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;
const long long N = 1e6 + 5;
long long a, n;
string s;
long long f[N];
int32_t main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  ;
  cin >> a >> s;
  n = s.size();
  for (long long i = 0; i < n; i++) {
    long long cur = 0;
    for (long long j = i; j < n; j++) {
      cur += (s[j] - '0');
      f[cur] += 1;
    }
  }
  long long ans = 0;
  for (long long i = 1; i <= 1e5; i++) {
    if (a % i != 0) continue;
    long long j = a / i;
    if (j >= 1e5) continue;
    ans += f[i] * f[j];
  }
  if (a == 0) {
    ans *= 2;
    ans += (f[0] * f[0]);
  }
  cout << ans;
  return 0;
}
