Sorting exercises in C Programming in C

• LEVEL 1 Repetitive structure One dimensional array Sorting seven numbers: Write a program which reads an array of 7 integers then represents them in an increasing order....
• LEVEL 3 One dimensional array Recursive function Recursion Sorting using merge-sort algorithm: Sort the elements of an array A in ascending order. Condition Merge 2 arrays (each of 1 element) Divide the non sorted array until the condition is verified and sort the divided parts into pairs. Precisely: Recursively divide the non sorted array in...
• LEVEL 3 One dimensional array Heap Sorting using heap-sort algorithm: Sort the elements of an array A in ascending order. Heapsort algorithm inserts all elements into a heap, then removes them from the root of a heap until the heap is empty. Sort can be done in place with the array to be sorted.Instead of deleting an e...
• LEVEL 3 One dimensional array Recursive function Recursion Sorting using quick-sort algorithm: Sort the elements of an array A in ascending order. Quick-sort uses recursive calls for sorting the elements. Is an example for divide-and-conquer algorithmic technique.Divide: the array A[low … high] is partitioned into two non-empty sub arrays A[...
• LEVEL 3 One dimensional array Sorting using the counting sort algorithm: Sort the elements of an array A in ascending order. According to wikipedia, the counting sort is an algorithm for sorting a collection of objects according to keys that are small integers; that is, it is an integer sorting algorithm. It operates by ...
• LEVEL 3 One dimensional array Sorting using the radix sort algorithm: Sort the elements of an array A in ascending order. According to wikipedia, the radix sort is a non-comparative integer sorting algorithm that sorts data with integer keys by grouping keys by the individual digits which share the same significant po...
• LEVEL 3 Heap Heapsort complexity: What is the asymptotic running time of the $$\texttt{heapsort}$$ algorithm on an array of length $$n$$ that is already sorted in ascending order? What about if the array is sorted in decreasing order? In both cases, justify your answer....
• LEVEL 3 Recursive function Recursion Trace of MergeSort: Consider the following array: $$\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 5 & 8 & 1 & 9& -2 & 10 & 3 & 2 & 6 & 2 & 0 & 7 & -4 \\\hline\end{array}$$ Trace MergeSort using the above table to sort ...
• LEVEL 3 Recursive function Recursion Heap Tracing QuickSort and Heapsort: Consider the following table: $$\begin{array}{|c|c|c|c|c|c|c|c|c|}\hline 9 & 15& 5 &7 &11 &4 &10 &13 &8\\\hline \end{array}$$ Trace $$\texttt{QuickSort}$$ using the above table to sort its entries. Trace $$\texttt{Heap...
• LEVEL 3 Recursive function Recursion Kth smallest element in an array using QuickSort: Implement the following function $$\texttt{find_k}$$ : $$\texttt{int find_k(int A[], int N, int k);}$$ where $$\texttt{A}$$ is an array of distinct positive numbers, $$\texttt{N}$$ the dimension of the array, and $$\texttt{k} > 0$$. The function c...

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