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:
def gcd(a, b):
    while b: a, b = b, a % b
    return a
    
def lcm(a, b):
    return a * b // gcd(a, b)
    
def cal(a, b, ab, x):
    t = x // ab
    cnt = t * (ab - b)
    x -= t * ab
    x -= b - 1
    if x > 0:
        cnt += x
    return cnt

def calc(a, b, ab, l, r):
    if a == b: return 0
    if a == 1: return 0
    return cal(a, b, ab, r) - cal(a, b, ab, l-1)
    

t = int(raw_input())
for _ in xrange(t):
    a, b, q = map(int, raw_input().split())
    a, b = min(a, b), max(a, b)
    ab = lcm(a, b)
    ans = [calc(a, b, ab, *map(int, raw_input().split())) for i in xrange(q)]
    print ' '.join(map(str, ans))