[C++]LeetCode: 66 Single Number

题目：

Given an array of integers, every element appears twice 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：

要求线性时间完成，并且不使用额外的存储空间。

**非常之巧妙**

使用异或来排除double值，剩下的就是single one. 异或具有可交换性，顺序可变。

比如给出数组{2,1,4,5,2,4,1} ，求异或，2^1^4^5^2^4^1 <=> (2^2)^(1^1)^(4^4)^(5) <=> (0)^(0)^(0)^5 = 5

AC Code:

class Solution {
public:
    int singleNumber(int A[], int n) {
        int ret;
        ret = A[0];

        for(int i = 1; i < n; i++)
        {
            ret ^= A[i];
        }

        return ret;
    }
};