Write a program to compute word ladders where single-character substitutions have a cost of 1,…

Write a program to compute word ladders where single-character substitutions have a cost of 1, and single-character additions or deletions have a cost of p > 0, specified by the user. As mentioned at the end of Section, this is essentially a weighted shortest-path problem. Explain how each of the following problems can be solved by applying a shortest-path algorithm. Then design a mechanism for representing an input, and write a program that solves the problem. 9.50 The input is a list of league game scores (and there are no ties). If all teams have at least one win and a loss, we can generally “prove,” by a silly transitivity argument, that any team is better than any other. For instance, in the six-team league where everyone plays three games, suppose we have the following results: A beat B and C; B beat C and F; C beat D; D beat E; E beat A; F beat D and E. Then we can prove that A is better than F, because A beat B, who in turn, beat F. Similarly, we can prove that F is better than A because F beat E and E beat A. Given a list of game scores and two teams X and Y, either find a proof (if one exists) that X is better than Y, or indicate that no proof of this form can be found.

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