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 <iostream>
#include <vector>
#include <array>
#include <deque>
#include <stack>
#include <queue>
#include <list>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <algorithm>
#include <numeric>
#include <utility>
#include <cmath>
#include <iomanip>
#include <cassert>
#include <complex>
#include <bitset>
#include <functional>

using namespace std;
using ll=long long int;

int main() {
    ll a, b, c;
    cin >> a >> b >> c;

    double sq = sqrt(a);
    double sb = sqrt(b);
    double sc = sqrt(c);

    if (sc - sq - sb > 1e-12) {
        cout << "Yes" << endl;
    } else {
        cout << "No" << endl;
    }

    return 0;
}