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;
map<long long, long long> my;
int main() {
  int n, r1 = 0;
  cin >> n;
  string s;
  cin >> s;
  int l = s.length();
  for (int i = 0; i < l; i++) {
    for (int j = i; j < l; j++) {
      r1 += s[j] - '0';
      my[r1]++;
    }
    r1 = 0;
  }
  if (n == 0) {
    cout << 2 * (my[0] * (l * (l + 1) / 2)) - my[0] * my[0] << endl;
    return 0;
  }
  long long res = 0;
  for (map<long long, long long>::iterator it = my.begin(); it != my.end();
       it++) {
    if ((it->first) && n % (it->first) == 0)
      res += my[it->first] * my[n / (it->first)];
  }
  cout << res;
  return 0;
}
