Sqrt Inequality

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.

Examples

Input

2 3 9

Output

No

Input

2 3 10

Output

Yes

inputFormat

input are integers.

Input

Input is given from Standard Input in the following format:

a \ b \ c

outputFormat

Output

If \sqrt{a} + \sqrt{b} < \sqrt{c}, print Yes; otherwise, print No.

Examples

Input

2 3 9

Output

No

Input

2 3 10

Output

Yes

样例

2 3 10

Yes