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Chapter: Problem Solving and Python Programming : Algorithmic Problem Solving

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Examples algorithms: pseudo code, flow chart, programming language

Algorithmic Problem Solving - Examples algorithms: pseudo code, flow chart, programming language


Write an algorithm to find area of a rectangle

 

Step 1: Start

Step 2: get l,b values

Step 3: Calculate A=l*b

Step 4: Display A

Step 5: Stop


BEGIN

READ l,b

CALCULATE A=l*b

DISPLAY A

END


Write an algorithm for Calculating area and circumference of circle


Step 1: Start

Step 2: get r value

Step 3: Calculate A=3.14*r*r

Step 4: Calculate C=2.3.14*r

Step 5: Display A,C

Step 6: Stop


BEGIN

READ r

CALCULATE A and C

A=3.14*r*r

C=2*3.14*r

DISPLAY A

END

 

Write an algorithm for Calculating simple interest


Step 1: Start

Step 2: get P, n, r value

Step3:Calculate

SI=(p*n*r)/100

Step 4: Display S

Step 5: Stop


BEGIN

READ P, n, r

CALCULATE S

SI=(p*n*r)/100

DISPLAY SI

END

 

Write an algorithm for Calculating engineering cutoff


Step 1: Start

Step2: get P,C,M value

Step3:calculate

Cutoff= (P/4+C/4+M/2)

Step 4: Display Cutoff

Step 5: Stop


BEGIN

READ P,C,M

CALCULATE

Cutoff= (P/4+C/4+M/2)

DISPLAY Cutoff

END

  

To check greatest of two numbers

 

Step 1: Start

Step 2: get a,b value

Step 3: check if(a>b) print a is greater

Step 4: else b is greater

Step 5: Stop

 

BEGIN

READ a,b

IF (a>b) THEN

DISPLAY a is greater

ELSE

DISPLAY b is greater

END IF

END

 

To check leap year or not

 

Step 1: Start

Step 2: get y

Step 3: if(y%4==0) print leap year

Step 4: else print not leap year

Step 5: Stop

 

BEGIN

READ y

IF (y%4==0) THEN

DISPLAY leap year

ELSE

DISPLAY not leap year

END IF

END 


To check positive or negative number

 

Step 1: Start

Step 2: get num

Step 3: check if(num>0) print a is positive

Step 4: else num is negative

Step 5: Stop

 

BEGIN

READ num

IF (num>0) THEN

DISPLAY num is positive

ELSE

DISPLAY num is negative

END IF

END

 

To check odd or even number

 

Step 1: Start

Step 2: get num

Step 3: check if(num%2==0) print num is even

Step 4: else num is odd

Step 5: Stop

 

BEGIN

READ num

IF (num%2==0) THEN

DISPLAY num is even

ELSE

DISPLAY num is odd

END IF

END

 

To check greatest of three numbers

 

Step1: Start

Step2: Get A, B, C

Step3: if(A>B) goto Step4 else goto step5

Step4: If(A>C) print A else print C

Step5: If(B>C) print B else print C

Step6: Stop

 

BEGIN

READ a, b, c

IF (a>b) THEN

IF(a>c) THEN

DISPLAY a is greater

ELSE

DISPLAY c is greater

END IF

ELSE

IF(b>c) THEN

DISPLAY b is greater

ELSE

DISPLAY c is greater

END IF

END IF

END

 

Write an algorithm to check whether given number is +ve, -ve or zero.

 

Step 1: Start

Step 2: Get n value.

Step 3: if (n ==0) print “Given number is Zero” Else goto step4

Step 4: if (n > 0) then Print “Given number is +ve”

Step 5: else Print “Given number is -ve”

Step 6: Stop

 

BEGIN

GET n

IF(n==0) THEN

           DISPLAY “ n is zero”

ELSE

           IF(n>0) THEN

            DISPLAY “n is positive”

ELSE

            DISPLAY “n is positive”

END IF

END IF

END

 

Write an algorithm to print all natural numbers up to n

 

Step 1: Start

Step 2: get n value.

Step 3: initialize i=1

Step 4: if (i<=n) go to step 5 else go to step 8

Step 5: Print i value

step 6 : increment i value by 1

Step 7: go to step 4

Step 8: Stop

 

BEGIN

GET n

INITIALIZE i=1

WHILE(i<=n) DO

PRINT i

i=i+1

ENDWHILE

END

 

Write an algorithm to print n odd numbers

 

Step 1: start

step 2: get n value

step 3: set initial value i=1

step 4: check if(i<=n) goto step 5 else goto step 8 

step 5: print i value

step 6: increment i value by 2

step 7: goto step 4

step 8: stop

 

BEGIN

GET n

INITIALIZE i=1

WHILE(i<=n) DO

           PRINT i

           i=i+2

ENDWHILE

END

 

Write an algorithm to print n even numbers

 

Step 1: start

step 2: get n value

step 3: set initial value i=2

step 4: check if(i<=n) goto step 5 else goto step8

step 5: print i value

step 6: increment i value by 2

step 7: goto step 4

step 8: stop

 

BEGIN

GET n

INITIALIZE i=2

WHILE(i<=n) DO

           PRINT i

           i=i+2

ENDWHILE

END

 

Write an algorithm to print squares of a number

 

Step 1: start

step 2: get n value

step 3: set initial value i=1

step 4: check i value if(i<=n) goto step 5 else goto step8

step 5: print i*i value

step 6: increment i value by 1

step 7: goto step 4

step 8: stop

 

BEGIN

GET n

INITIALIZE i=1

WHILE(i<=n) DO

           PRINT i*i

           i=i+2

ENDWHILE

END

 

Write an algorithm to print to print cubes of a number

Step 1: start

step 2: get n value

step 3: set initial value i=1

step 4: check i value if(i<=n) goto step 5 else goto step8

step 5: print i*i *i value

step 6: increment i value by 1

step 7: goto step 4

step 8: stop

 

BEGIN

GET n

INITIALIZE i=1

WHILE(i<=n) DO

           PRINT i*i*i

           i=i+2

ENDWHILE

END

 

Write an algorithm to find sum of a given number

 

Step 1: start

step 2: get n value

step 3: set initial value i=1, sum=0

Step 4: check i value if(i<=n) goto step 5 else goto step8

step 5: calculate sum=sum+i

step 6: increment i value by 1

step 7: goto step 4

step 8: print sum value

step 9: stop

 

BEGIN

GET n

INITIALIZE i=1,sum=0

WHILE(i<=n) DO

           sum=sum+i

           i=i+1

ENDWHILE

PRINT sum

END

 

Write an algorithm to find factorial of a given number

 

Step 1: start

step 2: get n value

step 3: set initial value i=1, fact=1

Step 4: check i value if(i<=n) goto step 5 else goto step8

step 5: calculate fact=fact*i

step 6: increment i value by 1

step 7: goto step 4

step 8: print fact value

step 9: stop

 

BEGIN

GET n

INITIALIZE i=1,fact=1

WHILE(i<=n) DO

           fact=fact*i

           i=i+1

ENDWHILE

PRINT fact

END


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