SlideShare a Scribd company logo
Lecture 03
Problem Solving
CSE115: Computing Concepts
Introduction to Problem Solving
•Problem solving is the process of transforming the
description of a problem into a solution by using our
knowledge of the problem domain and by relying on
our ability to select and use appropriate problem-
solving strategies, techniques and tools.
•Computers can be used to help us solving problems
Software Development Method (SDM)
1. Specification of needs
2. Problem analysis
3. Design and algorithmic representation
4. Implementation
5. Testing and verification
6. Documentation
Specification of Needs
•To understand exactly:
• what the problem is
• what is needed to solve it
• what the solution should provide
• if there are constraints and special conditions.
I want a
train…
Problem Analysis
• In the analysis phase, we should identify the following:
• Inputs to the problem, their form and the input media to be
used
• Outputs expected from the problem, their form and the output
media to be used
• Special constraints or conditions (if any)
• Formulas or equations to be used
Design and Algorithmic Representation
• An algorithm is a sequence of a finite number of steps
arranged in a specific logical order which, when executed,
produces the solution for a problem.
• An algorithm must satisfy these requirements:
• It may have an input(s)
• It must have an output
• It should not be ambiguous (there should not be different
interpretations to it)
• Every step in algorithm must be clear as what it is supposed to
do
Design and Algorithmic Representation
• It must be general (it can be used for different inputs)
• It must be correct and it must solve the problem for which it is
designed
• It must execute and terminate in a finite amount of time
• It must be efficient enough so that it can solve the intended
problem using the resource currently available on the computer
• An algorithm can be represented using pseudocodes or
flowcharts.
Cse115 lecture03problemsolving
Pseudocodes
• A pseudocode is a semiformal, English-like language with limited
vocabulary that can be used to design and describe algorithms.
• Criteria of a good pseudocode:
• Easy to understand, precise and clear
• Gives the correct solution in all cases
• Eventually ends
Pseudocodes: The Sequence control structure
• A series of steps or statements that are executed in the order they
are written in an algorithm.
• The beginning and end of a block of statements can be optionally
marked with the keywords begin and end.
• Example 1:
Begin
Read the birth date from the user.
Calculate the difference between the
birth date and today’s date.
Print the user age.
End
Pseudocodes: The Selection control structure
• Defines two courses of action depending on the outcome of a
condition. A condition is an expression that is, when computed,
evaluated to either true or false.
• The keyword used are if and else.
• Format:
if condition
then-part
else
else-part
end_if
Example:
if age is greater than 55
print “Retire”
else
print “Work Work Work”
end_if
Pseudocodes: The Selection control structure
•Sometimes in certain situation, we may omit the
else-part.
if number is odd number
print “This is an odd number”
end_if
Pseudocodes: The Selection control structure
• Nested selection structure: basic selection structure that
contains other if/else structure in its then-part or else-
part.
if number is equal to 1
print “One”
else if number is equal to 2
print “Two”
else if number is equal to 3
print “Three”
else
print “Other”
end_if
Pseudocodes: The Repetition control structure
• Specifies a block of one or more statements that are repeatedly
executed until a condition is satisfied.
• The keyword used is while.
• Format:
while condition
loop-body
end_while
Pseudocodes: The Repetition control structure
• Example: Summing up 1 to 10
set cumulative sum to 0
set current number to 1
while current number is less or equal to 10
add the cumulative sum to current number
add 1 to current number
end_while
print the value of cumulative sum
Pseudocodes: The Repetition control structure
• Subsequently, we can write the previous pseudocode with
something like this.
• Example: Summing up 10 numbers
cumulative sum = 0
current number = 1
while current number is less or equal to 10
cumulative sum = cumulative sum + current number
current number = current number + 1
end_while
print the value of cumulative sum
• Note that in this algorithm, we are using both the
sequence and repetition control structure
Pseudocodes: The Repetition control structure
• Example:
Begin
number of users giving his birth date = 0
while number of users giving his birth date < 10
Read the birth date from the user.
Calculate the difference between the birth
date and today’s date.
Print the user age.
if the age is greater than 55
print “retire”
else
print “keep working”
end_if
number of user giving his birth date + 1
end_while
End
Flowcharts
• Flowcharts is a graph used to depict or show a step by
step solution using symbols which represent a task.
• The symbols used consist of geometrical shapes that are
connected by flow lines.
• It is an alternative to pseudocoding; whereas a
pseudocode description is verbal, a flowchart is graphical
in nature.
Flowchart Symbols
Terminal symbol - indicates the beginning and
end points of an algorithm.
Process symbol - shows an instruction other than
input, output or selection.
Input-output symbol - shows an input or an output
operation.
Disk storage I/O symbol - indicates input from
or output to disk storage.
Printer output symbol - shows hardcopy printer
output.
Flowchart Symbols cont…
Selection symbol - shows a selection process
for two-way selection.
Off-page connector - provides continuation
of a logical path on another page.
On-page connector - provides continuation
of logical path at another point in the same
page.
Flow lines - indicate the logical sequence of
execution steps in the algorithm.
Flowchart – sequence control structure
Statement 2
Statement 1
Statement 3
:
Flowchart – selection control structure
Condition
else-
statement(s)
then-
statement(s)
YesNo
Flowchart – repetition control structure
Condition
Loop
Statement(s)
yes
no
Flowchart – example 1
Begin
Read birth date
Calculate
Age = current year – birth date
Display
age
End
Flowchart – example 2
Begin
Read age
End
Age > 55? NOYES
print “retired” print “keep working”
Flowchart – example 3
Begin
End
current_number <= 10?
NO
YES
sum = 0
current_number = 1
sum = sum + current_number
current_number = current_number + 1
print sum
Implementation
• The process of implementing an algorithm by writing a
computer program using a programming language (for
example, using C language)
• The output of the program must be the solution of the
intended problem
• The program must not do anything that it is not supposed to
do
• (Think of those many viruses, buffer overflows, trojan horses, etc.
that we experience almost daily. All these result from programs doing
more than they were intended to do)
Testing and Verification
• Program testing is the process of executing a program to
demonstrate its correctness
• Program verification is the process of ensuring that a program
meets user-requirement
• After the program is compiled, we must run the program and
test/verify it with different inputs before the program can be
released to the public or other users (or to the instructor of this
class)
Awesome!!!
Documentation
• Contains details produced at all stages of the program
development cycle.
• Can be done in 2 ways:
• Writing comments between your line of codes
• Creating a separate text file to explain the program
• Important not only for other people to use or modify your
program, but also for you to understand your own program
after a long time (believe me, you will forget the details of your
own program after some time ...)
Documentation
• Documentation is so important because:
• You may return to this program in future to use the whole of or a part
of it again
• Other programmer or end user will need some information about
your program for reference or maintenance
• You may someday have to modify the program, or may discover some
errors or weaknesses in your program
• Although documentation is listed as the last stage of software
development method, it is actually an ongoing process which
should be done from the very beginning of the software
development process.
Homework
• Read the value of the height, width and length of a box from
the user and print its volume.
• Convert temperature (provided as input) from degree Celsius
to degree Fahrenheit.
• Find the minimum of three given numbers.
• Find the maximum of three given numbers.
• Take a, b and c as input and determine the roots for the
equation ax2+bx+c.
• Read a positive integer n from the user and then compute and
print the sum of all integers between 1 and n.
• Read 100 numbers from the user and print their sum.
• Determine whether a given integer is a prime number or not.
• Find the smallest integer n such that, 1+2+3+...+n is equal to
or greater than 1000.

More Related Content

PDF
Cse115 lecture04introtoc programming
Md. Ashikur Rahman
 
PDF
Cse115 lecture02overviewofprogramming
Md. Ashikur Rahman
 
PDF
Cse115 lecture08repetitionstructures part02
Md. Ashikur Rahman
 
PDF
Cse115 lecture01numbersystems
Md. Ashikur Rahman
 
PPT
C++ programming program design including data structures
Ahmad Idrees
 
PPT
Basics of c++ Programming Language
Ahmad Idrees
 
PDF
Lec08-CS110 Computational Engineering
Sri Harsha Pamu
 
PPT
Basics of c++
Madhavendra Dutt
 
Cse115 lecture04introtoc programming
Md. Ashikur Rahman
 
Cse115 lecture02overviewofprogramming
Md. Ashikur Rahman
 
Cse115 lecture08repetitionstructures part02
Md. Ashikur Rahman
 
Cse115 lecture01numbersystems
Md. Ashikur Rahman
 
C++ programming program design including data structures
Ahmad Idrees
 
Basics of c++ Programming Language
Ahmad Idrees
 
Lec08-CS110 Computational Engineering
Sri Harsha Pamu
 
Basics of c++
Madhavendra Dutt
 

What's hot (20)

PPTX
C++ AND CATEGORIES OF SOFTWARE
UNIVERSITY OF ENGINEERING AND TECHNOLOGY TAXILA
 
PPT
C programming
Harshit Varshney
 
ODP
(2) cpp imperative programming
Nico Ludwig
 
PPTX
C++ Programming Language Training in Ambala ! Batra Computer Centre
jatin batra
 
PDF
C++ Tokens
Amrit Kaur
 
PPTX
C++ PROGRAMMING BASICS
Aami Kakakhel
 
PPT
C language programming
Vaibhav Salonia
 
PPTX
c++
SindhuVelmukull
 
PPT
Basic concept of c++
shashikant pabari
 
PPTX
Learning C++ - Introduction to c++ programming 1
Ali Aminian
 
PDF
Python unit 2 as per Anna university syllabus
DhivyaSubramaniyam
 
PPT
Introduction To Algorithm [2]
ecko_disasterz
 
PPT
Lecture#2 Computer languages computer system and Programming EC-105
NUST Stuff
 
PPTX
Introduction to Programming
ALI RAZA
 
PPTX
Cs1123 3 c++ overview
TAlha MAlik
 
PPT
Copy of dti2143/dam31303 chap 1 problem solving and program design
alish sha
 
PPTX
C language basics
Milind Deshkar
 
PPT
C++ Language
Syed Zaid Irshad
 
PPTX
POLITEKNIK MALAYSIA
Aiman Hud
 
PPTX
Unit 2. Elements of C
Ashim Lamichhane
 
C++ AND CATEGORIES OF SOFTWARE
UNIVERSITY OF ENGINEERING AND TECHNOLOGY TAXILA
 
C programming
Harshit Varshney
 
(2) cpp imperative programming
Nico Ludwig
 
C++ Programming Language Training in Ambala ! Batra Computer Centre
jatin batra
 
C++ Tokens
Amrit Kaur
 
C++ PROGRAMMING BASICS
Aami Kakakhel
 
C language programming
Vaibhav Salonia
 
Basic concept of c++
shashikant pabari
 
Learning C++ - Introduction to c++ programming 1
Ali Aminian
 
Python unit 2 as per Anna university syllabus
DhivyaSubramaniyam
 
Introduction To Algorithm [2]
ecko_disasterz
 
Lecture#2 Computer languages computer system and Programming EC-105
NUST Stuff
 
Introduction to Programming
ALI RAZA
 
Cs1123 3 c++ overview
TAlha MAlik
 
Copy of dti2143/dam31303 chap 1 problem solving and program design
alish sha
 
C language basics
Milind Deshkar
 
C++ Language
Syed Zaid Irshad
 
POLITEKNIK MALAYSIA
Aiman Hud
 
Unit 2. Elements of C
Ashim Lamichhane
 
Ad

Similar to Cse115 lecture03problemsolving (20)

PPTX
Software develop....
GCWUS
 
PPTX
s-INTRODUCTION TO PROBLEM SOLVING PPT.pptx
ShamithRai
 
PPT
Proble, Solving & Automation
Janani Satheshkumar
 
PPT
UNIT- 3-FOC.ppt
KalaivaniRMECLectCSE
 
PPTX
Data Structures_Introduction to algorithms.pptx
RushaliDeshmukh2
 
PDF
Introduction to programming : flowchart, algorithm
Kritika Chauhan
 
PDF
Algorithm.pdf
MIT,Imphal
 
PPTX
Algorithm Design and Problem Solving [Autosaved].pptx
KaavyaGaur1
 
PPTX
vingautosaved-230525024624-6a6fb3b2.pptx
Orin18
 
PPTX
MODULE1-INTRODUCTION.pptx-COMPUTER PROGRAMING
MarcMiguel2
 
PPTX
Programming C ppt for learning foundations
ssuser65733f
 
PPT
BCE L-2 Algorithms-and-Flowchart-ppt.ppt
Kirti Verma
 
PPT
Unit 1 psp
Karthi Vel
 
PPTX
Algorithm & data structure lec2
Abdul Khan
 
PPT
Ch1 principles of software development
Hattori Sidek
 
PPT
3 algorithm-and-flowchart
Rohit Shrivastava
 
PPTX
UNIT 1.pptx
ShaswatSurya
 
PPTX
Fundamentals of Programming Lecture #1.pptx
Eyasu46
 
PPT
Fundamentals of Programming Chapter 3
Mohd Harris Ahmad Jaal
 
PPTX
Unit 1 c programming language Tut and notes
achiver792
 
Software develop....
GCWUS
 
s-INTRODUCTION TO PROBLEM SOLVING PPT.pptx
ShamithRai
 
Proble, Solving & Automation
Janani Satheshkumar
 
UNIT- 3-FOC.ppt
KalaivaniRMECLectCSE
 
Data Structures_Introduction to algorithms.pptx
RushaliDeshmukh2
 
Introduction to programming : flowchart, algorithm
Kritika Chauhan
 
Algorithm.pdf
MIT,Imphal
 
Algorithm Design and Problem Solving [Autosaved].pptx
KaavyaGaur1
 
vingautosaved-230525024624-6a6fb3b2.pptx
Orin18
 
MODULE1-INTRODUCTION.pptx-COMPUTER PROGRAMING
MarcMiguel2
 
Programming C ppt for learning foundations
ssuser65733f
 
BCE L-2 Algorithms-and-Flowchart-ppt.ppt
Kirti Verma
 
Unit 1 psp
Karthi Vel
 
Algorithm & data structure lec2
Abdul Khan
 
Ch1 principles of software development
Hattori Sidek
 
3 algorithm-and-flowchart
Rohit Shrivastava
 
UNIT 1.pptx
ShaswatSurya
 
Fundamentals of Programming Lecture #1.pptx
Eyasu46
 
Fundamentals of Programming Chapter 3
Mohd Harris Ahmad Jaal
 
Unit 1 c programming language Tut and notes
achiver792
 
Ad

Recently uploaded (20)

PDF
flutter Launcher Icons, Splash Screens & Fonts
Ahmed Mohamed
 
DOCX
SAR - EEEfdfdsdasdsdasdasdasdasdasdasdasda.docx
Kanimozhi676285
 
PDF
Biodegradable Plastics: Innovations and Market Potential (www.kiu.ac.ug)
publication11
 
PPTX
22PCOAM21 Data Quality Session 3 Data Quality.pptx
Guru Nanak Technical Institutions
 
PDF
Zero Carbon Building Performance standard
BassemOsman1
 
PPTX
Module2 Data Base Design- ER and NF.pptx
gomathisankariv2
 
PDF
Packaging Tips for Stainless Steel Tubes and Pipes
heavymetalsandtubes
 
PDF
Cryptography and Information :Security Fundamentals
Dr. Madhuri Jawale
 
PPTX
Inventory management chapter in automation and robotics.
atisht0104
 
PPT
Ppt for engineering students application on field effect
lakshmi.ec
 
PPTX
Introduction of deep learning in cse.pptx
fizarcse
 
PDF
Zero carbon Building Design Guidelines V4
BassemOsman1
 
PDF
Introduction to Data Science: data science process
ShivarkarSandip
 
PPTX
MT Chapter 1.pptx- Magnetic particle testing
ABCAnyBodyCanRelax
 
PDF
Top 10 read articles In Managing Information Technology.pdf
IJMIT JOURNAL
 
PDF
Introduction to Ship Engine Room Systems.pdf
Mahmoud Moghtaderi
 
PPTX
database slide on modern techniques for optimizing database queries.pptx
aky52024
 
PPTX
Victory Precisions_Supplier Profile.pptx
victoryprecisions199
 
PPTX
Civil Engineering Practices_BY Sh.JP Mishra 23.09.pptx
bineetmishra1990
 
PPTX
business incubation centre aaaaaaaaaaaaaa
hodeeesite4
 
flutter Launcher Icons, Splash Screens & Fonts
Ahmed Mohamed
 
SAR - EEEfdfdsdasdsdasdasdasdasdasdasdasda.docx
Kanimozhi676285
 
Biodegradable Plastics: Innovations and Market Potential (www.kiu.ac.ug)
publication11
 
22PCOAM21 Data Quality Session 3 Data Quality.pptx
Guru Nanak Technical Institutions
 
Zero Carbon Building Performance standard
BassemOsman1
 
Module2 Data Base Design- ER and NF.pptx
gomathisankariv2
 
Packaging Tips for Stainless Steel Tubes and Pipes
heavymetalsandtubes
 
Cryptography and Information :Security Fundamentals
Dr. Madhuri Jawale
 
Inventory management chapter in automation and robotics.
atisht0104
 
Ppt for engineering students application on field effect
lakshmi.ec
 
Introduction of deep learning in cse.pptx
fizarcse
 
Zero carbon Building Design Guidelines V4
BassemOsman1
 
Introduction to Data Science: data science process
ShivarkarSandip
 
MT Chapter 1.pptx- Magnetic particle testing
ABCAnyBodyCanRelax
 
Top 10 read articles In Managing Information Technology.pdf
IJMIT JOURNAL
 
Introduction to Ship Engine Room Systems.pdf
Mahmoud Moghtaderi
 
database slide on modern techniques for optimizing database queries.pptx
aky52024
 
Victory Precisions_Supplier Profile.pptx
victoryprecisions199
 
Civil Engineering Practices_BY Sh.JP Mishra 23.09.pptx
bineetmishra1990
 
business incubation centre aaaaaaaaaaaaaa
hodeeesite4
 

Cse115 lecture03problemsolving

  • 2. Introduction to Problem Solving •Problem solving is the process of transforming the description of a problem into a solution by using our knowledge of the problem domain and by relying on our ability to select and use appropriate problem- solving strategies, techniques and tools. •Computers can be used to help us solving problems
  • 3. Software Development Method (SDM) 1. Specification of needs 2. Problem analysis 3. Design and algorithmic representation 4. Implementation 5. Testing and verification 6. Documentation
  • 4. Specification of Needs •To understand exactly: • what the problem is • what is needed to solve it • what the solution should provide • if there are constraints and special conditions. I want a train…
  • 5. Problem Analysis • In the analysis phase, we should identify the following: • Inputs to the problem, their form and the input media to be used • Outputs expected from the problem, their form and the output media to be used • Special constraints or conditions (if any) • Formulas or equations to be used
  • 6. Design and Algorithmic Representation • An algorithm is a sequence of a finite number of steps arranged in a specific logical order which, when executed, produces the solution for a problem. • An algorithm must satisfy these requirements: • It may have an input(s) • It must have an output • It should not be ambiguous (there should not be different interpretations to it) • Every step in algorithm must be clear as what it is supposed to do
  • 7. Design and Algorithmic Representation • It must be general (it can be used for different inputs) • It must be correct and it must solve the problem for which it is designed • It must execute and terminate in a finite amount of time • It must be efficient enough so that it can solve the intended problem using the resource currently available on the computer • An algorithm can be represented using pseudocodes or flowcharts.
  • 9. Pseudocodes • A pseudocode is a semiformal, English-like language with limited vocabulary that can be used to design and describe algorithms. • Criteria of a good pseudocode: • Easy to understand, precise and clear • Gives the correct solution in all cases • Eventually ends
  • 10. Pseudocodes: The Sequence control structure • A series of steps or statements that are executed in the order they are written in an algorithm. • The beginning and end of a block of statements can be optionally marked with the keywords begin and end. • Example 1: Begin Read the birth date from the user. Calculate the difference between the birth date and today’s date. Print the user age. End
  • 11. Pseudocodes: The Selection control structure • Defines two courses of action depending on the outcome of a condition. A condition is an expression that is, when computed, evaluated to either true or false. • The keyword used are if and else. • Format: if condition then-part else else-part end_if Example: if age is greater than 55 print “Retire” else print “Work Work Work” end_if
  • 12. Pseudocodes: The Selection control structure •Sometimes in certain situation, we may omit the else-part. if number is odd number print “This is an odd number” end_if
  • 13. Pseudocodes: The Selection control structure • Nested selection structure: basic selection structure that contains other if/else structure in its then-part or else- part. if number is equal to 1 print “One” else if number is equal to 2 print “Two” else if number is equal to 3 print “Three” else print “Other” end_if
  • 14. Pseudocodes: The Repetition control structure • Specifies a block of one or more statements that are repeatedly executed until a condition is satisfied. • The keyword used is while. • Format: while condition loop-body end_while
  • 15. Pseudocodes: The Repetition control structure • Example: Summing up 1 to 10 set cumulative sum to 0 set current number to 1 while current number is less or equal to 10 add the cumulative sum to current number add 1 to current number end_while print the value of cumulative sum
  • 16. Pseudocodes: The Repetition control structure • Subsequently, we can write the previous pseudocode with something like this. • Example: Summing up 10 numbers cumulative sum = 0 current number = 1 while current number is less or equal to 10 cumulative sum = cumulative sum + current number current number = current number + 1 end_while print the value of cumulative sum • Note that in this algorithm, we are using both the sequence and repetition control structure
  • 17. Pseudocodes: The Repetition control structure • Example: Begin number of users giving his birth date = 0 while number of users giving his birth date < 10 Read the birth date from the user. Calculate the difference between the birth date and today’s date. Print the user age. if the age is greater than 55 print “retire” else print “keep working” end_if number of user giving his birth date + 1 end_while End
  • 18. Flowcharts • Flowcharts is a graph used to depict or show a step by step solution using symbols which represent a task. • The symbols used consist of geometrical shapes that are connected by flow lines. • It is an alternative to pseudocoding; whereas a pseudocode description is verbal, a flowchart is graphical in nature.
  • 19. Flowchart Symbols Terminal symbol - indicates the beginning and end points of an algorithm. Process symbol - shows an instruction other than input, output or selection. Input-output symbol - shows an input or an output operation. Disk storage I/O symbol - indicates input from or output to disk storage. Printer output symbol - shows hardcopy printer output.
  • 20. Flowchart Symbols cont… Selection symbol - shows a selection process for two-way selection. Off-page connector - provides continuation of a logical path on another page. On-page connector - provides continuation of logical path at another point in the same page. Flow lines - indicate the logical sequence of execution steps in the algorithm.
  • 21. Flowchart – sequence control structure Statement 2 Statement 1 Statement 3 :
  • 22. Flowchart – selection control structure Condition else- statement(s) then- statement(s) YesNo
  • 23. Flowchart – repetition control structure Condition Loop Statement(s) yes no
  • 24. Flowchart – example 1 Begin Read birth date Calculate Age = current year – birth date Display age End
  • 25. Flowchart – example 2 Begin Read age End Age > 55? NOYES print “retired” print “keep working”
  • 26. Flowchart – example 3 Begin End current_number <= 10? NO YES sum = 0 current_number = 1 sum = sum + current_number current_number = current_number + 1 print sum
  • 27. Implementation • The process of implementing an algorithm by writing a computer program using a programming language (for example, using C language) • The output of the program must be the solution of the intended problem • The program must not do anything that it is not supposed to do • (Think of those many viruses, buffer overflows, trojan horses, etc. that we experience almost daily. All these result from programs doing more than they were intended to do)
  • 28. Testing and Verification • Program testing is the process of executing a program to demonstrate its correctness • Program verification is the process of ensuring that a program meets user-requirement • After the program is compiled, we must run the program and test/verify it with different inputs before the program can be released to the public or other users (or to the instructor of this class) Awesome!!!
  • 29. Documentation • Contains details produced at all stages of the program development cycle. • Can be done in 2 ways: • Writing comments between your line of codes • Creating a separate text file to explain the program • Important not only for other people to use or modify your program, but also for you to understand your own program after a long time (believe me, you will forget the details of your own program after some time ...)
  • 30. Documentation • Documentation is so important because: • You may return to this program in future to use the whole of or a part of it again • Other programmer or end user will need some information about your program for reference or maintenance • You may someday have to modify the program, or may discover some errors or weaknesses in your program • Although documentation is listed as the last stage of software development method, it is actually an ongoing process which should be done from the very beginning of the software development process.
  • 31. Homework • Read the value of the height, width and length of a box from the user and print its volume. • Convert temperature (provided as input) from degree Celsius to degree Fahrenheit. • Find the minimum of three given numbers. • Find the maximum of three given numbers. • Take a, b and c as input and determine the roots for the equation ax2+bx+c. • Read a positive integer n from the user and then compute and print the sum of all integers between 1 and n. • Read 100 numbers from the user and print their sum. • Determine whether a given integer is a prime number or not. • Find the smallest integer n such that, 1+2+3+...+n is equal to or greater than 1000.