meetforever/GRPO_CL huggingface dataset:
user: The city’s local subway service S.L., Super Lag, are currently being blamed that their displays, showing the expected wait time until the next train arrives, are faulty. Too many commuters have the experience of coming to the subway station, and then having to wait many more minutes than the display showed when they got there. 

The American Commuter Movement and the International Commuting Peoples’ Community have had it with this. Especially Johan, a young student, who has decided to investigate this matter further. Johan went to one of the stations, and studied the behaviour of the displays. Each time the display showed a new number, Johan carefully measured the number of seconds that passed from that moment until the train arrived. As soon as that train left again, he did the same thing for the next train and so on. He remembered all the displayed minutes, and the wait time for each such in seconds. Although Johan has a very good memory, he does not know what to do with his measurements. He needs your help!

Your task is to help Johan calculate the average length of an S.L. minute (the length of a minute according to the display). You may assume that when the display shows a new number $M$, the expected S.L. wait time in that moment is exactly $M$ minutes.

-----Input-----
The first line contains an integer $1 \le N \le 1000$ – the number of observations Johan did. The following $N$ lines contain two positive integers $M \le 60$ and $S \le 3600$ – the number of minutes displayed, and the number of seconds Johan had to wait for his train.

-----Output-----
Output should consist of a single real number: the average length of an S.L. minute, measured in real minutes. A relative or absolute error of at most $10^{-7}$ will be considered correct. If the average length of an S.L. minute is shorter than or equal to a normal minute, print the message "measurement error" instead.

-----Examples-----
Sample Input:
1
1 61
Sample Output:
1.016666667
user: One of the most well-known and classic methods of encryption is the Vigenère cipher. Given a message and key of equal length, all you need to do to encrypt the message is shift each character forward by a certain number of characters in the alphabet.

For example, if your string is CALGARY and key is ALBERTA, the number of letters to shift the $i$-th letter in the message is given by the position in the alphabet of the $i$-th letter in the key, using $0$-based indexing. So the first character in our message C is shifted $0$ letters forward since the first character in our key is A. Likewise, A is shifted $11$ characters since L is the $11$-th letter in the alphabet. Repeating for each character, we’ll find the encrypted message ends up being CLMKRKY.

Of course since this is such a well known encryption method, it isn’t very safe so your friend Yraglac has come up with a brilliant idea: for each even-indexed character in your message, you do the usual encryption as described above, but for the odd-indexed characters, instead of shifting forwards by the key, you actually shift backwards. Thus, our example above would actually be encrypted as CPMCRYY. That’ll throw off any pesky hackers trying to read your secrets!

Of course Yraglac has left the implementation up to you. Given an encrypted message and the key, can you write a program to decrypt it? Don’t forget that everything is using $0$-based indexing.

-----Input-----
Input consists of two lines. The first contains the encrypted message $C$ and the second contains the key $K$. $C$ and $K$ are always of equal length between $1$ and $200$ characters long and consists only of uppercase alphabetic letters.

-----Output-----
Output the decrypted message.

-----Examples-----
Sample Input:
CPMCRYY
ALBERTA
Sample Output:
CALGARY
user: Jealous of Mirko’s position as head of the village, Borko stormed into his tent and tried to demonstrate Mirko’s incompetence for leadership with a trick.

Borko puts three opaque cups onto the table next to each other (opening facing down) and a small ball under the leftmost cup. He then swaps two cups in one of three possible ways a number of times. Mirko has to tell which cup the ball ends up under.

Wise Mirko grins with his arms crossed while Borko struggles to move the cups faster and faster. What Borko does not know is that programmers in the back are recording all his moves and will use a simple program to determine where the ball is. Write that program.

-----Input-----
The first and only line contains a non-empty string of at most $50$ characters, Borko’s moves. Each of the characters is ‘A’, ‘B’ or ‘C’ (without quote marks).

-----Output-----
Output the index of the cup under which the ball is: $1$ if it is under the left cup, $2$ if it is under the middle cup or $3$ if it is under the right cup.

-----Examples-----
Sample Input:
AB
Sample Output:
3
user: Kornislav the turtle never has anything interesting to do. Since he’s going to live for three hundred years, he keeps trying to find way to kill time. This weekend he started playing "enclose the largest rectangle".

To start with, Kornislav needs four positive integers. He tries to enclose a rectangle by moving in one direction, then turning 90 degrees, then walking in the new direction etc. Kornislav makes a total of three 90-degree turns and walks four segments.

When walking in some direction, the number of steps he takes must be equal to one of the four chosen integers and each integer must be used exactly once. Depending on the order in which Kornislav uses the integers, his walk will make various shapes, some of which don’t contain enclosed rectangles. Write a program that calculates the largest rectangle the turtle can enclose with its walk.

-----Input-----
The first line contains four positive integers $A, B, C$ and $D~ (0 < A, B, C, D < 100)$, the four chosen integers.

-----Output-----
Output the largest area.

-----Examples-----
Sample Input:
1 2 3 4
Sample Output:
3
user: You are given two integers, $a$ and $b$. You want to transform $a$ to $b$ by performing a sequence of operations. You can only perform the following operations:
 - Divide $a$ by two (only if $a$ is even)
 - Add one to $a$

What is the minimum number of these operations you need to transform $a$ into $b$?

-----Input-----
The single line of input contains two space-separated integers $a$ and $b$ ($1\le a,b \le 10^9$). You want to transform $a$ into $b$ using only the operations given above.

-----Output-----
Output a single integer, which is the minimum number of the given operations needed to transform $a$ into $b$.

-----Examples-----
Sample Input:
103 27
Sample Output:
4