{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://www.calculatorx.com/schemas/math.modulo.output.json",
  "title": "Euclidean remainder / modular inverse — success output",
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  "additionalProperties": false,
  "$defs": {
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        "formula": {
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              "type": "string"
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              "pattern": "^-?[0-9]+$",
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          ]
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          "const": 1
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              "maxLength": 49
            }
          ]
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          "type": "string"
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        }
      },
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    },
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        }
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    "capability_id",
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      "type": "string",
      "description": "Requested tool id"
    },
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      "const": "success"
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      "const": "math.modulo"
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      "description": "Requested tool id"
    },
    "engine": {
      "type": "string"
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      "description": "Normalized calculation inputs (aliases resolved to canonical form)",
      "type": "object",
      "additionalProperties": false,
      "required": [
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          "type": "string",
          "pattern": "^-?[0-9]{1,48}$"
        },
        "modulus": {
          "type": "string",
          "pattern": "^-?[0-9]{1,48}$"
        }
      }
    },
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      "$ref": "#/$defs/calcResult"
    },
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      "type": "object",
      "additionalProperties": false,
      "required": [
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        "unit",
        "formatted"
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      "properties": {
        "value": {
          "$ref": "#/$defs/calcResult"
        },
        "unit": {
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        "formatted": {
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          "type": "object",
          "additionalProperties": false,
          "properties": {
            "id": {
              "type": "string"
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            "expression": {
              "type": "string"
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            "label": {
              "type": "string"
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          }
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    "assumptions": {
      "type": "array",
      "items": {
        "type": "string"
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      "type": "array",
      "items": {
        "type": "object",
        "additionalProperties": false,
        "required": [
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            "type": "string"
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              "description": "Production freshness, e.g. CURRENT"
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}