Circuit Architectures: 12th Grade Algorithmic Blueprints Quiz (Medium) ワークシート • 無料PDFダウンロード 解答キー
Seniors analyze the spatial complexity of Kruskal’s algorithm and optimize recursive structures using dynamic programming techniques to solve multifaceted network problems.
教育的概要
This assessment evaluates senior-level students on their mastery of advanced graph theory, dynamic programming, and computational complexity. The quiz employs a rigorous scaffolded approach, moving from fundamental data structure identification to complex algorithmic optimization scenarios. It is designed for use as a high-stakes formative assessment or a summative unit exam for AP Computer Science A or Advanced Data Structures curricula.
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独自のワークシートを作成学習内容
- Analyze the operational mechanics and constraints of Kruskal’s and Bellman-Ford algorithms in network optimization.
- Evaluate the efficiency of recursive structures by identifying appropriate dynamic programming techniques like memoization.
- Compare computational complexity classes using Big O notation to determine optimal algorithmic solutions for large datasets.
All 10 Questions
- A logistical firm utilizes a greedy approach to find the Minimum Spanning Tree (MST) of a city's fiber-optic grid. Which algorithm is most likely being applied if the process involves sorting all edges by weight and adding them only if they do not create a cycle?A) Dijkstra’s AlgorithmB) Kruskal’s AlgorithmC) Bellman-Ford AlgorithmD) Floyd-Warshall Algorithm
- When refactoring a recursive solution for the 'Longest Common Subsequence' problem to avoid redundant calculations, a developer uses a table to store results of subproblems. This technique is known as ________.A) BacktrackingB) Linear ProbingC) MemoizationD) Heuristic Search
- In Big O notation, an algorithm with a time complexity of O(2^n) is considered more efficient for large datasets than one with O(n^3).A) TrueB) False
Show all 10 questions
- Imagine you are designing a GPS system for a delivery drone that must calculate the shortest path in a graph where some edges might have negative weights (representing energy regeneration). Which algorithm would be most appropriate?A) A* SearchB) Breadth-First SearchC) Dijkstra’s AlgorithmD) Bellman-Ford Algorithm
- Which specific data structure is essential for implementing a Breadth-First Search (BFS) to ensure the shortest path is found in an unweighted graph?A) Stack (LIFO)B) Queue (FIFO)C) Max-HeapD) Binary Search Tree
- A developer is optimizing a social media 'friend recommendation' engine. They decide to use a ________ to represent the network, where individuals are nodes and friendships are edges.A) Adjacency MatrixB) Linked ListC) Hash MapD) Priority Queue
- P vs NP is a major unsolved problem in computer science where P represents problems solvable in polynomial time and NP represents problems whose solutions can be verified in polynomial time.A) TrueB) False
- In the context of the Knapsack Problem, which approach guarantees the globally optimal solution for the '0/1' version (where items cannot be split)?A) Greedy approach based on valueB) Greedy approach based on weightC) Dynamic ProgrammingD) Linear Search
- When an algorithm solves a problem by using a 'divide and conquer' strategy, it splits the problem into smaller parts, solves them, and then uses a ________ step to combine the results.A) ParsingB) MergingC) HasingD) Encoding
- An 'in-place' sorting algorithm is one that requires O(n) additional memory space beyond the input array to execute.A) TrueB) False
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よくある質問
Yes, this Circuit Architectures Quiz is an excellent choice for a computer science sub-plan because it provides clear explanations for each answer, allowing students to self-correct and learn independently.
Most 12th-grade students will finish this algorithmic blueprints quiz in approximately 20 to 30 minutes, depending on their prior familiarity with graph theory and Big O notation.
Instructors can use this computer science quiz for differentiation by using the included explanations as a teaching tool for students struggling with recursive logic while challenging advanced students to implement the code for these blueprints.
This specialized computer science quiz is specifically designed for 12th-grade students or advanced placement learners who are studying high-level data structures and algorithm design.
You can use this algorithmic blueprints quiz as a mid-unit check to identify which students have mastered greedy algorithms versus dynamic programming before moving on to more complex software architecture projects.
