1.
Introduction
2.
Puzzle Description
3.
Solution
4.
4.1.
What is a puzzle interview?
4.2.
How do you answer a puzzle in an interview?
4.3.
Why do we do puzzles in interviews?
5.
Conclusion
Last Updated: Mar 27, 2024

# Quarters on a Table

Tashmit
0 upvote
Master Python: Predicting weather forecasts
Speaker
Ashwin Goyal
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## Introduction

A puzzle is a magnificent measure of one's analytical skills and lateral thinking. Many product-based companies ask the riddles to help them filter candidates based on their real-world problem-solving skills to approach a problem they have not seen before.

A puzzle may have multiple solutions. The interviewer is generally interested in the candidate's approach to solving the mystery and the approach to building and thinking creatively about the answer to the puzzle.

On the same note, we will discuss an exciting puzzle commonly asked in interviews; Quarters on a table

## Puzzle Description

Assume the game is played among two players on a circular table of unknown diameter. Each player is provided with an infinite number of Quarters. They can take turns placing the coin on the table such that there are Quarters all over the table. If any player on their turn can not make a legal move, the other player wins. A legal move is when the coin can be placed on the table perfectly in a sufficient place with no overlapping among the other coins. Which player is guaranteed to win?

Assume that the table's diameter is greater than the coin's diameter.

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## Solution

Player 1 will have a guaranteed win.

Player 1's strategy will be to put the first coin at the center of the table. Then, Player 2 puts the coin anywhere on the table. Next, Player 1 will put his coin diametrically opposite to the coin placed by Player 2. The game will continue until the table is filled. Every position has a diametrically opposite direction on the table except for the center. Since Player 1 always has a spot diametrically opposite to Player 2's coin, Player 1 will win.

Check out this problem - 8 Queens Problem

### What is a puzzle interview?

Puzzle interviewers ask applicants to solve puzzles to check their analytical thinking skills.

### How do you answer a puzzle in an interview?

First of all, think about the problem and carefully understand the question interviewer is trying to ask. Ask for any clarifications, if there are any. Lastly, don't just tell the answer, but clearly explain the solution.

### Why do we do puzzles in interviews?

Puzzles are generally asked to see how you go about solving tricky problems.

## Conclusion

This article extensively discussed Quarters on a table puzzle and provided its solution. We hope that this blog has helped you enhance your knowledge regarding Quarters on a table puzzle.