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.util.Scanner;
import java.util.HashMap;

public class Main{
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		int a = sc.nextInt();
		sc.nextLine();
		String s = sc.nextLine();
		int l = s.length();
		int[] arr = new int[l];
		for(int i = 0; i < l; ++i){
			arr[i]=(int)(s.charAt(i)-'0');
		}
        int[] sum = new int[l];
        HashMap<Integer, Integer> sums = new HashMap<Integer, Integer>();
        sum[0]=arr[0];
        for(int i = 1; i < l; ++i){
            sum[i]=sum[i-1]+arr[i];
        }
        for(int i = 0; i < l; ++i){
            for(int j = 0; j <= i; ++j){
                int partial_sum = sum[i]-(j>0?sum[j-1]:0);        
                int curr_amount = 0;
                if(sums.containsKey(partial_sum)){
                    curr_amount = sums.get(partial_sum);
                }
                sums.put(partial_sum, curr_amount+1);
            }
        }

        long amount = 0;
        for(int i = 0; i < l; ++i){
            for(int j = 0; j <= i; ++j){
                int partial_sum = sum[i]-(j>0?sum[j-1]:0);
                //System.out.println("partial sum: "+partial_sum);
                if(partial_sum == 0){
                    if(a == 0){
                        amount += (l+1)*l/2;
                    //    System.out.println("+ "+l);
                    }else{
                        continue;
                    }
                }else{
                    if(a%partial_sum == 0){
                        if(sums.containsKey(a/partial_sum)){
                            amount += sums.get(a/partial_sum);
                  //          System.out.println("+ "+sums.get(a/partial_sum));
                        }
                    }
                }
            }
        }
        System.out.println(amount);
	}
}
