You have a string of decimal digits s. Let's define bij = si·sj. Find in matrix b the number of such rectangles that the sum bij for all cells (i, j) that are the elements of the rectangle equals a in each rectangle.

A rectangle in a matrix is a group of four integers (x, y, z, t) (x ≤ y, z ≤ t). The elements of the rectangle are all cells (i, j) such that x ≤ i ≤ y, z ≤ j ≤ t.

Input

The first line contains integer a (0 ≤ a ≤ 109), the second line contains a string of decimal integers s (1 ≤ |s| ≤ 4000).

Output

Print a single integer — the answer to a problem.

Please, do not write the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.

Examples

Input

10
12345


Output

6


Input

16
439873893693495623498263984765


Output

40
import java.io.*;
import java.math.BigInteger;
import java.util.*;


public class A {

    void solve() throws IOException {
        int a=nextInt();
        String s=nextToken();
        int n=s.length();
        int[] sum=new int[n+1];
        for(int i=0;i<n;i++)
            sum[i+1]=sum[i]+s.charAt(i)-'0';
        int SUMS_SIZE=50000;
        long[] sums=new long[SUMS_SIZE];
        for(int i=0;i<=n;i++)
            for(int j=i+1;j<=n;j++)
                sums[sum[j]-sum[i]]++;
        long ans=0;
        if(a==0){
            for(int i=0;i<SUMS_SIZE;i++)
                ans+=sums[0]*sums[i]*2;
            ans-=sums[0]*sums[0];
        }else{
            for(int i=1;i<SUMS_SIZE;i++){
                if(a%i==0){
                    int q=a/i;
                    if(q<SUMS_SIZE)
                        ans+=sums[i]*sums[q];
                }
            }
        }
        out.println(ans);
    }

    public static void main(String[] args) throws IOException {
        new A().run();
    }

    void run() throws IOException {
        reader = new BufferedReader(new InputStreamReader(System.in));
        tokenizer = null;
        out = new PrintWriter(new OutputStreamWriter(System.out));
        solve();
        reader.close();
        out.flush();

    }

    BufferedReader reader;
    StringTokenizer tokenizer;
    PrintWriter out;

    int nextInt() throws IOException {
        return Integer.parseInt(nextToken());
    }

    long nextLong() throws IOException {
        return Long.parseLong(nextToken());
    }

    double nextDouble() throws IOException {
        return Double.parseDouble(nextToken());
    }

    String nextToken() throws IOException {
        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            tokenizer = new StringTokenizer(reader.readLine());
        }
        return tokenizer.nextToken();
    }
}
