A - Square Inequality

Score : $100$ points

Problem Statement

You are given integers $A$, $B$, and $C$.
Determine whether $A^2 + B^2 < C^2$ holds.

Constraints

• $0 \le A \le 1000$
• $0 \le B \le 1000$
• $0 \le C \le 1000$
• $A$, $B$, and $C$ are integers.

Input

Input is given from Standard Input in the following format:

$A$ $B$ $C$

Output

If $A^2 + B^2 < C^2$ holds, print Yes; otherwise, print No.

2 2 4

Yes

Since $A^2 + B^2 = 2^2 + 2^2 = 8$ and $C^2 = 4^2 = 16$, we have $A^2 + B^2 < C^2$, so we should print Yes.

10 10 10

No

Since $A^2 + B^2 = 200$ and $C^2 = 100$, $A^2 + B^2 < C^2$ does not hold.

3 4 5

No