PROGRAMMING:Have Fun with Numbers
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.
### Input Specification:
Each input contains one test case. Each case contains one positive integer with no more than 20 digits.
### Output Specification:
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.
### Sample Input:
```in
one billion two hundred and thirty-four million five hundred and sixty-seven thousand eight hundred and ninety-nine
```
### Sample Output:
```out
Yes
two billion four hundred and sixty-nine million one hundred and thirty-five thousand seven hundred and ninety-eight
```
answer：If there is no answer, please comment
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.
### Input Specification:
Each input contains one test case. Each case contains one positive integer with no more than 20 digits.
### Output Specification:
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.
### Sample Input:
```in
one billion two hundred and thirty-four million five hundred and sixty-seven thousand eight hundred and ninety-nine
```
### Sample Output:
```out
Yes
two billion four hundred and sixty-nine million one hundred and thirty-five thousand seven hundred and ninety-eight
```
answer：If there is no answer, please comment