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(a,b): 
    if a == 0: 
        return b 
    return gcd(b % a, a) 
  
# Function to return LCM of two numbers 
def lcm(a,b): 
    return (a*b) / gcd(a,b) 

def check(f,t,x):
    ans = (x//(f+t)) * f
    if x%(f+t) > t:
        ans += x%(f+t) - t +1
    return x//(f+t) * f + max(x%(f+t) - t ,0)

def out():
    a,b,q= map(int,input().split())
    am = max(a,b)
    bm = min(a,b)
    
    Time = am*( bm//gcd(a,b) )
    f = Time - am
    t = am
    # print(f,t,a,b)
    for i in range(q):
        l,r = map(int,input().split())
        # print("dsf",t+f,l)
        # print("left",check(f,t,l))
        # print("right",check(f,t,r))
        z = int(check(f,t,r+1)-check(f,t,l)) 
        print( z,end=' ')
    print()

ans = 0 
for i in range(int(input())):
    out()