Kth Smallest Element in an Array

Introduction In data structures and algorithms, finding the kth smallest element in an array is a commonly asked problem. It helps in understanding sorting techniques and efficient data processing ...

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Kth Smallest Element in an Array

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Introduction In data structures and algorithms, finding the kth smallest element in an array is a commonly asked problem. It helps in understanding sorting techniques and efficient data processing methods. Problem Statement Given an array arr[] and an integer k, return the kth smallest element in the array. Example Input: arr = [10, 5, 4, 3, 48, 6, 2, 33, 53, 10] k = 4 Output: 5 Explanation: After sorting the array: [2, 3, 4, 5, 6, 10, 10, 33, 48, 53] The 4th smallest element is 5. Approach 1: Using Sorting Explanation The simplest approach is to sort the array in ascending order and return the element at index k-1. Python Code class Solution: def kthSmallest(self, arr, k): arr.sort() return arr[k-1] Complexity Time Complexity: O(n log n) Space Complexity: O(1) Approach 2: Using Heap *Explanation * A more efficient method for large datasets is to use a min-heap. This avoids sorting the entire array and improves performance. Python Code import heapq class Solution: def kthSmallest(self,

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