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Quick Sort - Missing Optimizations and Edge Cases #1648

Description

@AbhinavJha1023

GitHub Issues for Sorting Algorithm Improvements
Issue #1: Radix Sort - Performance and Visualization Issues
Problem
The current Radix Sort implementation has several issues affecting performance and user experience:

Unnecessary array copying during visualization: Creating full array copies on every iteration
Incorrect comparison counting: Counting array accesses as comparisons (not meaningful for Radix Sort)
Inefficient color updates: Creating new color arrays repeatedly
Memory overhead: Multiple intermediate arrays created unnecessarily
Poor visualization: Updates happen during placement phase, making it hard to follow

Current Behavior

Comparisons counter inflates artificially (array indexing isn't comparison)
Excessive re-renders due to multiple state updates per element
Visualization shows incomplete intermediate states

Expected Behavior

Show clear digit-by-digit processing
Highlight current digit being sorted
Display counting buckets visually
Accurate statistics (array accesses, not comparisons)
Smooth, understandable visualization

Proposed Solution
See optimized code below.

Issue #2: Quick Sort - Missing Optimizations and Edge Cases
Problem
The current Quick Sort implementation lacks standard optimizations:

Poor pivot selection: Always choosing last element (worst case O(n²) on sorted data)
No tail recursion optimization: Risks stack overflow on large arrays
No insertion sort cutoff: Inefficient for small subarrays
Excessive state updates: Update on every comparison
Missing edge case handling: No check for already sorted partitions

Current Behavior

O(n²) performance on already sorted arrays
Stack overflow risk on deep recursion
Slower than necessary on small partitions

Expected Behavior

Median-of-three pivot selection
Tail recursion elimination
Insertion sort for small subarrays (< 10 elements)
Efficient visualization with batched updates
Robust handling of edge cases

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