Preparando MOJI
You successfully found poor Arkady near the exit of the station you've perfectly predicted. You sent him home on a taxi and suddenly came up with a question.
There are $$$n$$$ crossroads in your city and several bidirectional roads connecting some of them. A taxi ride is a path from some crossroads to another one without passing the same crossroads twice. You have a collection of rides made by one driver and now you wonder if this driver can be a robot or they are definitely a human.
You think that the driver can be a robot if for every two crossroads $$$a$$$ and $$$b$$$ the driver always chooses the same path whenever he drives from $$$a$$$ to $$$b$$$. Note that $$$a$$$ and $$$b$$$ here do not have to be the endpoints of a ride and that the path from $$$b$$$ to $$$a$$$ can be different. On the contrary, if the driver ever has driven two different paths from $$$a$$$ to $$$b$$$, they are definitely a human.
Given the system of roads and the description of all rides available to you, determine if the driver can be a robot or not.
Each test contains one or more test cases. The first line contains a single integer $$$t$$$ ($$$1 \le t \le 3 \cdot 10^5$$$) — the number of test cases.
The first line of each test case contains a single integer $$$n$$$ ($$$1 \le n \le 3 \cdot 10^5$$$) — the number of crossroads in the city.
The next line contains a single integer $$$q$$$ ($$$1 \le q \le 3 \cdot 10^5$$$) — the number of rides available to you.
Each of the following $$$q$$$ lines starts with a single integer $$$k$$$ ($$$2 \le k \le n$$$) — the number of crossroads visited by the driver on this ride. It is followed by $$$k$$$ integers $$$c_1$$$, $$$c_2$$$, ..., $$$c_k$$$ ($$$1 \le c_i \le n$$$) — the crossroads in the order the driver visited them. It is guaranteed that all crossroads in one ride are distinct.
It is guaranteed that the sum of values $$$k$$$ among all rides of all test cases does not exceed $$$3 \cdot 10^5$$$.
It is guaranteed that the sum of values $$$n$$$ and the sum of values $$$q$$$ doesn't exceed $$$3 \cdot 10^5$$$ among all test cases.
Output a single line for each test case.
If the driver can be a robot, output "Robot" in a single line. Otherwise, output "Human".
You can print each letter in any case (upper or lower).
1 5 2 4 1 2 3 5 3 1 4 3
Human
1 4 4 3 1 2 3 3 2 3 4 3 3 4 1 3 4 1 2
Robot
In the first example it is clear that the driver used two different ways to get from crossroads $$$1$$$ to crossroads $$$3$$$. It must be a human.
In the second example the driver always drives the cycle $$$1 \to 2 \to 3 \to 4 \to 1$$$ until he reaches destination.
Informação
Provedor Codeforces
Código CF1056H
Tags
Submetido 0
BOUA! 0
Taxa de BOUA's 0%
Datas 09/05/2023 09:39:45
Relacionados