Ranking at depth 7
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 constraints are:

1. Curb_3 should have Car_3.
2. Curb_2 should have Car_2.
3. Curb_1 should have Car_1.
4. Curb_0 should have Car_0.

Let's evaluate each state:

### State 61
- **Curb_3**: Car_0 (not Car_3) - Not satisfied.
- **Curb_2**: Car_2 - Satisfied.
- **Curb_1**: Car_1 - Satisfied.
- **Curb_0**: Empty (not Car_0) - Not satisfied.

**Constraints satisfied**: 2 (Curb_2 and Curb_1)

### State 66
- **Curb_3**: Car_3 - Satisfied.
- **Curb_2**: Car_2 - Satisfied.
- **Curb_1**: Car_1 (with Car_0 double parked) - Not satisfied.
- **Curb_0**: Empty (not Car_0) - Not satisfied.

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

### State 68
- **Curb_3**: Car_0 (not Car_3) - Not satisfied.
- **Curb_2**: Car_2 (with Car_3 double parked) - Not satisfied.
- **Curb_1**: Car_1 - Satisfied.
- **Curb_0**: Empty (not Car_0) - Not satisfied.

**Constraints satisfied**: 1 (Curb_1)

### State 70
- **Curb_3**: Car_0 (not Car_3) - Not satisfied.
- **Curb_2**: Car_2 - Satisfied.
- **Curb_1**: Car_1 (with Car_3 double parked) - Not satisfied.
- **Curb_0**: Empty (not Car_0) - Not satisfied.

**Constraints satisfied**: 1 (Curb_2)

### State 76
- **Curb_3**: Car_0 (not Car_3) - Not satisfied.
- **Curb_2**: Car_2 - Satisfied.
- **Curb_1**: Car_3 (with Car_1 double parked) - Not satisfied.
- **Curb_0**: Empty (not Car_0) - Not satisfied.

**Constraints satisfied**: 1 (Curb_2)

### Ranking
Based on the number of constraints satisfied, the ranking from best to worst is:

1. State 61 and State 66 (both satisfy 2 constraints)
2. State 68, State 70, and State 76 (each satisfies 1 constraint)

Since State 61 and State 66 both satisfy 2 constraints, they are tied for the best position. The remaining states are tied for the next position.

```ranking
61, 66, 68, 70, 76
```

Final ranking:
Rank 1: State ID 61
State Description: - Curb_0: Empty and clear.- Curb_1: Car_1 is parked on it and is clear.- Curb_2: Car_2 is parked on it and is clear.- Curb_3: Car_0 is parked on it and not clear, with car_3 double parked behind it.- Car_1: Parked inside curb_1, clear.- Car_2: Parked inside curb_2, clear.- Car_0: Parked inside curb_3, not clear.- Car_3: Double parked behind car_0 on curb_3, clear.

Rank 2: State ID 66
State Description: - Curb_0: Empty and clear.- Curb_1: Car_1 is parked on it and has car0 double parked behind it. Car_1 is not clear, car0 is clear.- Curb_2: Car_2 is parked on it and is clear.- Curb_3: Car_3 is parked on it and is clear.- Car_1: Not clear, parked in curb_1.- Car_2: Clear, parked in curb_2.- Car_3: Clear, parked in curb_3.- Car_0: Clear, double parked behind car1.

Rank 3: State ID 68
State Description: - Curb_0: Empty and clear.- Curb_1: Car_1 is parked on it and is now clear since car0 was moved.- Curb_2: Car_2 is parked on it and car3 is double parked behind it. Car_2 is not clear, car3 is clear.- Curb_3: Car_0 is parked on it, and curb_3 is no longer clear.

Rank 4: State ID 70
State Description: - Curb_0 is now clear, as car3 has moved.- Curb_1 contains car1 and car3 is double parked behind it, so car1 is not clear.- Curb_2 contains car2, clear.- Curb_3 contains car0, clear.- Car1 is parked at curb_1, not clear.- Car3 is parked behind car1 at curb_1, clear.- Car2 is parked at curb_2, clear.- Car0 is parked at curb_3, clear.

Rank 5: State ID 76
State Description: Curb_0: Empty, clear.Curb_1: Car_3 parked and not clear (car1 behind it).Curb_2: Car_2 parked and clear.Curb_3: Car_0 parked and clear.Car_1: Double parked behind Car_3 at curb_1, clear.Car_3: Parked in Curb_1, not clear with Car_1 behind it.Car_2: Parked in Curb_2, clear.Car_0: Parked in Curb_3, clear.

