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 PYTHON):

Solution:
from sys import stdin, stdout
from fractions import gcd

input()
inp = stdin.readlines()
out = []

ptr = 0
while ptr < len(inp):
    a, b, q = map(int, inp[ptr].split()); ptr += 1
    if a > b: a, b = b, a

    lcm = (a * b) // gcd(a, b)

    lout = []
    for _ in xrange(q):
        li, ri = map(int, inp[ptr].split()); ptr += 1

        if a == b:
            lout.append('0')
            continue

        ql = li // lcm
        reml = li % lcm

        qr = ri // lcm
        remr = ri % lcm

        ans = (qr - ql - 1) * b

        ans += max(0, b - reml)
        ans += min(b, remr + 1)

        ans = (ri - li + 1 - ans)

        lout.append(str(ans))

    out.append(' '.join(lout))

stdout.write('\n'.join(out))