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.
题目含义:你正在和你的朋友们玩下面这个Nim游戏:桌子上有一堆石头,每次你从中去掉1-3个。谁消除掉最后一个石头即为赢家。你在取出石头的第一轮。 你们中的每一个人都有着聪明的头脑和绝佳的策略。写一个函数来确定对于给定的数字是否你可以赢得这场比赛。 例如,如果堆中有4个石头,那么你永远也无法赢得比赛:无论你移除了1、2或3个石头,最后一个石头都会被你的朋友所移除。
1 public boolean canWinNim(int n) { 2 return n%4==0?false:true; 3 }