💡 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: 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: Complex numbers, used extensively in engineering and science, consist of a real part and an imaginary part. For example, 3 + 4i is a complex number with the real part being 3 and the imaginary part 4i. This article explores how to create a Python class that can handle complex numbers, allowing … Read more
💡 Problem Formulation: Prefix compression involves reducing two input strings to their common beginning, followed by the two unique remainders. Given strings ‘string1’ and ‘string2’, the goal is to identify the common prefix and output a tuple: (length_of_common_prefix, unique_part_of_string1, unique_part_of_string2). For example, for ‘interspecies’ and ‘interstellar’, the desired output would be (5, ‘species’, ‘stellar’). Method … Read more
💡 Problem Formulation: String compression is a common programming challenge where the goal is to reduce the size of a string by replacing consecutive repeats of characters with the character followed by the count of repeats. For instance, the input ‘aabcccccaaa’ should yield an output of ‘a2b1c5a3’. Method 1: Using Loops This method involves iterating … Read more
💡 Problem Formulation: The task is to create a Python program that can swap characters in a string pairwise. For example, given the input string “example”, the program should output “xemalpe”. Swapping pairwise means that each pair of adjacent characters is exchanged, which is a common task in string manipulation and coding challenges. Method 1: … Read more
💡 Problem Formulation: Imagine we have two strings, such as “abc” and “12345”. We want to combine these two into a single string where characters from each are alternated such as “a1b2c345”. If one string is longer than the other, the remaining characters are simply appended. This article will explore various methods for achieving this … Read more
Exploring Python: 5 Best Ways to Print a Number Triangle 💡 Problem Formulation: We need to create a Python program that outputs a pyramid-shaped structure of numbers, where each row contains an incrementing count of integers from 1 to that row number. Given an input ‘n’, which represents the number of rows, the program should … Read more
💡 Problem Formulation: This article tackles the task of rotating a string of size n to the left n times using Python. For instance, given the input string “Python” which has a size of 6, we want to rotate it 6 times to the left to achieve the output “Python”. Essentially, after rotating the string … Read more
💡 Problem Formulation: We aim to deduce the probability of obtaining the letter ‘a’ from a set of given letters when forming all possible combinations of a specified size (k). For instance, given the letters ‘aabbc’ and a combination length k=3, our goal is to calculate the likelihood of ‘a’ being included in these 3-letter … Read more
💡 Problem Formulation: We need to create a Python program to calculate the Fibonacci series up to the nth term, where n is a positive integer. The Fibonacci series is a sequence of numbers where each number after the first two is the sum of the two preceding ones. For instance, if the input is … Read more