Emily Rosemary Collins

💡 Problem Formulation: Given a positive integer n, the task is to find the number of distinct Binary Search Trees (BSTs) that can be created using n distinct nodes. Each node contains a unique key. An example input could be n = 3, and the desired output would be 5, as there are five structurally … Read more

💡 Problem Formulation: In computational geometry, verifying whether a set of points forms a convex hull is a common task. This involves checking if all the points in a given set are either on the boundary of the convex hull or inside it. The input is typically an array of points in the 2D plane, … Read more

💡 Problem Formulation: Determining the shape of a polygon can be a key task in geometry processing. Specifically, for a set of points, we aim to verify whether they form a concave polygon. A polygon is concave if at least one of its interior angles is greater than 180 degrees. Given the coordinates of the … Read more

💡 Problem Formulation: The task is to calculate the “super digit” of a given number. In mathematics, the super digit of a number is the single-digit result obtained by recursively summing the digits until only one digit remains. For example, if the input is 9875, the super digit is 2 because 9+8+7+5 = 29 and … Read more

💡 Problem Formulation: Ensuring data integrity is crucial when dealing with postal addresses as part of a larger system, like e-commerce platforms or location-based services. The objective is to verify if a given string conforms to a standard postal address format. For example, an input of “12345” should be validated against a known postal code … Read more

💡 Problem Formulation: Given two lists of numbers, the task is to write a Python program to identify the numbers that are in one list but not the other. It’s a common comparison problem that could arise in data analysis or during coding competitions. For example, if List A = [1, 2, 3, 4] and … Read more

💡 Problem Formulation: Calculating the number of ways to sum a given set of coin denominates to a total of N rupees is a common problem in both computer science and practical scenarios. Imagine you have coins of 1, 5, 10 rupee denominations, and you want to know in how many ways you can combine … Read more

💡 Problem Formulation: You’ve got a list of words and you want to calculate a score for each word based on a certain criterion. For example, one common scoring system assigns a point value to each letter (e.g., a=1, b=2, …, z=26) and sums them to get the total word score. Given an input list … Read more

💡 Problem Formulation: When working with strings in Python, you might encounter situations where a string contains duplicate characters that you want to remove. For example, given the input string “aabbccdef”, you would want to remove the duplicates to get the output string “abcdef”. Method 1: Using a For Loop This method involves iterating over … Read more

💡 Problem Formulation: Validating a credit card number is essential to ensuring it follows the industry-standard format before processing transactions. This article provides Python programmers with methods to verify if a credit card number is valid or not. We will explore various algorithms and techniques, aiming to receive a credit card number as input and … Read more

💡 Problem Formulation: In this article, we address the problem of counting pairs of consecutive elements in a Python list. Specifically, given a list of integers, the goal is to find the number of pairs where two adjacent elements are equal. For example, in the list [1, 2, 2, 3, 4, 4, 4], there are … Read more

💡 Problem Formulation: Given a text input, the goal is to develop a Python program that can count the number of distinct words and determine the frequency of each word. Imagine processing the string “apple orange banana apple apple banana”. The desired output would list ‘apple’ with a frequency of 3, ‘orange’ with a frequency … Read more