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Analyze the time complexity and compare it to the most common alternative for the same task of convex hull (Jarvis march) on an input of size n=26,040,588. Provide a rigorous justification.
42
189
Walk through a system design for a ride-sharing dispatch service (like Uber / Lyft). Key constraints: driver-passenger matching within 2 seconds; ETA computation on a live traffic graph updated every 66 seconds. Cover: high-level component diagram, database choice and justification, scaling bottlenecks and mitigation, ...
66
340
Calculate the volume of a cylinder with radius 13.81 and height 15.03.
19
70
Calculate the heat required to raise the temperature of 0.6 kg of water from 25°C to 65°C. Show all work.
29
105
Calculate the five-number summary of this data set: [87, 26, 88, 97, 22, 78, 84, 21].
34
85
Evaluate the definite integral of f(x) = 4x^5 from 4 to 7.
21
58
Divide the polynomial P(x) = -5x^2 + 5 by (x + 5) using synthetic division.
26
75
Implement a Python function that solves: Merge 4 sorted linked lists into one sorted linked list. Write the solution and a full set of unit tests covering edge cases.
33
166
Calculate the pH of a 0.577 M solution of NaOH. Show your calculation step by step.
23
83
Write the opening chapter (800-1200 words) of a fantasy novel set in a bustling medieval market during a plague. Start mid-conversation between two characters who know far more than the reader.
40
193
An object starts with velocity 30.6 m/s and accelerates at 4.8 m/s² for 9.2 seconds. Find the displacement. Show all equations used.
38
132
A test for a disease has 98% sensitivity and 95% specificity. If 5% of the population has the disease, what is the probability that a person who tests positive actually has the disease? Use Bayes' theorem.
48
205
Walk through a system design for a real-time collaborative text editor (like Google Docs). Key constraints: operational transformation or CRDT conflict resolution; presence indicators and shared cursor positions; offline editing with sync-on-reconnect for 13 concurrent users. Cover: API design, scaling bottlenecks and ...
65
366
Convert EA9F (base 16) to base 10. Show the conversion process.
19
63
Write a 1500-word space opera short story set in a desert city built on the back of a colossal tortoise, featuring a weatherwoman who can make local weather forecasts by reading emotional patterns in people. Explore the theme of memory and identity.
50
249
A 32.3 kg object is pushed with a force of 185.3 N at an angle of 4° on a surface with coefficient of friction 0.34. Find the acceleration. Draw a free-body diagram description.
48
177
Solve for x: 5x - 37 = 11.
14
26
Walk through a system design for a restaurant food-delivery marketplace (like DoorDash). Key constraints: menu and restaurant catalog service handling 5M SKUs; order matching across 46K concurrent active drivers; real-time 15-second delivery ETA updates. Cover: database choice and justification, high-level component di...
79
418
Analyze the worst-case time complexity and describe which specific input pattern triggers it of sparse table for range minimum queries on an input of size n=1,629,214. Provide a rigorous justification.
39
201
Write the opening chapter (800-1200 words) of a solarpunk novel set in a psychiatric hospital in 1920s Vienna where the patients know something the doctors don't. Open with a letter, message, or fragment of writing that sets up mystery.
53
236
Find the inverse of the matrix A = [[0, -1, -2], [-5, 3, 3], [0, 5, -2]].
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73
Refactor the following JavaScript code smell: a procedural JavaScript script with 8 global variables and 8 functions that share mutable state through those globals. Apply introduce a clean abstraction layer (interface/protocol) to decouple the logic from its dependencies. Show a clear before-and-after and explain each ...
65
348
Simplify: 5^3 × 5^0. State the exponent rule used.
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50
Build a complete, single-page recipe and food blog website using only HTML, CSS, and vanilla JavaScript (no frameworks). The design should be playful and vibrant. Include: accessible ARIA labels and semantic HTML5 landmark elements; sticky navigation bar with smooth-scroll anchor links; dark/light mode toggle with loca...
81
429
Given a 5-GHz processor with 16-stage pipeline, L1 hit=6 cycles, L2 hit=15 cycles, L3 hit=45 cycles, DRAM=221 cycles, and miss rates L1=10%, L2=8%, L3=4%: compute the average memory access time (AMAT), effective CPI (assuming 1.8 IPC in a stall-free pipeline), and identify whether this workload is memory-bound or compu...
101
354
Solve |5x - 2| = 4. List all solutions.
16
39
Write a Java program using the Stream API and lambda expressions to read a large CSV, group rows by a key column, aggregate totals, and print a sorted leaderboard — handle 242,463 rows efficiently.
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197
Design and implement a REST API for appointments in ASP.NET Core (C#), covering full CRUD (Create, Read, Update, Delete). Include: filtering by field, query-param validation, response caching, rate limiting per IP, bulk delete endpoint. Include an OpenAPI spec for the endpoints.
59
279
Calculate the volume of a cylinder with radius 1.42 and height 21.33.
19
69
Write a 1000-word mystery short story set in a Victorian London where magic has just been discovered, featuring a cult deprogrammer who begins to doubt whether the rest of the world is the cult. Explore the theme of the meaning of humanity.
50
240
Implement the Repository design pattern in TypeScript using a plugin or extension architecture. Explain when and why you would use this pattern, and when you would not.
31
168
Explain how a B+ tree non-clustered (secondary) index is used by the query planner for a query scanning ~68,248,838 rows. Discuss index selectivity, I/O cost, and when the planner would prefer a sequential scan.
51
211
Calculate the heat required to raise the temperature of 5.3 kg of water from 39°C to 86°C. Show all work.
29
105
Build a complete, single-page wedding invitation site website using only HTML, CSS, and vanilla JavaScript (no frameworks). The design should be bold and colorful. Include: CSS custom properties (variables) for theming; responsive mobile-first layout using CSS Grid; contact form with client-side validation; sticky navi...
92
490
Calculate the median of this data set: [69, 24, 42, 18, 69, 9, 40, 35, 38, 19, 7].
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82
Walk through a system design for an e-commerce checkout and payment system. Key constraints: idempotent payment charge API and exactly-once guarantee; saga pattern for rollback across order, inventory, and payment services. Cover: failure modes and resiliency, high-level component diagram, database choice and justifica...
60
325
Given a 5-GHz processor with 5-stage pipeline, L1 hit=4 cycles, L2 hit=28 cycles, L3 hit=31 cycles, DRAM=146 cycles, and miss rates L1=20%, L2=14%, L3=9%: compute the average memory access time (AMAT), effective CPI (assuming 1.1 IPC in a stall-free pipeline), and identify whether this workload is memory-bound or compu...
101
354
An ideal gas at 373 K and 4.2 atm occupies 3.8 L. If compressed to 2.0 L at constant temperature, what is the new pressure? Show all work.
42
138
Using Actix-web (Rust), build a REST API that handles nested resource endpoints (parent → child relationships) for audit logs. Include: request body validation, filtering by field, multi-field sorting, OAuth2 scope checks. Add middleware for request logging and correlation IDs.
54
278
Walk through a system design for a real-time collaborative text editor (like Google Docs). Key constraints: presence indicators and shared cursor positions; offline editing with sync-on-reconnect for 10 concurrent users; operational transformation or CRDT conflict resolution. Cover: scaling bottlenecks and mitigation, ...
68
384
Solve the system of equations: -x - 7y = -7 and 4x + 7y = 7. Show your method (substitution or elimination).
36
108
Show the Abstract Factory design pattern in Swift in the context of a user authentication flow. Write unit tests that verify the pattern behaves correctly.
27
155
Calculate the de Broglie wavelength of an electron moving at 9559988.0 m/s.
21
75
Describe the trade-offs when designing a system with 2372 nodes and a 0.1% annual node failure rate: focus on data partitioning: range sharding hot-spot risk vs hash sharding rebalancing cost vs directory-based sharding.
52
220
Given the network 10.176.0/21, calculate the subnet mask, total IPs, number of usable hosts, network address, broadcast address, and first/last usable host IPs. Then show how to split it into 3 equal-sized subnets, listing the network address and usable range of each.
65
268
Build a complete, single-page online resume/CV page website using only HTML, CSS, and vanilla JavaScript (no frameworks). The design should be retro-inspired. Include: sticky navigation bar with smooth-scroll anchor links; Google Fonts and Font Awesome icons integration; FAQ accordion with smooth expand/collapse; anima...
83
440
In Python, implement a DP solution for minimum edit distance (Levenshtein) between strings of length ~16, with path reconstruction. Reconstruct the optimal solution (not just its value) and trace through the backtracking.
46
221
Analyze the best-case, average-case, and worst-case time complexity with a justification for each scenario of Ford-Fulkerson max flow on an input of size n=24,428,038. Provide a rigorous justification.
44
201
Build a fully playable Connect Four game using HTML/CSS/JavaScript and pure JavaScript (no external libraries). Implement the following mechanics: gravity simulation placing discs in the lowest empty row; optional AI opponent using minimax with alpha-beta pruning; 7×6 grid rendered with CSS for two-player disc dropping...
114
595
Write a 2000-word cli-fi (climate fiction) short story set in a lighthouse at the edge of reality, featuring a soldier turned puppeteer whose marionettes move when he doesn't want them to. Explore the theme of the clash between tradition and progress.
54
251
Write a 1000-word cli-fi (climate fiction) short story set in a monastery on a mountain that exists between dimensions, featuring a cult deprogrammer who begins to doubt whether the rest of the world is the cult. Explore the theme of the beauty of impermanence.
58
261
Build a complete, single-page book club landing page website using only HTML, CSS, and vanilla JavaScript (no frameworks). The design should be glassmorphism-styled. Include: FAQ accordion with smooth expand/collapse; animated statistics/counters section; team/about section with profile cards. Use semantic HTML5, ensur...
75
382
Find the complete prime factorization of 91723.
11
47
Explain responsible AI: demographic parity, equalized odds, and counterfactual fairness — a concrete case study in a production ML system handling 14,888,103 predictions per day.
37
178
Explain responsible AI: demographic parity, equalized odds, and counterfactual fairness — a concrete case study in a production ML system handling 84,133,430 predictions per day.
37
178
Convert 6443 (base 16) to base 8. Show the conversion process.
19
62
Write a Java program using the Stream API and lambda expressions to read a large CSV, group rows by a key column, aggregate totals, and print a sorted leaderboard — handle 492,636 rows efficiently.
41
197
Solve the inequality: 8x - 2 ≤ -2. Express the solution in interval notation.
21
77
Write a Spring Boot (Java) backend service exposing paginated list endpoint with aggregation counts for followers. Include: structured logging, OAuth2 scope checks, cursor-based pagination, response caching, API key authentication, request ID tracing. Add middleware for request logging and correlation IDs.
54
307
Given points A(-11, 1) and B(-6, -6), find the slope of the line passing through these two points.
29
98
Find the area of a triangle with base 8.15 and height 11.66.
19
60
Demonstrate the Memento design pattern in C++ with a practical a user authentication flow example. Include a before-and-after showing code without and with the pattern applied.
34
176
Build a complete, single-page fitness trainer website website using only HTML, CSS, and vanilla JavaScript (no frameworks). The design should be minimalist and modern. Include: dark/light mode toggle with localStorage persistence; lazy-loading images using the loading='lazy' attribute; animated statistics/counters sect...
84
454
Build a fully playable Breakout / Arkanoid game using HTML5 Canvas and pure JavaScript (no external libraries). Implement the following mechanics: multi-level progression with different brick layouts per level; paddle controlled by keyboard arrow keys and mouse; grid of colorful destructible bricks with hit points; bal...
103
574
Build a complete, single-page university department page website using only HTML, CSS, and vanilla JavaScript (no frameworks). The design should be retro-inspired. Include: breadcrumb navigation with structured data markup; accessible ARIA labels and semantic HTML5 landmark elements; lazy-loading images using the loadi...
79
428
Refactor the following Java code smell: a Java class with 1264 lines doing data fetching, transformation, caching, validation, and UI rendering — a clear God Object. Apply apply the Strangler Fig pattern to incrementally replace the problematic code while keeping tests green. Show a clear before-and-after and explain e...
68
352
A 47.2 Ω resistor, 55.4 Ω resistor, and 82.1 Ω resistor are connected in series. Find the total resistance and current if connected to a 5 V battery. Show your calculations.
46
173
Write a 750-word dystopian short story set in a labyrinthine city that grows a new district every full moon, featuring a terraforming engineer who discovers the planet being terraformed is already inhabited. Explore the theme of the moment a person realizes they have become who they feared.
56
291
Find the inverse of the matrix A = [[3, -3, 0, 3], [-4, -5, 4, 3], [4, 5, 3, -3], [4, -1, 5, 3]].
56
97
Write a 1200-word dystopian short story set in a monastery on a mountain that exists between dimensions, featuring a priest who has lost faith but cannot lose his congregation. Explore the theme of the beauty of impermanence.
46
225
Write a C# solution for the following problem: Given an array of 8 integers, find all unique triplets that sum to zero. Provide the solution and trace through it on at least two example inputs.
42
193
Solve |7x - 19| = 6. List all solutions.
16
40
Convert 1101100101111011 (base 2) to base 16. Show the conversion process.
23
74
Write a 1000-word horror short story set in a small Appalachian town hiding a dark secret, featuring a refugee from a timeline where their nation won the war, now living in one where it lost. Explore the theme of the cost of immortality.
51
237
Write a 500-word romance short story set in a colony on Mars during its first revolution, featuring an elderly woman who receives postcards from her younger self. Explore the theme of the corruption of power.
40
208
Walk through a system design for a metrics collection and alerting platform (like Prometheus + Grafana). Key constraints: label cardinality explosion: mitigation strategies at 100K time series; alerting via threshold rules and anomaly detection, routing to PagerDuty; time-series compression with delta-of-delta encoding...
91
483
In JavaScript, implement a DP solution for the number of ways to climb 25 stairs taking up to 3 steps at a time. Reconstruct the optimal solution (not just its value) and trace through the backtracking.
46
202
Explain how a composite covering index is used by the query planner for a query scanning ~4,763,970 rows. Discuss index selectivity, I/O cost, and when the planner would prefer a sequential scan.
43
195
Write a 750-word solarpunk short story set in a floating island above an endless desert, featuring a twin who discovers their sibling is living a life they were meant to lead. Explore the theme of freedom versus security.
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221
A right triangle has one leg of length 24 and hypotenuse √1252. Find the other leg.
23
83
Solve the system of equations: 4x - 2y = -8 and -6x - 6y = 1. Show your method (substitution or elimination).
37
109
Describe the trade-offs when designing a system with 8280 nodes and a 3% annual node failure rate: focus on data partitioning: range sharding hot-spot risk vs hash sharding rebalancing cost vs directory-based sharding.
50
218
Find the determinant of the matrix A = [[5, -2, 2, -5], [-4, 4, 5, -5], [-3, 4, 0, -5], [-1, -2, -4, 4]].
56
105
Is 7212 a prime number? Prove your answer.
13
42
Given a 4-GHz processor with 18-stage pipeline, L1 hit=3 cycles, L2 hit=10 cycles, L3 hit=34 cycles, DRAM=163 cycles, and miss rates L1=7%, L2=9%, L3=4%: compute the average memory access time (AMAT), effective CPI (assuming 1.9 IPC in a stall-free pipeline), and identify whether this workload is memory-bound or comput...
101
353
Build a complete, single-page news magazine homepage website using only HTML, CSS, and vanilla JavaScript (no frameworks). The design should be warm and inviting. Include: dark/light mode toggle with localStorage persistence; Google Fonts and Font Awesome icons integration; animated statistics/counters section; CSS tra...
100
557
Explain the testing pyramid (unit, integration, end-to-end) and implement example tests at each level for a CI/CD deployment job feature in Go (testing + testify).
34
163
Walk through a system design for a metrics collection and alerting platform (like Prometheus + Grafana). Key constraints: label cardinality explosion: mitigation strategies at 84K time series; alerting via threshold rules and anomaly detection, routing to PagerDuty. Cover: failure modes and resiliency, data model / sch...
70
354
Calculate the de Broglie wavelength of an electron moving at 7176561.0 m/s.
21
75
An object starts with velocity 21.0 m/s and accelerates at -0.6 m/s² for 15.4 seconds. Find the final velocity. Show all equations used.
39
136
Using Spring Boot (Java), build a REST API that handles read-heavy endpoints (list + detail) with write support for tickets. Include: error handling middleware, API key authentication, filtering by field. Add a Dockerfile and docker-compose.yml.
49
245
Write a 750-word magical realism short story set in a bustling medieval market during a plague, featuring a scientist whose experiment succeeded in a way she never intended. Explore the theme of grief and healing.
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213
Walk through a system design for a large-scale web crawler. Key constraints: distributed URL deduplication via Bloom filter at 50B URLs; content change detection using checksums and re-crawl scheduling; politeness (robots.txt, crawl-delay) and frontier priority queue. Cover: functional and non-functional requirements, ...
73
375
Write a 1000-word fantasy short story set in a deep space anomaly where castaways from different ships have formed a society, featuring a forensic accountant who finds a financial trail leading to their own past. Explore the theme of freedom versus security.
49
258
A 33.9 kg object falls from a height of 11.5 m. Calculate its kinetic energy just before hitting the ground (ignoring air resistance). Show your calculations.
37
158
Walk through a system design for a distributed file-sync service (like Dropbox). Key constraints: conflict resolution for concurrent edits on 4 devices; delta sync transmitting only changed chunks; chunked upload with content-addressable deduplication, block size 4 MB. Cover: database choice and justification, high-lev...
76
415
Given a 5-GHz processor with 7-stage pipeline, L1 hit=4 cycles, L2 hit=28 cycles, L3 hit=41 cycles, DRAM=126 cycles, and miss rates L1=17%, L2=12%, L3=1%: compute the average memory access time (AMAT), effective CPI (assuming 1.3 IPC in a stall-free pipeline), and identify whether this workload is memory-bound or compu...
101
354
Implement a production-ready REST API for managing blog articles with Django REST Framework (Python). Include: database transactions, request body validation, pagination, query-param validation, event publishing on write. Include integration tests using a test database.
45
270
An object starts with velocity 46.3 m/s and accelerates at -9.6 m/s² for 18.1 seconds. Find the displacement. Show all equations used.
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134
Calculate the volume of a sphere with radius 12.17.
13
51