Emily Rosemary Collins

💡 Problem Formulation: Imagine you are given a set of note exchange rules structured as pairs of (note_i, note_j, time) meaning you can exchange note_i for note_j after a certain time has elapsed. The goal is to find the minimum time required to exchange a specific note for another if possible. For example, given input … Read more

💡 Problem Formulation: This article demonstrates how to calculate the probability of being in a specific state at a given time in a Markov chain using Python. Given a Markov transition matrix and an initial state distribution, we seek the probability distribution at a later time step. The input is a state transition matrix and … Read more

💡 Problem Formulation: Determining the number of distinct islands in a 2D matrix is a common problem in algorithmic tasks and coding challenges. An island is defined as a group of connected 1s (vertically or horizontally) surrounded by 0s. Distinct islands are uniquely shaped groups of connected 1s. This article demonstrates how to compute the … Read more

💡 Problem Formulation: We want to determine the count of consecutive zeros that are present at the end of the result when multiple numbers are multiplied together in Python. This is a common problem in mathematics and computing, often related to prime factors. For example, if given an array [2, 5, 10], the multiplication result … Read more

💡 Problem Formulation: In graph theory, a common problem is to determine the number of unique pairs of vertices in a tree that are separated by a specific distance, ‘k’. Given a tree represented as a set of edges and a non-negative integer ‘k’, the task is to compute the number of distinct pairs of … Read more

💡 Problem Formulation: Given a matrix where only the largest elements in each row and column are known, the challenge is to reconstruct the original matrix. Assume you are given two arrays: one representing the largest values in each row, and the other for columns. For example, if the row array is [3, 5, 4] … Read more

💡 Problem Formulation: In many instances, we encounter problems where we need to find the missing value in a simple algebraic equation like a + b = c. For example, given the values a = 3 and c = 7, we want to solve for the unknown b. The desired output in this case is … Read more

💡 Problem Formulation: Given a list of numbers and a reference value k, the objective is to find the smallest element in the list that is greater than k. For example, given the list [2, 3, 5, 8] and k = 4, the desired output would be 5 as it is the smallest number greater … Read more

💡 Problem Formulation: Imagine you are given an array of distinct positive integers. Your task is to identify the smallest positive integer that cannot be generated by summing any subset of the array’s elements. For example, if the input array is [1, 2, 3], the smallest positive integer that cannot be represented as a sum … Read more

💡 Problem Formulation: Accurately determining the number of stadium spectators at any given moment can be quite critical for various reasons, including safety, catering, and crowd management. Python can provide multiple solutions to estimate or calculate this figure based on various inputs such as ticket data, sensor readings, or visual data analysis. For example, one … Read more

💡 Problem Formulation: Imagine a scenario where we have multiple boxes, and a ball is placed in one of them. The challenge is to determine the index position of the box containing the ball using Python. For example, given a list of boxes [“box1”, “box2”, “ball”, “box3”], we aim to find the position of the … Read more

💡 Problem Formulation: We aim to find and sum all the truncatable primes that are less than a given number, n. A truncatable prime is a prime number that remains prime when digits are truncated one at a time from either the left or right side. For instance, if n is 100, then the truncatable … Read more