Problem: You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i ≤ x ≤ r_i, and ((x mod a) mod b) ≠ ((x mod b) mod a). Calculate the answer for each query.

Recall that y mod z is the remainder of the division of y by z. For example, 5 mod 3 = 2, 7 mod 8 = 7, 9 mod 4 = 1, 9 mod 9 = 0.

Input

The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Then the test cases follow.

The first line of each test case contains three integers a, b and q (1 ≤ a, b ≤ 200; 1 ≤ q ≤ 500).

Then q lines follow, each containing two integers l_i and r_i (1 ≤ l_i ≤ r_i ≤ 10^{18}) for the corresponding query.

Output

For each test case, print q integers — the answers to the queries of this test case in the order they appear.

Example

Input


2
4 6 5
1 1
1 3
1 5
1 7
1 9
7 10 2
7 8
100 200


Output


0 0 0 2 4 
0 91 

Solution (in PYTHON3):

Solution:
for _ in range(int(input())):
  a, b, q = map(int, input().split())
  prefix_sum = [0]
  length = a * b
  summary = 0
  
  for x in range(1, length + 1):
    if ((x % a) % b) != ((x % b) % a):
      summary += 1
      prefix_sum.append(summary)
    else:
      prefix_sum.append(summary)
  
  for i in range(q):
    l, r = map(int, input().split())
    right = summary * (r // length) + prefix_sum[r % length]
    left = summary * ((l - 1) // length) + prefix_sum[(l - 1) % length]
    print(right - left, end=' ')
  print()