Problem Description
This is a problem to sort numbers in a given integer array. The length of the integer array is N, and
each integer has a value between 0 and 100.
There may be duplicate numbers among these integers, and those numbers should be sorted and printed according to their occurrences.
Input Format
The first line contains an integer N (1 ≤ N ≤ 100,000), and
the second line contains N integers separated by spaces.
Output Format
Print the sorted integers in one line, separated by spaces.
Example Input
5 3 4 3 2 1
Example Output
1 2 3 3 4
Problem Solving Process
1. Understanding the Problem
We need to sort the given array while considering duplicate numbers to obtain a sorted format.
This problem can be easily solved using a common sorting algorithm.
2. Approaching the Problem
In JavaScript, we can easily sort an array using the built-in method sort().
The sort() method converts the array elements to strings and sorts them based on Unicode values.
However, to sort integers, we need to provide a comparison function.
3. Implementation Method
– To sort the input array, we first read the array.
– Then, we use the sort() method along with a comparison function to sort the array.
– Finally, we print the sorted array.
4. JavaScript Code Implementation
// Reading input
const fs = require('fs');
const input = fs.readFileSync('/dev/stdin').toString().trim().split('\n');
const N = parseInt(input[0], 10);
const numbers = input[1].split(' ').map(Number);
// Sorting
numbers.sort((a, b) => a - b);
// Output
console.log(numbers.join(' '));
5. Time Complexity
The time taken to sort the provided array is generally O(N log N).
This is because JavaScript’s sort() method operates based on efficient sorting algorithms like quicksort and mergesort.
6. Space Complexity
The additional memory space used is O(N).
This is needed for creating a copy of the array or for storing the sorted results.
Conclusion
This problem is a simple sorting problem that can be easily solved using JavaScript’s built-in methods.
It is important to write efficient code while considering the time complexity of sorting algorithms during problem-solving.
I hope you have learned about sorting algorithms and how to use JavaScript’s sort() method through this lecture.