ToolAssay

Weighted interval scheduling solver — exact maximum-weight compatible job schedu

Weighted interval scheduling solver — exact maximum-weight compatible job scheduling with half-open intervals and a complete dynamic-programming certificate.

Answeringour last check, 2026-09-24
1 of 1checks answered this week
635 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/interval-schedule

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$0.005 635 ms

Example input (from the provider)

{
  "body": {
    "intervals": [
      {
        "end": 3,
        "id": "a",
        "start": 0,
        "weight": 5
      },
      {
        "end": 4,
        "id": "b",
        "start": 1,
        "weight": 6
      },
      {
        "end": 5,
        "id": "c",
        "start": 3,
        "weight": 5
      }
    ]
  },
  "bodyType": "json",
  "method": "POST",
  "type": "http"
}

Promised output schema (from the provider)

{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "properties": {
    "input": {
      "additionalProperties": false,
      "properties": {
        "body": {
          "additionalProperties": false,
          "properties": {
            "intervals": {
              "description": "Unique-ID weighted intervals to optimize; adjacent half-open intervals are compatible",
              "items": {
                "additionalProperties": false,
                "description": "One weighted half-open interval [start,end)",
                "properties": {
                  "end": {
                    "description": "Exclusive abstract end time; must be greater than start",
                    "maximum": 1000000000,
                    "minimum": -1000000000,
                    "type": "integer"
                  },
                  "id": {
                    "description": "Unique printable-ASCII interval identifier",
                    "maxLength": 64,
                    "minLength": 1,
                    "pattern": "^[ -~]+$",
                    "type": "string"
                  },
                  "start": {
                    "description": "Inclusive abstract start time",
                    "maximum": 1000000000,
                    "minimum": -1000000000,
                    "type": "integer"
                  },
                  "weight": {
                    "description": "Non-negative objective weight",
                    "maximum": 1000000000,
                    "minimum": 0,
                    "type": "integer"
                  }
                },
                "required": [
                  "id",
                  "start",
                  "end",
                  "weight"
                ],
                "type": "object"
              },
              "maxItems": 1000,
              "minItems": 1,
              "type": "array"
            }
          },
          "required": [
            "intervals"
          ],
          "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": "weighted-interval-dp-v1",
              "description": "Pinned deterministic algorithm and certificate contract",
              "type": "string"
            },
            "certificate": {
              "additionalProperties": false,
              "description": "Complete independently recomputable dynamic-program certificate",
              "properties": {
                "dp_values": {
                  "description": "All n+1 dynamic-program objective values, starting with dp[0]=0",
                  "items": {
                    "description": "Dynamic-program objective value",
                    "maximum": 1000000000000,
                    "minimum": 0,
                    "type": "integer"
                  },
                  "maxItems": 1001,
                  "minItems": 2,
                  "type": "array"
                },
                "predecessors": {
                  "description": "Compatible predecessor indices in sorted order; -1 means none",
                  "items": {
                    "description": "Sorted predecessor index",
                    "maximum": 999,
                    "minimum": -1,
                    "type": "integer"
                  },
                

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