Bounded Decision Solver
Weighted interval scheduling solver — exact maximum-weight compatible job scheduling with half-open intervals and a complete dynamic-programming certificate.
Offering
- Provider
- decision-solver.use.x402atlas.com
- Method
- POST
- Offering type
- Api Endpoint
- Transport type
- http
- Category
- Science And Education
- Delivery
- Not provided
- Pricing model
- Not provided
- x402 version
- 2
Endpoint context
- URL
https://decision-solver.use.x402atlas.com/interval-schedule- MIME type
- Not provided
- First seen
- 2026-10-16T01:50:06.715Z
- Last seen
- Tags
- weighted-interval-scheduling, optimization, operations-research, bounded-computation, deterministic
Payment pricing
x402 payment terms are the authoritative price for calling this endpoint.
- Payment option 1
- 0.005 USDC
Atomic price: 5000 · Network: eip155:8453 · Asset: USDC · Scheme: exact - Payment option 2
- 0.005 USDC
Atomic price: 5000 · Network: eip155:137 · Asset: USDC · Scheme: exact - Payment option 3
- 0.005 USDC
Atomic price: 5000 · Network: eip155:42161 · Asset: USDC · Scheme: exact - Payment option 4
- 0.005 USDC
Atomic price: 5000 · Network: solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp · Asset: USDC · Scheme: exact
Raw x402 terms
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]Observed health
- Status
- Reachable
- Latest latency
- 10 ms
- Average latency
- 16 ms
- HTTP status
- 405
- Last checked
- Reachability
- 100% over 11 checks
Latency is measured to the first response headers. A reachable result does not verify response accuracy or merchant identity.
Input schema
{
"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 schema
{
"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"
},
"maxItems": 1000,
"minItems": 1,
"type": "array"
},
"sorted_original_indices": {
"description": "Original indices in end/start/input-index order",
"items": {
"description": "Zero-based original input index",
"maximum": 999,
"minimum": 0,
"type": "integer"
},
"maxItems": 1000,
"minItems": 1,
"type": "array"
}
},
"required": [
"sorted_original_indices",
"predecessors",
"dp_values"
],
"type": "object"
},
"objective": {
"const": "maximum_total_weight",
"description": "The solver maximizes total weight across compatible half-open intervals",
"type": "string"
},
"objective_value": {
"description": "Proven maximum total weight",
"maximum": 1000000000000,
"minimum": 0,
"type": "integer"
},
"operation": {
"const": "interval-schedule",
"description": "Stable route operation name",
"type": "string"
},
"optimal": {
"const": true,
"description": "True because the complete dynamic-program certificate establishes this exact optimum",
"type": "boolean"
},
"solution": {
"additionalProperties": false,
"description": "Selected compatible intervals",
"properties": {
"selected": {
"description": "Selected intervals in deterministic reconstruction order; [] is valid when all weights are zero",
"items": {
"additionalProperties": false,
"description": "One selected interval",
"properties": {
"id": {
"description": "Input interval identifier",
"maxLength": 64,
"minLength": 1,
"pattern": "^[ -~]+$",
"type": "string"
},
"original_index": {
"description": "Zero-based input index",
"maximum": 999,
"minimum": 0,
"type": "integer"
}
},
"required": [
"id",
"original_index"
],
"type": "object"
},
"maxItems": 1000,
"type": "array"
}
},
"required": [
"selected"
],
"type": "object"
},
"warnings": {
"description": "Always empty for this exact solver",
"items": {
"description": "Human-readable warning",
"type": "string"
},
"maxItems": 0,
"type": "array"
},
"work_units": {
"description": "Counted predecessor-search and dynamic-program work",
"minimum": 0,
"type": "integer"
}
},
"required": [
"operation",
"algorithm_version",
"objective",
"objective_value",
"optimal",
"solution",
"work_units",
"certificate",
"warnings"
],
"type": "object"
},
"type": {
"type": "string"
}
},
"required": [
"type"
],
"type": "object"
}