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:

1234567899

Sample Output:

Yes
2469135798
大数运算, 用字符实现加减
 #include <iostream>
#include <algorithm>
#include <string>
using namespace std;
//会溢出,不能使用简单的加减
int main()
{
string a, b = "", res;
cin >> a;
int k = ;
for (int i = a.length() - ; i >= ; --i)
{
k = k + (a[i] - '') + (a[i] - '');
b += k % + '';
k /= ;
}
if (k > )
b += k + '';
res.assign(b.rbegin(), b.rend());
sort(a.begin(), a.end());
sort(b.begin(), b.end());
if (a == b)
cout << "Yes" << endl;
else
cout << "No" << endl;
for (auto c : res)
cout << c;
cout << endl;
return ;
}
												

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