#include<bits/stdc++.h>
#define int long long
using namespace std;
constexpr int mod=1e9+7;
signed main(){
    int a,b,c;
    cin>>a>>b>>c;
    cout<<(c>=a+b&&4*a*b<(c-a-b)*(c-a-b)?"Yes":"No")<<endl;
}

### Prompt

Please provide a Cpp coded solution to the problem described below:

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>
#define int long long
using namespace std;
constexpr int mod=1e9+7;
signed main(){
    int a,b,c;
    cin>>a>>b>>c;
    cout<<(c>=a+b&&4*a*b<(c-a-b)*(c-a-b)?"Yes":"No")<<endl;
}

```