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;
int a, i, j, k, x, y, m[36001];
long long ans, t;
string s;
int main() {
  cin >> a >> s;
  for (i = 0; i < s.size(); i++) {
    for (k = 0, j = i; j < s.size(); j++) {
      k += s[j] - '0';
      m[k]++;
    }
  }
  if (a == 0) {
    t = s.size() * (s.size() + 1) / 2;
    ans = t * t - (t - m[0]) * (t - m[0]);
  } else
    for (k = 1; k <= s.size() * 9; k++) {
      if (k > 0 && a % k == 0 && a / k <= s.size() * 9) {
        x = m[a / k];
        if (x > 0) ans += (long long)m[k] * x;
      }
    }
  cout << ans << endl;
  return 0;
}
