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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...

4 months ago

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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...

4 months ago

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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...

4 months ago

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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...

4 months ago

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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 ...

4 months ago

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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 ...

4 months ago

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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...

4 months ago

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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...

4 months ago

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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...

4 months ago

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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...

4 months ago

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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...

4 months ago

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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...

4 months ago

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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...

4 months ago

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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...

4 months ago

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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...

4 months ago

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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. The elements of p should ...

4 months ago

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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...

4 months ago

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The Ultimate Water Challenge ( Expert )
Description: In the previous problems, you were given a target T and asked to find the minimum number of steps to reach it. ...

4 months ago

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Weighted Costs ( Hard )
Different actions have different monetary costs: Fill = $10 , Empty = $5 , Pour = $1 #Note: It's just an example Find the mini...

4 months ago

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Minimal Waste Pouring ( Hard )
Everytime you perform Empty action, water is wasted. Instead of minimizing steps, find the path that minimizes the total volume ...

4 months ago

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The Broken Jug: Constrain ( Hard )
One of your jugs is "broken": it can not be Emptied to the drain. It can only be Filled or Poured to another jug. Input: C, T, ...

4 months ago

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The Classic 8-5-3 Sharing ( Medium )
You have 3 jugs with capacities [8,5,3]. The 8L jug, the others are empty: [8,0,0]. There is no tap and no drain. You can only p...

4 months ago

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Total Volume Goal ( Medium )
Usually, the target T must be in one jug. In this version, the target T is the sum of water in all N jugs. Example: C = [3,5], ...

4 months ago

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Is it Possible? ( Easy )
In the first part of series, we simplify the problem. Given two jugs with capacities A and B, and a target amount T, determine i...

4 months ago

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The Generalized N-Jug Water Pouring Problem ( Hard )
Description: You are given N water jugs with maximum capacities specified in a vector C = [ c1, c2, c3,.., c_n]. Initially, all...

4 months ago

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Estimating Battery Lifetime Based on Load Profile and Depth of Discharge (DoD)
In a Battery Management System (BMS), the lifetime of a battery depends on various factors, including the Depth of Discharge (Do...

4 months ago

Solved

Estimating the Range of an Electric Vehicle (EV)
In Electric Vehicles (EVs), the driving range is the estimated distance a vehicle can travel on a fully charged battery. The ran...

4 months ago

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Estimating Battery Backup Time for an Inverter
In a Battery Management System (BMS), estimating the backup time of a battery-powered inverter helps determine how long it can s...

4 months ago

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Easy Sequences 32: Almost Pythagorean Triples
An Almost Pythagorean Triple (abbreviated as "APT'), is a set of 3 integers in which square of the largest element, which we wil...

4 months ago

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Battery Charge Rate Calculation
In a Battery Management System (BMS), the charge rate () of a battery can be calculated using the formula: where: is th...

4 months ago