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
#include <bits/stdc++.h>
using namespace std;
char s[4005];
map<long long, long long> mp;
int main() {
  int a;
  scanf("%d", &a);
  scanf("%s", s + 1);
  int len = strlen(s + 1);
  for (int i = 1; i <= len; i++) {
    long long tmp = 0;
    for (int j = i; j <= len; j++) {
      tmp += s[j] - '0';
      mp[tmp]++;
    }
  }
  if (a == 0) {
    printf("%lld\n", mp[0] * (len * (len + 1) - mp[0]));
    return 0;
  }
  long long ans = 0;
  for (int i = 1; i * i <= a; i++) {
    if (a % i == 0) {
      int val = 1;
      if (i * i != a) val++;
      ans += mp[i] * mp[a / i] * val;
    }
  }
  cout << ans << endl;
  return 0;
}
