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Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, [email protected] Dept. of Computer Science & Engineering. Indian Institute of Technology Kharagpur Spring Semester 2015 Programming and Data Structure 1
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Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, [email protected] Dept.

Dec 24, 2015

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Page 1: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Programming and Data Structure

Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5)

Pabitra Mitra (6,7)

sujoy, anupam, [email protected]

Dept. of Computer Science & Engineering.Indian Institute of Technology

Kharagpur

Spring Semester 2015 Programming and Data Structure 1

Page 2: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Some General Announcements

Spring Semester 2015 Programming and Data Structure 2

Page 3: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

About the Course• L-T-P rating of 3-1-0.• There is a separate laboratory of 0-0-3.

– Grading will be separate.• Tutorial classes (one hour per week) will be

conducted on a “per section” basis during laboratory classes.

• Evaluation in the theory course: (Absolute Grading)– Mid-semester :30% (25% + 5% for attendance till mid

term)– End-semester: 50% (45% +5% for attendance post midterm )

– Two class tests: 20%Spring Semester 2015 Programming and Data Structure 3

Page 4: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Course Materials• The slides for the lectures will be made

available on the web. http://cse.iitkgp.ac.in/~pdsAlso register at http://intinno.iitkgp.ernet.in/

• All important announcements will be put up on the intinno page and the course web page.

Spring Semester 2015 Programming and Data Structure 4

Page 5: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

ATTENDANCE IN THE CLASSES IS MANDATORY Students having poor attendance will be

penalized in terms of the final grade / deregistration.

Any student with less than 75% attendance

would be debarred from appearing in the examinations.

Spring Semester 2015 Programming and Data Structure 5

Page 6: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Text/Reference Books

1. C Programming : Kernighan and Ritchie2. Programming with C

B.S. Gottfried, Schaum’s Outline Series, Tata McGraw-Hill, 2006.

OR Any other book on C

Spring Semester 2015 Programming and Data Structure 6

Page 7: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Introduction

Spring Semester 2015 Programming and Data Structure 7

Page 8: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

What is a Computer?

Spring Semester 2015 Programming and Data Structure 8

Central Processing

Unit(CPU)

InputDevice

OutputDevice

Main Memory

Storage Peripherals

It is a machine which can accept data, process them, and output results.

Page 9: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

• CPU– All computations take place here in order for the

computer to perform a designated task.– It has a large number of registers which temporarily

store data and programs (instructions).– It has circuitry to carry out arithmetic and logic

operations, take decisions, etc.– It retrieves instructions from the memory, interprets

(decodes) them, and perform the requested operation.

Spring Semester 2015 Programming and Data Structure 9

Page 10: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

• Main Memory– Uses semiconductor technology

• Allows direct access

– Memory sizes in the range of 256 Mbytes to 4 Gbytes are typical today.

– Some measures to be remembered• 1 K = 210 (= 1024)• 1 M = 220 (= one million approx.)• 1 G = 230 (= one billion approx.)

Spring Semester 2015 Programming and Data Structure 10

Page 11: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

• Input Device– Keyboard, Mouse, Scanner, Digital Camera

• Output Device– Monitor, Printer

• Storage Peripherals– Magnetic Disks: hard disk, floppy disk

• Allows direct (semi-random) access– Optical Disks: CDROM, CD-RW, DVD

• Allows direct (semi-random) access– Flash Memory: pen drives

• Allows direct access– Magnetic Tape: DAT

• Only sequential access

Spring Semester 2015 Programming and Data Structure 11

Page 12: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Typical Configuration of a PC

• CPU: Pentium IV, 2.8 GHz• Main Memory: 512 MB• Hard Disk: 80 GB• Floppy Disk: Not present• CDROM: DVD combo-drive• Input Device: Keyboard, Mouse• Output Device: 17” color monitor• Ports: USB, Bluetooth, InfraredSpring Semester 2015 Programming and Data Structure 12

Page 13: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

How does a computer work?

• Stored program concept.– Main difference from a calculator.

• What is a program?– Set of instructions for carrying out a specific task.

• Where are programs stored?– In secondary memory, when first created.– Brought into main memory, during execution.

Spring Semester 2015 Programming and Data Structure 13

Page 14: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Memory map

Spring Semester 2015 Programming and Data Structure 14

Address 0Address 1Address 2Address 3Address 4Address 5Address 6

Address N-1

Every variable is mapped to a particular memory address

Page 15: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Instructions & Variables in Memory

Spring Semester 2015 Programming and Data Structure 15

10

20

21

105

Memory location allocated to a variable X

X = 10

X = 20

X = X + 1

X = X * 5

Instruction executed

Ti

me

Page 16: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Instr. & Variables in Memory (contd.)

Spring Semester 2015 Programming and Data Structure 16

20

20

18

18

Variable

X Y

X = 20

Y = 15

X = Y + 3

Y = X / 6

Instruction executed

?

15

15

3

Ti

me

Page 17: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Classification of Software

• Two categories:1. Application Software

• Used to solve a particular problem.• Editor, financial accounting, weather forecasting, etc.

2. System Software• Helps in running other programs.• Compiler, operating system, etc.

Spring Semester 2015 Programming and Data Structure 17

Page 18: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Operating Systems

• Makes the computer easy to use.– Basically the computer is very difficult to use.– Understands only machine language.

• Operating systems make computers easy to use.• Categories of operating systems:

– Single user– Multi user

• Time sharing• Multitasking• Real time

Spring Semester 2015 Programming and Data Structure 18

Page 19: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Contd.• Popular operating systems:

– DOS: single-user– Windows 2000/XP: single-user multitasking – Unix: multi-user– Linux: a free version of Unix

• The laboratory class will be based on Linux.• Question:

– How multiple users can work on the same computer?

Spring Semester 2015 Programming and Data Structure 19

Page 20: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Contd.

• Computers connected in a network.• Many users may work on a computer.

– Over the network.– At the same time.– CPU and other resources are shared among the

different programs.• Called time sharing.• One program executes at a time.

Spring Semester 2015 Programming and Data Structure 20

Page 21: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Multiuser Environment

Spring Semester 2015 Programming and Data Structure 21

Computer Computer ComputerComputer Computer Computer

PrinterUser 1 User 2 User 4User 3 User 4

Computer Network

Page 22: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Computer Languages

• Machine Language– Expressed in binary.– Directly understood by the computer.– Not portable; varies from one machine type to

another.• Program written for one type of machine will not run

on another type of machine.

– Difficult to use in writing programs.

Spring Semester 2015 Programming and Data Structure 22

Page 23: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Contd.• Assembly Language

– Mnemonic form of machine language.– Easier to use as compared to machine language.

• For example, use “ADD” instead of “10110100”.

– Not portable (like machine language).– Requires a translator program called assembler.

Spring Semester 2015 Programming and Data Structure 23

Assembler

Assembly language program

Machine language program

Page 24: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Contd.

• Assembly language is also difficult to use in writing programs.– Requires many instructions to solve a problem.

• Example: Find the average of three numbers.MOV A,X ; A = XADD A,Y ; A = A + YADD A,Z ; A = A + ZDIV A,3 ; A = A / 3MOV RES,A ; RES = A

Spring Semester 2015 Programming and Data Structure 24

In C,

RES = (X + Y + Z) / 3

Page 25: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

High-Level Language• Machine language and assembly language are

called low-level languages.– They are closer to the machine.– Difficult to use.

• High-level languages are easier to use.– They are closer to the programmer.– Examples:

• Fortran, Cobol, C, C++, Java.

– Requires an elaborate process of translation.• Using a software called compiler.

– They are portable across platforms.Spring Semester 2015 Programming and Data Structure 25

Page 26: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Contd.

Spring Semester 2015 Programming and Data Structure 26

Compiler Object code Linker

Library

HLL program

Executable code

Page 27: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

To Summarize

• Assembler– Translates a program written in assembly language

to machine language.• Compiler

– Translates a program written in high-level language to machine language.

Spring Semester 2015 Programming and Data Structure 27

Page 28: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Number System :: The Basics• We are accustomed to using the so-called

decimal number system.– Ten digits :: 0,1,2,3,4,5,6,7,8,9– Every digit position has a weight which is a

power of 10.• Example:

234 = 2 x 102 + 3 x 101 + 4 x 100

250.67 = 2 x 102 + 5 x 101 + 0 x 100 + 6 x 10-1

+ 7 x 10-2

Spring Semester 2015 Programming and Data Structure 28

Page 29: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Contd.

• A digital computer is built out of tiny electronic switches.– From the viewpoint of ease of manufacturing and

reliability, such switches can be in one of two states, ON and OFF.

– A switch can represent a digit in the so-called binary number system, 0 and 1.

• A computer works based on the binary number system.

Spring Semester 2015 Programming and Data Structure 29

Page 30: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Concept of Bits and Bytes

• Bit– A single binary digit (0 or 1).

• Nibble– A collection of four bits (say, 0110).

• Byte– A collection of eight bits (say, 01000111).

• Word– Depends on the computer.– Typically 4 or 8 bytes (that is, 32 or 64 bits).

Spring Semester 2015 Programming and Data Structure 30

Page 31: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Contd.

• A k-bit decimal number– Can express unsigned integers in the range 0 to 10k – 1

• For k=3, from 0 to 999.

• A k-bit binary number– Can express unsigned integers in the range 0 to 2k – 1

• For k=8, from 0 to 255.• For k=10, from 0 to 1023.

Spring Semester 2015 Programming and Data Structure 31

Page 32: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Basic Programming Concepts

Spring Semester 2015 Programming and Data Structure 32

Page 33: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Some Terminologies

• Algorithm / Flowchart– A step-by-step procedure for solving a particular

problem.– Should be independent of the programming

language.• Program

– A translation of the algorithm/flowchart into a form that can be processed by a computer.

– Typically written in a high-level language like C, C++, Java, etc.

Spring Semester 2015 Programming and Data Structure 33

Page 34: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Variables and Constants

• Most important concept for problem solving using computers.

• All temporary results are stored in terms of variables and constants.– The value of a variable can be changed.– The value of a constant do not change.

• Where are they stored?– In main memory.

Spring Semester 2015 Programming and Data Structure 34

Page 35: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Contd.

• How does memory look like (logically)?– As a list of storage locations, each having a unique

address.– Variables and constants are stored in these

storage locations.– Variable is like a house, and the name of a variable

is like the address of the house.• Different people may reside in the house, which is like

the contents of a variable.

Spring Semester 2015 Programming and Data Structure 35

Page 36: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Memory map

Spring Semester 2015 Programming and Data Structure 36

Address 0Address 1Address 2Address 3Address 4Address 5Address 6

Address N-1

Every variable is mapped to a particular memory address

Page 37: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Variables in Memory

Spring Semester 2015 Programming and Data Structure 37

10

20

21

105

Memory location allocated to a variable X

X = 10

X = 20

X = X + 1

X = X * 5

Instruction executed

Ti

me

Page 38: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Variables in Memory (contd.)

Spring Semester 2015 Programming and Data Structure 38

20

20

18

18

Variable

X Y

X = 20

Y = 15

X = Y + 3

Y = X / 6

Instruction executed

?

15

15

3

Ti

me

Page 39: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Data types

• Three common data types used:– Integer :: can store only whole numbers

• Examples: 25, -56, 1, 0

– Floating-point :: can store numbers with fractional values.

• Examples: 3.14159, 5.0, -12345.345

– Character :: can store a character• Examples: ‘A’, ‘a’, ‘*’, ‘3’, ‘ ’, ‘+’

Spring Semester 2015 Programming and Data Structure 39

Page 40: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Data Types (contd.)

• How are they stored in memory?– Integer ::

• 16 bits• 32 bits

– Float :: • 32 bits• 64 bits

– Char ::• 8 bits (ASCII code)• 16 bits (UNICODE, used in Java)

Spring Semester 2015 Programming and Data Structure 40

Actual number of bits varies from one computer to another

Page 41: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Problem solving• Step 1:

– Clearly specify the problem to be solved.• Step 2:

– Draw flowchart or write algorithm.• Step 3:

– Convert flowchart (algorithm) into program code.• Step 4:

– Compile the program into object code.• Step 5:

– Execute the program.Spring Semester 2015 Programming and Data Structure 41

Page 42: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Flowchart: basic symbols

Spring Semester 2015 Programming and Data Structure 42

Computation

Input / Output

Decision Box

Start / Stop

Page 43: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Contd.

Spring Semester 2015 Programming and Data Structure 43

Flow of control

Connector

Page 44: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Example 1: Adding three numbers

Spring Semester 2015 Programming and Data Structure 44

READ A, B, C

S = A + B + C

OUTPUT S

STOP

START

Page 45: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Example 2: Larger of two numbers

Spring Semester 2015 Programming and Data Structure 45

START

STOP

READ X, Y

OUTPUT Y

ISX>Y?

OUTPUT X

STOP

YES NO

Page 46: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Example 3: Largest of three numbers

Spring Semester 2015 Programming and Data Structure 46

START

READ X, Y, Z

ISLAR > Z?

ISX > Y?

LAR = X LAR = Y

OUTPUT LAR OUTPUT Z

STOP STOP

YES

YES

NO

NO

Page 47: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Example 4: Sum of first N natural numbers

Spring Semester 2015 Programming and Data Structure 47

START

READ N

SUM = 0COUNT = 1

SUM = SUM + COUNT

COUNT = COUNT + 1

ISCOUNT > N? OUTPUT SUM

STOP

YESNO

Page 48: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Example 5: SUM = 12 + 22 + 32 + N2

Spring Semester 2015 Programming and Data Structure 48

START

READ N

SUM = 0COUNT = 1

SUM = SUM + COUNT*COUNT

COUNT = COUNT + 1

ISCOUNT > N? OUTPUT SUM

STOP

YESNO

Page 49: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Example 6: SUM = 1.2 + 2.3 + 3.4 + to N terms

Spring Semester 2015 Programming and Data Structure 49

START

READ N

SUM = 0COUNT = 1

SUM = SUM + COUNT * (COUNT+1)

COUNT = COUNT + 1

ISCOUNT > N? OUTPUT SUM

STOP

YESNO

Page 50: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Example 7: Computing Factorial

Spring Semester 2015 Programming and Data Structure 50

START

READ N

PROD = 1COUNT = 1

PROD = PROD * COUNT

COUNT = COUNT + 1

ISCOUNT > N? OUTPUT PROD

STOP

YESNO

Page 51: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Example 8: Computing ex series up to N terms

Spring Semester 2015 Programming and Data Structure 51

START

READ X, N

TERM = 1SUM = 0

COUNT = 1

SUM = SUM + TERMTERM = TERM * X / COUNT

COUNT = COUNT + 1

ISCOUNT > N? OUTPUT SUM

STOP

YESNO

Page 52: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Example 9: Computing ex series up to 4 decimal places

Spring Semester 2015 Programming and Data Structure 52

START

READ X

TERM = 1SUM = 0

COUNT = 1

SUM = SUM + TERMTERM = TERM * X / COUNT

COUNT = COUNT + 1

ISTERM < 0.0001? OUTPUT SUM

STOP

YESNO

Page 53: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Example 10: Roots of a quadratic equation

Spring Semester 2015 Programming and Data Structure 53

ax2 + bx + c = 0

TRY YOURSELF

Page 54: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Example 11: Grade computationMARKS 90 Ex89 MARKS 80 A79 MARKS 70 B69 MARKS 60 C59 MARKS 50 D49 MARKS 35 P34 MARKS F

Spring Semester 2015 Programming and Data Structure 54

Page 55: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Grade Computation (contd.)

Spring Semester 2015 Programming and Data Structure 55

START

READ MARKS

OUTPUT “Ex”

MARKS 90? MARKS 80? MARKS 70?

OUTPUT “A” OUTPUT “B”

STOPSTOPSTOP

A

YESYESYES

NONONO

Page 56: Programming and Data Structure Instructors: Sujoy Ghosh (1,2,3), Anupam Basu (4,5) Pabitra Mitra (6,7) sujoy, anupam, pabitra@cse.iitkgp.ernet.in Dept.

Spring Semester 2015 Programming and Data Structure 56

MARKS 60?

STOP

OUTPUT “C”

A MARKS 50? MARKS 35?

OUTPUT “D” OUTPUT “P” OUTPUT “F”

STOP STOP STOP

YESYESYES

NONONO