Ranking at depth 19
Model's reasoning and response:
To rank the states, we need to evaluate how many of the goal constraints are satisfied in each state. The goal constraints are:

- Row 1:
  - tile_1-1: white
  - tile_1-2: black
  - tile_1-3: white

- Row 2:
  - tile_2-1: black
  - tile_2-2: white
  - tile_2-3: black

Let's evaluate each state:

### State 236
- tile_1-1: white (satisfied)
- tile_1-2: black (satisfied)
- tile_1-3: clear (not satisfied)
- tile_2-1: black (satisfied)
- tile_2-2: white (satisfied)
- tile_2-3: black (satisfied)

**Constraints satisfied: 5**

### State 237
- tile_1-1: white (satisfied)
- tile_1-2: black (satisfied)
- tile_1-3: clear (not satisfied)
- tile_2-1: black (satisfied)
- tile_2-2: white (satisfied)
- tile_2-3: black (satisfied)

**Constraints satisfied: 5**

### State 239
- tile_1-1: white (satisfied)
- tile_1-2: black (satisfied)
- tile_1-3: clear (not satisfied)
- tile_2-1: black (satisfied)
- tile_2-2: white (satisfied)
- tile_2-3: black (satisfied)

**Constraints satisfied: 5**

### State 242
- tile_1-1: white (satisfied)
- tile_1-2: occupied (not satisfied)
- tile_1-3: clear (not satisfied)
- tile_2-1: black (satisfied)
- tile_2-2: white (satisfied)
- tile_2-3: black (satisfied)

**Constraints satisfied: 4**

### State 243
- tile_1-1: white (satisfied)
- tile_1-2: clear (not satisfied)
- tile_1-3: occupied, needs to be painted white (not satisfied)
- tile_2-1: black (satisfied)
- tile_2-2: white (satisfied)
- tile_2-3: black (satisfied)

**Constraints satisfied: 4**

### State 245
- tile_1-1: white (satisfied)
- tile_1-2: occupied (not satisfied)
- tile_1-3: clear (not satisfied)
- tile_2-1: black (satisfied)
- tile_2-2: white (satisfied)
- tile_2-3: black (satisfied)

**Constraints satisfied: 4**

### State 246
- tile_1-1: white (satisfied)
- tile_1-2: black (satisfied)
- tile_1-3: clear (not satisfied)
- tile_2-1: black (satisfied)
- tile_2-2: white (satisfied)
- tile_2-3: black (satisfied)

**Constraints satisfied: 5**

### State 248
- tile_1-1: white (satisfied)
- tile_1-2: clear (not satisfied)
- tile_1-3: clear (not satisfied)
- tile_2-1: black (satisfied)
- tile_2-2: white (satisfied)
- tile_2-3: black (satisfied)

**Constraints satisfied: 4**

### Ranking
States 236, 237, 239, and 246 satisfy 5 constraints each, so they are ranked higher. States 242, 243, 245, and 248 satisfy 4 constraints each, so they are ranked lower.

```ranking
236, 237, 239, 246, 242, 243, 245, 248
```

Final ranking:
Rank 1: State ID 236
State Description: Tile tile_0-1 is clear. Tile tile_0-2 is clear. Tile tile_0-3 is occupied by robot1. Tile tile_1-1 is painted white. Tile tile_1-2 is painted black. Tile tile_1-3 is clear. Tile tile_2-1 is painted black. Tile tile_2-2 is painted white. Tile tile_2-3 is painted black. Robot1 is on tile_0-3, holding color white. Colors white and black are available for switching.

Rank 2: State ID 237
State Description: Tile tile_0-1 is clear. Tile tile_0-2 is occupied by robot1. Tile tile_0-3 is clear. Tile tile_1-1 is painted white. Tile tile_1-2 is painted black. Tile tile_1-3 is clear. Tile tile_2-1 is painted black. Tile tile_2-2 is painted white. Tile tile_2-3 is painted black. Robot1 is on tile_0-2, holding color black. Colors white and black are available for switching.

Rank 3: State ID 239
State Description: Tile tile_0-1 is clear. Tile tile_0-2 is clear. Tile tile_0-3 is occupied by robot1. Tile tile_1-1 is painted white. Tile tile_1-2 is painted black. Tile tile_1-3 is clear. Tile tile_2-1 is painted black. Tile tile_2-2 is painted white. Tile tile_2-3 is painted black. Robot1 is on tile_0-3, holding color white. Colors white and black are available for switching.

Rank 4: State ID 246
State Description: Tile tile_0-1 is clear. Tile tile_0-2 is occupied by robot1. Tile tile_0-3 is clear. Tile tile_1-1 is painted white. Tile tile_1-2 is painted black. Tile tile_1-3 is clear. Tile tile_2-1 is painted black. Tile tile_2-2 is painted white. Tile tile_2-3 is painted black. Robot1 is on tile_0-2, holding color black. Colors white and black are available for switching.

Rank 5: State ID 242
State Description: Tile tile_0-1 is clear. Tile tile_0-2 is clear. Tile tile_0-3 is clear. Tile tile_1-1 is painted white. Tile tile_1-2 is occupied by robot1. Tile tile_1-3 is clear. Tile tile_2-1 is painted black. Tile tile_2-2 is painted white. Tile tile_2-3 is painted black. Robot1 is on tile_1-2, holding color black. Colors white and black are available for switching.

Rank 6: State ID 243
State Description: Tile tile_0-1 is clear. Tile tile_0-2 is clear. Tile tile_0-3 is clear. Tile tile_1-1 is painted white. Tile tile_1-2 is clear. Tile tile_1-3 is occupied by robot1 and needs to be painted white. Tile tile_2-1 is painted black. Tile tile_2-2 is painted white. Tile tile_2-3 is painted black. Robot1 is on tile_1-3, holding color white. Colors white and black are available for switching.

Rank 7: State ID 245
State Description: Tile tile_0-1 is clear. Tile tile_0-2 is clear. Tile tile_0-3 is clear. Tile tile_1-1 is painted white. Tile tile_1-2 is occupied by robot1. Tile tile_1-3 is clear. Tile tile_2-1 is painted black. Tile tile_2-2 is painted white. Tile tile_2-3 is painted black. Robot1 is on tile_1-2, holding color black. Colors white and black are available for switching.

Rank 8: State ID 248
State Description: Tile tile_0-1 is clear. Tile tile_0-2 is clear. Tile tile_0-3 is occupied by robot1. Tile tile_1-1 is painted white. Tile tile_1-2 is clear. Tile tile_1-3 is clear. Tile tile_2-1 is painted black. Tile tile_2-2 is painted white. Tile tile_2-3 is painted black. Robot1 is on tile_0-3, holding color black. Colors white and black are available for switching.

