{
  "analysis": "The naive approach would cost ~298K bytes, but budget is only 69K. I need ~4.3x compression. Key strategies: 1) Use relative cursor movements (CUF, CUD, etc.) instead of absolute positioning, 2) Process changes in row-major order to minimize cursor movement, 3) Consider using erase operations for large areas.",
  "plan": "Analyze if relative cursor movements can significantly reduce the cost. Calculate the cost of processing changes in row-major order with relative movements.",
  "commands": [
    {
      "keystrokes": "python3 -c \"\nimport struct\n\ndef encode_number(n):\n    return str(n).encode()\n\ndef cost_move(from_r, from_c, to_r, to_c):\n    '''Cost to move from (from_r, from_c) to (to_r, to_c) using relative moves'''\n    if from_r == to_r and from_c == to_c:\n        return 0\n    if from_r == to_r:\n        # Same row: use CUB or CUF\n        dc = to_c - from_c\n        if dc > 0:\n            return 4 + len(str(dc))  # ESC[nC\n        else:\n            return 4 + len(str(-dc))  # ESC[nD\n    # Different rows: use CR + CUD/CUU + CUF\n    cost = 1  # CR\n    dr = to_r - from_r\n    if dr > 0:\n        cost += 4 + len(str(dr))  # ESC[nB\n    elif dr < 0:\n        cost += 4 + len(str(-dr))  # ESC[nA\n    if to_c > 1:\n        cost += 4 + len(str(to_c - 1))  # ESC[nC from col 1\n    return cost\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    \n    frames = []\n    for i in range(n_frames):\n        frames.append(f.read(w*h))\n\n# Calculate cost with relative movements\ntotal_cost = 0\ncursor_r, cursor_c = 1, 1\n\n# First frame: output everything\ntotal_cost += w * h + 1  # content + delimiter\ncursor_r, cursor_c = h, w  # cursor ends at bottom-right\n\nfor i in range(1, n_frames):\n    changes = [(j // w, j % w) for j in range(w*h) if frames[i-1][j] != frames[i][j]]\n    changes.sort()  # row-major order\n    \n    if not changes:\n        total_cost += 1  # just delimiter\n        continue\n    \n    # Move to first change\n    total_cost += cost_move(cursor_r, cursor_c, changes[0][0] + 1, changes[0][1] + 1)\n    cursor_r, cursor_c = changes[0][0] + 1, changes[0][1] + 1\n    \n    # Process runs\n    in_run = True\n    for r, c in changes:\n        if not in_run:\n            total_cost += cost_move(cursor_r, cursor_c, r + 1, c + 1)\n            cursor_r, cursor_c = r + 1, c + 1\n            in_run = True\n        else:\n            # Check if contiguous\n            prev_r, prev_c = cursor_r - 1, cursor_c - 1\n            if r == prev_r and c == prev_c + 1:\n                cursor_c = c + 1\n            else:\n                total_cost += cost_move(cursor_r, cursor_c, r + 1, c + 1)\n                cursor_r, cursor_c = r + 1, c + 1\n    \n    total_cost += len(changes) + 1  # content bytes + delimiter\n\nprint(f'Cost with relative moves: {total_cost}')\nprint(f'Budget: {max_bytes}')\nprint(f'Over/under: {total_cost - max_bytes}')\n\"\n",
      "duration": 2.0
    }
  ]
}