Bounded Decision Solver
Bin-packing heuristic — deterministic best-fit-decreasing capacity planning for placing items into bins, with feasibility evidence and an honest volume bound.
Offering
- Provider
- decision-solver.use.x402atlas.com
- Method
- POST
- Offering type
- Api Endpoint
- Transport type
- http
- Category
- General Utilities
- Delivery
- Not provided
- Pricing model
- Not provided
- x402 version
- 2
Endpoint context
- URL
https://decision-solver.use.x402atlas.com/bin-pack- MIME type
- Not provided
- First seen
- 2026-10-16T01:50:10.647Z
- Last seen
- Tags
- bin-packing-heuristic, 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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"network": "eip155:8453",
"asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
"amount": "5000",
"payTo": "0x8C128f1Ee62Bb5e47867CfbAe2ad89be325Df1b2"
},
{
"scheme": "exact",
"network": "eip155:137",
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"amount": "5000",
"payTo": "0x8C128f1Ee62Bb5e47867CfbAe2ad89be325Df1b2"
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{
"scheme": "exact",
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"amount": "5000",
"payTo": "0x8C128f1Ee62Bb5e47867CfbAe2ad89be325Df1b2"
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{
"scheme": "exact",
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"asset": "EPjFWdd5AufqSSqeM2qN1xzybapC8G4wEGGkZwyTDt1v",
"amount": "5000",
"payTo": "ASt6xvRyQ7ntERsmcYVMdLqZvz1GEN8Fzexzq62tXrNQ"
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]Observed health
- Status
- Reachable
- Latest latency
- 10 ms
- Average latency
- 14 ms
- HTTP status
- 405
- Last checked
- Reachability
- 100% over 10 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": {
"capacity": {
"description": "Capacity of every produced bin",
"maximum": 1000000000,
"minimum": 1,
"type": "integer"
},
"items": {
"description": "Unique-ID positive-size items; every size must be no greater than capacity",
"items": {
"additionalProperties": false,
"description": "One indivisible item to pack",
"properties": {
"id": {
"description": "Unique printable-ASCII item identifier",
"maxLength": 64,
"minLength": 1,
"pattern": "^[ -~]+$",
"type": "string"
},
"size": {
"description": "Positive size not exceeding the request capacity",
"maximum": 1000000000,
"minimum": 1,
"type": "integer"
}
},
"required": [
"id",
"size"
],
"type": "object"
},
"maxItems": 1000,
"minItems": 1,
"type": "array"
}
},
"required": [
"capacity",
"items"
],
"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": "best-fit-decreasing-v1",
"description": "Pinned deterministic best-fit-decreasing heuristic contract",
"type": "string"
},
"certificate": {
"additionalProperties": false,
"description": "Independently checkable feasibility, conservation, and volume-lower-bound evidence; not a general optimality certificate",
"properties": {
"algorithm": {
"const": "best-fit-decreasing-v1",
"description": "Heuristic algorithm used to produce the packing",
"type": "string"
},
"capacity": {
"description": "Per-bin capacity",
"maximum": 1000000000,
"minimum": 1,
"type": "integer"
},
"capacity_feasible": {
"const": true,
"description": "True when every produced bin load is at most capacity",
"type": "boolean"
},
"item_conservation": {
"const": true,
"description": "True when every input item appears exactly once in the solution",
"type": "boolean"
},
"item_count": {
"description": "Number of input items conserved by the packing",
"maximum": 1000,
"minimum": 1,
"type": "integer"
},
"total_size": {
"description": "Sum of all input item sizes",
"maximum": 1000000000000,
"minimum": 0,
"type": "integer"
},
"volume_lower_bound": {
"description": "ceil(total_size/capacity), a valid lower bound on optimum bin count",
"maximum": 1000,
"minimum": 1,
"type": "integer"
}
},
"required": [
"algorithm",
"item_count",
"total_size",
"capacity",
"volume_lower_bound",
"item_conservation",
"capacity_feasible"
],
"type": "object"
},
"objective": {
"const": "minimum_bin_count",
"description": "The heuristic attempts to minimize produced bin count without exact search",
"type": "string"
},
"objective_value": {
"description": "Produced bin count; it is not necessarily the unknown optimum",
"maximum": 1000,
"minimum": 0,
"type": "integer"
},
"operation": {
"const": "bin-pack",
"description": "Stable route operation name",
"type": "string"
},
"optimal": {
"description": "True only when produced bin count equals the valid volume lower bound; false makes no claim about the unknown optimum",
"type": "boolean"
},
"optimality_gap_upper_bound": {
"description": "Produced bin count minus volume lower bound; an upper bound on the unknown optimality gap, never the actual gap",
"maximum": 999,
"minimum": 0,
"type": "integer"
},
"optimality_proof": {
"const": "matches-volume-lower-bound",
"description": "Present only when optimal is true; omitted when optimal is false",
"type": "string"
},
"solution": {
"additionalProperties": false,
"description": "Deterministic best-fit-decreasing packing",
"properties": {
"bin_count": {
"description": "Number of produced bins",
"maximum": 1000,
"minimum": 0,
"type": "integer"
},
"bins": {
"description": "Produced bins in stable creation order",
"items": {
"additionalProperties": false,
"description": "One produced bin",
"properties": {
"index": {
"description": "Stable zero-based bin index",
"maximum": 999,
"minimum": 0,
"type": "integer"
},
"items": {
"description": "Items placed in this bin in deterministic placement order",
"items": {
"additionalProperties": false,
"description": "One conserved item placement",
"properties": {
"id": {
"description": "Input item identifier",
"maxLength": 64,
"minLength": 1,
"pattern": "^[ -~]+$",
"type": "string"
},
"original_index": {
"description": "Zero-based input index",
"maximum": 999,
"minimum": 0,
"type": "integer"
},
"size": {
"description": "Input item size",
"maximum": 1000000000,
"minimum": 0,
"type": "integer"
}
},
"required": [
"id",
"original_index",
"size"
],
"type": "object"
},
"maxItems": 1000,
"minItems": 1,
"type": "array"
},
"load": {
"description": "Total item size in this bin",
"maximum": 1000000000,
"minimum": 0,
"type": "integer"
},
"remaining": {
"description": "Capacity minus load",
"maximum": 1000000000,
"minimum": 0,
"type": "integer"
}
},
"required": [
"index",
"load",
"remaining",
"items"
],
"type": "object"
},
"maxItems": 1000,
"minItems": 1,
"type": "array"
}
},
"required": [
"bins",
"bin_count"
],
"type": "object"
},
"warnings": {
"description": "Required honesty warning that the heuristic bound is not the actual optimality gap",
"items": {
"description": "Human-readable heuristic interpretation warning",
"type": "string"
},
"maxItems": 1,
"minItems": 1,
"type": "array"
},
"work_units": {
"description": "Candidate-bin feasibility checks performed by the heuristic",
"maximum": 1000000,
"minimum": 0,
"type": "integer"
}
},
"required": [
"operation",
"algorithm_version",
"objective",
"objective_value",
"optimal",
"optimality_gap_upper_bound",
"solution",
"work_units",
"certificate",
"warnings"
],
"type": "object"
},
"type": {
"type": "string"
}
},
"required": [
"type"
],
"type": "object"
}