Ranking at depth 20
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. Shot1 must contain cocktail1, which is the cocktail created by mixing ingredient2 (part1) and ingredient1 (part2).
2. Shot2 must contain cocktail2, which is the cocktail created by mixing ingredient1 (part1) and ingredient2 (part2).

Let's evaluate each state:

### State 95
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)

### State 97
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)

### State 98
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)

### State 99
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)

### State 100
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Contains ingredient2, not cocktail2. (Constraint 2 not satisfied)

### Ranking
All states satisfy the first constraint, but none satisfy the second constraint. Therefore, all states are equally close to the goal, as they all satisfy one constraint. However, State 100 is slightly closer to satisfying the second constraint because Shot2 contains an ingredient, even though it's not the correct cocktail.

```ranking
100, 95, 97, 98, 99
```

### Reasoning
- **State 100** is ranked first because Shot2 contains an ingredient, indicating progress towards the second constraint.
- **States 95, 97, 98, and 99** are ranked equally since they all satisfy only the first constraint and have no progress towards the second constraint.

Final ranking:
Rank 1: State ID 100
State Description: - Shot1: Contains cocktail1, on the table, not clean, not empty.- Shot2: Clean, empty, on the table.- Shot3: Contains ingredient2, held by left hand, not clean, not empty.- Shaker1: Contains ingredient1, not clean, not empty, fill level l1, on the table.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient2 and ingredient1, now in shot1.- Cocktail2: Defined by mixing ingredient1 and ingredient2.

Rank 2: State ID 95
State Description: - Shot1: Contains cocktail1, on the table, no longer clean or empty.- Shot2: Clean, empty, on the table.- Shot3: Empty, on the table, no longer clean.- Shaker1: Contains ingredient1 and ingredient2, not clean, at fill level l2, unshaken, held by left hand.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shaker1.- Right hand: Empty.- Cocktail1: Now in shot1, defined as mixed from ingredient2 and ingredient1.- Cocktail2: Defined but not yet mixed.

Rank 3: State ID 97
State Description: - Shot1: Contains cocktail1, on the table, not clean, not empty.- Shot2: Clean, empty, on the table.- Shot3: Empty, held by left hand, not clean.- Shaker1: Contains ingredient1 and ingredient2, on the table, not clean, not empty, at fill level l2.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient2 and ingredient1, now in shot1.- Cocktail2: Defined by mixing ingredient1 and ingredient2.

Rank 4: State ID 98
State Description: - Shot1: Contains cocktail1, on the table, not clean, not empty.- Shot2: Clean, empty, on the table.- Shot3: Empty, held by left hand, clean.- Shaker1: Contains ingredient1 and ingredient2, on the table, not clean, not empty, at fill level l2.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding empty shot3.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient2 and ingredient1, now in shot1.- Cocktail2: Defined by mixing ingredient1 and ingredient2, ingredients in shaker1.

Rank 5: State ID 99
State Description: - Shot1: Contains cocktail1, on the table, not clean, not empty.- Shot2: Clean, empty, on the table.- Shot3: Empty, held by left hand, not clean.- Shaker1: Contains ingredient1 and ingredient2, not clean, not empty, fill level l2, on the table.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3, now empty, not clean.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient2 and ingredient1, now in shot1.- Cocktail2: Defined by mixing ingredient1 and ingredient2, ingredients now in shaker1.

