GCD & LCM

Time Limit: 1 Second    Memory Limit: 32768 KB

Given x and y (2 <= x <= 100,000, 2 <= y <= 1,000,000), you are to count the number of p and q such that:

1) p and q are positive integers;

2) GCD(p, q) = x;

3) LCM(p, q) = y.

Input

x and y, one line for each test.

Output

Number of pairs of p and q.

Sample Input

3 60

Sample Output

4

Submit

Source: ZOJ Monthly, April 2003