Sparse Matrix

DEFINATION : Sparse Matrix is a matrix in which maximum number of elements are 0 (zero).

Sparse Matrix representation using 2D array:-

ROW COLUMN ELEMENTS

PROGRAM:

#include<iostream>

using namespace std;

int main()

{

int a[10][10],row,col,count=0,i,j,k=1;

int s[10][3];

cout<<"total number of row";

cout<<"total number of column";

cin>>row;

cin>>col;

cout<<"enter value";

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

{

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

{

cin>>a[i][j];

}

}

cout<<"matrix element\n";

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

{

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

{

cout<<a[i][j]<<" ";

}

cout<<"\n";

}

//count total number of nonzero elements

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

{

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

{

if(a[i][j]!=0)

{

count++;

}

}

}

cout<<count;

s[0][0]=row;

s[0][1]=col;

s[0][2]=count;

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

{

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

{

if(a[i][j]!=0)

{

s[k][0]=i;

s[k][1]=j;

s[k][2]=a[i][j];

k++;

}

}

}

cout<<"\n output array \n";

for(i=0;i<count+1;i++)

{

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

{

cout<<s[i][j]<<" ";

}

cout<<"\n";

}

}