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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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Count the number of reaction chains achievable in T mins
This problem is related to Problem <45467>. Let's denote a list of *N* compounds as 1, 2, ..., *N*. You are then given a list...

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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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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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Find the right number make the equation
Given positive integer number n, find the right positive integer number a, b , so that (1) sqrt(a + n * b) is a positive inte...

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Find an optimal placement of coolers on a grid
In a certain chemical plant, 6 new pieces of cooling equipment (coolers) are to be installed in a vacant space. This vacant spac...

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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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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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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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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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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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PACMAT 09 - Awesome Tunnelling Ghosts, Equal Speed, 20 Lives, Game Download
The Classic PACMAN game brought to Cody. PACMAT requires clearing all the Yellow Dots. Twenty lives are available. Adjacent G...

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Toads and Frogs Puzzle 2
On a two-dimensional board with 2n + 1 rows and 2n + 1 columns, all (2n + 1)^2 positions of the board, except the central one, a...

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Lights Out 6 - 5x5, 13 moves
<https://en.wikipedia.org/wiki/Lights_Out_(game) Lights Out> is a logic game wherein all lights need to be turned off to complet...

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generate nth pentatope number
https://en.wikipedia.org/wiki/Pentatope_number

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check whether a number is a pentatope number
<https://oeis.org/A000332>

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Cantor counting
Find the nth cantor's rational number. the sequence is given below in the link. Sequence: 1/1,1/2,2/1,3/1,2/2,1/3,1/4... ... .....

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find nth even fibonacci number
1st even fibonacci number=2 ; 2nd even fibonacci number=8 ..

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Bell Triangle
Form the bell triangle upto nth bell number posotion; * if n=5 * y= [1 0 0 0 0; 1 2 0 0...

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Be happy
check whether the given number is happy in b-base. * A happy number can be defined as a number which will yield 1 when it is ...

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Pell numbers
Find the nth pell number <https://en.wikipedia.org/wiki/Pell_number>

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Frugal number
check whether n is a frugal number * a frugal number is a natural number in a given number base that has more digits than the...

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Last non-zero digit
Given a number n, find the last non-zero digit of the factorial of that number. You need to take care of the large values of n....

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Fangs of pseudo-vampire number
given a number, find all the fangs of that number. A pseudo-vampire number can have multiple of fangs. The output should be a...

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Pseudo-vampire number
refer to <https://en.wikipedia.org/wiki/Vampire_number> Given a number x, determine whether it is a pseudo-vampire number. ...

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The End of the World
given a date -- represent it in the Maya long count system. <https://en.wikipedia.org/wiki/Maya_calendar> <https://maya.nm...

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