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.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.HashMap;
import java.util.HashSet;
import java.util.StringTokenizer;

public class Matrix2 {
    public static void main(String[] args) {
        InputReader r = new InputReader(System.in);
        int a = r.nextInt();
        char[] x = r.next().toCharArray();
        int[] arr = new int[x.length];
        for (int i = 0; i < arr.length; i++) {
            arr[i] = x[i] - '0';
        }
        HashMap<Long, Integer> set = new HashMap<Long, Integer>();
        long all = 0;
        for (int i = 0; i < arr.length; i++) {
            long temp = 0;
            for (int j = i; j < arr.length; j++) {
                temp += arr[j];
                all++;
                if (!set.containsKey(temp))
                    set.put(temp, 0);
                set.put(temp, set.get(temp) + 1);
            }
        }
        long res = 0;
        for (int i = 0; i < arr.length; i++) {
            long temp = 0;
            for (int j = i; j < arr.length; j++) {
                temp += arr[j];
                if (temp > 0 && a % temp == 0 && set.containsKey(a / temp)) {
                    res += set.get(a / temp);
                } else if (temp == 0 && a == 0) {
                    res += all;
                }
            }
        }
        System.out.println(res);
    }

    static class InputReader {
        private BufferedReader reader;
        private StringTokenizer tokenizer;

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

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

        public String nextLine() {
            try {
                return reader.readLine();
            } catch (IOException e) {
                // TODO Auto-generated catch block
                e.printStackTrace();
                return 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());
        }
    }
}
