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Total Area Covered by Overlapping Polygons
Given a variable length set of polygon vertex coordinates, compute the total area covered. For example, take two polygons with t...

11 days ago

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Identify winnable games of Take a Square
A game has a pile of tokens, and two players alternate in taking a certain number of tokens from the pile, with the constraint t...

11 days ago

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q-dimensional Cartesian product
Your mission, should you choose to accept it, is to compute a q-dimensional Cartesian product, as follows. Let the input G be an...

11 days ago

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Compute the tersum
The tersum, which appears in certain mathematical games, involves adding two numbers in base 3 without carry and converting back...

11 days ago

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Return the sum of all even numbers in a vector
Write a function that takes a vector of integers and returns the sum of all even numbers.

11 days ago

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The Secret Code of Mars
NASA has intercepted a mysterious signal from Mars filled with random letters and numbers. Scientists believe each number in the...

11 days ago

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Decipher Message Using Prime of Primitive Root of Two Sequence Key
Provided a message with all characters <= 255 (ascii) as an input, decode the padded message (removing the random character pad)...

11 days ago

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Generate a point cloud on an equilateral triangle 8
The input is the iteration parameter H. The output is a point cloud W involving N points. W is N uniformly distributed points ...

11 days ago

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Generate a point cloud on an equilateral triangle 7
The input is the iteration parameter H. The output is a point cloud W involving N points. W is N uniformly distributed points ...

11 days ago

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Generate a point cloud on an equilateral triangle 6
The input is the iteration parameter H. The output is a point cloud W involving N points. W is N uniformly distributed points ...

11 days ago

Solved

Generate a point cloud on an equilateral triangle 5
The input is the iteration parameter H. The output is a point cloud W involving N points. W is N uniformly distributed points ...

11 days ago

Solved

Generate a point cloud on an equilateral triangle 4
The input is the iteration parameter H. The output is a point cloud W involving N points. W is N uniformly distributed points ...

11 days ago

Solved

Generate a point cloud on an equilateral triangle 3
The input is the iteration parameter H. The output is a point cloud W involving N points. W is N uniformly distributed points ...

11 days ago

Solved

Generate a point cloud on an equilateral triangle 2
The input is the iteration parameter H. The output is a point cloud W involving N points. W is N uniformly distributed points ...

11 days ago

Solved

Generate a point cloud on an equilateral triangle 1
The input is the iteration parameter H. The output is a point cloud W involving N points. W is N uniformly distributed points ...

11 days ago

Solved

Generate a point cloud named `Incremental Lattice Design`
The input is the number of dimensions M and the parameter H. The output is a point cloud W involving N points. W is N uniforml...

11 days ago

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Compute the Euclidean Distance Between Two N-Dimensional Vectors
Write a function that computes the Euclidean distance between two N-dimensional vectors. Given two input vectors x and z of equ...

11 days ago

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Determine Matrix Dimensions Without Using some built-in MATLAB functions, version 2
Write a function that takes a 2D matrix/1D vector x as input and returns a row vector containing the number of rows and the numb...

12 days ago

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Chrono Matrix: Reconstructing the Time Portal
Your time-travel scanner has captured fragments of a portal matrix scattered across eras. Each fragment contains partial informa...

13 days ago

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MATLAB Time Warp – Stabilize the Temporal Lattice by Finding the Dominant Eigenvector of a Time-Distorted Matrix
The Chrono-MAT Engine is malfunctioning. A time-distorted matrix A governs the stability of spacetime. Your mission: determine...

13 days ago

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Create 24-bit image containing all possible colors
A 24-bit image is an image where each pixel is represented by three values, which are the red, green, and blue color components,...

13 days ago

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Easy Sequences 74: Fibonacci Bank Account
In fantasy world where money does grow on trees, a man decided to top-up his bank account, daily. On the first day he noticed th...

13 days ago

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Sum all elements of a vector or matrix without using sum()
Write a function that computes the sum of all elements of the input array v without using the built-in sum function. The input ...

14 days ago

Solved

Determine Matrix Dimensions Without Using some built-in MATLAB functions
Write a function that takes a 2D matrix/1D vector x as input and returns a row vector containing the number of rows and the numb...

14 days ago

Solved

Determine Matrix Dimensions Without Using size or length
Write a function that takes a matrix A as input and returns a row vector containing the number of rows and the number of columns...

14 days ago

Solved

Easy Sequences 73: Emergence of Fibonacci Insects
Cicadas are natural mathematicians. In order to avoid their natural predators (in this case, the wasp), they emerge from hiberna...

14 days ago

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Center-of-Mass Index of a Vector
Given a numeric vector x, treat each element x(i) as a mass located at index i. Compute the center-of-mass index idx = sum(i *...

16 days ago

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First Unique Character
Given a character vector s, return the first character that appears exactly once in s. If every character repeats at least once...

16 days ago

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Upper vs Lower Triangle
Create an n × n matrix A such that: Elements strictly above the main diagonal are 1 Elements strictly below the main diagonal ...

16 days ago

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Odd Run Sums
Given a row vector x of integers, find every maximal run of consecutive odd numbers and return a row vector containing the sum o...

16 days ago