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[ { "role": "user", "content": "Here is a question from the code domain.\n\nOmkar is playing his favorite pixelated video game, Bed Wars! In Bed Wars, there are n players arranged in a circle, so that for all j such that 2 ≤ j ≤ n, player j - 1 is to the left of the player j, and player j is to the right of p...
[ { "role": "user", "content": "Here is a question from the math domain.\n\nSolve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nFind the limit\n\\[ \\lim_{n \\to \\infty} n \\int_{0}^{1} \\frac{x^{kn}}{1 + x^{m}} \\, dx, \\]\nwhere \\( k \\) and \\( m \\) are n...
[ { "role": "user", "content": "Here is a question from the code domain.\n\nYou are given integers N and M.\n\nConsider a sequence a of length N consisting of positive integers such that a_1 + a_2 + ... + a_N = M. Find the maximum possible value of the greatest common divisor of a_1, a_2, ..., a_N.\n\nConstra...
[ { "role": "user", "content": "Here is a question from the code domain.\n\nThis is the hard version of the problem. The difference between the two versions is that you have to minimize the number of operations in this version. You can make hacks only if both versions of the problem are solved.\n\nYou have tw...
[ { "role": "user", "content": "Here is a question from the code domain.\n\nPetya organized a strange birthday party. He invited n friends and assigned an integer k_i to the i-th of them. Now Petya would like to give a present to each of them. In the nearby shop there are m unique presents available, the j-th...
[ { "role": "user", "content": "Here is a question from the chat domain.\n\nNarration sur la gestion de crédit " }, { "role": "assistant", "content": "<think>\nOkay, the user wants a narration about credit management. Let me start by understanding what exactly they need. \"Narration sur la gestion...
[ { "role": "user", "content": "Here is a question from the code domain.\n\nThe word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.\n\nYou are given a string s of length at least 3 consisting of lowercase En...
[ { "role": "user", "content": "Here is a question from the code domain.\n\nHansa loves dancing and so do her friends. But she has some pretty weird friends. Like this one friend of hers, Jack, jumps forward while dancing. The dance floor is of finite length (L) and there are many people dancing on it. During...
[ { "role": "user", "content": "Here is a question from the code domain.\n\nGeneralized leap year\n\nNormally, whether or not the year x is a leap year is defined as follows.\n\n1. If x is a multiple of 400, it is a leap year.\n2. Otherwise, if x is a multiple of 100, it is not a leap year.\n3. Otherwise, if ...
[ { "role": "user", "content": "Here is a question from the code domain.\n\nThere are $n$ people who want to participate in a boat competition. The weight of the $i$-th participant is $w_i$. Only teams consisting of two people can participate in this competition. As an organizer, you think that it's fair to a...
[ { "role": "user", "content": "Here is a question from the chat domain.\n\nreformuler cette phrase: Sauf erreur cette perte n’est pas réintégrable donc on n’a pas d’autres impacts à part la prendre en compte dans le résultat comptable vu que ca va avoir un impact P&L. " }, { "role": "assistant", ...
[ { "role": "user", "content": "Here is a question from the math domain.\n\nSolve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nFor a positive integer $n$, let $A_n$ and $B_n$ be the families of $n$-element subsets of $S_n=\\{1,2,\\ldots,2n\\}$ with respectivel...
[ { "role": "user", "content": "Here is a question from the chat domain.\n\nAsk personality questions about a German air pilot to flush out his psychological report " }, { "role": "assistant", "content": "<think>\nOkay, I need to come up with some personality questions for a German air pilot to he...
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