Description

Every fraction can be converted to a repeatin decimal. For example 1/2 = .5, 1/3 = .(3) and 1/6 = .1(6). Given an integer n, Tom wants to know how many digit k occurs totally in the repeating decimal presentation of 1/2, 1/3 ... 1/n.

Input

The input consists of several test cases. Each test case is a line containing two integers n (2 ≤ n ≤ 100) and k (0 ≤ k ≤ 9).

Output

Output the total occurrence of the digit.

3 5
7 3
7 0

1
1
0

Source

, Lei Tao