{
  "request": {
    "program": "#! title Three workers, three jobs\n#! about A 3×3 grid: row r is a worker, column c a job, and + means worker r takes job c. Each row and each column holds exactly one +, every other cell -. The first version could not write this above 2×2; here each cell takes only + and -, and every state of lowest energy is one of the six assignments.\n#! expect works\n#! item cell\n#! plus chosen\n#! minus not chosen\n#! check exactly 1 0-1-2 3-4-5 6-7-8 0-3-6 1-4-7 2-5-8\n#\n# Variable 3·r + c is the cell of row r and column c: + chosen, - not.\nvars 9\nexactly 1 0 1 2\nexactly 1 3 4 5\nexactly 1 6 7 8\nexactly 1 0 3 6\nexactly 1 1 4 7\nexactly 1 2 5 8\nsolve restarts=8 steps=40\n",
    "seed": "7"
  },
  "result": {
    "protocol": "wai.quantum.landscape/2",
    "label": "A classical emulator of the settling model of a planned energy-based processor, running on your machine. Energies are computed exactly. The joule line prices a run at temperature 0 at the settle rate measured on an FPGA board running this project's open reference design, with a published figure for one integer add beside it for scale, and leaves a run above temperature 0 unpriced, saying why. No photonic hardware, custom chip or quantum effect is involved in this run.",
    "member": {
      "id": "cpu:reference",
      "class": "cpu",
      "kernel": "wai.quantum.landscape2/sample",
      "parity": "reference"
    },
    "program_digest": "191eaa2742c11adcdca2c4af2eedd897cd6406d6c4f93a7ce4924191645448dc",
    "title": "Three workers, three jobs",
    "about": "A 3×3 grid: row r is a worker, column c a job, and + means worker r takes job c. Each row and each column holds exactly one +, every other cell -. The first version could not write this above 2×2; here each cell takes only + and -, and every state of lowest energy is one of the six assignments.",
    "item": "cell",
    "expect": "works",
    "variables": 9,
    "pairs": 18,
    "seed": "7",
    "mode": "sample",
    "mode_words": "Sampling (above temperature 0): 8 random starts of 40 sweeps each, cooling from temperature 2 to 0. That temperature is the default: the square root of the mean couplings a variable has, and at least 1. The lowest energy found is kept. The randomness is classical, from a seeded generator.",
    "temperature": 2.0,
    "temperature_from": "landscape",
    "restarts": 8,
    "sweeps": 40,
    "state": "--++---+-",
    "groups": [
      {
        "name": "chosen",
        "items": [
          2,
          3,
          7
        ]
      },
      {
        "name": "not chosen",
        "items": [
          0,
          1,
          4,
          5,
          6,
          8
        ]
      }
    ],
    "energy": -21,
    "truth": {
      "arrangements": 19683,
      "lowest": -21.0,
      "at_lowest": 6,
      "at_lowest_passing": 6,
      "example": "--+-+-+--"
    },
    "reached": true,
    "declared": null,
    "warnings": [],
    "checks": [
      {
        "kind": "exactly",
        "passed": true,
        "detail": "All 6 groups hold exactly 1 +, and their other variables −."
      }
    ],
    "verdict": "solved",
    "summary": "It reached energy -21. That is the lowest possible: all 19,683 arrangements were checked, and 6 of them share it.",
    "work": {
      "sweeps": 320,
      "accumulates": 11520,
      "cell_updates": 2880,
      "draws": 2808,
      "ended": "every sweep run",
      "rests": true
    },
    "joules": {
      "kind": "unpriced",
      "class": null,
      "describes": "nothing: no rate with evidence covers a run above temperature 0",
      "line": "Not priced: 11,520 accumulates counted, and no rate with evidence behind it covers a run above temperature 0. This is no figure, not a figure of 0.",
      "rate_pj_per_accumulate": null,
      "rate_source": null,
      "evidence": [
        "wai/wai-quantum-landscape-fpga/README.md (What it measured: Power, the null controls)",
        "wai/wai-quantum-landscape-fpga/measurements/2026-11-06/emio-classes/null.dat"
      ],
      "pj": null,
      "published_add": null,
      "left_out": null,
      "why": "There is no sampling rate with evidence behind it. On the FPGA board running this project's open reference design, sampling drew 11.0 mW, within that instrument's floor (one of its two null controls failed at about 8 mW), so it is not relied on; the earlier sampling rate came from a design that updates every cell at once, which does not sample this model. No figure is given, and none is 0.",
      "metered": null
    },
    "state_hash": "29cf75b4a4159595",
    "replay": "4eaed7664d21fb6a75d2715a09e533e47942188528e8e1bd038eec958a999933",
    "engine": {
      "name": "wai-quantum",
      "version": "0.9.0"
    },
    "schema": "wai.quantum.landscape/2",
    "receipt": {
      "alg": "ed25519",
      "canon": "rfc8785",
      "key": "197f6b23e16c8532c6abc838facd5ea789be0c76b2920334039bfa8b3d368d61",
      "digest": "c848a24828273efc91483af016431c517658eeef73156af10196ad03ee18e10c",
      "signature": "87a384b3241009687a62d235b1fafee5b3a89e8071f17040398621de92f1cf4769ee709d38d6c3f70fca945689a5c7efbdfd34c7ff94118847ae6b44c6656e0b"
    }
  }
}