Server Side Programming Articles

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Perfect Power (1, 4, 8, 9, 16, 25, 27, ...)

Eva Sharma
Eva Sharma
Updated on 10-Mar-2023 1K+ Views

A Perfect Power is a Natural Number that is the product of equal natural factors. It can also be defined as an integer that can be expressed as a square power or a higher power of another integer greater than one. For example, 4 can be expressed as the product of 2*2. 27 can be expressed as the product of 3*3*3. Hence, 4 and 27 are perfect powers. Problem Statement Given a number n, find the count of perfect numbers which are less than or equal to n. Example 1 Input = 14 Output = 3 Explanation 1 ...

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Legendre's Conjecture: Concept, Algorithm, Implementation in C++

Eva Sharma
Eva Sharma
Updated on 10-Mar-2023 380 Views

The Legendre’s Conjecture states that at least one prime number always exists between two consecutive natural numbers' squares. Mathematically, there is always a prime number p between any two numbers n2 and (n+1)2. n is a natural number. A conjecture means a conclusion that doesn't has mathematical proof. Hence, Legendre's Conjecture is just a statement with no mathematical proof. Problem Statement For a number n, print the number of primes in the range of n2 to (n+1)2 from 1 to n. Examples Input: 4 Output: For i = 1: Total primes in the range 1 and 4 = 2 ...

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Form a Number Using Corner Digits of Powers

Eva Sharma
Eva Sharma
Updated on 10-Mar-2023 218 Views

What are Corner digits? The corner digits of a number refer to the rightmost and the leftmost digits. For example, the corner digits of 1234 are 1 and 4. The corner digits of a single-digit number will be the number twice. For example, the corner digits of 2 will be 2 and 2. Problem Statement For given two numbers, n, and x, form a number using the corner digits of all the powers of n from 1 and x, i.e., n1, n2....nx. Examples Input: n = 2, x = 4 Output: 22448816 Explanation 21 = 2. Corner digits = ...

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Decimal Equivalent of Gray Code and Its Inverse

Eva Sharma
Eva Sharma
Updated on 10-Mar-2023 2K+ Views

Gray code or reflected binary code is a form of a binary representation of numbers in which two consecutive numbers only differ by one bit. For example, the gray code of 1 is 001, while the gray code of 2 is 011. Gray code is usually used in error correction because it prevents some data errors that can happen in the usual binary representations while state changes. Gray code is also helpful in k-maps, communication, etc., because of its unique property. Prerequisite Study decimal, binary and gray code notations before reading further. Problem Statement 1 Given a decimal number n, ...

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Cube Free Numbers smaller than n

Eva Sharma
Eva Sharma
Updated on 10-Mar-2023 488 Views

Cube-free numbers are those numbers that have no cubic divisors. A cubic divisor refers to an integer that is a cube and divides the number with zero remainders. For example, 8 is a cubic divisor of 16 since 8 is a cube of 2 (2*2*2 = 8), and 8 divides 16 with the remainder of zero. Thus, 8 and 16 both are not cube-free numbers. Problem Statement Find all the cube-free numbers less than a given number, n. Example Let's understand the problem with an example. Let n = 15, Thus, we have to find all the numbers less than ...

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Square pyramidal number (Sum of Squares)

Eva Sharma
Eva Sharma
Updated on 10-Mar-2023 469 Views

A Square Pyramidal Number means the Sum of the Square of Natural Numbers. Natural Numbers include all the numbers from 1 to infinity. For example, the first 4 Square pyramidal numbers are 1, 5, 14, 30. For better perception, consider the fact: If we take spheres of numbers equal to the square pyramidal numbers, starting from one, and stack them in descending order, they create a pyramid. Problem Statement Given a number Sum. If Sum is the sum of the squares of first “n” natural numbers, return n, otherwise return false. Example 1 Input = 30 Output = 4 ...

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Haskell Program to calculate the value from the given fraction and exponent

Akhil Sharma
Akhil Sharma
Updated on 01-Mar-2023 337 Views

This haskell tutorial will help us in calculating the value from the given fraction and exponent of a number. To find this, the input is taken as fraction and exponent, and its corresponding value is computed. Algorithm Step 1 − The “Data.Ratio” is imported to work over fractions. Step 2 − The calculateValue function is defined Step 3 − Program execution will be started from main function. The main() function has whole control of the program. It is written as main = do. Step 4 − The variables named, “fraction” and “exponent” are initialized. ...

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Golang program to include a module inside the class

Akhil Sharma
Akhil Sharma
Updated on 01-Mar-2023 209 Views

In Go programming language, a new module is initiated using init command after which we can import other modules in our code. There is no concept of class in Go, only structs are used. In this article, we will use one example to include a module inside the class. In this example, we will create a Circle struct whose area will be printed on the console. For this example, we will import math and fmt packages outside the struct but they can be used anywhere. The print statement is executed using Printf function from the fmt package. Algorithm Import ...

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Golang program to create a block using curly braces

Akhil Sharma
Akhil Sharma
Updated on 01-Mar-2023 784 Views

We can create a block in golang using curly braces and then create a variable inside the block to have the scope only inside the block and not outside it. In this article, we will use three examples to create a block using curly braces. In the first example few statements will be printed inside and outside the block, in the second example comparison value will be printed inside the block and in the third example function will be used to demonstrate the use of block. Algorithm Import the required packages in the program Create a main function In ...

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Golang program to convert the hash collection into string

Akhil Sharma
Akhil Sharma
Updated on 01-Mar-2023 976 Views

Golang has json package that is used for converting the hask collection into strin. A hashmap belongs to hash collection which stores the data as key:value pairs, whereas a string is a sequence of characters and it is immutable. In this article, we will use two examples to convert the hash collection into string. In the first example, the Json package will be used to convert the map to encoded byte array whereas in the second example sort package will be use along the loops. Syntax json.Marshal() This function belongs to the JSON package and it converts the value ...

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