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:
def gcd(a, b):
    if a == 0:
        return b
    return gcd(b % a, a)


t = int(input())
for _ in range(t):
    a, b, q = [int(i) for i in input().split()]
    if a == b:
        for s1 in range(q):
            l, r = [int(i) for i in input().split()]
            print(0, end=" ")
    else:
        for s1 in range(q):
            l, r = [int(i) for i in input().split()]
            rem = max(a, b)
            den = (a * b) // gcd(a, b)
            start = l // den
            end = r // den
            tot = (end - start) * rem
            tot += 1
            # print(tot)
            end_val = end * den
            end_diff = (r - end_val)
            tot += min(rem - 1, end_diff)
            # print(tot)
            start_val = start * den
            start_diff = (l - start_val)
            tot -= min(rem, start_diff)
            print((r - l + 1) - tot, end=" ")
    print()
### 2 5
# 1 2 3 4 10 11 12 13 14