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:
from math import gcd

t = int(input())
for __ in range(t):
    a,b,q = map(int,input().split())
    if a > b:
        a, b = b, a
    g = a * b // gcd(a, b)

    # 1以上m以下
    def solve(m):
        if m == 0:
            return 1
        aa,bb = divmod(m + 1, g)
        ret = aa * b
        ret += min(bb, b)
        return ret
    
    def br(l, r):
        ret = 0
        for i in range(l, r + 1):
            if (i % a) % b != (i % b) % a:
                ret += 1
        return ret

    res = []
    # brt = []
    for _ in range(q):
        l,r = map(int,input().split())
        if b % a == 0:
            res.append(0)
        else:
            res.append(r - l + 1 - (solve(r) - solve(l - 1)))
        # brt.append(br(l, r))
    print(*res)
    # print(*brt)