Polynomial Addition

PROBLEM :

Given two polynomial numbers represented by a linked list. The task is to complete the  function addPolynomial that adds these lists meaning adds the coefficients who have same variable powers.

Example:

Input:
     1st number = 5x^2 + 4x^1 + 2x^0
     2nd number = 5x^1 + 5x^0
Output:
        5x^2 + 9x^1 + 7x^0
Input:
     1st number = 5x^3 + 4x^2 + 2x^0
     2nd number = 5x^1 + 5x^0
Output:
        5x^3 + 4x^2 + 5x^1 + 7x^0

Input:
The first line of input contains an integer T denoting the no of test cases. Then in the next line is an integer N denoting the no of terms of first polynomial. In the next line are N space separated pairs x and y where x denotes the coefficient and y denotes the power. Similarly In the next line is an integer M denoting the no of terms of the second polynomial and in the line following it are N space separated pairs for second polynomial.

Output:
For each test case in a new line print the required polynomial in decreasing order of the power.

Constraints:
1<=T<=100
1<=N,M<=100
1<=x,y<=1000

Example:
Input:
2
1
1 2
1
1 3
2
1 3 2 2
2
3 3 4 2

Output:
1x^3 + 1x^2
4x^3 + 6x^2

--------------------------------------------------------------------------------
SIMPLE c++ IMPLEMENTATION :
--------------------------------------------------------------------------------

/* Structure of Node used
struct Node
{
    int coeff;  // coefficient of the polynomial
    int pow;   // power of the polynomial
    Node* next;
};
*/

/* The below method print the required sum of polynomial
p1 and p2 as specified in output  */


void addPolynomial(Node *p1, Node *p2)
{
    if(p1==NULL&&p2==NULL)
        return ;
       
    if(p2==NULL){
        while(p1!=NULL){
            cout<<p1->coeff<<"x^"<<p1->pow ;
            if(p1->next!=NULL)
                cout<<" + " ;
            p1=p1->next ;
        }  
    }
   
    if(p1==NULL){
        while(p2!=NULL){
            cout<<p2->coeff<<"x^"<<p2->pow ;
            if(p2->next!=NULL)
                cout<<" + " ;
            p2=p2->next ;
        }  
    }
   
    while(p1!=NULL&&p2!=NULL){
        if(p1->pow==p2->pow){
            cout<<p1->coeff+p2->coeff<<"x^"<<p1->pow ;
            if(p1->next!=NULL||p2->next!=NULL)
                cout<<" + " ;
            p1=p1->next ;
            p2=p2->next ;
        }
        else if(p1->pow>p2->pow){
            cout<<p1->coeff<<"x^"<<p1->pow ;
            if(p1->next!=NULL||p2!=NULL)
                cout<<" + " ;
            p1=p1->next ;
        }
        else{
            cout<<p2->coeff<<"x^"<<p2->pow ;
            if(p1->next!=NULL||p2!=NULL)
                cout<<" + " ;
            p2=p2->next ;
        }
    }
   
    while(p1!=NULL){
        cout<<p1->coeff<<"x^"<<p1->pow ;
        if(p1->next!=NULL)
            cout<<" + " ;
        p1=p1->next ;
    }
   
    while(p2!=NULL){
        cout<<p2->coeff<<"x^"<<p2->pow ;
        if(p2->next!=NULL)
            cout<<" + " ;
        p2=p2->next ;
    }
}

---------------------------------------------------------------------------------

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