#include<bits/stdc++.h>
using namespace std;
typedef long long int ll;
int main()
{
 ll a,b,c,k;
 cin>>a>>b>>c;
 k=c-a-b;
 if(k>0 && k*k>4*a*b)
 {
     cout<<"Yes"<<endl;
 }else{
     cout<<"No"<<endl;
 }
}

### Prompt

Your challenge is to write a cpp solution 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;
typedef long long int ll;
int main()
{
 ll a,b,c,k;
 cin>>a>>b>>c;
 k=c-a-b;
 if(k>0 && k*k>4*a*b)
 {
     cout<<"Yes"<<endl;
 }else{
     cout<<"No"<<endl;
 }
}

```