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:
import sys
input = sys.stdin.readline
############ ---- Input Functions ---- ############
def inp():
    return(int(input()))
def inlt():
    return(list(map(int,input().split())))
def insr():
    s = input()
    return(list(s[:len(s) - 1]))
def invr():
    return(map(int,input().split()))

def print_list_int(l):
    print("".join(map(str, map(int, l))))

def compute_lcm(x, y):

    # choose the greater number
    if x > y:
        greater = x
    else:
        greater = y

    while(True):
        if((greater % x == 0) and (greater % y == 0)):
            lcm = greater
            break
        greater += 1

    return lcm

if __name__ == "__main__":
    t = inp()
    for test in range(t):
        a,b,q = inlt()
        c,d = min(a,b), max(a,b)
        a,b = c,d
        lcm = compute_lcm(a,b)
        out = []
        for i in range(q):
            l,r =inlt()
            if lcm == b:
                out.append("0")
            elif r<b:
                out.append("0")
            elif r<lcm:
                out.append(str(r-max(l,b)+1))
            else:
                if l%lcm < b:
                    l = int(l//lcm)*lcm + b
                if r%lcm < b:
                    r = int(r//lcm)*lcm - 1
                between = int((r)//lcm)-int(l//lcm)
                num = r-l+1 - (b*between)
                out.append(str(num))
        print(" ".join(out))