1609. Key Counter Board

A quiz show tracks how many points each team name has collected on a live scoreboard. Design KeyCounterBoard, which starts empty. inc(key) adds one point to key, creating it with 1 point if it is new. dec(key) removes one point from key; a key that drops to 0 leaves the board, and calling dec on a key that is not on the board does nothing. getMaxKey() returns the key with the highest count, and getMinKey() returns the key with the lowest count; when several keys tie, return the lexicographically smallest of them. Both return the empty string when the board is empty. Keys are 1 to 10 lowercase letters and there are at most 2000 calls. Each call should take O(log n) time, using a linked list of count buckets.

Example 1

Input:
operations = ["KeyCounterBoard","inc","inc","inc","getMaxKey","getMinKey","dec","getMaxKey"]arguments = [[],["ab"],["ab"],["cd"],[],[],["ab"],[]]
Output:
[null,null,null,null,"ab","cd",null,"ab"]
Explanation:

ab has 2 points and cd has 1; after a dec both have 1 and the smaller key ab is returned.

Example 2

Input:
operations = ["KeyCounterBoard","getMaxKey","getMinKey","dec","getMaxKey"]arguments = [[],[],[],["zz"],[]]
Output:
[null,"","",null,""]
Explanation:

An empty board returns empty strings, and dec on an absent key changes nothing.

Constraints

1 ≤ key.length ≤ 10, lowercase letters

at most 2000 calls

How this problem is judged

Answers
Your answer must match exactly. Numbers compare by value, so 2 and 2.0 are equal.
Input
Each case is an operation log. operations names the class first and then each method call; arguments holds the arguments for each, in the same order. Your answer is one list with a result per operation - null for the constructor and for methods that return nothing.

Expected complexity

Time
O(log n) per call
Space
O(n)

What the author was aiming for. Your own solution is not measured against it.

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Code
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operations names the class, then each method to call; arguments holds one list of arguments per operation, in the same order.