Before we can run the PageRank algorithm, we need to modify the adjacency matrix, A, that you obtained in the previous page. The matrix must satisfy the transition matrix property, which states that the column sums are equal to 1. In your code snippet, write the function transition that takes as an argument the adjacency matrix A and returns the transition matrix M. Remember that early in the basketball season, many teams may have not yet played against each other. Or you may have a situation of a team that lost all the games against another given team. What can you do in a situation like this

Anew author is in the process of negotiating a contract for a new romance novel. the publisher is offering three options. in the first option, the author is paid $5,000 upon delivery of the final manuscript and $20,000 when the novel is published. in the second option, the author is paid 12.5% of the net price of the novel for each copy of the novel sold. in the third option, the author is paid 10% of the net price for the first 4,000 copies sold, and 14% of the net price for the copies sold over 4,000. the author has some idea about the number of copies that will be sold and would like to have an estimate of the royal- ties generated under each option. write a program that prompts the author to enter the net price of each copy of the novel and the estimated number of copies that will be sold. the program then outputs he royalties under each option and the best option the author could choose. (use appropriate named constants to store the special values such as royalty rates and fixed royalties.