[
  {
    "affinity": {
      "exact": "10",
      "decimal": 10.0
    },
    "slope_range": [
      {
        "exact": "100/121",
        "decimal": 0.8264462809917356
      },
      {
        "exact": "1",
        "decimal": 1.0
      }
    ],
    "cost_sandwich": [
      {
        "exact": "105/242",
        "decimal": 0.43388429752066116
      },
      {
        "exact": "63/100",
        "decimal": 0.63
      }
    ],
    "finite_horizon_ratio": 0.5236119496835351,
    "final_deficit": 6.106226635438361e-16,
    "evidence": "Finite-horizon numerical ratio; infinite-horizon sandwich is a theorem under slope and integrability premises."
  },
  {
    "affinity": {
      "exact": "100",
      "decimal": 100.0
    },
    "slope_range": [
      {
        "exact": "10000/10201",
        "decimal": 0.9802960494069209
      },
      {
        "exact": "1",
        "decimal": 1.0
      }
    ],
    "cost_sandwich": [
      {
        "exact": "5250/10201",
        "decimal": 0.5146554259386334
      },
      {
        "exact": "10701/20000",
        "decimal": 0.53505
      }
    ],
    "finite_horizon_ratio": 0.5248423588440894,
    "final_deficit": 0.0,
    "evidence": "Finite-horizon numerical ratio; infinite-horizon sandwich is a theorem under slope and integrability premises."
  },
  {
    "affinity": {
      "exact": "1000",
      "decimal": 1000.0
    },
    "slope_range": [
      {
        "exact": "1000000/1002001",
        "decimal": 0.998002996004994
      },
      {
        "exact": "1",
        "decimal": 1.0
      }
    ],
    "cost_sandwich": [
      {
        "exact": "75000/143143",
        "decimal": 0.5239515729026218
      },
      {
        "exact": "1052001/2000000",
        "decimal": 0.5260005
      }
    ],
    "finite_horizon_ratio": 0.5249840365688442,
    "final_deficit": 5.551115123125783e-17,
    "evidence": "Finite-horizon numerical ratio; infinite-horizon sandwich is a theorem under slope and integrability premises."
  },
  {
    "affinity": {
      "exact": "10000",
      "decimal": 10000.0
    },
    "slope_range": [
      {
        "exact": "100000000/100020001",
        "decimal": 0.9998000299960005
      },
      {
        "exact": "1",
        "decimal": 1.0
      }
    ],
    "cost_sandwich": [
      {
        "exact": "52500000/100020001",
        "decimal": 0.5248950157479003
      },
      {
        "exact": "105020001/200000000",
        "decimal": 0.525100005
      }
    ],
    "finite_horizon_ratio": 0.5249984016524151,
    "final_deficit": -1.1102230246251565e-16,
    "evidence": "Finite-horizon numerical ratio; infinite-horizon sandwich is a theorem under slope and integrability premises."
  }
]