{
  "schemaVersion": 1,
  "lessonId": "transformers-04",
  "contentHash": "a3d44f0f5adadb3a73c2b36d11aac31b162247575dca4562ca7fbc7ae0db0211",
  "executedAt": "2026-10-20T10:47:31.761160+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Initial / held loss / held accuracy: 0.9807573556900024 0.0017881905660033226 1.0\nGreedy continuation: abcabcabcabc\nInitial / held loss / held accuracy: 0.9807573556900024 0.0017881905660033226 1.0\nGreedy continuation: abcabcabcabc\nPASS: transformers-04\n",
  "notebookCells": [
    {
      "sourceHash": "5d81990b671d43092f8f9c7d18f040a412b03b8a9352db7a7b575348756550ad",
      "outputs": []
    },
    {
      "sourceHash": "76ecdba80540ba1f8f17559db3801effaf041004f236d6bd17b381ebf4759edb",
      "outputs": []
    },
    {
      "sourceHash": "1a21a28d4fc7360ab6975958be4c3105a564a682fe1ded98ebf3b62823a1edfa",
      "outputs": []
    },
    {
      "sourceHash": "556de8fe55a372c4d8763e7065b2debf1ee5f0e41853d85e91d203bbafdb1278",
      "outputs": []
    },
    {
      "sourceHash": "de418bbc2b5a23cd9dade450560c71e08692253da2e8499586796f288da58ff7",
      "outputs": []
    },
    {
      "sourceHash": "a27a40b16fdf355acab4c5c2a5a8a2d56718cb2b8788f36e3c556f4b1e187f9b",
      "outputs": []
    },
    {
      "sourceHash": "e3d592b08d1a5d427049ebf8409514961eaea836fd27ffb5a59d9313fae89d75",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Initial / held loss / held accuracy: 0.9807573556900024 0.0017881905660033226 1.0\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "95f6942a5a7a6d3a40ddc99d972a2abcced5fbb12f15b27aa4974142baee327c",
      "outputs": []
    },
    {
      "sourceHash": "31a9bde1d1ffbb058962fbcd3070246bc079e0810576768bb6b709b377ffc3c1",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Greedy continuation: abcabcabcabc\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "76e309943196fc11eb1eac65baa26ebba89484d236ced248e575e3a68de33097",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Initial / held loss / held accuracy: 0.9807573556900024 0.0017881905660033226 1.0\n",
            "Greedy continuation: abcabcabcabc\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "d07a30a00e1d21b2aa367e14b9f01d74b287c31dada35d9e4586cbbc872a031e",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
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            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "9e1063002565b596565622da09ea46ea5ed3d977fd15bc4cf242ec16f4b9d0e4",
      "outputs": []
    },
    {
      "sourceHash": "d60f94e346aa2fc94fd4fc7b1e7914f50adad8692baa45cb8e59d5a274332112",
      "outputs": []
    },
    {
      "sourceHash": "d68beda16b8abbc1b6f3ef6e13e03f27e6d7e018e192fdfd669959551136ec03",
      "outputs": []
    },
    {
      "sourceHash": "472ba038e5413206619df88f2b71f97242782bfa25921a599238904972794e83",
      "outputs": []
    },
    {
      "sourceHash": "eda6f3a723b0696e62ce5b11ba65803ea1a9097e17468a7be6fa17ee531aa304",
      "outputs": []
    },
    {
      "sourceHash": "96b4067d6f43256a03eb0a773708e13a72bae199b9494abc3da71de22a431109",
      "outputs": []
    },
    {
      "sourceHash": "73ecf507649c9216a5ab747449258200d9ea29c4106bce6164fdc34b1f3c1455",
      "outputs": []
    },
    {
      "sourceHash": "cda39e53c6cdfa44f143e58d1b1feb5a4034f4ebb1918dc906c2d796079babac",
      "outputs": []
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
