Multiset Complete Kit Count

Count complete typed kits consumable from an explicit inventory using the limiting required multiplicity; empty kit requirements are rejected.

Description

Count complete typed kits consumable from an explicit inventory using the limiting required multiplicity; empty kit requirements are rejected.

The maximum number of identical complete kits is limited by the scarcest required value relative to its per-kit count.

When to use this tool

Count complete typed kits consumable from an explicit inventory using the limiting required multiplicity; empty kit requirements are rejected.

  • Prepare the supplied inventoryJson, kitJson fields for this operation.
  • Compare the complete example with the representation used by your own input before carrying the result into another step.

How to use the tool and how it works

  1. Enter inventoryJson, kitJson. Use the exact text syntax, units and index conventions explained below.
  2. Run the tool. If input validation fails, correct the supplied fields before interpreting any result.
  3. Read result.kits. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.

Normalize inventoryJson and a nonempty positive kitJson. For each required value floor-divide available count by needed count, then return the minimum as kits.1

Input fieldMeaning and representationAccepted input
inventoryJsonJSON text, entered as one text field. The decoded structure is illustrated below; it is not a separate file.Text
kitJsonJSON text, entered as one text field. The decoded structure is illustrated below; it is not a separate file.Text

For the JSON text fields, the following decoded structures show the example records before they are serialized into input strings. Keep field names, list nesting and value types as shown.

json
[
  {
    "field": "inventoryJson",
    "decoded": [
      {
        "value": "a",
        "count": 3
      },
      {
        "value": "b",
        "count": 1
      }
    ]
  },
  {
    "field": "kitJson",
    "decoded": [
      {
        "value": "a",
        "count": 2
      },
      {
        "value": "b",
        "count": 1
      }
    ]
  }
]
Output fieldInterpretation
resultObject containing the named outputs below.
result.kitsThe kits value under the stated formula or text convention.
json
{
  "input": {
    "inventoryJson": "[{\"value\":\"a\",\"count\":3},{\"value\":\"b\",\"count\":1}]",
    "kitJson": "[{\"value\":\"a\",\"count\":2},{\"value\":\"b\",\"count\":1}]"
  },
  "output": {
    "result": {
      "kits": 1
    }
  }
}

Limitations and assumptions

  • Missing required values contribute zero. No inventory is consumed and no alternate recipe or shared-resource optimization is performed.
  • All declared input fields are required and unexpected top-level fields are rejected. Numbers must be finite; lists are limited to 128 entries and ordinary text fields to 8,192 UTF-16 code units, with tighter limits where stated.
  • JSON text inputs must parse within bounded nesting and size limits. Numeric outputs outside the safe finite range are rejected; large exact integer results use decimal strings. Indexes and half-open spans are zero-based unless a rank is explicitly described as one-based.

Alternative or Complementary methods

Keep occurrence sequences separate from count tables. Choose maximum union, additive concatenation or allocation deliberately, and apply any real inventory changes through a system that controls concurrent updates.

References

  1. Tool behavior and example: Multiset Complete Kit Count — tool.io

Similar or alternative tools

  • Multiset One Kit Consumption

    Apply one all-or-nothing typed kit consumption; insufficient inventory remains unchanged rather than partially consumed.

  • Multiset Capped Count Table

    Cap each normalized typed multiplicity at an explicit nonnegative integer and omit resulting zeros; no proportional redistribution.

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