Ranking at depth 8
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 81
- Curb_0: Car_3 (not satisfied)
- Curb_1: Car_1 (satisfied)
- Curb_2: Car_2 (satisfied)
- Curb_3: Car_0 (not satisfied)

**Constraints satisfied: 2**

### State 82
- Curb_0: Empty (not satisfied)
- Curb_1: Car_1 (satisfied)
- Curb_2: Car_2 (satisfied)
- Curb_3: Car_0 (not satisfied)

**Constraints satisfied: 2**

### State 83
- Curb_0: Car_0 (satisfied)
- Curb_1: Car_1 (satisfied)
- Curb_2: Car_2 (satisfied)
- Curb_3: Car_3 (satisfied)

**Constraints satisfied: 4**

### State 84
- Curb_0: Empty (not satisfied)
- Curb_1: Car_1 (satisfied)
- Curb_2: Car_2 (satisfied)
- Curb_3: Car_3 (satisfied)

**Constraints satisfied: 3**

### State 85
- Curb_0: Car_3 (not satisfied)
- Curb_1: Car_1 (satisfied)
- Curb_2: Car_2 (satisfied)
- Curb_3: Car_0 (not satisfied)

**Constraints satisfied: 2**

### State 86
- Curb_0: Empty (not satisfied)
- Curb_1: Car_1 (satisfied)
- Curb_2: Car_2 (satisfied)
- Curb_3: Car_0 (not satisfied)

**Constraints satisfied: 2**

### State 87
- Curb_0: Empty (not satisfied)
- Curb_1: Car_1 (satisfied)
- Curb_2: Car_2 (satisfied)
- Curb_3: Car_0 (not satisfied)

**Constraints satisfied: 2**

### State 89
- Curb_0: Empty (not satisfied)
- Curb_1: Car_1 (satisfied)
- Curb_2: Car_2 (satisfied)
- Curb_3: Car_0 (not satisfied)

**Constraints satisfied: 2**

### State 93
- Curb_0: Car_3 (not satisfied)
- Curb_1: Car_1 (satisfied)
- Curb_2: Car_2 (satisfied)
- Curb_3: Car_0 (not satisfied)

**Constraints satisfied: 2**

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

```ranking
83, 84, 81, 82, 85, 86, 87, 89, 93
```

State 83 satisfies all four constraints, making it the best state. State 84 satisfies three constraints, making it the second best. The rest satisfy two constraints each, so they are ranked equally after 84.

Final ranking:
Rank 1: State ID 83
State Description: - Curb_0: Car_0 is parked on it and is 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_3 is parked on it and is clear.- Car_1: Clear, parked in curb_1.- Car_2: Clear, parked in curb_2.- Car_3: Clear, parked in curb_3.- Car_0: Clear, parked in curb_0.

Rank 2: State ID 84
State Description: - Curb_0: Empty and clear.- Curb_1: Car_1 is parked and clear.- Curb_2: Car_2 is parked on it and has car0 double parked behind it. Car_2 is not clear, car0 is clear.- Curb_3: Car_3 is parked on it and is clear.- Car_1: Clear, parked in curb_1.- Car_2: Not clear, parked in curb_2.- Car_3: Clear, parked in curb_3.- Car_0: Clear, double parked behind car2.

Rank 3: State ID 81
State Description: - Curb_0: Car_3 is parked on it and is 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 is clear.- Car_1: Parked inside curb_1, clear.- Car_2: Parked inside curb_2, clear.- Car_0: Parked inside curb_3, clear.- Car_3: Parked inside curb_0, clear.

Rank 4: State ID 82
State Description: - Curb_0: Empty and clear.- Curb_1: Car_1 is parked on it and not clear with car_3 double parked behind it.- Curb_2: Car_2 is parked on it and clear.- Curb_3: Car_0 is parked on it and clear.- Car_1: Parked inside curb_1, not clear.- Car_3: Double parked behind car_1 on curb_1, clear.- Car_2: Parked inside curb_2, clear.- Car_0: Parked inside curb_3, clear.

Rank 5: State ID 85
State Description: - Curb_0: Car_3 is parked on it and is clear.- Curb_1: Car_1 is parked on it and is clear.- Curb_2: Car_2 is parked on it and is now clear.- Curb_3: Car_0 is parked on it and is clear.- Car_3: Moved to curb_0 and is clear.- Car_2: Clear and parked on curb_2.- Car_1: Clear and parked on curb_1.- Car_0: Clear and parked on curb_3.

Rank 6: State ID 86
State Description: - Curb_0: Empty and clear.- Curb_1: Car_1 is parked on it and is not clear because Car_3 is double parked behind it.- Curb_2: Car_2 is parked on it and is now clear since Car_3 moved.- Curb_3: Car_0 is parked on it, and it is still clear.- Car_1: Parked on curb_1, not clear.- Car_3: Now double parked behind Car_1 on curb_1, clear.- Car_2: Parked on curb_2, now clear.- Car_0: Parked on curb_3, clear.

Rank 7: State ID 87
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 now clear as Car_3 is no longer behind it.- Curb_3: Car_0 is parked on it with Car_3 now behind it. Car_0 is not clear, Car_3 is clear.- Car_1: Clear, parked on Curb_1.- Car_2: Clear, parked on Curb_2.- Car_3: Clear, double parked behind Car_0.- Car_0: Not clear, primary on Curb_3.

Rank 8: State ID 89
State Description: - Curb_0 is clear.- Curb_1 contains only car1, which is now clear.- Curb_2 contains car2, which remains clear.- Curb_3 contains car0 with car3 double parked behind it, so car0 is not clear, but car3 is clear.- Car1 is parked at curb_1, clear.- Car3 is parked behind car0 at curb_3, clear.- Car2 is parked at curb_2, clear.- Car0 is parked at curb_3, not clear.

Rank 9: State ID 93
State Description: - Curb_0 contains car3, now clear.- Curb_1 contains car1, now clear again.- Curb_2 contains car2, clear.- Curb_3 contains car0, clear.- Car1 is parked single at curb_1, clear.- Car3 has moved from behind car1 to curb_0, parked clear.- Car2 is parked at curb_2, clear.- Car0 is parked at curb_3, clear.

