3.7 The formulation of problem, solution, and search algorithm given in this chapter explicitly!

mentions the path to a goal state. This is because the path is important in many problems. For 1 other problems, the path is irrelevant, and only the goal state matters. Consider the problem!

"Find the square root of 123454321." A search through the space of numbers may pass through]

many states, but the only one that matters is the goal state, the number 11111. Of course, from a 1 theoretical point of view, it is easy to run the general search algorithm and then ignore all of the f path except the goal state. But as a programmer, you may realize an efficiency gain by coding a version of the search algorithm that does not keep track of paths. Consider a version of problem I solving where there are no paths and only the states matter. Write definitions of problem and solution, and the general search algorithm. Which of the problems in Section 3.3 would best use this algorithm, and which should use the version that keeps track of paths?