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 file 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 <stdio.h>
#include <string.h>
void DoubleNum(char s1[],int n,char s2[]);
int Check(char s1[],char s2[]);
int main(){
char s1[25],s2[25];
scanf("%s",s1);
DoubleNum(s1,strlen(s1),s2);
if(Check(s1,s2))
printf("Yes\n%s",s2);
else printf("No\n%s",s2);
}
void DoubleNum(char s1[],int n,char s2[]){
int i,add=0;
for(i=n-1;i>=0;i--){
s2[i]=((s1[i]-'0')*2+add)%10+'0';
add=((s1[i]-'0')*2+add)/10;
}
if(add){
for(i=n;i>0;i--)
s2[i]=s2[i-1];
s2[0]=add+'0';
s2[n+1]='\0';
}
else s2[n]='\0';
}
int Check(char s1[],char s2[]){
int c[10]={0},i;
if(strlen(s1)!=strlen(s2))r
eturn 0;
for(i=0;i<strlen(s1);i++)
c[s1[i]-'0']++;
for(i=0;i<strlen(s2);i++)
c[s2[i]-'0']--;
for(i=0;i<10;i++)
if(c[i]!=0)return 0;
return 1;
}