Split (1)

train · 1M rows

messages listlengths 2 2	conversations listlengths 2 2
[ { "role": "user", "content": "from typing import List\n\ndef data_center_operations(n: int, q: int, operations: List[List[int]]) -> List[int]:\n \"\"\"Handles data center network operations and returns results for degree queries.\n \n Args:\n n (int): Number of servers in the network.\n q (in...	[ { "from": "human", "value": "from typing import List\n\ndef data_center_operations(n: int, q: int, operations: List[List[int]]) -> List[int]:\n \"\"\"Handles data center network operations and returns results for degree queries.\n \n Args:\n n (int): Number of servers in the network.\n q (int...
[ { "role": "user", "content": "Let $f(z) = \\sum_{n=0}^{\\infty}a_nz^n$ have radius of convergence $R$. If $\|a\| = R$ and the power series does not converge at $z = a$, then $f(z)$ cannot be analytically continued to an open neighborhood of $a$. Provide a counterexample to this statement, and explain why the ...	[ { "from": "human", "value": "Let $f(z) = \\sum_{n=0}^{\\infty}a_nz^n$ have radius of convergence $R$. If $\|a\| = R$ and the power series does not converge at $z = a$, then $f(z)$ cannot be analytically continued to an open neighborhood of $a$. Provide a counterexample to this statement, and explain why the s...
[ { "role": "user", "content": "Given a square matrix and an integer power, you are required to compute the sum of the matrix raised to each power from 1 to the given power. What is the resultant matrix after performing these operations?\n\nThe input and output requirements are as follows:\n\nInput:\n `n` (i...	[ { "from": "human", "value": "Given a square matrix and an integer power, you are required to compute the sum of the matrix raised to each power from 1 to the given power. What is the resultant matrix after performing these operations?\n\nThe input and output requirements are as follows:\n\nInput:\n `n` (in...
[ { "role": "user", "content": "Write a horror story about a group of friends being lost in a dark forest.", "info": { "source": "InfinityInstruct", "reference_answer": null, "test_case": null, "think_content": null, "answer_content": null } }, { "role": "assistan...	[ { "from": "human", "value": "Write a horror story about a group of friends being lost in a dark forest." }, { "from": "gpt", "value": "<think>Okay, so the user wants a horror story about friends lost in a dark forest. Let me start by brainstorming the key elements of a good horror story in this ...
[ { "role": "user", "content": "A murder occurs on a train stuck in a snowbank, and the detective must use logic and evidence to determine who committed the crime and how. Describe the steps you would take to investigate this crime, including how you would gather evidence, interview suspects, and interpret cl...	[ { "from": "human", "value": "A murder occurs on a train stuck in a snowbank, and the detective must use logic and evidence to determine who committed the crime and how. Describe the steps you would take to investigate this crime, including how you would gather evidence, interview suspects, and interpret clu...
[ { "role": "user", "content": "For two identical fermions in a quantum system, explain why the overall wavefunction must be antisymmetric, considering the principles of quantum mechanics and the implications of the Pauli exclusion principle.", "info": { "source": "natural_reasoning", "referen...	[ { "from": "human", "value": "For two identical fermions in a quantum system, explain why the overall wavefunction must be antisymmetric, considering the principles of quantum mechanics and the implications of the Pauli exclusion principle." }, { "from": "gpt", "value": "<think>Okay, so the user ...
[ { "role": "user", "content": "Find all prime numbers \\( p \\) for which \\( p^2 + 200 \\) is a square of an integer.", "info": { "source": "openThoughts", "reference_answer": null, "test_case": null, "think_content": null, "answer_content": null } }, { "role": ...	[ { "from": "human", "value": "Find all prime numbers \\( p \\) for which \\( p^2 + 200 \\) is a square of an integer." }, { "from": "gpt", "value": "<think>\n\nOkay, so I need to find all prime numbers p such that p² + 200 is a perfect square. Hmm, let's start by understanding what the problem is...
[ { "role": "user", "content": "Given vectors $\\overrightarrow {a}$ = (4, 3) and $\\overrightarrow {b}$ = (-1, 2), with $\\overrightarrow {m}$ = $\\overrightarrow {a}$ - $λ \\overrightarrow {b}$ and $\\overrightarrow {n}$ = 2$\\overrightarrow {a}$ + $\\overrightarrow {b}$, find the values of $λ$ such that $\...	[ { "from": "human", "value": "Given vectors $\\overrightarrow {a}$ = (4, 3) and $\\overrightarrow {b}$ = (-1, 2), with $\\overrightarrow {m}$ = $\\overrightarrow {a}$ - $λ \\overrightarrow {b}$ and $\\overrightarrow {n}$ = 2$\\overrightarrow {a}$ + $\\overrightarrow {b}$, find the values of $λ$ such that $\\...
[ { "role": "user", "content": "PolyWave possesses a singular focus: your intricate datasets. Any dataset content undergoes real-time analysis during loading, with PolyWave presenting the corresponding advanced post-processing modules. This feature ensures even novice or first-time users attain the confidence...	[ { "from": "human", "value": "PolyWave possesses a singular focus: your intricate datasets. Any dataset content undergoes real-time analysis during loading, with PolyWave presenting the corresponding advanced post-processing modules. This feature ensures even novice or first-time users attain the confidence ...
[ { "role": "user", "content": "Example 2 Given positive integers $a, b$ satisfy the equation\n$$2 a^{2}+a=3 b^{2}+b$$\n\nProve: $a-b$ and $2 a+2 b+1$ are both perfect squares.", "info": { "source": "NuminaMath_1.5", "reference_answer": "proof", "test_case": null, "think_content": ...	[ { "from": "human", "value": "Example 2 Given positive integers $a, b$ satisfy the equation\n$$2 a^{2}+a=3 b^{2}+b$$\n\nProve: $a-b$ and $2 a+2 b+1$ are both perfect squares." }, { "from": "gpt", "value": "<think>Okay, let's try to tackle this problem. So, we have the equation 2a² + a = 3b² + b, ...
[ { "role": "user", "content": "Explain the concept of confinement in quantum chromodynamics (QCD) and its relationship to the mass gap. Discuss why proving the existence of a mass gap in quantum Yang-Mills theory is essential for demonstrating confinement, and outline the challenges in achieving a mathematic...	[ { "from": "human", "value": "Explain the concept of confinement in quantum chromodynamics (QCD) and its relationship to the mass gap. Discuss why proving the existence of a mass gap in quantum Yang-Mills theory is essential for demonstrating confinement, and outline the challenges in achieving a mathematica...
[ { "role": "user", "content": "Compose a detailed paper on the Mechanistic Pathways for the Synthesis of (1R,3S)-3-(Tert-butoxycarbonylamino)-4-methylcyclopentane-1-carboxylic acid, spanning 2000 words, focusing on advanced methodologies in modern synthetic chemistry.", "info": { "source": "Infinit...	[ { "from": "human", "value": "Compose a detailed paper on the Mechanistic Pathways for the Synthesis of (1R,3S)-3-(Tert-butoxycarbonylamino)-4-methylcyclopentane-1-carboxylic acid, spanning 2000 words, focusing on advanced methodologies in modern synthetic chemistry." }, { "from": "gpt", "value":...
[ { "role": "user", "content": "Find the polynomial of the form \\(x^{2} + ax + b\\) whose maximum modulus on the interval \\([-1, 1]\\) is minimal.", "info": { "source": "openThoughts", "reference_answer": null, "test_case": null, "think_content": null, "answer_content": nul...	[ { "from": "human", "value": "Find the polynomial of the form \\(x^{2} + ax + b\\) whose maximum modulus on the interval \\([-1, 1]\\) is minimal." }, { "from": "gpt", "value": "<think>\n\nOkay, so I need to find a quadratic polynomial of the form \\(x^2 + ax + b\\) such that the maximum of its a...
[ { "role": "user", "content": "Given a set of vertices defining an n-dimensional simplex, what is the volume of the simplex?\n\nThe input and output requirements are as follows:\n\nInput:\n `vertices` (list of lists of floats): Vertices of the simplex, represented as a list of lists where each inner list re...	[ { "from": "human", "value": "Given a set of vertices defining an n-dimensional simplex, what is the volume of the simplex?\n\nThe input and output requirements are as follows:\n\nInput:\n `vertices` (list of lists of floats): Vertices of the simplex, represented as a list of lists where each inner list rep...
[ { "role": "user", "content": "As the moonlight seeps through the slightly parted curtains, illuminating the room with a soft glow, I guide you towards the couch with our lips locked in a fiery embrace. My hands roam down your back, fingertips grazing your spine, feeling the electrifying connection between u...	[ { "from": "human", "value": "As the moonlight seeps through the slightly parted curtains, illuminating the room with a soft glow, I guide you towards the couch with our lips locked in a fiery embrace. My hands roam down your back, fingertips grazing your spine, feeling the electrifying connection between us...
[ { "role": "user", "content": "Write a function to find the most frequent items in a list along with their counts. If there are multiple items with the same highest frequency, return all of them.", "info": { "source": "OpenCoder", "reference_answer": null, "test_case": "[\"assert most_f...	[ { "from": "human", "value": "Write a function to find the most frequent items in a list along with their counts. If there are multiple items with the same highest frequency, return all of them." }, { "from": "gpt", "value": "<think>Okay, I need to write a Python function that finds the most freq...
[ { "role": "user", "content": "如何有效地将一款专为运动员休赛期需求量身定制的尖端能量饮料推广到最大范围？广告策略应涵盖传统和数字媒体，同时展示一个创新的品牌口号，突出该饮料增强运动表现的优势。您能提出一系列视觉上引人注目的组成部分，以融入促销活动，使其更具吸引力，以吸引目标受众的注意吗？", "info": { "source": "evol-zh", "reference_answer": null, "test_case": null, "think_content": null, "answer_conte...	[ { "from": "human", "value": "如何有效地将一款专为运动员休赛期需求量身定制的尖端能量饮料推广到最大范围？广告策略应涵盖传统和数字媒体，同时展示一个创新的品牌口号，突出该饮料增强运动表现的优势。您能提出一系列视觉上引人注目的组成部分，以融入促销活动，使其更具吸引力，以吸引目标受众的注意吗？" }, { "from": "gpt", "value": "<think>嗯，用户的问题是关于如何有效地推广一款专为运动员休赛期设计的尖端能量饮料，需要覆盖传统和数字媒体，还要有一个创新的品牌口号，同时需要视觉上吸引人的促销活动组成部分。首先，我得理解用户的需求。他们可能...
[ { "role": "user", "content": "Provide a nuanced four-sentence summary of this text, ensuring to cover points such as the initial sales surge, the technical milestones achieved, the planned discontinuation amidst the shift towards the Ultium platform, and the recall issues:- \nThe electric NAME_1 NAME_2 and ...	[ { "from": "human", "value": "Provide a nuanced four-sentence summary of this text, ensuring to cover points such as the initial sales surge, the technical milestones achieved, the planned discontinuation amidst the shift towards the Ultium platform, and the recall issues:- \nThe electric NAME_1 NAME_2 and N...
[ { "role": "user", "content": "给你两个角色信息如下：\nMike：一位拥有10年IT工作经验的资深工程师，擅长开发计算机软件和编写代码。\nEmily：一位来自人力资源部门的招聘经理，负责公司招聘和面试流程的管理。 \n生成他们之间的一段对话，要求对话内容详细丰富。 ", "info": { "source": "InfinityInstruct", "reference_answer": null, "test_case": null, "think_content": null, "answer_conten...	[ { "from": "human", "value": "给你两个角色信息如下：\nMike：一位拥有10年IT工作经验的资深工程师，擅长开发计算机软件和编写代码。\nEmily：一位来自人力资源部门的招聘经理，负责公司招聘和面试流程的管理。 \n生成他们之间的一段对话，要求对话内容详细丰富。 " }, { "from": "gpt", "value": "<think>好的，我现在需要处理用户的请求，生成Mike和Emily之间的详细对话。首先，用户给定了两个角色的背景：Mike是拥有10年IT经验的资深工程师，擅长软件开发和编码；Emily是人力资源的招聘经理，负责公司招聘和面试流...
[ { "role": "user", "content": "Consider a system of equations $a_i^2+a_ia_{i+1}+a_{i+1}^2 = b_i$ for $i=1,2,\\cdots, n$, where $n$ is a positive integer, $b_1, b_2, \\cdots, b_n$ are positive real numbers such that $b_i \\not= b_{i+1}$, and $a_{n+1} = a_1$. Show that this system has a finite number of soluti...	[ { "from": "human", "value": "Consider a system of equations $a_i^2+a_ia_{i+1}+a_{i+1}^2 = b_i$ for $i=1,2,\\cdots, n$, where $n$ is a positive integer, $b_1, b_2, \\cdots, b_n$ are positive real numbers such that $b_i \\not= b_{i+1}$, and $a_{n+1} = a_1$. Show that this system has a finite number of solutio...
[ { "role": "user", "content": "A 1986 Chevy 305 engine is being tuned for optimal performance. The engine has been modified with an Edelbrock carburetor and intake, along with headers. Describe the steps to set the ignition timing for this engine, considering the modifications and the goal of achieving the s...	[ { "from": "human", "value": "A 1986 Chevy 305 engine is being tuned for optimal performance. The engine has been modified with an Edelbrock carburetor and intake, along with headers. Describe the steps to set the ignition timing for this engine, considering the modifications and the goal of achieving the sm...
[ { "role": "user", "content": "Given the pseudo-inner product $(\\mathbf{v},\\mathbf{u})=\\\|\\mathbf v\\\|\\cdot \\\|\\mathbf u\\\|\\cos(2\\alpha)$, where $\\alpha$ is the angle between the vectors $\\mathbf v$ and $\\mathbf u$ in $\\mathbb{R}^2$, discuss the geometric implications of this product on the space ...	[ { "from": "human", "value": "Given the pseudo-inner product $(\\mathbf{v},\\mathbf{u})=\\\|\\mathbf v\\\|\\cdot \\\|\\mathbf u\\\|\\cos(2\\alpha)$, where $\\alpha$ is the angle between the vectors $\\mathbf v$ and $\\mathbf u$ in $\\mathbb{R}^2$, discuss the geometric implications of this product on the space o...
[ { "role": "user", "content": "Write a function that takes an array of integers and returns the minimum number of reduction operations required to make all elements in the array equal. A reduction operation is defined as replacing the largest element (in case of ties, the first occurrence) with the second la...	[ { "from": "human", "value": "Write a function that takes an array of integers and returns the minimum number of reduction operations required to make all elements in the array equal. A reduction operation is defined as replacing the largest element (in case of ties, the first occurrence) with the second lar...
[ { "role": "user", "content": "### PyTorch and HIP Integration\n\nObjective:\n\nIn this exercise, you will demonstrate your understanding of working with PyTorch and GPU devices with a specific focus on HIP (ROCm) integration. You will need to implement a function that performs tensor operations on the G...	[ { "from": "human", "value": "### PyTorch and HIP Integration\n\nObjective:\n\nIn this exercise, you will demonstrate your understanding of working with PyTorch and GPU devices with a specific focus on HIP (ROCm) integration. You will need to implement a function that performs tensor operations on the GP...
[ { "role": "user", "content": "def min_distribution_periods(n: int, max_funds: int, budgets: List[int]) -> int:\n \"\"\"\n Compute the minimum number of distribution periods required to fulfill all budgets\n given the number of teams, their corresponding budgets, and the maximum funds you\n can d...	[ { "from": "human", "value": "def min_distribution_periods(n: int, max_funds: int, budgets: List[int]) -> int:\n \"\"\"\n Compute the minimum number of distribution periods required to fulfill all budgets\n given the number of teams, their corresponding budgets, and the maximum funds you\n can di...
[ { "role": "user", "content": "Let the function $f(x)=g\\left( \\frac{x}{2} \\right)+x^{2}$, and the equation of the tangent line to the curve $y=g(x)$ at the point $(1,g(1))$ is $9x+y-1=0$. Find the equation of the tangent line to the curve $y=f(x)$ at the point $(2,f(2))$.", "info": { "source": "...	[ { "from": "human", "value": "Let the function $f(x)=g\\left( \\frac{x}{2} \\right)+x^{2}$, and the equation of the tangent line to the curve $y=g(x)$ at the point $(1,g(1))$ is $9x+y-1=0$. Find the equation of the tangent line to the curve $y=f(x)$ at the point $(2,f(2))$." }, { "from": "gpt", "...
[ { "role": "user", "content": "Prove that the only associative division algebras over the real numbers are the real numbers, the complex numbers, and the quaternions, and discuss the implications of this result in the context of algebra and geometry.", "info": { "source": "natural_reasoning", ...	[ { "from": "human", "value": "Prove that the only associative division algebras over the real numbers are the real numbers, the complex numbers, and the quaternions, and discuss the implications of this result in the context of algebra and geometry." }, { "from": "gpt", "value": "<think>Okay, so ...
[ { "role": "user", "content": "Discuss the implications of the Coleman-Mandula theorem on the uniqueness of supersymmetry in relating particles of different spin and chirality. How does this theorem restrict the possible symmetries that can cooperate with supersymmetry, and what are the consequences for our ...	[ { "from": "human", "value": "Discuss the implications of the Coleman-Mandula theorem on the uniqueness of supersymmetry in relating particles of different spin and chirality. How does this theorem restrict the possible symmetries that can cooperate with supersymmetry, and what are the consequences for our u...
[ { "role": "user", "content": "Given the function $f(x)=\\log_{2}(x^{2}+a)$. If $f(3)=1$, then $a=$_______.", "info": { "source": "NuminaMath_1.5", "reference_answer": "-7", "test_case": null, "think_content": null, "answer_content": null } }, { "role": "assistan...	[ { "from": "human", "value": "Given the function $f(x)=\\log_{2}(x^{2}+a)$. If $f(3)=1$, then $a=$_______." }, { "from": "gpt", "value": "<think>Okay, so I need to find the value of 'a' in the function f(x) = log₂(x² + a) given that f(3) = 1. Let me start by understanding what the problem is aski...
[ { "role": "user", "content": "def transform_sentence(sentence: str) -> str:\n \"\"\"\n Transforms the input sentence by reversing the order of words \n and swapping the case of all letters in the reversed sentence.\n \n Args:\n sentence (str): The input sentence.\n \n Returns:\n s...	[ { "from": "human", "value": "def transform_sentence(sentence: str) -> str:\n \"\"\"\n Transforms the input sentence by reversing the order of words \n and swapping the case of all letters in the reversed sentence.\n \n Args:\n sentence (str): The input sentence.\n \n Returns:\n st...
[ { "role": "user", "content": "Write a detailed 200-word introduction for Aston Biotech Solutions, a pioneering biotechnology firm located in the heart of Shenzhen, China.", "info": { "source": "InfinityInstruct", "reference_answer": null, "test_case": null, "think_content": null,...	[ { "from": "human", "value": "Write a detailed 200-word introduction for Aston Biotech Solutions, a pioneering biotechnology firm located in the heart of Shenzhen, China." }, { "from": "gpt", "value": "<think>Okay, the user wants a 200-word introduction for Aston Biotech Solutions. Let me start b...
[ { "role": "user", "content": "You are given a list of events `events` where each event is represented as an array of two integers `[startTime, endTime]`. The event `[startTime, endTime]` represents an event that starts at `startTime` and ends at `endTime`, inclusive. Two events are considered overlapping if...	[ { "from": "human", "value": "You are given a list of events `events` where each event is represented as an array of two integers `[startTime, endTime]`. The event `[startTime, endTime]` represents an event that starts at `startTime` and ends at `endTime`, inclusive. Two events are considered overlapping if ...
[ { "role": "user", "content": "def sum_digits_until_one(numbers):\n \"\"\"\n Takes a list of positive integers and returns the sum of each number's digits \n until the sum is a single digit.\n \n >>> sum_digits_until_one([15, 29, 32])\n [6, 2, 5]\n >>> sum_digits_until_one([1, 2, 3, 9])\...	[ { "from": "human", "value": "def sum_digits_until_one(numbers):\n \"\"\"\n Takes a list of positive integers and returns the sum of each number's digits \n until the sum is a single digit.\n \n >>> sum_digits_until_one([15, 29, 32])\n [6, 2, 5]\n >>> sum_digits_until_one([1, 2, 3, 9])\n...
[ { "role": "user", "content": "Which of the following reactions occur during calcination?\n - (a) \\( \\text{CaCO}_3 \\rightarrow \\text{CaO} + \\text{CO}_2 \\)\n - (b) \\( 2\\text{FeS}_2 + \\frac{11}{2} \\text{O}_2 \\rightarrow \\text{Fe}_2\\text{O}_3 + 4\\text{SO}_2 \\)\n - (c) \\( \\text{Al}_2\\text...	[ { "from": "human", "value": "Which of the following reactions occur during calcination?\n - (a) \\( \\text{CaCO}_3 \\rightarrow \\text{CaO} + \\text{CO}_2 \\)\n - (b) \\( 2\\text{FeS}_2 + \\frac{11}{2} \\text{O}_2 \\rightarrow \\text{Fe}_2\\text{O}_3 + 4\\text{SO}_2 \\)\n - (c) \\( \\text{Al}_2\\text{...
[ { "role": "user", "content": "What specific techniques can swimmers use to reduce drag and increase speed in long-distance races, and how do these techniques take advantage of the physics of fluid dynamics? Additionally, how can swimmers utilize slipstreaming or drafting to conserve energy and enhance their...	[ { "from": "human", "value": "What specific techniques can swimmers use to reduce drag and increase speed in long-distance races, and how do these techniques take advantage of the physics of fluid dynamics? Additionally, how can swimmers utilize slipstreaming or drafting to conserve energy and enhance their ...
[ { "role": "user", "content": "Calculate the number of radians that the minute hand of a clock turns through from 1:00 to 3:20.", "info": { "source": "GeneralThought-Feb25", "reference_answer": "-\\frac{14}{3}\\pi", "test_case": null, "think_content": null, "answer_content":...	[ { "from": "human", "value": "Calculate the number of radians that the minute hand of a clock turns through from 1:00 to 3:20." }, { "from": "gpt", "value": "<think>Okay, let's see. I need to figure out how many radians the minute hand of a clock moves from 1:00 to 3:20. Hmm, radians... right. So...
[ { "role": "user", "content": "Revise and enrich the given code function, suppress_all_occurrences. This function should take in two arguments: a list of positive integers, nums, and a positive integer, val. The function's job is to remove all instances of val from nums, replacing them with 0. Note, the orde...	[ { "from": "human", "value": "Revise and enrich the given code function, suppress_all_occurrences. This function should take in two arguments: a list of positive integers, nums, and a positive integer, val. The function's job is to remove all instances of val from nums, replacing them with 0. Note, the order...
[ { "role": "user", "content": "Can you provide an in-depth methodology for effective preparation strategies tailored specifically for the NAME_1 exam, ensuring to include techniques for both time management and anxiety reduction?", "info": { "source": "InfinityInstruct", "reference_answer": n...	[ { "from": "human", "value": "Can you provide an in-depth methodology for effective preparation strategies tailored specifically for the NAME_1 exam, ensuring to include techniques for both time management and anxiety reduction?" }, { "from": "gpt", "value": "<think>Okay, the user wants a detaile...
[ { "role": "user", "content": "Show that there exists a hyperreal number system that has the same cardinality as the real number system. Provide a detailed construction of such a system using a non-principal ultrafilter over the natural numbers.", "info": { "source": "natural_reasoning", "ref...	[ { "from": "human", "value": "Show that there exists a hyperreal number system that has the same cardinality as the real number system. Provide a detailed construction of such a system using a non-principal ultrafilter over the natural numbers." }, { "from": "gpt", "value": "<think>Okay, so I nee...
[ { "role": "user", "content": "Given the applications of graph theory in modeling state transitions and complex systems, how can graph theory be used to solve a problem involving signal attenuation through multiple layers of material, and what are the key benefits of using graph theory in this context?", ...	[ { "from": "human", "value": "Given the applications of graph theory in modeling state transitions and complex systems, how can graph theory be used to solve a problem involving signal attenuation through multiple layers of material, and what are the key benefits of using graph theory in this context?" }, ...