Sorting Algorithms Questions Medium
Bitonic sort, pancake sort, and stooge sort are all comparison-based sorting algorithms, but they differ in terms of their time complexities.
1. Bitonic Sort:
Bitonic sort is a parallel sorting algorithm that works by dividing the input into two halves, creating a bitonic sequence. It then repeatedly performs a series of comparisons and swaps to sort the sequence. The time complexity of bitonic sort is O(log^2 n), where n is the number of elements to be sorted.
2. Pancake Sort:
Pancake sort is a sorting algorithm that works by repeatedly flipping the largest unsorted element to the front of the sequence until the entire sequence is sorted. The time complexity of pancake sort is O(n^2), where n is the number of elements to be sorted. This is because in the worst case, each element may need to be flipped twice.
3. Stooge Sort:
Stooge sort is a recursive sorting algorithm that works by dividing the input into three parts and recursively sorting the first two-thirds and last two-thirds of the sequence. It then recursively sorts the first two-thirds again to ensure that the entire sequence is sorted. The time complexity of stooge sort is O(n^(log 3 / log 1.5)), which is approximately O(n^2.7095). This makes stooge sort less efficient compared to other sorting algorithms.
In summary, the time complexities of the three sorting algorithms are as follows:
- Bitonic sort: O(log^2 n)
- Pancake sort: O(n^2)
- Stooge sort: O(n^(log 3 / log 1.5)) or approximately O(n^2.7095)