CSS106 Introduction to Elementary Algorithms M.Sc Askar Satabaldiyev.

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Presentation transcript:

CSS106 Introduction to Elementary Algorithms M.Sc Askar Satabaldiyev

What is an “algorithm”?

algorithm(noun): a set of steps to accomplish a task

Go to bus station

Take a bus

Go to bus station Take a bus Go to university

Go to bus station Take a bus Go to university (!)

Slice bread

Apply cheese

Slice bread Apply cheese Get your cheese toast

Computer Science algorithms

Start with an input data

Do complex calculations

Start with an input data Do complex calculations Stop when we find answer

Computer Science

a few examples…

Compression algorithms

Finding optimal route algorithms

rendering algorithms

Optimization and scheduling algorithms

Which algorithms will you use?

Make your programs FASTER

Which algorithms could you CREATE?

Big Data Analysis

What makes a good algorithm?

What makes a good algorithm? 1. Correctness 2. Efficiency

Asymptotic Analysis #nodesNearest insertion Brute force … N2N2 N!

k = 0; for (i = 1; i <= N; i++) if (N % i == 0) k++; return k == 2; for (i = 2; i < n; i++) if(N % i == 0) return false; return true; another method… for (i = 2; i < sqrt(n); i++) if(N % i == 0) return false; return true; Which one is faster?

Grading Policy

Attendance 10% Midterm Exam 20% Assignment 15% Homework 15% Quizes 10% Final Exam 30% Contests/Codeforces/Bonus 20% Total 100%(+20?) Grading Policy

Intro to algorithms 01.Sept – 04.Sept Binary Search/Asymptotic notations 07.Sept – 11.Sept Selection sort/Insertion sort 15.Sept – 18.Sept Recursive algorithms 22.Sept – 25.Sept Towers of Hanoi/Merge Sort/Quick sort 29.Sept – 02.Oct Graph Representation 05.Oct – 09.Oct Breadth-first search 12.Oct – 16.Oct Midterm Exam 19.Oct – 23.Oct Upcoming Topics