{
  "schemaVersion": 1,
  "lessonId": "kernels-01",
  "contentHash": "0a36a139ed87e8fad68216085d916f9734fc00a60182c82f9e3da5a0ed3dff19",
  "executedAt": "2026-10-20T10:49:31.979818+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Shape and boundary: (5, 11) -3.75 7.050000190734863\nGrid: (3, 3) logical/padded elements: 55 72\nPadding fraction: 0.2361111111111111\nShape and boundary: (5, 11) -3.75 7.050000190734863\nGrid: (3, 3) logical/padded elements: 55 72\nPadding fraction: 0.2361111111111111\nChanged grid: (2, 3) same numerical result\nFloor-grid missing logical cells: 23\nSingleton and changed tails verified\nMismatched global shape rejected\nShape, block/program/padded counts: (5, 11) [(2, 4, 9, 72), (8, 128, 1, 1024), (16, 256, 1, 4096)]\nShape, block/program/padded counts: (33, 129) [(2, 4, 561, 4488), (8, 128, 10, 10240), (16, 256, 3, 12288)]\nPASS: kernels-01\n",
  "notebookCells": [
    {
      "sourceHash": "231027f06eafbd32f17b10bc62974874530d25c8f3de493685755c5d16c423f1",
      "outputs": []
    },
    {
      "sourceHash": "b9f0ddf92da768f0f223d73275f4f993f604f91e655adc1368db6abac1b097ff",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Shape and boundary: (5, 11) -3.75 7.050000190734863\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "8b036191cfb62336eb589160555b8916b6a57d2e6ac48d0618f967646b35d6bb",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Grid: (3, 3) logical/padded elements: 55 72\n",
            "Padding fraction: 0.2361111111111111\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "b6ceb92237a15a2af0388e5af803437fd8d3d2c808d0f6d5cbea4dd21f096d34",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Shape and boundary: (5, 11) -3.75 7.050000190734863\n",
            "Grid: (3, 3) logical/padded elements: 55 72\n",
            "Padding fraction: 0.2361111111111111\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "64091b0127dc4813ac2527fc0d5b6d996e1cdfd73da794d0c493f71f980e2140",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "f4d39b2c1bbbee13bfbe0c4472f999c6c7d85971e7fe893273a8516d33b1a979",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Changed grid: (2, 3) same numerical result\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "bfc2e3238b7150dfe582d3214f8cbeba85959782180753c6d7a4eead8f1874aa",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Floor-grid missing logical cells: 23\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "36adb9894380fa470dcbafe7ca54208e0fe227d67dadd3cfd1499f95e77c32b6",
      "outputs": []
    },
    {
      "sourceHash": "0b2a5ca81d590af7b22898eb66b0ae646fa641eb60534c38328bc7e49827943c",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Singleton and changed tails verified\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "2d24c407ff629e033a1a5c78f3457a4b4d35144785c6dc3f158455457821757e",
      "outputs": []
    },
    {
      "sourceHash": "92240844ecc4b6764e0953fceb4cadb6af40499bfc473bb4617396cd0959ec74",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Mismatched global shape rejected\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "c1d4c530c2e1d7308a8ddc0622742f66c41043349a02fc252ffdd2ed086f4629",
      "outputs": []
    },
    {
      "sourceHash": "4122d259ff9a641eab6d81e03d2c21fceb3a376c7215a758fc15350c06a79a6d",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Shape, block/program/padded counts: (5, 11) [(2, 4, 9, 72), (8, 128, 1, 1024), (16, 256, 1, 4096)]\n",
            "Shape, block/program/padded counts: (33, 129) [(2, 4, 561, 4488), (8, 128, 10, 10240), (16, 256, 3, 12288)]\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}