Occurrence of Digits

Time Limit: 1000MS

Memory Limit: 65536K

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.

Sample Input

3 5
7 3
7 0

Sample Output

1
1
0

Hint

Source

POJ Monthly Contest – 2009.02.22, Lei Tao

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