Minimum Operations to Make Numbers Non-positive

Given an array of integers, compute the minimum number of allowed reduction operations needed to make every element non‑positive (≤ 0) — where each operation can reduce values according to specified rules that may affect single elements or ranges. The hard part is optimizing overlapping reductions and choosing the sequence of operations efficiently, typically requiring greedy/DP with data structures like heaps, segment trees, or difference arrays to handle constraints and interactions.