```
class Solution {
public:
bool checkSubarraySum(vector<int>& nums, int k) {
for (int i=0;i<nums.size()-1;i++){
if (nums[i]==0&&nums[i+1]==0) return true;
}
if (k==0)return false;
map<int, int> m;
m[0]=-1;
int sum = 0;
for (int i=0; i<nums.size();i++) {
sum+=nums[i];
sum%=k;
if (m.count(sum)) {
if (!( m[0]==-1 && i==0))
return true;
}
m[sum]=i;
}
return false;
}
};
```

- when there are two subsequent 0, whatever k is, we should return true, because 0*k=0;
- when k==0 and there are no two subsequent 0, return false;
- iterate through the array, sum+=nums[i], calculate the mod = sum%k, if the same mod has appeared before when i=j, then sum(nums(j...i])==n*k
- we put m[0]==-1 at the beginning, think nums = {1,1} and k = 2, sum(nums[0...1])%2=0, so this makes it apply the previous statement;
- we need to do the check "if (!( m[0]==-1 && i==0))", in case situations like nums={1} and k=1