Lexicographical Numbers
Explore how to generate all numbers from 1 to n in lexicographical order by understanding dictionary-based ordering. This lesson guides you through the problem constraints and challenges you to implement an efficient solution applying trie principles and logical reasoning.
We'll cover the following...
Statement
Given an integer value
Constraints:
Examples
Understand the problem
Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:
Lexicographical Numbers
Which lexicographical order is correct for the given number?
n = 7
[1, 2, 3, 4, 5, 6]
[1, 2, 3, 4, 5, 6, 7]
[0, 1, 2, 3, 4, 5, 6, 7]
[0, 1, 2, 3, 4, 5, 6]
Figure it out!
We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.
Note: As an additional challenge, we have intentionally hidden the solution to this puzzle.
Try it yourself
Implement your solution in main.java in the following coding playground. We have provided useful code template in the other file that you may build on to solve this problem.
We have left the solution to this challenge as an exercise for you. The optimal solution to this problem runs in O(n) time and takes O(n) space. You may try to translate the logic of the solved puzzle into a coded solution.
import java.util.*;public class Main {public static List<Integer> lexicographicalOrder(int n) {// Replace this placeholder return statement with your codereturn new ArrayList<>();}}