Given three Integers A, B, and N. Find how many integers between A and B (inclusive) are divisible by N. 0 <= A <= B <= 10^18, 1 <= N <= 10^18.

Input

First line contains T the number of test cases. Each of next T lines contains 3 integer A, B, N.

Output

For each test case print the answer in a new line.

Example

Input:
2
1 4 3
10 20 6

Output:
1
2