**Addition of two polynomials using Linked Lists**

**Addition of two polynomials using Linked Lists**

Write a C++ program for Addition of two polynomials using Linked Lists. Here’s simple C++ program for Addition of two polynomials using Linked Lists in C++ Programming Language.

**What is Linked List ?**

**What is Linked List ?**

**Linked list** is a linear data structure that contains sequence of elements such that each element links to its next element in the sequence. Each link contains a connection to another link.

Following are the important terms to understand the concept of Linked List.

**Link**− Each link of a linked list can store a data called an element.**Next**− Each link of a linked list contains a link to the next link called Next.

Each element in a linked list is called as **“Node”**. Each node consists of its own data and the address of the next node and forms a chain. Linked Lists are used to create trees and graphs.

Below is the source code for C++ program for Addition of two polynomials using Linked Lists which is successfully compiled and run on Windows System to produce desired output as shown below :

**SOURCE CODE : :**

**SOURCE CODE : :**

/* C++ program for Addition of two polynomials using Linked Lists */ #include <iostream> using namespace std; class poly { private : struct polynode { float coeff ; int exp ; polynode *link ; } *p ; public : poly( ) ; void poly_append ( float c, int e ) ; void display_poly( ) ; void poly_add( poly &l1, poly &l2 ) ; ~poly( ) ; } ; poly :: poly( ) { p = NULL ; } void poly :: poly_append ( float c, int e ) { polynode *temp = p ; if ( temp == NULL ) { temp = new polynode ; p = temp ; } else { while ( temp -> link != NULL ) temp = temp -> link ; temp -> link = new polynode ; temp = temp -> link ; } temp -> coeff = c ; temp -> exp = e ; temp -> link = NULL ; } void poly :: display_poly( ) { polynode *temp = p ; int f = 0 ; cout << endl ; while ( temp != NULL ) { if ( f != 0 ) { if ( temp -> coeff > 0 ) cout << " + " ; else cout << " " ; } if ( temp -> exp != 0 ) cout << temp -> coeff << "x^" << temp -> exp ; else cout << temp -> coeff ; temp = temp -> link ; f = 1 ; } } void poly :: poly_add ( poly &l1, poly &l2 ) { polynode *z ; if ( l1.p == NULL && l2.p == NULL ) return ; polynode *temp1, *temp2 ; temp1 = l1.p ; temp2 = l2.p ; while ( temp1 != NULL && temp2 != NULL ) { if ( p == NULL ) { p = new polynode ; z = p ; } else { z -> link = new polynode ; z = z -> link ; } if ( temp1 -> exp < temp2 -> exp ) { z -> coeff = temp2 -> coeff ; z -> exp = temp2 -> exp ; temp2 = temp2 -> link ; } else { if ( temp1 -> exp > temp2 -> exp ) { z -> coeff = temp1 -> coeff ; z -> exp = temp1 -> exp ; temp1 = temp1 -> link ; } else { if ( temp1 -> exp == temp2 -> exp ) { z -> coeff = temp1 -> coeff + temp2 -> coeff ; z -> exp = temp1 -> exp ; temp1 = temp1 -> link ; temp2 = temp2 -> link ; } } } } while ( temp1 != NULL ) { if ( p == NULL ) { p = new polynode ; z = p ; } else { z -> link = new polynode ; z = z -> link ; } z -> coeff = temp1 -> coeff ; z -> exp = temp1 -> exp ; temp1 = temp1 -> link ; } while ( temp2 != NULL ) { if ( p == NULL ) { p = new polynode ; z = p ; } else { z -> link = new polynode ; z = z -> link ; } z -> coeff = temp2 -> coeff ; z -> exp = temp2 -> exp ; temp2 = temp2 -> link ; } z -> link = NULL ; } poly :: ~poly( ) { polynode *q ; while ( p != NULL ) { q = p -> link ; delete p ; p = q ; } } int main( ) { poly p1 ; p1.poly_append ( 1.4, 5 ) ; p1.poly_append ( 1.5, 4 ) ; p1.poly_append ( 1.7, 2 ) ; p1.poly_append ( 1.8, 1 ) ; p1.poly_append ( 1.9, 0 ) ; cout << "\nFirst polynomial:" ; p1.display_poly( ) ; poly p2 ; p2.poly_append ( 1.5, 6 ) ; p2.poly_append ( 2.5, 5 ) ; p2.poly_append ( -3.5, 4 ) ; p2.poly_append ( 4.5, 3 ) ; p2.poly_append ( 6.5, 1 ) ; cout << "\nSecond polynomial:" ; p2.display_poly( ) ; poly p3 ; p3.poly_add ( p1, p2 ) ; cout << "\nResultant polynomial: " ; p3.display_poly( ) ; return 0; }

*OUTPUT :*

*OUTPUT :*

/* C++ program for Addition of two polynomials using Linked Lists */ First polynomial: 1.4x^5 + 1.5x^4 + 1.7x^2 + 1.8x^1 + 1.9 Second polynomial: 1.5x^6 + 2.5x^5 -3.5x^4 + 4.5x^3 + 6.5x^1 Resultant polynomial: 1.5x^6 + 3.9x^5 -2x^4 + 4.5x^3 + 1.7x^2 + 8.3x^1 + 1.9

Above is the source code and output for C++ program for Addition of two polynomials using Linked Lists which is successfully compiled and run on Windows System to produce desired output.

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