CSIT 2nd Sem DSA Assignment #1

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ONLINE PREVIEW:

STATEMENT:A PROGRAM TO FIND SUM AND AVERAGE VALUES OF ANY 20 NUMBERS USING ARRAY WITH FUNCTION.

ALGORITHM:

Step1	Start
Step2	Initialize sum as 0
Step3	Ask user to enter 20 different numbers
Step4	Call the integer function fxsum()
Step5	Display sum of numbers as ‘sum’ and their average as ‘sum/20’
Step6	Stop

Step1	Start of userdefined integer function fxsum()
Step2	Initialize b=0 and i=0
Step3	Is i<20?
YES	Goto Step4
NO	Goto Step8
Step4	Ask the value for a[i]
Step5	Increase the value of b by a[i]
Step6	Increase the value of i by 1
Step7	Goto Step3
Step8	Return the value of b to the calling function
Step9	Stop

SOURCE CODE:

#include <stdio.h>

#include <conio.h>

void main()

{

int fxsum();

int sum=0;

clrscr();

printf("Enter 20 diferent numbers:\n\n");

sum=fxsum();

printf("\nThe Sum of numbers is : %d \nand their average is: %f",sum,(float)sum/20);

getch();

}

int fxsum()

{

int a[20],i,b=0;

for(i=0;i<20;i++)

{

scanf("%d",&a[i]);

b=b+a[i];

}

return b;

}

OUTPUT SCREEN:

RESULT:

The result of this program is the sum total of 20 different integer numbers and their average as a floating point number.

CONCLUSION:
The sum of multiple numbers can be easily and conveniently found with the use of array.

STATEMENT:A PROGRAM TO FIND MULTIPLICATION OF ANY 3X3 MATRIX. 

ALGORITHM:

Step1	Start
Step2	Initialize x=4 and y=0 as global variables
Step3	Ask user to enter 3x3 matrix A
Step4	Call a userdefined function askmat with parameter a
Step5	Ask user to enter 3x3 matrix B
Step6	Call a userdefined function askmat with parameter b
Step7	Call a userdefined function mulmat with parameter a,b
Step8	Stop

Step1	Start of userdefined function askmat()
Step2	Increase the value of y by 4
Step3	Initialize i=0
Step4	Is i<3?
YES	Goto Step5
NO	Goto Step17
Step5	Initialize j=0
Step6	Is j<3?
YES	Goto Step7
NO	Goto Step12
Step7	Change cursor position to xth column and yth row on the screen
Step8	Ask user to enter the value of a[i][j]
Step9	Increase value of x by 2
Step10	Increase value of j by 1
Step11	Goto Step6
Step12	Change the cursor position to next line
Step13	Increase the value of y by 2
Step14	Reset the value of x=4
Step15	Increase the value of i by 1
Step16	Goto Step4`
Step17	Stop

Step1	Start of userdefined function mulmat()
Step2	Initialize the value of i=0
Step3	Is i<3?
YES	Goto Step4
NO	Goto Step12
Step4	Initialize the value of j=0
Step5	Is j<3?
YES	Goto Step6
NO	Goto Step9
Step6	Calculate c[i][j]=a[i][0]*b[0][j]+a[i][1]*b[1][j]+a[i][2]*b[2][j]
Step7	Increase the value of j by 1
Step8	Goto Step5
Step9	Change the cursor position to next line
Step10	Increase the value of i by 1
Step11	Goto Step3
Step12	Call the userdefined function showmat()
Step13	Stop

Step1	Start
Step2	Initialize the value of i=0
Step3	Is i<3?
YES	Goto Step4
NO	Goto Step12
Step4	Initialize the value of j=0
Step5	Is j<3?
YES	Goto Step6
NO	Goto Step9
Step6	Display c[i][j] and leave a tab space
Step7	Increase value of j by 1
Step8	Goto Step5
Step9	Change the cursor position to next line
Step10	Increase value of I by 1
Step11	Goto Step3
Step12	Stop

SOURCE CODE:

#include <stdio.h>

#include <conio.h>

int x=4,y=0;

void main()

{

int a[3][3],b[3][3],i,j;

void askmat(int a[][3]);

void mulmat(int a[][3],int b[][3]);

clrscr();

printf("\nEnter 3x3 matrix A:\n");

askmat(a);

printf("\nEnter 3x3 matrix B:\n");

askmat(b);

mulmat(a,b);

getch();

}

void askmat(int a[][3])

{

int i,j;

y=y+4;

for(i=0;i<3;i++)

{

for(j=0;j<3;j++)

{

gotoxy(x,y);

scanf("%d",&a[i][j]);

x=x+2;

}

printf("\n");

y=y+2;

x=4;

}

}

void mulmat(int a[][3],int b[][3])

{

int i,j,c[3][3];

void showmat(int a[][3]);

for(i=0;i<3;i++)

{

for(j=0;j<3;j++)

{

c[i][j]=a[i][0]*b[0][j]+a[i][1]*b[1][j]+a[i][2]*b[2][j];

}

printf("\n");

}

showmat(c);

}

void showmat(int a[][3])

{

int i,j;

printf("The product of 3x3 matrices is:\n");

for(i=0;i<3;i++)

{

for(j=0;j<3;j++)

{

printf("%d\t",a[i][j]);

}

printf("\n");

}

}

OUTPUT SCREEN:

RESULT:

The result of this program is the product of two 3x3 matrices found by computing two matrices.

CONCLUSION:

The product of any two 3x3 matrices can be found and represented easily in the form of two dimensional arrays.

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COMMENTS: