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Introduction to Programming in C++
Seventh Edition
Chapter 2:
Beginning the Problem-Solving Process
• Explain the problem-solving process used to create a
computer program
• Analyze a problem
• Complete an IPO chart
• Plan an algorithm using pseudocode and flowcharts
• Desk-check an algorithm
Chapter Objectives
2An Introduction to Programming with C++, Seventh Edition
• People solve hundreds of simple problems every day
without thinking about how they do it
• Understanding the thought process involved can help in
solving more complex problems
• You can also use a similar process to design a computer
solution to a problem (computer program)
Problem Solving
3An Introduction to Programming with C++, Seventh Edition
• First step in solving a problem: analyze it
– Example: paying and mailing a bill
• Next, you plan, review, implement, and evaluate the
solution
• After this, it may be necessary to modify the solution
Solving Everyday Problems
4An Introduction to Programming with C++, Seventh Edition
Solving Everyday Problems (cont’d.)
Figure 2-1 Summary of the analysis and planning steps for
the bill paying problem
5An Introduction to Programming with C++, Seventh Edition
Solving Everyday Problems (cont’d.)
Figure 2-2 Modified algorithm for the bill paying problem
6An Introduction to Programming with C++, Seventh Edition
• A similar process to everyday problem solving is used to
create computer programs
• A computer program is a solution implemented on a
computer
• There are six steps to creating a computer solution to a
problem
Creating Computer Solutions to Problems
7An Introduction to Programming with C++, Seventh Edition
Creating Computer Solutions to Problems
(cont’d.)
Figure 2-3 How to create a computer solution to a problem
8An Introduction to Programming with C++, Seventh Edition
• It is essential to understand a problem before creating a
solution to it
• Analyze a problem to:
– Determine the goal of solving it (Output)
– Determine the items needed to achieve that goal (Input)
• Always search first for the output
Step 1−Analyzing the Problem
9An Introduction to Programming with C++, Seventh Edition
Step 1−Analyzing the Problem (cont’d.)
Figure 2-4 Problem specification for Treyson Mobley
10An Introduction to Programming with C++, Seventh Edition
• Some programmers use an IPO chart to organize and
summarize the results of a problem analysis
– IPO: Input, processing, and output
Step 1−Analyzing the Problem (cont’d.)
Figure 2-5 Partially completed IPO chart
showing the input and output items
11An Introduction to Programming with C++, Seventh Edition
• Several readings of the problem may be necessary to
fully understand the problem
• Cross out irrelevant information in the problem
description
Hints for Analyzing Problems
Figure 2-6 Problem specification with
unimportant information crossed out
12An Introduction to Programming with C++, Seventh Edition
• Some problem specifications contain incomplete
information
Hints for Analyzing Problems (cont’d.)
Figure 2-7 Problem specification that does
not contain enough information
13An Introduction to Programming with C++, Seventh Edition
• Distinguish between information that is missing and
information that is implied
Hints for Analyzing Problems (cont’d.)
Figure 2-8 Problem specification in
which the input is not explicitly stated
14An Introduction to Programming with C++, Seventh Edition
• Algorithm: set of instructions that will transform the
problem’s input into its output
– Record in the Processing column of the IPO chart
– Can be written as pseudocode or a flowchart
• Pseudocode: tool programmers use to help plan an
algorithm
– Short English statements
– Not standardized
– Not understandable by a computer
Step 2−Planning the Algorithm
15An Introduction to Programming with C++, Seventh Edition
Step 2−Planning the Algorithm (cont’d.)
Figure 2-9 Problem specification and IPO
chart for the Treyson Mobley problem
16An Introduction to Programming with C++, Seventh Edition
• Flowcharts are also used to plan an algorithm
– Use standardized symbols
– Symbols connected with flowlines
– Oval: start/stop symbol
• Represents beginning and end of algorithm
– Rectangle: process symbol
• Represents tasks such as calculations
– Parallelogram: input/output symbol
• Represents I/O tasks
Step 2−Planning the Algorithm (cont’d.)
17An Introduction to Programming with C++, Seventh Edition
Figure 2-10 Figure 2-9’s algorithm in flowchart form
18An Introduction to Programming with C++, Seventh Edition
Step 2−Planning the Algorithm (cont’d.)
• A problem can have more than one solution
Step 2−Planning the Algorithm (cont’d.)
Figure 2-11 A different solution to the
Treyson Mobley problem (pseudocode)
19An Introduction to Programming with C++, Seventh Edition
• Processing item: an intermediate
value (neither input nor output)
the algorithm uses to transform
input into output
Step 2−Planning the Algorithm (cont’d.)
Figure 2-11 A different solution to the
Treyson Mobley problem (flowchart)
20An Introduction to Programming with C++, Seventh Edition
Step 3−Desk-Checking the Algorithm
• Desk-checking an algorithm verifies that it is correct
– Refers to checking an algorithm by hand, rather than
with a computer
– Also called hand-tracing
• Choose sample data and manually compute the expected
output value
• Creating a desk-check table can be helpful
21An Introduction to Programming with C++, Seventh Edition
Step 3−Desk-Checking the Algorithm
(cont’d.)
Figure 2-12 Manual tip calculation for the first desk-check
22An Introduction to Programming with C++, Seventh Edition
Step 3−Desk-Checking the Algorithm
(cont’d.)
Figure 2-13 Treyson Mobley solution and
partially completed desk-check table
23An Introduction to Programming with C++, Seventh Edition
Step 3−Desk-Checking the Algorithm
(cont’d.)
Figure 2-14 Input values entered in the desk-check table
Figure 2-15 Processing item’s value
entered in the desk-check table
Figure 2-16 Output value entered in the desk-check table
24An Introduction to Programming with C++, Seventh Edition
Step 3−Desk-Checking the Algorithm
(cont’d.)
Figure 2-17 Manual tip calculation for
the second desk-check
25An Introduction to Programming with C++, Seventh Edition
Figure 2-19 Value of the second desk-check’s
processing item entered in the desk-check table
Figure 2-20 Value of the second desk-check’s
output item entered in the desk-check table
Figure 2-18 Second set of input values
entered in the desk-check table
26An Introduction to Programming with C++, Seventh Edition
Step 3−Desk-Checking the Algorithm
(cont’d.)
• Valid data: data that the algorithm is expecting the user
to enter
• Invalid data: data that the algorithm is not expecting
the user to enter
• You should test an algorithm with invalid data
– Users may make mistakes when entering data
Step 3−Desk-Checking the Algorithm
(cont’d.)
27An Introduction to Programming with C++, Seventh Edition
The Gas Mileage Problem
Figure 2-21 Problem specification for the gas mileage problem
28An Introduction to Programming with C++, Seventh Edition
The Gas Mileage Problem (cont’d.)
• Plan the algorithm with an IPO chart
Figure 2-22 IPO chart for the gas mileage problem
29An Introduction to Programming with C++, Seventh Edition
• Then desk-check the algorithm
The Gas Mileage Problem (cont’d.)
Figure 2-23 Desk-check table for the gas mileage problem
30An Introduction to Programming with C++, Seventh Edition
• Problem solving typically involves analyzing the
problem and then planning, reviewing, implementing,
evaluating, and modifying (if necessary) the solution
• Programmers use tools (IPO charts, pseudocode,
flowcharts) to help them analyze problems and develop
algorithms
• The first step in problem solving is to analyze the
problem
– First determine the output and then the input
Summary
31An Introduction to Programming with C++, Seventh Edition
• The second step is to plan the algorithm
– Write the steps that will transform the input into the
output
– Most algorithms begin with entering input data, then
processing the data, then displaying the output
• The third step is to desk-check the algorithm
– Choose sample data and manually compute the expected
output
– Create a desk-check table to fill in values step by step
Summary (cont’d.)
32An Introduction to Programming with C++, Seventh Edition
• Aiden Nelinski is paid every Friday and will receive
either a 2.0% or 2.5% raise next week
• He wants a program that calculates and displays the
amount of his new weekly pay
Lab 2-1: Stop and Analyze
Figure 2-26 IPO chart for Lab 2-1
33An Introduction to Programming with C++, Seventh Edition
• Create an algorithm for the manager of the Lakeview
Hotel
Lab 2-2: Plan and Create
Figure 2-30 Completed IPO chart for Lab 2-2
34An Introduction to Programming with C++, Seventh Edition
• Each guest of the Lakeview Hotel pays an
entertainment tax, which is a percentage of the room
charge only
• Modify the IPO chart in Figure 2-30
• Desk-check the algorithm twice using the given values
Lab 2-3: Modify
35An Introduction to Programming with C++, Seventh Edition
• An algorithm is given to calculate and display an annual
property tax
• Desk-check the algorithm three times using the given
values
Lab 2-4: Desk-Check
Figure 2-36 IPO chart for Lab 2-4
36An Introduction to Programming with C++, Seventh Edition
• An algorithm is given to calculate and display the
average of three numbers but is incorrect
• Find and correct the errors in the algorithm
Lab 2-5: Debug
Figure 2-37 IPO chart for Lab 2-5
Figure 2-42 Corrected algorithm for Lab 2-5
37An Introduction to Programming with C++, Seventh Edition

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Chapter 02 - Problem Solving

  • 1. Introduction to Programming in C++ Seventh Edition Chapter 2: Beginning the Problem-Solving Process
  • 2. • Explain the problem-solving process used to create a computer program • Analyze a problem • Complete an IPO chart • Plan an algorithm using pseudocode and flowcharts • Desk-check an algorithm Chapter Objectives 2An Introduction to Programming with C++, Seventh Edition
  • 3. • People solve hundreds of simple problems every day without thinking about how they do it • Understanding the thought process involved can help in solving more complex problems • You can also use a similar process to design a computer solution to a problem (computer program) Problem Solving 3An Introduction to Programming with C++, Seventh Edition
  • 4. • First step in solving a problem: analyze it – Example: paying and mailing a bill • Next, you plan, review, implement, and evaluate the solution • After this, it may be necessary to modify the solution Solving Everyday Problems 4An Introduction to Programming with C++, Seventh Edition
  • 5. Solving Everyday Problems (cont’d.) Figure 2-1 Summary of the analysis and planning steps for the bill paying problem 5An Introduction to Programming with C++, Seventh Edition
  • 6. Solving Everyday Problems (cont’d.) Figure 2-2 Modified algorithm for the bill paying problem 6An Introduction to Programming with C++, Seventh Edition
  • 7. • A similar process to everyday problem solving is used to create computer programs • A computer program is a solution implemented on a computer • There are six steps to creating a computer solution to a problem Creating Computer Solutions to Problems 7An Introduction to Programming with C++, Seventh Edition
  • 8. Creating Computer Solutions to Problems (cont’d.) Figure 2-3 How to create a computer solution to a problem 8An Introduction to Programming with C++, Seventh Edition
  • 9. • It is essential to understand a problem before creating a solution to it • Analyze a problem to: – Determine the goal of solving it (Output) – Determine the items needed to achieve that goal (Input) • Always search first for the output Step 1−Analyzing the Problem 9An Introduction to Programming with C++, Seventh Edition
  • 10. Step 1−Analyzing the Problem (cont’d.) Figure 2-4 Problem specification for Treyson Mobley 10An Introduction to Programming with C++, Seventh Edition
  • 11. • Some programmers use an IPO chart to organize and summarize the results of a problem analysis – IPO: Input, processing, and output Step 1−Analyzing the Problem (cont’d.) Figure 2-5 Partially completed IPO chart showing the input and output items 11An Introduction to Programming with C++, Seventh Edition
  • 12. • Several readings of the problem may be necessary to fully understand the problem • Cross out irrelevant information in the problem description Hints for Analyzing Problems Figure 2-6 Problem specification with unimportant information crossed out 12An Introduction to Programming with C++, Seventh Edition
  • 13. • Some problem specifications contain incomplete information Hints for Analyzing Problems (cont’d.) Figure 2-7 Problem specification that does not contain enough information 13An Introduction to Programming with C++, Seventh Edition
  • 14. • Distinguish between information that is missing and information that is implied Hints for Analyzing Problems (cont’d.) Figure 2-8 Problem specification in which the input is not explicitly stated 14An Introduction to Programming with C++, Seventh Edition
  • 15. • Algorithm: set of instructions that will transform the problem’s input into its output – Record in the Processing column of the IPO chart – Can be written as pseudocode or a flowchart • Pseudocode: tool programmers use to help plan an algorithm – Short English statements – Not standardized – Not understandable by a computer Step 2−Planning the Algorithm 15An Introduction to Programming with C++, Seventh Edition
  • 16. Step 2−Planning the Algorithm (cont’d.) Figure 2-9 Problem specification and IPO chart for the Treyson Mobley problem 16An Introduction to Programming with C++, Seventh Edition
  • 17. • Flowcharts are also used to plan an algorithm – Use standardized symbols – Symbols connected with flowlines – Oval: start/stop symbol • Represents beginning and end of algorithm – Rectangle: process symbol • Represents tasks such as calculations – Parallelogram: input/output symbol • Represents I/O tasks Step 2−Planning the Algorithm (cont’d.) 17An Introduction to Programming with C++, Seventh Edition
  • 18. Figure 2-10 Figure 2-9’s algorithm in flowchart form 18An Introduction to Programming with C++, Seventh Edition Step 2−Planning the Algorithm (cont’d.)
  • 19. • A problem can have more than one solution Step 2−Planning the Algorithm (cont’d.) Figure 2-11 A different solution to the Treyson Mobley problem (pseudocode) 19An Introduction to Programming with C++, Seventh Edition
  • 20. • Processing item: an intermediate value (neither input nor output) the algorithm uses to transform input into output Step 2−Planning the Algorithm (cont’d.) Figure 2-11 A different solution to the Treyson Mobley problem (flowchart) 20An Introduction to Programming with C++, Seventh Edition
  • 21. Step 3−Desk-Checking the Algorithm • Desk-checking an algorithm verifies that it is correct – Refers to checking an algorithm by hand, rather than with a computer – Also called hand-tracing • Choose sample data and manually compute the expected output value • Creating a desk-check table can be helpful 21An Introduction to Programming with C++, Seventh Edition
  • 22. Step 3−Desk-Checking the Algorithm (cont’d.) Figure 2-12 Manual tip calculation for the first desk-check 22An Introduction to Programming with C++, Seventh Edition
  • 23. Step 3−Desk-Checking the Algorithm (cont’d.) Figure 2-13 Treyson Mobley solution and partially completed desk-check table 23An Introduction to Programming with C++, Seventh Edition
  • 24. Step 3−Desk-Checking the Algorithm (cont’d.) Figure 2-14 Input values entered in the desk-check table Figure 2-15 Processing item’s value entered in the desk-check table Figure 2-16 Output value entered in the desk-check table 24An Introduction to Programming with C++, Seventh Edition
  • 25. Step 3−Desk-Checking the Algorithm (cont’d.) Figure 2-17 Manual tip calculation for the second desk-check 25An Introduction to Programming with C++, Seventh Edition
  • 26. Figure 2-19 Value of the second desk-check’s processing item entered in the desk-check table Figure 2-20 Value of the second desk-check’s output item entered in the desk-check table Figure 2-18 Second set of input values entered in the desk-check table 26An Introduction to Programming with C++, Seventh Edition Step 3−Desk-Checking the Algorithm (cont’d.)
  • 27. • Valid data: data that the algorithm is expecting the user to enter • Invalid data: data that the algorithm is not expecting the user to enter • You should test an algorithm with invalid data – Users may make mistakes when entering data Step 3−Desk-Checking the Algorithm (cont’d.) 27An Introduction to Programming with C++, Seventh Edition
  • 28. The Gas Mileage Problem Figure 2-21 Problem specification for the gas mileage problem 28An Introduction to Programming with C++, Seventh Edition
  • 29. The Gas Mileage Problem (cont’d.) • Plan the algorithm with an IPO chart Figure 2-22 IPO chart for the gas mileage problem 29An Introduction to Programming with C++, Seventh Edition
  • 30. • Then desk-check the algorithm The Gas Mileage Problem (cont’d.) Figure 2-23 Desk-check table for the gas mileage problem 30An Introduction to Programming with C++, Seventh Edition
  • 31. • Problem solving typically involves analyzing the problem and then planning, reviewing, implementing, evaluating, and modifying (if necessary) the solution • Programmers use tools (IPO charts, pseudocode, flowcharts) to help them analyze problems and develop algorithms • The first step in problem solving is to analyze the problem – First determine the output and then the input Summary 31An Introduction to Programming with C++, Seventh Edition
  • 32. • The second step is to plan the algorithm – Write the steps that will transform the input into the output – Most algorithms begin with entering input data, then processing the data, then displaying the output • The third step is to desk-check the algorithm – Choose sample data and manually compute the expected output – Create a desk-check table to fill in values step by step Summary (cont’d.) 32An Introduction to Programming with C++, Seventh Edition
  • 33. • Aiden Nelinski is paid every Friday and will receive either a 2.0% or 2.5% raise next week • He wants a program that calculates and displays the amount of his new weekly pay Lab 2-1: Stop and Analyze Figure 2-26 IPO chart for Lab 2-1 33An Introduction to Programming with C++, Seventh Edition
  • 34. • Create an algorithm for the manager of the Lakeview Hotel Lab 2-2: Plan and Create Figure 2-30 Completed IPO chart for Lab 2-2 34An Introduction to Programming with C++, Seventh Edition
  • 35. • Each guest of the Lakeview Hotel pays an entertainment tax, which is a percentage of the room charge only • Modify the IPO chart in Figure 2-30 • Desk-check the algorithm twice using the given values Lab 2-3: Modify 35An Introduction to Programming with C++, Seventh Edition
  • 36. • An algorithm is given to calculate and display an annual property tax • Desk-check the algorithm three times using the given values Lab 2-4: Desk-Check Figure 2-36 IPO chart for Lab 2-4 36An Introduction to Programming with C++, Seventh Edition
  • 37. • An algorithm is given to calculate and display the average of three numbers but is incorrect • Find and correct the errors in the algorithm Lab 2-5: Debug Figure 2-37 IPO chart for Lab 2-5 Figure 2-42 Corrected algorithm for Lab 2-5 37An Introduction to Programming with C++, Seventh Edition