[
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_60197",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_60197",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_60197",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_60197",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_60197",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_42386",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_42386",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_42386",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_42386",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_42386",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_20058",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_20058",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_20058",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_20058",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_20058",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_15224",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_15224",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_15224",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_15224",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_15224",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_9484",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_9484",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_9484",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_9484",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_9484",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_57899",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_57899",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_57899",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_57899",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_57899",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55325",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55325",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55325",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55325",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55325",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_41335",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_41335",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_41335",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_41335",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 10,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_41335",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_23469",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_23469",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_23469",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_23469",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_23469",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_43006",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_43006",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_43006",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_43006",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_43006",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_46649",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_46649",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_46649",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_46649",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_46649",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_24819",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_24819",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_24819",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_24819",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_24819",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_47285",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_47285",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_47285",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_47285",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_47285",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_49055",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_49055",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_49055",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_49055",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_49055",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_38526",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_38526",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_38526",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_38526",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_38526",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_61706",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_61706",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_61706",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_61706",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 20,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_61706",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_62690",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_62690",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_62690",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_62690",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_62690",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_44615",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_44615",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_44615",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_44615",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_44615",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_29082",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_29082",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_29082",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_29082",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_29082",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_9909",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_9909",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_9909",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_9909",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_9909",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36430",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36430",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36430",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36430",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36430",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_3517",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_3517",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_3517",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_3517",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_3517",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_3191",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_3191",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_3191",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_3191",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_3191",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_21398",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_21398",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_21398",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_21398",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 30,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_21398",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_54405",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_54405",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_54405",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_54405",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_54405",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36028",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36028",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36028",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36028",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36028",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_31979",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_31979",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_31979",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_31979",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_31979",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_42862",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_42862",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_42862",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_42862",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_42862",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_54268",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_54268",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_54268",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_54268",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_54268",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_8259",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_8259",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_8259",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_8259",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_8259",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_51342",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_51342",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_51342",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_51342",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_51342",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_7243",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_7243",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_7243",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_7243",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 50,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_7243",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_27554",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_27554",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_27554",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_27554",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_27554",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_17111",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_17111",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_17111",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_17111",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_17111",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_50117",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_50117",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_50117",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_50117",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_50117",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_32624",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_32624",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_32624",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_32624",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_32624",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_49023",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_49023",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_49023",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_49023",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_49023",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55186",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55186",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55186",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55186",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55186",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55003",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55003",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55003",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55003",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55003",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_34847",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_34847",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_34847",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_34847",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 70,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_34847",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_16342",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_16342",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_16342",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_16342",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_16342",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36956",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36956",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36956",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36956",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_36956",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_29533",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_29533",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_29533",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_29533",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_29533",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_10848",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_10848",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_10848",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_10848",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_10848",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_47306",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_47306",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_47306",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_47306",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_47306",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_40958",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_40958",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_40958",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_40958",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_40958",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_15591",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_15591",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_15591",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_15591",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_15591",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55080",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55080",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55080",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55080",
    "step": 1
  },
  {
    "messages": [
      {
        "role": "user",
        "content": "What is the meaning of life?"
      },
      {
        "role": "assistant",
        "content": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]\n[0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1]\n[0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n</think>\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,3,1,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,2,1,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]\n[0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,3,1,1,1,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,3,3,3,3,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]\n[0,0,1,2,2,2,1,1,1,1,1,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,1,1,1,1]\n[0,0,1,2,2,2,1,0,0,0,0,1,2,2,2,1,1,1,1,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,1,1,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,1,2,2,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,1,1,1,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,3,3,3,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1]\n[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0]\n[0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0]\n[0,1,1,1,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0]\n[0,1,2,2,2,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,1,2,2,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,1,1,1,1,1,3,3,1]\n[0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1]\n[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n[0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n"
      }
    ],
    "difficulty": 100,
    "problem_uid": "09c534e7_leave_1_out_of_3_idx00_augmented_Random_Chaining_Transpose_55080",
    "step": 1
  }
]