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[Leetcode 136, Medium] Single Number I

2013-11-07 02:03 197 查看
Problem:

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?

Analysis:

算法:逻辑运算的异或(^)是交换且可结合的,而且,是幂等的。所以,如果是有且只有一个单独出现的元素,那么把所有的元素进行异或操作,所得到的值就是所要的结果。

衍生问题:every element appears even times except
for one which appears odd times.

Solution:

C++:

(I)

int singleNumber(int A[], int n) {
        if(n == 0)
            return 0;

        int rval = A[0];
        for(int i = 1; i < n; ++i)
            rval ^= A[i];
        
        return rval;
    }



                                            
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