Howto

💡 Problem Formulation: The challenge addressed in this article is to identify the different sums for which a given array can be divided into several subarrays of equal sum. For example, given an input array [1, 2, 3, 4, 6], the desired output would be [6], as the array can be split into subarrays [1, … Read more

💡 Problem Formulation: When dealing with binary trees in Python, a common query is to determine whether the given binary tree satisfies the properties of a heap. A binary tree is a heap if it is complete and the nodes follow the heap property – the key present at the root is either greater than … Read more

💡 Problem Formulation: We aim to find the smallest difference between the maximum and minimum values where each value comes from one of three different sorted arrays. Given three lists l1, l2, and l3, the challenge is to find the smallest possible value of max(a, b, c) – min(a, b, c) where a, b, and … Read more

💡 Problem Formulation: Given a list of numbers and a reference value k, the objective is to find the smallest element in the list that is greater than k. For example, given the list [2, 3, 5, 8] and k = 4, the desired output would be 5 as it is the smallest number greater … Read more

💡 Problem Formulation: We aim to find and sum all the truncatable primes that are less than a given number, n. A truncatable prime is a prime number that remains prime when digits are truncated one at a time from either the left or right side. For instance, if n is 100, then the truncatable … Read more

💡 Problem Formulation: The challenge is to write a Python function that finds the smallest substring in a given string, which contains all the characters of another string. For example, given the string “ADOBECODEBANC” and the pattern “ABC”, the smallest window that contains all the characters (A, B, and C) is “BANC”. Method 1: Naive … Read more

💡 Problem Formulation: Imagine you are given an array of distinct positive integers. Your task is to identify the smallest positive integer that cannot be generated by summing any subset of the array’s elements. For example, if the input array is [1, 2, 3], the smallest positive integer that cannot be represented as a sum … Read more

💡 Problem Formulation: This article demonstrates how to calculate the probability of being in a specific state at a given time in a Markov chain using Python. Given a Markov transition matrix and an initial state distribution, we seek the probability distribution at a later time step. The input is a state transition matrix and … Read more

💡 Problem Formulation: Imagine a scenario where we have multiple boxes, and a ball is placed in one of them. The challenge is to determine the index position of the box containing the ball using Python. For example, given a list of boxes [“box1”, “box2”, “ball”, “box3”], we aim to find the position of the … Read more

💡 Problem Formulation: This article explores solutions for determining which player can first rearrange the characters of a given string to form a palindrome. A player wins if they can form a palindrome by swapping characters in the string. The input is a string, such as “mamad” and the expected output is the player number … Read more

💡 Problem Formulation: Given a matrix where only the largest elements in each row and column are known, the challenge is to reconstruct the original matrix. Assume you are given two arrays: one representing the largest values in each row, and the other for columns. For example, if the row array is [3, 5, 4] … Read more

💡 Problem Formulation: Given the first n natural numbers, we aim to determine how many of their subarrays have a median value of m. For example, if n = 5 and m = 3, we want to know how many subarrays of the numbers 1 through 5 have 3 as their median. The desired output … Read more