{
  "variables": [
    "q cumulative signed source",
    "n reflectedSPNoah",
    "r reflectedSPFlood by8395",
    "b reflectedMTFlood by fixed comparison",
    "p reflectedSPFlood same Gear asb"
  ],
  "base_coefficients": [
    [
      -1,
      1,
      0,
      0,
      0
    ],
    [
      -1,
      0,
      1,
      0,
      0
    ],
    [
      1,
      0,
      0,
      1,
      0
    ],
    [
      0,
      0,
      0,
      -1,
      1
    ]
  ],
  "base_rhs": [
    8993,
    8395,
    -2832,
    650
  ],
  "base_rank": 4,
  "free_scalar_dimensions": 1,
  "dependent598_row": [
    0,
    1,
    -1,
    0,
    0
  ],
  "rank_with598": 4,
  "rank_with600": 5,
  "formal600_solution": {
    "q cumulative signed source": "-10575/2",
    "n reflectedSPNoah": "7411/2",
    "r reflectedSPFlood by8395": "6215/2",
    "b reflectedMTFlood by fixed comparison": "4911/2",
    "p reflectedSPFlood same Gear asb": "6211/2"
  },
  "annual_rows": [
    {
      "i": 0,
      "variables": {
        "q cumulative signed source": "-5290",
        "n reflectedSPNoah": "3703",
        "r reflectedSPFlood by8395": "3105",
        "b reflectedMTFlood by fixed comparison": "2458",
        "p reflectedSPFlood same Gear asb": "3108"
      },
      "n_minus_r": "598",
      "r_minus_p": "-3",
      "n_minus_p": "595",
      "all_source_bindings": false
    },
    {
      "i": 1,
      "variables": {
        "q cumulative signed source": "-5289",
        "n reflectedSPNoah": "3704",
        "r reflectedSPFlood by8395": "3106",
        "b reflectedMTFlood by fixed comparison": "2457",
        "p reflectedSPFlood same Gear asb": "3107"
      },
      "n_minus_r": "598",
      "r_minus_p": "-1",
      "n_minus_p": "597",
      "all_source_bindings": false
    },
    {
      "i": 2,
      "variables": {
        "q cumulative signed source": "-5288",
        "n reflectedSPNoah": "3705",
        "r reflectedSPFlood by8395": "3107",
        "b reflectedMTFlood by fixed comparison": "2456",
        "p reflectedSPFlood same Gear asb": "3106"
      },
      "n_minus_r": "598",
      "r_minus_p": "1",
      "n_minus_p": "599",
      "all_source_bindings": true
    },
    {
      "i": 3,
      "variables": {
        "q cumulative signed source": "-5287",
        "n reflectedSPNoah": "3706",
        "r reflectedSPFlood by8395": "3108",
        "b reflectedMTFlood by fixed comparison": "2455",
        "p reflectedSPFlood same Gear asb": "3105"
      },
      "n_minus_r": "598",
      "r_minus_p": "3",
      "n_minus_p": "601",
      "all_source_bindings": true
    },
    {
      "i": 4,
      "variables": {
        "q cumulative signed source": "-5286",
        "n reflectedSPNoah": "3707",
        "r reflectedSPFlood by8395": "3109",
        "b reflectedMTFlood by fixed comparison": "2454",
        "p reflectedSPFlood same Gear asb": "3104"
      },
      "n_minus_r": "598",
      "r_minus_p": "5",
      "n_minus_p": "603",
      "all_source_bindings": false
    },
    {
      "i": 5,
      "variables": {
        "q cumulative signed source": "-5285",
        "n reflectedSPNoah": "3708",
        "r reflectedSPFlood by8395": "3110",
        "b reflectedMTFlood by fixed comparison": "2453",
        "p reflectedSPFlood same Gear asb": "3103"
      },
      "n_minus_r": "598",
      "r_minus_p": "7",
      "n_minus_p": "605",
      "all_source_bindings": false
    },
    {
      "i": 6,
      "variables": {
        "q cumulative signed source": "-5284",
        "n reflectedSPNoah": "3709",
        "r reflectedSPFlood by8395": "3111",
        "b reflectedMTFlood by fixed comparison": "2452",
        "p reflectedSPFlood same Gear asb": "3102"
      },
      "n_minus_r": "598",
      "r_minus_p": "9",
      "n_minus_p": "607",
      "all_source_bindings": false
    },
    {
      "i": 7,
      "variables": {
        "q cumulative signed source": "-5283",
        "n reflectedSPNoah": "3710",
        "r reflectedSPFlood by8395": "3112",
        "b reflectedMTFlood by fixed comparison": "2451",
        "p reflectedSPFlood same Gear asb": "3101"
      },
      "n_minus_r": "598",
      "r_minus_p": "11",
      "n_minus_p": "609",
      "all_source_bindings": false
    }
  ],
  "phase_actions": [
    {
      "source_offset": "-1/4",
      "n_and_r_offset": "-1/4",
      "b_and_p_offset": "1/4",
      "n_minus_r_offset": "0",
      "n_minus_p_offset": "-1/2"
    },
    {
      "source_offset": "1/4",
      "n_and_r_offset": "1/4",
      "b_and_p_offset": "-1/4",
      "n_minus_r_offset": "0",
      "n_minus_p_offset": "1/2"
    }
  ],
  "model_status": "Conditional source-qualified affine model; no global action or placement proof.",
  "context_rules_kept_distinct": {
    "cumulative_Cainan_BC": 460,
    "regular_Cainan_BC": 130,
    "Terah_BC": 60,
    "MT_to_SP_baseline_BC": 650,
    "full430_to_minimum215_BC": -215
  }
}