Nuts and bolts You are given a collection of n bolts of different widens and n corresponding nuts. You are allowed to try a nut and bolt together, from which you can determine whether the nut is larger than the bolt, smaller than the bolt, or matches the bolt exactly. However, there is no way to compare two nuts together or two bolts together. The problem is to match each bolt to its nut. Design an algorithm for this problem with averaged-case efficiency in THETA(n log n).

(CS Algorithms Class)