Exercises 33 and \(39: U, X, Y, Z\)

Use your solutions to the indicated exercises to compare the results of the brute force method to the results of the nearest neighbor method for each traveling salesman problem of finding a reasonably short route to leave from city \(U\), visit each of the other cities listed and return to city \(U\). Indicate whether the greedy algorithm resulted in a Hamilton cycle of the same weight, lower weight, or higher weight. Is this consistent with the characteristics of brute force algorithms and greedy algorithms? Explain your reasoning.