Data Structures and Algorithms Main Quiz#2 Part-2

CS 201 Data Structures and Algorithms

Main Quiz#2 Part-2
Objective To implement Bellman Ford algorithm
Total marks 5

Penalty for violating naming
convention(s)
5%
Input
Your program should accept an input file as a command-line argument. A typical execution of your
program will be ./a.out sample.graph. The input file represents a weighted directed graph. The first line
of the file contains two numbers - first being the number of vertices n and the second being the number
of edges m. The vertices are numbered from 0 to n-1. Every other line is of the form u v w, which
represents a directed edge from vertex u to vertex v where the weight of the edge is w. Please note that
there may be vertices in the graph not part of any edges.
Task
Implement Bellman-Ford algorithm to find shortest path distances from the source vertex 0 to all
vertices. The output file should be named as ‘sd.txt’. The output file must contain exactly n lines and
each line is of the form <vertex> <dist>, where <vertex> is the label of the vertex (this value is 0 in the
first line, 1 in the second line and so on) and <dist> is the distance from the vertex 0 to <vertex>. The
value <dist> can be of three types:
(i) An integer - if there is a path from vertex 0 to <vertex> and the shortest distance is well defined;
(ii) “+inf” if there is no path from the vertex 0 to other <vertex>;
(iii) “-inf” if there is a path from the vertex 0 to <vertex> but the shortest distance is not well defined
(because there is a path from 0 to <vertex> which contains a negative weighted cycle)
Submission
● The program you submit should output ‘sd.txt’ when run.
● The main file of your program should be named as <roll no>.<extension>, where roll no. specifies
your roll no. and the extension depends on the language you choose (Usage of C is mandatory
for this assignment). Ex: 200010001.c.
● Test well before submission. You may use the attached sample input file for testing. The
corresponding output file is also attached. We have some hidden inputs with us to test your
program. The mark you obtain is purely based on whether your program correctly gives outputs
for the hidden inputs.
● If your program has only a single source file, please submit the file as it is. If your program has
multiple source files, please submit your code as a zip file where the name of the zip file should
be your roll number. It is important that you follow the input/output conventions exactly
(including the naming scheme) as we may be doing an automated evaluation. There will be a
penalty of 5% (on the mark you deserve otherwise) if you do not follow the naming
conventions exactly.
● Follow some coding style uniformly. Provide proper comments in your code.
● Submit only through moodle. Submit well in advance. Any hiccups in the moodle/internet at the
last minute is never acceptable as an excuse for late submission. Submissions through email or
any other means will be ignored.
● Acknowledge the people (other than the instructor and TA) who helped you to solve this
assignment. The details of the help you received and the names of the people who helped you
(including internet sources, if applicable) should come in the beginning of the main file as a
comment. Copying others’ programs is a serious offence and a deserving penalty will be imposed
if found.
Evaluation
● To consider for the evaluation without penalty, you have to submit your program by the due
date. If you submit after the due date but on or before the cut-off date, there will be a penalty
of 5% on the marks you deserve otherwise.
● If you do not submit by the cut-off date, your program will not be considered for the first
evaluation.