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Generate Golomb's sequence
Generate Golomb's sequence up to the given number. If n=4, then seq = [1, 2, 2, 3, 3, 4, 4, 4] If n=6, then s...

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generate the matrix
given a value n (say 4) - generate the matrix like below y= [0 1 2 3 4; -1 0 1 2 ...

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Wythoff Sequence
Find the lower Wythoff sequence up to n. For more information, <https://oeis.org/A000201>

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Adjoint matrix
given a matrix a, find the adjoint matrix of a.

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cofactor matrix
given a matrix, find its cofactor matrix <https://en.wikipedia.org/wiki/Minor_(linear_algebra)#Inverse_of_a_matrix>

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Rotate a matrix without using rot90
rotate the input square matrix by certain degrees (e.g. 270 or 450 etc.) without using rot90 or flip function. its an extension...

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AES MixColumns() Transformation
Given a 16x2 input character hexadecimal array representing the AES state, execute the AES algorithm MixColumns() transformation...

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another bullseye
create matrix like below -- for x=2, y=[1 1 1 1 1; 1 2 2 2 1; 1 2 3...

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How to find the position of an element in a vector without using the find function
Write a function posX=findPosition(x,y) where x is a vector and y is the number that you are searching for.

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Gray code
Given a decimal number, convert it to its corresponding Gray code (see https://en.wikipedia.org/wiki/Gray_code). 8 -- 1100...

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Check if a number belongs in the fibonacci squence
Test if integer i is a number in the fibonacci sequence. Return true if it is.

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Check if number is a square number
Test if integer i is a square number. Return logical true if it is.

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Check if integer is a prime number
Check if integer i is a prime number. Returns logical true '1' if it is.

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Quadratic equation
given three inputs (a, b, c) for the equation a*x^2+b*x+c=0; return 1 if the roots are complex (non zero imaginary), and 0 if th...

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Convert Fahrenheit to Kelvin
Convert the value f in Fahrenheit to Kelvin

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find subscripts from linear index
a matrix and the linear index of an element is given as input. find the subscripts of that element. if linear index=3 , outp...

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Determine whether a given point is inside or outside a polygon
A closed polygon may be described by an N x 2 array of nodes, where the last node and the first node are the same. Each row of t...

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Reepeating numbers in array
Repeating numbers in array In = [1 0 0 0 2 0 0 0 3 0 0 0 0 0 5 0 0 0 0]. Out = [1 1 1 1 2 2 2 2 3 3 3 3 3 3 5 5 5 5 5].

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Calculate the area of a circle
Given a circle of diameter x calculate its area

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Fun with permutations
There are factorial(N) permutations of the numbers from 1 to N. For each of these permutations, we can find the set of indexes j...

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remove numbers from a string
check the given string for any numbers.in case one is found,remove it.but the two portions should be separated. if more than one...

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Double Factorial
Return double factorial n(n-2)...(5)(3)(1), n>0, odd n!! = n(n-2)...(6)(4)(2), n>0, even 1 ...

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Repeat elements of a vector
Repeat each elements of a given vector according to their values. * x=[1,2,1,3] * y=[1,2,2,1,3,3,3]

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Combinations using Stirling numbers of the second kind
Output the number of ways to distribute n labelled balls among k identical boxes (some of which might be empty). Example: ...

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factorial
calculate x!

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Square
square root of x

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Takuzu row
Takuzu row is one row in a logic puzzle of a rectangular grid. The rules are as follows: (1) The row is filled with 1s and 0s...

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Take a binary number as input,rearrange it in any manner such that its value is greater than the original one.output should be all the possible values in decimal.
a='001' output = [4,2]

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All flights lead to Idaho Falls
Using spherical trigonometry and great circle paths, determine the distance (in kilometers) and the initial flight heading (from...

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The length of the equal sides of an isoceles triangle is 'a'.For all the possible (integer) values of the remaining side,find the associated angles between the two equal sides.
the remaining side may have many possible values.only assume integer ones for simplicity.

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