Ranking at depth 21
Model's reasoning and response:
To solve this problem, we need to evaluate each state against the goal constraints and rank them based on how many constraints are satisfied. The goal is to have:

- Curb_0 with car_0
- Curb_1 with car_1
- Curb_2 with car_2
- Curb_3 with car_3

Let's evaluate each state:

### State 190
- **Curb_0**: car_0 (satisfied)
- **Curb_1**: empty (not satisfied)
- **Curb_2**: car_1 (satisfied)
- **Curb_3**: car_3 with car_2 double parked (not satisfied)

**Constraints satisfied**: 2 (Curb_0 and Curb_2)

### State 192
- **Curb_0**: car_0 with car_2 double parked (not satisfied)
- **Curb_1**: empty (not satisfied)
- **Curb_2**: car_1 (satisfied)
- **Curb_3**: car_3 (satisfied)

**Constraints satisfied**: 2 (Curb_2 and Curb_3)

### State 193
- **Curb_0**: car_0 (satisfied)
- **Curb_1**: empty (not satisfied)
- **Curb_2**: car_1 with car_2 double parked (not satisfied)
- **Curb_3**: car_3 (satisfied)

**Constraints satisfied**: 2 (Curb_0 and Curb_3)

### State 194
- **Curb_0**: car_0 (satisfied)
- **Curb_1**: empty (not satisfied)
- **Curb_2**: car_1 (satisfied)
- **Curb_3**: car_3 with car_2 double parked (not satisfied)

**Constraints satisfied**: 2 (Curb_0 and Curb_2)

### State 195
- **Curb_0**: car_0 with car_2 double parked (not satisfied)
- **Curb_1**: empty (not satisfied)
- **Curb_2**: car_1 (satisfied)
- **Curb_3**: car_3 (satisfied)

**Constraints satisfied**: 2 (Curb_2 and Curb_3)

### State 196
- **Curb_0**: car_0 (satisfied)
- **Curb_1**: car_2 (not satisfied)
- **Curb_2**: car_3 (not satisfied)
- **Curb_3**: car_1 (not satisfied)

**Constraints satisfied**: 1 (Curb_0)

### State 197
- **Curb_0**: car_0 (satisfied)
- **Curb_1**: empty (not satisfied)
- **Curb_2**: car_3 with car_2 double parked (not satisfied)
- **Curb_3**: car_1 (satisfied)

**Constraints satisfied**: 2 (Curb_0 and Curb_3)

### Ranking
All states except State 196 satisfy 2 constraints. State 196 satisfies only 1 constraint. Therefore, the ranking based on the number of constraints satisfied is:

```ranking
190, 192, 193, 194, 195, 197, 196
```

This ranking reflects the states with the highest number of satisfied constraints as better.

Final ranking:
Rank 1: State ID 190
State Description: Curb_0 contains car_0, clear. Curb_1 is empty, clear. Curb_2 contains car_1, clear. Curb_3 contains car_3 with car_2 double parked behind it; car_3 is not clear, car_2 is clear. Car_0 is parked and clear. Car_1 is parked and clear. Car_2 is double parked and clear. Car_3 is parked and not clear.

Rank 2: State ID 192
State Description: Curb_0: Car_0 parked, not clear; car_2 double parked behind car_0, clear.  Curb_1: Clear, empty.  Curb_2: Car_1 parked, clear.  Curb_3: Car_3 parked, clear.  Cars: Car_0 not clear, car_2 clear, car_1 clear, car_3 clear.

Rank 3: State ID 193
State Description: Curb_0 contains car_0, clear. Curb_1 is empty, clear. Curb_2 contains car_1 with car_2 double-parked behind it, car_1 not clear, car_2 clear. Curb_3 contains car_3, clear. Car_0 is parked and clear. Car_1 is parked and not clear. Car_2 is double-parked and clear. Car_3 is parked and clear.

Rank 4: State ID 194
State Description: Curb_0 contains car_0, clear. Curb_1 is empty, clear. Curb_2 contains car_1, clear. Curb_3 contains car_3, not clear, with car_2 double parked behind it. Car_0 is parked and clear. Car_1 is parked and clear. Car_2 is double parked and clear. Car_3 is parked and not clear.

Rank 5: State ID 195
State Description: Curb_0 contains car_0, not clear, with car_2 behind it. Curb_1 is clear. Curb_2 contains car_1, clear. Curb_3 contains car_3, clear. Car_0 is parked, not clear. Car_1 is parked and clear. Car_2 is behind car_0 and clear. Car_3 is parked and clear.

Rank 6: State ID 197
State Description: Curb_0 contains car_0, clear. Curb_1 is empty, clear. Curb_2 contains car_3, not clear, with car_2 double parked behind it. Curb_3 contains car_1, clear. Car_0 is parked and clear. Car_1 is parked and clear. Car_2 is double parked behind car_3, clear. Car_3 is parked, not clear.

Rank 7: State ID 196
State Description: Curb_0 contains car_0, clear. Curb_1 contains car_2, clear. Curb_2 contains car_3, clear. Curb_3 contains car_1, clear. Car_0 is parked and clear. Car_1 is parked and clear. Car_2 is parked and clear. Car_3 is parked and clear.

