Invmin

Invmin refers to the inverse minimum operation. In mathematics and computer science, it is a function that, given a set of numbers, finds the smallest number that is not present in that set. This concept is closely related to the Mex (Minimum Excluded) function, which is commonly used in combinatorial game theory. For instance, if the set of numbers is {0, 1, 3}, the invmin would be 2. If the set is {1, 2, 3}, the invmin would be 0. The invmin operation is often employed in algorithms dealing with game states or resource allocation where identifying the smallest available or missing element is crucial. Its application can be seen in areas like impartial games, where it helps determine winning and losing positions. The complexity of calculating invmin depends on the data structure used to store the set and the range of numbers involved. For a set of n integers, it can often be computed efficiently using sorting or hash tables.