Emily Rosemary Collins

💡 Problem Formulation: When working with matrices in Python, often times, we’re interested in finding the location of the maximum value. For example, given a matrix, we would like to determine the row and column (or indices) that contain the highest number. Here, we discuss five different methods to achieve this task and analyze their … Read more

💡 Problem Formulation: When working with grid systems, gaming environments, or spatial computations in Python, developers often encounter the need to calculate the number of blocks or tiles that can be covered given certain conditions. For example, if we have a robot on a 10×10 grid, and it can move ‘x’ blocks vertically and ‘y’ … Read more

💡 Problem Formulation: Russian Peasant Multiplication is an ancient algorithm used for multiplying two numbers together. It’s a straightforward, yet intriguing method based on the principle of doubling and halving. Given two numbers, say 18 and 25, the aim is to efficiently compute their product using Russian Peasant Multiplication, which in this case should result … Read more

💡 Problem Formulation: In computational geometry, a common problem is to determine the number of integral coordinates that lie on the straight line segment between two given points. Suppose we’re given two points, P1 (x1, y1) and P2 (x2, y2), with integral coordinates. The output we’re seeking is the count of unique integer coordinate pairs … Read more

💡 Problem Formulation: In many strategic games, the outcome can heavily depend on the opening moves. This article explores how to program in Python to find the number of possible moves that can lead the starter to victory. We’ll define what constitutes a “winning” move in an example game and demonstrate how Python can be … Read more

💡 Problem Formulation: We aim to determine the winner in a game where two players take turns to break a row of objects. The breaking sequence must be contiguous, and the player unable to make a move loses. For example, given a row represented by a string of “X”s (e.g., “XXXXXX”), players alternate removing 1-3 … Read more

💡 Problem Formulation: You’re tasked with writing a Python program to determine the winner of a rower reducing game. Given an array representing the strength of each rower and the rule that a rower can only challenge its immediate neighbor, the program should output the last remaining rower as the winner. For example, given the … Read more

💡 Problem Formulation: Imagine a game where two players alternately remove elements from a set of numbers. The game ends when the set is empty, and the last person to remove an element is considered the winner. We want to create a Python program that efficiently determines which player, Player 1 or Player 2, will … Read more

💡 Problem Formulation: You’re tasked with coding a Python program to determine the winner in a number reducing game. In this game, two players take turns subtracting numbers from a starting value until they reach zero. The player who cannot make a move loses. For example, if the initial number is 21, and players can … Read more