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Spell musical triads
Chords form the basis of harmony in music. The most basic chords are triads, or groups of three notes. They are specified by thr...

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Leyland Primes
A Leyland Number is defined as a number of the form - x^y + y^x, or, x^y - y^x (x,y)>1 Given an array of numbers(>1), check...

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Compute the period of a pendulum started from a finite initial angle
Cody Problem 49830 asks for the period of a pendulum swinging through a small angle. Here the pendulum started at rest from an ...

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Weird Diagonal Matrix!!
Given an integer n, create a matrix whose diagonal elements will be square matrices of size 1 to n. For example: n=2 z = ...

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Solve an ODE: precocious pair’s porcine pursuit
In our previous encounters with Matilda and Labrun, the scintillating siblings collected candy wrappers, amused others with card...

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Define an arithmetic sequence
Given three numbers n, a, and d, define an arithmetic sequence of n terms with a being the initial term of the sequence and d be...

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Generate the Figure-Figure sequence
After discussing Scott Kim’s FIGURE-FIGURE Figure (below) in Gödel, Escher, Bach, Douglas Hofstadter introduced an integer seque...

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Determine whether the input is an anagram number
In Cody Problem 44293, Mehmet OZC asks us to spell numbers as words. For example, 67 would be “sixty-seven” and 76 would be “sev...

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That's not my hat!
There exists a highly secretive hat consortium. Members possess identical hats. The members are invited to a meeting. All of the...

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List the Euclid numbers
Euclid proved that the number of primes is infinite with the following argument. Suppose the primes form a finite set , , . Comp...

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Evaluate the Kelvin functions
The Kelvin functions ber, bei, ker, and kei are related to Bessel functions of order . When the order is not specified, the defa...

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prime consecutive sums
Create a number sequence of 1 to n, such that the sums of every two consecutive numbers are all primes. E.g. if n = 5, you may ...

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Fill a rectangle with 1x1 and 2x2 tiles
A 3x2 rectangle can be filled with 1x1 and 2x2 tiles in three ways: The colors merely distinguish the sizes of the tiles. A 3...

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Compute a determinant
Write a function to compute the determinant of an x matrix with diagonal entries equal to an integer and other entries equal ...

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Get twenty-four
Inpur four integers in 1 to 10, you may use plus, minus, multiply and divid to get 24. Note that every integer should be used on...

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Palindrome Problem 1
Continued Problem 50033: A palindrome is one-thirteenth of the sum of and , where and are also palindrome. Give an example o...

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Concatenate input positive integers to obtain a maximum.
Input some integers, you need to concatenate them to obtain a maximum integer. Neither use library function "perms" to list all ...

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N-th Digit of all Write-Down Numbers
Write-Down Numbers are: 123456789101112131415161718192021222324252627282930... What is the N'th digit (where N is represented a...

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n-th digit of write-down all numbers
Write down number as 123456789101112131415161718192021222324252627282930... what's the n-th digit? input n and get the digit.

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Evaluate Poker Hand
Given an input table of card values and card suits between five and thirteen cards, choose the best five cards and output the ra...

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Determine Poker Hand Winner
Determine the poker hand winner from two hands of cards (each hand will contain the same number of cards between five and thirte...

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Draw the symbol '+'
Draw '+' in an x-by-x matrix (where x is odd and x >3) Example: x = 5 y = [0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 ...

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Determining if a Degree Sequence is Potentially a Graph
A degree sequence is a list of numbers representing the degrees of vertices in a graph. While it is difficult to tell if a graph...

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Check if a matrix Diagonal is equal to its secondary diagonal
Your function should return True if the secondary diagonal is equal to diagonal, and False otherwise. Eg: M = [1 2 1 ...

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Area of a regular hexagon
Given the length of a side of a regular hexagon, return its area rounded to two decimal places.

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Create the Ulam spiral
Have you ever seen this wonderful spiral ? The Ulam Spiral is arranging prime numbers in a clockwise spiral starting in 0. Give...

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Ramanujan's Number
About 1729 1729 is the first positive integer which can be expressed as the sum of two positive cubes in two different ways. ...

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Add the number of horizontal and vertical movements to each matrix element
Given n, create a square matrix and with element (1,1) = 1, add 1 to each element for each horitizonal and vertical movement. E...

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Draw 'Y'
Draw 'Y' in an x-by-x matrix (where x is odd and x >= 3) Examples: x = 3 y = [1 0 1 0 1 0 0 1 0] x = 5 y = [1...

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Matrix rotation
You are given a 2D matrix of dimension [m,n] and a positive integer r. You have to rotate the matrix r times and print the resul...

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