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Thomas Lichtenegger


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Recurring Cycle Length (Inspired by Project Euler Problem 26)
Preface: This problem is inspired by Project Euler Problem 26 and uses text from that question to explain what a recurring cycle...

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Create a patchwork matrix
This function will assemble a large matrix out of a number of smaller ones m1, m2, etc., according to a pattern P. If P is 3x5,...

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Symmetric matrix
You must create a n-by-n *symmetric* matrix such that A(row,col) = row/col for col >= row. Example if n =3 : output is : ...

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Create a matrix X, where each column is a shifted copy of the vector v
Example : in->v = (1:5)'; 1 2 3 4 5 out-> [1 5 4 3 2;2 1 5 4 3;3 2 1 5 4;4 3 2 1 5;5 4 3 ...

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Create a Multiplication table matrix...
Create a product table in this format: P = [ 1 2 3 4 5; 2 4 6 8 10; 3 6 9 12 15; 4 8 12 1...

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Mirror Image matrix across anti-diagonal
Given an input number x, create a mirror image matrix 'Y' across the anti-diagonal. For example, if x=3, Y = [1 2 3; ...

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"mirror" matrix
Create n x 2n "mirror" matrix of this type: Examples For n = 2 m = [ 1 2 2 1 1 2 2 1 ] For n = 3 m = ...

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Make a Star Pyramid
Create a star pyramid. First line will have 1 star, second will have two stars and so on... a basic program which is easily done...

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Special matrix
Make a square matrix with this shape. For n=4 M = 1 1 0 0 1 0 1 0 0 1 0 ...

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Spot the rectangle (Part 2)
This problem is related to the 17x17 challenge. See also Part 1 of this problem. Given a matrix in which each element is either ...

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Spot the rectangle
This problem is related to the 17x17 challenge. Given a matrix filled with ones and zeros, determine whether or not any rectangl...

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Pascal's Matrix
Given an integer n &ge; 0, generate the ( _n_+1) &times; ( _n_+1) lower triangular <http://en.wikipedia.org/wiki/Pascal_matrix P...

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Find the gcm of n given values
Create a function that given n integer values greater than zero, finds the two numbers with the greatest common divisor and retu...

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Convert integer to base26 using letters
Write a function that converts a decimal integer to base26 using the letters of the english alphabet, i.e. 0->'a', 1->'b', 2->'c...

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Number of digits in an integer
Specifies how many digits in a given integer. Example: in=100 ==> out=3

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Test if two numbers have the same digits
Given two integers _x1_ and _x2_, return |true| if the numbers written with no leading zeros contain the same digits. That is, t...

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Is it really a 5?
A number containing at least one five will be passed to your function, which must return true or false depending upon whether th...

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Is this is a Tic Tac Toe X Win?
For the game of Tic Tac Toe we will be storing the state of the game in a matrix M. For this game: We would store the state ...

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Octoberfest festival
A group of students decided to visit Octoberfest festival. First they ordered one beer, then after half-hour they taken one more...

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Missing five
Convert decimal numbers to a base-9 notation missing the digit *5* <<http://www.alfnie.com/software/missing5.jpg>> Too man...

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Pentagonal Numbers
Your function will receive a lower and upper bound. It should return all pentagonal numbers within that inclusive range in ascen...

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I Plead the Fifth
Write a function to provide a yes or no answer to the input string. However, it must plead the 5th amendment (return an empty st...

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The Top 5 Primes
This problem series invites you to solve two simple problems related to the integer NUMBER FIVE, in order to celebrate <https://...

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Breaking Out of the Matrix
Do you want to take the Red Pill, or the Blue Pill? If you take the Blue Pill, you will simply pass along to the next problem...

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Energy of a photon
&#9883 &#9762 &#9883 &#9762 &#9883 &#9762 &#9883 Given the frequency F of a photon in giga hertz. Find energy E of this photon...

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BULLSEYE Part 2: Reference Problem 18 BULLSEYE
Given n (always odd), return output a that has concentric rings of the 1s and 0s around the center point. Examples: Input ...

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Rainbow matrix
Create a "rainbow matrix" as described in the following examples Input = 3 Output = [ 1 2 3 2 3 2 ...

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Calendar Matrix
Return a calendar matrix for the given values of month and year. Assume that Sunday is the first day of the week. The resulting ...

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Matrix Construction I
Given n, construct a matrix as shown in the example below. Example For n=8, the output should look like this: 1 2 3 4 ...

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Create a block diagonal matrix
A block diagonal matrix is a square matrix that can be written as A = [a 0 0 0 0 b 0 0 0 0 c 0 ...

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