💡 Problem Formulation: In combinatorial mathematics, a common problem is to find all subsets of a given set of integers whose sum is equal to a specific target number k. Given an array of positive integers, and a target value k, the task is to count the number of subsets whose sum equals k. For … Read more
💡 Problem Formulation: The task is to write a Python program to find the nearest number to a given number, ‘n’, such that all digits in the resulting number are odd. For instance, if the input ‘n’ is 23, the nearest numbers with all odd digits would be 21 and 25; however, the closest is … Read more
💡 Problem Formulation: Determining whether a given point resides within or on the boundary of a polygon can be essential for geometric computations in Python. For instance, given a point with coordinates (x,y) and a polygon defined by a list of vertices [(x1,y1), (x2,y2), …, (xn,yn)], the objective is to develop a program that returns … Read more
💡 Problem Formulation: Given a list of integers and a number ‘k’, the challenge is to remove ‘k’ elements from the list such that the maximum difference between adjacent values in the remaining list is maximized. For example, given the list [2, 5, 4, 6, 3] and k=2, the optimal deletion would result in [2, … Read more
💡 Problem Formulation: Finding the length of the longest circular increasing subsequence is a twist on the classic Longest Increasing Subsequence (LIS) problem. In this variant, the sequence is considered circular, meaning the end connects back to the beginning, potentially forming an increasing sequence that wraps around. For example, given the input array [2, 0, … Read more
💡 Problem Formulation: You’ve got a list of assignments each with specific credits and deadlines, but limited time to complete them. The challenge is to find the most optimal set of assignments you can finish to maximize the total credit earned. For example, given assignments with credits and deadlines, the goal is to select the … Read more
💡 Problem Formulation: We need to determine the number of ways to choose empty cells from a given matrix in Python. For example, given the matrix where ‘X’ represents an occupied cell and ‘.’ represents an empty one, such as [[‘X’, ‘.’, ‘.’], [‘.’, ‘X’, ‘.’], [‘.’, ‘.’, ‘X’]], we want to find how many … Read more
💡 Problem Formulation: The task is to compute the minimum number of buses an individual must take to reach a final destination. Given an origin, destination, and available bus routes, the goal is to find the number with the least transfers. For example, if the input specified bus routes and their respective stops, the desired … Read more
💡 Problem Formulation: Python users often rely on built-in functions like eval() for evaluating mathematical expressions. However, sometimes, you may need to implement an expression evaluator without these conveniences—either for educational purposes or to satisfy certain constraints. For example, you might have the input string “3 + 2 * 2” and want to output the … Read more
💡 Problem Formulation: Investors are often faced with the challenge of maximizing profit through a limited number of buy and sell transactions. Given an array representing the price of a stock on different days and an integer k, representing the maximum number of transactions allowed (buy and sell constituting one transaction), this article explores Python … Read more
💡 Problem Formulation: Imagine you are given an array where each element represents the cost at that position, and you are required to find the minimum cost to reach the last index starting from the first index. However, you may take at most k steps from your current position to advance. For example, with input … Read more
💡 Problem Formulation: In trading, investors often aim to buy low and sell high. But what if you could only execute two transactions? This article explores algorithms to maximize profit from buying and selling stocks exactly twice. Suppose we have stock prices [3, 3, 5, 0, 0, 3, 1, 4]. The goal is to determine … Read more