maths-cube

39 posts

Represent Integer as sum of exactly X Powers of three. The powers can repeat

Last Updated: 26 September 2023

Given two integers N and X (1=N=X=1e9), the task is to find if it is possible to represent N as exactly X powers of 3.Examples:Input: N = 9, X = 5Output: Yes Explanation:...read more

Find N-th term in the series 0, 4, 18, 48, 100 ...

Last Updated: 06 December 2021

Given a series 0, 4, 18, 48, 100 . . . and an integer N, the task is to find the N-th term of the series.Examples:Input: N = 4Output: 48Explanation: As given in the sequen...read more

Check if a number can be represented as product of two positive perfect cubes

Last Updated: 23 July 2025

Given a positive integer N, the task is to check if the given number N can be represented as the product of two positive perfect cubes or not. If it is possible, then prin...read more

Check if digit cube limit of an integer arrives at fixed point or a limit cycle

Last Updated: 15 July 2025

Given an integer N, the task is to check if the Digit Cube limit of an integer arrives at a fixed point or in a limit cycle.A Digit Cube Limit is a number which repeatedly...read more

C Program to check whether a number is a Perfect Cube or not

Last Updated: 15 July 2025

Given a number N, the task is to write C program to check if the given number is perfect cube or not.Examples:Input: N = 216Output: YesExplanation:As 216 = 6*6*6.Therefore...read more

Check whether a number can be represented as difference of two consecutive cubes

Last Updated: 01 October 2023

Given a number N, the task is to check if the number N can be represented as the difference of two consecutive cubes or not. If Yes then print those numbers else print No....read more

Average of Cubes of first N natural numbers

Last Updated: 15 July 2025

Given a positive integer N, the task is to find the average of cubes of the first N natural numbers.Examples:Input: N = 2Output: 4.5Explanation:For integer N = 2,We have (...read more

DSA

maths-cube

Natural Numbers

Find the integral roots of a given Cubic equation

Last Updated: 15 July 2025

Given 5 integers say A, B, C, D, and E which represents the cubic equationf(x) = A*x^{3} + B*x^{2} + C*x + D = E, the task is to find the integral solution for this equati...read more

Minimum value of K such that sum of cubes of first K natural number is greater than equal to N

Last Updated: 15 July 2025

Given a number N, the task is to find the minimum value K such that the sum of cubes of the first K natural number is greater than or equal to N.Examples:Input: N = 100Out...read more

DSA

maths-cube

Natural Numbers

Construct an Array such that cube sum of all element is a perfect square

Last Updated: 05 September 2022

Given the size of array N, the task is to construct an array of size N with positive integer elements such that the cube sum of all elements of this array is a perfect squ...read more

Construct an Array of size N whose sum of cube of all elements is a perfect square

Last Updated: 15 July 2025

Given an integer N, the tasks is to construct a sorted array arr[] of size N, such that the sum of cube of all elements is a perfect square, i.e.\sum_{}A_i^3=X^2, where X ...read more

Sum of alternating sign cubes of first N Natural numbers

Last Updated: 12 July 2025

Given a number N, the task is to find the sum of alternating sign cubes of first N natural numbers, i.e.,13 - 23 + 33 - 43 + 53 - 63 + ....Examples:Input: N = 2Output: -7E...read more

Find Cube root of a number using Log function

Last Updated: 12 July 2025

Given the number N, the task is to find the cube root using the log function.Examples:Input: N = 8Output: 2.000000Input: N = 27Output: 3.000000Approach: To solve the probl...read more

DSA

maths-cube

root

Print N numbers such that their product is a Perfect Cube

Last Updated: 12 July 2025

Given a number N, the task is to find distinct N numbers such that their product is a perfect cube.Examples:Input: N = 3Output: 1, 8, 27Explanation:Product of the output n...read more

Check whether N can be a Perfect Cube after adding or subtracting K

Last Updated: 12 July 2025

Given two integers N and K, the task is to check whether N can be made a perfect cube after adding to or subtracting from K to or from it.Examples:Input: N = 7, K = 1Outpu...read more

Mathematical

DSA

maths-cube

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