Flowcharts • So let’s say we want to express the following algorithm to print out the sum of the biggest and smallest of three numbers
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Flowcharts
• So let’s say we want to express the following algorithm to print out the sum of the biggest and smallest of three numbers
START
START
Read in A, B and C
START
A>B?
Read in A, B and C
START
A>B?
Read in A, B and C
YesA>C?
START
A>B?No
Read in A, B and C
YesA>C? B>C?
START
A>B?No
Read in A, B and C
YesA>C? B>C?
Biggest = C
NoNo
START
A>B?No
Read in A, B and C
YesA>C? B>C?
Biggest = A Biggest = C
Yes
NoNo
START
A>B?No
Read in A, B and C
YesA>C? B>C?
Biggest = A Biggest = C Biggest = B
Yes Yes
NoNo
START
A>B?
No
Read in A, B and C
YesA>C? B>C?
Biggest = A Biggest = C Biggest = B
Yes Yes
No
No
A>B?
A>B?Yes
B<C?
A>B?Yes
B<C? A<C?No
A>B?
No
YesB<C? A<C?
No
No
A>B?
No
YesB<C? A<C?
Smallest = C
No
No
A>B?
No
YesB<C? A<C?
Smallest = A Smallest = C
Yes
No
No
A>B?
No
YesB<C? A<C?
Smallest = A Smallest = C Smallest = B
Yes Yes
No
No
A>B?
No
YesB<C? A<C?
Smallest = A Smallest = C Smallest = B
Yes Yes
No
No
A>B?
No
YesB<C? A<C?
Smallest = A Smallest = C Smallest = B
Yes Yes
No
No
Print Smallest + Biggest
A>B?
No
YesB<C? A<C?
Smallest = A Smallest = C Smallest = B
Yes Yes
No
No
Print Smallest + Biggest
END
Flowcharts
• So let’s say we want to express the following algorithm to print out the biggest of four numbers
START
START
Read in A, B, C and D
START
A>B?
Read in A, B, C and D
START
A>B?Yes
Read in A, B, C and D
X = A
START
A>B?NoYes
Read in A, B, C and D
X = A X = B
START
A>B?NoYes
Read in A, B, C and D
X = A X = B
START
A>B?NoYes
Read in A, B, C and D
X = A X = B
C>D?
START
A>B?NoYes
Read in A, B, C and D
X = A X = B
C>D?Yes
Y = C
START
A>B?NoYes
Read in A, B, C and D
X = A X = B
C>D?NoYes
Y = C Y = D
START
A>B?NoYes
Read in A, B, C and D
X = A X = B
C>D?NoYes
Y = C Y = D
START
A>B?NoYes
Read in A, B, C and D
X = A X = B
C>D?NoYes
Y = C Y = D
X>Y?
X>Y?Yes
Print X
X>Y?NoYes
Print X Print Y
X>Y?NoYes
Print X Print Y
X>Y?NoYes
Print X Print Y
END
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