{
  "analysis": "Still over budget. Let me analyze the distribution of change counts more carefully to understand what percentage of frames need different strategies.",
  "plan": "Analyze the distribution of change counts across all frames to design a targeted encoding strategy.",
  "commands": [
    {
      "keystrokes": "python3 << 'PYEOF'\nimport struct\nfrom collections import Counter\n\nwith open('/app/frames.tza', 'rb') as f:\n    f.read(4)\n    w, h = struct.unpack('<HH', f.read(4))\n    n_frames, max_bytes = struct.unpack('<II', f.read(8))\n    frames = [f.read(w*h) for _ in range(n_frames)]\n\n# Count changes per frame\nchange_counts = []\nfor i in range(n_frames):\n    if i == 0:\n        changes = sum(1 for b in frames[i] if b != 32)\n    else:\n        changes = sum(1 for j in range(w*h) if frames[i-1][j] != frames[i][j])\n    change_counts.append(changes)\n\n# Distribution\nprint('Change count distribution:')\ncounter = Counter(change_counts)\nfor count in sorted(counter.keys()):\n    print(f'  {count} changes: {counter[count]} frames')\n\n# Calculate cost using different strategies\ndef abs_pos(r, c):\n    return 3 + len(str(r)) + 1 + len(str(c))\n\n# Cost for frame 0 (non-space only)\nframe0_cost = sum(abs_pos(r+1, c+1) + 1 for r in range(h) for c in range(w) if frames[0][r*w+c] != 32) + 1\nprint(f'\\nFrame 0 cost: {frame0_cost}')\n\n# Cost for subsequent frames using per-cell positioning\nrest_cost = 0\nfor i in range(1, n_frames):\n    cost = sum(abs_pos(r+1, c+1) + 1 for r in range(h) for c in range(w) if frames[i-1][r*w+c] != frames[i][r*w+c]) + 1\n    rest_cost += cost\n\nprint(f'Frames 1+ cost (per-cell): {rest_cost}')\nprint(f'Total: {frame0_cost + rest_cost}')\nPYEOF\n",
      "duration": 5.0
    }
  ]
}