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(u, v):
    if u < v:
        return gcd(v, u)
    if v == 0:
        return u
    return gcd(v, u%v)

def case(a, b, ld):
    l, r = map(int, input().split())
    if a % b == 0:
        return 0
    if r < max(a, b):
        return 0
    
    low = l // ld 
    high = r // ld
    raw = (high-low)*a
    raw -= min(l-(low*ld),a)
    raw += min(r-(high*ld)+1, a)
    return r-l+1-raw
    

def sol():
    a, b, q = map(int, input().split())
    if a < b:
        a, b = b, a 
    d = gcd(a, b)
    b_ = b // d 
    ld = b_*a
    res = []
    for _ in range(q):
        res.append(str(case(a, b, ld)))
    return res

t = int(input())
for _ in range(t):
    print(' '.join(sol()))