Ranking. () Consider a tree where each entity x has an initial value v(x); these values are not necessarily distinct. The rank of an entity x will be the rank of its value; that is, rank(x) = 1 + |{y ∈ v : v(y) < v(x)}. So, whoever has the smallest value, has rank 1. Design an efficient protocol to determine the rank of all entities. prove the correctness of your protocol and analyze its complexity.