#P1744E1. Divisible Numbers (easy version)
Divisible Numbers (easy version)
No submission language available for this problem.
Description
This is an easy version of the problem. The only difference between an easy and a hard version is the constraints on $a$, $b$, $c$ and $d$.
You are given $4$ positive integers $a$, $b$, $c$, $d$ with $a < c$ and $b < d$. Find any pair of numbers $x$ and $y$ that satisfies the following conditions:
- $a < x \leq c$, $b < y \leq d$,
- $x \cdot y$ is divisible by $a \cdot b$.
Note that required $x$ and $y$ may not exist.
The first line of the input contains a single integer $t$ $(1 \leq t \leq 10$), the number of test cases.
The descriptions of the test cases follow.
The only line of each test case contains four integers $a$, $b$, $c$ and $d$ ($1 \leq a < c \leq 10^5$, $1 \leq b < d \leq 10^5$).
For each test case print a pair of numbers $a < x \leq c$ and $b < y \leq d$ such that $x \cdot y$ is divisible by $a \cdot b$. If there are multiple answers, print any of them. If there is no such pair of numbers, then print -1 -1.
Input
The first line of the input contains a single integer $t$ $(1 \leq t \leq 10$), the number of test cases.
The descriptions of the test cases follow.
The only line of each test case contains four integers $a$, $b$, $c$ and $d$ ($1 \leq a < c \leq 10^5$, $1 \leq b < d \leq 10^5$).
Output
For each test case print a pair of numbers $a < x \leq c$ and $b < y \leq d$ such that $x \cdot y$ is divisible by $a \cdot b$. If there are multiple answers, print any of them. If there is no such pair of numbers, then print -1 -1.
5
1 1 2 2
3 4 5 7
8 9 15 18
12 21 14 24
36 60 48 66
2 2
4 6
12 12
-1 -1
-1 -1