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