LRU Cache Implementation

Design and implement a data structure for Least Recently Used (LRU) cache to support the following operations:

1. get(key) - Return the value of the key if the key exists in the cache, otherwise return -1.

2. put(key, value), Insert the value in the cache if the key is not already present or update the value of the given key if the key is already present. When the cache reaches its capacity, it should invalidate the least recently used item before inserting the new item.

Type 0: for get(key) operation.
Type 1: for put(key, value) operation.

1. The cache is initialized with a capacity (the maximum number of unique keys it can hold at a time).

2. Access to an item or key is defined as a get or a put operation on the key. The least recently used key is the one with the oldest access time.

1 <= C <= 10^4
1 <= Q <= 10^5
1 <= key, value <= 10^9

Time Limit: 1 sec

3 11
1 1 1
1 2 2
1 3 3
1 4 5
0 3
0 1
0 4
1 2 3
0 1
0 3
0 2

3
-1
5
-1
3
3

Initializing a cache of capacity 3, LRUCache cache = new LRUCache(3);
Then each operation is performed as shown in the above figure.
cache.put(1,1)
cache.put(2,2)
cache.put(3,3)
cache.put(4,5)
cache.get(3)      // returns 3
cache.get(1)      // returns -1
cache.get(2)      // returns 2
cache.put(5,5)
cache.get(4)      // returns -1
cache.get(3)      // returns 3

2 6
1 1 1
1 2 2
0 2
1 3 3
0 3
0 1

2
3
-1