Problem:
Score : 300 points

Problem Statement

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.

Sample Input 1

2 3 9

Sample Output 1

No

\sqrt{2} + \sqrt{3} < \sqrt{9} does not hold.

Sample Input 2

2 3 10

Sample Output 2

Yes

\sqrt{2} + \sqrt{3} < \sqrt{10} holds.

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <map>
#include <set>
#include <vector>
#include <algorithm>
#include <math.h>
#include <cmath>
#include <deque>
#include <queue>
#include <iomanip>

using namespace std;
typedef long long ll;
typedef pair<int, int> P;

int main(){
    ll a, b, c;
    cin >> a >> b >> c;
    int ans = 1;
    if(c-a-b <= 0) ans = 0;
    else{
        if((c-a-b)*(c-a-b) <= 4*a*b) ans = 0;
    }
    if(ans == 0) cout << "No" << endl;
    else cout << "Yes" << endl;
}