# Stéphane Vaillant

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Proper Factors

Generate the proper factors of input integer _x_ and return them in ascending order. For more information on proper factors, ref...

7 months ago

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Multiples of a Number in a Given Range

Given an integer factor _f_ and a range defined by _xlow_ and _xhigh_ inclusive, return a vector of the multiples of _f_ that fa...

7 months ago

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Get all prime factors

List the prime factors for the input number, in decreasing order. List each factor. If the prime factor occurs twice, list it as...

7 months ago

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Smith numbers

Return true if the input is a Smith number in base ten. Otherwise, return false. Read about Smith numbers at <http://en.wikipedi...

7 months ago

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Factorize THIS, buddy

List the prime factors for the input number, in decreasing order. List each factor only once, even if the factorization includes...

7 months ago

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Prime factor digits

Consider the following number system. Calculate the prime factorization for each number n, then represent the prime factors in a...

7 months ago

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Radial Zernike polynomials

Given an integer _n_ ≥ 0 and an integer _m_ ≥ 0, generate the <http://en.wikipedia.org/wiki/Zernike_polynomials radial Zer...

7 months ago

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Test for balanced parentheses

Given the input inStr, give the boolean output out indicating whether all the parentheses are balanced. Examples: * If ...

7 months ago

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Summing digits

Given n, find the sum of the digits that make up 2^n. Example: Input n = 7 Output b = 11 since 2^7 = 128, and 1 + ...

7 months ago

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Who Has the Most Change?

You have a matrix for which each row is a person and the columns represent the number of quarters, nickels, dimes, and pennies t...

7 months ago

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Determine if input is odd

Given the input n, return true if n is odd or false if n is even.

7 months ago

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Rosenbrock's Banana Function and its derivatives

Write a function to return the value of <http://en.wikipedia.org/wiki/Rosenbrock_function Rosenbrock's two-dimensional banana fu...

7 months ago

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Generalized Laguerre polynomials

Given an integer _n_ ≥ 0 and a scalar _a_, generate the _n_-th <http://en.wikipedia.org/wiki/Laguerre_polynomials#Generalized...

7 months ago

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Calculate Euler's phi function

Compute the Euler's phi function of a large integer. For more information about this topic please visit: <https://en.wikiped...

7 months ago

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Legendre polynomials

Given an integer _n_ ≥ 0, generate the _n_-th <http://en.wikipedia.org/wiki/Legendre_polynomials Legendre polynomial>. *Ex...

7 months ago

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Laguerre polynomials

Given an integer _n_ ≥ 0, generate the _n_-th <http://en.wikipedia.org/wiki/Laguerre_polynomials Laguerre polynomial>. *Ex...

7 months ago

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Chebyshev polynomials of the 2nd Kind

Given an integer _n_ ≥ 0, generate the _n_-th <http://en.wikipedia.org/wiki/Chebyshev_polynomials Chebyshev polynomial of the...

7 months ago

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Chebyshev polynomials of the 1st Kind

Given an integer _n_ ≥ 0, generate the _n_-th <http://en.wikipedia.org/wiki/Chebyshev_polynomials Chebyshev polynomial of the...

7 months ago

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Hermite Polynomials

Return the _n_-th <http://en.wikipedia.org/wiki/Hermite_polynomials Hermite polynomial> of the physicists' type. Assume that ...

7 months ago

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Ackermann's Function

Ackermann's Function is a recursive function that is not 'primitive recursive.' <http://en.wikipedia.org/wiki/Ackermann_fun...

7 months ago

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Kepler's Equation

Solve <http://en.wikipedia.org/wiki/Kepler's_equation Kepler's Equation>. Note that the solution is rounded down to 5 decima...

7 months ago

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Project Euler: Problem 4, Palindromic numbers

A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 ...

7 months ago

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Project Euler: Problem 8, Find largest product in a large string of numbers

Find the greatest product of five consecutive digits in an n-digit number. 73167176531330624919225119674426574742355349194934...

7 months ago

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Project Euler: Problem 10, Sum of Primes

The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17. Find the sum of all the primes below the input, N. Thank you <http:/...

7 months ago

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Project Euler: Problem 9, Pythagorean numbers

A Pythagorean triplet is a set of three natural numbers, a b c, for which, a^2 + b^2 = c^2 For example, 3^2 + 4^2 =...

7 months ago

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Project Euler: Problem 6, Natural numbers, squares and sums.

The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ...

7 months ago

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Project Euler: Problem 7, Nth prime

By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. What is the Nth prime nu...

7 months ago

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Project Euler: Problem 5, Smallest multiple

2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. What is the smalle...

7 months ago

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Project Euler: Problem 3, Largest prime factor

The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number being input, input might be ui...

7 months ago

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Project Euler: Problem 1, Multiples of 3 and 5

If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23...

7 months ago