LeetCode | Single Number II【转】

题目:
Given an array of integers, every element appears three times except for one. Find that single one.

Note:
Your algorithm should have a linear runtime complexity. Could you implement it without using extra memory?


思路:
一个比较好的方法是从位运算来考虑。每一位是0或1,由于除了一个数其他数都出现三次,我们可以检测出每一位出现三次的位运算结果再加上最后一位即可。

class Solution {
public:
    int singleNumber(int A[], int n) {
        int ones = 0, twos = 0, threes = 0;
        for(int i = 0; i < n; i++)
        {
            threes = twos & A[i]; //已经出现两次并且再次出现
            twos = twos | ones & A[i]; //曾经出现两次的或者曾经出现一次但是再次出现的
            ones = ones | A[i]; //出现一次的
            
            twos = twos & ~threes; //当某一位出现三次后,我们就从出现两次中消除该位
            ones = ones & ~threes; //当某一位出现三次后,我们就从出现一次中消除该位
        }
        return ones; //twos, threes最终都为0.ones是只出现一次的数
    }
};

 

posted @ 2014-03-28 13:37  linyx  阅读(147)  评论(0编辑  收藏  举报