Comparison-based Sorting: Sorting algorithms that determine the order of elements by comparing pairs of items, typically using relational operators like <, >, or ==.
Stable Sort: A sorting method that preserves the relative order of records with equal keys, ensuring that identical elements retain their original sequence post-sorting.
In-Place Sorting: An algorithm that sorts data without requiring additional memory proportional to the input size, modifying the original data structure directly.
Divide and Conquer: A paradigm where a problem is recursively broken down into smaller subproblems, solved independently, and then combined to form the solution (e.g., Merge Sort, Quick Sort).
Pivot Element: In algorithms like Quick Sort, a selected element around which the array is partitioned into subarrays for recursive sorting.
Time Complexity (Comparison-based): Generally, comparison-based sorts have a lower bound of O(n log n) for average and worst cases, due to the comparison-based decision process.
1. What is comparison-based sorting?
2. Which comparison-based sorting algorithm is characterized by repeatedly swapping adjacent elements to order a list?
3. Which of the following is a non-comparison sorting algorithm explicitly mentioned in the course content?
Comparison-based Sorting — definition?
Sorts by comparing element pairs.
Comparison-based Sorting — definition?
Sorts by comparing pairs of elements.
Non-comparison Sorting — role?
Uses keys or digits, not comparisons, for sorting.
Stable Sort — role?
Preserves relative order of equal elements.
Bubble Sort — mechanism?
Repeatedly swaps adjacent out-of-order elements.
In-Place Sorting — meaning?
Modifies the original data without extra memory.
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