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#include <stdio.h>
#include <stdlib.h>
//creating a structure to define the datatype of the list 
struct node  
{
        int cof;
        int exp;
        struct node* next ;
}*new_node1,*head1,*temp1,*h1,*h2,*poly1,*poly2,*poly,*trav;



struct node* create()
{
    int i1,jcof1,jexp1,n1,hcof1,hexp1;
    head1=(struct node*)malloc(sizeof(struct node));
    if (head1==NULL)
    {
        printf("no memory ");
        exit(0);
    }
    printf("enter the cof for the first element of the polynomial:");
    scanf("%d",&hcof1);
    printf("enter the exponent for the first element of the polynomial:");
    scanf("%d",&hexp1);
    head1 -> cof = hcof1;
    head1 -> exp = hexp1;
    head1 -> next = NULL;
    temp1=head1;
    printf("enter the number of elements after the first element:");
    scanf("%d",&n1);
    for(i1=0;i1<n1;i1++)
    {
        new_node1=(struct node*)malloc(sizeof(struct node));
        if (new_node1==NULL)
        {
            printf("no memory");
            break;
        }
        printf("enter the coefficent of the %d element",i1+1);
        scanf("%d",&jcof1);
        printf("enter the exponent of the %d element",i1+1);
        scanf("%d",&jexp1);
        new_node1 -> cof = jcof1;
        new_node1 -> exp =jexp1;
        new_node1 -> next= NULL;
        temp1 -> next = new_node1;
        temp1 = new_node1;
        new_node1=NULL;
    }
    return head1;

    
}
struct node* print()
{
    printf("The elements of first polynomial:\n");
    poly1=h1;
    while(poly1!=NULL)
    {
        printf("%dX^%d \n",poly1->cof,poly1->exp);
        poly1=poly1->next;
    }
    printf("The elements of second polynomial:\n");
    poly2=h2;
    while(poly2!=NULL)
    {
        printf("%dX^%d \n",poly2->cof,poly2->exp);
        poly2=poly2->next;
    }
}
struct node* multiply()
{
    poly1=h1;
    poly2=h2;
    struct node* nh=(struct node*)malloc(sizeof(struct node));
    nh=NULL;
    while(poly1!=NULL)
    {
        poly2=h2;
        while(poly2!=NULL)
        {
            struct node* nn=(struct node*)malloc(sizeof(struct node));
            nn->cof=poly1->cof * poly2->cof;
            nn->exp=poly1->exp + poly2->exp;
            nn->next=NULL;
            if (nh==NULL)
            {
                nh=nn;
                poly=nh;
            }
            else
            {
                poly->next=nn;
                poly=poly->next;

            }
            poly2=poly2->next;
        }
        poly1=poly1->next;
    }
    return nh;
}
int main()
{
    h1=create();
    h2=create();
    print();
    printf("***********************************************\n");
    trav=multiply();
    while(trav!=NULL)
    {
        printf("%dx^%d+",trav->cof,trav->exp);
        trav=trav->next;
    }
    return 0;

}

// print 2x^2+3x^1+4x^0 * 3x^3+2x^0