Python

💡 Problem Formulation: Given a binary array, the task is to find which zero could be flipped to turn into a one so that the array forms the longest sequence of continuous ones. For example, for the input array [1, 0, 1, 1, 0], replacing the zero at index 1 or index 4 would yield … Read more

💡 Problem Formulation: The task is to determine the index i at which a prefix of one string s1 and the suffix of another string s2 will form a palindrome when concatenated. The goal is to efficiently find all such indices that satisfy this condition. For example, given s1 = “abaxy” and s2 = “yxba”, … Read more

💡 Problem Formulation: Given a graph, a source vertex, and a positive integer ‘k’, the goal is to determine whether there exists a path originating from the source vertex with a length greater than ‘k’. For instance, given a graph represented as an adjacency list, a source vertex ‘A’, and a path length ‘k=3’, the … Read more

💡 Problem Formulation: You’ve got a collection of cups of different sizes and a set of shelves. The challenge is to write a Python program that can determine if there’s a way to arrange all cups neatly on the shelves without any overhang. Input would be a list of cup sizes (for example, radii) and … Read more

💡 Problem Formulation: The challenge is to determine if a particular ratio of cost to quantity can be achieved within specified ranges for each. For instance, given a cost range from $25 to $50 and a quantity range from 100 to 200 units, we want to know if a desired cost-to-quantity ratio, like 1:4, is … Read more

💡 Problem Formulation: When working with binary trees in Python, a common challenge is determining if the nodes at a given vertical level form a sorted sequence. This could be critical in algorithms where vertical levels reflect certain attributes that need ordering. For instance, if a binary tree represents a family hierarchy, verifying that the … Read more

💡 Problem Formulation: In graph theory, an independent set (or stable set) is a set of vertices in a graph, none of which are adjacent. The problem discussed in this article revolves around determining whether an undirected graph contains an independent set of a specific size. For example, given a graph represented as an adjacency … Read more

💡 Problem Formulation: Given a starting point on the Cartesian plane, the task is to compute the coordinates of four points that form a square with sides parallel to the x and y axes. As an input, we take a coordinate representing the bottom-left corner of the square and the length of a side. The … Read more

💡 Problem Formulation: We encounter a problem where we need to find missing numbers in a sequence from 1 to n. Consider an array of integers with a length that’s exactly four less than n. The array is supposed to contain a sequence of numbers from 1 to n, but four numbers are missing. Our … Read more

💡 Problem Formulation: The challenge is to find the most frequently occurring number in an array without using additional memory, achieving this in linear O(N) time complexity. Given an array such as [3, 2, 3, 2, 3], we seek to return the value 3 as it appears most frequently. Method 1: Modify and Check This … Read more

💡 Problem Formulation: We want to determine the maximum number of composite numbers that can add up to a given integer. For instance, if the input is 10, a possible output is 2, representing the summands 4 and 6, which are both composite numbers. Method 1: Iterative Approach An iterative approach methodically checks for the … Read more

💡 Problem Formulation: Our task is to determine the farthest possible distance one can travel using a collection of n bikes, where each bike can travel a specific maximum distance before it fails. This is particularly crucial when attempting a set distance with varied bike endurance levels. Input may include an array or list [d1, … Read more