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 math
#from functools import lru_cache
#import heapq
#from collections import defaultdict
#from collections import Counter
#from collections import deque
#from sys import stdout
#from sys import setrecursionlimit
#setrecursionlimit(10**7)
from sys import stdin
input = stdin.readline

INF = 10**9 + 7
MAX = 10**7 + 7
MOD = 10**9 + 7

def solve(x, l, c):
    ans = (x//l)*c
    ans += min(x%l+1, c)
    return x - ans + 1
    
for Ti in range(int(input().strip())):
    a, b, q = [int(x) for x in input().strip().split()]
    g = math.gcd(a, b)
    l = a*b//g
    c = max(a, b)
    for qi in range(q):
        ans = 0
        s, e = [int(x) for x in input().strip().split()]
        print(-solve(s-1, l, c) + solve(e, l, c), end = ' ')
    print('')