💡 Problem Formulation: A mountain array is an array of integers where numbers first ascend to a peak value and then descend. It’s not a mountain array if it doesn’t start with an ascent and immediately descend after a single peak or if the climb or descent is missing altogether. For instance, the array [1, … Read more

💡 Problem Formulation: How do you verify if a certain pattern or substring exists within a larger string in Python? For instance, checking if the string “cat” is present within the sentence “The black cat jumped over the lazy dog.” The desired output would be a confirmation that the substring “cat” does indeed occur within … Read more

💡 Problem Formulation: Given a 2D dataset in Python, we may encounter the requirement to delete columns to ensure that each row of the resulting dataset remains sorted. Consider having a matrix [[3, 2, 3], [0, 1, 4], [1, 5, 6]]. The goal is to remove the minimum number of columns such that the rows … Read more

💡 Problem Formulation: In Python, working with integers that power up your computations can be both necessary and challenging. One common task is finding integers that can be expressed as x raised to the power of y, where x and y are also integers. For example, given an integer like 8, the desired output would … Read more

💡 Problem Formulation: In computational geometry, a common task is to determine the largest perimeter of a triangle that can be formed from a given list of sticks, where each stick represents a side length. The goal is to find a combination of three side lengths that not only forms a valid triangle (where the … Read more

💡 Problem Formulation: Determining whether binary strings start with prefixes that are divisible by 5 can be a complex task. For instance, given the input binary string “1001”, its prefixes “1”, “10”, “100”, “1001” are converted to integers and checked for divisibility by 5. The desired output should indicate which prefixes satisfy this condition. Method … Read more

💡 Problem Formulation: When working with sets of file paths, a common requirement is to find the longest common prefix that represents the shared directory structure. To illustrate, given a list of file paths like [“/home/user/project/src/main.py”, “/home/user/project/src/utils.py”, “/home/user/project/README.md”], we aim to extract the longest common path, which, in this case, is “/home/user/project”. Method 1: Using … Read more

💡 Problem Formulation: In geometry, two triangles are considered congruent if their corresponding sides and angles are equal. Our goal is to write a program to verify if a pair of triangles is congruent based upon given side lengths (and possibly angles). For instance, if Triangle A has sides of lengths 3, 4, 5 and … Read more

💡 Problem Formulation: In Python, you may often need to extract a portion of a list up to a certain element index, known as a sublist. The typical use case involves having a list, for example [‘apple’, ‘banana’, ‘cherry’, ‘date’], and wanting to obtain a new list that only includes elements up to a certain … Read more

💡 Problem Formulation: You have a list of words, and your goal is to group the words that are anagrams of one another. An anagram is a word or phrase that can be formed by rearranging the letters of a different word or phrase, typically using all the original letters exactly once. For instance, the … Read more

💡 Problem Formulation: When working with multiple lists in Python, a common task is to group elements based on their positions, forming tuples with elements from the same index across lists. Given input lists like [1, 2, 3] and [‘a’, ‘b’, ‘c’], the desired output would be a list of tuples [(1, ‘a’), (2, ‘b’), … Read more

💡 Problem Formulation: In Python, a common need is to organize a list of tuples based on shared first elements. The goal is to transform an input like [(1, ‘a’), (2, ‘b’), (1, ‘c’), (2, ‘d’)] into a structure where tuples with the same first element are grouped together, such as [(1, ‘a’, ‘c’), (2, … Read more