1023 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:

1234567899

Sample Output:

Yes
2469135798

C++：

#include <bits/stdc++.h>
using namespace std;
 
int main()
{
    string A;
    vector<int> a;
    cin>>A;
    for(int i=A.size()-1;i>=0;i--)
    {
        a.push_back(A[i]-'0');
    }
    vector<int> b;
    int t=0;
    for(int i=0;i<a.size();i++)
    {
        int s=a[i]+a[i]+t;
        b.push_back(s%10);
        t=s/10;
    }
    if(t)
    {
        b.push_back(t);
    }
    vector<int> c=b;
    sort(a.begin(),a.end());
    sort(b.begin(),b.end());
    if(a==b)
    {
        printf("Yes\n");
    }
    else
    {
        printf("No\n");
    }
    for(int i=c.size()-1;i>=0;i--)
    {
        printf("%d",c[i]);
    }
    return 0;
}