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:
nt = int(input())
for _ in range(nt):
    a, b, q = map(int, input().split())
    xs = 0
    index_x = []

    for x in range(a*b):
        if (x % a) % b != (x % b) % a:
            xs += 1
            #print(x, end=" ")
        index_x.append(xs)

    for t in range(q):
        l, r = map(int, input().split())
        s = 0
        ll = l % (a * b)
        rr = r % (a * b)

        if (r // (a * b)) == (l // (a * b)):
            if ll > 0:
                s = index_x[rr] - index_x[ll-1]
            else:
                s = index_x[rr]
                    #print(x)
            print(s, end=" ")
            continue

        s += xs
        if ll != 0:
            s -= index_x[ll-1]

        if rr != 0:
            s += index_x[rr]
        s += ((r // (a*b)) - (l // (a*b)) - 1) * xs
        print(s, end=" ")

    print()