Ranking at depth 7
Model's reasoning and response:
To solve this problem, we need to evaluate each state based on how many of the goal 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 49
- Curb_0 has car_0 (satisfied)
- Curb_1 has car_2 (not satisfied)
- Curb_2 has car_3 (not satisfied)
- Curb_3 has car_1 (not satisfied)

**Constraints satisfied: 1**

### State 50
- Curb_0 has car_0 (satisfied)
- Curb_1 has car_2 (not satisfied)
- Curb_2 is empty (not satisfied)
- Curb_3 has car_1 with car_3 double parked (not satisfied)

**Constraints satisfied: 1**

### State 53
- Curb_0 has car_0 (satisfied)
- Curb_1 has car_2 (not satisfied)
- Curb_2 has car_3 (not satisfied)
- Curb_3 has car_1 (not satisfied)

**Constraints satisfied: 1**

### State 54
- Curb_0 has car_0 (satisfied)
- Curb_1 has car_2 with car_1 double parked (not satisfied)
- Curb_2 is empty (not satisfied)
- Curb_3 has car_3 (not satisfied)

**Constraints satisfied: 1**

### State 55
- Curb_0 has car_0 (satisfied)
- Curb_1 has car_2 (not satisfied)
- Curb_2 has car_3 (not satisfied)
- Curb_3 has car_1 (not satisfied)

**Constraints satisfied: 1**

### Ranking
All states satisfy only one constraint. Therefore, they are equally ranked based on the number of constraints satisfied. However, if we consider the relative closeness to satisfying more constraints, we can look at the positions of the cars:

- States 49, 53, and 55 have the same configuration, so they are equally close.
- State 50 has car_3 double parked, which is less optimal.
- State 54 has car_1 double parked, which is also less optimal.

Thus, the ranking based on relative closeness is:

```ranking
49, 53, 55, 50, 54
```

Final ranking:
Rank 1: State ID 49
State Description: Curb_0 has car_0 parked, clear. Curb_1 has car_2 parked, clear. Curb_2 has car_3 parked, clear. Curb_3 has car_1 parked, clear. All cars are now in their goal positions.

Rank 2: State ID 53
State Description: Curb_0 has car_0 parked, clear. Curb_1 has car_2 parked, clear. Curb_2 has car_3 parked, clear. Curb_3 has car_1 parked, clear.

Rank 3: State ID 55
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.

Rank 4: State ID 50
State Description: Curb_0 has car_0 parked, clear. Curb_1 has car_2 parked, clear. Curb_2 is empty, clear. Curb_3 has car_1 parked with car_3 double parked behind it, car_1 not clear, car_3 clear.

Rank 5: State ID 54
State Description: Curb_0 has car_0 parked, clear. Curb_1 has car_2 parked, not clear, car_1 is double parked behind it, clear. Curb_2 is empty. Curb_3 has car_3 parked, clear.

