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ALGORITHMS AND FLOWCHARTS

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Title: ALGORITHMS AND FLOWCHARTS


1
ALGORITHMS AND FLOWCHARTS
  • Summer Assignment
  • AP Computer Science
  • Wakefield High School

2
Assignment Summary
  • Read this ppt. thoroughly and complete the 5
    exercises at the end. Well share and discuss
    your solutions at the beginning of the new school
    year. Youll get credit for sharing.
  • http//courses.cs.vt.edu/csonline/Algorithms/Lesso
    ns/index.html
  • VA Tech developed the above interactive module
    lesson. You need to read thoroughly and play the
    games. It gives you a better understanding of how
    sorting algorithms are represented.

3
ALGORITHMS AND FLOWCHARTS
  • A typical programming task can be divided into
    two phases
  • Problem solving phase
  • produce an ordered sequence of steps that
    describe solution of problem
  • this sequence of steps is called an algorithm
  • Implementation phase
  • implement the program in some programming language

4
Steps in Problem Solving
  • First produce a general algorithm (one can use
    pseudocode)
  • Refine the algorithm successively to get step by
    step detailed algorithm that is very close to a
    computer language.
  • Pseudocode is an artificial and informal language
    that helps programmers develop algorithms.
    Pseudocode is very similar to everyday English.

5
Pseudocode Algorithm
  • Example 1 Write an algorithm to determine a
    students final grade and indicate whether it is
    passing or failing. The final grade is calculated
    as the average of four marks.

6
Pseudocode Algorithm
  • Pseudocode
  • Input a set of 4 marks
  • Calculate their average by summing and dividing
    by 4
  • if average is below 50
  • Print FAIL
  • else
  • Print PASS

7
Pseudocode Algorithm
  • Detailed Algorithm
  • Step 1 Input M1,M2,M3,M4
  • Step 2 GRADE ? (M1M2M3M4)/4
  • Step 3 if (GRADE lt 50) then
  • Print FAIL
  • else
  • Print PASS
  • endif

8
The Flowchart
  • (Dictionary) A schematic representation of a
    sequence of operations, as in a manufacturing
    process or computer program.
  • (Technical) A graphical representation of the
    sequence of operations in an information system
    or program. Information system flowcharts show
    how data flows from source documents through the
    computer to final distribution to users. Program
    flowcharts show the sequence of instructions in a
    single program or subroutine. Different symbols
    are used to draw each type of flowchart.

9
The Flowchart
  • A Flowchart
  • shows logic of an algorithm
  • emphasizes individual steps and their
    interconnections
  • e.g. control flow from one action to the next

10
Flowchart Symbols
Basic
11
Example
Step 1 Input Q1,Q2,Q3,Q4 Step 2 GRADE ?
(Q1Q2Q3Q4)/4 Step 3 if (GRADE lt50) then
Print FAIL else Print PASS end if
PRINT PASS
12
Example 2
  • Write an algorithm and draw a flowchart to
    convert the length in feet to centimeter.
  • Pseudocode
  • Input the length in feet (Lft)
  • Calculate the length in cm (Lcm) by multiplying
    LFT with 30
  • Print length in cm (LCM)

13
Example 2
Flowchart
  • Algorithm
  • Step 1 Input Lft
  • Step 2 Lcm ? Lft x 30
  • Step 3 Print Lcm

14
Example 3
  • Write an algorithm and draw a flowchart that
    will read the two sides of a rectangle and
    calculate its area.
  • Pseudocode
  • Input the width (W) and Length (L) of a rectangle
  • Calculate the area (A) by multiplying L with W
  • Print A

15
Example 3
  • Algorithm
  • Step 1 Input W,L
  • Step 2 A ? L x W
  • Step 3 Print A

16
Example 4
  • Write an algorithm and draw a flowchart that will
    calculate the roots of a quadratic equation
  • Hint d sqrt ( ), and the roots
    are x1 (b d)/2a and x2 (b d)/2a

17
Example 4
  • Pseudocode
  • Input the coefficients (a, b, c) of the quadratic
    equation
  • Calculate d
  • Calculate x1
  • Calculate x2
  • Print x1 and x2

18
Example 4
  • Algorithm
  • Step 1 Input a, b, c
  • Step 2 d ? sqrt ( )
  • Step 3 x1 ? (b d) / (2 x a)
  • Step 4 x2 ? (b d) / (2 x a)
  • Step 5 Print x1, x2

19
DECISION STRUCTURES
  • The expression AgtB is a logical expression
  • it describes a condition we want to test
  • if AgtB is true (if A is greater than B) we take
    the action on left
  • print the value of A
  • if AgtB is false (if A is not greater than B) we
    take the action on right
  • print the value of B

20
DECISION STRUCTURES
21
IFTHENELSE STRUCTURE
  • The structure is as follows
  • If condition then
  • true alternative
  • else
  • false alternative
  • endif

22
IFTHENELSE STRUCTURE
  • The algorithm for the flowchart is as follows
  • If AgtB then
  • print A
  • else
  • print B
  • endif

23
Relational Operators
Relational Operators Relational Operators
Operator Description
gt Greater than
lt Less than
Equal to
? Greater than or equal to
? Less than or equal to
! Not equal to
24
Example 5
  • Write an algorithm that reads two values,
    determines the largest value and prints the
    largest value with an identifying message.
  • ALGORITHM
  • Step 1 Input VALUE1, VALUE2
  • Step 2 if (VALUE1 gt VALUE2) then
  • MAX ? VALUE1
  • else
  • MAX ? VALUE2
  • endif
  • Step 3 Print The largest value is, MAX

25
Example 5
26
NESTED IFS
  • One of the alternatives within an IFTHENELSE
    statement
  • may involve further IFTHENELSE statement

27
Example 6
  • Write an algorithm that reads three numbers and
    prints the value of the largest number.

28
Example 6
  • Step 1 Input N1, N2, N3
  • Step 2 if (N1gtN2) then
  • if (N1gtN3) then
  • MAX ? N1 N1gtN2, N1gtN3
  • else
  • MAX ? N3 N3gtN1gtN2
  • endif
  • else
  • if (N2gtN3) then
  • MAX ? N2 N2gtN1, N2gtN3
  • else
  • MAX ? N3 N3gtN2gtN1
  • endif
  • endif
  • Step 3 Print The largest number is, MAX

29
Example 6
  • Flowchart Draw the flowchart of the above
    Algorithm.

30
Example 7
  • Write and algorithm and draw a flowchart to
  • read an employee name (NAME), overtime hours
    worked (OVERTIME), hours absent (ABSENT) and
  • determine the bonus payment (PAYMENT).

31
Example 7
Bonus Schedule Bonus Schedule
OVERTIME (2/3)ABSENT Bonus Paid
gt40 hours gt30 but ? 40 hours gt20 but ? 30 hours gt10 but ? 20 hours ? 10 hours 50 40 30 20 10
32
Step 1 Input NAME,OVERTIME,ABSENT Step 2 if
(OVERTIME(2/3)ABSENT gt 40) then
PAYMENT ? 50 else if (OVERTIME(2/3)ABSEN
T gt 30) then PAYMENT ? 40 else if
(OVERTIME(2/3)ABSENT gt 20) then
PAYMENT ? 30 else if (OVERTIME(2/3)ABSENT gt
10) then PAYMENT ?20 else
PAYMENT ? 10 endif Step 3 Print Bonus for,
NAME is , PAYMENT
33
Your Flow Charts
  1. Calculates greatest common factor (GCF) of two
    numbers.
  2. A man has to get a fox, a chicken, and a sack of
    corn across a river. He has a rowboat, and it
    can only carry him and one other thing. If the
    fox and the chicken are left together, the fox
    will eat the chicken. If the chicken and the corn
    is left together, the chicken will eat the corn.
    How does the man do it? Solve the problem and
    make a flow chart with solution.
  3. Change an engine oil algorithm.

34
Your Flow Charts
  • You want badly to take a friend out for a movie
    and dinner. And guess what? Your friend gladly
    accepted but you are broke. Now you have 36 hours
    (3 days) to get 100 and avoid embarrassment.
    Your sources are a last minute neighbors mow
    yard, parents, relatives, or else.
  • Watch The Big Bang Theory The Friendship
    Algorithm online.
  • Have fun and enjoy summer.
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