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Binary Search Fundamentals Binary search oeprates on sorted arrays to locate target values efficiently. public class BinarySearch { public int findTarget(int[] sortedArray, int target) { int start = 0; int end = sortedArray.length - 1; while (start <= end) { int center = start + (end - start) ...

Reversing a Linnked List Problem: Given the head of a singly linked list, reverse the list and return the new head. Approach: Iterative Node Reversal To reverse a linked list iteratively, we can utilize three pointers: current, previous, and temporary. The current pointer traverses the list, while the previous pointer keeps track of the reverse ...

Given a string s, the objective is to locate and return longest substring that reads the same forwards and backwards. Examples Input: s = "babad" Output: "bab" Note: "aba" is also a valid answer. Input: s = "cbbd" Output: "bb" Input: s = "a" Output: "a" Input: s = "a ...

In-place modification refers to operations pefrormed directly on the original data structure without allocating new storage. For duplicate removal, a naive approach would involve creating a new array to store unique elements, but in-place constraints require modifying the existing array and returning its new effective length. When dealing with ...

Overview of Heap Sort Heap sort is a powerful comparison-based sorting algorithm that leverages the properties of a binary heap data structure. It offers a time complexity of O(n log n), making it suitable for sorting large datasets. Unlike some other sorting algorithms, heap sort is in-place and has consistent performance across best, average, ...

Problem A: Strategic Allocation This challenge involves selecting a subset of items to meet a weight capacity requirement with the minimum count. The optimal approach utilizes a greedy strategy. By prioritizing larger weights first, we minimize the number of items required to reach the target threshold. void processAllocation() { int itemCo ...

The standard hash computation for character sequences in Java relies on a polynomial rolling hash function. The core implementation multiplies the accumulated hash value by a constant factor before adding the next character code. public static int computeStringHash(char[] data) { int result = 0; for (char c : data) { result = 31 ...

Depth-First Search (DFS) DFS explores as far as possible along each branch before backtracking. It's implemented using recursion or a stack. def dfs(graph, node, visited): if node not in visited: visited.add(node) for neighbor in graph[node]: dfs(graph, neighbor, visited) Applications Maze Solving: DFS can find ...

String and Vector Reversal/Rotation The C++ Standard Template Library provides versatile algorithms for manipulating sequence iterators. The std::reverse and std::reverse_copy algorithms invert element orders, while std::rotate shifts elements within a given range, effectively creating circular permutations. #include <iostream> #include & ...

Narcissistic Numbers A narcissistic number (also known as an Armstrong number) is a three-digit number where the sum of each digit raised to the power of three equals the original number. For instance, 153 is narcissistic because 1³ + 5³ + 3³ = 153. for num in range(100, 1000): hundreds = num // 100 tens = (num // 10) % 10 units = n ...