C Programming Homework Help – The Best of the Best in the UKThe C programming language is one of the most common languages and the most preferred by the majority of institutions when it comes to introducing learners to programming. Most of the high-level programming languages we have today are a lot...
Time Complexity of Various Algorithms in C
- In every test case, the merge sort algorithm time is linearly increasing. So we can say merge sort is the best sorting algorithm for all types of input like a random value in an array or reverse sorted array and sorted array also.it takes low time because comparison is fast if memory is no problem because merge sort takes o(n)extra space when merging two arrays in merge function. Array elements with fast comparisons and slow copying seem to slightly penalize the merge sort.
- After Merge Sort Quick Sort performs better because chooses the start element as a pivot which is random in given input but if we choose pivot as the largest number then Quick Sort also takes time.
- Selection sort time increases in o(n2) terms so we can use this algorithm for a small number of elements to be sorted.
- Insertion sort performs better than Selection Sort for Random Data.
Graph: Below graph is between test cases with different sizes and times taken by every algorithm.