💡 Problem Formulation: We’re tackling the challenge of partitioning a given non-negative integer, represented as a string, into the minimum number of deci-binary numbers. A deci-binary number is one that, in each digit position, has a value of either 0 or 1. For instance, given the string ‘321’, we can partition it into ‘111’, ‘110’, … Read more

💡 Problem Formulation: The task is to determine whether a given integer can be expressed as the sum of unique powers of three. For instance, inputting the number 91 should yield a positive result since 91 = 3^0 + 3^2 + 3^4. Method 1: Iterative Approach This method involves iterating over the powers of three … Read more

💡 Problem Formulation: Consider a game where players pick stones with various weights, and the aim is to minimize the score difference between two players. Given a list of stone weights, our goal is to compute the minimum possible score difference once all stones have been picked. Input: An array of stone weights e.g., [5, … Read more

💡 Problem Formulation: We need to find the “beauty” of a substring, which is defined as the difference between the number of occurrences of the most frequent and least frequent characters. This article demonstrates five methods to calculate the sum of the beauty of all substrings of a given string in Python. For example, given … Read more

💡 Problem Formulation: We aim to solve the “maximum erasure value” problem, which involves finding the maximal sum of a contiguous subarray from a given list of positive integers, where all elements in the subarray are unique. For example, given the input [4, 2, 4, 5, 6], the desired output would be 17, corresponding to … Read more

💡 Problem Formulation: This article tackles the problem of identifying the minimum set of numbers that need to be selected from a given collection to achieve a certain target sum. Imagine having an array like [3, 1, 4, 2, 2] and you need to find the least amount of numbers that can be added together … Read more

💡 Problem Formulation: Jump Game is a popular problem where a player is given an array of non-negative integers, with each number representing the maximum length of the jump from that position. The challenge is to find the maximum score we can get, assuming each jump adds the value of the target index to the … Read more

💡 Problem Formulation: We aim to find paths from the first to the last node in a weighted graph, which meet certain restrictions. Specifically, a restricted path is one where any subsequent node has a distance to the destination node that is less than or equal to the previous node’s distance. Given a graph with … Read more

💡 Problem Formulation: In this article, we address the problem of counting distinct substrings within a given string using Python. For instance, given the input string “ababa”, the desired output is 10, as there are 10 distinct substrings: “a”, “ab”, “aba”, “abab”, “ababa”, “b”, “ba”, “bab”, “baba”, and “a”. Now let’s explore different methods to … Read more

💡 Problem Formulation: Given a star graph, which consists of one central node connected to several leaves, the task is to determine the center node of this graph. This problem is relevant in network topology and is often encountered in scenarios where a hub-and-spoke model is present. The input would be a graph represented as … Read more

💡 Problem Formulation: Calculating the average waiting time is a common issue in various fields such as computing, operations research, and customer service. The goal is to find the mean time that items or people spend waiting before being serviced. For example, given a list of individual waiting times like [3, 7, 2, 6], the … Read more

💡 Problem Formulation: We aim to solve the challenge of computing the maximum average pass ratio from a collection of statistics. The typical input would be a list of tuples, where each tuple represents a school’s pass and total student count, like [(20, 30), (50, 60), (45, 50)]. Our goal is to find the highest … Read more