Algorithm

Merging Two Polynomials Using Linked List:

1. Create two linked lists to represent the two polynomials.
2. Initialize a new linked list to store the result of the merged polynomial.
3. Traverse both linked lists simultaneously:
4. If the exponent of the current term in the first polynomial is greater than the exponent of the current term in the second polynomial, add the term from the first polynomial to the result and move to the next term in the first polynomial.
5. If the exponent of the current term in the second polynomial is greater than the exponent of the current term in the first polynomial, add the term from the second polynomial to the result and move to the next term in the second polynomial.
6. If the exponents of the current terms in both polynomials are equal, add their coefficients, create a new term with the sum of the coefficients and the common exponent, and add it to the result. Move to the next term in both polynomials.

Example:

Fig. 1: Example of Merging Two Polynomials

Note: Ensure that the linked lists are sorted in descending order of exponents before merging.