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.*;

public class C implements Runnable {

	private void solve() throws IOException {
		int a = nextInt();
		String s = nextToken();
		int n = s.length();
		int[] sum = new int[n];
		for (int i = 0; i < n; i++) {
			if (i > 0) sum[i] += sum[i - 1];
			sum[i] += s.charAt(i) - '0';
		}
		int[] cnt = new int[50000];
		for (int i = 0; i < n; i++)
			for (int j = i; j < n; j++) {
				int cur = sum[j];
				if (i > 0) cur -= sum[i - 1];
				cnt[cur]++;
			}
		long ans = 0;
		for (int i = 0; i < n; i++)
			for (int j = i; j < n; j++) {
				int cur = sum[j];
				if (i > 0) cur -= sum[i - 1];
				if (cur == 0) {
					if (a == 0) ans += n * (n + 1) / 2;
				} else if (a % cur == 0) {
					int b = a / cur;
					if (b < 50000) ans += cnt[b];
				}
			}
		print(ans);
	}

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

	BufferedReader reader;
	StringTokenizer tokenizer;
	PrintWriter writer;

	public void run() {
		try {
			reader = new BufferedReader(new InputStreamReader(System.in));
			writer = new PrintWriter(System.out);
			solve();
			writer.close();
		} catch (Exception e) {
			e.printStackTrace();
			System.exit(261);
		}
	}

	void halt() {
		writer.close();
		System.exit(0);
	}

	void print(Object... objects) {
		for (int i = 0; i < objects.length; i++) {
			if (i != 0)
				writer.print(' ');
			writer.print(objects[i]);
		}
	}

	void println(Object... objects) {
		print(objects);
		writer.println();
	}

	String nextLine() throws IOException {
		return reader.readLine();
	}

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

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

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

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