ToolAssay

Assignment solver — exact minimum-cost worker-to-task matching for resource allo

Assignment solver — exact minimum-cost worker-to-task matching for resource allocation, with deterministic choices and a primal/dual optimality certificate.

Answeringour last check, 2026-09-24
1 of 1checks answered this week
663 msmedian answer time
$0.005listed price per call
$0.005price it asked us

Paid test badge: not yet. The checks above are free: we call the tool without paying and read the payment request it sends back. The Verified badge needs paid calls whose answers match the promised output, and nobody can buy a badge.

Endpoint

POST https://decision-solver.use.x402atlas.com/assignment

CategoryEverything else
Provider hostdecision-solver.use.x402atlas.com
Networkseip155:137, eip155:42161, eip155:8453
Payment schemesexact
Self-reported calls, 30 days2 from 1 payers (the provider's figure, not ours)

Our checks, last 30 days

DayResultHTTPAskedTime
2026-09-24 valid payment request 402$0.005 663 ms

Example input (from the provider)

{
  "body": {
    "costs": [
      [
        4,
        1,
        3
      ],
      [
        2,
        0,
        5
      ],
      [
        3,
        2,
        2
      ]
    ]
  },
  "bodyType": "json",
  "method": "POST",
  "type": "http"
}

Promised output schema (from the provider)

{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "properties": {
    "input": {
      "additionalProperties": false,
      "properties": {
        "body": {
          "additionalProperties": false,
          "properties": {
            "costs": {
              "description": "Rectangular worker-by-task cost matrix; workers <= tasks and each worker receives one distinct task",
              "items": {
                "description": "One worker's signed integer costs in task-index order; every row must have the same length",
                "items": {
                  "description": "Cost of assigning this worker to this task",
                  "maximum": 1000000000,
                  "minimum": -1000000000,
                  "type": "integer"
                },
                "maxItems": 64,
                "minItems": 1,
                "type": "array"
              },
              "maxItems": 64,
              "minItems": 1,
              "type": "array"
            }
          },
          "required": [
            "costs"
          ],
          "type": "object"
        },
        "bodyType": {
          "enum": [
            "json",
            "form-data",
            "text"
          ],
          "type": "string"
        },
        "method": {
          "enum": [
            "POST"
          ],
          "type": "string"
        },
        "type": {
          "const": "http",
          "type": "string"
        }
      },
      "required": [
        "type",
        "method",
        "bodyType",
        "body"
      ],
      "type": "object"
    },
    "output": {
      "properties": {
        "example": {
          "additionalProperties": false,
          "properties": {
            "_atlas": {
              "additionalProperties": false,
              "description": "Atlas documentation and related-route metadata added after deployment",
              "properties": {
                "docs": {
                  "description": "Documentation URL for this bridge",
                  "format": "uri",
                  "maxLength": 512,
                  "type": "string"
                },
                "related": {
                  "description": "Bounded related Atlas routes",
                  "items": {
                    "additionalProperties": false,
                    "description": "One related Atlas route",
                    "properties": {
                      "bridge": {
                        "description": "Related bridge name",
                        "maxLength": 64,
                        "type": "string"
                      },
                      "docs": {
                        "description": "Related bridge documentation URL",
                        "format": "uri",
                        "maxLength": 512,
                        "type": "string"
                      },
                      "summary": {
                        "description": "Short capability summary",
                        "maxLength": 256,
                        "type": "string"
                      },
                      "url": {
                        "description": "Related route URL",
                        "format": "uri",
                        "maxLength": 512,
                        "type": "string"
                      }
                    },
                    "required": [
                      "bridge",
                      "url",
                      "docs",
                      "summary"
                    ],
                    "type": "object"
                  },
                  "maxItems": 3,
                  "type": "array"
                }
              },
              "required": [
                "docs"
              ],
              "type": "object"
            },
            "algorithm_version": {
              "const": "hungarian-min-v1",
              "description": "Pinned deterministic algorithm and certificate contract",
              "type": "string"
            },
            "certificate": {
              "additionalProperties": false,
              "description": "Independently checkable primal/dual certificate for the padded square matrix",
              "properties": {
                "column_potentials": {
                  "description": "Signed column dual potentials",
                  "items": {
                    "description": "Signed dual potential value",
                    "type": "integer"
                  },
                  "maxItems": 64,
                  "minItems": 1,
                  "type": "array"
                },
                "padded_assignment": {
                  "description": "Task index matched to each padded worker",
                  "items": {
                    "description": "Zero-based padded task index",
                    "maximum": 63,
                    "minimum": 0,
                    "type": "integer"
                  },
                  "maxItems": 64,
                  "minItems": 1,
                  "type": "array"
                },
                "row_potentials": {
                  "description": "Signed row dual potentials",
                  "items": {
                    "description": "Signed dual potential value",
                    "type": "integer"
                  },
                  "maxItems": 64,
                  "minItems": 1,
                  "type": "array"
                }
              },
              "required": [
                "padded_assignment",
                "row_potentials",
                "column_potentials"
              ],
              "type": "object"
            },
            "objective": {
              "const": "minimum_total_cost",
              "description": "The solver minimizes the sum of selected assignment costs",
              "type": "string"
            },
            "objective_value": {
              "description": "Proven minimum total cost",
              "maximum": 64000000000,
         

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