{
  "schemaVersion": 1,
  "lessonId": "rl-02",
  "contentHash": "2b067eae4b74d07513fcdf4a0311cb087d4b88923073fdc1669c330e647038ed",
  "executedAt": "2026-10-20T10:49:07.271650+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "return mean: 0.5848437547683716\nactive environments by transition: [64 64 58 53 47 44 39 29]\nreturn mean: 0.5848437547683716\nactive environments by transition: [64 64 58 53 47 44 39 29]\nreward-to-go: [0.98 0.99 1.   0.  ]\nPASS: rl-02\n",
  "notebookCells": [
    {
      "sourceHash": "e0e4e84cf5b5ccb6b2d364402199f8231530260f9d57a05ab7c937287dc82bfc",
      "outputs": []
    },
    {
      "sourceHash": "da0ae277695fa51a4b651321ee1ab77d12b3885d87c76630e8fa75360f1b2340",
      "outputs": []
    },
    {
      "sourceHash": "7c3f12f012b65880d33df6d3c5ee6235efce7891973236e4c81b2feb2aca26d1",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "return mean: 0.5848437547683716\n",
            "active environments by transition: [64 64 58 53 47 44 39 29]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "1ca3ab6f7667633dcded471b2dcaccd48f4390c1101a29344e971445560c0b42",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "return mean: 0.5848437547683716\n",
            "active environments by transition: [64 64 58 53 47 44 39 29]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "d037ff0f10945242fc0fda67031cbca6cf79bf03469f3eb5e2b62ba3b0eaf949",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "cc75bb6ec122e841c1d6b2f46feb4aaccccd696d751629eb2fbabaec0e682da0",
      "outputs": []
    },
    {
      "sourceHash": "313c5e524a0e1c783df15c43ed29d275aa3e216e997e0adb0eff7d8e40c00e81",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "reward-to-go: [0.98 0.99 1.   0.  ]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "d28fa36ea61117187066f5dba13c6148496445298c74bda92c4b3c643e670763",
      "outputs": []
    },
    {
      "sourceHash": "02e4d0cd69c98b9d5b83215fb26fb3c515629bc6d1db5d7116b6512d7cfdde79",
      "outputs": []
    },
    {
      "sourceHash": "7dc83ec2188431fa74ba4e0092ff84fa8681a7e7e6a62f05094de18c472581f0",
      "outputs": []
    },
    {
      "sourceHash": "2d7e3b21bbe063ff4360359c742a294d756b766feb22269252ecbd2b9fa7ab89",
      "outputs": []
    },
    {
      "sourceHash": "db2c4da1a6e729e7244663df890e5bfbb78c2d66afd9c14bd1d2907e07ac003d",
      "outputs": []
    },
    {
      "sourceHash": "fd384c8e886eaa873c20e1d29cea74947fd670847731bf7c0f3dc81b3988c44e",
      "outputs": []
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
