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;
map<long long, long long> mp;
long long ANS;
int main() {
  long long a;
  cin >> a;
  string s;
  cin >> s;
  long long N = s.size();
  long long c = 0;
  for (long long i = 0; i < N; i++) {
    c = 0;
    for (long long j = i; j < N; j++) {
      c += (s[j] - '0');
      mp[c]++;
    }
  }
  if (a > 0) {
    for (long long i = 1; i * i <= a; i++) {
      if (a % i == 0) {
        ANS += mp[i] * mp[a / i] * (i * i != a ? 2 : 1);
      }
    }
  } else {
    for (long long i = 1; i <= 9 * N; i++) {
      ANS += (mp[0] * mp[i] * 2);
    }
    ANS += mp[0] * mp[0];
  }
  cout << ANS << "\n";
  return 0;
}
