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.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintStream;
import java.util.StringTokenizer;

public final class C364_A {

    static InputReader in = new InputReader(System.in);
    static PrintStream out = System.out;

    public static void main(String[] args) {
        int n = in.nextInt();
        String C = in.next();
        int m = C.length() * 9 + 1;
        long [] M = new long [m];
        int s = 0;
        for(int i = 0 ; i < C.length(); i++) {
            s = 0;
            for(int j = i; j< C.length(); j++) {
                s += (int)(C.charAt(j) - '0');
                M[s]++;
            }
        }
        long r = 0;
        for(int i = 1; i < m ; i++){
            //System.out.println(i + " " + M[i]);
            if (n % i == 0 && n/i < m)
                r += M[i] * M[n/i];
        }
        if(n == 0) r+=r + M[0]*M[0];
        System.out.println(r);
    }

}


class InputReader{
    public BufferedReader reader;
    public StringTokenizer tokenizer;

    public InputReader(InputStream stream) {
        reader = new BufferedReader(new InputStreamReader(stream));
        tokenizer = null;
    }

    public String next() {
        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                tokenizer = new StringTokenizer(reader.readLine());
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }

    public int nextInt() {
        return Integer.parseInt(next());
    }
    public long nextLong() {
        return Long.parseLong(next());
    }
    public double nextDouble() {
        return Double.parseDouble(next());
    }
}
/* public class C364_A {

}
 //delete */