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.PrintWriter;
import java.util.StringTokenizer;

public class C {
	
	public static void main(String[] args) throws Exception
	{
		Scanner sc = new Scanner(System.in);
		PrintWriter out = new PrintWriter(System.out);
		int v = sc.nextInt();
		char[] s = sc.next().toCharArray();
		int n = s.length;
		int[] a = new int[n]; for(int i = 0; i < n; i++) a[i] = s[i] - '0';
		int[] preSum = new int[n]; preSum[0] = a[0];
		for(int i = 1; i < n; i++) preSum[i] = preSum[i-1] + a[i];
		int[] occ = new int[50000];
		int c = 0;
		for(int i = 0; i < n; i++)
		{
			for(int j = i; j < n; j++)
			{
				int sum = preSum[j];
				if(i > 0) sum -= preSum[i - 1];
				occ[sum]++;
				c++;
			}
		}
		long ans = 0;
		for(int i = 0; i < n; i++)
			for(int j = i; j < n; j++)
			{
				int sum = preSum[j];
				if(i > 0) sum -= preSum[i - 1];
				if(v == 0 && sum == 0) ans += c;
				else if(v == 0) ans += occ[0];
				else if(sum != 0 && v % sum == 0 && v / sum < 50000)
					ans += occ[v / sum];
			}
		out.println(ans);
		out.flush();
		out.close();
	}
	
	static class Scanner 
	{
		StringTokenizer st;
		BufferedReader br;

		public Scanner(InputStream system) {br = new BufferedReader(new InputStreamReader(system));}
		public String next() throws IOException 
		{
			while (st == null || !st.hasMoreTokens()) 
				st = new StringTokenizer(br.readLine());
			return st.nextToken();
		}
		public String nextLine()throws IOException{return br.readLine();}
		public int nextInt() throws IOException {return Integer.parseInt(next());}
		public double nextDouble() throws IOException {return Double.parseDouble(next());}
		public char nextChar()throws IOException{return next().charAt(0);}
		public Long nextLong()throws IOException{return Long.parseLong(next());}
		public boolean ready() throws IOException{return br.ready();}
		public void waitForInput(){for(long i = 0; i < 3e9; i++);}
	}
}