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Knight's Tour Checker
Given a matrix a, determine whether or not a legal <http://en.wikipedia.org/wiki/Knight's_tour knight's tour> is present. The kn...

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Given two arrays, find the maximum overlap
Given two arrays s1 and s2, create a new array s3 which is as short as possible and contains both arrays. If s1 = [1 2 3 4 5]...

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Calculate the Levenshtein distance between two strings
This problem description is lifted from http://en.wikipedia.org/wiki/Levenshtein_distance. The Levenshtein distance between two...

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Connect Four Win Checker
<http://en.wikipedia.org/wiki/Connect_Four Connect Four> is a game where you try to get four pieces in a row. For this problem, ...

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It dseon't mettar waht oedrr the lrettes in a wrod are.
An internet meme from 2003 (read more here) asserted that readers are relatively insensitive to letter order in words, so long a...

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Longest Divisor Run
Given the vector a, find the longest run of consecutive numbers that can be evenly divided by the same number d where d > 1. ...

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Read a column of numbers and interpolate missing data
Given an input cell array of strings s, pick out the second column and turn it into a row vector of data. Missing data will be i...

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Kaprekar Steps
6174 is the <http://en.wikipedia.org/wiki/6174_%28number%29 Kaprekar constant>. All natural numbers less than 10,000 (except som...

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Word Counting and Indexing
You are given a list of strings, each being a list of words divided by spaces. Break the strings into words, then return a maste...

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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...

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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...

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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...

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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...

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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...

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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...

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Encode Roman Numerals
Create a function taking a non-negative integer as its parameter and returning a string containing the Roman Numeral representat...

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Tic Tac Toe FTW
Given a tic tac toe board: * 1 represents X * 0 represents empty. * -1 represents O It is X's move. If there is an imme...

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Counting Sequence
Given a vector x, find the "counting sequence" y. A counting sequence is formed by "counting" the entries in a given sequence...

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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...

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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 ...

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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...

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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...

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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...

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What is the next step in Conway's Life?
Given a matrix A that represents the state of <http://en.wikipedia.org/wiki/Conway's_Game_of_Life Conway's game of Life> at one ...

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Subset Sum
Given a vector v of integers and an integer n, return the the indices of v (as a row vector in ascending order) that sum to n. I...

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Diophantine Equations (Inspired by Project Euler, problem 66)
Consider the quadratic Diophantine equation of the form: x^2 – Dy^2 = 1 When D=13, the minimal solution in x is 649^2 – 13...

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Construct a continued fraction for a square root

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