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LRU Cache

LeetCode https://leetcode.cn/problems/lru-cache/

这是个啥玩意?? https://en.wikipedia.org/wiki/Cache_replacement_policies#LRU

题目描述

请你设计并实现一个满足LRU (最近最少使用) 缓存 约束的数据结构。

实现 LRUCache 类:

  1. LRUCache(int capacity) 以 正整数 作为容量 capacity 初始化 LRU 缓存
  2. int get(int key) 如果关键字 key 存在于缓存中,则返回关键字的值,否则返回 -1
  3. void put(int key, int value) 如果关键字 key 已经存在,则变更其数据值 value ;如果不存在,则向缓存中插入 该组 key-value 。如果插入操作导致关键字数量超过 capacity ,则应该 逐出 最久未使用的关键字。

函数 getput 必须以 O(1) 的平均时间复杂度运行。

示例:

输入

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2
["LRUCache", "put", "put", "get", "put", "get", "put", "get", "get", "get"]
[[2], [1, 1], [2, 2], [1], [3, 3], [2], [4, 4], [1], [3], [4]]

输出

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[null, null, null, 1, null, -1, null, -1, 3, 4]

解释

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LRUCache lRUCache = new LRUCache(2);
lRUCache.put(1, 1); // 缓存是 {1=1}
lRUCache.put(2, 2); // 缓存是 {1=1, 2=2}
lRUCache.get(1);    // 返回 1
lRUCache.put(3, 3); // 该操作会使得关键字 2 作废,缓存是 {1=1, 3=3}
lRUCache.get(2);    // 返回 -1 (未找到)
lRUCache.put(4, 4); // 该操作会使得关键字 1 作废,缓存是 {4=4, 3=3}
lRUCache.get(1);    // 返回 -1 (未找到)
lRUCache.get(3);    // 返回 3
lRUCache.get(4);    // 返回 4

提示:

  • 1 <= capacity <= 3000
  • 0 <= key <= 10000
  • 0 <= value <= 105
  • 最多调用 2 * 105 次 get 和 put

Code

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class LRUCache {

    public LRUCache(int capacity) {

    }
    
    public int get(int key) {

    }
    
    public void put(int key, int value) {

    }
}

/**
 * Your LRUCache object will be instantiated and called as such:
 * LRUCache obj = new LRUCache(capacity);
 * int param_1 = obj.get(key);
 * obj.put(key,value);
 */

Solution

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class LRUCache {

    private static class Node {
        Node next;
        Node prev;
        int key;
        int value;

        Node(int key, int value) {
            this.key = key;
            this.value = value;
        } 
    } 

    private final int capacity;
    private Node head;
    private Node tail;
    private Map<int, Node> map;

    public LRUCache(int capacity) {
        this.capacity = capacity;
        this.map = new HashMap<>();
    }
    
    public int get(int key) {
        Node node = map.get(key);
        if (node == null) {
            return -1;
        }
        remove(node);
        append(node);

        return node.value;
    }
    
    public void put(int key, int value) {
        Node node = null;
        if (map.containsKey(key)) {
            node = map.get(key);
            node.value = value;
            remove(node);
        } else if (map.size() < capacity) {
            node = new Node(key, value);
        } else {
            node = tail;
            remove(node);
            node.key = key;
            node.value = value;
        }
        append(node);
    } 

    private Node remove(Node node) {
        map.remove(node.key);
        if (node.prev != null) {
            node.prev.next = node.next;
        }
        if (node.next != null) {
            node.next.prev = node.prev;
        }
        if (node == head) {
            head = head.next;
        }
        if (node == tail) {
            tail = tail.prev;
        }
        node.next = node.prev = null;

        return node;
    }

    private Node append(Node node) {
        map.put(node.key, node);
        if (head == null) {
            head = tail = node;
        } else {
            node.next = head;
            head.prev = node;
            head = node;
        }

        return head;
    }

}

/**
 * Your LRUCache object will be instantiated and called as such:
 * LRUCache obj = new LRUCache(capacity);
 * int param_1 = obj.get(key);
 * obj.put(key,value);
 */

Complexity

  • Amortized Time = O(1) (get, put)
  • Space = O(n) (HashMap)

Optimize

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