Ranking at depth 7
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. Additionally, states where tiles are painted incorrectly should be ranked lower, and states where the robot is positioned to continue painting correctly should be ranked higher.

### Evaluation of States:

1. **State 27:**
   - **Tiles Painted Correctly:** Tile_0-0 is painted black.
   - **Robot Position:** Robot1 is on tile_1-0, holding black paint.
   - **Next Action:** Ready to move right and paint tile_0-1 white.
   - **Reasoning:** This state has the first tile correctly painted and the robot is in a good position to continue the sequence.

2. **State 28:**
   - **Tiles Painted Correctly:** Tile_0-2 is painted black.
   - **Robot Position:** Robot1 is on tile_1-2, holding black paint.
   - **Next Action:** Change color to white and paint tile_0-3.
   - **Reasoning:** This state has a tile correctly painted, but the robot needs to change color before continuing.

3. **State 29:**
   - **Tiles Painted Correctly:** None.
   - **Robot Position:** Robot1 is on tile_1-2, holding white paint.
   - **Next Action:** Paint tile_0-2 white, which is incorrect.
   - **Reasoning:** The robot is holding the wrong color for the next correct action.

4. **State 23:**
   - **Tiles Painted Correctly:** Tile_0-0 is painted black.
   - **Robot Position:** Robot1 is on tile_1-1, holding black paint.
   - **Next Action:** Change color to white and paint tile_0-1.
   - **Reasoning:** The robot is not in the optimal position to continue painting correctly.

5. **State 24:**
   - **Tiles Painted Correctly:** Tile_0-0 is painted black.
   - **Robot Position:** Robot1 is on tile_1-1, holding black paint.
   - **Next Action:** Change color to white and paint tile_0-1.
   - **Reasoning:** Similar to State 23, but with a different action path.

6. **State 25:**
   - **Tiles Painted Correctly:** Tile_0-0 is painted black.
   - **Robot Position:** Robot1 is on tile_1-0, holding white paint.
   - **Next Action:** Paint tile_0-0 white, which is incorrect.
   - **Reasoning:** The robot is holding the wrong color for the next correct action.

7. **State 26:**
   - **Tiles Painted Correctly:** None.
   - **Robot Position:** Robot1 is on tile_1-0, holding white paint.
   - **Next Action:** Paint tile_0-0 white, which is incorrect.
   - **Reasoning:** The robot is holding the wrong color and is not in a position to paint correctly.

### Final Ranking:
```ranking
27, 28, 23, 24, 29, 25, 26
```

Final ranking:
Rank 1: State ID 27
State Description: Tile_0-0 is now painted black, and tile_1-0 is occupied by robot1 holding black paint.

Rank 2: State ID 28
State Description: Robot1, standing on tile_1-2, paints the tile above it, tile_0-2, with black paint. Tile_0-2 is now painted black and is no longer clear.

Rank 3: State ID 23
State Description: Robot1 has moved from tile_1-0 to tile_1-1, holding the black paint gun. Tile_1-0 is now clear, and tile_1-1 is occupied by the robot.

Rank 4: State ID 24
State Description: Robot1 moves from tile_1-0 to tile_1-1. Tile_1-0 is now clear, and tile_1-1 is occupied by Robot1, which is still holding the black paint gun.

Rank 5: State ID 29
State Description: Robot1, located on tile_1-2, changes its paint gun color from black to white. Tile_1-2 remains occupied by Robot1, and tile_1-1 is clear. The tiles above (tile_0-0 to tile_0-4) remain unchanged in terms of paint.

Rank 6: State ID 25
State Description: Robot1 remains at tile_1-0, now holding the white paint gun. Tile_1-0 is still occupied by Robot1, and tile_0-0 remains unchanged and painted black.

Rank 7: State ID 26
State Description: Robot1 is now holding white paint while standing on tile_1-0. Tile_1-0 remains occupied by Robot1, and tile_1-1 is clear. The robot is ready to paint the next tile in the sequence.

