text large_stringlengths 2.1k 425k | license large_stringclasses 1
value | metadata dict | uuid large_stringlengths 36 36 |
|---|---|---|---|
Question: Hexadecimal is experimenting with creating interesting graphs, similar to her previous work. This time, she is working with a special type of graph called a 'polyiodide graph'. A polyiodide graph is an undirected graph where each vertex represents an atom, and each edge represents a bond between atoms. The gr... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 2ef41147-57d1-4c5a-ae30-7acca5187de4 |
Question: In a cosmic simulation, Little Gerald and his coach Mike engage in a game involving the manipulation of atomic elements. Initially, there are n hydrogen atoms and m helium atoms available. Gerald and Mike take turns, with Mike going first. During each of Mike's turns, he calculates the score based on the numb... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 49e74209-1ba1-46a7-86ca-fb2e9f8e5c23 |
Question: Boboniu has designed a complex chess game where each cell on a $n \times m$ grid represents a reaction vessel containing a solution of hydrogen peroxide ($H_2O_2$) with a catalyst (iodide ion, $I^-$). The reaction mechanism involves two steps: $H_2O_2 + I^- \xrightarrow{k_1} H_2O + IO^-$ and $IO^- + H_2O_2 \x... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 7774822f-8ebd-42c8-b042-09f0ce568b74 |
Question: In your research on exoplanetary atmospheres, you have developed a method to estimate the age of distant planets by analyzing the mass ratio of Pb-206 to U-238 in their soil samples. This method involves simulating the decay process of U-238 into Pb-206 over billions of years. Given four integers $n$, $B$, $x... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 756750e1-940e-426f-a6b8-f35d9a02078a |
Question: You are developing an interactive system to optimize the operational parameters of a hydrogen fuel cell across different temperatures. The hidden number ( x ) represents the optimal operational temperature in Kelvin for the fuel cell to achieve its maximum thermodynamic efficiency under specific conditions. T... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 68c4981e-db78-43da-bcef-f02d924f5715 |
Question: In a rock-paper-scissors tournament, n players are standing in a row, each with a pre-chosen shape ('R', 'P', or 'S'). Additionally, each player holds a solution containing a polymer with a specific functional group. When two players play a match, not only do they determine the winner based on rock-paper-scis... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 12320714-d9ad-4fd7-8516-7ecec35cad6b |
Question: In a galaxy far, far away, Lesha the student has an exam in two days and realizes he needs to study diligently. He can study for at most $a$ hours today and $b$ hours tomorrow. Lesha knows that the $k$-th lecture note requires exactly $k$ hours to read. Lesha can read the notes in any order but cannot start r... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | b318e22a-e935-4090-a5d7-8e02914d0cec |
Question: The given string s is a domain name if it contains the characters "a"-"z", "0"-"9" and dots. No two dots should follow one after another (consecutive). The dots split the given string s into the parts, the last (most right) part should have the length 2 or 3. Domain can't start or end with a dot.
Consider a ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 890d61cb-6eba-465d-9480-89f761f8ca5f |
Question: The development team of BerPhone X is working on optimizing the storage of application icons. Each of the n applications installed on the phone belongs to a specific category, represented by an integer between 1 and n, inclusive. The i-th application has category c_i. To manage the storage efficiently, the te... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | a435b3e2-e546-4613-8432-8cf5a1285981 |
Question: G: Reactive DFS
Consider an undirected tree G consisting of N vertices and N-1 edges, with no self-loops or multiple edges. Each vertex is numbered from 1 to N, and each edge is numbered from 1 to N-1, connecting vertices u_i and v_i. A non-negative integer A_i is assigned to the i-th vertex, representing th... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 5ea087a1-14ae-4258-98ea-27de08fc3d99 |
Question: Grandma Capa has decided to knit a scarf and asked Grandpa Sher to make a pattern for it, a pattern is a string consisting of lowercase English letters representing different chemical ions. Grandpa Sher wrote a string $s$ of length $n$. Grandma Capa wants to knit a beautiful scarf, and in her opinion, a beaut... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 7f35bec9-c549-4129-bd5d-a1ef758eeda4 |
Question: Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as well. However, Nastya also has been studying chemistry and decided to incorporate some chemical concepts into her math... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 89bc626e-0751-49a0-aa35-9985f53f857c |
Question: Prof. Slim has been tasked with optimizing a historical silver smelting process. The process involves a mixture of silver sulfide (Ag₂S) and lead sulfide (PbS) compounds, represented by an array where positive values indicate Ag₂S and negative values indicate PbS. Prof. Slim aims to sort the mixture in non-de... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | be14b2cb-cb68-4a76-b30f-f5c43b8e6591 |
Question: In a modified version of Alica and Bob's game, the players now manipulate a sequence of electrochemical cells represented by a binary string s of length n, where each character indicates the state of charge in a cell (1 for fully charged and 0 for discharged). Alice and Bob take turns, with Alice starting fir... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 34c05b7a-dc29-41af-9050-0a55a080ab27 |
Question: In a laboratory experiment, you are given an array $a$ of $n$ integers representing the concentrations of different chemical compounds in a solution. You are tasked with finding the number of pairs $(i, j)$ ($1 \le i < j \le n$) where the combined concentration of compounds $a_i + a_j$ is suitable for forming... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | a6005c1a-fa27-4821-a632-70a9a5625b7e |
Question: The city of Kyoto is a famous tourist destination for old temples and shrines. Ikta came to Kyoto sightseeing with a few friends, but as a result of all acting freely, they all got lost. So Ikta decided to think about where to meet in order to meet everyone as soon as possible. Kyoto's roads run innumerably a... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | b731cdc0-5753-4ebe-81e2-33f5d096c95f |
Question: In a biochemical lab, you are managing a series of buffer solutions containing various ions. Initially, the buffer solution is empty. You perform a series of operations involving adding and removing ion concentrations, as well as querying for specific properties. There are five types of queries:
1. Insert a ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | ca8851d7-a2c0-41a4-bac3-2bceecb2f3d3 |
Question: You are given a tree that consists of $n$ nodes. Each node represents an electrochemical cell, and each edge represents a connection through which current can flow between cells. You need to label each of its $n-1$ edges with an integer in such a way that satisfies the following conditions: each integer must ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 1dca2555-7871-4000-9787-0e8c9c8baec6 |
Question: Jota made a scale as shown in the figure below using a stick with a length of $ 2L $. The rods are evenly spaced with $ 2L + 1 $ holes, from left to right: $ -L, -L + 1, \cdots, -1, 0, 1, \cdots, L-1, L $. It is numbered. And the place of the hole of No. $ 0 $ is hung from the ceiling with a string. Jota hung... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 151aa968-3521-48a1-a180-d007374af8bb |
Question: The stardate is 1977 and the science and art of detecting Death Stars is in its infancy. Princess Heidi has received information about the stars in the nearby solar system from the Rebel spies and now, to help her identify the exact location of the Death Star, she needs to verify the consistency of the provid... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 776c24a0-c70e-4af8-a731-f4b037167105 |
Question: A researcher is analyzing a volcanic gas sample collected in a syringe containing initially 20 cm³ of a 5 mol/dm³ NaOH solution. After sampling, the total volume in the syringe is 50 cm³, with 38 cm³ occupied by a liquid component. The researcher then determines that the white precipitate formed after adding ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 57223145-874d-42d4-a7b2-d7280875bb6d |
Question: Calibrated Palindrome Engines
A set of specialized palindrome engines are designed to find palindromic numbers through a thermodynamic process. Each engine is equipped with a calorimeter to measure the heat generated during the combustion of hydrazine derivatives. The engines use hydrazine (N₂H₄), methylhydr... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 958ad4f1-5da8-4204-99c0-da93c7bd8deb |
Question: Little Stuart has reached the final level of 'Code Hunt', the annual treasure hunt organised by HackerEarth. Now for the final level, Little Stuart has to choose a door from an infinite number of doors numbered from 1 to infinity. Only one door contains the grand prize. The clue for finding the correct door i... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 983984c9-5311-4617-b76e-cd5440bb1bb6 |
Question: A student, Kita_masa, is taking an advanced materials science examination. In this examination, he has to write a sentence of length m using specific chemical formulas he knows, representing the intermediate compounds formed during the smelting process of silver and lead ores. Since he completely forgot the c... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 6241c5d1-586e-4b04-8812-064caebb5ad7 |
Question: You are given a string representing the amino acid sequence of a protein. Your task is to perform two main analyses on this sequence:
1. Calculate the percentage of basic amino acids (Arg and Lys) in the protein sequence.
2. Assuming the protein forms an alpha helix, compute the length of this alpha helical ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 707d269c-59cd-4b19-8040-ea55ea3a80f1 |
Question: Information technologies are developing and are increasingly penetrating into all spheres of human activity. Incredible as it is, the most modern technology are used in farming!
A large farm has a meadow with grazing sheep. Overall there are n sheep and each of them contains a unique number from 1 to n — bec... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | e36d23a9-fe8c-4e93-bcb4-3b64c0407fc5 |
Question: In the video game Step Step Evolution, players must navigate through a series of directional arrows to achieve a perfect score. The game introduces a new feature where each sequence of arrows corresponds to a molecular structure, specifically a conjugated system of carbon atoms similar to butadiene. The game ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 61acdcd3-2427-48b0-a0d8-fe6390284db7 |
Question: Rick is planning to use supercritical carbon dioxide (CO2) to optimize the growth conditions for his unique spruce trees in a controlled environment. Each spruce tree in his n × m matrix requires specific pressure conditions to thrive. Rick defines a spruce of height k with origin at point (x, y) as follows:
... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | bafa0a1d-5c40-47e2-bbcb-4faa322d7144 |
Question: Valera is a little boy who is fascinated by both mathematics and chemistry. In his latest experiment, he heated a mixture of metallic iron with freshly prepared iron (II) and iron (III) oxides in a closed vessel in the atmosphere of hydrogen. An amount of 4.72 g of the mixture when reacted, yielded 3.92 g of ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | efa4c561-e480-4754-a54b-7a7ab4229ed6 |
Question: In 2013, the writers of Berland State University need to prepare problems for n Olympiads. Each Olympiad is numbered with consecutive integers from 1 to n. For each Olympiad, we know how many members of the jury must be involved in its preparation, as well as the time required to prepare the problems for it. ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 9b056b05-bdfe-4ab8-af45-c7b859bcd132 |
Question: Rasta calls a number like a Tavas if and only if 1 ≤ a ≤ n and the sum of all primes (like p) that p | a is exactly equal to k. Rasta now has a different interest in these numbers. He uses each Tavas number a to represent the initial mass of a sodium chloride (NaCl) solution in grams. This solution has a norm... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 3e1c3ee6-8dbd-467c-919b-fef2f703424a |
Question: In the ongoing ecological crisis caused by the overpopulation of beavers, a group of scientists has developed a revolutionary device called "Beavermuncher-0xFF". This device is designed to combat the beaver infestation by consuming them for energy. The device operates by moving along the branches of a tree, c... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 97bfc7a8-37fa-414c-bd7a-f1ad96ac1bac |
Question: In a distant galaxy, you are given an array $a$ consisting of $n$ integers numbered from $1$ to $n$. Each integer in the array represents a unique atomic element in a planetary system, where the integer value corresponds to the atomic number of the element. The stability of these elements is governed by the s... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 958a7441-77b3-4c90-a258-f845c406dd1c |
Question: In a laboratory setting, you are tasked with determining the concentration of fluoride ions in a solution using complexation reactions. The experiment is conducted in a classroom-like environment with $n$ rows and $m$ columns of reaction sites, represented as an $n \times m$ matrix. Each site is either availa... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 4a597c95-fb96-40e0-8ace-b70b42e6c0fa |
Question: A unique variation of the Blackjack game involves environmental factors that influence how the cards are scored. The game is played under varying pH conditions, and the presence of certain substances can alter the scoring rules. If the pH level is below 7.0, cards valued 1 can only be counted as 1 point. Card... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 58130a68-0779-4bcb-be00-e4feb97535f6 |
Question: Scientists are investigating the relationship between the ionization energies of metals and the structural integrity of mountains composed primarily of these metals. They have measured the ionization energies (in electron volts) of ten metal samples and recorded the heights (in meters) of ten mountains, each ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 0160f3ff-8d4d-43e2-a5cb-d7348bbe5d71 |
Question: Ebi-chan loves directed graphs and is also deeply interested in chemical reactions. One day, a directed graph with N vertices and M edges dropped from somewhere in front of Ebi-chan! The vertices and the edges of the graph are labeled with a number from 1 to N and from 1 to M, respectively. Moreover, the ith ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | c29b24d0-5399-4f35-832c-98bd5e0a825e |
Question: Berlanders like to eat cones after a hard day. Misha Square and Sasha Circle are local authorities of Berland. Each of them controls its points of cone trade. Misha has n points, Sasha — m. Since their subordinates constantly had conflicts with each other, they decided to build a fence in the form of a circle... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | afafb958-f6be-4313-a58c-952e59e6714f |
Question: You're given an array b of length n. Let's define another array a, also of length n, for which a_i = 2^{b_i} (1 ≤ i ≤ n). Valerii claims that every two non-intersecting subarrays of a have different sums of elements. To test this claim, you need to determine if he is wrong. More formally, you need to determin... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 58b1a142-b984-4c7a-a5e5-9428887c556f |
Question: As an army personnel in the great army of the Zorin race, you find yourself and your team of n people captured by an intergalactic species. Captain Bruno has devised a game to determine who gets to restart your kingdom. Each of the n people must choose a unique integer from 1 to n. They are then arranged in a... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 76284bc1-6555-4fdb-ab74-b501d1b99672 |
Question: In the year 20XX, a scientist developed a powerful android with biotechnology, integrating cells of combat masters. To counteract the android threat, N warriors are undergoing rigorous training in the mystical SRLU room of the sky city AIZU. The room can accommodate up to two warriors at a time, enhancing the... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | e2f373d2-dec4-4fd8-8d64-eafa11c831d7 |
Question: You have a rectangular chocolate bar consisting of n × m single squares. This chocolate bar is made from a special mineral similar to Laumontite, which has a specific crystalline structure and hydrates in moist environments. You want to eat exactly k squares, so you may need to break the chocolate bar. In one... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | a4332991-6efb-4e10-aedf-ce7a18fe2957 |
Question: Aizumaru, the notorious phantom thief of Aizu, has devised a sophisticated plan to steal horse sticks from the detectives of the city. To aid in his thievery, he uses a specialized acid called 'Eyes Acid', which has unique properties influenced by its dissociation constants K₁ = 1.1 × 10⁻³ and K₂ = 2.6 × 10⁻¹... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 6eb13ef8-0aff-4f58-ba86-9dcb41b246f8 |
Question: A chemist is preparing a series of solutions by mixing different reagents. Each solution is characterized by a triple (xa, ya, za) where xa is the molar concentration of Cu²⁺ ions, ya is the molar concentration of Cl⁻ ions, and za is the molar concentration of SO₄²⁻ ions. The chemist has a set of m explicitly... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 43994d58-f58d-45c8-8ed2-21d990912614 |
Question: Nastya just made a huge mistake and dropped a whole package of rice on the floor. Mom will come soon. If she sees this, then Nastya will be punished. To distract her, Nastya decides to conduct a quick experiment using the spectrophotometer to measure the absorbance of light at 590 nm for different solutions i... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 9248e938-9d1f-4908-8bf3-6e67adf57d0c |
Question: In a chemical process, a reactant $X$ decomposes into two products $Y$ and $Z$ through a series of steps: [X(g) \rightarrow Y(g) + Z(g)] The decomposition is believed to follow a two-step mechanism where the first step is fast and reversible, and the second step is slow: [X(g) \rightleftharpoons X^*(g) \quad ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 18f78d38-32dc-479c-81dd-6b1f5c2a6a22 |
Question: In the advanced research lab of the year 5555, you are studying a network of interacting enzymes. This network is represented as a graph where each vertex represents an enzyme and each edge represents a direct interaction between two enzymes. Your objective is to analyze the network to find either a group of ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 95f409c5-e61b-44fb-9ba8-a844144eb400 |
Question: Little X has n distinct integers representing temperatures in Kelvin: T1, T2, ..., Tn. He wants to divide these temperatures into two sets A and B. The following conditions must be satisfied:
- If temperature T belongs to set A, then temperature a - T must also belong to set A.
- If temperature T belongs to ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | bcc0708e-7847-4706-8ee8-6a532fd9720d |
Question: Everyone knows that long ago on the territory of present-day Berland there lived Bindian tribes. Their capital was surrounded by n hills, forming a circle. On each hill there was a watchman, who watched the neighbourhood day and night. In case of any danger the watchman could make a fire on the hill. One watc... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 62b24161-a708-4167-be49-a45fda5a7763 |
Question: Amy is working on a project involving the extraction of an essential oil from a plant. She writes down the molecular structure of a compound involved in the process, but due to her excitement, she turns the paper upside down. To ensure the integrity of her experiment, she needs to verify if the molecular stru... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | aaa581d2-1693-4ebd-9a90-fd07f5d5b85c |
Question: In a molecular structure represented by a directed graph G with N vertices and M edges, each edge i represents a chemical bond between atoms x_i and y_i, where x_i < y_i, and there are no multiple edges. The vibrational energy level of each bond is determined using the harmonic oscillator model, where the vib... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | dba17a07-fbff-44fa-9c9f-2275f8eb1944 |
Question: You are tasked with developing a secure password system for a laboratory management software. The system must ensure that passwords are complex enough for security purposes while also incorporating a unique feature to encode the concentration of specific metal ions (Fe3+, Al3+, Mg2+) detected during a complex... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 8e1cd01d-50b3-4b01-888e-6569142e4d05 |
Question: Johnny is preparing for a grandmaster competition by solving problems on an online judge. Each problem in the i-th category is worth p^{k_i} points, where p is his favorite number. Johnny aims to solve these problems over two weeks, balancing his workload based on environmental conditions. The online judge ha... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 32468fd6-426d-4506-b1a0-5f39f68fd393 |
Question: Consider a quantum system where an electron is confined to move within a box of length $L$ along the x-axis. The wave function of the electron, $\psi(x)$, must satisfy the boundary conditions $\psi(0) = 0$ and $\psi(L) = 0$. These conditions lead to quantized energy levels and wave functions of the form $\sin... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 5bae027f-a853-4c1f-a16d-b8f97377e91e |
Question: Monocarp and Polycarp are collaborating on a project that involves both software development and electrochemical experiments. They have been working together on the same file for n + m minutes. Every minute exactly one of them made one change to the file. Before they started, there were already k lines writte... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 13d838df-61b3-4382-956a-b4fe9bfeef1c |
Question: In a controlled chemical experiment, you are given a set of n compounds, each represented by an integer. These integers denote the initial state of the compounds. Your objective is to transform these compounds into a set of target states, also represented by integers, using a series of bitwise XOR operations.... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 19813ed1-2599-41d0-a70b-053931f032c1 |
Question: Consider a sequence of temperatures $a$ representing the temperature readings along a linear thermal conductor. This conductor is divided into segments, where some segments represent regions of uniform heating (strictly increasing temperatures) and others represent regions of uniform cooling (strictly decreas... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | c362f296-0c6c-4567-b93c-b13f9b93c88f |
Question: In Arpa's land, a unique chemical reaction occurs when studying the properties of certain solutions. During an experiment, Arpa noticed that in the presence of 2 drops of p-ethoxychrysoidine indicator (0.2% in ethanol), a solution changes color based on the concentration of bromine ions. The red solution turn... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | e450861a-fe82-4762-a3d2-d81129f88196 |
Question: In a city network, there are N cities and M bidirectional roads connecting them. Each road has an associated travel time in minutes. Additionally, each city produces a unique chemical compound with a known molecular weight. Given a list of queries, for each query, determine the total travel time required to r... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 0a712670-d7d6-4afa-85e2-78729147bf14 |
Question: You're tasked with analyzing a network of lunar research stations represented as an undirected graph with $n$ nodes and $m$ edges. Each node corresponds to a station where various lunar minerals, including plagioclase and quintessence, have been studied. Edges denote direct communication channels between stat... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 3727d062-2c81-45a8-8727-5346cac436d0 |
Question: Farmer Feb has three fields with potatoes planted in them. He harvested x potatoes from the first field, y potatoes from the second field, and is yet to harvest potatoes from the third field. Feb is very superstitious and believes that if the sum of potatoes he harvests from the three fields is a prime number... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | bd1a01dd-b8d6-4c70-baa3-1724859d2d07 |
Question: A binary string is a string consisting only of the characters 0 and 1. You are tasked with designing a smart home system where each room's heating system is controlled based on the binary string representing the room's heating status. The binary string $s_1 s_2 \ldots s_n$ indicates whether each section of th... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | a3c1e834-b619-4f5a-a43b-3db0354db90a |
Question: Willem is conducting a series of chemical experiments on a sample of ilmenite ore to synthesize titanium dioxide. The initial string representation of the ore sample consists of various characters, where each character represents a different element or compound. Willem performs m operations, each defined by f... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | fb156139-d5f4-47f6-a7c8-2ad164613ef2 |
Question: Polycarp is decorating his house for New Year using a new service called "Build your own garland". You can buy some red, green and blue lamps, provide them and the store workers will solder a single garland of them. The resulting garland will have all the lamps you provided put in a line. Moreover, no pair of... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 579f47c7-3dd7-42d6-b84d-8178f7c7d35b |
Question: You are conducting a series of experiments in a chemistry lab where you need to determine if two solutions, represented by strings of equal length, can be transformed into each other through a series of adjacent character swaps. This process mirrors the preparation of potassium iodate, where specific reaction... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 10d3438f-b318-447b-8b8f-c0733ed8c2e3 |
Question: A Little Elephant and his friends from the Zoo of Lviv like candies very much. However, the Zoo also conducts chemical experiments to ensure the health of their animals. Iron supplements are crucial for the elephants' diet. The zookeeper needs to determine if the iron supplements are correctly formulated befo... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 0fea124d-4708-4c8d-9e92-c9c565c8cf8b |
Question: The New Year celebrations in Berland last n days. Only this year the winter is snowless, that's why the winter celebrations' organizers should buy artificial snow. There are m snow selling companies in Berland. Every day the i-th company produces wi cubic meters of snow. Next day the snow thaws and the compan... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | b2fd017a-74c3-442f-8a9b-605969a6bc64 |
Question: Leha decided to move to a quiet town Vičkopolis, because he was tired by living in Bankopolis. Upon arrival he immediately began to expand his network of hacked computers. During the week Leha managed to get access to n computers throughout the town. Incidentally all the computers, which were hacked by Leha, ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | bd85a089-a965-49f7-9894-f9b861c5e2d5 |
Question: Berland's transportation network consists of n cities connected by m bidirectional roads. The capital, city 1, can reach any other city via these roads. The government aims to repair exactly n-1 roads to minimize the total distance from the capital to all cities while ensuring the network remains connected. A... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | e861a836-e308-4415-8628-7e76d7a020ad |
Question: One day in the cold winter, JOI Taro decided to conduct an experiment on a rectangular ice-covered plaza divided into m sections in the east-west direction and n sections in the north-south direction, forming an m × n grid. Each section may or may not have thin ice. JOI Taro plans to break the thin ice accord... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | d4dfa9a1-9387-401b-9ac3-0bc4bad310f1 |
Question: Vanya has a set of scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya also has a special chemical compound that can exist in two diastereomeric forms: A-form and B-form. When exposed to ultraviol... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 543c5108-b6ad-4303-a0cb-cdf095ddfc58 |
Question: You are the owner of a high-tech restaurant, and you are serving for N customers seating in a round table. Each customer is equipped with a special device that measures the effective mass of spherical particles suspended in water at 20 °C. These devices are used to enhance the dining experience by providing r... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 61449e46-a34f-41eb-af52-8f3ff8a1362a |
Question: Daisy is a senior software engineer at RainyDay, LLC. She has just implemented three new features in their product: the first feature makes their product work, the second one makes their product fast, and the third one makes their product correct. The company encourages at least some testing of new features, ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | a8b595e1-33cf-4dfe-82f6-acecd7911ccd |
Question: In the maintenance of the International Space Station Alpha, Koa the Koala is responsible for ensuring the water quality through the use of iodine as a disinfectant. The water contains equilibrium reactions involving $I_2$, $I^-$, and $I_3^-$, with the equilibrium constant for the reaction $I_2(aq) + I^-(aq) ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 6c1267e6-0ee9-43c9-8b3b-72059dfbc3c1 |
Question: Mike is studying the concentration of a radioactive isotope in a lake represented by an array $a$ of length $n$. Over time, the isotope decays naturally according to a first-order rate process with a decay constant $\lambda$. Additionally, a fraction of the isotope is removed from the lake through a purificat... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | a78c48a7-94b6-483d-a7c2-2a5926f63fd8 |
Question: In a laboratory setting, a solid electrolyte with a $CaF_2$ crystal structure is used to facilitate the movement of oxide ions between two porous Pt electrodes under high temperatures. During an experiment, an electric current of 1.93 A is passed through the electrolyte for 500 seconds. This current facilitat... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 1360c4c5-3b98-4686-991e-222c1d248adf |
Question: The hero is engaged in a battle against a powerful monster, utilizing a set of $n$ magical skills. Each skill is of a specific type, either fire ($a_i = 0$) or frost ($a_i = 1$), and possesses an initial damage value $b_i$. The hero can execute these skills in any sequence, with each skill used exactly once. ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | c9f35c53-2e73-49ca-bfea-ebe51ad3a708 |
Question: Drazil is developing a new type of solar panel that consists of an n × m grid of photovoltaic tiles. Each 1 × 2 tile can be placed either horizontally or vertically to cover all empty cells in the grid. The tiles are made of a material with a known molar absorptivity and dye concentration, and they absorb lig... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 7a79cd55-81fa-4c04-a7db-2f04b152e6a1 |
Question: During a Quidditch practice session, Harry Potter notices that the Golden Snitch behaves differently due to the presence of a magical surfactant solution. The Snitch follows a predefined polyline with vertices at the points (x0, y0, z0), (x1, y1, z1), ..., (xn, yn, zn). The Snitch's speed vs at any point (x, ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | cced43fa-27ef-4b2c-a2b6-0247231e112a |
Question: The Bytelandian Institute for Biological Research (BIBR) is investigating the properties of two species of bacteria, named simply 0 and 1. Even under a microscope, bacteria of those two species are very difficult to distinguish. In fact, the only thing the scientists possess that is able to differentiate betw... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | fe6508ba-08a4-4c2b-9ca4-fb15fc256391 |
Question: Petya's latest obsession is the creation of a naming system for large numbers inspired by polymer chemistry. He defines a new term, 'petricium', which represents a base number k. In his system, 'petricium la petricium' represents k^2, 'petricium la petricium la petricium' represents k^3, and so forth, akin to... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 7741400c-ffcf-4ef8-a165-767bde7c9f94 |
Question: Today Johnny wants to increase his contribution. His plan assumes writing n blogs. One blog covers one topic, but one topic can be covered by many blogs. Moreover, some blogs have references to each other. Each pair of blogs that are connected by a reference has to cover different topics because otherwise, th... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 3b28aa0e-dfce-424b-82a4-01ae7f17771c |
Question: You are studying the metabolic pathways of a type of acidogenic Clostridium bacteria capable of fermenting glucose under specific conditions. During this process, the bacteria produce a mixture of gases and carboxylic acids according to the following reaction equation:
$5 C_{6}H_{12}O_{6} + k H_{2}O \rightar... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 4503bd91-6e18-4bbb-9401-c68591a75543 |
Question: Consider a series of n hypothetical alkali metal atoms arranged in a permutation a of length n, where each element in the permutation represents a unique atom. These metals have specific ionization energies and lattice energies when they form oxides, peroxides, or superoxides with oxygen. Due to their strong ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | d86970ea-6a44-4ebb-9e26-9194cb347db0 |
Question: In an attempt to escape the Mischievous Mess Makers' antics, Farmer John has abandoned his farm and is traveling to the other side of Bovinia. During the journey, he and his k cows have decided to stay at the luxurious Grand Moo-dapest Hotel. The hotel consists of n rooms located in a row, some of which are o... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | e64bf49b-adcf-4828-90e6-ec228b7f04d7 |
Question: AtCoDeer the deer wants a directed graph that satisfies the following conditions:
* The number of vertices, N, is at most 300.
* There must not be self-loops or multiple edges.
* The vertices are numbered from 1 through N.
* Each edge has either an integer weight between 0 and 100 (inclusive), or a label `X`... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 61f090e7-1e34-46af-9a8d-5feb67892717 |
Question: In a mystical village, the annual appearance of Nian, a ferocious sea monster, is met with a unique defense mechanism involving lanterns. Little Tommy and Big Banban each possess a collection of lanterns with distinct brightness levels. Tommy's lanterns have brightness levels a1, a2, ..., an, and Banban's hav... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 8d52532f-565c-4b81-87b7-7fa5b53e9ea5 |
Question: Vasya is now playing an enhanced version of Power Defence where the game world is influenced by environmental factors such as temperature. The Main Villain moves in a straight line at a speed of 1 meter per second from the point (-∞, 0) to the point (+∞, 0) of the game world. In the points (x, 1) and (x, -1),... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 0775d612-2d59-4608-b574-c5ed0f86f48a |
Question: ### Advanced RLE Replacement in Chemical Analysis
In the JAG Kingdom, ICPC (Intentionally Compressible Programming Code) is utilized for managing large-scale chemical analysis data. Due to the repetitive nature of certain data patterns, ICPC programs often contain sequences of the same characters representin... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 43edfe81-a4d1-4dbc-81c9-6994661cf723 |
Question: When Mr. Kay was browsing a certain SNS as usual, the problem that "there are people who can solve IQ150 or more" came to the timeline. Mr. Kay has an IQ of over 150, so he solved the problem in an instant without even looking at it. For him, he doesn't have to work on such a mystery. It is enough to leave it... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | dc21be13-15ef-41eb-a475-4245e2fdb8f7 |
Question: Consider an integer N representing the maximum volume (in milliliters) of a weak acid solution (acetic acid, CH3COOH) with a concentration of 0.1000 mol dm^-3 that can be titrated with a sodium hydroxide solution (NaOH, c = 0.1000 mol dm^-3). Determine the number of positive integers less than or equal to N f... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 9d384717-f900-43db-a1e9-ab63d3438e3d |
Question: Great Demon King Megumi plans to use a special explosive magic to defeat the $ N $ heroes living on the ground. She can cast the magic up to $ M $ times, each with a certain probability of success based on the equilibrium constant $ K_x $, which depends on the temperature $ T $. The magic creates a zone of de... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 3bdaee33-5121-43f8-9550-caad1f4af89a |
Question: In a recent experiment, Sifid observed that a newly synthesized compound with the formula $C_xH_yN_zO_wCl_u$ dissolves in dilute hydrochloric acid due to a specific atom's reactivity with hydrogen ions. The compound remains insoluble in water and bases, implying that the reactive atom does not form stable bon... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 6808fb5d-5fd2-468f-8bdb-40d7b88160ae |
Question: Little Elephant from the Zoo of Lviv likes cards. He has N cards, each of which has one of 1000 colors. The colors are numbered from 1 to 1000. Little Elephant and Big Hippo are playing the following game. At first Little Elephant takes some subset of cards, and Big Hippo takes the rest of them. Here, Little ... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | a25f913f-3029-4aa1-92f5-ecb9179b0e9c |
Question: A scientist is studying the degradation of phenol in a solution under specific conditions. To monitor this process, the scientist generates a FizzBuzz String based on the time (in minutes) it takes for a certain amount of phenol to degrade. The FizzBuzz rules are adjusted as follows:
- 'Fizz' when the degrad... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | dc8c0b13-4bcf-45ca-bafd-c74b27027e7f |
Question: Consider an integer a (1 ≤ a ≤ 30) representing the side length of a cube. Verify whether the volume of the cube, calculated as a^3, satisfies a specific property: it should be expressible as the sum of three positive integers each raised to the power of three. Output 'Yes' if such a representation exists, ot... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | cd13d608-2279-4c0d-a99a-306733ba7613 |
Question: Expression Mining in Intergalactic Space
In the vast expanse of the intergalactic space, hydrogen atoms traverse through the cosmos with an average speed governed by thermal energy. Consider an arithmetic expression built by combining single-digit positive integers with addition symbols `+`, multiplication s... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 0b5a1055-801e-40cb-a455-061c7dcfef3a |
Question: In a right triangle ABC with ∠ABC=90°, the lengths of the three sides are given as |AB|, |BC|, and |CA|. Consider the molecular structure of butadiene, a hydrocarbon with the chemical formula (C_4H_6), which has a specific (pi)-electron system contributing to its stability and reactivity in chemical reactions... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | ccce1626-890f-4f92-aea7-397f382afa7e |
Question: In a study of modified plastocyanin (PC), a protein crucial for electron transfer in photosynthesis, researchers are investigating how the protein can transition between different oxidation states of copper ions. These transitions are governed by electron transfer processes, which can be modeled mathematicall... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | 49dde1a9-2d17-44f6-9728-1a9997e887ad |
Question: Taro is conducting a series of experiments to study the formation of various copper-ammonia complexes. He has N vacant lots on a two-dimensional plane, where he plans to set up his experimental stations. Each station is assigned a unique number from 1 to N and is located at specific coordinates (xi, yi) on th... | cc-by-4.0 | {
"category": "Nemotron-Pretraining-InfiniByte-Reasoning",
"models_used": "QwQ-32B"
} | df118021-2e5c-4d24-a69f-19210209a418 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.