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Q1) Express given five loosely described problems carefully in { Instance, Question } form as utilized in "Computers and Intractability". For each problem discuss the best time and space complexity you are aware of for solving the problem (from scratch) along with a few words naming or describing the method.
(i) Determine the median of n = 2 k + 1 integers.
(ii) Determine the 2 largest and 2 smallest of n integers.
(iii) Determine that a graph is not a forest (not acyclic).
(iv) Determine that a list of n numbers has no duplicates.
(v) Determine that maximum number of edge disjoint paths between vertices v and w in a graph is less than k.
Design a dimensional model for analysing Purchases for Adventure Works Cycles and implement it as cubes using SQL Server Analysis Services. The AdventureWorks OLTP sample database is the data source for you BI analysis.
Design a Database schema
Create an entity-relationship diagram and design accompanying table layout using sound relational modeling practices and concepts.
Implement a database of courses and students for a school.
Energy in the home, personal energy use and home energy efficiency and Efficient use of ‘waste' heat and renewable heat sources
Design relation schemas for the entire database.
Prepare the relational schema for database
Data Modeling and Normalization
Use Cases Perform a requirements analysis for the Case Study
Knowledge and Data Warehousing
Identify and explain the differences between a stack and a queue data structure
Practice on topic of Normalization
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