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foata major inversion bijection ledger
For an original permutation of0..n-1,n0..7, construct the whole Foata second fundamental bijection Phi, transforming source majorindex into image inversionnumber. Startingempty, append eachnewletter after blockrotation: if newletter exceeds currentlast, cutaftereachsmallerletter, otherwiseaftereachlargerletter; rotateeachblocklastlettertofront beforeappendingnewletter. Return completeimage, imageofEVERYoriginalprefixincludingempty, all1-basedsourcedescentpositions, sumofthosepositions.
POST https://datenvertrag.halowerk.com/v1/foata-major-inversion-bijection-ledgerEingaben
| Feld | Typ | Pflicht | Beschreibung |
|---|---|---|---|
| permutation | Siehe Schema | Ja | |
| claim | Siehe Schema | Ja |
Vollständiges Eingabeschema anzeigen
{
"$schema": "http://json-schema.org/draft-07/schema#",
"type": "object",
"additionalProperties": false,
"required": [
"permutation",
"claim"
],
"properties": {
"permutation": {
"anyOf": [
{
"type": "array",
"maxItems": 7,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 6
},
"uniqueItems": true
},
{
"type": "null"
}
]
},
"claim": {
"anyOf": [
{
"type": "array",
"maxItems": 7,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 6
},
"uniqueItems": true
},
{
"type": "null"
}
]
}
}
}Veröffentlichtes Eingabebeispiel
{
"permutation": [
0,
3,
1,
4,
2
],
"claim": [
3,
4,
0,
1,
2
]
}Ergebnis & Dokumentation
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Quelle dieser Seite: der veröffentlichte HALOWERK-Katalog. Stand: 2026-11-07, 02:42 UTC.
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