Package g0201_0300.s0292_nim_game
Class Solution
- java.lang.Object
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- g0201_0300.s0292_nim_game.Solution
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public class Solution extends Object
292 - Nim Game.Easy
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, returntrue
if you can win the game assuming both you and your friend play optimally, otherwise returnfalse
.Example 1:
Input: n = 4
Output: false
Explanation:
These are the possible outcomes: 1. You remove 1 stone. Your friend removes 3 stones, including the last stone. Your friend wins. 2. You remove 2 stones. Your friend removes 2 stones, including the last stone. Your friend wins. 3. You remove 3 stones. Your friend removes the last stone. Your friend wins. In all outcomes, your friend wins.
Example 2:
Input: n = 1
Output: true
Example 3:
Input: n = 2
Output: true
Constraints:
1 <= n <= 231 - 1
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Constructor Summary
Constructors Constructor Description Solution()
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