Single Number

初阶。

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,使用异或,只要出现偶数次就可以清零。

class Solution{
public:
	static int singleNum(int A[],int n)
	{
		int x = 0;
		for(int i=0;i<n;i++)
		{
			x^=A[i];
		}
		return x;
	}
};


进阶。

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,考察位运算。

对于除出现一次之外的所有的整数,其二进制表示中每一位1出现的次数是3的整数倍,将所有这些1清零,剩下的就是最终的数。
用ones记录到当前计算的变量为止,二进制1出现“1次”(mod 3 之后的 1)的数位。用twos记录到当前计算的变量为止,二进制1出现“2次”(mod 3 之后的 2)的数位。当ones和twos中的某一位同时为1时表示二进制1出现3次,此时需要清零。即  用二进制模拟三进制计算 。最终ones记录的是最终结果。
时间复杂度: O(n)

你可能感兴趣的:(Single Number)