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.util.HashMap;
import java.util.Map;
import java.util.StringTokenizer;

public class Matrix implements Closeable {

    private InputReader in = new InputReader(System.in);
    private PrintWriter out = new PrintWriter(System.out);

    public void solve() {
        int a = in.ni();
        char[] s = in.next().toCharArray();
        int n = s.length;
        int[] prefix = new int[n + 1];
        for (int i = 0; i < n; i++) {
            prefix[i + 1] = prefix[i] + (s[i] - '0');
        }
        Map<Integer, Integer> map = new HashMap<>();
        for (int i = 0; i < n; i++) {
            for (int j = i; j < n; j++) {
                int sum = prefix[j + 1] - prefix[i];
                map.put(sum, map.getOrDefault(sum, 0) + 1);
            }
        }
        long result = 0L;
        for (int i = 0; i < n; i++) {
            for (int j = i; j < n; j++) {
                int k = prefix[j + 1] - prefix[i];
                if (k == 0) {
                    if (a == 0) result += n * (n + 1) / 2;
                } else {
                    if (a % k == 0) {
                        result += map.getOrDefault(a / k, 0);
                    }
                }
            }
        }
        out.println(result);
    }

    @Override
    public void close() throws IOException {
        in.close();
        out.close();
    }

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

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            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 ni() {
            return Integer.parseInt(next());
        }

        public long nl() {
            return Long.parseLong(next());
        }

        public void close() throws IOException {
            reader.close();
        }
    }

    public static void main(String[] args) throws IOException {
        try (Matrix instance = new Matrix()) {
            instance.solve();
        }
    }
}
