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#include <stdio.h>
#include <stdlib.h>

struct node{
    int coeff;
    int exp;
    struct node* next
};
struct node*insert(node*head , int coeff , int exp){
struct node * new term = (node*)malloc(sizeof(node));
new term -> coeff = coeff;
new term -> exp = exp;
new term -. next = NULL;
if (head == NULL)
{
    return new term ;
}
struct node * curr=head;
while (curr->next!=NULL)
{
    curr = curr->next;
}
curr->next = new term;
return head; 
}
struct node * multipoly(node* poly1 , node* poly2)
{
    node * result = NULL;
    for (node* term1= poly1 ; term1! = NULL ; term1 = term1->next)
    {
        for (node* term2=poly2 ; term2! = NULL = ; term2 = term2->next){
            int coeff = term1->coeff * term2->coeff;
            int exp= term1->exp+term2->exp;
            result = insert(result , coeff , exp);
        }
    }
    return result ; 
}
void display(node*poly)
{
    struct node curr = poly;
    while (curr!= NULL){
        printf("(%d)x^%d", curr ->coeff , curr->exp);
        curr= curr->next;
        if (curr!= NULL)
        {
            printf("+");
        }
    }
}
int main ()
{
    struct node * poly1= NULL;
    struct node * poly2= NULL;

    poly1 = insert(poly1,4,3);
    poly1 = insert(poly1,7,1);
    poly1 = insert(poly1,5,0);

     poly2= insert(poly2,5,3);
     poly2= insert(poly2,3,2);
     poly2= insert(poly2,1,0);
      
    display(poly1);
    display(poly2);

    struct node * result = multipoly(poly1,poly2);

    display(result);
    return 0;
}