control statement selection

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Control Statement - Selection

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Page 1: Control Statement Selection

Control Statement - Selection

Page 2: Control Statement Selection

if Statements

ifif

if - elseif - else

if – else - ifif – else - if

Page 3: Control Statement Selection

if Statement

Syntax:if (expression)if (expression)

statement;statement;or

if (expression) {if (expression) {statement1;statement1;statement2;statement2;

}}

Syntax:if (expression)if (expression)

statement;statement;or

if (expression) {if (expression) {statement1;statement1;statement2;statement2;

}}

Don’t forget the curly Don’t forget the curly brackets, if there are more brackets, if there are more

than ONE statementsthan ONE statements

Don’t forget the Don’t forget the brackets !!brackets !!

Page 4: Control Statement Selection

if Statement

Pseudo Code:if <condition is true> start

step 1

step 2

step k

end_if

Pseudo Code:if <condition is true> start

step 1

step 2

step k

end_if

if Statement:

if (<condition>) {

statement 1

statement 2

…statement k

}

if Statement:

if (<condition>) {

statement 1

statement 2

…statement k

}

Page 5: Control Statement Selection

if Statement

Example:int num1, num2, min;printf(“Key-in 2 numbers: “);scanf(“%d%d”, &num1, &num2);min = num1;if (num1 > num2)

min = num2;printf(“Smallest: %d\n”, min);

Example:int num1, num2, min;printf(“Key-in 2 numbers: “);scanf(“%d%d”, &num1, &num2);min = num1;if (num1 > num2)

min = num2;printf(“Smallest: %d\n”, min);

Key-in 2 numbers: _

num2 ?

num1 ?

min ?

Key-in 2 numbers: 20 15

_

20

15

2015

Key-in 2 numbers: 20 15

Smallest: 15

_

20 > 15?20 > 15?

Page 6: Control Statement Selection

if Statement

Example:void main() {

int mark;

printf(“Mark: “);

scanf(“%d”, &mark);

if (mark >= 50)

printf(“Pass\n”);

printf(“Your mark is %d”, mark);}

Example:void main() {

int mark;

printf(“Mark: “);

scanf(“%d”, &mark);

if (mark >= 50)

printf(“Pass\n”);

printf(“Your mark is %d”, mark);}

What will the output What will the output be if the mark is 65?be if the mark is 65?

Page 7: Control Statement Selection

if Statement

Example:void main() {

int mark;

printf(“Mark: “);

scanf(“%d”, &mark);

if (mark >= 50)

printf(“Pass\n”);printf(“Your mark is %d”, mark);

}

Example:void main() {

int mark;

printf(“Mark: “);

scanf(“%d”, &mark);

if (mark >= 50)

printf(“Pass\n”);printf(“Your mark is %d”, mark);

}

What will the output What will the output be if the mark is 35?be if the mark is 35?

Page 8: Control Statement Selection

if - else Statement

Syntax:if (expression)if (expression)

statement1;statement1;elseelse

statement2;statement2;or

if (expression) {if (expression) {statement1;statement1;statement2;statement2;

} else} elsestatement3;statement3;

Syntax:if (expression)if (expression)

statement1;statement1;elseelse

statement2;statement2;or

if (expression) {if (expression) {statement1;statement1;statement2;statement2;

} else} elsestatement3;statement3;

Page 9: Control Statement Selection

if - else Statement

orif (expression) {if (expression) {

statement1;statement1;statement2;statement2;

} else {} else {statement3;statement3;statement4;statement4;

}}

orif (expression) {if (expression) {

statement1;statement1;statement2;statement2;

} else {} else {statement3;statement3;statement4;statement4;

}}

Page 10: Control Statement Selection

if - else Statement

Example:if (num1 < num2)

min = num1;

else

min = num2;

printf(“Smallest: %d\n”, min);

Example:if (num1 < num2)

min = num1;

else

min = num2;

printf(“Smallest: %d\n”, min);

num2 15

num1 10

min ?

10 < 15?10 < 15?

_

10

Smallest: 10

_

Page 11: Control Statement Selection

if - else Statement

Example:if (num1 < num2)

min = num1;

else

min = num2;

printf(“Smallest: %d\n”, min);

Example:if (num1 < num2)

min = num1;

else

min = num2;

printf(“Smallest: %d\n”, min);

num2 15

num1 20

min ?

20 < 15?20 < 15?

_

15

Smallest: 15

_

Page 12: Control Statement Selection

if - else Statement

Example:if (num1 < num2) {

min = num1;max = num2;

}else {

min = num2;max = num1;

}printf(“Min = %d, Max = %d\n”, min, max);

Example:if (num1 < num2) {

min = num1;max = num2;

}else {

min = num2;max = num1;

}printf(“Min = %d, Max = %d\n”, min, max);

num2 125

num1 700

min ??

700 < 125?700 < 125?

_

max ??

Min = 125, Max = 700

_

125

700

Page 13: Control Statement Selection

if – else Statement

Example:void main() {

int mark;

printf(“Mark: “);scanf(“%d”, &mark);if (mark >= 50)

printf(“Pass\n”);else

printf(“Fail\n”);printf(“Your mark is %d”, mark);

}

Example:void main() {

int mark;

printf(“Mark: “);scanf(“%d”, &mark);if (mark >= 50)

printf(“Pass\n”);else

printf(“Fail\n”);printf(“Your mark is %d”, mark);

}

What will the output What will the output be if the mark is 21?be if the mark is 21?

What will the output What will the output be if the mark is 74?be if the mark is 74?

Page 14: Control Statement Selection

if – else Statement

Example:void main() {

int mark;

printf(“Mark: “);scanf(“%d”, &mark);if (mark >= 50)

printf(“Pass\n”);else

printf(“Fail\n”);printf(“Your mark is %d”, mark);

}

Example:void main() {

int mark;

printf(“Mark: “);scanf(“%d”, &mark);if (mark >= 50)

printf(“Pass\n”);else

printf(“Fail\n”);printf(“Your mark is %d”, mark);

}

What will the output What will the output be if the mark is 74?be if the mark is 74?

What will the output What will the output be if the mark is 14?be if the mark is 14?

Page 15: Control Statement Selection

if – else Statement

Example:void main() {

int mark;printf(“Mark: “);scanf(“%d”, &mark);if (mark >= 50)

printf(“Pass\n”);else {

printf(“Fail\n”);printf(“Your mark is %d”, mark);

}}

Example:void main() {

int mark;printf(“Mark: “);scanf(“%d”, &mark);if (mark >= 50)

printf(“Pass\n”);else {

printf(“Fail\n”);printf(“Your mark is %d”, mark);

}}

What will the output What will the output be if the mark is 14?be if the mark is 14?

What will the output What will the output be if the mark is 70?be if the mark is 70?

Page 16: Control Statement Selection

Take a break … (Learn styles)

Example:void main() {

int mark;printf(“Mark: “);scanf(“%d”, &mark);if (mark >= 50)

printf(“Pass\n”);

else printf(“Fail\n”);

printf(“Your mark is %d”, mark);}

Example:void main() {

int mark;printf(“Mark: “);scanf(“%d”, &mark);if (mark >= 50)

printf(“Pass\n”);

else printf(“Fail\n”);

printf(“Your mark is %d”, mark);}

Page 17: Control Statement Selection

Take a break … (Learn styles)

Example:void main() {

int mark;printf(“Mark: “);scanf(“%d”, &mark);if (mark >= 50)printf(“Pass\n”);

else printf(“Fail\n”);

printf(“Your mark is %d”, mark);}

Example:void main() {

int mark;printf(“Mark: “);scanf(“%d”, &mark);if (mark >= 50)printf(“Pass\n”);

else printf(“Fail\n”);

printf(“Your mark is %d”, mark);}

Difficult to read!!!Difficult to read!!!Don’t you think Don’t you think so??so??

Page 18: Control Statement Selection

Syntax:if (expression)if (expression)

statement;statement;

Syntax:if (expression)if (expression)

statement;statement;

if statementif statement

Let’s recap …

Syntax:if (expression)if (expression)

statement;statement;else else

statement;statement;

Syntax:if (expression)if (expression)

statement;statement;else else

statement;statement;

if-else statementif-else statement

Ok now, let’s look at Ok now, let’s look at if – else –ifif – else –if statement statement

Page 19: Control Statement Selection

if – else - if Statement

Syntax:if (expression)if (expression)

statement;statement;else if (expression)else if (expression)

statement;statement;

Syntax:if (expression)if (expression)

statement;statement;else if (expression)else if (expression)

statement;statement;

if-else-if statementif-else-if statementSyntax:

if (expression)if (expression)statement;statement;

else if (expression)else if (expression)statement;statement;

else if (expression)else if (expression)statement;statement;

elseelsestatement;statement;

Syntax:if (expression)if (expression)

statement;statement;else if (expression)else if (expression)

statement;statement;else if (expression)else if (expression)

statement;statement;elseelse

statement;statement;

if-else-if statementif-else-if statement

Page 20: Control Statement Selection

if – else - if Statement

Syntax:if (expression)if (expression)

statement;statement;else if (expression)else if (expression)

statement;statement;else if (expression)else if (expression)

statement;statement;else else (expression)(expression)

statement;statement;

Syntax:if (expression)if (expression)

statement;statement;else if (expression)else if (expression)

statement;statement;else if (expression)else if (expression)

statement;statement;else else (expression)(expression)

statement;statement;

if-else-if statementif-else-if statement

Be careful…common Be careful…common mistake made by mistake made by

students !!students !!

Page 21: Control Statement Selection

Let’s recap …

Example:if <condition_1 is true> start

step m…

end_ifif <condition_2 is true> start

step n…

end_ifelse start

step x…

end_else

Example:if <condition_1 is true> start

step m…

end_ifif <condition_2 is true> start

step n…

end_ifelse start

step x…

end_else

Multiple SelectionMultiple Selection

Assume condition 1 is Assume condition 1 is true, so …true, so …

step m, step …. will be step m, step …. will be executedexecuted

Page 22: Control Statement Selection

Let’s recap …

Example:if <condition_1 is true> start

step m…

end_ifif <condition_2 is true> start

step n…

end_ifelse start

step x…

end_else

Example:if <condition_1 is true> start

step m…

end_ifif <condition_2 is true> start

step n…

end_ifelse start

step x…

end_else

Multiple SelectionMultiple Selection

Assume condition 1 is Assume condition 1 is false, so …false, so …

• step m, step …. will be step m, step …. will be skipped, and skipped, and

• condition 2 will be testedcondition 2 will be tested

Page 23: Control Statement Selection

Let’s recap …

Example:if <condition_1 is true> start

step m…

end_ifif <condition_2 is true> start

step n…

end_ifelse start

step x…

end_else

Example:if <condition_1 is true> start

step m…

end_ifif <condition_2 is true> start

step n…

end_ifelse start

step x…

end_else

Multiple SelectionMultiple Selection

Assume condition 2 is Assume condition 2 is true, so …true, so …

step n, step …. will be step n, step …. will be executedexecuted

Page 24: Control Statement Selection

Let’s recap …

Example:if <condition_1 is true> start

step m…

end_ifif <condition_2 is true> start

step n…

end_ifelse start

step x…

end_else

Example:if <condition_1 is true> start

step m…

end_ifif <condition_2 is true> start

step n…

end_ifelse start

step x…

end_else

Multiple SelectionMultiple Selection

Assume condition 2 is also Assume condition 2 is also false, so …false, so …

• step n, step …. will be step n, step …. will be skipped, and skipped, and

• step x will be executedstep x will be executed

Page 25: Control Statement Selection

Multiple Selection in C

Example:#include <stdio.h>int main( ) {

char letter;

scanf(“%c”, &letter);if (letter >= ‘a’ && letter <= ‘z’ )

printf(“Lower case\n”);else if (letter >= ‘A’ && letter <= ‘Z’)

printf(“Upper case\n”);else if (letter >= ‘0’ && letter <= ‘9’)

printf(“Digit\n”);else

printf(“Special character\n”);}

Example:#include <stdio.h>int main( ) {

char letter;

scanf(“%c”, &letter);if (letter >= ‘a’ && letter <= ‘z’ )

printf(“Lower case\n”);else if (letter >= ‘A’ && letter <= ‘Z’)

printf(“Upper case\n”);else if (letter >= ‘0’ && letter <= ‘9’)

printf(“Digit\n”);else

printf(“Special character\n”);}

Is the letter a lower case? Is the letter a lower case?

Is the letter an upper case? Is the letter an upper case?

Is the letter a digit? Is the letter a digit?

Page 26: Control Statement Selection

Multiple Selection in C

Example:#include <stdio.h>int main( ) {

char letter;

scanf(“%c”, &letter);if (letter >= ‘a’ && letter <= ‘z’ )

printf(“Lower case\n”);else if (letter >= ‘A’ && letter <= ‘Z’)

printf(“Upper case\n”);else if (letter >= ‘0’ && letter <= ‘9’)

printf(“Digit\n”);else

printf(“Special character\n”);}

Example:#include <stdio.h>int main( ) {

char letter;

scanf(“%c”, &letter);if (letter >= ‘a’ && letter <= ‘z’ )

printf(“Lower case\n”);else if (letter >= ‘A’ && letter <= ‘Z’)

printf(“Upper case\n”);else if (letter >= ‘0’ && letter <= ‘9’)

printf(“Digit\n”);else

printf(“Special character\n”);}

(the letter is a lower case) (the letter is a lower case) truetrue

(the letter is a lower case) (the letter is a lower case) falsefalse(the letter is an upper case) (the letter is an upper case) truetrue(the letter is a lower case) (the letter is a lower case) falsefalse

(the letter is an upper case) (the letter is an upper case) falsefalse(the letter is a digit) (the letter is a digit) truetrue

(the letter is a lower case) (the letter is a lower case) falsefalse(the letter is an upper case) (the letter is an upper case) falsefalse

(the letter is a digit) (the letter is a digit) falsefalse

Page 27: Control Statement Selection

ExerciseDevelop a program for the following problem.

Given a mark, determine its grade based on the table below:

75 < mark < 100 grade = A65 < mark < 74 grade = B55 < mark < 64 grade = C40 < mark < 54 grade = D 0 < mark < 39 grade = F others error message

Page 28: Control Statement Selection

Pseudo CodeStartInput student’s markIf student’s mark is greater than or equal to 75

Print “Grade = A”else If student’s mark is greater than or equal to 65 and lower than 75

Print “Grade = B”else If student’s mark is greater than or equal to 55 and lower than 65

Print “Grade = C”else If student’s mark is greater than or equal to 40 and lower than 55

Print “Grade = D”else If student’s mark is greater than or equal to 0 and lower than 40

Print “Grade = F”else

Print “Input error”End

Page 29: Control Statement Selection

Answer1

int mark;printf(“Key-in the mark: “);scanf(“%d”,&mark);if ((mark >= 75) && (mark <= 100))

printf("Grade = A”);else if ((mark >= 65) && (mark <= 74))

printf(" Grade = B”); else if ((mark >= 55) && (mark <= 64))

printf(" Grade = C”);else if ((mark >= 40) && (mark <= 54))

printf(" Grade = D”);else if ((mark >= 0) && (mark <= 39))

printf(" Grade = E”);else

printf(“Input error\n”);

Page 30: Control Statement Selection

Answer2

int mark;char grade ;printf(“Key-in the mark : “);scanf(“%d”,&mark);if ((mark >= 75) && (mark <= 100))

grade =‘A’;else if ((mark >= 65) && (mark <= 74))

grade =‘B’; else if ((mark >= 55) && (mark <= 64))

grade =‘C’;else if ((mark >= 40) && (mark <= 54))

grade =‘D’;else if ((mark >= 0) && (mark <= 39))

grade =‘E’;else

printf(“Input error\n”);printf(“Your grade is %c”, grade );

Page 31: Control Statement Selection

Answer3

int mark;char grade;printf(“Key-in the mark: “);scanf(“%d”,&mark);if ((mark >= 75) && (mark <= 100))

grade=‘A’;else if ((mark >= 65) && (mark <= 74))

grade=‘B’; else if ((mark >= 55) && (mark <= 64))

grade=‘C’;else if ((mark >= 40) && (mark <= 54))

grade=‘D’;else if ((mark >= 0) && (mark <= 39))

grade=‘E’;if ((mark > 100) || (mark < 0))

printf(“Input error\n”);else

printf(“Your grade is %c”, grade);

Page 32: Control Statement Selection

Nested ifs

ifif statement that contains other ifif / if - elseif - else statements

Page 33: Control Statement Selection

Nested ifs

Example:if (age > 18) {

if (age > 55) price = 2.50; /* Price for senior citizens

*/else

price = 5.00; /* Price for adults */}else {

if (age < 1)price = 0.0; /* Price for infants */

elseprice = 1.50; /* for children &

teenagers*/}

Example:if (age > 18) {

if (age > 55) price = 2.50; /* Price for senior citizens

*/else

price = 5.00; /* Price for adults */}else {

if (age < 1)price = 0.0; /* Price for infants */

elseprice = 1.50; /* for children &

teenagers*/}

This price is valid for This price is valid for people: age > 55people: age > 55

This price is valid for This price is valid for people: 18 < age < 55people: 18 < age < 55

This price is valid for This price is valid for people: age < 1people: age < 1

This price is valid for This price is valid for people: 1 < age < 18people: 1 < age < 18

Page 34: Control Statement Selection

Nested ifs - Problem

Example:if (age > 18)

if (age > 55) price = 2.50; /* Price for senior citizens */

elseprice = 5.00; /* Price for adults */

Example:if (age > 18)

if (age > 55) price = 2.50; /* Price for senior citizens */

elseprice = 5.00; /* Price for adults */

Which Which ifif does this does this elseelse belong to? belong to?

Page 35: Control Statement Selection

Nested ifs - ProblemTry to understand the consequences….

if (age > 18) {

if (age > 55)

price = 2.50;

else

price = 5.00;

}

if (age > 18) {

if (age > 55)

price = 2.50;

else

price = 5.00;

}

if (age > 18) {

if (age > 55)

price = 2.50;

}

else

price = 5.00;

if (age > 18) {

if (age > 55)

price = 2.50;

}

else

price = 5.00;

Page 36: Control Statement Selection

Nested ifs - Problem

By default, elseelse will be attached to the nearest ifif

if (age > 18)

if (age > 55)

price = 2.50;

else

price = 5.00;

if (age > 18)

if (age > 55)

price = 2.50;

else

price = 5.00;

if (age > 18) {

if (age > 55)

price = 2.50;

else

price = 5.00;

}

if (age > 18) {

if (age > 55)

price = 2.50;

else

price = 5.00;

}

Page 37: Control Statement Selection

switch and break

Syntax:switch (expression) {switch (expression) {

case expression1:case expression1:statement1;statement1;break;break;

case expression2:case expression2:statement2;statement2;break;break;

……default:default:

expressionX;expressionX;break;break;

}}

Syntax:switch (expression) {switch (expression) {

case expression1:case expression1:statement1;statement1;break;break;

case expression2:case expression2:statement2;statement2;break;break;

……default:default:

expressionX;expressionX;break;break;

}}

Syntax:switchswitch (expression) { (expression) {

casecase expression1: expression1:statement1;statement1;break;break;

casecase expression2: expression2:statement2;statement2;break;break;

……defaultdefault::

expressionX;expressionX;break;break;

}}

Syntax:switchswitch (expression) { (expression) {

casecase expression1: expression1:statement1;statement1;break;break;

casecase expression2: expression2:statement2;statement2;break;break;

……defaultdefault::

expressionX;expressionX;break;break;

}}

Don’t forget the Don’t forget the brackets !!brackets !!

Don’t forget the Don’t forget the curly brackets !!curly brackets !!

Don’t forget the Don’t forget the colons !!colons !!

Page 38: Control Statement Selection

switchswitch and and breakbreak Important Rule !!

Syntax:switchswitch (expression) { (expression) {

casecase expression1: expression1:statement1;statement1;break;break;

casecase expression2: expression2:statement2;statement2;break;break;

……defaultdefault::

expressionX;expressionX;break;break;

}}

Syntax:switchswitch (expression) { (expression) {

casecase expression1: expression1:statement1;statement1;break;break;

casecase expression2: expression2:statement2;statement2;break;break;

……defaultdefault::

expressionX;expressionX;break;break;

}}

Must be Must be INTEGER or INTEGER or

CHAR !CHAR !

Page 39: Control Statement Selection

switch and break

Example: switch (month) {case 1:

printf(“January\n”);break;

case 2:printf(“February\n”);break;

case 3:printf(“March\n”);break;

default:printf(“Others\n”);break;

} printf(“End”);

Example: switch (month) {case 1:

printf(“January\n”);break;

case 2:printf(“February\n”);break;

case 3:printf(“March\n”);break;

default:printf(“Others\n”);break;

} printf(“End”);

Assume month = 1, Assume month = 1, so …so …

……this step will be this step will be executed. Later …executed. Later ………casecase is terminated is terminated here. Jump to …here. Jump to …

January

_

January

End _

Page 40: Control Statement Selection

switch and break

Example: switch (month) {case 1:

printf(“January\n”);break;

case 2:printf(“February\n”);break;

case 3:printf(“March\n”);break;

default:printf(“Others\n”);break;

} printf(“End”);

Example: switch (month) {case 1:

printf(“January\n”);break;

case 2:printf(“February\n”);break;

case 3:printf(“March\n”);break;

default:printf(“Others\n”);break;

} printf(“End”);

……this step will be this step will be executed. Later …executed. Later …

March

_

March

End _

Assume month = 3, Assume month = 3, so …so …

……casecase is terminated is terminated here. Jump to …here. Jump to …

Page 41: Control Statement Selection

switch and break

Example: switch (month) {case 1:

printf(“January\n”);break;

case 2:printf(“February\n”);break;

case 3:printf(“March\n”);break;

default:printf(“Others\n”);break;

}printf(“End”);

Example: switch (month) {case 1:

printf(“January\n”);break;

case 2:printf(“February\n”);break;

case 3:printf(“March\n”);break;

default:printf(“Others\n”);break;

}printf(“End”);

Now…what will Now…what will happen if this happen if this breakbreak is taken out from the is taken out from the

program?program?

Example: switch (month) {case 1:

printf(“January\n”);break;

case 2:printf(“February\n”);

case 3:printf(“March\n”);break;

default:printf(“Others\n”);break;

} printf(“End”);

Example: switch (month) {case 1:

printf(“January\n”);break;

case 2:printf(“February\n”);

case 3:printf(“March\n”);break;

default:printf(“Others\n”);break;

} printf(“End”);

No more !!No more !!

Page 42: Control Statement Selection

switch and break

Example: switch (month) {case 1:

printf(“January\n”);break;

case 2:printf(“February\n”);

case 3:printf(“March\n”);break;

default:printf(“Others\n”);break;

} printf(“End”);

Example: switch (month) {case 1:

printf(“January\n”);break;

case 2:printf(“February\n”);

case 3:printf(“March\n”);break;

default:printf(“Others\n”);break;

} printf(“End”);

……this step will be this step will be executed. Later …executed. Later …

February

_

February

March

_

Assume month = 2, Assume month = 2, so …so …

……casecase is terminated is terminated here. Jump to …here. Jump to …

February

March

End _

……execution continues. Thus, execution continues. Thus, this step is executed . So …this step is executed . So …

Page 43: Control Statement Selection

switch and break

Example: switch (month) {case 1:

printf(“January\n”);break;

case 2:printf(“February\n”);

case 3:printf(“March\n”);break;

default:printf(“Others\n”);break;

} printf(“End”);

Example: switch (month) {case 1:

printf(“January\n”);break;

case 2:printf(“February\n”);

case 3:printf(“March\n”);break;

default:printf(“Others\n”);break;

} printf(“End”);

Now…what will Now…what will happen if these happen if these

breakbreaks are taken out s are taken out from the program?from the program?

And … And … if month = 1 ?if month = 1 ?And … And … if month = 34 ?if month = 34 ?

Page 44: Control Statement Selection

switch and break

Example: char jantina;printf (“Masukkan Jantina Anda: (L/P)\n”);scanf (“%c”,&jantina);

switch (jantina) {case ‘P’:

printf(“\nJantina adalah PEREMPUAN\n”);

break;case ‘L’:

printf(“\nJantina adalah LELAKI”);break;

default:printf(“\nTIDAK DAPAT DIPASTIKAN!”);break;

}

Example: char jantina;printf (“Masukkan Jantina Anda: (L/P)\n”);scanf (“%c”,&jantina);

switch (jantina) {case ‘P’:

printf(“\nJantina adalah PEREMPUAN\n”);

break;case ‘L’:

printf(“\nJantina adalah LELAKI”);break;

default:printf(“\nTIDAK DAPAT DIPASTIKAN!”);break;

}

Masukkan Jantina Anda: (L/P)

L

Masukkan Jantina Anda: (L/P)

L

Jantina adalah LELAKI

jantina ?L

Page 45: Control Statement Selection

End of Lecture

Review Questions