Design a prioritized log manager with eviction

Design a log management component that supports prioritized deletion under capacity constraints. Requirements: ( 1) The total number of stored log records across all files must not exceed total_max. ( 2) addLog(fileId, record, priority, timestamp) must automatically evict old data when limits are exceeded. ( 3) When eviction is required, delete the "least important" logs first according to a well-defined policy that considers priority (higher is more important) and recency (newer is more important). ( 4) Support both per-file limits (optional X per file) and a global limit total_max. ( 5) Provide APIs to add logs, query by file, and observe current capacities. Target complexities: O( 1) or amortized O( 1) to identify a deletion candidate and O(log n) or better per insertion/eviction. Describe your data model, data structures, and trade-offs.