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:
# -*- coding: utf-8 -*-
"""
Created on Sat Apr 11 09:32:52 2020

@author: Saurav Sihag
"""

rr = lambda: input().strip()
rri = lambda: int(rr())
# rri = lambda: int(stdin.readline())
rrm = lambda: [int(x) for x in rr().split()]

from math import gcd
from sys import stdin, stdout

def sol():
    a, b, q = rrm()
    # x=gcd(a, b);
    x=a*b
    lis=[0 for i in range(x+1)]
    tmp=0
    for i in range(x+1):
        if (i%a)%b!=(i%b)%a:
            tmp+=1
        lis[i]=tmp
    res=0
    # print(lis)
    # print(x)
    for i in range(q):
        res=0
        l, r=rrm()
        res+=lis[x]*(r//x)+lis[r%x]
        if l!=0:
            l-=1
            res-=(lis[x]*(l//x)+lis[l%x])
        stdout.write(str(res)+" ")
    stdout.write("\n")

T = rri()
for _ in range(T):
    sol()
    # print(ans)