Minimum Swaps Required to Sort an Array
An efficient algorithm to find the minimum number of swaps required to sort the array in ascending order. Problem: We have an unordered array consisting of consecutive distinct integers ∈ [1,2,3,...n], where n is the size of the array. We are allowed to swap any two elements. We need to find the minimum number of swaps required to sort the array in ascending order. Algorithm Concept: 1. Look at each index and compare the index position with its element value if its same then move to the next index position. 2. If index position is not the same as element value then treat element value as index value for finding the next element. 3. If we come back to the visited element then there exist a cycle, then count the size of that cycle, the number of swaps for particular cycle would be size-1, do this for all the cycles and add them together. Outline (check the comment section for a clickable version): 00:00 : Introduction 00:06 : Problem 00:52 : Wrong Approach (Brute Force) Method with Animation Example 01:31 : Algorithm Concept 02:23 : Efficient Solution with Animation Example 05:44 : Code Implementation of Algorithm Code Available At: https://sites.google.com/view/minswaps
An efficient algorithm to find the minimum number of swaps required to sort the array in ascending order. Problem: We have an unordered array consisting of consecutive distinct integers ∈ [1,2,3,...n], where n is the size of the array. We are allowed to swap any two elements. We need to find the minimum number of swaps required to sort the array in ascending order. Algorithm Concept: 1. Look at each index and compare the index position with its element value if its same then move to the next index position. 2. If index position is not the same as element value then treat element value as index value for finding the next element. 3. If we come back to the visited element then there exist a cycle, then count the size of that cycle, the number of swaps for particular cycle would be size-1, do this for all the cycles and add them together. Outline (check the comment section for a clickable version): 00:00 : Introduction 00:06 : Problem 00:52 : Wrong Approach (Brute Force) Method with Animation Example 01:31 : Algorithm Concept 02:23 : Efficient Solution with Animation Example 05:44 : Code Implementation of Algorithm Code Available At: https://sites.google.com/view/minswaps