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latin partial transversal inventory

For one FULLY CAPTURED labelled LATIN SQUARE oforder1..4, square is itsflatROWMAJORsymbolarray ofexactlyorder*order entries0..order-1; everyrow/column containsallsymbolsexactlyonce. Reconstruct EVERY PARTIAL TRANSVERSAL ofEVERYsize: a subsetofcells withNOrepeatedROW,COLUMN,orSYMBOL. Includeemptyset,unextendablepartialchoices,andallmaximumchoices;notonlyfullsizeorder transversals. Cellmask bit(r*order+c) selects ORIGINALcell(r,c);preserveeveryrow/column/symbollabel,nosymmetryquotient. Return.

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Eingaben

Felder des veröffentlichten Eingabeschemas
FeldTypPflichtBeschreibung
orderSiehe SchemaJa
squareSiehe SchemaJa
claimSiehe SchemaJa
Vollständiges Eingabeschema anzeigen
{
  "type": "object",
  "properties": {
    "order": {
      "anyOf": [
        {
          "type": "integer",
          "minimum": 1,
          "maximum": 4
        },
        {
          "type": "null"
        }
      ]
    },
    "square": {
      "anyOf": [
        {
          "type": "array",
          "items": {
            "type": "integer",
            "minimum": 0,
            "maximum": 3
          },
          "minItems": 1,
          "maxItems": 16
        },
        {
          "type": "null"
        }
      ]
    },
    "claim": {
      "anyOf": [
        {
          "type": "object",
          "properties": {
            "masks": {
              "type": "array",
              "items": {
                "type": "integer",
                "minimum": 0,
                "maximum": 65535
              },
              "minItems": 0,
              "maxItems": 256
            },
            "size_histogram": {
              "type": "array",
              "items": {
                "type": "integer",
                "minimum": 0,
                "maximum": 256
              },
              "minItems": 1,
              "maxItems": 5
            },
            "maximum_size": {
              "type": "integer",
              "minimum": 0,
              "maximum": 4
            },
            "maximum_masks": {
              "type": "array",
              "items": {
                "type": "integer",
                "minimum": 0,
                "maximum": 65535
              },
              "minItems": 0,
              "maxItems": 256
            }
          },
          "required": [
            "masks",
            "size_histogram",
            "maximum_size",
            "maximum_masks"
          ],
          "additionalProperties": false
        },
        {
          "type": "null"
        }
      ]
    }
  },
  "required": [
    "order",
    "square",
    "claim"
  ],
  "additionalProperties": false
}

Originalschema öffnen

Veröffentlichtes Eingabebeispiel

{
  "order": 1,
  "square": [
    0
  ],
  "claim": {
    "masks": [
      0,
      1
    ],
    "size_histogram": [
      1,
      1
    ],
    "maximum_size": 1,
    "maximum_masks": [
      1
    ]
  }
}

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Quelle dieser Seite: der veröffentlichte HALOWERK-Katalog. Stand: 2026-11-07, 02:42 UTC.

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