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;
int main() {
  int a;
  cin >> a;
  string s;
  cin >> s;
  long long n = s.size();
  vector<long long> ps(n, 0);
  for (int i = 0; i < n; i++) {
    ps[i] = s[i] - '0';
  }
  for (int i = 1; i < n; i++) ps[i] += ps[i - 1];
  map<long long, long long> freq;
  for (int i = 0; i < n; i++)
    for (int j = i; j < n; j++) {
      long long val = ps[j] - (i >= 1 ? ps[i - 1] : 0);
      freq[val]++;
    }
  long long ans = 0;
  for (auto& [k, v] : freq) {
    if (k == 0) {
      if (a == 0) {
        ans = freq[0] * (n * (n + 1)) - freq[0] * freq[0];
        break;
      }
      continue;
    }
    if (a % k == 0) {
      long long rem = a / k;
      if (freq.find(rem) != freq.end()) {
        ans += freq[k] * freq[rem];
      }
    }
  }
  cout << ans << endl;
}
