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How to Solve Find the Losers of the Circular Game Problem
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Easy#2682
LeetCode ProblemFind the Losers of the Circular Game
There are n friends that are playing a game. The friends are sitting in a circle and are numbered from 1 to n in clockwise order. More formally, moving clockwise from the ith friend brings you to the (i+1)th friend for 1 <= i < n, and moving clockwise from the nth friend brings you to the 1st friend. The rules of the game are as follows: 1st friend receives the ball. In other words, on the ith turn, the friend holding the ball should pass it to the friend who is i * k steps away from them in the clockwise direction. The game is finished when some friend receives the ball for the second time. The losers of the game are friends who did not receive the ball in the entire game. Given the number of friends, n, and an integer k, return the array answer, which contains the losers of the game in the ascending order.
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Problem Breakdown
Understanding the Find the Losers of the Circular Game Problem
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Problem Statement
There are n friends that are playing a game. The friends are sitting in a circle and are numbered from 1 to n in clockwise order. More formally, moving clockwise from the ith friend brings you to the (i+1)th friend for 1 <= i < n, and moving clockwise from the nth friend brings you to the 1st friend. The rules of the game are as follows: 1st friend receives the ball. In other words, on the ith turn, the friend holding the ball should pass it to the friend who is i * k steps away from them in the clockwise direction. The game is finished when some friend receives the ball for the second time. The losers of the game are friends who did not receive the ball in the entire game. Given the number of friends, n, and an integer k, return the array answer, which contains the losers of the game in the ascending order.
EasyProblem #2682
LeetCodeFind the Losers of the Circular Game
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Examples
# Example 1
Input
n = 5, k = 2
Output
[4,5]
# Example 2
Input
n = 4, k = 4
Output
[2,3,4]
Constraints
1 <= k <= n <= 50
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Solve Find the Losers of the Circular Game — There are n friends that are playing a game. The friends are sitting in a circle...
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def solve(input):
# Optimal O(n) solution
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Time: O(n) | Space: O(n)
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PhantomCodeAI reads the problem from a screenshot or listens to it via audio, then generates a complete solution with a step-by-step approach and time/space complexity, so you can focus on explaining your reasoning rather than getting stuck on implementation.
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