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?

解题思路:

这题比Single Number稍难些,不能用异或解决,但排序和bitmap还是可以的,只是时间复杂度和空间复杂度要多些

这里我用另一种方式实现,根据所给数组中元素的规律,可利用每一bit位上1的个数进行解决,直接看代码吧

实现代码:

#include <iostream>

using namespace std;
/*
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?
*/
class Solution {
public:
int singleNumber(int A[], int n) {
int once = ;
for(int i = ; i < ; i++)
{
int one_num = ;//bit为第i位1的个数
for(int j = ; j < n; j++)
if((A[j] >> i) & == )
one_num++;
//因为数组中只有一个数出现一次,其他数都出现三次,
//所以除非要找数的当前bit位为1,否则one_num为3的倍数
if(one_num % )
once += ( << i); }
return once; }
}; int main(void)
{
int arr[] = {,,,,,,,,,};
int len = sizeof(arr) / sizeof(arr[]);
Solution solution;
int once = solution.singleNumber(arr, len);
cout<<once<<endl;
return ;
}

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