Yao's Millionaires' problem

Yao's Millionaires' Problem is a well-known problem in the field of secure multiparty computation. It involves two parties, each of whom has a secret value, and the goal is for both parties to determine which of the two values is larger without revealing their actual values to each other. In the classic formulation, let’s say we have two millionaires, Alice and Bob. Alice knows her wealth \(A\) and Bob knows his wealth \(B\).