Ranking at depth 17
Model's reasoning and response:
To rank the states, we need to evaluate how many goal constraints each state satisfies. The goal constraints are:

1. **Row 1:**
   - `tile_1-1` should be painted white.
   - `tile_1-2` should be painted black.
   - `tile_1-3` should be painted white.

2. **Row 2:**
   - `tile_2-1` should be painted black.
   - `tile_2-2` should be painted white.
   - `tile_2-3` should be painted black.

Let's evaluate each state:

### State 211
- `tile_1-1` is painted white. (Constraint satisfied)
- `tile_1-2` is occupied by robot1. (Not satisfied)
- `tile_1-3` is clear. (Not satisfied)
- `tile_2-1` is painted black. (Constraint satisfied)
- `tile_2-2` is painted white. (Constraint satisfied)
- `tile_2-3` is painted black. (Constraint satisfied)

**Constraints satisfied: 4**

### State 212
- `tile_1-1` is painted white. (Constraint satisfied)
- `tile_1-2` is clear. (Not satisfied)
- `tile_1-3` is occupied by robot1. (Not satisfied)
- `tile_2-1` is painted black. (Constraint satisfied)
- `tile_2-2` is painted white. (Constraint satisfied)
- `tile_2-3` is painted black. (Constraint satisfied)

**Constraints satisfied: 4**

### State 215
- `tile_1-1` is painted white. (Constraint satisfied)
- `tile_1-2` is occupied by robot1. (Not satisfied)
- `tile_1-3` is clear. (Not satisfied)
- `tile_2-1` is painted black. (Constraint satisfied)
- `tile_2-2` is painted white. (Constraint satisfied)
- `tile_2-3` is painted black. (Constraint satisfied)

**Constraints satisfied: 4**

### State 216
- `tile_1-1` is painted white. (Constraint satisfied)
- `tile_1-2` is clear. (Not satisfied)
- `tile_1-3` is occupied by robot1. (Not satisfied)
- `tile_2-1` is painted black. (Constraint satisfied)
- `tile_2-2` is painted white. (Constraint satisfied)
- `tile_2-3` is painted black. (Constraint satisfied)

**Constraints satisfied: 4**

### State 217
- `tile_1-1` is painted white. (Constraint satisfied)
- `tile_1-2` is clear. (Not satisfied)
- `tile_1-3` is occupied by robot1. (Not satisfied)
- `tile_2-1` is painted black. (Constraint satisfied)
- `tile_2-2` is painted white. (Constraint satisfied)
- `tile_2-3` is painted black. (Constraint satisfied)

**Constraints satisfied: 4**

### State 218
- `tile_1-1` is painted white. (Constraint satisfied)
- `tile_1-2` is clear. (Not satisfied)
- `tile_1-3` is clear. (Not satisfied)
- `tile_2-1` is painted black. (Constraint satisfied)
- `tile_2-2` is painted white. (Constraint satisfied)
- `tile_2-3` is painted black. (Constraint satisfied)

**Constraints satisfied: 4**

### State 219
- `tile_1-1` is painted white. (Constraint satisfied)
- `tile_1-2` is occupied by robot1. (Not satisfied)
- `tile_1-3` is clear. (Not satisfied)
- `tile_2-1` is painted black. (Constraint satisfied)
- `tile_2-2` is painted white. (Constraint satisfied)
- `tile_2-3` is painted black. (Constraint satisfied)

**Constraints satisfied: 4**

### State 220
- `tile_1-1` is painted white. (Constraint satisfied)
- `tile_1-2` is clear. (Not satisfied)
- `tile_1-3` is clear. (Not satisfied)
- `tile_2-1` is painted black. (Constraint satisfied)
- `tile_2-2` is painted white. (Constraint satisfied)
- `tile_2-3` is painted black. (Constraint satisfied)

**Constraints satisfied: 4**

### State 221
- `tile_1-1` is painted white. (Constraint satisfied)
- `tile_1-2` is clear. (Not satisfied)
- `tile_1-3` is clear. (Not satisfied)
- `tile_2-1` is painted black. (Constraint satisfied)
- `tile_2-2` is painted white. (Constraint satisfied)
- `tile_2-3` is painted black. (Constraint satisfied)

**Constraints satisfied: 4**

### State 222
- `tile_1-1` is painted white. (Constraint satisfied)
- `tile_1-2` is painted black. (Constraint satisfied)
- `tile_1-3` is clear. (Not satisfied)
- `tile_2-1` is painted black. (Constraint satisfied)
- `tile_2-2` is painted white. (Constraint satisfied)
- `tile_2-3` is painted black. (Constraint satisfied)

**Constraints satisfied: 5**

### Ranking
State 222 satisfies the most constraints (5), while all other states satisfy 4 constraints. Therefore, State 222 is ranked the best.

```ranking
222, 211, 212, 215, 216, 217, 218, 219, 220, 221
```

Final ranking:
Rank 1: State ID 222
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 2: State ID 211
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 3: State ID 212
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. 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 4: State ID 215
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 5: State ID 216
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. 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 6: State ID 217
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. 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 218
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 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_0-2, holding color white. Colors white and black are available for switching.

Rank 8: State ID 219
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 9: State ID 220
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.

Rank 10: State ID 221
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 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_0-2, holding color white. Colors white and black are available for switching.

