Ranking at depth 12
Model's reasoning and response:
To solve this problem, we need to evaluate each state based on how many goal constraints are satisfied. The goal constraints are:

1. **p0** on floor 0 (n0).
2. **p3** on floor 0 (n0).
3. **p2** on floor 2 (n2).
4. **p5** on floor 2 (n2).
5. **p1** on floor 3 (n3).
6. **p4** on floor 3 (n3).

Let's evaluate each state:

### State 58
- **p0**: On floor 0 (n0) - **Satisfied**
- **p3**: On floor 0 (n0) - **Satisfied**
- **p2**: On floor 2 (n2) - **Satisfied**
- **p5**: On floor 3 (n3) - Not satisfied
- **p1**: Onboard fast0 at floor 1 (n1) - Not satisfied
- **p4**: On floor 1 (n1) - Not satisfied

**Constraints satisfied: 3**

### State 59
- **p0**: On floor 0 (n0) - **Satisfied**
- **p3**: On floor 0 (n0) - **Satisfied**
- **p2**: On floor 2 (n2) - **Satisfied**
- **p5**: On floor 3 (n3) - Not satisfied
- **p1**: On floor 1 (n1) - Not satisfied
- **p4**: Onboard fast0 at floor 1 (n1) - Not satisfied

**Constraints satisfied: 3**

### State 61
- **p0**: On floor 1 (n1) - Not satisfied
- **p3**: On floor 0 (n0) - **Satisfied**
- **p2**: On floor 2 (n2) - **Satisfied**
- **p5**: On floor 3 (n3) - Not satisfied
- **p1**: On floor 1 (n1) - Not satisfied
- **p4**: On floor 3 (n3) - **Satisfied**

**Constraints satisfied: 3**

### State 63
- **p0**: On floor 1 (n1) - Not satisfied
- **p3**: On floor 0 (n0) - **Satisfied**
- **p2**: On floor 2 (n2) - **Satisfied**
- **p5**: On floor 3 (n3) - **Satisfied**
- **p1**: On floor 3 (n3) - **Satisfied**
- **p4**: Onboard fast0 at floor 3 (n3) - **Satisfied**

**Constraints satisfied: 5**

### State 64
- **p0**: On floor 1 (n1) - Not satisfied
- **p3**: On floor 0 (n0) - **Satisfied**
- **p2**: On floor 2 (n2) - **Satisfied**
- **p5**: On floor 3 (n3) - **Satisfied**
- **p1**: Onboard fast0 at floor 3 (n3) - **Satisfied**
- **p4**: On floor 3 (n3) - **Satisfied**

**Constraints satisfied: 5**

### State 65
- **p0**: On floor 1 (n1) - Not satisfied
- **p3**: On floor 0 (n0) - **Satisfied**
- **p2**: On floor 2 (n2) - **Satisfied**
- **p5**: On floor 3 (n3) - **Satisfied**
- **p1**: On floor 3 (n3) - **Satisfied**
- **p4**: Onboard fast0 at floor 3 (n3) - **Satisfied**

**Constraints satisfied: 5**

### State 66
- **p0**: On floor 1 (n1) - Not satisfied
- **p3**: On floor 0 (n0) - **Satisfied**
- **p2**: On floor 2 (n2) - **Satisfied**
- **p5**: On floor 3 (n3) - **Satisfied**
- **p1**: Onboard fast0 at floor 3 (n3) - **Satisfied**
- **p4**: On floor 3 (n3) - **Satisfied**

**Constraints satisfied: 5**

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

```ranking
63, 64, 65, 66, 58, 59, 61
```

States 63, 64, 65, and 66 satisfy 5 constraints, while states 58, 59, and 61 satisfy 3 constraints.

Final ranking:
Rank 1: State ID 63
State Description: - **fast0**: A fast elevator at floor 3 (n3), with 1 passenger (p4) and a capacity of 2.- **fast1**: A fast elevator at floor 0 (n0), with 0 passengers and a capacity of 2.- **slow0-0**: A slow elevator at floor 1 (n1), with 0 passengers and a capacity of 1.- **slow1-0**: A slow elevator at floor 3 (n3), with 0 passengers and a capacity of 1.- **p0**: On floor 1 (n1).- **p1**: On floor 3 (n3).- **p2**: On floor 2 (n2).- **p3**: On floor 0 (n0).- **p4**: Onboard fast0 at floor 3 (n3).- **p5**: On floor 3 (n3).

Rank 2: State ID 64
State Description: - **fast0**: A fast elevator at floor 3 (n3), with 1 passenger (p1) and a capacity of 2.- **fast1**: A fast elevator at floor 0 (n0), with 0 passengers and a capacity of 2.- **slow0-0**: A slow elevator at floor 1 (n1), with 0 passengers and a capacity of 1.- **slow1-0**: A slow elevator at floor 3 (n3), with 0 passengers and a capacity of 1.- **p0**: On floor 1 (n1).- **p1**: Onboard fast0 at floor 3 (n3).- **p2**: On floor 2 (n2).- **p3**: On floor 0 (n0).- **p4**: On floor 3 (n3).- **p5**: On floor 3 (n3).

Rank 3: State ID 65
State Description: - **fast0**: A fast elevator at floor 3 (n3), with 1 passenger (p4) and a capacity of 2.- **fast1**: A fast elevator at floor 0 (n0), with 0 passengers and a capacity of 2.- **slow0-0**: A slow elevator at floor 1 (n1), with 0 passengers and a capacity of 1.- **slow1-0**: A slow elevator at floor 3 (n3), with 0 passengers and a capacity of 1.- **p0**: On floor 1 (n1).- **p1**: On floor 3 (n3).- **p2**: On floor 2 (n2).- **p3**: On floor 0 (n0).- **p4**: Onboard fast0 at floor 3 (n3).- **p5**: On floor 3 (n3).

Rank 4: State ID 66
State Description: - **fast0**: A fast elevator at floor 3 (n3), with 1 passenger (p1) and a capacity of 2.- **fast1**: A fast elevator at floor 0 (n0), with 0 passengers and a capacity of 2.- **slow0-0**: A slow elevator at floor 1 (n1), with 0 passengers and a capacity of 1.- **slow1-0**: A slow elevator at floor 3 (n3), with 0 passengers and a capacity of 1.- **p0**: On floor 1 (n1).- **p1**: Onboard fast0 at floor 3 (n3).- **p2**: On floor 2 (n2).- **p3**: On floor 0 (n0).- **p4**: On floor 3 (n3).- **p5**: On floor 3 (n3).

Rank 5: State ID 58
State Description: - fast0: At floor n1, 1/2 passengers (p1 on board).- fast1: At floor n0, 0/2 passengers.- slow0-0: At floor n0, 0/1 passengers.- slow1-0: At floor n3, 0/1 passengers.- p0: On floor n0.- p1: On board fast0.- p2: On floor n2.- p3: On floor n0.- p4: On floor n1.- p5: On floor n3.

Rank 6: State ID 59
State Description: - fast0: At floor n1, 1/2 passengers (p4 on board).- fast1: At floor n0, 0/2 passengers.- slow0-0: At floor n0, 0/1 passengers.- slow1-0: At floor n3, 0/1 passengers.- p0: On floor n0.- p1: On floor n1.- p2: On floor n2.- p3: On floor n0.- p4: On board fast0.- p5: On floor n3.

Rank 7: State ID 61
State Description: - **fast0**: A fast elevator now at floor 1 (n1), with 0 passengers and a capacity of 2.- **fast1**: A fast elevator at floor 0 (n0), with 0 passengers and a capacity of 2.- **slow0-0**: A slow elevator at floor 1 (n1), with 0 passengers and a capacity of 1.- **slow1-0**: A slow elevator at floor 3 (n3), with 0 passengers and a capacity of 1.- **p0**: On floor 1 (n1).- **p1**: On floor 1 (n1).- **p2**: On floor 2 (n2).- **p3**: On floor 0 (n0).- **p4**: On floor 3 (n3).- **p5**: On floor 3 (n3).

