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;
long long c[500000];
int main() {
  int a;
  string s;
  cin >> a >> s;
  long long ans = 0;
  memset(c, 0, sizeof c);
  for (int i = 0; i < s.length(); i++) {
    int k = 0;
    for (int j = i; j < s.length(); j++) {
      k += (s[j] - '0');
      c[k]++;
    }
  }
  if (a)
    for (int i = 1; i < 500000; i++) {
      if ((a % i) == 0) {
        if ((a / i) >= 500000) continue;
        ans += (c[i] * c[a / i]);
      }
    }
  else {
    long long k = 0;
    for (int i = 1; i < 500000; i++) k += c[i];
    ans += (k * c[0]) * 2ll;
    ans += (c[0] * c[0]);
  }
  cout << ans << endl;
  return 0;
}
