1023 Have Fun with Numbers (20 分)
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
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
char a[30],b[30];
int numa[15],numb[15];
int main(){
scanf("%s",a+1);
int len=strlen(a+1);
int tmp=0;
int tot=0;
for(int i=len;i>0;i--){
int cnt=(a[i]-'0')*2+tmp;
b[++tot]=cnt%10+'0';
tmp=cnt/10;
}
if(tmp>0) b[++tot]=tmp+'0';
for(int i=1;i<=len;i++) numa[a[i]-'0']++;
for(int i=tot;i>0;i--) numb[b[i]-'0']++;
bool flag=true;
for(int i=0;i<=9;i++){
if(numa[i]!=numb[i]){
flag=false;
break;
}
}
if(flag) printf("Yes\n");
else printf("No\n");
for(int i=tot;i>0;i--) printf("%c",b[i]);
return 0;
}