GATE CSE 1987 | Divide and Conquer Method Question 34 | Algorithms

GATE CSE 1987

MCQ (Single Correct Answer)

-0.6

Let P be a quicksort program to sort numbers in ascending order. Let t₁ and t₂ be the time taken by the program for the inputs [1 2 3 4] and [5 4 3 2 1], respectively. Which of the following holds?

t₁ = t₂

t₁ > t₂

t₁ < t₂

t₁= t₂ + 5 log 5

GATE CSE 1987

Subjective

-0

Find a solution to the following recurrence equation
T(n) = T(n - 1)+ n
T(1) = 1

GATE CSE Subjects

Theory of Computation

Undecidability Finite Automata and Regular Language Push Down Automata and Context Free Language Recursively Enumerable Language and Turing Machine

Operating Systems

Process Concepts and Cpu Scheduling Synchronization and Concurrency Deadlocks Memory Management File System IO and Protection

Algorithms

Complexity Analysis and Asymptotic Notations Searching and Sorting Divide and Conquer Method Greedy Method P and NP Concepts Dynamic Programming

Digital Logic

Number Systems Boolean Algebra K Maps Combinational Circuits Sequential Circuits

Database Management System

Structured Query Language Transactions and Concurrency Functional Dependencies and Normalization Relational Algebra File Structures and Indexing Er Diagrams

Data Structures

Trees Hashing Arrays Linked List Graphs Stacks and Queues

Computer Networks

Concepts of Layering Lan Technologies and Wi-Fi Data Link Layer and Switching Network Layer Routing Algorithm TCP UDP Sockets and Congestion Control Application Layer Protocol Network Security

Software Engineering

Compiler Design

Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization

Web Technologies

General Aptitude

Verbal Ability Numerical Ability

Discrete Mathematics

Mathematical Logic Probability Set Theory & Algebra Combinatorics Linear Algebra Graph Theory Calculus

Programming Languages

Basic of Programming Language Function and Recursion Pointer and Structure in C

Computer Organization

Computer Arithmetic Memory Interfacing Pipelining Machine Instructions and Addressing Modes Alu Data Path and Control Unit IO Interface Secondary Memory