Emily Rosemary Collins

💡 Problem Formulation: We are tackling the challenge of identifying the longest subsequence that can be removed from a string s while ensuring that another string t remains a subsequence of s. For instance, with s = “abdcdbc” and t = “abc”, removing “dbd” or “dcb” from s leaves us with a string that still … Read more

💡 Problem Formulation: We need to determine the smallest distance between indices of adjacent elements in a Python list. If we are given an input list like [5, 3, 2, 3, 3, 5], we aim to find the minimum index difference for adjacent elements with the same value, which in this case would be the … Read more

💡 Problem Formulation: We need to devise a program that manipulates a binary string to maximize a score by repeatedly removing occurrences of the substrings ’10’ or ’01’. For example, given the input ‘1101001’, the desired output is the maximum score, which in this case would be 3 if ’10’ or ’01’ are each worth … Read more

💡 Problem Formulation: Imagine you are given a directed graph and a set of edges. Your task is to count the number of unique paths that traverse all the given edges at least once. This problem can be challenging as it combines elements of graph theory and pathfinding algorithms. For instance, given a graph with … Read more

💡 Problem Formulation: We’re tackling the problem of counting how many points from a given set lie on the same line. Mathematically, points (x,y) lie on a line when they satisfy the equation y = mx + c, where ‘m’ is the slope and ‘c’ is the y-intercept. For instance, given a series of points … Read more

💡 Problem Formulation: Given an integer, the goal is to delete a subset of its digits such that the sum of the remaining digits is minimized. For instance, from the integer 261, if we delete the digit ‘6’, we are left with the number 21, whose digits sum up to 3. The challenge lies in … Read more

💡 Problem Formulation: Imagine having a 2D matrix of letters representing a grid similar to a crossword puzzle. The task is to write a program that counts the number of valid English words that can be constructed by sequentially connecting adjacent (horizontally, vertically, or diagonally) letters without reusing any cell. For example, given a matrix … Read more

💡 Problem Formulation: In the realm of array processing or discrete event simulations, we are often faced with the challenge of finding the maximum value of k that allows entities within a dataset to maintain a specified ‘safe’ distance from each other. For instance, given an array of points on a number line, we want … Read more

Method 1: Depth-First Search (DFS) Depth-First Search (DFS) is a traversal algorithm that can be adapted to identify and remove islands that are not connected to the matrix border. By iteratively descending one path as far as possible before backtracking, we can mark all nodes (in this case, cells with a ‘1’) that are part … Read more

💡 Problem Formulation: In this article, we explore the nuances of evaluating s-expressions, a notation commonly used in programming languages like Lisp. Each s-expression is a string representing a structured list, and evaluating it means parsing and executing it to obtain a result. For instance, given the input “(add 1 (multiply 2 3))”, we aim … Read more

💡 Problem Formulation: In this article, we’re tackling the algorithmic problem of finding the minimum cost to collect gold from two distinct locations. Consider the problem where we have two points on a grid, each with a certain cost to collect gold, and perhaps a cost associated with moving through the grid. What is the … Read more

💡 Problem Formulation: We must write a Python program that partitions a given list such that each partition contains unique characters without repetition. Imagine a list [‘a’, ‘b’, ‘a’, ‘b’, ‘c’]. The goal is to partition the list into chunks where each character appears only once, resulting in the desired output [3, 2], as the … Read more