Canvas Painting The problem involves finding the maximum number of effective operations to reduce distinct colors. With n initial colors, each operation can reduce one color by making two positions share the same color. The answer is n minus the maximum effective operations. Algorithm: Group paintin...
Data Structures Fundamentals Data structures provide the foundation for algorithm implemantation, offering various ways to organize and store data efficiently. Core Data Structure Types Arrays: Contiguous memory allocation enabling random access with O(1) time complexity for element retrieval Linked...
Given two strings text and pattern, find all starting indices in text where pattern occurs as a contiguous substring. Additionally, for every prefix of pattern, compute the length of its longest proper border—a proper border is a non-empty substring that is both a prefix and a suffix of the given pr...
Algorithmic Solutions for Competitive Programming Problems Extracting Initial Characters from Input Strings When solving problems that require extracting the first letters of words from input strings, a direct character-by-character approach can be effective: #include <iostream> #include <s...
The chunk function is a utility designed to split a single array into multiple sub-arrays of a specific length. If the total number of elements isn't perfectly divisible by the chunk size, the final sub-array contains the remaining elements. This pattern is particularly useful in frontend developmen...
Deleting Nodes by Value in a Linked List A direct approach is to construct a new list containing only the nodes whoce values differ from the target. Traverse the original list, and when a node with a non-matching value is found, append it to the result. Care must be taken to terminate the new list p...
A peak element in an array is one that is strictly greater than its neighboring elements. Given an integer array where no two adjacent values are equal, the task is to locate any peak element and return its index. Multiple peaks may exist, and returning any single peak is acceptable. The solution mu...
Problem Definition Given an array of stock prices representing daily records, an inversion pair is defined as a tuple $(i, j)$ where $i < j$ and $record[i] > record[j]$. The objective is to calculate the total count of such pairs within the input array. For instance, given the input [9, 7, 5, 4, 6],...
Computational geometry problems typically operate in the real number space ℝ, requiring double-precision floating-point operations. The key challenge lies in comparing floating-point values due to precision errors. We often need to treat values like 1 and 1.0000001 as equal. We define an epsilon (ε)...
Sorting Squared Elements of a Monotonic Array Given an integer sequence arranged in non-decreasing order, the objective is to generate a new array containing the squares of each element, also sorted in non-decreasing order. Because the original input may contain negative values, squaring them can in...