{
  "schemaVersion": 1,
  "lessonId": "state-03",
  "contentHash": "f5aeddbef90d417df5b3a131bd0b5bda95f7b7da91cb151fb394a0ae5478ecba",
  "executedAt": "2026-10-20T10:45:30.167199+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "History: [1.    1.5   1.75  1.875]\nFinal: 1.875\nHistory: [1.    1.5   1.75  1.875]\nFinal: 1.875\nExpected carry-shape mismatch\nPASS: state-03\n",
  "notebookCells": [
    {
      "sourceHash": "cc691a3a883d9e3de3ba95715941564601e11032419b3b90da42657c937572ad",
      "outputs": []
    },
    {
      "sourceHash": "01d3fc632348819d9870a27f658104f9981332a3d595fdd3530efb800b8a95df",
      "outputs": []
    },
    {
      "sourceHash": "4c5d51b513dab9f12aba6b53552b77c04048438e17f655f4c29a01ea183cc045",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "History: [1.    1.5   1.75  1.875]\n",
            "Final: 1.875\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "5471d14baaa3d7987372ec981f002ba95b902a5fdfa4ae01cb29901e3d89fa30",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "History: [1.    1.5   1.75  1.875]\n",
            "Final: 1.875\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "4c1271204125d8e02115c85cdde74d6294cc4df13ee2e69f7d485be247765b0f",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "e8ef18032809e02c561fa123ffb06b29e4441d728e707388495572d4bc94256a",
      "outputs": []
    },
    {
      "sourceHash": "f1690782cd170b4998cb384d4b2e75059f7e03d0be1f455855179cedca7c9e6c",
      "outputs": []
    },
    {
      "sourceHash": "21babbc4259003f8862d92154f293521014cd3081f23aa0a17d79609ed8a2077",
      "outputs": []
    },
    {
      "sourceHash": "cceb1158eaf8676069949e411888b4f2fd3a3ad9ca15cac8df10f0f0d64bbc8b",
      "outputs": []
    },
    {
      "sourceHash": "f510ea16db577aac262dbae5c3667c498e273d1c1fa186e204e7bf97b718f68a",
      "outputs": []
    },
    {
      "sourceHash": "83e591e910d568f03dbf4081d7fa9e753935e2e39b59e40461ae3d3c22ed8de4",
      "outputs": []
    },
    {
      "sourceHash": "576c1424182da603f36853b0af4134a4d21960e57cec4fc2cb081ac3b690908a",
      "outputs": []
    },
    {
      "sourceHash": "5fc64b19167bfd5e51a216a4f6d4a2105b6b10ecfa463a1fd031a511f84a4604",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Expected carry-shape mismatch\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
