Given an array of numbers nums
, in which exactly two elements appear only once and all the other elements appear exactly twice. Find the two elements that appear only once.
Example:
Input:[1,2,1,3,2,5]
Output:[3,5]
Note:
- The order of the result is not important. So in the above example,
[5, 3]
is also correct. - Your algorithm should run in linear runtime complexity. Could you implement it using only constant space complexity?
方法1:异或
1.异或所有元素
2.求得异或值最右边第一为1的位
3.用2的结果将所有元素划分为两个组,(要求的两个数就分别在这两个组中)
4.每个组分别异或
class Solution {
public:
vector<int> singleNumber(vector<int>& nums) {
vector<int> res(2,0);
if(nums.size()<2) return res;
int xorNum=0;
for(int a:nums) xorNum^=a;
xorNum=xorNum&(~(xorNum-1));//从右往左第一位不同的,以此将nums划分为两个组(主要是将两个单独的数分到两组中)
for(int a:nums){
if((a & xorNum)!=0) res[0]^=a;
else res[1]^=a;
}
return res;
}
};
方法2:利用set(非常量个空间)
class Solution {
public:
vector<int> singleNumber(vector<int>& nums) {
set<int> inp;
vector<int> res;
for(int a:nums){
if(!inp.count(a)){
inp.insert(a);
}else{
inp.erase(a);
}
}
for(int a:inp){
res.push_back(a);
}
return res;
}
};