meetforever/GRPO_CL huggingface dataset:
user: Every evening, little Ivica sends secret messages to little Marica through e-mail. Knowing Ivica’s e-letter travels unguarded through the network on its way to Marica’s e-mailbox, they have decided to encrypt every message using the following algorithm:
 - Suppose Ivica’s message consists of $N$ characters.
 - Ivica must first find a matrix consisting of $R$ rows and $C$ columns such that $R \le C$ and $R \cdot C = N$. If there is more than one such matrix, Ivica chooses the one with the most rows.
 - Ivica writes his message into the matrix in row-major order. In other words, he writes the first segment of the message into the first row, the second segment into the second row and so on.
 - The message he sends to Marica is the matrix read in column-major order.

For instance, suppose Ivica wants to send the message “bombonisuuladici” containing 16 letters. He can use a $1 \times 16$, $2 \times 8$, or $4 \times 4$ matrix. Of these, the $4 \times 4$ has the most rows. When the message is written into it, the matrix looks like this, and the encrypted message becomes “boudonuimilcbsai”.

b

o

m

b

o

n

i

s

u

u

l

a

d

i

c

i

Marica has grown tired of spending her precious time deciphering Ivica’s messages, so you must write a program to do it for her.

-----Input-----
The input contains the received message, a string of lowercase letters of the English alphabet (with no spaces). The number of letters will be between 1 and 100.

-----Output-----
Output the original (decrypted) message.

-----Examples-----
Sample Input 1:
bok
Sample Output 1:
bok

Sample Input 2:
koaski
Sample Output 2:
kakosi
user: A new type of chocolate arrived in the local shop. The chocolate comes in bars, each bar consisting of $N$ squares. Bars are factory made and only come in sizes which are full powers of two. In other words a single bar has $1, 2, 4, 8, 16, \dots $ squares.

To fully asses the quality of chocolate Mirko must sample at least $K$ squares. His friend Slavko would also like to try some of the chocolate. Since Mirko is in a hurry to try the chocolate himself, he decides to break the bar he bought in pieces, such that he has exactly $K$ squares, and leaves the rest (if any) to Slavko. The bars are a bit brittle, so Mirko can break them only on their exact center. In other words, from one bar with $D$ squares, he can get two bars with $D/2$ squares.

Write a program that will determine the minimal number of breaks Mirko must perform in order to obtain exactly $K$ squares (not necessarily in one piece). Also, determine the smallest bar size Mirko must buy in order to have at least $K$ squares.

-----Input-----
The first and only line of input will contain one integer $K$ $(1 \leq K \leq 1000000)$, number of squares Mirko must sample.

-----Output-----
The first and only line of output should contain two integers, separated by a single space. The first integer is the smallest bar size Mirko must buy. The second the smallest number of breaks.

-----Examples-----
Sample Input 1:
6
Sample Output 1:
8 2

Sample Input 2:
7
Sample Output 2:
8 3
user: Rhyming slang involves replacing a common word with a phrase of two or three words, the last of which rhymes with the original word. For example,
 - replacing the word “stairs” with the rhyming phrase “apples and pears”,
 - or replacing “rotten” with the phrase “bales of cotton”.

English has such a wide variety of spellings and pronunciations that for any non-native speaker telling what rhymes isn’t always easy. Perhaps you can help?

Typically, two words rhyme (or can be forced to rhyme) if both of their endings can be found on the same list of word endings that sound the same.

Given a common word, a number of lists, each containing word endings that sound the same, and a number of phrases, determine if those phrases could be rhyming slang.

-----Input-----
 - One line containing the single common word $S$ ($1 \le |S| \le 20$).
 - One line containing an integer $E$ ($1 \le E \le 10$), the number of lists of word endings that sound the same.
 - $E$ lines, each no more than $100$ characters long. Each a list of space-separated word endings.
 - One line containing an integer $P$ ($1 \le P \le 10$), the number of phrases to test.
 - $P$ lines, each no more than $100$ characters long, containing a phrase $p_ i$ of two or three words that might rhyme with the common word.

All words and letters will be in lower case. The common word’s ending will appear in at least one ending list.

-----Output-----
 - $P$ lines, each consisting of either:
 - ’YES’: The phrase $p_ i$ rhymes with the common word.
 - ’NO’: The phrase $p_ i$ does not rhyme with the common word.

-----Examples-----
Sample Input 1:
stairs
2
erres airs ears ares aires
eet eat
2
apples and pears
plates of meat
Sample Output 1:
YES
NO

Sample Input 2:
drought
2
aught ought aut acht
ought oubt outte out oute
5
tasty sprout
difficult route
worried and fraught
forever in doubt
apples and pears
Sample Output 2:
YES
YES
YES
YES
NO
user: Hangman is a (somewhat macabre) word-guessing game that can be played by two people. Player $1$ thinks of a word consisting of $n$ letters, and draws a row of $n$ dashes on a piece of paper. These dashes correspond to the letters of the word, in the same order. Player $2$ then attempts to discover the word by making a sequence of letter guesses. For each letter guessed by Player $2$:
 - If the letter occurs one or more times in the word, Player $1$ writes the letter above each corresponding dash.
 - If the letter does not occur in the word, Player $1$ adds one component to a drawing of a stick-figure man hanging on a gallows. The drawing (initially empty) has $10$ possible components: base, vertical beam, horizontal beam, rope, head, torso, right leg, left leg, right arm, left arm.

If Player $2$ guesses all the letters in the word before the drawing of the hanging man is complete, then Player $2$ wins (and Player $1$ loses). Otherwise, Player $2$ loses (and Player $1$ wins).

Ned loves playing hangman, especially as Player $2$, but he finds that he is not a very good letter guesser. To improve his chances, he decides to adopt a new strategy. For each word selected by Player $1$, Ned chooses a random permutation of the letters of the alphabet, and then simply guesses letters in that order until he either wins or loses. Given the word and Ned’s permutation of the alphabet, determine the outcome of the game.

-----Input-----
The input consists of two lines representing a single game of Hangman. The first line contains the word to be guessed, a non-empty string of uppercase English alphabet letters (A–Z) of maximum length $16$. The second line contains a permutation of the $26$ letters of the English alphabet, also uppercase.

-----Output-----
If Ned wins the game by guessing letters in the order given by the permutation (proceeding from left to right), output “WIN”. Otherwise, output “LOSE”.

-----Examples-----
Sample Input 1:
HANGMAN
ABCDEFGHIJKLMNOPQRSTUVWXYZ
Sample Output 1:
WIN

Sample Input 2:
BANANA
ABCDEFGHIJKLMNOPQRSTUVWXYZ
Sample Output 2:
LOSE
user: An eccentric coach asks players on the team to line up alphabetically at the start of practice. The coach does not tell the players whether they need to line up in increasing or decreasing order, so they guess. If they guess wrong, the coach makes them run laps before practice. Given a list of names, you are to determine if the list is in increasing alphabetical order, decreasing alphabetical order or neither.

-----Input-----
The input consists of a single test case. The first line will contain the number $N$ of people on the team ($2 \leq N \leq 20$). Following that are $N$ lines, each containing the name of one person. A name will be at least two characters and at most $12$ characters in length and will consist only of capital letters, and with no white spaces (sorry BILLY BOB and MARY JOE). Duplicates names will not be allowed on a team.

-----Output-----
Output a single word: INCREASING if the list is in increasing alphabetical order, DECREASING if it is in decreasing alphabetical order, and otherwise NEITHER.

-----Examples-----
Sample Input 1:
5
JOE
BOB
ANDY
AL
ADAM
Sample Output 1:
DECREASING

Sample Input 2:
11
HOPE
ALI
BECKY
JULIE
MEGHAN
LAUREN
MORGAN
CARLI
MEGAN
ALEX
TOBIN
Sample Output 2:
NEITHER
user: You’re attending a arcade basketball competition, where the objective is to score as many points as possible until the time runs out. The announcer has informed the crowd that their scoreboard is broken, so they don’t have a way to keep track of all the scores. As a seasoned programmer, you feel you can whip up a program that can keep track of the names of the players and the amount of points they’ve scored, announcing the winner(s) at the end of the contest.

-----Input-----
The first line contains three integers: the number of participants $n$ ($1 \le n \le 100000$); the minimum number $p$ of points required to win the contest ($1 \le p \le 10001$); and $m$, the number of lines with player names and points ($1 \le m \le 200000$). The next $n$ lines contain the names of the participants, each mentioned exactly once. Each name consist of no more than $20$ alphanumerical characters. The remaining $m$ lines each contain the name of a participant, followed by how many points they scored ($1$, $2$, or $3$).

-----Output-----
Output the names of those participants who reached the minimum required score, one per line! Output “<Winner> wins!” for each winner. Output the winners in the order in which they’ve reached the required score. If no one reaches the minimum required score, output “No winner!” (including the exclamation mark!).

-----Examples-----
Sample Input 1:
3 10 13
John
Kelly
George
Kelly 1
George 2
Kelly 1
John 2
George 1
John 3
Kelly 3
Kelly 1
George 3
George 1
John 3
George 3
Kelly 1
Sample Output 1:
George wins!

Sample Input 2:
4 10 13
Bob
Nina
Jess
Tim
Nina 2
Bob 2
Nina 1
Jess 3
Bob 2
Jess 2
Nina 1
Jess 2
Nina 3
Bob 1
Nina 3
Jess 3
Bob 2
Sample Output 2:
Nina wins!
Jess wins!
user: You have a fence post located at the point $(x, y)$ in the plane, to which a goat is tethered by a rope. You also have a house, which you model as an axis-aligned rectangle with diagonally opposite corners at the points $(x_1, y_1)$ and $(x_2, y_2)$. You want to pick a length of rope that guarantees the goat cannot reach the house.

Determine the minimum distance from the fence post to the house, so that you can make sure to use a shorter rope.

-----Input-----
The input consists of a single line containing six space-separated integers $x$, $y$, $x_1$, $y_1$, $x_2$, and $y_2$, each in the range $[-999, 999]$.

It is guaranteed that $x_1 < x_2$ and $y_1 < y_2$, and that $(x, y)$ is strictly outside the axis-aligned rectangle with corners at $(x_1, y_1)$ and $(x_2, y_2)$.

-----Output-----
Print the minimum distance from the goat’s post to the house, with a relative or absolute error no more than $0.001$.

-----Examples-----
Sample Input 1:
7 3 0 0 5 4
Sample Output 1:
2.0

Sample Input 2:
6 0 0 2 7 6
Sample Output 2:
2.0
user: Your program will be given an integer X. Find the smallest number larger than X consisting of the same digits as X.

-----Input-----
The first line of input contains the integer $X$ ($1 \le X \le 999999$). The first digit in $X$ will not be a zero.

-----Output-----
Output the result on a single line. If there is no such number, output $0$.

-----Examples-----
Sample Input 1:
156
Sample Output 1:
165

Sample Input 2:
330
Sample Output 2:
0
user: Professor Zac is trying to finish a collection of tasks during the first week at the start of the term. He knows precisely how long each task will take, down to the millisecond. Unfortunately, it is also Frosh Week. Zac’s office window has a clear view of the stage where loud music is played. He cannot focus on any task when music is blaring.

The event organizers are also very precise. They supply Zac with intervals of time when music will not be playing. These intervals are specified by their start and end times down to the millisecond.

Each task that Zac completes must be completed in one quiet interval. He cannot pause working on a task when music plays (he loses his train of thought). Interstingly, the lengths of the tasks and quiet intervals are such that it is impossible to finish more than one task per quiet interval!

Given a list of times $t_ i$ (in milliseconds) that each task will take and a list of times $\ell _ j$ (in milliseconds) specifying the lengths of the intervals when no music is being played, what is the maximum number of tasks that Zac can complete?

-----Input-----
The first line of input contains a pair of integers $n$ and $m$, where $n$ is the number of tasks and $m$ is the number of time intervals when no music is played. The second line consists of a list of integers $t_1, t_2, \ldots , t_ n$ indicating the length of time of each task. The final line consists of a list of times $\ell _1, \ell _2, \ldots , \ell _ m$ indicating the length of time of each quiet interval when Zac is at work this week.

You may assume that $1 \leq n,m \leq 200000$ and $100000 \leq t_ i, \ell _ j \leq 199999$ for each task $i$ and each quiet interval $j$.

-----Output-----
Output consists of a single line containing a single integer indicating the number of tasks that Zac can accomplish from his list during this first week.

-----Examples-----
Sample Input 1:
5 4
150000 100000 160000 100000 180000
190000 170000 140000 160000
Sample Output 1:
4

Sample Input 2:
4 4
180000 185000 199999 100000
199999 180000 170000 120000
Sample Output 2:
3
user: Given two integers $A$ and $B$, $A$ modulo $B$ is the remainder when dividing $A$ by $B$. For example, the numbers $7$, $14$, $27$ and $38$ become $1$, $2$, $0$ and $2$, modulo $3$. Write a program that accepts $10$ numbers as input and outputs the number of distinct numbers in the input, if the numbers are considered modulo $42$.

-----Input-----
The input will contain 10 non-negative integers, each smaller than $1000$, one per line.

-----Output-----
Output the number of distinct values when considered modulo $42$ on a single line.

-----Explanation of Sample Inputs-----
In sample input $1$, the numbers modulo $42$ are $1, 2, 3, 4, 5, 6, 7, 8, 9$ and $10$.

In sample input $2$, all numbers modulo $42$ are $0$.

In sample input $3$, the numbers modulo $42$ are $39, 40, 41, 0, 1, 2, 40, 41, 0$ and $1$. There are $6$ distinct numbers.

-----Examples-----
Sample Input 1:
1
2
3
4
5
6
7
8
9
10
Sample Output 1:
10

Sample Input 2:
42
84
252
420
840
126
42
84
420
126
Sample Output 2:
1
user: Being educated in Computer Science and Mathematics is not always easy. Especially not if you have “friends” who repeatedly insist on showing you their new “proofs” that P equals NP, that the Riemann Hypothesis is true, and so on.

One of your friends recently claims to have found a fantastic new compression algorithm. As an example of its amazing performance, your friend has told you that every file in your precious collection of random bit strings after compression would be at most $b$ bits long! Naturally, you find this a bit hard to believe, so you want to determine whether it is even theoretically possible for this to be true.

Your collection of random bit strings consists of $N$ files, no two of which are identical, and each of which is exactly $1000$ bits long.

-----Input-----
The input consists of two integers $N$ ($1 \le N \le 10^{15}$) and $b$ ($0 \le b \le 50$), giving the number of files in your collection and the maximum number of bits a compressed file is allowed to have.

-----Output-----
Output a line containing either “yes” if it is possible to compress all the $N$ files in your collection into files of size at most $b$ bits, or “no” otherwise.

-----Examples-----
Sample Input 1:
13 3
Sample Output 1:
yes

Sample Input 2:
1 0
Sample Output 2:
yes
user: Recently, Pero has been into robotics, so he decided to make a robot that checks whether a deck of poker cards is complete.

He’s already done a fair share of work—he wrote a programme that recognizes the suits of the cards. For simplicity’s sake, we can assume that all cards have a suit and a number.

The suit of the card is one of the characters P, K, H, T, and the number of the card is an integer between $1$ and $13$. The robot labels each card in the format $TXY$ where $T$ is the suit and $XY$ is the number. If the card’s number consists of one digit, then $X = 0$. For example, the card of suit P and number $9$ is labelled P09.

A complete deck has $52$ cards in total—for each of the four suits there is exactly one card with a number between $1$ and $13$.

The robot has read the labels of all the cards in the deck and combined them into the string $S$. Help Pero finish the robot by writing a programme that reads the string made out of card labels and outputs how many cards are missing for each suit. If there are two exact same cards in the deck, output GRESKA (Croatian for ERROR).

-----Input-----
The first and only line of input contains the string $S$ ($1 \leq \left|S\right| \leq 1\ 000$), containing all the card labels.

-----Output-----
If there are two exact same cards in the deck, output “GRESKA”. Otherwise, the first and only line of output must consist of 4 space-separated numbers: how many cards of the suit P, K, H, T are missing, respectively.

-----Examples-----
Sample Input 1:
P01K02H03H04
Sample Output 1:
12 12 11 13

Sample Input 2:
H02H10P11H02
Sample Output 2:
GRESKA
user: Young Marin, now already a respectable star of Croatian cinematography, spends his free time looking out the window. Unfortunately for him, the same activity is also taken up by a few flies that have landed on his window and are looking into the distance. Marin immediately hurried to get his square racket for killing flies. At the same time, he wondered how many flies it is possible to kill in one shot. After trying to scare away the flies unsuccessfully for a few hours, he decided to ask for your help.

Marin has sent you a picture of his window, the dimensions being $R \times S$ pixels and has also told you the length of the side of the racket he uses to kill the flies, in pixels. Your task is to determine the maximal amount of flies that Marin could have killed in a single shot and mark one such shot in the picture.

-----Input-----
The first line of input contains three integers $R$, $S$ and $K$ ($3 \leq K \leq R$, $S \leq 100$) that denote the dimensions of Marin’s picture and the length of the side of the racket.

Each of the following $R$ lines contains $S$ characters that describe Marin’s picture. The picture’s pixels marked with ‘*’ denote the position of a fly, whereas all the other pixels are marked with ‘.’ and denote empty space. On his window, there is at least one fly that Marin can kill with his racket.

-----Output-----
The first line of output must contain the maximal number of flies Marin can kill in a single shot.

The folllowing $R$ lines must contain Marin’s picture, on it clearly marked a position of the racket that will ensure Marin kills as many flies as possible. The horizontal sides of the racket are denoted with a series of characters ‘-’ and the vertical ones with ‘|’, whereas angles are denoted with ‘+’. For a more detailed explanation, consult the sample tests.

Please note: Marin’s racket will affect only the flies located strictly inside the racket, and the racket must be located inside the window with all its parts. In other words, it is assumed that the flies located at the sides of the racket will have enough time to fly away.

-----Examples-----
Sample Input 1:
3 5 3
.....
.*.*.
.....
Sample Output 1:
1
+-+..
|*|*.
+-+..

Sample Input 2:
7 6 4
......
.*.*.*
......
.*.*..
..*...
..*...
*....*
Sample Output 2:
2
......
.*.*.*
+--+..
|*.|..
|.*|..
+--+..
*....*
user: You are given a five-card hand drawn from a standard $52$-card deck. The strength of your hand is the maximum value $k$ such that there are $k$ cards in your hand that have the same rank.

Compute the strength of your hand.

-----Input-----
The input will consist of a single line, with five two-character strings separated by spaces.

The first character in each string will be the rank of the card, and will be one of A23456789TJQK. The second character in the string will be the suit of the card, and will be one of CDHS.

You may assume all the strings are distinct.

-----Output-----
Output, on a single line, the strength of your hand.

-----Examples-----
Sample Input 1:
AC AD AH AS KD
Sample Output 1:
4

Sample Input 2:
2C 4D 4H 2D 2H
Sample Output 2:
3
user: Tetris is a popular computer game played in a field consisting of $C$ columns and an unlimited number of rows. In one move, one of the following seven pieces is dropped into the field:

When dropping a piece, the player is free to rotate the piece $90$, $180$ or $270$ degrees and to move it left or right, as long as the piece stays entirely in the field. The piece then falls until it settles on the bottom of the field or on already occupied squares. In our variant of Tetris the piece must fall so that all parts of the piece are on the bottom of the field or on already occupied squares. In other words, after the piece has fallen there may not be a free square such that some square above it is occupied.

For example, let the field be six columns wide with initial heights (the number of already occupied squares in each column) $2$, $1$, $1$, $1$, $0$ and $1$. Piece number $5$ can then be dropped into the field in five different ways:

You are given the initial heights of all columns and the figure to be dropped into the field.

Write a program that calculates the number of different ways to do this, i.e., the number of different field configurations that can be achieved by dropping the piece.

-----Input-----
The first line contains two integers $C$ and $P$, $1 \le C \le 100$, $1 \le P \le 7$, the number of columns and the number of the piece to be dropped.

The second line contains $C$ integers separated by single spaces, each between $0$ and $100$, inclusive. These are the initial heights of the columns.

-----Output-----
Output on a single line the number of different ways to drop the piece in the field.

-----Examples-----
Sample Input 1:
6 5
2 1 1 1 0 1
Sample Output 1:
5

Sample Input 2:
5 1
0 0 0 0 0
Sample Output 2:
7