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 kk 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
cpp
#include <iostream>
#include <bits/stdc++.h>
#include <cstring>
#include <iomanip>
using namespace std;
int main(){
string s;cin>>s;
string ans;
int l=s.size();
int q=0,k=0;
for(int i=l-1;i>=0;--i){
k=s[i]-'0';
k=k*2+q;
q=k/10;
k=k%10;
ans+=to_string(k);
}
if(q)ans+=to_string(q);
reverse(ans.begin(),ans.end());
int flag=1;
if(ans.size()!=s.size()){
flag=0;
}
else{
for(int i=0;i<ans.size();++i){
if(s.find(ans[i])==string::npos){
flag=0;break;
}
}
}
if(flag){
cout<<"Yes"<<endl;
cout<<ans<<endl;
}
else{
cout<<"No"<<endl;
cout<<ans<<endl;
}
return 0;
}