• author: All About AI

Solving the Water Jug Problem with GPT

If you've been following our latest videos, you may know that we have been trying to solve a problem with chat GPT (Generative Pretrained Transformer) for a while now. Specifically, we have been attempting to solve the classic water jug problem where we have a 12L jug and a 6L jug and we need to measure out 6L of water. However, we have been running into some issues when trying to solve this problem with GPT-4.

After much research and testing, we have finally found a prompt sequence that solves not only this problem but all kinds of similar problems. In this article, we will outline the steps we took to find this prompt sequence.

Defining the Problem

The first step in solving any problem is defining what the problem is. In our case, the problem is the water jug problem. Specifically, we have a 12L jug and a 6L jug, and we need to measure out 6L of water.

Exploring Solutions

Once we have defined the problem, we can start exploring different solutions. We came up with three different strategies, ranging from the simplest to more complex:

  1. Fill the 6L jug to the top.
  2. Fill the 12L jug to the top, pour into the 6L jug until full, then pour the remaining water from the 12L jug into the 6L jug until full.
  3. Fill the 12L jug to the top, pour into the 6L jug until full, pour the remaining water from the 12L jug back into the 12L jug, fill the 6L jug to the top from the 12L jug, and pour the remaining water from the 6L jug into the 12L jug until full.

Evaluating Solutions

Next, we evaluated each solution based on the most logical real-world answer, time required, and reasoning. Solution 1 was the most straightforward and logical, and also required the least amount of time and other resources, so it scored 10 out of 10. Solution 2 scored 8 out of 10 for logic and 7 out of 10 for time, while Solution 3 scored 5 out of 10 in both categories.

Identifying Applicable Solutions

After evaluating our solutions, we then re-evaluated them to identify if they were applicable and relevant to the initial problem statement. We found that all of our solutions were applicable, except for Solution 3, which operated under additional constraints not present in the problem statement.

Presenting the Best Solution

Lastly, we presented the best solution, along with its rank and reasoning. The best solution was to fill the 6L jug to the top, which scored 10 out of 10 for logic, required minimal time and other resources, and was the best solution that took into account the defined criteria.

Overall, we have learned that defining the problem, exploring different solutions, evaluating them based on certain criteria, identifying applicable solutions, and presenting the best solution is a comprehensive method to solve the Water Jug Problem. We hope this article has been helpful in your own problem-solving efforts.

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