HALOWERKDatenvertragswerk
latin square critical set family
For an original complete Latin square of order1..4 with symbols0..n-1, reconstruct ALL cellsubsets which uniquely complete to that original among EVERY labelled Latin square of sameorder and become nonunique after deleting ANY includedcell. Critical means inclusionminimal, not minimumcardinality only. Return every numericascending rowmajor bitmask (bit r*n+c selects ORIGINAL cell value), exactcount, histogram for ALLsizes0..n*n and smallest/largestsize. No row/column/symbol symmetry.
POST https://datenvertrag.halowerk.com/v1/latin-square-critical-set-familyEingaben
| Feld | Typ | Pflicht | Beschreibung |
|---|---|---|---|
| square | Siehe Schema | Ja | |
| claimed_masks | Siehe Schema | Ja |
Vollständiges Eingabeschema anzeigen
{
"type": "object",
"additionalProperties": false,
"required": [
"square",
"claimed_masks"
],
"properties": {
"square": {
"anyOf": [
{
"type": "array",
"maxItems": 4,
"items": {
"type": "array",
"maxItems": 4,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 3
},
"minItems": 1
},
"minItems": 1
},
{
"type": "null"
}
]
},
"claimed_masks": {
"anyOf": [
{
"type": "array",
"maxItems": 2000,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 65535
}
},
{
"type": "null"
}
]
}
}
}Veröffentlichtes Eingabebeispiel
{
"square": [
[
0,
1,
2,
3
],
[
1,
0,
3,
2
],
[
2,
3,
0,
1
],
[
3,
2,
1,
0
]
],
"claimed_masks": [
1335,
1338,
1340,
1379,
1386,
1388,
1427,
1434,
1436,
1475,
1482,
1485,
1589,
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1596,
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1685,
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1692,
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1738,
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2410,
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2499,
2501,
2506,
2524,
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2619,
2620,
2659,
2661,
2668,
2707,
2709,
2716,
2755,
2757,
2766,
2970,
3477,
3690,
5174,
5178,
5180,
5234,
5251,
5254,
5258,
5261,
5266,
5276,
5282,
5292,
5314,
5414,
5418,
5420,
5474,
5506,
5684,
5762,
5765,
5780,
5796,
5924,
6181,
6182,
6187,
6188,
6196,
6243,
6244,
6307,
6308,
6339,
6341,
6342,
6356,
6436,
6442,
6498,
6562,
6594,
6692,
6787,
6789,
6790,
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7042,
7204,
7210,
7266,
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7301,
7316,
9239,
9241,
9242,
9244,
9272,
9299,
9304,
9363,
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9411,
9417,
9418,
9448,
9496,
9539,
9545,
9546,
9576,
9749,
9752,
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9921,
10049,
10293,
10297,
10300,
10307,
10309,
10313,
10318,
10321,
10332,
10337,
10348,
10417,
10433,
10552,
10561,
10570,
10584,
10600,
10773,
10777,
10780,
10817,
10897,
11032,
11285,
11288,
11329,
11338,
11368,
11409,
13334,
13336,
13394,
13442,
13449,
13480,
13574,
13577,
13578,
13608,
13634,
13844,
13904,
13953,
13968,
13984,
14085,
14176,
14372,
14377,
14401,
14406,
14420,
14497,
14632,
14658,
14672,
14688,
14752,
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14854,
14857,
14868,
14977,
15114,
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15520,
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16696,
16739,
16744,
16803,
16808,
16835,
16841,
16842,
16856,
16949,
16953,
16956,
17009,
17027,
17029,
17033,
17038,
17041,
17052,
17057,
17068,
17089,
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17192,
17249,
17281,
17290,
17304,
17704,
17795,
17801,
17802,
17816,
17976,
18049,
18058,
18072,
18088,
18725,
18728,
18785,
18849,
18881,
18981,
18985,
18988,
19041,
19073,
19841,
20008,
20534,
20537,
20540,
20595,
20643,
20646,
20649,
20652,
20675,
20678,
20681,
20700,
20774,
20776,
20834,
20898,
20930,
21044,
21121,
21126,
21140,
21156,
21284,
21344,
21378,
21392,
21408,
21560,
21634,
21641,
21656,
21672,
22128,
22160,
22176,
22564,
22569,
22625,
22689,
22721,
22880,
22944,
22992,
23592,
23648,
23681,
23696,
23712,
24631,
24633,
24636,
24659,
24665,
24668,
24739,
24745,
24748,
24771,
24777,
24782,
24872,
24899,
24905,
24906,
24920,
25109,
25113,
25116,
25169,
25217,
25349,
25353,
25354,
25368,
25409,
25624,
25731,
25737,
25738,
25768,
25863,
25865,
25866,
26661,
26665,
26668,
26689,
26785,
27141,
27145,
27150,
27653,
27657,
27658,
27688,
27777,
28758,
28994,
29204,
29446,
29520,
33078,
33082,
33084,
33091,
33094,
33098,
33101,
33106,
33116,
33122,
33132,
33202,
33218,
33301,
33302,
33307,
33308,
33332,
33363,
33364,
33427,
33428,
33475,
33477,
33478,
33508,
33556,
33562,
33602,
33605,
33636,
33682,
34070,
34074,
34076,
34114,
34194,
34324,
34330,
34386,
34450,
34498,
35124,
35138,
35141,
35156,
35172,
35348,
35395,
35397,
35398,
35428,
36116,
36418,
36918,
36923,
36924,
36947,
36950,
36956,
37027,
37030,
37036,
37059,
37062,
37069,
37158,
37162,
37164,
37186,
37282,
37396,
37507,
37509,
37510,
37540,
37637,
37638,
37642,
37668,
37762,
37910,
37914,
37916,
37970,
38018,
38150,
38154,
38157,
38948,
38979,
38981,
38982,
38996,
39429,
39430,
39435,
39941,
39942,
39946,
39956,
40002,
41014,
41017,
41020,
41043,
41046,
41049,
41052,
41139,
41155,
41158,
41161,
41196,
41272,
41282,
41289,
41304,
41320,
41492,
41497,
41553,
41617,
41665,
41752,
41793,
41808,
41824,
41872,
42006,
42008,
42066,
42130,
42178,
42576,
42640,
42720,
43060,
43073,
43078,
43092,
43108,
43344,
43360,
43440,
44052,
44098,
44112,
44128,
44176,
45225,
45352,
45697,
45833,
45984,
49446,
49448,
49474,
49481,
49496,
49570,
49684,
49689,
49745,
49793,
49798,
49828,
49925,
49926,
49929,
49930,
49944,
49956,
49985,
50000,
50016,
50050,
50064,
50080,
50438,
50441,
50442,
50456,
50562,
50712,
50768,
50818,
50832,
50848,
51492,
51521,
51536,
51552,
51616,
51717,
51718,
51721,
51748,
51777,
52485,
52624,
52746,
52832,
53337,
54296,
55361,
56329,
56400,
57510,
58498,
59428,
60422,
60576
]
}Ergebnis & Dokumentation
Maschinenlesbare Dokumentation dieses Hubs
Quelle dieser Seite: der veröffentlichte HALOWERK-Katalog. Stand: 2026-11-07, 02:42 UTC.
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