💡 Problem Formulation: Imagine you have an e-commerce platform and you want to determine the number of additional 5-star reviews needed to achieve a target average rating. Given the current number of 5-star reviews and the total reviews along with the desired threshold percentage, the goal is to calculate the minimum additional 5-star reviews required. … Read more
💡 Problem Formulation: The task is to count the occurrences of substring patterns within a given string or set of strings based on varied queries. For instance, if given the string ‘ababa’ and queries like ‘aba’ or ‘bab’, the program would output the counts of these substrings in the original string – which would be … Read more
💡 Problem Formulation: In programming challenges, you may encounter scenarios where you are given two strings containing lowercase alphabetic characters, and you’re required to merge them into the lexicographically smallest string possible. For example, given “ace” and “bdf”, the optimal output would be “abcdef”. This article explores five diverse methods to solve this problem using … Read more
💡 Problem Formulation: In computational problems related to pathfinding or optimization, one might need to determine the minimum number of steps required to reach a destination point when there are varying step sizes. In this article, we solve the problem of finding the optimal number of steps to reach a destination using a combination of … Read more
💡 Problem Formulation: Sorting an array is a fundamental task in programming. Specifically, we are interested in the process of sorting an array using insertion sort algorithm in Python, where we quantify the efficiency of sorting by counting the number of shifts performed. For an unsorted array like [4, 3, 2, 1], we aim to … Read more
💡 Problem Formulation: When dealing with binary data, a common problem is to verify whether all occurrences of the digit ‘1’ are consecutive. In Python, there are various ways to approach this problem. For instance, given the input ‘00111110010’, the desired output is False because not all ‘1’s are adjacent. However, for the input ‘00011111000’, … Read more
💡 Problem Formulation: Python users frequently require the ability to save 3D visualizations generated with plotting libraries into a PDF format with embedded interactivity (3D PDF). This article aims to provide methods for converting a 3D plot into a fully interactive PDF file, where the input is a 3D plot object, and the desired output … Read more
💡 Problem Formulation: The task is to identify the missing term from an incomplete arithmetic sequence. Suppose you have a list representing an arithmetic sequence with one term removed, the goal is to write a Python program that can find and return this missing number. For instance, if given [3, 7, 11, 19], with a … Read more
💡 Problem Formulation: In data analysis, it’s not uncommon to work with two time series that have different date or time spacings. For instance, one might have daily temperature readings while another contains monthly economic indices. The challenge lies in graphing these time series together on one plot for comparison while maintaining the integrity of … Read more
💡 Problem Formulation: Imagine needing to find the shortest distance of a specified character ‘c’ from every index in a given string. For example, given the input string “algorithm” and the character ‘a’, the desired output would be a list [0,1,2,3,4,5,6,7,8], representing the distance from ‘a’ at each index. Method 1: Brute Force Search This … Read more
💡 Problem Formulation: When visualizing data, highlighting the area under a curve can significantly help to emphasize the difference between the curve and a baseline, such as the x-axis. In Python’s Matplotlib library, there are several methods to accomplish this. For example, given a set of data points that form a curve, the desired output … Read more
💡 Problem Formulation: Consider there are two spheres in a 3D environment, each with their initial positions and velocities. The question arises: given the possibility to adjust their accelerations, can we determine if these two spheres will ever meet or cross paths at any point in time? The input comprises the start positions, velocities, and … Read more