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;
template <class T>
T cdiv(T num, T den) {
  return (num / den) + (num % den > 0);
}
template <typename TH>
void _dbg(const char* sdbg, TH h) {
  cerr << sdbg << "=" << h << "\n";
}
template <typename TH, typename... TA>
void _dbg(const char* sdbg, TH h, TA... t) {
  while (*sdbg != ',') cerr << *sdbg++;
  cerr << "=" << h << ",";
  _dbg(sdbg + 1, t...);
}
template <class t>
t mag(t a) {
  return a > 0 ? a : -a;
}
int tc = 1;
long long pre[1000001], a, n;
string s;
int escape() {
  cin >> a >> s;
  n = s.size();
  for (__typeof(n) i = (0) - ((0) > (n)); i != (n) - ((0) > (n));
       i += 1 - 2 * ((0) > (n))) {
    long long x = 0;
    for (__typeof(n) j = (i) - ((i) > (n)); j != (n) - ((i) > (n));
         j += 1 - 2 * ((i) > (n))) {
      x += s[j] - '0';
      pre[x]++;
    }
  }
  long long ans = 0;
  for (__typeof(1000001) i = (1) - ((1) > (1000001));
       i != (1000001) - ((1) > (1000001)); i += 1 - 2 * ((1) > (1000001))) {
    if (a / i >= 1000001) continue;
    ans += pre[i] * (pre[a / i]) * (a % i == 0);
  }
  if (a == 0) {
    ans += pre[0] * (n + n * (n - 1) / 2);
  }
  cout << ans;
  return 0;
}
int main() {
  cout.precision(std::numeric_limits<double>::max_digits10);
  ios_base::sync_with_stdio(false);
  while (tc--) {
    escape();
  }
}
