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Form a square matrix from four square sub-matrices
Create a square matrix, y, from 4 square sub-matrices that will be constructed (x1, x2, x3, x4): y = [x1 x2; x3 x4]; ...

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How long is the longest prime diagonal?
Stanislaw Ulam once observed that if the counting numbers are <http://en.wikipedia.org/wiki/Ulam_spiral arranged in a spiral>, t...

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Eight Queens Solution Checker
Write a function to verify whether an arrangement of queens on a chessboard is a valid solution to the classic <http://en.wikipe...

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N-Queens Checker
Picture a chessboard populated with a number of queens (i.e. pieces that can move like a queen in chess). The board is a matrix,...

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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 ...

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Dudeney Numbers: Numbers which are the cube of their decimal sum
From Wikipedia: _A Dudeney number is a positive integer that is a perfect cube such that the sum of its decimal digits is equa...

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Determine if input is a perfect number
A <http://en.wikipedia.org/wiki/Perfect_number/ perfect number> occurs whent the sum of all divisors of a positive integer, exce...

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Find Pseudo-Cyclic Number
A cyclic number is an integer in which cyclic permutations of the digits are successive multiples of the number https://en.wikip...

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Fangs of a vampire number
A <http://en.wikipedia.org/wiki/Vampire_number vampire number> is a number v that is the product of two numbers x and y such tha...

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Check if two matrices are permutations of each other
Your function should return true for the elements of one matrix is the permutation of the other matrix: x = [1 2 3; 4 5 6; ...

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Divide elements by sum of elements
In this problem, I ask you to write a function which will divide the elements of each column by the sum of the elements of the s...

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index of n^2 in magic(n)
input=5 magic matrix 17 24 1 8 15 23 5 7 14 16 4 6 13 20 22 10 ...

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Permute diagonal and antidiagonal
Permute diagonal and antidiagonal For example [1 2 3;4 5 6;7 8 9] -> [3 2 1;4 5 6;9 8 7] WITHOUT diag function (and variable n...

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Find the maximum two numbers of every column of a matrix
Find the maximum two numbers of every column of a matrix. Example: If we input a matrix A = [ 1 2 4 6 0 3 ...

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row-th maximum row elements
Input a is a square matrix of size n*n. Output vector v is of size 1*n. The ith element of output v is the ith largest element o...

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Create an m x n array consisting only of an input value.
Create an array with m rows and n columns wherein all entries are assigned the input value x.

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

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Find the product of the positive elements above the main diagonal.
Example Input A=[1 2; -3 0] Output 2

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Numbers at bit-boundary
Find if a number is on or below the bit-boundary, as defined below. Examples 7,9 straddle the bit-boundary at 2^3 as do 31...

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Convert decimal to binary and then generate the minimum binary it can with jumbling
input is 10 --> 1010 output should be 3 --> 0011 input 23 --> 10111 output should be 15 --> 01111

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X plus binary inverted x
Given a n-bits number x, what is the sum of x to the binary inverted version of x? (this might be more simple than you think :-)...

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User defined nextpow function
Create a function which will take 2 arguments as n and x, and return y, where, n^y >= abs(x). [ Similar to builtin "nextpow2" fu...

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Look and say Conway's sequence
In mathematics, the look-and-say sequence is the sequence of integers beginning as follows: 1, 11, 21, 1211, 111221, 312211, ...

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Index of a Rational number
The set of real numbers are infinite. They are so many that real numbers can't even be enumerated. However, unlike real numbers ...

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Construct an index vector from two input vectors in vectorized fashion
Create an index vector defined by two input vectors, one defining the beginnings of one or more index ranges, and the other defi...

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Numbers with prime factors 2, 3 and 5.
Make a function which takes one positive integer n and returns a matrix with the numbers of the form (2^i)*(3^j)*(5^k) which are...

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Remove the air bubbles
Given a matrix a, return a matrix b in which all the zeros have "bubbled" to the top. That is, any zeros in a given column shoul...

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Pandigital Factors (Based on Euler 491)
A Pandigital Number is a number containing all of the digits from 0-9 inclusive, with the added stipulation that it does not hav...

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It's going down. We're finding simbers!
This problem is inspired by Project Euler 520: Simbers. "We define a simber to be a positive integer in which any odd digit, ...

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Max Change in Consecutive Elements
If an array is given as input then find the index of consecutive elements that represent maximum change. Example: Input ...

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