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#292
Easy Algorithms

Nim game

Math Brainteaser Game Theory
59.3% acceptance
Jan 12, 2026
1995
2750
You are playing the following Nim Game with your friend: Initially, there is a heap of stones on the table. You and your friend will alternate taking turns, and you go first. On each turn, the person whose turn it is will remove 1 to 3 stones from the heap. The one who removes the last stone is the winner. Given n, the number of stones in the heap, return true if you can win the game assuming both you and your friend play optimally, otherwise return false.

Solution

Rust
Time O(1)
Space O(1)
LeetCode
solution.rs
impl Solution {
  pub fn can_win_nim(n: i32) -> bool {
    n % 4 != 0
  }
}