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Bounded Decision Solver · Knapsack

by Bounded Decision Solver

POSTBaseArbitrumPolygon

$0.005

per call · USD Coin on Base

0/1 knapsack solver — exact work-bounded capacity planning and portfolio selection for maximum value, with deterministic ties and reproducible DP evidence.

Endpoint

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

3

Calls / 30d

2

Unique payers / 30d

Sep 1

Last called

exact

Payment scheme

Call this service

TypeScript · @x402/fetch
import { wrapFetchWithPayment } from "@x402/fetch";
import { privateKeyToAccount } from "viem/accounts";

const account = privateKeyToAccount(process.env.PRIVATE_KEY);
const fetchWithPay = wrapFetchWithPayment(fetch, account);

const res = await fetchWithPay("https://decision-solver.use.x402atlas.com/knapsack", {
  method: "POST",
  headers: { "Content-Type": "application/json" },
  body: JSON.stringify({
    "capacity": 7,
    "items": [
      {
        "id": "camera",
        "value": 4,
        "weight": 3
      },
      {
        "id": "battery",
        "value": 5,
        "weight": 4
      },
      {
        "id": "tripod",
        "value": 6,
        "weight": 5
      }
    ]
  }),
});
const data = await res.json();
cURL
curl -X POST \
  "https://decision-solver.use.x402atlas.com/knapsack" \
  -H "Content-Type: application/json" \
  -d '{"capacity":7,"items":[{"id":"camera","value":4,"weight":3},{"id":"battery","value":5,"weight":4},{"id":"tripod","value":6,"weight":5}]}' \
  -H "X-PAYMENT: <signed x402 payment>"

Example response

{
  "algorithm_version": "knapsack-01-dp-v1",
  "evidence": {
    "dp_capacity": 7,
    "dp_items": 3,
    "optimality_proof": false,
    "transcript_encoding": "dpValue[0..capacity] as signed int64 two's-complement, 8-byte big-endian, no prefix",
    "transcript_sha256": "ec9c54475ee83fff14d13c4bc4728d2d22b27125fcf88ed76782a0425e758ecf",
    "verification": "recompute the bounded dynamic program; the digest detects transcript drift but is not an optimality proof"
  },
  "objective": "maximum_total_value",
  "objective_value": 9,
  "operation": "knapsack",
  "optimal": true,
  "solution": {
    "remaining_capacity": 0,
    "selected": [
      {
        "id": "camera",
        "original_index": 0,
        "value": 4,
        "weight": 3
      },
      {
        "id": "battery",
        "original_index": 1,
        "value": 5,
        "weight": 4
      }
    ],
    "used_capacity": 7
  },
  "warnings": [],
  "work_units": 24
}

Payment details

Pay to0x8c128f1ee62bb5e47867cfbae2ad89be325df1b2
AssetUSD Coin · 0x833589fcd6edb6e08f4c7c32d4f71b54bda02913
NetworksBase, Arbitrum, Polygon
Schemesexact

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