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 "algorithm"
#include "cmath"
#include "iomanip"
#include "iostream"
#include "string"
#include "vector"
#define rep(i, to) for (ll i = 0; i < (to); ++i)
#define rep1(i, to) for (ll i = 1; i <= (to); ++i)
#define all(vec) vec.begin(), vec.end()
using namespace std;
typedef long long ll;
template <typename T>
using V = vector<T>;

template <typename T>
inline bool chmax(T& a, T b) {
  if (a < b) {
    a = b;
    return 1;
  }
  return 0;
}

template <typename T>
inline bool chmin(T& a, T b) {
  if (a > b) {
    a = b;
    return 1;
  }
  return 0;
}

template <typename T>
void drop(const T& x) {
  cout << x << endl;
  exit(0);
}

int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);

  double a, b, c;
  cin >> a >> b >> c;
  if (sqrt(a) + sqrt(b) < sqrt(c)) {
    cout << "Yes" << endl;
  } else {
    cout << "No" << endl;
  }

  return 0;
}