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
print(function(a, s) {
	var i, l = s.length,
		p = new Int32Array(l),
		sum = 0;

	for (i = 0; i < l; i++)
		p[i] = (sum += s[i]);

	p[-1] = 0;


	var q = new Int32Array(1e6);

	for (i = -1; i < l; i++)
		for (j = i + 1; j < l; j++)
			q[p[j] - p[i]]++;

	var ans = 0;
	if (a === 0) {
		ans += q[0] * q[0];
		for (i = 1; i < 1e6; i++) {
			if (q[i] > 0)
				ans += q[i] * q[0] * 2;
		}
		return ans;
	}

	for (i = 0; i < 1e6; i++)
		if (q[i] > 0 && a % i === 0 && a / i < 1e6)
			ans += q[i] * q[a / i];

	return ans;

}(+readline(), readline().split('').map(Number)));