An invariant is a condition that remains true during the execution of an algorithm, helping to ensure correctness and provide a framework for reasoning about the algorithm's behavior. In the context of disjoint set data structures and union-find algorithms, invariants help maintain certain properties that are essential for the efficient operation of these structures, such as ensuring that all elements in a set share a common representative or root.
congrats on reading the definition of Invariant. now let's actually learn it.