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;
string q;
int fb[36001];
int main() {
  int a;
  cin >> a >> q;
  for (int i = 0; i < q.size(); ++i) {
    int s = 0;
    for (int j = i; j < q.size(); ++j) {
      s += q[j] - '0';
      ++fb[s];
    }
  }
  long long res = 0;
  for (int i = 0; i < q.size(); ++i) {
    int s = 0;
    for (int j = i; j < q.size(); ++j) {
      s += q[j] - '0';
      if (a) {
        if (s) {
          if (a / s < 36001) res += (a % s == 0) * fb[a / s];
        }
      } else {
        if (!s)
          res += q.size() * (q.size() + 1) / 2;
        else
          res += fb[0];
      }
    }
  }
  cout << res;
  return 0;
}
