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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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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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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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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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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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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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Is this number Munchhausen?
In this problem, simply return 1 if a supplied number is Munchhausen or 0 if not. Example 153 is narcissistic but not a Munchh...

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Sum of Even Fibonacci Numbers
Description: The Fibonacci sequence is defined as follows:F(1)=1,F(2)=1,F(n)=F(n−1)+F(n−2) for n>2 Write a function that compu...

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Implement Shor's algorithm
Shor's algorithm, proposed in 1994 by Peter Shor, is an algorithm for factoring numbers that runs in polynomial time (polynomial...

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Construct the number counts sequence
A sequence is constructed in the following way. The zeroth term is 1, and the next terms are determined by counting the number i...

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List the first of three consecutive square-free numbers
The numbers 13, 14, and 15 are consecutive, of course, but they also share the property of being square-free. That is, each numb...

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Convert integers from primary notation to base 10
The primary system of expressing numbers has three digits: m, x, and p, which correspond to -1, 0, and 1. The places in a primar...

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Count the primes resulting from changing one digit of a number
If you start with the number 24 and seek primes by changing a single digit, you can find two: 23 and 29. If you start with 130, ...

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Solve an easy binary puzzle
A binary puzzle presents a square grid (or matrix) of cells in which each cell must be 0 or 1. The finished puzzle must follow t...

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Convert integers from base 10 to proper primary notation
This problem is the companion to Cody Problem 60782. The proper primary system of expressing numbers has three digits: m, x, and...

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Indicate how the Prague astronomical clock strikes the hours
The astronomical clock in Prague has a bell that rings 1, 2, 3, or 4 times. The number of strokes follows the sequence 123432123...

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Play Hocus Focus
The card game Hocus Focus starts by placing twelve cards with wizards face up on a table. The characteristics of the wizards tha...

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Express integers in negabinary
Negabinary numbers are written in base -2. For example, the negabinary number 11010 is , or 6 in base 10. In a similar way, -3 i...

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Reverse Boggle
Description In the classic Parker Brothers game Boggle, players find words from a 4x4 game board of letters. This exercise is t...

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Complete hydraulic geometry relations
Hydraulic geometry relations express the velocity , width , and depth of a river as a function of the discharge (or flow) , whi...

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Identify de Polignac numbers
The numbers 125 and 329 can be written as the sum of a prime and a power of 2. For example, , and . The numbers 127 and 331, whi...

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Goldbach's marginal conjecture - Write integer as sum of three primes
Goldbach's strong conjecture states that every even integer greater than 2 can be expressed as the sum of two primes. For exampl...

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Lah Numbers
Create a square lower diagonal matrix containing the first n Lah number coefficients. In mathematics, the Lah numbers are coeffi...

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