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 compute_hcf(x, y):
    while(y):
        x, y = y, x % y
    return x
t = int(input())
for i in range(t):
    a,b,q = map(int,input().split())
    lc = (a*b)//compute_hcf(a,b)
    ans = []
    for j in range(q):
        l,r = map(int,input().split())
        if r%lc<max(a,b):
            yes = max(a,b)*(-1+r//lc) + r%lc + max(a,b) 
        else:
            yes = max(a,b)*(r//lc) + max(a,b) - 1
        ans_r = r - yes
        if l%lc<max(a,b):
            yes = max(a,b)*(-1+l//lc) + l%lc + max(a,b) 
        else:
            yes = max(a,b)*(l//lc) + max(a,b) - 1
        ans_l = l - yes
        if (l%a)%b!=(l%b)%a:
            ans.append(ans_r-ans_l+1)
        else:
            ans.append(ans_r-ans_l)
    for j in range(q):
        if j!=q-1:
            print(ans[j],end=' ')
        else:
            print(ans[j])