Given a positive integer

`n`

, you are asked to find out if it’s a power of 2. Input

The first line of the input contains a single integer

`n`

(2 ≤ n ≤ ). Output

The program should print

`Yes`

if `n`

is a power of 2 and `No`

otherwise. Examples

Input | Output |

8 | Yes |

17 | No |

2048 | Yes |