Problem: LRU Cache

Posted by Marcy on February 18, 2015

Question

Design and implement a data structure for Least Recently Used (LRU) cache. It should support the following operations: get and put.

  • get(key) - Get the value (will always be positive) of the key if the key exists in the cache, otherwise return -1.
  • put(key, value) - Set or insert the value if the key is not already present. When the cache reached its capacity, it should invalidate the least recently used item before inserting a new item.

Follow up: Could you do both operations in O(1) time complexity?

Example:

LRUCache cache = new LRUCache( 2 /* capacity */ );

cache.put(1, 1);
cache.put(2, 2);
cache.get(1);       // returns 1
cache.put(3, 3);    // evicts key 2
cache.get(2);       // returns -1 (not found)
cache.put(4, 4);    // evicts key 1
cache.get(1);       // returns -1 (not found)
cache.get(3);       // returns 3
cache.get(4);       // returns 4

Solution

TODO

Code

class LRUCache {
    // double linked list
    class Node {
        // we need the key here
        // because when we remove the node from a list we
        // need to remove it from the hash table as well
        int key, value;
        Node prev;
        Node next;
        public Node(int key, int value) {
            this.key = key;
            this.value = value;
        }
    }
    
    Node head;
    Node tail;
    int capacity;
    Map<Integer, Node> map;
    
    public LRUCache(int capacity) {
        this.capacity = capacity;
        
        map = new HashMap<Integer, Node>();
        // dummy nodes could avoid a lot of trouble
        head = new Node(0, 0);
        tail = new Node(0, 0);

        head.next = tail;
        tail.prev = head;
        tail.next = null;
        head.prev = null;
    }
    
    public int get(int key) {
        if (!map.containsKey(key)) {
            return -1;
        }
        
        Node node = map.get(key);
        updateToHead(node);
        return node.value;
    }
    
    public void put(int key, int value) {
        if (!map.containsKey(key)) {
            Node node = new Node(key, value);
            map.put(key, node);
            if (map.keySet().size() > capacity) {
                Node lastNode = tail.prev;
                map.remove(lastNode.key);
                deleteNode(lastNode);
            }
            addToHead(node);
            
        } else {
            map.get(key).value = value;
            updateToHead(map.get(key));
        }
    }
    
    private void updateToHead(Node node) {
        deleteNode(node);
        addToHead(node);
    }
    
    private void deleteNode(Node node) {
        node.prev.next = node.next;
        node.next.prev = node.prev;
    }
    
    private void addToHead(Node node) {
        Node firstNode = head.next;
        head.next = node;
        node.next = firstNode;
        node.prev = head;
        firstNode.prev = node;
    }
}

/**
 * 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);
 */

Performance

TODO