Freaks City

Problem A: Tree Value Maximization Approach Define subtree_value[i] as the value generated by the subtree rooted at node i: subtree_value[i] = subtree_size[i] + Σ subtree_value[j] for all children j of i. The initial selection of i as root gives subtree_size[i] value, followed by contributions from its subtrees. Direct computation for each root ...

Fountain Construction Optimization Three construction strategies exist: using only coins, only diamonds, or a combination. Iterate through coin-based fountains while tracking maximum aesthetic value achievable with remaining coins via a segment tree. Similarly process diamond-based options and update combined solutions during iteration. #includ ...

Directed Acyclic Graphs (DAG)A Directed Acyclic Graph (DAG) is a directed graph containing no cycles. If a directed graph contains a cycle, no topological ordering exists. For a valid DAG, multiple valid topological orderings may be possible.For any vertex in a directed graph, the count of incoming edges is called in-degree, and the count of ou ...