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 int N = (int)4e3 + 3;
const int mx = (int)4e4 + 2;
map<int, long long> mp;
int main() {
  int a;
  cin >> a;
  string s;
  cin >> s;
  int n = s.length();
  vector<long long> pref(n + 1);
  for (int i = 0; i < n; i++) {
    pref[i + 1] = pref[i] + 1ll * (s[i] - '0');
  }
  long long ans = 0ll;
  for (int i = 1; i <= n; i++) {
    for (int j = 0; j < i; j++) {
      mp[pref[i] - pref[j]]++;
      if (pref[i] == pref[j] && a == 0) ans++;
    }
  }
  if (a == 0) {
    long long cal = n * (n + 1);
    ans = ans * cal - ans * ans;
  }
  for (int i = 1; i * i <= a; i++) {
    if (a % i == 0) {
      if (a / i == i)
        ans += 1ll * mp[i] * mp[i];
      else
        ans += 2ll * mp[a / i] * mp[i];
    }
  }
  cout << ans;
  return 0;
}
