Square Inequality

Source: AtCoder

Problem Statement

Given integers $A,B,C$, determine whether $A^2+B^2<C^2$ holds.

Input

One line contains $A$, $B$, and $C$.

Output

Print Yes if the inequality holds; otherwise print No.

Subtasks

• Subtask 1 (100%): $0 \le A,B,C \le 1000$

Examples

Example 1

Input

2 2 4

Output

Yes

Explanation

For the sample values 2, 2, 4, evaluating the conditions in the statement gives Yes. Therefore the program prints the shown output.

Example 2

Input

10 10 10

Output

No

Explanation

For the sample values 10, 10, 10, evaluating the conditions in the statement gives No. Therefore the program prints the shown output.

Example 3

Input

3 4 5

Output

No

Explanation

For the sample values 3, 4, 5, evaluating the conditions in the statement gives No. Therefore the program prints the shown output.