Codeforces 221 B. Little Elephant and Numbers

B. Little Elephant and Numbers

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

The Little Elephant loves numbers.

He has a positive integer x. The Little Elephant wants to find the number of positive integers d, such that d is the divisor of x, and x andd have at least one common (the same) digit in their decimal representations.

Help the Little Elephant to find the described number.

Input

A single line contains a single integer x (1 ≤ x ≤ 109).

Output

In a single line print an integer — the answer to the problem.

Examples

input

1

output

1

input

10

output

2

题意：输出是x的因子且与x有相同数字的因子个数

#include<cstdio>
#include<cmath>
using namespace std;
int x,ans;
bool v[10];
int main()
{
    scanf("%d",&x);
    int n=sqrt(x),m=x;
    while(x) { v[x%10]=true; x/=10; } 
    int k,j,i;
    for(k=1;k<=n;k++)
     if(m%k==0)
     {
          j=m/k;i=k;
         while(i) 
         { 
             if(v[i%10]) 
             {
                 ans++; break;
             } 
            i/=10;
         }
         if(j==k) continue;
         while(j)
         {
             if(v[j%10])
             {
                 ans++; break;
             }
             j/=10;
         }
     }
    printf("%d",ans);
}