Nim Game
You are playing the following Nim Game with your friend: There is a heap of stones on the table, each time one of you take turns to remove 1 to 3 stones. The one who removes the last stone will be the winner. You will take the first turn to remove the stones.
Both of you are very clever and have optimal strategies for the game. Write a function to determine whether you can win the game given the number of stones in the heap.
For example, if there are 4 stones in the heap, then you will never win the game: no matter 1, 2, or 3 stones you remove, the last stone will always be removed by your friend.
Hint:
- If there are 5 stones in the heap, could you figure out a way to remove the stones such that you will always be the winner?
1 public class Solution { 2 public boolean canWinNim(int n) { 3 if(n%4 == 0) 4 { 5 return false; 6 } 7 else 8 { 9 return true; 10 } 11 } 12 }
1 /************************************************************************* 2 > File Name: LeetCode292.c 3 > Author: Juntaran 4 > Mail: JuntaranMail@gmail.com 5 > Created Time: Tue 10 May 2016 07:30:06 PM CST 6 ************************************************************************/ 7 8 /************************************************************************* 9 10 Nim Game 11 12 You are playing the following Nim Game with your friend: 13 There is a heap of stones on the table, 14 each time one of you take turns to remove 1 to 3 stones. 15 The one who removes the last stone will be the winner. 16 You will take the first turn to remove the stones. 17 18 Both of you are very clever and have optimal strategies for the game. 19 Write a function to determine whether you can win the game 20 given the number of stones in the heap. 21 22 For example, if there are 4 stones in the heap, 23 then you will never win the game: 24 no matter 1, 2, or 3 stones you remove, 25 the last stone will always be removed by your friend. 26 27 Hint: 28 29 If there are 5 stones in the heap, 30 could you figure out a way to remove the stones 31 such that you will always be the winner? 32 33 ************************************************************************/ 34 35 #include <stdio.h> 36 37 int canWinNim( int n ) 38 { 39 int ret = 0; 40 if( n%4 != 0 ) 41 { 42 ret = 1; 43 } 44 return ret; 45 } 46 47 int main() 48 { 49 int n = 5; 50 int ret = canWinNim(n); 51 printf("%d ", ret); 52 return 0; 53 }