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
from __future__ import division, print_function

import os
import sys
from io import BytesIO, IOBase


def main():
    a = int(input())
    digit = [ int(x) for x in input() ]
    n = len(digit)

    accumulated = [0] * n
    accumulated[0] = digit[0]
    for i in range(1, n):
        accumulated[i] = accumulated[i-1] + digit[i]

    intervalSums = {}

    for i in range(n):
        for j in range(i, n):
            value = accumulated[j] - (accumulated[i-1] if i > 0 else 0)
            if value in intervalSums:
                intervalSums[value] += 1
            else:
                intervalSums[value] = 1

    numOfRectangles = 0
    possibleSegments = (n**2 + n) // 2

    for intervalSum in intervalSums:
        if intervalSum == 0:
            if a == 0:
                numOfRectangles += possibleSegments * intervalSums[0]
            continue

        if a % intervalSum == 0:
            complement = a // intervalSum

            numOfRectangles += (
                intervalSums[intervalSum]
                * (intervalSums[complement] if complement in intervalSums else 0)
            )

    print(numOfRectangles)


BUFFSIZE = 8192

class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)

class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")

input = lambda: sys.stdin.readline().rstrip("\r\n")

def print(*args, **kwargs):
    sep = kwargs.pop("sep", " ")
    file = kwargs.pop("file", sys.stdout)

    atStart = True
    for x in args:
        if not atStart:
            file.write(sep)
        file.write(str(x))
        atStart = False
    file.write(kwargs.pop("end", "\n"))

    if kwargs.pop("flush", False):
        file.flush()

sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)

main()
