HALOWERKDatenvertragswerk
kaprekar four digit basin census
For base2..10 enumerate the ENTIRE fixed4digit integer state space0..base^4-1, always retaining leadingzeros in digit extraction. Kaprekar transition sorts allfourdigits descending minus ascending, evaluated in that base. Return every attractorcycle in actual transition order rotated to minimum integer first, rows sorted by thatfirstmember; exact basin_size and counts by minimum steps until entering its cycle, with cyclemembers atdepth0. Allstates including repeated-digit zero basin.
POST https://datenvertrag.halowerk.com/v1/kaprekar-four-digit-basin-censusEingaben
| Feld | Typ | Pflicht | Beschreibung |
|---|---|---|---|
| base | Siehe Schema | Ja | |
| claimed_basins | Siehe Schema | Ja |
Vollständiges Eingabeschema anzeigen
{
"type": "object",
"additionalProperties": false,
"required": [
"base",
"claimed_basins"
],
"properties": {
"base": {
"anyOf": [
{
"type": "integer",
"minimum": 2,
"maximum": 10
},
{
"type": "null"
}
]
},
"claimed_basins": {
"anyOf": [
{
"type": "array",
"maxItems": 32,
"items": {
"type": "object",
"additionalProperties": false,
"required": [
"cycle",
"basin_size",
"depth_counts"
],
"properties": {
"cycle": {
"type": "array",
"maxItems": 32,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 9999
},
"minItems": 1
},
"basin_size": {
"type": "integer",
"minimum": 1,
"maximum": 10000
},
"depth_counts": {
"type": "array",
"maxItems": 64,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 10000
},
"minItems": 1
}
}
}
},
{
"type": "null"
}
]
}
}
}Veröffentlichtes Eingabebeispiel
{
"base": 10,
"claimed_basins": [
{
"cycle": [
0
],
"basin_size": 10,
"depth_counts": [
1,
9
]
},
{
"cycle": [
6174
],
"basin_size": 9990,
"depth_counts": [
1,
383,
576,
2400,
1272,
1518,
1656,
2184
]
}
]
}Ergebnis & Dokumentation
Maschinenlesbare Dokumentation dieses Hubs
Quelle dieser Seite: der veröffentlichte HALOWERK-Katalog. Stand: 2026-11-07, 02:42 UTC.
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