You will be given 4 numbers: n m a d.

find count of numbers between n and m (inclusive) not divisible by (a) or (a+d) or (a+2d) or (a+3d) or (a+4d).

Input

first line has number t - number of test cases.

each test case has 4 numbers n m a d.

Output

Single line having single number giving the count.

Constraints

1 <= n <= m <= 2^32

1 <= a <= 2^32

1 <= d <= 2^32

2 <= t <= 100

Example

Input:
3
1 10 2 2
20 100 3 3
100 1000 4 5

Output:
5
54
543