Have Fun with Numbers (20)

时间限制 1000 ms 内存限制 655360 KB 代码长度限制 100 KB 判断程序 Standard (来自 小小)

题目描述

Notice that the number 123456789 is a 9-digit number consisting exactly the numbers from 1 to 9, with no duplication.  Double it we will obtain 246913578, which happens to be another 9-digit number consisting exactly the numbers from 1 to 9, only in a different permutation.  Check to see the result if we double it again!
Now you are suppose to check if there are more numbers with this property. That is, double a given number with k digits, you are to tell if the resulting number consists of only a permutation of the digits in the original number.

输入描述:

Each input file contains one test case.  Each case contains one positive integer with no more than 20 digits.


输出描述:

For each test case, first print in a line "Yes" if doubling the input number gives a number that consists of only a permutation of the digits in the original number, or "No" if not.  Then in the next line, print the doubled number.

输入例子:

1234567899

输出例子:

Yes
2469135798