EASYMATH - EASY MATH

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You will be given 4 numbers

n m a d

find count of numbers between n & 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

Example

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

Output:

5
54
543
NOTE - 1<=n<=m<= 2^32
	1<=a<= 2^32
	1<=d<=2^32
	2<=t<=100
ALSO TRY THR CHALLENGE VERSION --- /http://www.spoj.com/problems/EASYMATC/

hide comments
Ikhaduri: 2012-04-24 06:30:12

What's "a" for???

mehmetin: 2012-04-24 06:30:12

I think there is an error in the problem statement. Input "a" is not used and result for first test case seems to be wrong.

Last edit: 2012-04-17 10:51:00

Added by:Devil D
Date:2012-04-17
Time limit:0.100s-1s
Source limit:20000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Own