meetforever/GRPO_CL huggingface dataset:
user: The teacher has sent an e-mail to her students with the following task: “Write a program that will determine and output the value of $X$ if given the statement:\[ X = \mathit{number}_1^{\mathit{pow}_1} + \mathit{number}_2^{\mathit{pow}_2} + \ldots + \mathit{number}_ N^{\mathit{pow}_ N} \]

and it holds that $\mathit{number}_1$, $\mathit{number}_2$ to $\mathit{number}_ N$ are integers, and $\mathit{pow}_1$, $\mathit{pow_2}$ to $\mathit{pow}_ N$ are one-digit integers.” Unfortunately, when the teacher downloaded the task to her computer, the text formatting was lost so the task transformed into a sum of $N$ integers:\[ X = P_1 + P_2 + \ldots + P_ N \]

For example, without text formatting, the original task in the form of $X = 21^2 + 125^3$ became a task in the form of $X = 212 + 1253$. Help the teacher by writing a program that will, for given $N$ integers from $P_1$ to $P_ N$ determine and output the value of $X$ from the original task.

-----Input-----
The first line of input contains the integer $N$ ($1 \leq N \leq 10$), the number of the addends from the task. Each of the following $N$ lines contains the integer $P_ i$ ($10 \leq P_ i \leq 9999$, $i = 1, \ldots , N$) from the task.

-----Output-----
The first and only line of output must contain the value of $X$ ($X \leq 1000000000$) from the original task.

-----Examples-----
Sample Input 1:
2
212
1253
Sample Output 1:
1953566

Sample Input 2:
5
23
17
43
52
22
Sample Output 2:
102
user: Mirko and Slavko bought a few liters of orange, apple and pineapple juice. They are now whipping up a non alcoholic cocktail following a recipe they found on the Internet. Sadly, they figured out too late that not only you should use recipes when making cocktails, you should also use them when planning how much juice to buy.

Write a program that will determine how much of each juice they will have leftover, after they make as much cocktail as possible, respecting the recipe.

-----Input-----
The first line contains three integers, $A$, $B$, $C$, ($1 \leq A, B, C \leq 500$), the amount of orange, apple and pineapple juice they bought, in liters.

The second line contains three integers, $I$, $J$, $K$, ($1 \leq I, J, K \leq 50$), the ratio of orange, apple and pineapple juice in the cocktail.

-----Output-----
The first and only line of output should contain three decimal numbers, the leftover amounts of each juice, in liters. Solutions with absolute or relative error $10^{-4}$ or smaller will be accepted.

-----Examples-----
Sample Input 1:
10 10 10
3 3 3
Sample Output 1:
0.000000 0.000000 0.000000

Sample Input 2:
9 9 9
3 2 1
Sample Output 2:
0.000000 3.000000 6.000000
user: Shortly before the programming contest started, Bjarki decided to update his computer. He didn’t notice anything strange until he started coding in his favorite editor, Bim (Bjarki IMproved). Usually when he’s writing in an editor and presses the backspace key a single character is erased to the left. But after the update pressing that key outputs the character <. He’s tested all the editors on his machine, Bmacs, Neobim, bjedit, NoteBjad++ and Subjark Text, but they all seem to have the same problem. He doesn’t have time to search the web for a solution, and instead decides to temporarily circumvent the issue with a simple program.

Help Bjarki write a program that takes as input the string that was written in the text editor, and outputs the string as Bjarki intended to write it. You can assume that Bjarki never intended to write the character <, and that Bjarki never pressed the backspace key in an empty line.

-----Input-----
One line containing the string that was written in the text editor. The length of the string is at most $10^6$, and it will only contain lowercase letters from the English alphabet as well as the character <.

-----Output-----
One line containing the string as Bjarki intended to write it.

-----Examples-----
Sample Input 1:
a<bc<
Sample Output 1:
b

Sample Input 2:
foss<<rritun
Sample Output 2:
forritun
user: Great scientific discoveries are often named by the last names of scientists that made them. For example, the most popular asymmetric cryptography system, RSA was discovered by Rivest, Shamir and Adleman. Another notable example is the Knuth-Morris-Pratt algorithm, named by Knuth, Morris and Pratt.

Scientific papers reference earlier works a lot and it’s not uncommon for one document to use two different naming conventions: the short variation (e.g. KMP) using only the first letters of authors last names and the long variation (e.g. Knuth-Morris-Pratt) using complete last names separated by hyphens.

We find mixing two conventions in one paper to be aesthetically unpleasing and would like you to write a program that will transform long variations into short.

-----Input-----
The first and only line of input will contain at most $100$ characters, uppercase and lowercase letters of the English alphabet and hyphen (‘-’ ASCII $45$). The first character will always be an uppercase letter. Hyphens will always be followed by an uppercase letter. All other characters will be lowercase letters.

-----Output-----
The first and only line of output should contain the appropriate short variation.

-----Examples-----
Sample Input 1:
Knuth-Morris-Pratt
Sample Output 1:
KMP

Sample Input 2:
Mirko-Slavko
Sample Output 2:
MS
user: Jake is learning how to play the card game Dominion. In Dominion, you can buy a variety of treasure, action, and victory point cards – at the end of the game, the player with the most victory points wins!

Each turn, each player draws $5$ cards and can use their action and treasure cards to obtain buying power in order to buy more cards. Since Jake is just starting out, he’s decided to buy only treasure and victory point cards.

There are $3$ kinds of victory cards in Dominion:
 - Province (costs $8$, worth $6$ victory points)
 - Duchy (costs $5$, worth $3$ victory points)
 - Estate (costs $2$, worth $1$ victory point)

And, there are $3$ kinds of treasure cards:
 - Gold (costs $6$, worth $3$ buying power)
 - Silver (costs $3$, worth $2$ buying power)
 - Copper (costs $0$, worth $1$ buying power)

At the start of Jake’s turn, he draws $5$ of these cards. Given the number of Golds, Silvers, and Coppers in Jake’s hand, calculate the best victory card and best treasure card he could buy that turn. Note that Jake can buy only one card.

-----Input-----
The input consists of a single test case on a single line, which contains three non-negative integers $G$, $S$, $C$ ($G + S + C \le 5$) indicating the number of Golds, Silvers, and Coppers Jake draws in his hand.

-----Output-----
Output the best victory card (Province, Duchy, or Estate) and the best treasure card (Gold, Silver, or Copper) Jake can buy this turn, separated with " or ", in this order. If Jake cannot afford any victory cards, output only the best treasure card he can buy.

-----Sample Explanation-----
In Sample Input $1$, Jake has $1$ Silver in his hand, which means he has $2$ buying power. This would allow him to either buy an Estate or a Copper.

-----Examples-----
Sample Input 1:
0 1 0
Sample Output 1:
Estate or Copper

Sample Input 2:
2 1 0
Sample Output 2:
Province or Gold
user: Lotte is competing in a programming contest. Her team has already solved $k$ out of the $n$ problems in the problem set, but as the problems become harder, she begins to lose focus and her mind starts to wander. 

She recalls hearing the judges talk about the difficulty of the problems, which they rate on an integer scale from $0$ to $100$, inclusive. In fact, one of the judges said that “the problem set has never been so tough, the average difficulty of the problems in the problem set is $d$!”

She starts thinking about the problems her team has solved so far, and comes up with an estimate $s$ for their average difficulty. In hope of gaining some motivation, Lotte wonders if she can use this information to determine the average difficulty of the remaining problems.

-----Input-----
The input consists of:
 - One line with two integers $n$ and $k$ ($2\leq n\leq 10^6$, $0 < k < n$), the total number of problems and the number of problems Lotte’s team has solved so far.
 - One line with two integers $d$ and $s$ ($0\leq d,s \leq 100$), the average difficulty of all the problems and Lotte’s estimate of the average difficulty of the problems her team has solved.

-----Output-----
Assuming Lotte’s estimate is correct, output the average difficulty of the unsolved problems, or “impossible” if the average difficulty does not exist. Your answer should have an absolute or relative error of at most $10^{-6}$.

-----Examples-----
Sample Input 1:
2 1
70 50
Sample Output 1:
90.00

Sample Input 2:
10 3
80 90
Sample Output 2:
75.7142857
user: Given a permutation $A = (a_1, a_2, \dots , a_ N)$ of the integers $1, 2, \dots , N$, we define the greedily increasing subsequence (GIS) in the following way.

Let $g_1 = a_1$. For every $i > 1$, let $g_ i$ be the leftmost integer in $A$ that is strictly larger than $g_{i-1}$. If there for a given $i$ is no such integer, we say that the GIS of the sequence is the sequence $(g_1, g_2, ..., g_{i - 1})$.

Your task is to, given a permutation $A$, compute the GIS of $A$.

-----Input-----
The first line of input contains an integer $1 \le N \le 10^6$, the number of elements of the permutation $A$. The next line contains $N$ distinct integers between $1$ and $N$, the elements $a_1, \dots , a_ N$ of the permutation $A$.

-----Output-----
First, output a line containing the length $l$ of the GIS of $A$. Then, output $l$ integers, containing (in order) the elements of the GIS.

-----Explanation of sample 1-----
In this case, we have the permutation $2, 3, 1, 5, 4, 7, 6$. First, we have $g_1 = 2$. The leftmost integer larger than $2$ is $3$, so $g_2 = 3$. The leftmost integer larger than $3$ is $5$ ($1$ is too small), so $g_3 = 5$. The leftmost integer larger than $5$ is $7$, so $g_4 = 7$. Finally, there is no integer larger than $7$. Thus, the GIS of $2, 3, 1, 5, 4, 7, 6$ is $2, 3, 5, 7$.

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

Sample Input 2:
5
1 2 3 4 5
Sample Output 2:
5
1 2 3 4 5
user: Every school morning Mirko is woken up by the sound of his alarm clock. Since he is a bit forgetful, quite often he leaves the alarm on on Saturday morning too. That’s not too bad though, since he feels good when he realizes he doesn’t have to get up from his warm and cozy bed.

He likes that so much that he would like to experience that on other days of the week too! His friend Slavko offered this simple solution: set his alarm clock $45$ minutes early, and he can enjoy the comfort of his bed, fully awake, for $45$ minutes each day.

Mirko decided to heed his advice, however his alarm clock uses $24$-hour notation and he has issues with adjusting the time. Help Mirko and write a program that will take one time stamp, in $24$-hour notation, and print out a new time stamp, $45$ minutes earlier, also in $24$-hour notation.

If you are unfamiliar with $24$-hour time notation yourself, you might be interested to know it starts with 0:00 (midnight) and ends with 23:59 (one minute before midnight).

-----Input-----
The first and only line of input will contain exactly two integers $H$ and $M$ $(0 \leq H \leq 23, 0 \leq M \leq 59)$ separated by a single space, the input time in $24$-hour notation. $H$ denotes hours and $M$ minutes.

-----Output-----
The first and only line of output should contain exactly two integers, the time $45$ minutes before input time.

-----Examples-----
Sample Input 1:
10 10
Sample Output 1:
9 25

Sample Input 2:
0 30
Sample Output 2:
23 45
user: Anthony is just now learning basic math, how exciting! He first learns about addition\[ a+n=a+\underbrace{1+1+\cdots +1}_ n, \]

then multiplication\[ a\times n=\underbrace{a+a+\cdots +a}_ n, \]

exponentiation\[ a^n=\underbrace{a\times a\times \cdots \times a}_ n. \]

and finally, tetration\[ ^na=\underbrace{a^{a^{\cdot ^{\cdot ^{\cdot ^{a}}}}}}_ n. \]

Very quickly, Anthony becomes interested in infinite tetrations, namely\[ ^\infty a={a^{a^{\cdot ^{\cdot ^{\cdot }}}}}. \]

Anthony wonders, given an arbitrary real number $N$, what is the solution to $^\infty a=N$? Unable to figure it out, Anthony has asked you to write a program to help him!

Here’s a fun fact: A solution only exists for $\frac{1}{e}\leq N\leq e$.

-----Input-----
The first line of input contains one real number $N$, $0.36788\leq N\leq 2.718281$.

-----Output-----
Output a single line containing a real number $a$, such that $^\infty a=N$. Your answer will be considered correct if its absolute or relative error doesn’t exceed $10^{-5}$.

-----Examples-----
Sample Input 1:
2.000000
Sample Output 1:
1.414214

Sample Input 2:
1.000000
Sample Output 2:
1.000000
user: The recent vote in Puerto Rico favoring United States statehood has made flag makers very excited. An updated flag with $51$ stars rather than the current one with $50$ would cause a huge jump in U.S. flag sales. The current pattern for $50$ stars is five rows of $6$ stars, interlaced with four offset rows of $5$ stars. The rows alternate until all stars are represented. 

    * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *

This pattern has the property that adjacent rows differ by no more than one star. We represent this star arrangement compactly by the number of stars in the first two rows: 6,5.

A $51$-star flag that has the same property can have three rows of $9$ stars, interlaced with three rows of $8$ stars (with a compact representation of 9,8). Conversely, if a state were to leave the union, one appealing representation would be seven rows of seven stars (7,7).

A flag pattern is visually appealing if it satisfies the following conditions:
 - Every other row has the same number of stars.
 - Adjacent rows differ by no more than one star.
 - The first row cannot have fewer stars than the second row.

Your team sees beyond the short-term change to $51$ for the US flag. You want to corner the market on flags for any union of three or more states. Given the number $S$ of stars to draw on a flag, find all possible visually appealing flag patterns.

-----Input-----
The input consists of a single line containing the integer $S$ ($3\le S\le 32767$).

-----Output-----
On the first line, print $S$, followed by a colon. Then, for each visually appealing flag of $S$ stars, print its compact representation, one per line.

This list of compact representations should be printed in increasing order of the number of stars in the first row; if there are ties, print them in order of the number of stars in the second row. The cases $1$-by-$S$ and $S$-by-$1$ are trivial, so do not print those arrangements.

The compact representations must be printed in the form “x,y”, with exactly one comma between x and y and no other characters.

-----Examples-----
Sample Input 1:
3
Sample Output 1:
3:
2,1

Sample Input 2:
50
Sample Output 2:
50:
2,1
2,2
3,2
5,4
5,5
6,5
10,10
13,12
17,16
25,25
user: There is a game in which you try not to repeat a word while your opponent tries to see if you have repeated one.

"THE RAIN IN SPAIN" has no repeats.

"IN THE RAIN AND THE SNOW" repeats THE.

"THE RAIN IN SPAIN IN THE PLAIN" repeats THE and IN.

Write a program to test a phrase.

-----Input-----
Input is a line containing words separated by single spaces, where a word consists of one or more uppercase letters. A line contains no more than $80$ characters.

-----Output-----
The output is "yes" if no word is repeated, and "no" if one or more words repeat.

-----Examples-----
Sample Input 1:
THE RAIN IN SPAIN
Sample Output 1:
yes

Sample Input 2:
IN THE RAIN AND THE SNOW
Sample Output 2:
no
user: A terrible monster is rampaging through Neo Tokyo 5! The Earth Defense Force (EDF) has sent a mech unit1 to defeat the monster. Because there is only a single mech unit available after previous monster rampages, the EDF has decided to simulate the upcoming battle between the mech and the monster before launching an assault. The EDF noted that the monster’s attack pattern can be simulated by a series of moves that it performs in succession. When denoting each of its moves with a single letter, the attack pattern can be simulated as a single string, which should be read from left to right. The monster has the following moves:
 - Rake, denoted by the letter ‘R’;
 - Bite, denoted by the letter ‘B’;
 - Laser breath, denoted by the letter ‘L’.

In order to defeat the monster, the mech must perform a counter move per move that the monster makes:
 - Slice, denoted by the letter ‘S’, counters the monster’s rake;
 - Kick, denoted by the letter ‘K’, counters the monster’s bite;
 - Shield, denoted by the letter ‘H’, counters the monster’s laser breath;

However, there is one catch. When the monster performs a subsequent combination of the three moves Rake, Bite and Laser breath, in any order, it becomes a very powerful attack for which the mech must perform a single counter move called Combo breaker, denoted by the letter ‘C’. A single Combo breaker absorbs the entire combination of three moves. Any following moves from the monster will have to be countered separately or as part of a new combination. A move of the monster can never be part of more than one combination.

Through extensive analysis of the monster’s past behaviour, the EDF is now able to reliably predict the actions of the monster ahead of time. You are given a string representing the moves that the monster will use when battling the mech. The EDF needs you to write a program that outputs the sequence of moves that the mech must perform in order to defeat the monster.

-----Input-----
A single line containing a string of at least $1$ and at most $1000000$ characters, consisting of the letters ‘R’, ‘B’ and ‘L’.

-----Output-----
Output a single string consisting of the letters denoting the moves that are to be made in succession by the mech in order to defeat the monster.

-----Examples-----
Sample Input 1:
RRBBBLLR
Sample Output 1:
SSKKKHHS

Sample Input 2:
RBLLLBRR
Sample Output 2:
CHCS
user: According to Wikipedia, FizzBuzz is a group word game for children to teach them about division. This may or may not be true, but this question is generally used to torture screen young computer science graduates during programming interviews. 

Basically, this is how it works: you print the integers from $1$ to $N$, replacing any of them divisible by $X$ with Fizz or, if they are divisible by $Y$, with Buzz. If the number is divisible by both $X$ and $Y$, you print FizzBuzz instead.

Check the samples for further clarification.

-----Input-----
Input contains a single test case. Each test case contains three integers on a single line, $X$, $Y$ and $N$ ($1 \leq X < Y \leq N \leq 100$).

-----Output-----
Print integers from $1$ to $N$ in order, each on its own line, replacing the ones divisible by $X$ with Fizz, the ones divisible by $Y$ with Buzz and ones divisible by both $X$ and $Y$ with FizzBuzz.

-----Examples-----
Sample Input 1:
2 3 7
Sample Output 1:
1
Fizz
Buzz
Fizz
5
FizzBuzz
7

Sample Input 2:
2 4 7
Sample Output 2:
1
Fizz
3
FizzBuzz
5
Fizz
7
user: Yraglac really hates early winter. So he was greatly annoyed when it snowed early this year. His friend however claimed that summer is always too short in Galcary so there’s nothing to complain about.

Yraglac doesn’t believe his friend. So he decides to look up the historical weather report for the past $n$ years to figure out when it usually starts snowing. For each year in the past $n$ years, the historical weather report records $d_ i$, the number of days between the end of summer and the first day of snow on the $i^\textrm {th}$ year. You may assume it never snows during summer in Galcary, as that would be absurd.

Given the historical data, Yraglac would like to know the number of consecutive years right before the current year with a larger gap between the end of summer and the first day of snow. More formally, suppose the current year is $m$. Then he’d like to determine the largest integer $k$ for which $d_{m-1}, d_{m-2},\ldots ,d_{m-k}> d_ m$, or determine that it had never snowed this early in the last $n$ years.

-----Input-----
The first line of the input contains two integers $n$ and $d_ m$. It is guaranteed that $1\leq n\leq 100$ and $0\leq d_ m\leq 100$.

The next line of the input contains $n$ integers. The $i^\textrm {th}$ integer denotes $d_{m-i}$. It is guaranteed that $0\leq d_{m-i}\leq 100$.

-----Output-----
If there exists an integer $k$ for which $d_{m-k}\leq d_ m$, print “It hadn’t snowed this early in $k$ years!” (without quotes). Otherwise, print “It had never snowed this early!” (without quotes).

-----Examples-----
Sample Input 1:
4 2
3 3 3 2
Sample Output 1:
It hadn't snowed this early in 3 years!

Sample Input 2:
2 10
0 100
Sample Output 2:
It hadn't snowed this early in 0 years!
user: Coconut Splat is one of Theta’s favorite counting-out games. It goes like this: initially, all players stand in a circle with their hands folded together (like an intact coconut). In clockwise order, one player touches the hands of the other players and says the rhyme: “Co-co-nut, Co-co-nut, Co-co-nut, Splat!” At each syllable, the player touches a hand, and the player whose hand or hands is touched last takes one of the following actions:
 - If the player’s hands are still folded, they are split into two fists (the coconut is cracked in two halves). The next round starts with the fist that is the first half of the coconut, then the second half, then going to the next player.
 - If a fist is touched last, the hand is turned palm down (the milk spills out). The next round starts with the next hand in clockwise order, which could be the other hand of the same player, or it could be the hand or folded hands belonging to the next player.
 - If a hand that is already turned palm down is touched last, the player to whom it belongs puts the hand behind their back and this hand won’t be counted in the following rounds. The next round starts with the next hand in clockwise order as in the previous case.
 - If a player has put both of their hands behind their back, that player is out of the game. The game ends when there is only one player left.

The hand or hands of the player doing the counting are taken into account (for instance, the counting player touches their thigh when it would be her turn to be touched).

There are variations of this game, for instance, some kids say “Coconut, coconut, crack your nut!” instead, which has only $9$ instead of $10$ syllables as in the “Co-co-nut, Co-co-nut, Co-co-nut, Splat!” rhyme.

There are $n$ players, and counting always starts with the folded hands of player $1$. For instance, in the first round, if the rhyme has $3$ syllables, player $3$ would be the one to first crack their coconut into two fists.

Write a program that determines the winner of the counting-out game based on the number of players and based on the number of syllables in the rhyme that is used!

-----Input-----
The input consists of a single test case with two numbers $s$ ($0 < s \le 100$) and $n$ ($2 \le n \le 100$) denoting the number of syllables in the rhyme and the number of players, respectively.

-----Output-----
Output a single integer $p$ ($1 \le p \le n$), the number of the player who is left.

-----Examples-----
Sample Input 1:
10 2
Sample Output 1:
2

Sample Input 2:
10 10
Sample Output 2:
7