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Find the circle inscribed in a triangle
Write a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the cente...

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Create an empty array
Suppose you need an empty array. e = [] will give you one, but it's a double array, which may not help if you need a differen...

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Draw '5' in Chinese.
Draw a x-by-x matrix '五' using 1s and 0s. Example: x=5 ans= [1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1] x=7...

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Determine whether a number is prome
In discussing the unique factorization of numbers in Elementary Number Theory, Underwood Dudley devised a new number system: “C...

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Count the Number of Directed Cycles in a Graph
Given an asymmetric adjacency matrix, determine the number of unique directed cycles. For example, the graph represented by adj...

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Count the Number of Undirected Cycles in a Graph
Given a symmetric adjacency matrix, determine the number of unique undirected cycles. For example, the graph represented by adj...

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Triangle Coordinates
Given a natural number n, return two -element vectors, x and y, containing the coordinates of a triangular arrangement of points...

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Create block matrix of integers (j+k-1) - Part II
Given m, n, p, and q, create an m-by-n matrix made up of submatrices, each sized p-by-q (if possible - the last row and column o...

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Create block matrix of integers (j+k-1) - Part I
Given m, n, p, and q, create a matrix of m-by-n blocks (submatrices), each sized p-by-q. The elements of the (j,k)th block all h...

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Boustrophedon
Given a vector v and a positive integer n, return an m-by-n matrix containing the elements of v row-wise, alternating left-to-ri...

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Dartboard Average II
A dartboard arranges the numbers 1 to 20 such that each value is typically flanked by quite different values - for example, 20 i...

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Dartboard Average I
A dartboard arranges the numbers 1 to 20 such that each value is typically flanked by quite different values - for example, 20 i...

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Possible Rugby Scores
Given a natural number s (> 4), representing a rugby team's score, return an n-by-3 matrix representing all n possible combinati...

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Angle Between Analog Clock Hands
Given a datetime variable t, return the angle (in degrees) between the hour and minute hands of an analog clock at the time repr...

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Extract the Acrostic Message
An acrostic cipher is a way of embedding one message within another by taking the first (or last) word of each line. Given a str...

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Split Even Number Into Two Primes
Given an even whole number n (> 2), return a 2-element vector of primes, p, such that p(1) + p(2) = n. Fun note: technically it...

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Determine if Input is Oddish or Evenish (Odd/Even Sum of Digits)
Given a positive integer n, determine whether n is "oddish" or "evenish" - that is, whether the sum of the digits of n is odd or...

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Linear Motion 7
A robot has a maximum rate of acceleration of a m/s2. If the robot starts from rest and reaches a velocity of v2 m/s. How far ha...

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Linear Motion 6
An experimental vehicle traveling at v1 m/s is brought to a full stop in t seconds. How far does it travel before stopping? Roun...

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Linear Motion 5
A robot moving down an incline for 3 seconds undergoes a uniform acceleration of a ft/s2. If the robot has an initial velocity o...

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Linear Motion 4
A robot accelerates at a rate of A ft/s2. Assuming the robot starts from rest how much time is required to reach an object loca...

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Linear Motion 3
Suppose a robot is moving in a straight line and steadily increases its speed. It moves from v1 ft/s to v1+2 ft/s in the first ...

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Linear Motion 2
During testing in the desert, a remotely operated vehicle travels D kilometers over rough terrain. The testing takes place over...

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Linear Motion 1
An object travels N feet in the first second of travel, N feet again during the second second of travel and N feet again during ...

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Basic Mathematics 8
A robot is extending its arm and attempting to reach a game piece that is X” away and Yg ” off the ground. The base of the arm i...

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Basic Mathematics 7
Three generous robotics team mentors would jointly like to donate $N toward extra supplies. The second mentor is donating twice ...

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Basic Mathematics 6
A High School is trying to build their robot to be able to reach the hanging object which is H inches from the ground. Their ro...

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Basic Mathematics 5
The total area of all four equal sections of the game field is N ft². Each section has a rectangle of dimensions X ft x Y ft re...

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Basic Mathematics 4
Team #1 is in first place but only one point higher than Team #2. The sum of their two scores is N. What are each team’s scores...

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Basic Mathematics 3
It was announced during a Robotics Competition kick off that two of the trickiest scoring objects are: soup cans, and beach ball...

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