A primorial prime is a prime number that can be expressed in the form pN# + 1 or pN# − 1, where pN# represents the primorial (product of the first N prime numbers). For example, if N=3, the primorial is 2×3×5 = 30, so 29 (30−1) and 31 (30+1) are potential primorial primes if they are also prime. Let's implement a solution to check if a given number is a primorial prime ? Algorithm Steps To solve this problem, we will − Use the Sieve of Eratosthenes to find all prime numbers up to a ... Read More
Bokeh is a Python package that helps in data visualization. It is an open source project that renders plots using HTML and JavaScript, making it useful for web-based dashboards. It helps in communicating quantitative insights to the audience effectively through interactive visualizations. Bokeh converts the data source into a JSON file, which is used as input to BokehJS, a JavaScript library written in TypeScript that renders visualizations on modern browsers. Unlike Matplotlib and Seaborn which produce static plots, Bokeh creates interactive plots that respond to user interactions. Installation Install Bokeh using pip or conda : ... Read More
In Python, it's common to have objects within objects, creating nested data structures. To access objects within objects, you can use the dot notation, which allows you to chain attribute access. Basic Object Composition Let's start with a simple example where a Person class contains an Address object ? class Person: def __init__(self, name, age): self.name = name self.age = age self.address = Address("123 Main St", "Anytown", "USA") ... Read More
Suppose we have a lowercase string s. We have to check whether the occurrences of alphabets in s, after rearranging in any possible manner, generates the Recaman's Sequence (ignoring the first term). The Recaman's sequence is defined as follows: a₀ = 0 aₙ = aₙ₋₁ - n (if aₙ₋₁ - n > 0 and not already present in sequence) aₙ = aₙ₋₁ + n (otherwise) Some of the items of Recaman's Sequence are [0, 1, 3, 6, 2, 7, 13, 20, 12, 21, 11, 22, 10, 23, 9, 24, ...]. The first term (0) is ... Read More
When working with two strings, we sometimes need to check whether the frequency of each character in one string is a factor or multiple of the frequency of the same character in another string. This means for each common character, one frequency should be divisible by the other. So, if the input is like s = "xxyzzw" and t = "yyyxxxxzz", then the output will be True because: Frequency of 'x' in s is 2, and in t is 4 (4 is multiple of 2) Frequency of 'y' in s is 1, and in t is 3 ... Read More
Sometimes we need to check if removing exactly one character from a string can make all remaining characters have equal frequencies. This problem tests our understanding of frequency counting and pattern matching. So, if the input is like s = "abbc", then the output will be True as we can delete one 'b' to get string "abc" where frequency of each character is 1. Approach To solve this, we will follow these steps ? Count frequency of all characters in the string Check if frequencies are already equal (removing any character would work) Try removing ... Read More
Bokeh is a Python package that helps in data visualization. It is an open source project that renders plots using HTML and JavaScript, making it useful for web-based dashboards. Bokeh converts the data source into a JSON file which is used as input to BokehJS, a JavaScript library written in TypeScript that renders visualizations on modern browsers. Unlike Matplotlib and Seaborn which produce static plots, Bokeh produces interactive plots that change when users interact with them. Plots can be embedded in Flask or Django web applications and rendered in Jupyter notebooks. Installation Install Bokeh using pip or ... Read More
Suppose we have a lowercase string s with only two characters a and b. We have to check whether every group of consecutive a's is followed by group of consecutive b's of equal length. So, if the input is like s = "abaaabbbaabbaabbab", then the output will be True, as all groups are (ab), (aaabbb), (aabb), (aabb), (ab). Algorithm To solve this, we will follow these steps − Initialize a_count to 0 and get the length of string s Set index i to 0 While i ... Read More
A linked list has elements in pairs when every element appears an even number of times. This problem can be efficiently solved using the XOR operation, which has a useful property: XORing identical numbers results in 0. Algorithm Explanation The XOR approach works because: XORing any number with itself gives 0 XOR is commutative, so order doesn't matter If all elements appear in pairs (even times), the final XOR result will be 0 If any element appears an odd number of times, the result will be non-zero Implementation Steps To solve this problem, we ... Read More
TensorFlow is a machine learning framework provided by Google. It is an open-source framework used with Python to implement algorithms, deep learning applications, and much more. It is used in research and production environments. TensorFlow has optimization techniques that help perform complicated mathematical operations quickly using NumPy and multi-dimensional arrays called tensors. The framework supports deep neural networks, is highly scalable, and comes with popular datasets. It uses GPU computation and automates resource management. The tensorflow package can be installed using the following command − pip install tensorflow Understanding Tensors A tensor is ... Read More
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