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.buffer.readline

import math
#from functools import reduce
def lcm_base(x, y):
    return (x * y) // math.gcd(x, y)

from itertools import accumulate

t = int(input())
for _ in range(t):
    a, b, q = map(int, input().split())
    L = lcm_base(a, b)
    A = [0]*L
    for x in range(1, L):
        if (x%a)%b != (x%b)%a:
            A[x-1] = 1
    #print(A)
    B = [0]+A
    B = list(accumulate(B))
    #print(B)
    p = B[-1]
    ans = [-1]*q
    for i in range(q):
        l, r = map(int, input().split())
        ql, rl = divmod(l-1, L)
        qr, rr = divmod(r, L)
        ans[i] = p*qr+B[rr] - (p*ql+B[rl])
    print(*ans)