meetforever/GRPO_CL huggingface dataset:
user: Luka is fooling around in chemistry class again! Instead of balancing equations he is writing coded sentences on a piece of paper. Luka modifies every word in a sentence by adding, after each vowel (letters ’a’, ’e’, ’i’, ’o’ and ’u’), the letter ’p’ and then that same vowel again. For example, the word “kemija” becomes “kepemipijapa” and the word “paprika” becomes “papapripikapa”. The teacher took Luka’s paper with the coded sentences and wants to decode them.

Write a program that decodes Luka’s sentence.

-----Input-----
The coded sentence will be given on a single line. The sentence consists only of lowercase letters of the English alphabet and spaces. The words will be separated by exactly one space and there will be no leading or trailing spaces. The total number of character will be at most 100.

-----Output-----
Output the decoded sentence on a single line.

-----Examples-----
Sample Input:
zepelepenapa papapripikapa
Sample Output:
zelena paprika
user: Hello from the future. I am a time traveller. You would think that in the future we have agreed to use a single scale for measuring temperature. This is not so. In fact, we have all sorts of scales now. All the big brands have made their own. This is a bit confusing. Please help me figure it out. In my day to day work I have to relate to two different scales $A$ and $B$. Help me find a temperature where the two scales are the same, so I don’t have to worry about it.

-----Input-----
Input consists of two space-separated integers, $X$ and $Y$. $X$ is the point on $B$ where $A$ is zero. $Y$ is the number of degrees in $B$ that equal a change of a single degree in $A$.

-----Output-----
Output the temperature where both scales are the same. This number must have an absolute or relative error of at most $10^{-6}$. If no such temperature exists, output “IMPOSSIBLE” (without the quotes) instead. If more than one such point exists, output “ALL GOOD” (without the quotes) instead.

-----Limits-----
 - $-100 \leq X \leq 100$
 - $1 \leq Y \leq 100$

-----Examples-----
Sample Input:
32 2
Sample Output:
-32
user: In a nearby village, the postman, milkman and garbage man face the same problem morning after morning: house 18. House 18 is guarded by two dogs that often cause problems. What they don’t know is that the dogs’ behaviour is completely predictable.

When the day starts, one dog is aggressive for $A$ minutes and is then calm for $B$ minutes. Similarly, the other dog is aggressive for $C$ minutes, then calm for $D$ minutes. Both dogs repeat their behaviours indefinitely, starting a new aggressive period after the calm period, then another calm period etc.

Given the arrival times of the postman, milkman and garbage man, determine how many dogs (none, one or both) attack each of them.

-----Input-----
The first line of input contains the integers $A$, $B$, $C$ and $D$.

The second line contains the integer $P$, $M$ and $G$, the minute in the day during which the postman, milkman and garbage man arrive at house 18. For example, if $P$ is 3, it should be interpreted as "the postman arrived sometime during the third minute in the day".

All numbers in the input will be between 1 and 999.

-----Output-----
Output should consist of three lines; each containing ’both’, ’one’ or ’none’, depending on how many dogs attack each of our heroes.

-----Examples-----
Sample Input:
2 2 3 3
1 3 4
Sample Output:
both
one
none
user: Mirko has chosen four integers which form an arithmetic progression. In other words, when the four numbers are sorted, then the difference between each pair of adjacent elements is constant.

As has become usual, Mirko lost one of the numbers and also is not sure whether the remaining three are in the correct (sorted) order.

Write a program that, given the three remaining numbers, finds the fourth number.

-----Input-----
The input contains 3 integers between $-100$ and $100$ on a single line, separated by single spaces.

Note: the input data will guarantee that a solution, although not necessarily unique, will always exist.

-----Output-----
Output any number which could have been the fourth number in the sequence.

-----Examples-----
Sample Input:
4 6 8
Sample Output:
10
user: You are attempting to climb up the roof to fix some leaks, and have to go buy a ladder. The ladder needs to reach to the top of the wall, which is $h$ centimeters high, and in order to be steady enough for you to climb it, the ladder can be at an angle of at most $v$ degrees from the ground. How long does the ladder have to be?

-----Input-----
The input consists of a single line containing two integers $h$ and $v$, with meanings as described above. You may assume that $1 \le h \le 10000$ and that $1 \le v \le 89$.

-----Output-----
Write a single line containing the minimum possible length of the ladder in centimeters, rounded up to the nearest integer.

-----Examples-----
Sample Input:
500 70
Sample Output:
533
user: Mount Snowdon, the tallest place in Wales, is a major attraction for mountain bikers far and wide. To take advantage of the popularity of this thrilling sport, an enterprising new venture plans to open several new bike repair shops throughout the rolling foothills.

The cunning small business owner’s financial success relates directly to the velocity of the average biker: the faster a biker is going at the foot of the hill the more likely they are to encounter a problem and have to walk — or sometimes limp — into the shop.

Snowdon, like most mountains, has a very angular sort of shape. In fact, the profile of the mountain can be represented as $N$ connected line segments pointing downward at various angles, each starting where the last left off. Given this highly scientific representation of the landscape, we need to find the likely speeds of bikers given that they may start off from the top of any of the $N$ segments.

As we all know, a biker on a $\theta $-degree slope from the vertical will accelerate at a rate of precisely $g \cdot \cos (\theta ) \; \; \textrm{m} \textrm{s}^{-2}$ along the slope.

-----Input-----
 - One line containing a positive integer $N$ ($1 \le N \le 4$), the number of line segments making up the mountain, followed by a space and then a real number $g$ ($1 \le g \le 100$), the coefficient of acceleration due to gravity.
 - $N$ more lines each containing two integers $D_ i$ and then $\theta _ i$ ($1 \le D \le 10^4; 1 \le \theta \le 89$): the sloped distance in metres and absolute angle in degrees of this line segment from the vertical respectively. The segments are ordered from the top of the hill to its bottom.

-----Output-----
Each of the $N$ lines of output should contain one real number: the velocity of a biker starting at the $i^{\text {th}}$-most segment from the top and finishing at the foot of the mountain.

Answers will be judged as correct if they are printed to within an absolute or relative difference of $10^{-6}$ from their exact values.

-----Examples-----
Sample Input:
2 9
69 60
100 60
Sample Output:
39.0
30.0
user: In order to pass time during your vacation, you decided to go on a hike to visit a scenic lake up in the mountains. Hiking to the lake will take you a full day, then you will stay there for a day to rest and enjoy the scenery, and then spend another day hiking home, for a total of three days. However, the accursed weather this summer is ridiculously warm and sunny, and since severe dehydration is not at the top of your priority list you want to schedule the three-day trip during some days where the two hiking days are the least warm. In particular you want to minimize the maximum temperature during the two hiking days. 

Given the current forecast of daily maximum temperatures during your vacation, what are the best days for your trip?

-----Input-----
The first line of input contains an integer $n$ ($3 \le n \le 50$), the length of your vacation in days. Then follows a line containing $n$ integers $t_1, t_2, \ldots , t_ n$ ($-20 \le t_ i \le 40$), where $t_ i$ is the temperature forecast for the $i$’th day of your vacation.

-----Output-----
Output two integers $d$ and $t$, where $d$ is the best day to start your trip, and $t$ is the resulting maximum temperature during the two hiking days. If there are many choices of $d$ that minimize the value of $t$, then output the smallest such $d$.

-----Examples-----
Sample Input:
5
23 27 31 28 30
Sample Output:
2 28
user: Oh, no. Atli has just painted himself into a corner. He has been playing the video game Planetaris and decided to start a war against his friend Finni. The downside is Finni had a considerably larger spaceship fleet than Atli expected. Atli now needs your help to turn the tide, by determining who many fights Atli can win.

Each space fight takes place in a solar system. This early in Planetaris all the spaceships are identical. Since Atli spent most of his Intergalactic Super Kurrency (ISK) on an eavesdropping station he knows to which solar systems Finni’s fleets are going and how many ships are in each fleet. If Atli sends fewer ships than Finni to a particular solar system he will lose and Finni gains control of the solar system. If they send the same number of ships there will be no ships left over to claim the system, so there is no winner. However if Atli sends more ships than Finni to a system he wins the battle and gains control of that solar system.

-----Input-----
The first line of the input contains two integers $1 \leq n \leq 10^5$ and $0 \leq a \leq 10^9$, where $n$ is the number of solar systems and $a$ is the total number of ships Atli has at his disposal. The next line contains $n$ integers $0 \leq e_ i \leq 10^9$, where $e_ i$ indicates Finni is sending $e_ i$ ships to the $i$th solar system.

-----Output-----
The only line of the output should contain an integer indicating the largest number of battles Atli can win if he plays optimally.

-----Examples-----
Sample Input:
3 6
1 2 3
Sample Output:
2
user: The doorman Bruno at the popular night club Heaven is having a hard time fulfilling his duties. He was told by the owner that when the club is full, the number of women and men let into the club should be roughly the same. When the night club opens, people wanting to enter the club are already lined up in a queue, and Bruno can only let them in one-by-one. He lets them in more-or-less in the order they are lined up. He can however decide to let the second person in the queue cut the line and slip into the club before the person in front. This will no doubt upset the person first in line, especially when this happens multiple times, but Bruno is quite a big guy and is capable of handling troublemakers.

Unfortunately though, he is not that strong on mental calculations under these circumstances. He finds keeping track of the difference of the number of women and number of men let into the club a challenging task. As soon as the absolute difference gets too big, he loses track of his counting and must declare to the party people remaining in the queue that the club is full.

-----Input-----
The first line of input contains a positive integer $X<100$ describing the largest absolute difference between the number of women and number of men let into the club that Bruno can handle.

The second line contains a string consisting solely of the characters ’W’ and ’M’ of length at most $100$, describing the genders of the people in the queue, in order of their arrrival. The leftmost character of the string is the gender of the person first in line.

You may assume that the club is large enough to hold all the people in the queue.

-----Output-----
The maximum number of people Bruno can let into the club without losing track of his counting.

-----Examples-----
Sample Input:
1
MWWMWMMWM
Sample Output:
9
user: Daenerys frequently invents games to help teach her second grade Computer Science class about various aspects of the discipline. For this week’s lesson she has the children form a circle and (carefully) throw around a petrified dragon egg.

The $n$ children are numbered from $0$ to $n - 1$ (it is a Computer Science class after all) clockwise around the circle. Child $0$ always starts with the egg. Daenerys will call out one of two things:
 - a number $t$, indicating that the egg is to be thrown to the child who is $t$ positions clockwise from the current egg holder, wrapping around if necessary. If $t$ is negative, then the throw is to the counter-clockwise direction.
 - the phrase undo $m$, indicating that the last $m$ throws should be undone. Note that undo commands never undo other undo commands; they just undo commands described in item $1$ above.

For example, if there are $5$ children, and the teacher calls out the four throw commands 8 -2 3 undo 2, the throws will start from child $0$ to child $3$, then from child $3$ to child $1$, then from child $1$ to child $4$. After this, the undo 2 instructions will result in the egg being thrown back from child $4$ to child $1$ and then from child $1$ back to child $3$. If Daenerys calls out $0$ (or $n, -n, 2n, -2n$, etc.) then the child with the egg simply throws it straight up in the air and (carefully) catches it again.

Daenerys would like a little program that determines where the egg should end up if her commands are executed correctly. Don’t ask what happens to the children if this isn’t the case.

-----Input-----
Input consists of two lines. The first line contains two positive integers $n$$k$ ($1\leq n \leq 30$, $1 \leq k \leq 100$) indicating the number of students and how many throw commands Daenerys calls out, respectively. The following line contains the $k$ throw commands. Each command is either an integer $p$ ($-10000 \leq p \leq 10000$) indicating how many positions to throw the egg clockwise or undo $m$ ($m \geq 1$) indicating that the last $m$ throws should be undone. Daenerys never has the kids undo beyond the start of the game.

-----Output-----
Display the number of the child with the egg at the end of the game.

-----Examples-----
Sample Input:
5 4
8 -2 3 undo 2
Sample Output:
3
user: Sean’s Swathers makes custom swathers (equipment used to harvest grain). All swathers go through the same basic stages in their construction: for example they all need to have a cutting bar, a grain belt, and a reel fitted. However, these components can be customized based on the buyer’s needs, so these various stages may take different amounts of time between different swathers. 

$N$ swathers have been ordered and there are $M$ stages in the manufacturing process. The swathers will each go through the same sequence of stages.

In particular, the processing occurs as follows: For each swather $i$ and each stage $j$, it takes $P_{i,j}$ units of time to complete stage $j$ for swather $i$. The workers at each stage may only work on one swather at a time. At the start of the day all swather orders are ready to be processed by the first stage. At any point in the process, if the workers at stage $j$ are idle and there are swathers waiting to be processed at this stage then the workers will pick the swather that has the lowest label (they are labelled from $1$ to $N$). Note that the work on a stage $j$ can only be started after the work on the stage $j-1$ is completed.

Determine the time each swather is completed.

-----Input-----
There is only one test case in each file. It begins with a single line containing $N$ and $M$ ($1 \leq N,M \leq 1000$), the number of swathers and stages (respectively). Following this are $N$ lines, each with $M$ integers. The $j$’th integer of the $i$’th line is $P_{i,j}$, giving the amount of time it will take for the workers at stage $j$ to complete swather $i$ ($1 \leq P_{i,j} \leq 10^6$).

-----Output-----
Output a single line containing $N$ integers $T_1~ T_2~ \ldots ~ T_ n$ with a single space between consecutive integers. These should be such that stage $M$ for swather $i$ is completed at time $T_ i$.

-----Examples-----
Sample Input:
2 3
1 2 3
3 2 1
Sample Output:
6 7
user: A confused Dutchman trying to speak English could say “I am in the war”, even though there is no hostile activity going on. The confusion1 here is that the English sentence “I am confused” is translated in Dutch as “Ik ben in de war”, which is phonetically (“sounding”) quite close to the first sentence. Such confusion leads to much enjoyment, but can complicate matters a bit. 

Given a sentence in Dutch and a dictionary containing both correct translations as well as phonetic (incorrect) translations of individual words, find the translation of the sentence and indicate whether it is correct, or in case there is more than one find the total number of correct and incorrect translations. A sentence is correctly translated when each word of the sentence is correctly translated.

-----Input-----
The input consists of:
 - One line with an integer $n$ ($1 \leq n \leq 20$), the number of words in the Dutch sentence.
 - One line with $n$ words, the Dutch sentence $s$.
 - One line with an integer $m$ ($1 \leq m \leq 10^5$), the number of words in the dictionary.
 - $m$ lines, each with three strings $d$, $e$ and $c$, a Dutch word, the English translation, and “correct” if this is the correct translation or “incorrect” otherwise.

A word consists of between $1$ and $20$ lowercase letters. Each word in $s$ appears at least once as a Dutch word in the dictionary, no word appears more than $8$ times as a Dutch word in the dictionary, and each combination of a Dutch and English word appears at most once.

-----Output-----
In case there is only a single translation of $s$, output one line with the translation followed by one line with “correct” or “incorrect”. In case there is more than one translation, output one line with the number of possible correct translations followed by “correct”, and one line with the number of possible incorrect translations followed by “incorrect”.

-----Examples-----
Sample Input:
7
als mollen mollen mollen mollen mollen mollen
4
als when correct
mollen moles correct
mollen destroy correct
mollen mills incorrect
Sample Output:
64 correct
665 incorrect
user: Farmer Jon has recently bought $n$ tree seedlings that he wants to plant in his yard. It takes $1$ day for Jon to plant a seedling1, and for each tree Jon knows exactly in how many days after planting it grows to full maturity. Jon would also like to throw a party for his farmer friends, but in order to impress them he would like to organize the party only after all the trees have grown. More precisely, the party can be organized at earliest on the next day after the last tree has grown up.

Help Jon to find out when is the earliest day when the party can take place. Jon can choose the order of planting the trees as he likes, so he wants to plant the trees in such a way that the party will be as soon as possible.

-----Input-----
The input consists of two lines. The first line contains a single integer $N$ ($1\leq N \leq 100000$) denoting the number of seedlings. Then a line with $N$ integers $t_ i$ follows ($1\leq t_ i\leq 1000000$), where $t_ i$ denotes the number of days it takes for the $i$th tree to grow.

-----Output-----
You program should output exactly one line containing one integer, denoting the earliest day when the party can be organized. The days are numbered $1,2,3,\ldots $ beginning from the current moment.

-----Examples-----
Sample Input:
4
2 3 4 3
Sample Output:
7
user: Theta likes to bake cookies for the upcoming holidays. She has a selection of cookie cutters of different shapes and sizes. She thinks it’s unfair that some shapes are larger than others – because even if everyone gets the same number of cookies, some will end up with more dough!

She comes up with a plan to enlarge (or shrink) the cookie cutters’ shapes – while retaining their proportions – so that all cookies will have the same weight.

Your task in this problem is to help her draw the plans the new cookie cutters will be based on!

-----Input-----
The input is a single test case, consisting of one cookie cutter outline. Cookie cutters are modeled as simple polygons. (Simple polygons do not self-intersect.) The first line of input contains a number $N$ ($3 \le N \le 50$) denoting the number of corners of the polygon. This is followed by $N$ lines containing two floating point numbers $X$ and $Y$ ($-500 \le X, Y \le 500$), each describing a set of coordinates of a polygon point. Each floating point number will have at most $6$ digits after the period. The coordinates are given in counter-clockwise order.

The next line will contain an integer number $A$ ($0 < A \le 10000000$) denoting the size of the desired area to which the polygon should be grown or shrunk. (Since the dough is rolled out precisely to an even height everywhere, we can use area to represent weight.) The resized polygon must be similar to the original polygon, that is, all interior angles must be congruent and all corresponding sides must have the same ratio.

-----Output-----
Output $N$ lines with the $X$, $Y$ coordinates of the expanded/shrunk polygon. Because these coordinates will be used to draw a new cookie cutter, your new polygon should lie in the north-east quadrant ($x, y \ge 0$) and it should touch the $x$- and $y$-axes in at least one point. More precisely, you must move the resized polygon horizontally and/or vertically so that $\min x_ i = \min y_ j = 0$. You may not, however, rotate or skew the polygon in any way.

Provide your answers as floating point numbers. Your answer will be considered correct if none of the $x, y$ coordinates have an absolute or relative error larger than $10^{-4}$.

-----Examples-----
Sample Input:
3
0 0
1 1
0 2
4
Sample Output:
0.0 0.0
2.0 2.0
0.0 4.0
user: You have a single 3D printer, and would like to use it to produce $n$ statues. However, printing the statues one by one on the 3D printer takes a long time, so it may be more time-efficient to first use the 3D printer to print a new printer. That new printer may then in turn be used to print statues or even more printers. Print jobs take a full day, and every day you can choose for each printer in your possession to have it print a statue, or to have it 3D print a new printer (which becomes available for use the next day).

What is the minimum possible number of days needed to print at least $n$ statues?

-----Input-----
The input contains a single integer $n$ ($1 \le n \le 10000$), the number of statues you need to print.

-----Output-----
Output a single integer, the minimum number of days needed to print at least $n$ statues.

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