Ranking at depth 8
Model's reasoning and response:
To rank the states, we need to evaluate how close each state is to the goal state, which requires the first row of tiles to be painted in an alternating color pattern starting with black. The criteria for ranking are:

1. Number of tiles correctly colored according to the goal state.
2. Preference for states where the tile directly above the robot is not painted, allowing for further painting actions.
3. If all tiles in the row above the robot are painted, the robot should be ready to move down.

Let's evaluate each state:

- **State 30**: 
  - Tiles painted: tile_0-0 (black), tile_0-1 (black).
  - Robot is on tile_1-1, holding black paint.
  - The tile directly above the robot (tile_0-1) is painted correctly.
  - This state is close to the goal but has a tile painted incorrectly (tile_0-1 should be white).

- **State 32**: 
  - Tiles painted: tile_0-0 (black), tile_0-2 (black).
  - Robot is on tile_1-3, holding black paint.
  - The tile directly above the robot (tile_0-3) is not painted, allowing for further actions.
  - This state is closer to the goal with two tiles correctly painted.

- **State 33**: 
  - Tiles painted: tile_0-0 (black), tile_0-2 (black).
  - Robot is on tile_1-1, holding black paint.
  - The tile directly above the robot (tile_0-1) is painted incorrectly (should be white).
  - This state is similar to State 30 but with fewer tiles painted.

- **State 34**: 
  - Tiles painted: tile_0-0 (black).
  - Robot is on tile_1-1, holding white paint.
  - The tile directly above the robot (tile_0-1) is not painted, allowing for further actions.
  - This state is less advanced than others but has potential for correct painting.

- **State 35**: 
  - Tiles painted: tile_0-0 (black), tile_0-1 (black).
  - Robot is on tile_1-1, holding black paint.
  - The tile directly above the robot (tile_0-1) is painted incorrectly (should be white).
  - Similar to State 30, but with incorrect painting.

- **State 36**: 
  - Tiles painted: tile_0-0 (black).
  - Robot is on tile_1-1, holding white paint.
  - The tile directly above the robot (tile_0-1) is not painted, allowing for further actions.
  - Similar to State 34, but with potential for correct painting.

Based on these evaluations, the ranking is:

```ranking
32, 34, 36, 33, 30, 35
```

Final ranking:
Rank 1: State ID 32
State Description: Robot1 moves from tile_1-2 to tile_1-3. Tile_1-2 is now clear, and tile_1-3 is occupied by robot1, which is holding black paint.

Rank 2: State ID 34
State Description: Robot1 is now holding the white paint gun while standing on tile_1-1. Tile_1-0 is clear, and tile_1-1 is occupied by the robot.

Rank 3: State ID 36
State Description: Robot1 is now holding the white paint gun while occupying tile_1-1. Tile_1-0 is clear, and tile_1-1 is occupied by Robot1. The robot is ready to paint the next tile above it with white.

Rank 4: State ID 33
State Description: Robot1 has moved from tile_1-2 to tile_1-1, preparing to paint the tile above (tile_0-1). Tile_1-2 is now clear, and tile_1-1 is occupied by the robot.

Rank 5: State ID 30
State Description: Robot1 has moved from tile_1-0 to tile_1-1, holding black paint. Tile_1-0 is now clear, and tile_1-1 is occupied by robot1.

Rank 6: State ID 35
State Description: The robot1, standing on tile_1-1, has painted the tile directly above it, tile_0-1, with black paint. Tile_0-1 is no longer clear and is now painted black.

