Salmon And Cat

Time Limit: 2000/1000MS (Java/Others) Memory Limit: 128000/64000KB (Java/Others)

Problem Description

Math is very important, for those who are also in school, make sure you will learn more about math.

Salmon and Cat are good friends.Today Salmon ask Cat to help her judge whether a number is perfect or not. Perfect number is a kind of number defined by like this.

First, 1 and 3 are perfect number.Then if a and b are perfect numbers, 2+ab+2a+2b is also a perfect number.For example, 1 and 1 are perfect numbers,  so 2+1+2+2 = 7 is perfect number.

If Cat can't help Salmon,  Salmon will be sad and Cat will be much more sad. So Cat must solve the problem to maintain their friendship. Can you help Cat to solve the problem?

Input

This problem contains multiple test cases.

Each test case contains one line.

Each line contains an interger n, 1 ≤ n ≤ 109.

Output

For each test case, if n is a perfect number, output “Yes”, otherwise output “No”.

Sample Input

3
7
8

Sample Output

Yes
Yes
No

Hint

建议使用scanf printf

Source

yehuijie

Manager

Information
Solved Number406
Submit Number1284
Problem Tags
brute force
number theory
No tag edit access
温馨提示:AC后可以编辑标签哦. ^-^
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