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 b == 0:
        return a
    else:
        return gcd(b, a % b)


t = int(input())
for i in range(t):
    a, b, q = map(int, input().split())
    mi = min(a, b)
    ma = max(a, b)
    for j in range(q):
        l, r = map(int, input().split())
        l = max(l, ma)
        if a == b or mi == 1 or l > r:
            print(0, end=" ")
        else:
            ans = r - l + 1
            g = ((a * b) // gcd(a, b))
            k = r // g
            lev = l // g
            if g * lev + ma - 1 < l:
                lev += 1
            if k >= lev:
                ans -= (k - lev) * ma
                ans -= min(r - g * k + 1, ma)
                ans += max(0, l - g * lev)
            if ans <= 0:
                ans = 0
            print(ans, end=" ")
    print()