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Custom Cache Eviction Policy

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Your question is Custom Cache Eviction Policy. Start with the requirements on the right.

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Problem

Persistent API services need a bounded in-memory cache for frequently requested responses. Implement a cache that evicts the least recently used entry whenever inserting a new entry would exceed its capacity.

The cache must support get and put operations in O(1) average time. A successful get marks the entry as most recently used. Updating an existing key with put also marks it as most recently used.

Formal Specification

Implement process_cache(capacity, operations). capacity is a positive integer. operations is a list containing either ['get', key] or ['put', key, value], where keys and values are integers. Return a list containing the result of every get, in the same order. Return -1 when a key is absent. put operations do not add an item to the returned list.

Use a hash map combined with a doubly linked list. The list must maintain entries from least recently used to most recently used.

Constraints

  • 1 <= capacity <= 10^5
  • 1 <= len(operations) <= 2 * 10^5
  • 0 <= key, value <= 10^9
  • Each operation is either ['get', key] or ['put', key, value]

Function Signature

def process_cache(capacity, operations):
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