Package g1501_1600.s1510_stone_game_iv

Class Solution

java.lang.Object
g1501_1600.s1510_stone_game_iv.Solution
public class Solution extends java.lang.Object
1510 - Stone Game IV.

Hard

Alice and Bob take turns playing a game, with Alice starting first.

Initially, there are n stones in a pile. On each player’s turn, that player makes a move consisting of removing any non-zero square number of stones in the pile.

Also, if a player cannot make a move, he/she loses the game.

Given a positive integer n, return true if and only if Alice wins the game otherwise return false, assuming both players play optimally.

Example 1:

Input: n = 1

Output: true

Explanation: Alice can remove 1 stone winning the game because Bob doesn’t have any moves.

Example 2:

Input: n = 2

Output: false

Explanation: Alice can only remove 1 stone, after that Bob removes the last one winning the game (2 -> 1 -> 0).

Example 3:

Input: n = 4

Output: true

Explanation: n is already a perfect square, Alice can win with one move, removing 4 stones (4 -> 0).

Constraints:

  • 1 <= n <= 105

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    boolean
    winnerSquareGame(int n)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • winnerSquareGame

      public boolean winnerSquareGame(int n)