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 Main {
    
    
    static InputReader in;
    static PrintWriter out;
        
    public static void main(String[] args) throws IOException{
        //InputStream ins = new FileInputStream("E:\\rush.txt");
        InputStream ins = System.in;
        in = new InputReader(ins);
        out = new PrintWriter(System.out);
        //code start from here
        new Task().solve(in, out);
        out.close();
    }
    
    static int N = 4000;
    static class Task{
        int cnt[] = new int[N*10+100];
        int s[] = new int[N+10];
        String S;
        int a,n;
        
        public void solve(InputReader in,PrintWriter out) {
        	a = in.nextInt();
        	S = in.next();
        	for (int i = 0;i < (int)S.length();i++) {
        		s[i+1] = S.charAt(i)-'0';
        	}
        	n = S.length();
        	for (int i = 1;i <= n;i++) {
        		int temp = 0;
        		for (int j = i;j <= n;j++) {
        			temp = temp + s[j];
        			cnt[temp]++;
        		}
        	}
        	long ans = 0;
        	if (a==0) {
        		//a==0
        		//sum(x,y)*sum(z,t)==0
        		//sum(x,y)==0 sum(z,t)!=0
        		//or sum(x,y)!=0 sum(z,t)==0
        		for (int i = 1;i <=N*10;i++) {
        			ans = ans + 1l*2*cnt[0]*cnt[i];
        		}
        		
        		//sum(x,y)==0 sum(z,t)==0
        		ans = ans + 1l*cnt[0]*cnt[0];
        	}else {
        		for (int i = 1;i <= N*10;i++) {
        			if (a%i==0 && a/i<=(N*10)) {
        				ans = ans + 1l*cnt[i]*cnt[a/i];
        			}
        		}
        	}
        	out.println(ans);
        }
    }

    

    static class InputReader{
        public BufferedReader br;
        public StringTokenizer tokenizer;
        
        public InputReader(InputStream ins) {
            br = new BufferedReader(new InputStreamReader(ins));
            tokenizer = null;
        }
        
        public String next(){
            while (tokenizer==null || !tokenizer.hasMoreTokens()) {
                try {
                tokenizer = new StringTokenizer(br.readLine());
                }catch(IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }
        
        public int nextInt() {
            return Integer.parseInt(next());
        }
    }
}