POTD_16_OCT_2024_TwoSwaps

[Avnee29]

📝 Description

Given a permutation of some of the first natural numbers in an array arr[], determine if the array can be sorted in exactly two swaps. A swap can involve the same pair of indices twice.
Return true if it is possible to sort the array with exactly two or zero swaps, otherwise return false.

💡 Enhancement / Feature Request (if applicable)

Why It's Useful
Determining if an array can be sorted with exactly two swaps is useful in algorithm optimization, as it can help identify how close a dataset is to being sorted. This has applications in sorting algorithms, data organization, and performance analysis.

How It Should Work
Compare the original array to its sorted version to identify mismatches.
Count the number of mismatched positions:
0 mismatches: Return true (already sorted).
2 mismatches: Check if swapping the two elements can sort the array; if yes, return true.
4 mismatches: Ensure two pairs can be swapped to sort the array; if yes, return true.
Any other count of mismatches (1, 3, or more than 4): Return false.
This method allows you to efficiently assess the sortability of the array with minimal operations.

🌐 Additional Context

To determine if an array can be sorted with exactly two swaps:

Count mismatches with the sorted version.
Apply the conditions based on the number of mismatches. This method provides a systematic way to evaluate the possibility of sorting with limited operations.

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