# Time:  O(1), per operation
# Space: O(k), k is the capacity of cache

# Design and implement a data structure for Least Frequently Used (LFU) 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 reaches its capacity,
# it should invalidate the least frequently used item before inserting a new item.
# For the purpose of this problem, when there is a tie
# (i.e., two or more keys that have the same frequency),
# the least recently used key would be evicted.
#
# Follow up:
# Could you do both operations in O(1) time complexity?
#
# Example:
#
# LFUCache cache = new LFUCache( 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.get(3);       // returns 3.
# cache.put(4, 4);    // evicts key 1.
# cache.get(1);       // returns -1 (not found)
# cache.get(3);       // returns 3
# cache.get(4);       // returns 4

class ListNode(object):
    def __init__(self, key):
        self.key = key
        self.next = None
        self.prev = None


class LinkedList(object):
    def __init__(self):
        self.head = None
        self.tail = None
    
    def append(self, node):
        if self.head is None:
            self.head = node
        else:
            self.tail.next = node
            node.prev = self.tail
        self.tail = node
            
    def delete(self, node):
        if node.prev:
            node.prev.next = node.next
        else:
            self.head = node.next
        if node.next:
            node.next.prev = node.prev
        else:
            self.tail = node.prev
        del node


class LFUCache(object):

    def __init__(self, capacity):
        """
        :type capacity: int
        """
        self.__capa = capacity
        self.__size = 0
        self.__min_freq = 0
        self.__freq_to_nodes = collections.defaultdict(LinkedList)
        self.__key_to_node = {}
        self.__key_to_val_freq = {}


    def get(self, key):
        """
        :type key: int
        :rtype: int
        """
        if key not in self.__key_to_val_freq:
            return -1

        self.__freq_to_nodes[self.__key_to_val_freq[key][1]].delete(self.__key_to_node[key])
        if not self.__freq_to_nodes[self.__key_to_val_freq[key][1]].head:
            del self.__freq_to_nodes[self.__key_to_val_freq[key][1]]
            if self.__min_freq == self.__key_to_val_freq[key][1]:
                self.__min_freq += 1
        
        self.__key_to_val_freq[key][1] += 1
        self.__freq_to_nodes[self.__key_to_val_freq[key][1]].append(ListNode(key))
        self.__key_to_node[key] = self.__freq_to_nodes[self.__key_to_val_freq[key][1]].tail

        return self.__key_to_val_freq[key][0]
        

    def put(self, key, value):
        """
        :type key: int
        :type value: int
        :rtype: void
        """
        if self.__capa <= 0:
            return

        if self.get(key) != -1:
            self.__key_to_val_freq[key][0] = value
            return
        
        if self.__size == self.__capa:
            del self.__key_to_val_freq[self.__freq_to_nodes[self.__min_freq].head.key]
            del self.__key_to_node[self.__freq_to_nodes[self.__min_freq].head.key]
            self.__freq_to_nodes[self.__min_freq].delete(self.__freq_to_nodes[self.__min_freq].head)
            if not self.__freq_to_nodes[self.__min_freq].head:
                del self.__freq_to_nodes[self.__min_freq]
            self.__size -= 1
            
        self.__min_freq = 1
        self.__key_to_val_freq[key] = [value, self.__min_freq]
        self.__freq_to_nodes[self.__min_freq].append(ListNode(key))
        self.__key_to_node[key] = self.__freq_to_nodes[self.__min_freq].tail
        self.__size += 1

# Your LFUCache object will be instantiated and called as such:
# obj = LFUCache(capacity)
# param_1 = obj.get(key)
# obj.put(key,value)

Create lfu-cache.py