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Greater than before
Given an array of integers, write a function that returns elements that are greater than the one before them. For instance, ...

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Intersect three sequences
Most numbers have interesting properties, if you look hard enough and interpret “interesting” liberally. Let’s choose a number a...

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Largest Small n-Polygons or Biggest Little Polygon
Largest Small n-Polygons or Biggest Little Polygon for a number n is the polygon that has diameter one and that has the largest ...

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Find the summation of factorial series
Factorial numbers are n! = 1*2*3....*n the series is 1!, 2!, 3!,........, n!

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What kind of triangle?
Write a function named check_triangle that receives three positive integers as input: a, b, and c. These three numbers are inte...

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Check if a Number is a Palindrome Without Converting to String
Write a function that checks if a given positive integer is a palindrome without converting the number to a string or using stri...

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Zero Out Negative Elements
Write a MATLAB function called zeroNegatives that takes a numeric vector v as input and returns a modified version where all neg...

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Find the closest e-abundant numbers
An abundant number is an integer whose sum of its positive proper divisors—or the sum of its divisors excluding itself—exceeds ...

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Matrix Diagonal Sum
Given a square matrix A of size n x n, write a function to compute the sum of the elements on both the main diagonal and the ant...

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Permuted Multiples: Project Euler Problem 52
Return the smallest positive integer, x, for which x, 2x, 3x, 4x, 5x, and 6x, all contain the same digits but in different order...

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List e-perfect numbers
A perfect number is an integer that equals the sum of its positive proper divisors—or the sum of its divisors excluding itself. ...

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Sum powers of e-divisors
In number theory the function produces the sum of divisors of an integer raised to the power . Setting sums the divisors, as ...

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Count the e-divisors of an integer
Cody Problem 2664 asks us to count the divisors of an integer, and Cody Problem 60843 involves listing the e-divisors of an inte...

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Determine the e-divisors of an integer
From MathWorld: is called an e-divisor (or exponential divisor) of a number with prime factorization if and where for...

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List the notes of a major scale
If you have seen The Sound of Music, then you are familiar with the major scale: do, re, mi, fa, sol, la, ti, do. The C major sc...

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Count Vowels at Even Indices
Write a function `vowelEvenIndices` that counts the number of vowels (a, e, i, o, u) located at even indices (0-based) in a give...

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4D Hypercube Validation with Prime-Indexed Symmetry and Modular Trace Constraints
Design a function that generates and validates a 4D hypercube matrix where: 1. Prime-Indexed Symmetry: Every 2D slice `A(i,j...

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Project Euler Problem 48: Self Powers
The series,. Return a string of the last ten digits of the series:. Hint: Use modular arithmetic! Spoiler: The solution is...

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Integer Division Without Remainder
Write a function that takes two positive integers, a and b, and returns the result of integer division (quotient) without remain...

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Bell 202 Decoder
Decode an audio frequency shift key stream at a certain baud-rate and sample rate into a binary stream of data using the Bell 20...

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Identify Similar Rows in a Matrix Based on Sequence of Non-zero Elements
In this problem, you are given a matrix of positive integers. Your task is to identify and return all rows in the matrix that ar...

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Diagonal of a Golden Rectangle
A golden rectangle has sides in the ratio 1:φ (phi), where φ is the golden ratio (approximately 1.618). Given the length of the ...

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"Identify and Replace Outliers in a Numeric Array"
Given a numeric array, identify outliers that are more than two standard deviations away from the mean and replace them with the...

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Compute the saturation concentration for dissolved oxygen in water
As organic matter from wastewater decomposes, it consumes oxygen, and an assessment of the effect of a wastewater discharge on t...

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Remove Duplicate Words from a Sentence.
Given a sentence, remove any duplicate words, leaving only the first occurrence of each word. The output sentence should have wo...

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Sum of Even Numbers in a Vector
Write a function that takes a vector x as input and returns the sum of all even numbers in x. Input: x = [1, 2, 3, 4, 5, 6] ...

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Calculate the Number of Moles
The number of moles of a substance is calculated using the formula: Mass (g) = Moles / Molar Mass (g/mol)​ Write a function ca...

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Remove Duplicate Words from a Sentence
Given a sentence as a string, remove all duplicate words while keeping their first occurrence and maintaining the original word ...

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Sum of Positive Elements in a Matrix
Given a matrix A, write a function that returns the sum of all positive elements in A. Input: A = [-3, 4, -1; 6, -2, 8] ...

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Matrix Rotation by 90 Degrees
In this problem, you are tasked with rotating a given matrix by 90 degrees in a counter-clockwise direction. The input will be a...

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