Polynomial Addition
Submissions: 5798   Accuracy:

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  Difficulty: Medium   Marks: 4

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.

Input:
The first line of input contains an integer T denoting the number of test cases. Then in the next line is an integer N denoting the number 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 <= 105
1 <= x, y <= 106

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

Note:The Input/Ouput format and Example given are used for system's internal purpose, and should be used by a user for Expected Output only. As it is a function problem, hence a user should not read any input from stdin/console. The task is to complete the function specified, and not to write the full code.

** For More Input/Output Examples Use 'Expected Output' option **

Contributor: Harshit Sidhwa
Author: Shubham Joshi 1


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