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Give the Shortest Path Through The Maze

*Description* The purpose of this problem is to give the shortest path through a maze. The maze will be provided in a codifie...

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List the households affected by leaks in water distribution

Consider the following water distribution network, where water is pumped uni-directionally from left to right: 8...

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Pitting corrosion on a metal plate: Find the largest pit

You are given an N x M matrix of _ones_ and _zeros_, which represents an image of a rectangular metal plate taken from the hull ...

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Pitting corrosion on a metal plate: Count the number of pits

You are given an N x M matrix of _ones_ and _zeros_, which represents an image of a rectangular metal plate taken from the hull ...

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Trace the path of a harmful chemical in an ecological network

An ecological network consists of the cycles of nature, such as the water cycle, the carbon cycle, the oxygen cycle, etc. Due to...

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Maximize the production in a plant within equipment capacity

The goal of a certain manufacturing company is to maximize its production of goods per day. In the production flow, there is a s...

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Find the fastest reaction chain to reach a target compound

This problem is related to Problem <45470>. Let's denote a list of *N* compounds as 1, 2, ..., *N*. You are then given a list...

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Design a minimum-cost cable network for a power grid

You are given the 2-D point locations ( _xi_ , _yi_ ) of *N* _components_ of a power grid. These _components_ include power sour...

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Propagate the effects of a blockage in a chemical plant

From the perspective of flow, a chemical plant can be described by a collection of _nodes_ and _edges_. _Nodes_ are points where...

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Find third Side of a right triangle given hypotenuse and a side. No * - or other functions allowed

Find the remaining side of a triangle given the hypotenuse and a side. However, the normal functions and symbols are not allowe...

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Recaman Sequence - III

I want to create a Recaman sequence where there is a "1" in the n-th position. So from which integer should I start the Recaman ...

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Recaman Sequence - II

Take an arbitrary starting point as input and create Recaman Sequence. Then find the 1, return its index. For example: if n =...

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Recaman Sequence - I

Recaman Sequence (A005132 - <http://oeis.org/A005132 - OEIS Link>) is defined as follow; seq(0) = 0; for n > 0, seq(n) ...

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Inscribed Pentagon? 2

Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a cir...

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Radial Zernike polynomials

Given an integer _n_ ≥ 0 and an integer _m_ ≥ 0, generate the <http://en.wikipedia.org/wiki/Zernike_polynomials radial Zer...

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Chebyshev polynomials of the 2nd Kind

Given an integer _n_ ≥ 0, generate the _n_-th <http://en.wikipedia.org/wiki/Chebyshev_polynomials Chebyshev polynomial of the...

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Chebyshev polynomials of the 1st Kind

Given an integer _n_ ≥ 0, generate the _n_-th <http://en.wikipedia.org/wiki/Chebyshev_polynomials Chebyshev polynomial of the...

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Generalized Laguerre polynomials

Given an integer _n_ ≥ 0 and a scalar _a_, generate the _n_-th <http://en.wikipedia.org/wiki/Laguerre_polynomials#Generalized...

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Decimation - Optimized for speed

This problem is similar to http://www.mathworks.com/matlabcentral/cody/problems/1092-decimation, only this time the score will b...

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Make the vector [1 2 3 4 5 6 7 8 9 10]

In MATLAB, you create a vector by enclosing the elements in square brackets like so: x = [1 2 3 4] Commas are optional, s...

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Find state names that end with the letter A

Given a list of US states, remove all the states that end with the letter A. Example: Input s1 = 'Alabama Montana Nebras...

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Calculate the Levenshtein distance between two strings

This problem description is lifted from <http://en.wikipedia.org/wiki/Levenshtein_distance>. The Levenshtein distance betwee...

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Convert a temperature reading from Celsius to an unknown scale

Two of the most famous temperature scales are the Celsius and the Fahrenheit scale. In reality, however, there are so many other...

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Design a tubesheet for shell-and-tube heat exchangers

<<https://3.bp.blogspot.com/-kLSbhcCoT2I/WJIh-QVGLGI/AAAAAAAADEs/svvMzBqn4fUfI1rTCCH7Uw-QuDvxx0PxACLcB/s1600/Screenshot_669.jpg>...

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Create a matrix map of increasing safety levels

The sole nuclear power plant at Grid City suddenly had a meltdown. Luckily, the plant was designed to be in full automation, so ...

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Find an overlap in the cleaning schedule of two tank reactors

In a certain pharmaceutical production company, there are two tank reactors operating simultaneously and independent of each oth...

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Characterize fluid flow in a pipe as to laminar or turbulent

In fluid mechanics, characterizing the flow in a pipe is essential to predicting its behavior. The flow pattern can either be la...

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Compute the missing quantity among P, V, T for an ideal gas

Consider 100 mol of helium gas at a certain pressure (P), volume (V), and temperature (T). Assuming that the ideal gas law appli...

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Assess the scatter of wind turbines in a field

The renewable energy industry is on the rise in many countries--- and one of the key players is wind energy. It is believed ...

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