Fibonacci Number Verification

You are given a single integer (n). Your task is to determine whether (n) is a Fibonacci number. A number (n) is a Fibonacci number if and only if at least one of the following expressions is a perfect square:

[ 5n^2 + 4 ]

or

[ 5n^2 - 4 ]

If either expression is a perfect square, output the string Yes; otherwise, output No.

Note: In this problem, 0 is considered a Fibonacci number.

inputFormat

Input is read from standard input (stdin). The input consists of a single integer (n).

outputFormat

Output to standard output (stdout) a single line containing either Yes if (n) is a Fibonacci number, or No otherwise.## sample

5

Yes