meetforever/GRPO_CL huggingface dataset:
user: Damir likes to rotate. Right now he is rotating tables of letters. He wrote an $R\times C$ table onto a piece of paper. He has also chosen an angle $K$, a multiple of $45$, and wants to rotate his table that many degrees clockwise.

It turns out this task is a bit too hard for Damir, so help him out.

-----Input-----
The first line contains two integers $R$ and $C$ separated by a space ($1 \leq R \leq 10$, $1 \leq C \leq 10$), the number of rows and columns in Damir’s table. Each of the next $R$ lines contains one row of Damir’s table, a string of $C$ lowercase letters. The last line contains an integer $K$, a multiple of $45$ between $0$ and $360$ (inclusive).

-----Output-----
Output Damir’s table rotated $K$ degrees clockwise, like shown in the examples. The output should contain the smallest number of rows necessary. Some rows may have leading spaces, but no rows may have trailing spaces.

-----Examples-----
Sample Input 1:
3 5
damir
marko
darko
45
Sample Output 1:
  d
 m a
d a m
 a r i
  r k r
   k o
    o

Sample Input 2:
3 5
damir
marko
darko
90
Sample Output 2:
dmd
aaa
rrm
kki
oor
user: Digits $4$ and $7$ are lucky, while all others are unlucky. An integer is lucky if it contains only lucky digits in decimal notation. We would like to know the $K$-th lucky positive integer.

-----Input-----
The first and only line of input contains a positive integer $K$ ($1 \le K \le 10^9$).

-----Output-----
The first and only line of output must contain the $K$-th lucky positive integer.

-----Examples-----
Sample Input 1:
1
Sample Output 1:
4

Sample Input 2:
2
Sample Output 2:
7
user: You are given two strings $s$, and $t$. Count the number of substrings of $s$ that contain $t$ as a subsequence at least once.

Note that a $substring$ and a $subsequence$ both consist of characters from the original string, in order. In a $substring$, the characters must be contiguous in the original string, but in a $subsequence$, they are not required to be contiguous. In the string abcde, ace is a subsequence but not a substring.

If $s$ is aa and $t$ is a, then the answer is $3$: [a]a, [aa], and a[a].

-----Input-----
Each test case will consist of exactly two lines.

The first line will contain string $s$ ($1\! \le \! |s|\! \le \! 10^5, s\! \in \! [a{-}z]^*$), with no other characters.

The second line will contain string $t$ ($1\! \le \! |t|\! \le \! 100, |t|\! \le \! |s|, t\! \in \! [a{-}z]^*$), with no other characters.

-----Output-----
Output a single integer, which is the number of substrings of $s$ that contain $t$ as a subsequence at least once.

-----Examples-----
Sample Input 1:
abcdefghijklmnopqrstuvwxyz
a
Sample Output 1:
26

Sample Input 2:
abcdefghijklmnopqrstuvwxyz
m
Sample Output 2:
182
user: Brojko and Brojana are happily married with $N$ little boys. The boys are named with distinct even integers $P_1, P_2, \ldots , P_ N$.

Brojko and Brojana are expecting an addition to their family and have to come up with a nice name for the little girl. They have decided that the name will be an odd integer in the range $[A, B]$. Because they find all integers in that range equally beautiful, they have decided to choose the number which maximizes the distance to the name of the closest of the $N$ boys.

More precisely, they seek an odd integer $X \in [ A , B ]$ such that the expression\[ \min \{ |X - P_ i| , i \in [ 1 , N ] \} \]

is as large as possible.

Write a program that determines the name for the little girl.

-----Input-----
The first line contains an integer $N$ ($1\le N \le 100$), the number of boys.

The second line contains N distinct positive even integers, the names of the boys. The integers will be less than $10^9$.

The third line contains the integers $A$ and $B$ ($1 \le A < B \le 10^9$), the range of names they are considering for the girl.

-----Output-----
Output an integer, the name for the little girl. If there are multiple solutions, any one of them will be accepted.

-----Examples-----
Sample Input 1:
3
2 6 16
20 50
Sample Output 1:
49

Sample Input 2:
3
2 6 16
3 15
Sample Output 2:
11
user: Mirko has been a very good boy, so he got exactly what he wanted for his birthday, a “Young physicist” kit! In the kit, there are $N$ types of resistors, connecting wires and an ohmmeter. If a resistor is of type $i$, it provides a resistance of precisely $R_ i$ ohms.

As we all know, resistors can be connected in two different ways, in series and parallel. Also, we know that the complete circuit of resistors can be replaced with one resistor of the resistance equal to the equivalent resistance of the circuit. When the circuit is series, it is written as (R1-R2-R3-…-RK) and the following formula holds:\begin{equation*} R_{\mathrm{eq}} = R_1 + R_2 + R_3 + \cdots + R_ K \quad . \end{equation*}

When the circuit is parallel, it is written as (R1|R2|R3|…|RK) and the following formula holds:\begin{equation*} R_{\mathrm{eq}} = \frac{1}{1/R_1 + 1/R_2 + 1/R_3 + \cdots + 1/R_ K} \quad . \end{equation*}

Mirko was excited to bring his new toy to school, where he showed it to all his friends. Unfortunately for him, the teacher also noticed the toy. She quickly connected a circuit and is now asking Mirko to tell her the equivalent resistance of the circuit. Help Mirko and answer the teacher’s question!

-----Input-----
The first line of input contains the integer $N$ ($1 \leq $N$ \leq 9$) from the task. The following line contains $N$ real numbers $R_ i$ ($0 < R_ i < 100$) from the task. The last line contains the circuit $S$, that will not be longer than $100000$ characters. $S$ will only consist of the following characters: ‘R’, ‘1’–‘9’, ‘(’, ‘)’, ‘-’ and ‘|’. The number of pairs of brackets will be minimal, and the brackets will be paired properly. Inside of a pair of brackets, there will not be the character ‘-’ and the character ‘|’ at the same time. The circuit will only consist of the resistors from the kit and it is possible that not all types of resistors are used, or that one type of resistor is used several times.

-----Output-----
The first and only line of output must contain the number from the task. An absolute error up to $10^{-5}$ will be accepted.

-----Examples-----
Sample Input 1:
3
2 3 6
(R1-R2-R3)
Sample Output 1:
11.00000

Sample Input 2:
3
2 3 6
(R1|R2|R3)
Sample Output 2:
1.00000
user: Mirko was bored at his chemistry class, so he played Bomb Switcher on his cell phone. Unfortunately, he was spotted and was given a ridiculously heavy assignment for homework. For a given valid math expression with brackets, he must find all different expressions that can be obtained by removing valid pairs of brackets from the original expression. Two expressions are different if there is a character at which they differ.

For example, given $(2+(2*2)+2)$, one can get $(2+2*2+2)$, $2+(2*2)+2$, and $2+2*2+2$. $(2+2*2)+2$ and $2+(2*2+2)$ can’t be reached, since we would have to remove pairs of brackets that are not valid. More than one pairs of brackets can surround the same part of the expression.

-----Input-----
The first and only line of input contains one valid mathematical expression composed of nonnegative integers, basic arithmetic operations denoted with characters ‘+’, ‘*’, ‘-’ and ‘/’, and brackets ‘(’ and ‘)’.

Given expression doesn’t have more than 200 characters, and will have at least one, and no more than 10 pairs of brackets. Each expression is guaranteed to have at least one pair of brackets.

-----Output-----
Output all different expressions that can be obtained by removing valid pairs of brackets, sorted lexicographically.

-----Examples-----
Sample Input 1:
(0/(0))
Sample Output 1:
(0/0)
0/(0)
0/0

Sample Input 2:
(2+(2*2)+2)
Sample Output 2:
(2+2*2+2)
2+(2*2)+2
2+2*2+2
user: VisuAlgo (http://visualgo.net) is a website developed by a team of staff and students of School of Computing, National University of Singapore, the host of the 2015 ACM-ICPC Asia Singapore Regional. VisuAlgo visualizes a number of popular data structures and algorithms in the Computer Science curriculum. Currently, it receives approximately 2000 hits/day from CS students and instructors worldwide.

One new feature of VisuAlgo is the online quiz. As an example, the above figure shows a question about the classic Single-Source (Single-Destination) Shortest Paths problem in graph theory. The beauty of this online quiz feature is that the question parameters are randomized. The drawn graph G is taken from a collection of hundreds of directed weighted graphs (with their 2-D layouts) in VisuAlgo’s internal database. The graph G has $V$ vertices numbered from $[0..V-1]$. The source vertex $s$ and the destination vertex $t$ are selected at random from $[0..V-1]$.

However, such randomization of the question parameters may produce either a trivial question (e.g. “No Answer” when $s$ and $t$ are disconnected, $0$ when $s = t$, simple tracing of a path if there is only a single unique path from $s$ to $t$ as shown in the above figure) or insanely difficult question to be computed manually if there are too many possible shortest paths from $s$ to $t$.

The developers of VisuAlgo want to calibrate such Shortest Paths question with randomized parameters so that it is possible for a normal Computer Science student to answer the randomly generated question manually within a reasonable amount of time. Please help them.

-----Input-----
The first line of input contains two non-negative integers $1 \leq V \leq 10000$ and $0 \leq E \leq 200000$, giving the number of vertices and edges of the drawn graph G.

Thereafter follow $E$ lines, each describing the directed weighted edges in G by three integers $0 \leq u, v \leq V-1$ and $1 \leq w \leq 99$ (VisuAlgo limits the edge weight to be at most 2 characters for visual aesthetic purpose), where $u$ and $v$ are the vertex numbers and $w$ is the weight of the directed edge $u \rightarrow v$. It is guaranteed that G is a simple graph without self-loops or multiple directed edges with the same direction between the same pair of vertices.

Finally, there are two integers in the last line of input $0 \leq s, t \leq V-1$.

-----Output-----
Print a line with the number of different shortest paths between $s$ to $t$ in G. Two shortest paths $p_1$ and $p_2$ are considered different if there exists at least one edge in $p_1$ that is not found in $p_2$. It is guaranteed that the answer fits in a 32-bit signed integer data type.

-----Examples-----
Sample Input 1:
6 10
0 1 26
1 3 29
1 5 9
2 3 25
2 4 43
4 2 3
5 0 13
5 2 33
5 3 18
5 4 58
5 1
Sample Output 1:
1

Sample Input 2:
7 9
0 1 1
0 2 2
1 2 1
2 3 1
2 4 3
3 4 1
4 5 1
4 6 2
5 6 1
0 6
Sample Output 2:
4
user: When dealt cards in the card game Plump it is a good idea to start by sorting the cards in hand by suit and rank. The different suits should be grouped and the ranks should be sorted within each suit. But the order of the suits does not matter and within each suit, the cards may be sorted in either ascending or descending order on rank. It is allowed for some suits to be sorted in ascending order and others in descending order. 

Sorting is done by moving one card at a time from its current position to a new position in the hand, at the start, end, or in between two adjacent cards. What is the smallest number of moves required to sort a given hand of cards?

-----Input-----
The first line of input contains an integer $n$ ($1 \le n \le 52$), the number of cards in the hand. The second line contains $n$ pairwise distinct space-separated cards, each represented by two characters. The first character of a card represents the rank and is either a digit from 2 to 9 or one of the letters T, J, Q, K, and A representing Ten, Jack, Queen, King and Ace, respectively, given here in increasing order. The second character of a card is from the set {s, h, d, c} representing the suits spades $\spadesuit $, hearts $\heartsuit $, diamonds $\diamondsuit $, and clubs $\clubsuit $.

-----Output-----
Output the minimum number of card moves required to sort the hand as described above.

-----Examples-----
Sample Input 1:
4
2h Th 8c Qh
Sample Output 1:
1

Sample Input 2:
7
9d As 2s Qd 2c Jd 8h
Sample Output 2:
2
user: Yancy is designing a new board game called Colorland. The rules of Colorland are as follows:
 - Colorland’s board is a linear sequence of $N+1$ squares. The first square is a special start square, the remaining $N$ squares are colored blue, orange, pink, green, red, or yellow.
 - The goal of Colorland is to move your game piece from the start square to square $N$.
 - Players take turns drawing from a shuffled deck of cards. Each card has a single color on it. A player moves to the nearest square after their current square with the color indicated by the drawn card.
 - If there are no squares of the drawn color after a player’s current square, that player’s piece does not move and their turn ends.

Yancy is interested in the length of play required for different board layouts. She would like to know the smallest number of cards any one player would have to draw to complete the game.

For instance, the board for Sample Input 3 is [Start, Blue, Orange, Pink, Green, Red, Yellow, Yellow, Yellow, Yellow]. The best first draw is Yellow which advances a player from Start to the $6^\text {th}$ square. From the $6^\text {th}$ square to the end, only a Yellow draw will advance the player. Therefore the smallest number of draws is $4$.

-----Input-----
The first line of input consists of a single integer $N$ ($1 \le N \le 200000$) denoting the number of squares. The next $N$ lines each contain a single string $S_ i \in \{ \text {Blue}, \text {Orange}, \text {Pink}, \text {Green}, \text {Red}, \text {Yellow}\} $ representing the color of the $i^\text {th}$ square, starting with the first square on the board (not counting the start square).

-----Output-----
Output a single integer equal to the minimum number of draws required to move from the start square to square $N$.

-----Examples-----
Sample Input 1:
6
Blue
Orange
Pink
Green
Red
Yellow
Sample Output 1:
1

Sample Input 2:
12
Blue
Orange
Pink
Green
Red
Yellow
Yellow
Red
Green
Pink
Orange
Blue
Sample Output 2:
2
user: Battleship is a game played by two players. Each player has their own grid, which is hidden from their opponent. Each player secretly places some ships on their grid. Each ship covers a horizontal or vertical straight line of one or more contiguous squares. Ships cannot overlap. All ships are considered distinct, even if they have the same size. The orientation of each ship is not important to the game, only the squares they occupy.

After placing their ships, the players then take turns taking shots at their opponent’s ships by calling out a coordinate of their opponent’s grid. The opponent must honestly say whether the shot was a hit or a miss. When all of a ship’s squares are hit, that ship sinks (“You sunk my battleship!!”). A player loses when all of their ships are sunk.

Bob is playing a game of Mini Battleship against Alice. Regular Battleship is played on a $10 \! \times \! 10$ grid with $5$ ships. Mini Battleship is much smaller, with a grid no larger than $5 \! \times \! 5$ and possibly fewer than $5$ ships.

Bob wonders how many ship placements are possible on Alice’s board given what he knows so far. The answer will be $0$ if Alice is cheating! (Or, if the game setup isn’t possible.)

-----Input-----
The first line of input contains two space-separated integers $n$ ($1 \le n \le 5$) and $k$ ($1 \le k \le 5$), which represent a game of Mini Battleship played on an $n \! \times \! n$ grid with $k$ ships.

Each of the next $n$ lines contains a string $s$ ($|s|=n$). This is what Bob sees of Alice’s grid so far.
 - A character ‘X’ represents one of Bob’s shots that missed.
 - A character ‘O’ (Letter O, not zero) represents one of Bob’s shots that hit.
 - A dot (‘.’) represents a square where Bob has not yet taken a shot.

Each of the next $k$ lines contains a single integer $x$ ($1 \le x \le n$). These are the sizes of the ships.

-----Output-----
Output a single integer, which is the number of ways the $k$ distinct ships could be placed on Alice’s grid and be consistent with what Bob sees.

-----Examples-----
Sample Input 1:
4 3
....
.OX.
....
O..X
3
2
1
Sample Output 1:
132

Sample Input 2:
4 4
.X.X
.XX.
...X
....
1
2
3
4
Sample Output 2:
6
user: You are given $W$, a set of $N$ words that are anagrams of each other. There are no duplicate letters in any word. A set of words $S \subseteq W$ is called “swap-free” if there is no way to turn a word $x \in S$ into another word $y \in S$ by swapping only a single pair of (not necessarily adjacent) letters in $x$. Find the size of the largest swap-free set $S$ chosen from the given set $W$.

-----Input-----
The first line of input contains an integer $N$ ($1 \le N \le 500$). Following that are $N$ lines each with a single word. Every word contains only lowercase English letters and no duplicate letters. All $N$ words are unique, have at least one letter, and every word is an anagram of every other word.

-----Output-----
Output the size of the largest swap-free set.

-----Examples-----
Sample Input 1:
6
abc
acb
cab
cba
bac
bca
Sample Output 1:
3

Sample Input 2:
11
alerts
alters
artels
estral
laster
ratels
salter
slater
staler
stelar
talers
Sample Output 2:
8
user: The evil emperor Cactus has in his possession the Magic Keg and has flooded the Enchanted Forest! The Painter and the three little hedgehogs now have to return to the Beaver’s den where they will be safe from the water as quickly as possible!

The map of the Enchanted Forest consists of R rows and C columns. Empty fields are represented by ‘.’ characters, flooded fields by ‘*’ and rocks by ‘X’. Additionally, the Beaver’s den is represented by ‘D’ and the Painter and the three little hedgehogs are shown as ‘S’.

Every minute the Painter and the three little hedgehogs can move to one of the four neighbouring fields (up, down, left or right). Every minute the flood expands as well so that all empty fields that have at least one common side with a flooded field become flooded as well. Neither water nor the Painter and the three little hedgehogs can pass through rocks. Naturally, the Painter and the three little hedgehogs cannot pass through flooded fields, and water cannot flood the Beaver’s den.

Write a program that will, given a map of the Enchanted Forest, output the shortest time needed for the Painter and the three little hedgehogs to safely reach the Beaver’s den.

Note: The Painter and the three little hedgehogs cannot move into a field that is about to be flooded (in the same minute).

-----Input-----
The first line of input will contain two positive integers, $R$ and $C$, smaller than or equal to $50$. The following $R$ lines will each contain $C$ characters (‘.’, ‘*’, ‘X’, ‘D’ or ‘S’). The map will contain exactly one ‘D’ character and exactly one ‘S’ character.

-----Output-----
Output the shortest possible time needed for the Painter and the three little hedgehogs to safely reach the Beaver’s den. If this is impossible output the word “KAKTUS” on a line by itself.

Clarification of the second sample test below: The best they can do is to go along the lower border and then the left border, and get flooded one minute before reaching the den.

-----Examples-----
Sample Input 1:
3 3
D.*
...
.S.
Sample Output 1:
3

Sample Input 2:
3 3
D.*
...
..S
Sample Output 2:
KAKTUS
user: Alice is a queen bee living in Beeland (a honeycomb structure described by $R$, the number of cells of the side of honeycomb). The cells in Beeland are numbered from $1$ to $R^3 - (R-1)^3$ in row major order. For example for $R = 3$, the Beeland that Alice lives in looks like this:

Now Alice lives in a house that occupies $K$ adjacent cells in Beeland. You are Bob, the knight bee. You need to protect Alice’s house, but first you need to know the length of its outer perimeter (the number of outermost sides of Alice’s house). The illustration below shows the visualizations of Sample Inputs/Outputs $2$ and $3$.

-----Input-----
The first line of input consists of two integers: $R$ and $K$. ($1 \leq R \leq 50$, $1 \leq K \leq R^3 - (R-1)^3$). The second line contains $K$ unique integers that describe the indices of Alice’s house, where each integer is in the range $[1,R^3-(R-1)^3]$.

-----Output-----
Print an integer in one line: The perimeter of Alice’s house.

-----Examples-----
Sample Input 1:
3 1
7
Sample Output 1:
6

Sample Input 2:
3 6
5 6 7 11 15 18
Sample Output 2:
24
user: In research, it is tough to determine how good of a researcher you are. One way that people determine how good you are is by looking at your $H$-Index.

Each paper has a certain number of citations. Your $H$-Index is the largest number $H$ such that you have $H$ papers with at least $H$ citations. Given the number of citations on each paper you have written, what is your $H$-Index?

-----Input-----
The first line of input contains a single integer $n$ ($1 \leq n \leq 100000$), which is the number of papers you have written.

The next $n$ lines describe the papers. Each of these lines contains a single integer $c$ ($0 \leq c \leq 1000000000$), which is the number of citations that this paper has.

-----Output-----
Display your $H$-Index.

-----Examples-----
Sample Input 1:
5
7
1
2
1
5
Sample Output 1:
2

Sample Input 2:
5
7
1
3
1
5
Sample Output 2:
3
user: Every day after school, you and your friends get together and play in a band. Over the past couple of months, the band has been rehearsing a large number of songs. Now it’s time to go out and perform in front of a crowd for the first time. In order to do so, a set list for the concert needs to be determined.

As it turns out, every band member has a different taste in music. (Who would have thought?) Everybody is very picky: a band member doesn’t want to play any particular song $X$ unless he also gets to play all songs he likes better than song $X$. This holds for every band member and for every song $X$. Furthermore, obviously at least one song should be performed.

The organisers of the concert do not want you to play too many songs, so a selection needs to be made that is as small as possible. As the unofficial leader of the band, you have taken it upon yourself to find a minimum length set list that meets the requirements.

-----Input-----
The first line contains two integers $M$ and $S$, satisfying $M \geq 1$ and $S \geq 1$ as well as $M\cdot S \leq 10^6$. These denote the total number of band members and the number of songs, respectively.

The following $M$ lines each contain $S$ integers per line, where the $i$-th line denotes the preference list of the $i$-th band member, starting with his favourite song and ending with his least favourite song. The songs are numbered $1$ through $S$.

No two band members have the exact same preference lists.

-----Output-----
Output the smallest possible set list, using the following format:
 - One line with an integer $L$: the length of the smallest possible set list.
 - One line with $L$ space-separated integers, denoting a sorted list of the songs to be played.

-----Examples-----
Sample Input 1:
3 8
4 5 2 1 6 8 3 7
5 2 4 8 6 1 3 7
2 5 4 8 1 6 3 7
Sample Output 1:
3
2 4 5

Sample Input 2:
2 8
6 2 8 7 1 3 4 5
2 8 7 1 3 4 5 6
Sample Output 2:
8
1 2 3 4 5 6 7 8