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: Wrong Answer)

#include <fstream>
#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <queue>
#include <set>
#include <cmath>
#include <climits>
#include <cfloat>

#define rep(i,n) for (int i = 0; i < (n); ++i)
#define sz(x) int(x.size())

using namespace std;
typedef long long ll;

int main() {
#ifdef RUN_LOCAL
  ifstream in("../input.txt");
  cin.rdbuf(in.rdbuf());
#endif

  cin.tie(0);
  ios::sync_with_stdio(false);

  ll a, b, c;
  cin >> a >> b >> c;
  ll right = (c - (a + b)) * (c - (a + b));
  ll left = 4 * a * b;
  if (right - left > 0) {
    cout << "Yes" << endl;
  }
  else {
    cout << "No" << endl;
  }
  return 0;
}