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 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<stdio.h>
#include<math.h>

int main(void){
  int a, b, c;
  double ra, rb, rc;
  double sa;
  
  scanf("%d %d %d", &a, &b, &c);
  
  ra = sqrt(a); rb = sqrt(b); rc = sqrt(c);
  sa = rc - (ra + rb);
  
  if(sa > 0)  printf("Yes\n");
  else  printf("No\n");
  
  return 0;
}