How ChatGPT Solves a Math Puzzle?
Tags: chatgpt, ai, blog, math
Published: 2023-02-26 22:34:28

ChatGPT has been a hot topics these days. It can be creative in some ways by writing a poem. It can be a code assistant by providing code snippets and solutions. It can be a Wiki by answering questions. How is it performing when it comes to math or logics questions?

I have asked ChatGPT this following <a href="https://helloacm.com/teaching-kids-programming-tower-of-hanoi-via-recursion-math-induction-proof-of-minimal-number-of-moves/" title="Teaching Kids Programming – Tower of Hanoi via Recursion (Math Induction Proof of Minimal Number of Moves)">math question</a> which involves a little bit logics (and common sense):

A well is 10 meters deep. A frog is at the bottom of the well. It climbs up 3 meters during the day and falls down 2 meters at night. How long does it take for the <a href="https://helloacm.com/linux-commands-cowsay-and-cowthink/" title="Linux Commands: Cowsay and Cowthink">frog</a> to climb out?
The frog climbs up 3 meters during the day and falls down 2 meters at night, so every day it gains a net height of 1 meter (3 meters up minus 2 meters down).

The answer is the frog will climb out on the 8th day - because for the first 7 days, it climbs 7 meters, and on the eighth days, it will be able to climb out of the well.

[caption id="attachment_152335" align="alignnone" width="862"]<a href="https://helloacm.com/wp-content/uploads/2023/02/chatgpt-answer-frog-problem.jpg"><img src="https://helloacm.com/wp-content/uploads/2023/02/chatgpt-answer-frog-problem.jpg" alt="A well is 10 meters deep. A frog is at the bottom of the well. It climbs up 3 meters during the day and falls down 2 meters at night. How long does it take for the frog to climb out?" width="862" height="758" class="size-full wp-image-152335" /></a> A well is 10 meters deep. A frog is at the bottom of the well. It climbs up 3 meters during the day and falls down 2 meters at night. How long does it take for the frog to climb out?[/caption]

Here is the first answer by the <a href="https://helloacm.com/how-chatgpt-impacts-ugc-user-generate-content/" title="How ChatGPT Impacts UGC (User Generate Content)?">ChatGPT</a> / OpenAI:

<blockquote>
To climb out of the well, the frog needs to reach a height of 10 meters. Since it gains 1 meter of height every day, it will need to climb for 10 days to reach a height of 10 meters.

Therefore, it will take the frog 10 days to climb out of the well.
</blockquote>

Then I replied: No, it is not correct, can you think again?

<blockquote>
I apologize for the mistake in my previous answer. The correct approach is to use a slightly different method to arrive at the answer.

Each day, the frog climbs 3 meters and then slips down 2 meters, for a net gain of 1 meter per day. Therefore, the frog will need to climb a total of 10 meters - 3 meters = 7 meters to reach the top of the well.

To climb 7 meters at a rate of 1 meter per day, it will take the frog 7 days.

Therefore, it will take the frog 7 days to climb out of the well.
</blockquote>

To my suprise, with the hint, the second time ChatGPT gives the 90% correct answer - it is not 7 days, but 7 and half days. 

ChatGPT is based on <a href="https://helloacm.com/teaching-kids-programming-introduction-to-knn-machine-learning-algorithm/" title="Teaching Kids Programming – Introduction to KNN Machine Learning Algorithm (KNN In Python)">Machine Learning</a> Algorithms on Big Data. To be specific, it is a prompt engineering product, which uses massive neural networks. In short, it is based on Pattern matching. If the training dataset contains wrong, or biased data, the model may give incorrect answers.

Overall, ChatGPT still has a long way to go in order to be able to solve complex math or logic puzzles!

<h3>ChatGPT: A Prompt Engineering Product</h3>
Prompt engineering refers to the process of creating and designing effective prompts for natural language processing (NLP) models. A prompt is a specific input given to an NLP model to generate a desired output. The quality of the prompt plays a critical role in determining the accuracy and relevance of the model's output.

Prompt engineering involves selecting the right keywords and phrases, setting the context and tone, and creating clear and concise instructions for the model. This requires an understanding of the target audience, the type of input data, and the desired output format. The prompts can be created manually or generated automatically using techniques such as reinforcement learning or human-in-the-loop methods.

Effective prompt engineering can lead to improved model performance, reduced bias, and increased interpretability. It can also help to ensure that the model generates output that is relevant and meaningful for specific use cases. As NLP continues to advance and play an increasingly important role in various industries, prompt engineering will continue to be a critical aspect of model <a href="https://helloacm.com/significance-of-html-and-css-in-mobile-app-development/" title="Significance of HTML and CSS in Mobile App Development">development</a> and deployment.

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