Problem: All O`one Data Structure
Understand how to build the AllOne data structure that supports incrementing, decrementing, and retrieving keys with maximum or minimum frequencies efficiently. Explore using a doubly linked list combined with hash maps to perform all operations in constant time, enhancing problem-solving with linked lists.
We'll cover the following...
Statement
Design a data structure that stores string keys along with their frequencies and supports efficient updates and queries.
Implement the AllOne class:
AllOne()→ Initializes the data structure.inc(key)→ Increases the count ofkeyby1. If the key does not exist, insert it with count1.dec(key)→ Decreases the count ofkeyby1. If the count becomes0, remove the key. It is guaranteed the key exists whendecis called.getMaxKey()→ Returns any key with the highest count. If empty, return"".getMinKey()→ Returns any key with the lowest count. If empty, return"".
All operations must run in average
Examples
Try it yourself
Implement your solution in the following coding playground.
import java.util.*;class AllOne {public AllOne() {// Write your code here}public void inc(String key) {// Write your code here}public void dec(String key) {// Write your code here}public String getMaxKey() {// Replace this placeholder return statement with your codereturn "";}public String getMinKey() {// Replace this placeholder return statement with your codereturn "";}}
Solution
The solution uses a doubly linked list combined with two hash maps to support efficient retrieval of the highest- and lowest-frequency keys in constant time. The linked list keeps nodes arranged by frequency in ascending order, where each node stores a specific frequency count and a set of keys that all share that count. One hash map called ...