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Extract numbers using a decaying sieve
The Sieve of Eratosthenes is one method of determining primes. Starting with 2, one keeps 2 and removes 2x2, 3x2, 4x2, etc. Then...

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Find the Nth number in the 7-sequence
Find the Nth number in the 7-sequence. 7, 14, 21, 28, 35, 42, 49, 56, 63, 77, 84, ... Hint: Refer test suites

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The Bridges of Nedsburg
The fabled city of Nedsburg consists of several islands connected by bridges. Due to tectonic forces, shoddy civil engineering, ...

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FEN Chess Notation
Given an 8-by-8 character matrix representing a chess board, convert it to FEN (Forsyth-Edwards Notation) board position format....

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Can I make a right triangle ?
Input(a) - is vector with any amount of values. Interpreted as legths of sides. Output(b): * Is true if there are any 3 va...

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Apply the planing transform to natural numbers
Claude Lenormand’s planing (or raboter, in French) transform removes one element from each run in a sequence; that is, imagine a...

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Half-Swap
Given a vector with an even number of elements, rearrange it so that the elements in its first half are switched with those i...

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Return the Square of a Number
Write a function that takes a single numeric input x and returns its square. That is, given x, your function should output x^2....

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Find the smallest prime with n inside
Consider the sequence that begins 101, 113, 127, 131, 149, 151, 163,... Not only is every term prime, the th term is the smalles...

8 meses hace

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Express base-10 integers in lazy binary
The binary (or base-2) representations of a number n can be constructed as follows: Step 1: If n = 0, then the binary represent...

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Find Solutions to Edge-Matching Puzzles
I was intrigued by some edge-matching puzzles I came across when visiting my parents over Thanksgiving. "An edge-matching puzzle...

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How tall will my cactus be?
My Barbed Wire Cactus is a desert cactus that relies on just the right amount of rainfall to stay healthy. Given a 1×12 vector...

8 meses hace

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Slicing the area of a regular polygon
Given the area, A, of a regular polygon with n sides, each of length s, consider its decomposition in congruent isosceles triang...

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Covering rectangle area of a four-pointed star polygon
Given the four-pointed star polygon formed by the rectangle, with dimensions l1xl2, and four triangles, with height, h, from the...

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Height of a four-pointed star polygon
Given the area A, of a rectangle with dimensions l1xl2, where the side lengths are integers and form the smallest possible perim...

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Popular Word Game™ Distance
Professor Ned, who holds the Nedowed Chair of Crackpot Mathematics at the University of Nedsburg, has recently discovered the da...

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Compute MOSFET oxide thickness
Calculate the oxide thickness in nanometers for an NMOS on a p-type substrate. Inputs (all scalars): NA — acceptor concentrat...

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Convert Hexavigesimal to Decimal
NASA (Ned’s Alien-Spying Agency) have made contact with a 13-fingered race from the planet Genai. Naturally, Ned’s shadowy opera...

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Convert Decimal to Hexavigesimal
NASA (Ned’s Alien-Spying Agency) have made contact with a 13-fingered race from the planet Genai. Naturally, Ned’s shadowy opera...

8 meses hace

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Square area to triangle area
Given the area, A, of a square with side length, c, if a right angle triangle has the same area A and the hypothenuse length 2c ...

9 meses hace

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Radioactive Decay Chain
A radioactive decay chain consists of a series of nuclides, each decaying into the next. Suppose we have a chain of N isotopes:...

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Enclosure Matrix
The problem gives you a positive integer n. You need to create a matrix consisting of n layers of natural numbers; the outermost...

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Barnes G-Function
Evaluate the Barnes G-Function at a given (integral) value. %Example 1 in = 1; out = 1; %Example 1 in = 4; out = 2; ...

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Compute the Dedekind psi function
Write a function to compute the Dedekind psi function. The values for n = 1, 2, 3, 4, 5, and 6 are 1, 3, 4, 6, 6, and 12.

9 meses hace

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Sum of series III
What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?

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Sum of series II
What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?

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Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?

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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.

9 meses hace

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Find the longest runs of primes generated by polynomials
Cody Problems 60942, 60943, and 60944 involve polynomials that generate primes. No polynomial can generate only prime numbers, b...

10 meses hace

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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...

10 meses hace

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