meetforever/GRPO_CL huggingface dataset:
user: The management of the software company JunkCode has recently found, much to their surprise and disappointment, that productivity has gone down since they implemented their enhanced set of coding guidelines. The idea was that all developers should make sure that every code change they push to the master branch of their software repository strictly follows the coding guidelines. After all, one of the developers, Perikles, has been doing this since long before these regulations became effective so how hard could it be? 

Rather than investing a lot of time figuring out why this degradation in productivity occurred, the line manager suggests that they loosen their requirement: developers can push code that weakly violates the guidelines as long as they run cleanup phases on the code from time to time to make sure the repository is tidy.

She suggests a metric where the “dirtiness” of a developer’s code is the sum of the pushes that violate the guidelines – so-called dirty pushes – made by that developer, each weighted by the number of days since it was pushed. The number of days since a dirty push is a step function that increases by one each midnight following the push. Hence, if a developer has made dirty pushes on days $1$, $2$, and $5$, the dirtiness on day $6$ is $5+4+1=10$. She suggests that a cleanup phase, completely fixing all violations of the coding guidelines, must be completed before the dirtiness reaches $20$. One of the developers, Petra, senses that this rule must be obeyed not only because it is a company policy. Breaking it will also result in awkward meetings with a lot of concerned managers who all want to know why she cannot be more like Perikles? Still, she wants to run the cleanup phase as seldomly as possible, and always postpones it until it is absolutely necessary. A cleanup phase is always run at the end of the day and fixes every dirty push done up to and including that day. Since all developers are shuffled to new projects at the start of each year, no dirtiness should be left after midnight at the end of new year’s eve.

-----Input-----
The first line of input contains an integer $n$ ($1 \leq n \leq 365$), the number of dirty pushes made by Petra during a year. The second line contains $n$ integers $d_1, d_2, \ldots , d_ n$ ($1 \leq d_ i \leq 365$ for each $1 \le i \le n$) giving the days when Petra made dirty pushes. You can assume that $d_ i < d_ j$ for $i < j$.

-----Output-----
Output the total number of cleanup phases needed for Petra to keep the dirtiness strictly below $20$ at all times.

-----Examples-----
Sample Input:
5
1 45 65 84 346
Sample Output:
4
user: We’re building an old-school back-to-basics computer game. It’s a very simple text based adventure game where you walk around and try to find treasure, avoiding falling into traps. The game is played on a rectangular grid and the player gets very limited information about her surroundings.

The game will consist of the player moving around on the grid for as long as she likes (or until she falls into a trap). The player can move up, down, left and right (but not diagonally). She will pick up gold if she walks into the same square as the gold is. If the player stands next to (i.e., immediately up, down, left, or right of) one or more traps, she will “sense a draft” but will not know from what direction the draft comes, or how many traps she’s near. If she tries to walk into a square containing a wall, she will notice that there is a wall in that direction and remain in the position where she was.

For scoring purposes, we want to show the player how much gold she could have gotten safely. That is, how much gold can a player get playing with an optimal strategy and always being sure that the square she walked into was safe. The player does not have access to the map and the maps are randomly generated for each game so she has no previous knowledge of the game.

-----Input-----
The first line of input contains two positive integers $W$ and $H$, neither of them smaller than $3$ or larger than $50$, giving the width and the height of the map, respectively. The next $H$ lines contain $W$ characters each, giving the map. The symbols that may occur in a map are as follows:

P

the player’s starting position

G

a piece of gold

T

a trap

#

a wall

.

normal floor

There will be exactly one ’P’ in the map, and the border of the map will always contain walls.

-----Output-----
Output the number of pieces of gold the player can get without risking falling into a trap.

-----Examples-----
Sample Input:
7 4
#######
#P.GTG#
#..TGG#
#######
Sample Output:
1
user: Pubnite is an epic battle royale game featuring unique gameplay mechanics such as dancing! Every player enjoys dancing in the middle of fierce and brutal tactical firefights.

This unique feature has made Pubnite the second most popular game on the internet, next to none but BeeLizard’s first person shooter game OvalWatch! Epig Games, the developer of Pubnite, is thinking of pulling one last trick to outsell OverWatch, and defeat its competitor, BeeLizard, once and for all.

Announcing Epig Games’s new limited-time global event: Epig Dance Off!

In Epig Dance Off, players can invent dance moves, videotape themselves dancing and submit their dance moves to Epig Games, where Epig Games will rate the moves. At the end of the event, Epig Games will announce the moves with the best ratings, and incorporate those dance moves into the game. The inventors of the moves will be crowned Supreme Winners of Epig Dance Off, and there is no greater glory than that.

Epig Games ran into an issue. Too many players are eager to join the Epig Dance Off and there are too many submissions to rate. The incredibly smart designers at Epig Games came up with yet another ingenious idea – they shall use software to determine the rating of a dance!

Having not enough engineering power at Epig Games, they have hired an intern – you – to write software that rates a dance!

The rating system is designed as follows: Each dance is composed of a sequence of moves. The rating of the dance is the number of moves performed in the sequence.

The dance is described by a grid with $N$ rows and $M$ columns. Each character in the grid is either a ‘$’, denoting the dancer is seen in this position, or a ‘_’, denoting the dancer is not seen in this position. When there is a single blank column, that denotes a frame is completed and the dancer has completed one move, where a blank column is defined to contain only ‘_’.

-----Input-----
The first line contains two integers $N$ and $M$. It is guaranteed that $1\leq N, M\leq 2000$.

The next $N$ lines contains $M$ characters each. It is guaranteed that each character is either ‘_’or ‘$’. It is also guaranteed that both the first and last columns are non-blank, and no two consecutive columns are both blank.

-----Output-----
Output a single integer $T$, the rating of the dance, i.e. number of dance moves in the recording.

-----Examples-----
Sample Input:
13 50
____$$$_______$$$______$$$________$$$______$$$____
____$$$_______$$$______$$$________$$$______$$$____
_____$_________$________$__________$________$_____
___$_$_$_____$_$_$____$_$_$______$_$_$____$_$_$___
__$__$_$____$__$__$___$_$__$____$__$__$___$_$__$__
_$____$$____$__$__$___$$____$___$__$__$___$$____$_
$_____$$___$___$___$__$$_____$_$___$___$__$$_____$
_____$_$______$_$_____$_$_________$_$_____$_$_____
____$___$____$___$____$___$______$___$____$___$___
___$____$___$_____$___$____$____$_____$___$____$__
__$_____$___$_____$___$_____$___$_____$___$_____$_
__$_____$___$_____$___$_____$___$_____$___$_____$_
_$$_____$$_$$_____$$_$$_____$$_$$_____$$_$$_____$$
Sample Output:
5
user: Ancay youyay eakspay igpay atinlay? (Can you speak pig latin?) If you can’t, here are the rules:
 - If a word begins with a consonant, take all of the letters before the first vowel and move them to the end of the word, then add ay to the end of the word. Examples: pig $\to $ igpay, there$\to $ erethay.
 - If a word begins with a vowel (a, e, i, o, u, or y), simply add yay to the end of the word. For this problem, y is always a vowel. Examples: and $\to $ andyay, ordinary$\to $ ordinaryyay.

Although there are many variants of Pig Latin (such as Kedelkloppersprook in Germany), for this problem we will always use the rules described above.

A friend of yours was frustrated with everyone writing in Pig Latin and has asked you to write a program to translate to Pig Latin for him. Ouldway youyay ebay osay indkay otay oday ityay? (Would you be so kind to do it?)

-----Input-----
Input consists of $1$ to $4000$ lines, ending at end of file. Each line contains up to $100$ words, each word up to $30$ characters long, using only the characters a–z (lowercase). Every word contains at least one vowel, and adjacent words are separated by a single space. No punctuation or special characters will appear in the input.

-----Output-----
Your program should output the text translated to Pig Latin using the rules described above.

-----Examples-----
Sample Input:
i cant speak pig latin
Sample Output:
iyay antcay eakspay igpay atinlay
user: As a Swede, you hold a deep love for the traditional Thursday lunch of pea soup and pancakes. You love it so much, in fact, that you will eat it any meal it is available. You find yourself looking at the menus for all your favorite restaurants every day to see if this combination is available, and realized you can do this more easily with a program. Given a list of restaurant menus, decide where to eat. 

-----Input-----
The first line of input contains a number $n$ ($1 \le n \le 10$), the number of restaurants. Then follow the $n$ restaurant menus. Each menu starts with a line containing a number $k$ ($1 \le k \le 10$), the number of menu items for the day. The remainder of the menu consists of $k + 1$ lines, each containing a nonempty string of at most $100$ characters. The first of these lines is the restaurant name, and the rest are menu items. Strings consist only of lower case letters ‘a’-‘z’ and spaces, and they always start and end with a letter. All restaurant names are unique.

-----Output-----
Output a single line. If at least one restaurant has both “pea soup” and “pancakes” as menu items, output the name of the first of those restaurants, by the order in which the restaurants appear in the input. Otherwise, output “Anywhere is fine I guess”.

-----Examples-----
Sample Input:
2
2
q
potatoes
salad
3
nymble
pancakes
pea soup
punsch
Sample Output:
nymble
user: A worm is at the bottom of a pole. It wants to reach the top, but it is too lazy to climb to the top without stopping. It can crawl up the pole a certain number of inches at a time, falling down a lesser number of inches right after while it rests. How many times does the worm need to crawl up in order to reach the top of the pole?

-----Input-----
The input consists of a single line that contains three integers $a, b$ ($0 \leq b < a \leq 100$), and $h$, ($0 < h \leq 100000$) indicating the amount $a$ of inches the worm can climb at a time, the amount $b$ of inches the worm falls during its resting period, and the height $h$ of the pole, respectively. For the purposes of this problem, the worm is modeled as a point and thus has no length.

-----Output-----
Output the number of times the worm must crawl up in order to reach the top of the pole.

-----Examples-----
Sample Input:
5 0 15
Sample Output:
3
user: The number $S$ is called the mean of two numbers $R_1$ and $R_2$ if $S$ is equal to $(R_1+R_2)/2$. Mirko’s birthday present for Slavko was two integers $R_1$ and $R_2$. Slavko promptly calculated their mean which also happened to be an integer but then lost $R_2$! Help Slavko restore $R_2$.

-----Input-----
The first and only line of input contains two integers $R_1$ and $S$, both between $-1000$ and $1000$.

-----Output-----
Output $R_2$ on a single line.

-----Examples-----
Sample Input:
11 15
Sample Output:
19
user: A startup company tries to develop software for self-driving cars. One of the surprisingly difficult problems turns out to be right-of-way at an intersection. The local traffic regulations prescribe that your vehicle must yield the right-of-way if one of the following two conditions is satisfied:
 - You want to pass straight through the intersection; another vehicle is approaching from your right.
 - You want to turn left at the intersection; another vehicle is approaching from the opposite direction or from your right.

Note that it is not important in which direction the other vehicle wants to leave the intersection.

Write a program that decides if your car should yield the right-of-way to the other vehicle.

-----Input-----
Three strings $a,b,c \in \{ \text {North},\text {South},\text {East},\text {West}\} $, corresponding to the direction from which you arrive, the direction in which you want to leave, and the direction from which the other vehicle approaches. You can assume $a \neq b$ and $a \neq c$.

-----Output-----
A single line with the string “Yes” or “No” as explained above.

-----Explanation of Sample $1$-----$1$
In this example, you arrive from South and want to turn left to leave towards West. The other vehicle comes from East, which corresponds to your right. Consequently, you have to yield the right-of-way to the other vehicle because of condition $2$.

-----Examples-----
Sample Input:
South West East
Sample Output:
Yes
user: John likes simple ciphers. He had been using the “Caesar” cipher to encrypt his diary until recently, when he learned a hard lesson about its strength by catching his sister Mary browsing through the diary without any problems.

Rapidly searching for an alternative, John found a solution: the famous “Autokey” cipher. He uses a version that takes the $26$ lower-case letters ‘a’–‘z’ and internally translates them in alphabetical order to the numbers $0$ to $25$.

The encryption key $k$ begins with a secret prefix of $n$ letters. Each of the remaining letters of the key is copied from the letters of the plaintext $a$, so that $k_{n+i} = a_{i}$ for $i \geq 1$. Encryption of the plaintext $a$ to the ciphertext $b$ follows the formula $b_ i = a_ i + k_ i \bmod 26$.

Mary is not easily discouraged. She was able to get a peek at the last $n$ letters John typed into his diary on the family computer before he noticed her, quickly encrypted the text document with a click, and left. This could be her chance.

-----Input-----
The input consists of:
 - One line with two integers $n$ and $m$ ($1 \le n \le 30$, $n + 1 \le m \le 100$), where $n$ is the length of the keyword as well as the number of letters Mary saw, and $m$ is the length of the text.
 - One line with $n$ lower-case letters, the last $n$ letters of the plaintext.
 - One line with $m$ lower-case letters, the whole ciphertext.

-----Output-----
Output the plaintext of John’s diary.

-----Examples-----
Sample Input:
5 16
again
pirpumsemoystoal
Sample Output:
marywasnosyagain
user: Your friend has secretly picked $N$ consecutive positive integers between $1$ and $100$, and wants you to guess if their sum is even or odd.

If the sum must be even, output ‘Even’. If the sum must be odd, output ‘Odd’. If the sum could be even or could be odd, output ‘Either’.

-----Input-----
The input is a single integer $N$ with $1 \le N \le 10$.

-----Output-----
Output a single word. The word should be ‘Even’, ‘Odd’, or ‘Either’, according to the rules given earlier.

-----Examples-----
Sample Input:
1
Sample Output:
Either
user: Let’s face it... you are not that handy. When you need to make a major home repair, you often need to hire someone to help. When they come for the first visit, they make an estimate of the cost. Here they must be careful: if they overestimate the cost, it might scare you off, but if they underestimate, the work might not be worth their time.

Because the worker is so careful, it can take a long time for them to produce the estimate. But that’s frustrating — when you ask for an estimate, you really are asking for the magnitude of the cost. Will this be $$10$ or $$100$ or $$1000$? That’s all you really want to know on a first visit.

Please help the worker make the type of estimate you desire. Write a program that, given the worker’s estimate, reports just the magnitude of the cost — the number of digits needed to represent the estimate.

-----Input-----
Input begins with a line containing an integer $N$ ($1 \le N \le 100$). The next $N$ lines each contain one estimated cost, which is an integer between $0$ and $10^{100}$. (Some of the workers overcharge quite a bit.)

-----Output-----
For each estimated cost, output the number of digits required to represent it.

-----Examples-----
Sample Input:
5
314
1
5926
5
35897
Sample Output:
3
1
4
1
5
user: By now you have probably heard that there is a spectacular stone sculpture featuring four famous U.S. presidents at Mount Rushmore. However, very few people know that this monument contains a secret chamber. This sounds like something out of a plot of a Hollywood movie, but the chamber really exists. It can be found behind the head of Abraham Lincoln and was designed to serve as a Hall of Records to store important historical U.S. documents and artifacts. Historians claim that the construction of the hall was halted in 1939 and the uncompleted chamber was left untouched until the late 1990s, but this is not the whole truth. 

In 1982, the famous archaeologist S. Dakota Jones secretly visited the monument and found that the chamber actually was completed, but it was kept confidential. This seemed suspicious and after some poking around, she found a hidden vault and some documents inside. Unfortunately, these documents did not make any sense and were all gibberish. She suspected that they had been written in a code, but she could not decipher them despite all her efforts.

Earlier this week when she was in the area to follow the ACM-ICPC World Finals, Dr. Jones finally discovered the key to deciphering the documents, in Connolly Hall of SDSM&T. She found a document that contains a list of translations of letters. Some letters may have more than one translation, and others may have no translation. By repeatedly applying some of these translations to individual letters in the gibberish documents, she might be able to decipher them to yield historical U.S. documents such as the Declaration of Independence and the Constitution. She needs your help.

You are given the possible translations of letters and a list of pairs of original and deciphered words. Your task is to verify whether the words in each pair match. Two words match if they have the same length and if each letter of the first word can be turned into the corresponding letter of the second word by using the available translations zero or more times.

-----Input-----
The first line of input contains two integers $m$ ($1 \le m \le 500$) and $n$ ($1 \le n \le 50$), where $m$ is the number of translations of letters and $n$ is the number of word pairs. Each of the next $m$ lines contains two distinct space-separated letters $a$ and $b$, indicating that the letter $a$ can be translated to the letter $b$. Each ordered pair of letters $(a, b)$ appears at most once. Following this are $n$ lines, each containing a word pair to check. Translations and words use only lowercase letters ‘a’–‘z’, and each word contains at least $1$ and at most $50$ letters.

-----Output-----
For each pair of words, display yes if the two words match, and no otherwise.

-----Examples-----
Sample Input:
9 5
c t
i r
k p
o c
r o
t e
t f
u h
w p
we we
can the
work people
it of
out the
Sample Output:
yes
no
no
yes
yes
user: Carrots are good for you! First of all, they give you good night vision. Instead of having your lights on at home, you could eat carrots and save energy! Ethnomedically, it has also been shown that the roots of carrots can be used to treat digestive problems. In this contest, you also earn a carrot for each difficult problem you solve, or huffle-puff problems as we prefer to call them. 

You will be given the number of contestants in a hypothetical contest, the number of huffle-puff problems that people solved in the contest and a description of each contestant. Now, find the number of carrots that will be handed out during the contest.

-----Input-----
Input starts with two integers $1 \le N, P \le 1000$ on a single line, denoting the number of contestants in the contest and the number of huffle-puff problems solved in total. Then follow $N$ lines, each consisting of a single non-empty line in which the contestant describes him or herself. You may assume that the contestants are good at describing themselves, in a way such that an arbitrary 5-year-old with hearing problems could understand it.

-----Output-----
Output should consist of a single integer: the number of carrots that will be handed out during the contest.

-----Examples-----
Sample Input:
2 1
carrots?
bunnies
Sample Output:
1
user: Your task is to read a picture of a chessboard position and print it in the chess notation.

-----Input-----
The input consists of an ASCII-art picture of a chessboard with chess pieces on positions described by the input. The pieces of the white player are shown in upper-case letters, while the black player’s pieces are lower-case letters. The letters are one of “K” (King), “Q” (Queen), “R” (Rook), “B” (Bishop), “N” (Knight), or “P” (Pawn). The chessboard outline is made of plus (“+”), minus (“-”), and pipe (“|”) characters. The black fields are filled with colons (“:”), white fields with dots (“.”).

-----Output-----
The output consists of two lines. The first line consists of the string “White: ”, followed by the description of positions of the pieces of the white player. The second line consists of the string “Black: ”, followed by the description of positions of the pieces of the black player.

The description of the position of the pieces is a comma-separated list of terms (without any spaces) describing the pieces of the appropriate player. The description of a piece consists of a single upper-case letter that denotes the type of the piece (except for pawns, for that this identifier is omitted). This letter is immediatelly followed by the position of the piece in the standard chess notation – a lower-case letter between “a” and “h” that determines the column (“a” is the leftmost column in the input) and a single digit between $1$ and $8$ that determines the row ($8$ is the first row in the input).

The pieces in the description must appear in the following order: Kings (“K”), Queens (“Q”), Rooks (“R”), Bishops (“B”), Knights (“N”), and pawns.

Note that the numbers of pieces may differ from the initial position, and might not even correspond to a situation that could arise in a valid chess game.

In case two pieces of the same type appear in the input, the piece with the smaller row number must be described before the other one if the pieces are white, and the one with the larger row number must be described first if the pieces are black. If two pieces of the same type appear in the same row, the one with the smaller column letter must appear first.

-----Examples-----
Sample Input:
+---+---+---+---+---+---+---+---+
|.r.|:::|.b.|:q:|.k.|:::|.n.|:r:|
+---+---+---+---+---+---+---+---+
|:p:|.p.|:p:|.p.|:p:|.p.|:::|.p.|
+---+---+---+---+---+---+---+---+
|...|:::|.n.|:::|...|:::|...|:p:|
+---+---+---+---+---+---+---+---+
|:::|...|:::|...|:::|...|:::|...|
+---+---+---+---+---+---+---+---+
|...|:::|...|:::|.P.|:::|...|:::|
+---+---+---+---+---+---+---+---+
|:P:|...|:::|...|:::|...|:::|...|
+---+---+---+---+---+---+---+---+
|.P.|:::|.P.|:P:|...|:P:|.P.|:P:|
+---+---+---+---+---+---+---+---+
|:R:|.N.|:B:|.Q.|:K:|.B.|:::|.R.|
+---+---+---+---+---+---+---+---+
Sample Output:
White: Ke1,Qd1,Ra1,Rh1,Bc1,Bf1,Nb1,a2,c2,d2,f2,g2,h2,a3,e4
Black: Ke8,Qd8,Ra8,Rh8,Bc8,Ng8,Nc6,a7,b7,c7,d7,e7,f7,h7,h6