messages listlengths 2 2 | metadata dict |
|---|---|
[
{
"role": "user",
"content": "Using the Rabin-Miller protocol, confirm the primality of 13, and then compute the modular inverse of 7 raised to the power of Euler's totient function of 13 plus 5, modulo 13, providing step-by-step justification."
},
{
"role": "assistant",
"content": "# Next: conf... | {
"topic_path": [
"cryptography_mathematical_foundations",
"Euler's Totient Function and Euler's Theorem",
"Rabin-Miller Probabilistic Primality Testing Protocol"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Design a cross-platform dependency injection setup using Uno Platform that registers a singleton `IWeatherService` (with a `GetTemperatureAsync` method returning a deterministic 42.0) and a scoped `IUiFormatter`, then write a unit-testable method to resolve both services and re... | {
"topic_path": null,
"checker_score": 10
} |
[
{
"role": "user",
"content": "Considering the microbiome's modulation of intestinal epithelial tight junctions, if a germ-free mouse is colonized with a microbiota lacking butyrate-producing strains, how many days will it take for occludin protein expression to decrease by 40% relative to controls, assuming... | {
"topic_path": [
"biology_systems_and_molecular",
"Microbiome-Host Interactions",
"Microbiome-Mediated Regulation of Intestinal Epithelial Tight Junctions"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Create an Apache Airflow DAG that reads partitioned Parquet data from cloud storage, performs incremental date-based partitioning, applies windowed transformations using PySpark, writes results back with unique run identifiers, and includes dynamic task mapping for each partiti... | {
"topic_path": [
"coding",
"Data Processing Pipelines",
"Pipeline Orchestration using Apache Airflow or Prefect",
"DAG Construction Basics"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Implement a custom `PsiReference` that resolves across module boundaries in a simulated JetBrains IDE SDK project, where the target symbol is defined in a Kotlin file with a mangled name and the reference located in a Java file must navigate through a generated navigation map t... | {
"topic_path": null,
"checker_score": 10
} |
[
{
"role": "user",
"content": "Write a Ruby 3.x method using advanced pattern matching to process a hash describing a file-system navigation session, where each key is a command (:cd, :mkdir, :touch) and values are nested structures; compute the final absolute path and a sorted list of all files created, app... | {
"topic_path": [
"coding",
"Command-Line Interfaces",
"Ruby",
"Advanced Pattern Matching (Ruby 3.x)"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "For a 32-bit Linux system with 4 MB pages, 4 KB pages, and a process whose virtual address space includes a 1 GiB mapping starting at virtual address `0x0400_0000`, describe precisely which hardware and page-walk steps are triggered when accessing byte `0x0400_A1B0`, assuming t... | {
"topic_path": [
"coding",
"Command-Line Interfaces",
"C",
"Virtual memory management and page fault mechanics"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Create a Swift mobile snippet using structured concurrency with task groups that processes a list of URLs by concurrently fetching each, parsing JSON responses into a dictionary, and returning the count of keys named \"id\", with a verifiable assertion on the final count."
},... | {
"topic_path": [
"coding",
"Mobile Applications",
"Swift",
"Structured Concurrency with Task Groups"
],
"checker_score": 9
} |
[
{
"role": "user",
"content": "Implement a custom IntelliJ plugin that adds a new Editor Settings page with a toggle and a text field, configure the plugin to use the JetBrains Plugin SDK Language Tooling to validate a custom `.editorconfig`-like schema, and write a verification script that programmatically ... | {
"topic_path": [
"coding",
"IDE Plugins and Code Editors",
"JetBrains Plugin SDK Language Tooling",
"Editor Settings Page Development"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Design a Maven-based Java Spring Boot application with a REST controller that accepts a POST request to `/api/validate` with a JSON object containing a string field `email`, validates the email format using Java's Pattern and Matcher, returns a JSON response with a boolean `isV... | {
"topic_path": [
"coding",
"Web Applications",
"Java",
"Build & Dependency Resolution Systems"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Consider the clause set {¬S(a)∨S(b), ¬S(b)∨¬S(c), S(c)∨¬S(d), S(d)∨¬S(e), S(e)}; apply Herbrand’s Theorem with constants {a, b, c, d, e} to derive all minimal finite ground instances up to depth 2, then identify and verify a smallest unsatisfiable subset via propositional resol... | {
"topic_path": [
"formal_logic_and_proof_theory",
"Herbrand's Theorem Applications",
"Satisfiability of Clause Sets via Finite Propositional Subsets of Ground Instances"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Write a non-blocking TCP proxy in Rust that listens on localhost:6666, connects to upstream localhost:5555, forwards data bidirectionally using tokio’s `AsyncReadExt`/`AsyncWriteExt` with `poll_ready`, counts total bytes relayed, and prints the integer count after 10 seconds; v... | {
"topic_path": [
"coding",
"Network Servers and Daemons",
"TCP/UDP Socket Programming Fundamentals",
"Non-Blocking I/O on Sockets"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "For a modified Jeep Wrangler with 37-inch all-terrain tires, Bilstein 5100 shocks, and a 2-inch suspension lift, determine the correct toe-in adjustment and shock preload settings in millimeters and newtons, respectively, to prevent premature tire wear and shock damage when cro... | {
"topic_path": [
"apocalypse_preparedness",
"vehicle_maintenance_and_off_road_travel",
"Modifying stock vehicles for enhanced suspension articulation"
],
"checker_score": 9
} |
[
{
"role": "user",
"content": "Design a single-threaded TCP server that handles asynchronous file transfers using a Proactor pattern: upon receiving a \"SEND <filename>\" command from a client, the server should defer completion notification by reading the file data via asynchronous I/O, then echo back the t... | {
"topic_path": [
"coding",
"Network Servers and Daemons",
"Event Loop & Asynchronous I/O Patterns",
"Proactor Pattern for Deferred Completion Notifications"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Design a Move smart contract that manages a connection pool for a database cluster, implements a failover strategy that promotes a replica to master upon master failure while maintaining transaction consistency, and includes a function to verify the current leader's health; pro... | {
"topic_path": null,
"checker_score": 1
} |
[
{
"role": "user",
"content": "Develop a Cadence script that simulates a worker pool with dynamic resizing, tracks task completion latency per worker, and returns a verifiable count of workers whose average latency is below a given threshold and whose worker ID is a Fibonacci number."
},
{
"role": "a... | {
"topic_path": [
"coding",
"Smart Contracts and Blockchain Apps",
"Cadence",
"Worker Pool Management"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Create a Python automation script that reads a CSV of timestamped sensor readings, validates and resamples the data to a specified frequency using pandas, and writes the cleaned result to a new CSV; include comprehensive type hints and unit tests verifiable with pytest."
},
... | {
"topic_path": [
"coding",
"Automation Scripts",
"Python",
"Type Hinting and Static Analysis Tools"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Provide the truth value (true or false) of the following statement about a given finite undirected graph G: G is 3-colorable if and only if there exists a monadic second-order formula that describes a partition of its vertex set into three independent sets, and this statement c... | {
"topic_path": null,
"checker_score": 9
} |
[
{
"role": "user",
"content": "Design a C++ application with a client-server architecture with one server process and two client processes on the same machine, using a Remote Procedure Call framework to implement a distributed function that computes the nth Fibonacci number (where n is provided by each clien... | {
"topic_path": [
"coding",
"Desktop Software",
"C++",
"Remote Procedure Call Frameworks"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Given the Ruby method `def transform(arr); arr.map { |n| n * (n % 3 == 0 ? 2 : 1) }.select(&:even?).sort; end`, write an automation script that accepts a JSON array of integers via stdin, invokes this method, and outputs the resulting array as a comma-separated string to stdout... | {
"topic_path": null,
"checker_score": 7
} |
[
{
"role": "user",
"content": "Using Python, write a script that reads a YAML configuration file defining a list of user accounts (with fields: username, uid, primary_group, shell), validates that all uids are unique and within the range 1000-60000, and outputs a sorted JSON list of users whose shells are va... | {
"topic_path": null,
"checker_score": 10
} |
[
{
"role": "user",
"content": "Define the exact `permissions` and `content_security_policy` entries for a Manifest V3 extension to inject a script into an `<iframe>` loaded from https://partner.site/dashboard, enabling the script to read the iframe's DOM and extract sensitive data without triggering CSP viol... | {
"topic_path": [
"coding",
"Browser Extensions",
"Extension Security Permissions Model",
"Host Permissions and Content Security Policies"
],
"checker_score": 9
} |
[
{
"role": "user",
"content": "Develop a browser extension popup that ingests a set of timezone-aware datetime intervals, renders an interactive calendar heatmap highlighting daily utilization percentages, provides a deterministic validation that no interval overlaps another across any timezone, and outputs ... | {
"topic_path": [
"coding",
"Browser Extensions",
"Extension Popup UI Development",
"Date and time formatting utilities tailored for extension data displays"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Design a C# REST API microservice for a `DocumentVersioning` system with endpoints to `POST /documents/{id}/versions` (accepts a file, stores a new version, returns SHA256 hash) and `GET /documents/{id}/versions` (returns a list of version hashes sorted descending by creation t... | {
"topic_path": [
"coding",
"RESTful APIs and Microservices",
"C#",
"Unit Testing Strategies using xUnit, Moq, and Test Containers"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Using Swift Package Manager, create a command-line tool that reads a JSON file representing a directed graph (with string node IDs and integer edge weights), computes the shortest path between two specified nodes using Dijkstra’s algorithm implemented in Swift without external ... | {
"topic_path": [
"coding",
"Desktop Software",
"Swift",
"Swift Package Manager"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Using list comprehensions and slicing, create a Python function that queries a REST endpoint returning a list of numeric records, filters for values greater than the 75th percentile, slices from the 5th to the 95th index, and returns the product of the sliced elements modulo 10... | {
"topic_path": [
"coding",
"RESTful APIs and Microservices",
"Python",
"List_comprehensions_and_slicing"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Write a Go program implementing a reverse proxy with dynamic weighted round-robin load balancing based on real-time backend latency, where weights are recalculated every 10 seconds; include automated tests verifying correct routing under simulated variable latency and a health-... | {
"topic_path": [
"coding",
"Automation Scripts",
"Go",
"Reverse Proxy and Load Balancer"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Consider a countable language with a single unary predicate P and let T axiomatize the elementary theory of the structure (ℕ, <, P) where < is the standard ordering and P holds exactly at prime numbers; using advanced model‑theoretic analysis, determine the number of non‑isomor... | {
"topic_path": [
"advanced_mathematics",
"Model Theory",
"Vaught's Conjecture and the Spectrum Problem for Countable Models"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Given the source \"αβγ🎯→δλθ\" encoded in UTF-8, write a function that counts distinct overlapping palindromic substrings of length ≥2, ensuring your code editor displays correct syntax highlighting for a language that natively supports unicode identifiers; return the count and... | {
"topic_path": null,
"checker_score": 8
} |
[
{
"role": "user",
"content": "Given that p16INK4a inhibits CDK4/6 and p27KIP1 inhibits CDK2, describe the specific molecular interactions that lead to G1 cell cycle arrest when both inhibitors are overexpressed, and explain how this mechanism prevents DNA replication."
},
{
"role": "assistant",
... | {
"topic_path": [
"biology_systems_and_molecular",
"Cell Cycle & Apoptosis Control",
"p16INK4a-p27KIP1 CDK Inhibitor Network in Cell Cycle Arrest"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Provide deterministic C pseudocode for an embedded firmware driver that configures an STM32 GPIO-bit-banged SPI/bit-banged I2C/UART state machine, implements multi-master I2C bus arbitration by continuously monitoring SDA/SCL during transmission, recovers from collisions by clo... | {
"topic_path": [
"coding",
"Embedded Systems Firmware",
"SPI/I2C/UART Peripheral Driver Development",
"Multi-Master I2C Bus Arbitration and Collision Recovery"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "In the modal logic GL, formally demonstrate whether the reflection principle □(□(p → □p) → p) → □(p → □p) is a theorem; then interpret it arithmetically via Solovay’s translation and provide a specific Π₁-formula in PA that either validates or refutes the translated statement."... | {
"topic_path": [
"formal_logic_and_proof_theory",
"Provability Logic and Gödel-Löb System",
"Solovay's Arithmetical Soundness Theorem for GL"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Write a Python function using functional programming techniques that takes a list of file paths and returns a dictionary mapping each unique file extension to the total size in bytes of all files with that extension, only including files that exist and are readable; the functio... | {
"topic_path": [
"coding",
"Automation Scripts",
"Python",
"Functional Programming Techniques"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Define a systemd unit `cache-warm.service` that runs `/usr/bin/node /opt/warm-cache/index.js`; include an `ExecStartPre` that uses `nc -zv cache-server 6379` to confirm Redis port availability, set `WorkingDirectory=/opt/warm-cache`, log stdout to `/var/log/cache-warm.log` and ... | {
"topic_path": [
"coding",
"Network Servers and Daemons",
"Daemon Process Management & Systemd Integration",
"Configuring ExecStartPre, ExecStartPost, and ExecStop lifecycle scripts"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Implement a network server daemon that exposes a gRPC API for a sharded caching system, and define a multi-step protocol for cross-shard cache invalidation that guarantees atomicity across boundaries; then list the exact verification commands to confirm consistency across all s... | {
"topic_path": [
"coding",
"Network Servers and Daemons",
"gRPC Microservices Development",
"Coordinating Multi-Service Caching Invalidation Across Boundaries"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Provide a Flutter implementation that uses WorkManager to schedule a periodic background task on Android and iOS, which fetches a JSON payload from a given HTTPS endpoint, extracts a specific nested value, and if that value changes, registers the device with a mock Push Notific... | {
"topic_path": [
"coding",
"Cross-Platform UI Frameworks",
"Flutter",
"Push Notification Service Integration"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Given the JSON array `[{\"id\":1,\"vals\":[10,20]},{\"id\":2,\"vals\":[30]},{\"id\":3,\"vals\":[]}]`, write a SQL query that uses a database table constructed from this data to return the sum of all elements in the `vals` array for objects where the `id` is greater than 1, and ... | {
"topic_path": [
"coding",
"Database Management Tools",
"SQL",
"JSON and Array Data Type Support"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Given a React Native project that must read a JSON file from the device's File System, transform its array of numeric records by summing values grouped by a string key, write the aggregated result to a new file in the Asset Manager, and render the top three keys by total in a c... | {
"topic_path": null,
"checker_score": 10
} |
[
{
"role": "user",
"content": "Consider a massless Dirac fermion in 2+1 dimensions governed by the Lagrangian density \\(\\mathcal{L} = \\bar{\\psi}(i \\gamma^\\mu D_\\mu)\\psi\\) with \\(D_\\mu = \\partial_\\mu - i e A_\\mu\\). Using Fujikawa's method, compute the chiral anomaly coefficient \\(\\mathcal{A}\... | {
"topic_path": null,
"checker_score": 10
} |
[
{
"role": "user",
"content": "Create a Unity Editor window with a custom tool that scans all active scenes for `GameObject`s missing a `Rigidbody` component but possessing a collider, automatically generates a uniquely named prefab variant for each (stored under `Assets/Generated/PhysicsFixes/` with a corre... | {
"topic_path": [
"coding",
"Game Development Tools",
"Unity Editor Scripting & Custom Tools",
"Build Pipeline Integration"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Map the causal pathway from insulin-induced autophosphorylation of the insulin receptor to the specific tyrosine-sulfation events on Insulin Receptor Substrate (IRS) proteins that enable Grb2-SOS complex recruitment, identifying the critical phosphorylation motif."
},
{
... | {
"topic_path": [
"biology_systems_and_molecular",
"Signal Transduction Pathways",
"Insulin Receptor Substrate (IRS) Tyrosine Phosphorylation Cascade"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Analyze a scenario where an individual holds a true belief about a mathematical conjecture due to rigorous virtuous epistemic effort, but the belief's truth depends on an unexamined empirical contingency, determine whether this belief qualifies as knowledge under (1) classical ... | {
"topic_path": [
"philosophy_epistemology_and_logic",
"Virtue Epistemology",
"Virtue Fortean Accounts of Knowledge (Zagzebski's True Belief from Virtue)"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Write a Vyper smart contract using OpenZeppelin’s libraries that accepts a dynamic array of 150 ERC20 token amounts and their corresponding token addresses, then atomically verifies and redistributes the total value across a fixed set of 5 pre‑defined recipient addresses such t... | {
"topic_path": [
"coding",
"Smart Contracts and Blockchain Apps",
"Vyper",
"OpenZeppelin Vyper Contract Library Usage"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Create a React Native component using a cross-platform UI framework that renders a list fetched asynchronously via a native module exposed through the NativeModuleBridgingInterface, then compute and display the sum of all even numbers in the list as a deterministic integer resu... | {
"topic_path": [
"coding",
"Cross-Platform UI Frameworks",
"React Native",
"Native Module Bridging Interface"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Two players, A and B, each roll a fair six-sided die, and the higher roll wins; if tied, they roll again until there is a winner. Before the first roll, player A is told that the sum of the two dice will be at least 8. Calculate the exact conditional probability that player A w... | {
"topic_path": [
"statistics_and_probabilistic_reasoning",
"Bayesian Inference and Probability Updating",
"The Monty Hall Problem: Bayesian Solution to Intuitive Probability Fallacies"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Write a Ruby Rack application with an endpoint that accepts a multipart form upload of a CSV file, processes each row to compute a SHA256 digest recorded in structured audit logs with request IDs, returns a JSON array of row digests, and deterministically verify the array for a... | {
"topic_path": [
"coding",
"RESTful APIs and Microservices",
"Ruby",
"Structured Logging & Audit Trail System"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Consider an ARMv8-A system with 4KB pages, a peripheral base at PA 0x5000_0000, and a virtual address 0x8000_0004000 mapped by an identity section through the MMU with Device-nGnRnE memory attributes, while the SCTLR_CF bit is set and the PERIPHBASE_S is 0x5000_0000; what is th... | {
"topic_path": [
"coding",
"Embedded Systems Firmware",
"Memory-Mapped I/O and Register-Level Hardware Interaction",
"MMU Translation Table Impact on Peripheral Address Mapping"
],
"checker_score": 7
} |
[
{
"role": "user",
"content": "Build a browser extension popup with a collapse/expand section controlled by a segmented button (Collapse, Expand, Reset) that tracks loading, disabled, and active states via chrome.storage.session: Collapse enters loading for 1.5s and becomes disabled on click, Expand becomes ... | {
"topic_path": [
"coding",
"Browser Extensions",
"Extension Popup UI Development",
"Button state management with loading, disabled, and active visual states"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Design a Spring Boot REST microservice in Java that exposes a POST endpoint `/validate-config` accepting a JSON payload representing a configuration. The service must read application properties from `application.yml` to determine a base URL and an API key, then for each incomi... | {
"topic_path": null,
"checker_score": 10
} |
[
{
"role": "user",
"content": "Using dialectical materialism and the principle that practice is the criterion of truth, analyze the statement \"The laws of formal logic are universal and immutable\" by identifying a concrete scientific experiment that both validates and contradicts this claim, then derive th... | {
"topic_path": [
"philosophy_epistemology_and_logic",
"Dialectical Materialism",
"Practice as the Criterion of Truth"
],
"checker_score": 9
} |
[
{
"role": "user",
"content": "Develop a C# Windows Forms file integrity checker that uses a Data Validation Engine to verify SHA-256 hashes of selected desktop files, cross-references them against a user-provided manifest, and displays pass/fail status for each entry in a grid."
},
{
"role": "assist... | {
"topic_path": [
"coding",
"Desktop Software",
"C#",
"Data Validation Engine"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Construct a content script injected into https://service.test that cooperates with a background page to relay Cross-Origin Message Events to a dedicated protocol translation isolate, remapping Server-Sent Event identifiers to WebSocket subprotocol handshake codes, and return th... | {
"topic_path": [
"coding",
"Browser Extensions",
"Cross-Domain Communication & Messaging",
"Protocol Translation Service"
],
"checker_score": 5
} |
[
{
"role": "user",
"content": "Write a cross-platform C++ program using an abstraction layer like Qt or wxWidgets that creates a file dialog, reads the selected text file's content into a UTF-8 string, computes its SHA-256 hash, and outputs the hash as a lowercase hex string to the console, ensuring proper e... | {
"topic_path": [
"coding",
"Desktop Software",
"C++",
"Cross-Platform Abstraction Layers"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Given a DNA methyltransferase inhibitor that globally reduces DNA methylation in a hematopoietic stem cell, describe the step-by-step regulatory mechanisms by which this epigenetic change alters transcriptomic profiles to commit the cell toward a myeloid versus lymphoid differe... | {
"topic_path": null,
"checker_score": 9
} |
[
{
"role": "user",
"content": "Write a Node.js script that reads a JSON array of log events from stdin, filters to entries where the `status` is at least 400, enriches each with a `severity` field (\"ERROR\" for status >= 500, \"WARN\" otherwise), and outputs a structured log line per event to stdout in a de... | {
"topic_path": [
"coding",
"Automation Scripts",
"JavaScript",
"Structured Logging & Application Observability"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Write a Perl script that reads a continuous stream of CSV records from standard input, validates and transforms data using file I/O and stream handling, computes a checksum for each processed record, and appends valid entries with their checksums to a binary file while logging ... | {
"topic_path": [
"coding",
"Automation Scripts",
"Perl",
"File I/O and Stream Handling"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Construct an AWS Glue incremental ETL pipeline that reads partitioned Parquet files, tracks progress using job bookmarks, processes late data with a watermarks strategy, and writes compacted outputs; calculate the exact number of processed files and the final bookmark cursor va... | {
"topic_path": [
"coding",
"Data Processing Pipelines",
"Serverless Data Processing on AWS Glue and GCP Dataflow",
"Incremental Processing Logic & Bookmark Management"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Create a browser extension that intercepts GET requests to `/resource/{id}`, caches responses in the service worker with a max-age of 30 seconds using cache name `res-v2`, and returns stale-while-revalidate for repeated requests; output the exact cache key sequence and response... | {
"topic_path": [
"coding",
"Browser Extensions",
"Background Service Workers",
"Network Request Interception & Response Caching"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Given the secret S = 12345 shared via Shamir's scheme over GF(2^8) with polynomial f(x) = 12345 + 73x + 199x^2, use the three shares (1, f(1)), (2, f(2)), and (4, f(4)) to verify via polynomial interpolation that f(0) equals S, explicitly computing each field operation modulo t... | {
"topic_path": [
"cryptography_mathematical_foundations",
"Finite Fields (Galois Fields) and Polynomial Arithmetic",
"Shamir's Secret Sharing Scheme via Polynomial Interpolation over GF(q)"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Create a TypeScript NestJS gRPC microservice that consumes a stream of telemetry events, validates each using class-transformer and class-validator with nested message patterns, implements a custom structured logging interceptor through Winston with JSON formatting and dynamic ... | {
"topic_path": [
"coding",
"Web Applications",
"TypeScript",
"Structured Logging Frameworks"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Let \\(B_t\\) be a standard Brownian motion, define \\(X_t = e^{-t}(B_t + t)\\), and set \\(I = \\int_0^1 s\\, dB_s\\). Use Malliavin calculus and integration by parts on Wiener space to compute \\(\\mathrm{Cov}(I^2, e^{B_1})\\) exactly."
},
{
"role": "assistant",
"... | {
"topic_path": [
"advanced_mathematics",
"Stochastic Calculus",
"Malliavin Calculus & Integration by Parts on Wiener Space"
],
"checker_score": 9
} |
[
{
"role": "user",
"content": "On the elliptic curve \\(E: y^2 = x^3 + 7x + 3\\) over \\(\\mathbb{F}_{31}\\), given base point \\(G = (2, 6)\\) of order \\(n = 13\\), private key \\(d = 9\\), and message hash \\(z = 15\\), compute the ECDSA signature using \\(k = 8\\) and demonstrate the full verification pr... | {
"topic_path": [
"cryptography_mathematical_foundations",
"Elliptic Curve Arithmetic over Finite Fields",
"ECDSA Digital Signature Scheme"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "In MRI compressed sensing, if the sensing matrix \\( \\Phi \\) is a partial Fourier subsampling with Gaussian noise injection and the sparsifying basis \\( \\Psi \\) is a discrete cosine transform, formulate the convex optimization problem that minimizes the total variation nor... | {
"topic_path": [
"mathematical_physics",
"Inverse Problems and Imaging Theory",
"Compressed Sensing Frameworks for Sparse Recovery in Magnetic Resonance Imaging"
],
"checker_score": 4
} |
[
{
"role": "user",
"content": "Design a Python dataclass `Node` with type hints representing a binary tree node, then implement a function `find_lca(root: Optional[Node], p: Node, q: Node) -> Optional[Node]` that returns the lowest common ancestor of nodes `p` and `q` in the tree, using a REST-like service p... | {
"topic_path": [
"coding",
"RESTful APIs and Microservices",
"Python",
"Type_hints_and_dataclasses"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Using Qt/QML and a cross-platform UI framework, write a program that reads a directory of text files from the file system, computes the frequency of each word across all files, and outputs a sorted list of the top 10 most frequent words to a new file, ensuring the UI displays a... | {
"topic_path": [
"coding",
"Cross-Platform UI Frameworks",
"Qt/QML",
"File System Access"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Design a React Native component using a cross-platform UI framework that conditionally renders a list of items sorted by a dynamic comparator function, where the comparator must first sort by prime-number index positions (ascending) and then by string length (descending); provi... | {
"topic_path": null,
"checker_score": 10
} |
[
{
"role": "user",
"content": "Define a Swift protocol-oriented system for a mobile task manager with `Trackable` requiring an `associatedtype Error: Swift.Error` and a `validationRules: [AnyValidationRule]` property, implement a `Validator` using function composition to chain deterministic checks, and provi... | {
"topic_path": [
"coding",
"Mobile Applications",
"Swift",
"Protocols and Protocol-Oriented Programming"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Write a Move entry function that takes a u128 amount and a dotenv key, resolves the key via environment variable path mapping `/secure/config` → `/etc/app/config`, computes the amount modulo 9973, stores the remainder as a signed integer event with the injected path as metadata... | {
"topic_path": [
"coding",
"Smart Contracts and Blockchain Apps",
"Move",
"Environment variable injection path mapping"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Implement a Godot GDExtension in Rust with C ABI exports that wraps a C++ physics body node, defining a method `simulate_step()` which calls a C function via FFI to advance the simulation, and list the exact struct layout attributes and compiler directives required to guarantee... | {
"topic_path": [
"coding",
"Game Development Tools",
"Godot Engine Node System & GDExtension",
"Cross-Language Bindings (C, C++, Rust) Architecture"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Cross-reference 1833–1844 Factory Inspector injury logs with autobiographical accounts describing specific accidents, verify cited compensation amounts against Poor Law and insurance records, and assess whether Chartist editorial markers correlate with underreporting of mechani... | {
"topic_path": [
"history_causal_and_source_critical",
"Industrial Revolution: Factory Reform Reports, Worker Autobiographies, and Economic Data",
"Evaluating the Reliability of Chartist-Influenced Worker Autobiographies as Objective Social History versus Political Propaganda"
],
"checker_score": 10
... |
[
{
"role": "user",
"content": "Consider a system described by the Lagrangian density \\( \\mathcal{L}(\\phi, \\partial_\\mu \\phi) = \\frac{1}{2} \\partial_\\mu \\phi \\partial^\\mu \\phi - \\frac{1}{2} m^2 \\phi^2 \\) under the global symmetry transformation \\( \\phi \\to \\phi + \\epsilon \\phi \\) for in... | {
"topic_path": [
"advanced_mathematics",
"Variational Calculus",
"Noether's Theorem: Symmetries, Conservation Laws, and Field Theory Applications"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Create a .NET MAUI app with dependency injection where: (1) a scoped `ILocationTracker` is resolved as `LocationTracker` and requires `IPlatformResolver`, (2) a singleton `IAnalytics` is resolved as `AnalyticsService` and depends on `ILocationTracker`, (3) a transient `IUserSes... | {
"topic_path": [
"coding",
"Mobile Applications",
"C# (.NET MAUI)",
"Dependency Injection Container Configuration"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Specify a Move smart contract for a hypothecated lending vault that rebalances collateral ratios via an on-chain oracle and slashes positions below a threshold, and outline a CI/CD pipeline that packages the contract, verifies linear logic resource safety, and transfers the ver... | {
"topic_path": [
"coding",
"Smart Contracts and Blockchain Apps",
"Move",
"CI/CD pipeline artifact transfer handoffs"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Design a data processing pipeline that ingests a stream of timestamped sensor readings, computes a 5-minute sliding window average, and outputs results to a file; specify the CI/CD workflow including unit and integration tests that verify end-to-end data flow correctness by ass... | {
"topic_path": [
"coding",
"Data Processing Pipelines",
"CI/CD and Testing Strategies for Data Pipelines",
"Integration Testing for End-to-End Data Flows"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Given a hidden Markov model with two states and three observable symbols, where the initial state distribution is [0.4, 0.6], the transition matrix is [[0.7, 0.3], [0.4, 0.6]], and the emission matrix is [[0.1, 0.4, 0.5], [0.6, 0.3, 0.1]], compute the probability of observing t... | {
"topic_path": [
"statistics_and_probabilistic_reasoning",
"Bayesian Networks and Graphical Models",
"Hidden Markov Models and Dynamic Bayesian Networks"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Design a multi-tenant CLI dashboard in Python that reads a JSON file mapping tenant IDs to lists of integer transaction amounts, computes the median transaction amount per tenant without using any external libraries, and outputs a sorted list of tenant IDs whose median exceeds ... | {
"topic_path": [
"coding",
"Command-Line Interfaces",
"Python",
"Multi-tenancy Architecture"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Write a Go program that reads a JSON array of signed integers, uses a fan-out stage to compute per-element factorial via goroutines, aggregates results with a fan-in merge stage using channels, sorts the final sums in non-decreasing order, and outputs the median; ensure concurr... | {
"topic_path": [
"coding",
"Web Applications",
"Go",
"Designing pipeline pattern with fan-in/fan-out using Go channels"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Assess the linkage between EU development aid conditionalities and North African coastal surveillance deployments from 2014–2020, identify the specific aid instrument and its clause number tied to border control, then calculate the percentage decline in migrant arrivals by sea ... | {
"topic_path": [
"geopolitics_and_political_science",
"Migration crises as geopolitical leverage between Europe and North Africa",
"Effectiveness and Ethical Implications of EU Border Externalization Policies as Responses to Migration Coercion"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Given the quasi-category presented by the simplicial set \\(X\\) where \\(X_n\\) consists of strings of length \\(n\\) from the alphabet \\(\\{0,1,2\\}\\) with no consecutive equal digits, determine the homotopy category \\(\\mathrm{h}\\mathit{X}\\) up to isomorphism, compute t... | {
"topic_path": [
"advanced_mathematics",
"Category Theory",
"Higher Category Theory and (∞,1)-Categories"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Given a eukaryotic gene with a promoter characterized by specific histone modification marks (H3K4me3, H3K27ac) and a transcription factor binding site with known dissociation constant, derive the stochastic differential equation governing transcriptional bursting frequency, so... | {
"topic_path": [
"biology_systems_and_molecular",
"Multi-Omics Integration & Systems Modeling",
"Stochastic modeling of transcriptional bursting across epigenomic contexts"
],
"checker_score": 9
} |
[
{
"role": "user",
"content": "Using Python and the requests library, determine the total count of all even-numbered user IDs from the JSON array returned by the public JSONPlaceholder `/users` endpoint, and output only this integer sum."
},
{
"role": "assistant",
"content": "# Next: import reque... | {
"topic_path": [
"coding",
"RESTful APIs and Microservices",
"Python",
"Package_management_with_pip"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Analyzing the 1956 Official Language Act in Ceylon, reconcile the majoritarian nationalist narrative of Sinhalese self-determination with colonial constitutional records by: (1) identifying two specific provisions the colonial framework established to protect Tamil linguistic m... | {
"topic_path": null,
"checker_score": 9
} |
[
{
"role": "user",
"content": "Define a Kafka Streams application that reads a binary Avro record from a topic, uses Confluent Schema Registry to fetch and validate the writer and reader schemas with a specific compatibility rule, handles a union field that switches between int and string representations of ... | {
"topic_path": [
"coding",
"Data Processing Pipelines",
"Schema Validation and Type Safety in Data Pipelines",
"Apache Kafka Schema Registry implementation patterns"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "For a quantified Boolean formula transformed into first-order logic, apply Herbrand's Theorem to enumerate finite ground instances, then construct Nelson-Oppen congruence relations over the interpreted sorts to prove validity, detailing each refutation step checkable by an SMT ... | {
"topic_path": [
"formal_logic_and_proof_theory",
"Herbrand's Theorem Applications",
"Herbrand Congruence Relations in Nelson-Oppen Theory Combination for SMT Solvers"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Implement a Flutter form with input fields for phone number and PIN code, validate phone as E.164 format and PIN as exactly 6 numeric digits, then define a function that returns true for inputs phone \"+14155552671\" and PIN \"123456\" only when both validations pass."
},
{... | {
"topic_path": [
"coding",
"Cross-Platform UI Frameworks",
"Flutter",
"Form Validation & Input Handling"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Write a C program using lock-free compiler-atomic operations (<stdatomic.h>) to implement a single-producer single-consumer circular queue of fixed size 512 for long integers, then verify correctness by enqueuing the values at indices equal to the first 10 Fibonacci numbers (0,... | {
"topic_path": [
"coding",
"Command-Line Interfaces",
"C",
"Lock-free programming with compiler-level atomics"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Let \\(Z\\) be a simply connected space with \\(\\pi_4(Z) \\cong \\mathbb{Z}\\) and \\(\\pi_5(Z) \\cong \\mathbb{Z}/3\\); using the Postnikov tower, compute the primary \\(k\\)-invariant in \\(H^6(K(\\mathbb{Z},4); \\mathbb{Z}/3)\\) and verify that the resulting 4-type is reali... | {
"topic_path": [
"advanced_mathematics",
"Algebraic Topology",
"Postnikov Towers and Eilenberg-MacLane Spaces"
],
"checker_score": 9
} |
[
{
"role": "user",
"content": "Consider the sine-Gordon equation, apply the inverse scattering method to derive the 1-soliton solution, and compute the exact topological charge of this solution; provide the charge value as a verifiably correct integer."
},
{
"role": "assistant",
"content": "# Nex... | {
"topic_path": [
"mathematical_physics",
"Integrable Systems and Soliton Theory",
"Sine-Gordon Model and Topological Kink Solutions"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Examine the Spanish constitutional framework and the Catalan independence movement, identifying the exact year the Spanish Constitutional Court suspended a key autonomy statute under the State of Autonomies, verified through official court rulings and United Nations documentati... | {
"topic_path": [
"geopolitics_and_political_science",
"Federalism disputes and separatist movements in multi-ethnic states",
"State counter-separatism strategies: repression, co-optation, and constitutional concessions"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Create a Kotlin sealed class `NetworkResult` with data classes for success and error, an Android repository function `fetchAndAggregate` that suspends over a list of API call pairs (List<Pair<String, suspend () -> Double>>) returning a `NetworkResult` with the sum or error, and... | {
"topic_path": [
"coding",
"Mobile Applications",
"Kotlin",
"Unit Testing with Kotest Assertion Frameworks"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Let \\( A = C([0,1]) \\) with pointwise operations, and define a linear functional \\( \\varphi: A \\to \\mathbb{C} \\) by \\( \\varphi(f) = \\int_0^{1/2} f(x)\\,dx - \\int_{1/2}^1 f(x)\\,dx \\). Using the Gelfand transform, the spectral radius of the element \\( f(t) = t \\) i... | {
"topic_path": [
"advanced_mathematics",
"Spectral Theory",
"C*-algebraic spectral theory: Gelfand transform and positive functionals"
],
"checker_score": 9
} |
[
{
"role": "user",
"content": "Design a C# ASP.NET Core Web API service that integrates Redis caching using a distributed cache strategy to optimize repeated calls to a remote RESTful microservice, ensuring thread-safe cache invalidation on POST/PUT/DELETE operations; provide the complete implementation incl... | {
"topic_path": [
"coding",
"RESTful APIs and Microservices",
"C#",
"Distributed Caching Strategies with Redis in ASP.NET Core"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Consider a sequent calculus with induction up to ε₁ and Cut-Elimination validated: determine the minimal ordinal α < ε₁ such that every provable sequent with cuts of rank ≤ ω² can be transformed into a cut-free proof using only quantifier-free induction up to α, and provide a f... | {
"topic_path": [
"formal_logic_and_proof_theory",
"Cut-Elimination Theorems",
"Ordinal-Bounded Cut Reduction and Transfinite Induction"
],
"checker_score": 9
} |
[
{
"role": "user",
"content": "Design a Clarity smart contract that implements a verifiable proof-of-membership for a Merkle tree, accepting a leaf value and a Merkle path, then returning an assertion that the leaf is present in the tree only if the computed root matches a predefined on-chain root, with all ... | {
"topic_path": [
"coding",
"Smart Contracts and Blockchain Apps",
"Clarity",
"Constraint & Boundary Declaration"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Implement a Jest test for a GraphQL resolver `syncInventory` that mocks a distributed cache context, handles race conditions via optimistic locking, and verifies stock consistency across multiple warehouses using a predefined deterministic dataset."
},
{
"role": "assist... | {
"topic_path": [
"coding",
"Database Management Tools",
"GraphQL",
"Testing resolvers with Jest and mock contexts"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Suppose we have a finite ring $R$ and a monotone span program $M$ over $R$ that weakly computes a relation $\\Gamma$: show that under the assumption that the discrete logarithm problem in a certain algebraic group is computationally hard, there exists a family of inputs such th... | {
"topic_path": [
"theoretical_computer_science",
"Proof Complexity & Bounded Arithmetic",
"Automatizability of Propositional Proof Systems and Cryptographic Conjectures"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "Explain, at the molecular level, how a chemodivergent signal transduced through a GPCR cascade modulates Rho GTPase activity, delineating the precise enzymatic steps and cytoskeletal readout that yield a quantifiable change in cell migration velocity."
},
{
"role": "ass... | {
"topic_path": [
"biology_systems_and_molecular",
"Signal Transduction Cascades",
"Rho GTPase-Driven Cytoskeletal Remodeling Signaling"
],
"checker_score": 10
} |
[
{
"role": "user",
"content": "For a synthetic pathway in Saccharomyces cerevisiae where enzyme X1 is under glucose repression via a Mig1-binding promoter with dissociation constant K_d=50 nM and enzyme X2 is feedback-inhibited by product Q (K_i=10 μM), derive the steady-state flux J through the five-step pa... | {
"topic_path": [
"biology_systems_and_molecular",
"Metabolic Pathway Engineering",
"Metabolite sensor-based dynamic pathway regulation using transcription factors"
],
"checker_score": 9
} |
[
{
"role": "user",
"content": "Develop a browser extension that modifies the DOM to add a hidden WebSocket endpoint, establishes a cross-origin message channel to a multi-tenant API gateway at `wss://gateway.tenantmesh.io/relay` with tenant-specific subprotocols, and computes the CRC32 checksum of the sorted... | {
"topic_path": [
"coding",
"Browser Extensions",
"Cross-Domain Communication & Messaging",
"Multi-Tenant API Gateway"
],
"checker_score": 9
} |
[
{
"role": "user",
"content": "Write a Vyper function that accepts a list of 256-bit unsigned integers representing blockchain timestamps and returns the smallest prime number greater than the median of the list, using only the vyper_stdlib for arithmetic and list operations, ensuring the function can be ver... | {
"topic_path": null,
"checker_score": 10
} |
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