#include <bits/stdc++.h>
using namespace std;

int main(){
    long long a,b,c;

    scanf("%lld %lld %lld",&a,&b,&c);
    printf("%s\n",(c>a+b)&&((c-a-b)*(c-a-b) > 4*a*b)?"Yes":"No");
    return 0;
}
### Prompt

Please create a solution in CPP to the following problem:

Does \sqrt{a} + \sqrt{b} < \sqrt{c} hold?

Constraints

* 1 \leq a, b, c \leq 10^9
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


a \ b \ c


Output

If \sqrt{a} + \sqrt{b} < \sqrt{c}, print `Yes`; otherwise, print `No`.

Examples

Input

2 3 9


Output

No


Input

2 3 10


Output

Yes

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;

int main(){
    long long a,b,c;

    scanf("%lld %lld %lld",&a,&b,&c);
    printf("%s\n",(c>a+b)&&((c-a-b)*(c-a-b) > 4*a*b)?"Yes":"No");
    return 0;
}
```