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>
const int N = 4096;
int a, n, v[N], h;
long long w, c[N * 10];
char s[N];
int main() {
  std::cin >> a >> s;
  for (; s[n]; ++n) v[n + 1] = v[n] + s[n] - '0';
  h = v[n];
  for (int i = 1; i <= n; ++i)
    for (int j = 0; j < i; ++j) ++c[v[i] - v[j]];
  if (a) {
    for (int i = 1; i <= h && i * i <= a; ++i)
      if (0 == a % i)
        if (a / i <= h) w += c[i] * c[a / i] * (i * i == a ? 1 : 2);
  } else
    w = c[0] * ((n + 1) * n - c[0]);
  std::cout << w << std::endl;
}
