HALOWERKDatenvertragswerk
minimum poset chain partition family
For one FULLY CAPTURED original labelled DAG n0..4 on0..n-1, reconstruct EVERY MINIMUM-CARDINALITY PARTITION of its vertices into disjoint CHAINS of the transitive precedence order. edge_mask bitk encodes orderedpair(u,v),u!=v,in increasingu thenincreasingv. Close precedence transitively; direct redundantedges do not change output. closure_rows[u] bitv means STRICT u<v reachability, no diagonal. Every vertex occurs in exactlyONE nonempty chain; any two vertices in a chain must be comparable.
POST https://datenvertrag.halowerk.com/v1/minimum-poset-chain-partition-familyEingaben
| Feld | Typ | Pflicht | Beschreibung |
|---|---|---|---|
| n | Siehe Schema | Ja | |
| edge_mask | Siehe Schema | Ja | |
| claim | Siehe Schema | Ja |
Vollständiges Eingabeschema anzeigen
{
"type": "object",
"properties": {
"n": {
"anyOf": [
{
"type": "integer",
"minimum": 0,
"maximum": 4
},
{
"type": "null"
}
]
},
"edge_mask": {
"anyOf": [
{
"type": "integer",
"minimum": 0,
"maximum": 4095
},
{
"type": "null"
}
]
},
"claim": {
"anyOf": [
{
"type": "object",
"properties": {
"closure_rows": {
"type": "array",
"items": {
"type": "integer",
"minimum": 0,
"maximum": 15
},
"minItems": 0,
"maxItems": 4
},
"minimum_chain_count": {
"type": "integer",
"minimum": 0,
"maximum": 4
},
"covers": {
"type": "array",
"items": {
"type": "array",
"items": {
"type": "array",
"items": {
"type": "integer",
"minimum": 0,
"maximum": 3
},
"minItems": 1,
"maxItems": 4
},
"minItems": 0,
"maxItems": 4
},
"minItems": 0,
"maxItems": 32
},
"count": {
"type": "integer",
"minimum": 0,
"maximum": 32
}
},
"required": [
"closure_rows",
"minimum_chain_count",
"covers",
"count"
],
"additionalProperties": false
},
{
"type": "null"
}
]
}
},
"required": [
"n",
"edge_mask",
"claim"
],
"additionalProperties": false
}Veröffentlichtes Eingabebeispiel
{
"n": 0,
"edge_mask": 0,
"claim": {
"closure_rows": [],
"minimum_chain_count": 0,
"covers": [
[]
],
"count": 1
}
}Ergebnis & Dokumentation
Maschinenlesbare Dokumentation dieses Hubs
Quelle dieser Seite: der veröffentlichte HALOWERK-Katalog. Stand: 2026-11-07, 02:42 UTC.
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