You are given a collection of n bolts of different diameters and n corresponding nuts. You are allowed only to try a nut and a 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 to solve this problem that will be similar to a quicksort.