翻译

给定一个整型数组,除了某个元素外其余元素均出现两次。

找出这个仅仅出现一次的元素。

备注:
你的算法应该是一个线性时间复杂度。 你能够不用额外空间来实现它吗?

原文

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?

分析

请參照上一题:LeetCode 260 Single Number III(仅仅出现一次的数字3)(*)

另一道与之相应的题:LeetCode 137 Single Number II(仅仅出现一次的数字 II)(*)

代码

class Solution {
public:
unsigned int FindFirstBigIs1(int num) {
int indexBit = 0;
while (((num & 1) == 0) && (indexBit < 8 * sizeof(int))) {
num = num >> 1;
++indexBit;
}
return indexBit;
} int singleNumber(vector<int>& nums) {
if (nums.size() <= 0) return NULL; int resultExclusiveOR = 0;
for (int i = 0; i < nums.size(); ++i)
resultExclusiveOR ^= nums[i]; unsigned int indexOf1 = FindFirstBigIs1(resultExclusiveOR); int singleNum = 0;
for (int j = 0; j < nums.size(); ++j) {
singleNum ^= nums[j];
}
return singleNum;
}
};

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