## Count occurrences of a number in a sorted array with duplicates

Given a sorted array of integers containing duplicates, count occurrences of a number provided. If the element is not found in the array, report that as well.

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Given a sorted array of integers containing duplicates, count occurrences of a number provided. If the element is not found in the array, report that as well.

Given a sorted array of integers, find index of first or last occurrence of a given number. If the element is not found in the array, report that as well.

Given a circular sorted array of integers, search an element in it. Assume there are no duplicates in the array and the rotation is in anti-clockwise direction.

Given a circularly sorted array of integers, find the number of times the array is rotated. Assume there are no duplicates in the array and the rotation is in anti-clockwise direction.

Given a sorted array of integers and a target value, find out if a target exists in the array or not in O(log(n)) time. If target exists in the array, print index of it.

Given a sorted array of integers and a target, find out if a target exists in the array or not. If target exists in the array, print index of it.

Given an array, find the number of inversions of it. If (i < j) and (A[i] > A[j]) then the pair (i, j) is called an inversion of an array A. We need to count all such pairs in the array.

A Hybrid Algorithm is an algorithm that combines two or more other algorithms that solve the same problem, either choosing one (depending on the data), or switching between them over the course of the algorithm. This is generally done to combine desired features of each, so that the overall algorithm is better than the individual …

Write iterative version of recursive Quick Sort algorithm.

Given an array of integers, sort it using quick sort algorithm. Quicksort is an efficient in-place sorting algorithm and can be about two or three times faster than its main competitors, merge sort and heapsort when implemented well.

Given an array of integers, sort it using merge sort algorithm. Merge sort is an efficient sorting algorithm which produces a stable sort, which means that the implementation preserves the input order of equal elements in the sorted output.