
string | content hash of the puzzle (graph, checkpoints, and arcs / precedence / second path when present) |
family |
string | puzzle type (see table) |
size |
string | e.g. 7x7, 4x4x4, 5 islands, hexagon side 4 |
dim |
int8 | dimension of coords (2, 3 or 4) |
num_nodes, num_edges, num_checkpoints |
int32 | (co-op: checkpoints of both paths) |
density |
string | checkpoint density bucket |
coords |
list[list[int16]] | integer position of every node |
edges |
list[[int32, int32]] | undirected edges — every traversable connection (walls are missing edges; bridges, portals and wraps are included) |
checkpoints |
list[int32] | node ids of the numbers 1, 2, 3, … (co-op: path 1) |
solution |
list[int32] | one valid path (co-op: path 1) |
walls |
list[[int32, int32]] | for walls: grid-adjacent pairs that are blocked |
bridges |
list[[int32, int32]] | for islands: edges between islands (some are decoys) |
island |
list[int16] or null | island index of every node |
layout |
string | square, hex or tri |
arcs |
list[[int32, int32]] | one-way edges: [u, v] may only be traversed u → v |
precedence |
list[[int32, int32]] | [a, b]: a must be visited before b (key before door) |
extras |
string (JSON) or null | type-specific details: portals, torus/wrap_edges, overpass nodes, keys, cube face, island_layout |
checkpoints2, solution2 |
list[int32] or null | co-op: the second path's checkpoints and solution |
solver_status |
string | exact solver within 1 s: solved or timeout (every puzzle is solvable) |
solver_nodes |
int64 | search nodes the exact solver expanded — a difficulty signal |
solver_ms |
float32 | solver wall time |
unique |
bool or null | true in the unique config (exactly one solution, proven) |
rating_score, rating_label |
float32, string | human-style difficulty 0–100 and Easy … Insane (unique config) |
seed |
int64 | generator seed |
split |
string | train / validation / test |
In the main configs solutions are not necessarily unique: any path satisfying the rules is correct.
Checking a solution
def is_valid(row, path):
n = row["num_nodes"]
adj = {tuple(sorted(e)) for e in row["edges"]}
if len(path) != n or len(set(path)) != n:
return False
if any(tuple(sorted(p)) not in adj for p in zip(path, path[1:])):
return False
pos = {v: i for i, v in enumerate(path)}
order = [pos[c] for c in row["checkpoints"]]
if path[0] != row["checkpoints"][0] or path[-1] != row["checkpoints"][-1] or order != sorted(order):
return False
if any(pos[v] + 1 == pos[u] for u, v in row["arcs"] or []): # one-way edge used backwards
return False
return all(pos[a] < pos[b] for a, b in row["precedence"] or []) # keys before doors
For co-op (family == "coop") the two paths must be vertex-disjoint and together cover every node; each
follows the rules above with its own checkpoints (checkpoints / checkpoints2).
Splits
A pure function of id: x = int.from_bytes(sha1(id)[8:16], "big") % 100 → test if x < 5, validation if
x < 10, else train. The hash is independent of how the puzzles were generated and selected, so the split is
an unbiased 90 / 5 / 5 for every type. Duplicates are removed, and puzzles from the project's frozen
benchmark sets are excluded.
| split | main | unique |
|---|---|---|
| train | 17,999,763 | 180,037 |
| validation | 1,001,712 | 9,965 |
| test | 998,525 | 9,998 |
Exact solver: 80.9% of the main puzzles solved within 1 s on one CPU core; the timeout ones
(mostly large 3D/4D, cube surfaces, 12×12 and co-op) are the hardest.
How it was made
Each puzzle is built path-first: a random Hamiltonian path is generated on the graph (randomised DFS +
backbite mixing), then checkpoints are placed along it, so every puzzle is solvable by construction. Islands
are carved from one big grid whose path is steered (MCMC) to cross island boundaries several times; walls and
decoy one-way arrows are placed only where the solution doesn't need them; keys are placed before their doors
along the solution; overpasses are grown on straight crossings of the path; co-op boards split and reshuffle
a path into two. The unique subset adds checkpoints until the exact solver proves there is only one
solution, then rates the puzzle with a human-style deduction solver.
License
MIT
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