Ranking at depth 12
Model's reasoning and response:
To solve this problem, we need to evaluate each state against the goal state, which requires:

- Curb_0 to have car_0
- Curb_1 to have car_1
- Curb_2 to have car_2
- Curb_3 to have car_3

Let's evaluate each state:

### State 104
- Curb_0: car_0 (Correct)
- Curb_1: Empty (Incorrect)
- Curb_2: car_3 with car_2 double-parked (Incorrect)
- Curb_3: car_1 (Incorrect)

**Constraints Satisfied:** 1 (Curb_0)

### State 105
- Curb_0: car_0 (Correct)
- Curb_1: car_2 with car_1 double-parked (Incorrect)
- Curb_2: car_3 (Incorrect)
- Curb_3: Empty (Incorrect)

**Constraints Satisfied:** 1 (Curb_0)

### State 106
- Curb_0: car_0 (Correct)
- Curb_1: Empty (Incorrect)
- Curb_2: car_3 (Incorrect)
- Curb_3: car_1 with car_2 double-parked (Incorrect)

**Constraints Satisfied:** 1 (Curb_0)

### State 107
- Curb_0: car_0 with car_2 double-parked (Incorrect)
- Curb_1: Empty (Incorrect)
- Curb_2: car_3 (Incorrect)
- Curb_3: car_1 (Incorrect)

**Constraints Satisfied:** 0

### State 111
- Curb_0: car_0 (Correct)
- Curb_1: car_2 (Incorrect)
- Curb_2: car_3 (Correct)
- Curb_3: car_1 (Correct)

**Constraints Satisfied:** 3 (Curb_0, Curb_2, Curb_3)

### State 113
- Curb_0: car_0 (Correct)
- Curb_1: car_2 (Incorrect)
- Curb_2: car_3 (Correct)
- Curb_3: car_1 (Correct)

**Constraints Satisfied:** 3 (Curb_0, Curb_2, Curb_3)

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

```ranking
111, 113, 104, 105, 106, 107
```

**Reasoning:**
- States 111 and 113 satisfy three constraints each, making them the best.
- States 104, 105, and 106 each satisfy one constraint, so they are next.
- State 107 satisfies no constraints, making it the worst.

Final ranking:
Rank 1: State ID 111
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 2: State ID 113
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. Car_0 is parked, clear. Car_1 is parked, clear. Car_2 is parked, clear. Car_3 is parked, clear.

Rank 3: State ID 104
State Description: Curb_0 has car_0 parked, clear. Curb_1 is empty, clear. Curb_2 has car_3 parked with car_2 double-parked behind it, car_3 not clear, car_2 clear. Curb_3 has car_1 parked, clear.

Rank 4: State ID 105
State Description: Curb_0 has car_0 parked, clear. Curb_1 has car_2 parked with car_1 double parked behind it, car_2 is not clear, car_1 is clear. Curb_2 has car_3 parked, clear. Curb_3 is empty, clear.

Rank 5: State ID 106
State Description: Curb_0 has car_0 parked, clear. Curb_1 is now clear. Curb_2 has car_3 parked, clear. Curb_3 has car_1 with car_2 double-parked behind it, so car_1 is no longer clear, but car_2 is clear.

Rank 6: State ID 107
State Description: Curb_0 contains car_0, not clear. Car_1 is double parked behind car_0, clear. Curb_1 is empty, clear. Curb_2 contains car_3, clear. Curb_3 contains car_1, clear. Car_0 is parked, not clear. Car_1 is parked, clear. Car_2 is double parked behind car_0, clear. Car_3 is parked, clear.

