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Essential Algorithms for Array Manipulation

Arrays, as foundational data structures in programming, exhibit two key characteristics: zero-based indexing and contiguous memory allocation. This guide explores essential algorithms for manipulating arrays, demonstrating efficient solutions to common problems.

Imagine an array nums of integers sorted in ascending order and a target integer. The task is to develop a function to search for target in nums. If target is found, return its index; otherwise, return -1.

Exploring Time Complexity in Recursive Algorithms

Recursive algorithms are a fascinating aspect of computer science, often leading to elegant solutions to complex problems. To better understand their time complexity, let's delve into a simple example question.

Question: Calculating the nth Power of x

Solution 1: The Loop Method

A straightforward approach involves using a loop. Here's how it's implemented in Java: