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Number of Even Elements in Fibonacci Sequence
Find how many even Fibonacci numbers are available in the first d numbers. Consider the following first 14 numbers 1 1 2...

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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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Digit concentration in Champernowne's constant
Consider the first 50 digits of Champernowne's constant 0.12345678910111213141516171819202122232425262728293... The...

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Group-wise Euclidean distance
*Input*: * *x* —— An array of size *n-by-d*, where each row vector denotes a point in a d-dimensional space; * *g* —— A gro...

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Acid and water
⚖ ⚖ ⚖ ⚖ ⚖ ⚖ ⚖ ⚖ Assume that there is a 100 liter tank. It is initially fi...

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Five-dimensional maze
*Description* The traditional maze is 2-dimensional: the navigator can move in the positive or negative directions along two ...

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One track five lanes
Find the minimum number of lane changes necessary to cross the entire track without running into any obstacles <<http://www.a...

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An asteroid and a spacecraft
&#128640 Imagine a non-relativistic simple situation. Assume positions p0, p1, p2, and p3 are three dimensional Cartesian ...

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Ned's queens
A tribute to Cody's five-year anniversary should also celebrate the people behind Cody, and in this particular case, our illustr...

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Cache me Outside
The test suite includes a simple recursive Fibonacci sequence generator, but it's terribly inefficient. One simple method for im...

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Pair Primes
Let's define pair primes as follow; For 2 digits numbers: 11 and 17 are pair primes because both of them are 2 digits prime num...

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Birthday cake
It's Cody's 5th birthday, and you've been tasked with putting the candles on the cake. Your goal is to maximize the distance bet...

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5th Time's a Charm
Write a function that will return the input value. However, your function must fail the first four times, only functioning prope...

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Is this a valid Tic Tac Toe State?
For the game of <https://en.wikipedia.org/wiki/Tic-tac-toe Tic Tac Toe> we will be storing the state of the game in a matrix M. ...

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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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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...

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Determine when snow started
R.P. Agnew posed the following problem: It starts snowing in the morning and continues steadily throughout the day. A snowplow t...

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How Far Can You Throw Something?
As you probably learned in your high school physics class, throwing an object at a 45 degree angle will give you the maximum ran...

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Pressure for a given Above Sea Level Altitude
For altitudes up to the stratosphere (around 11 km above mean sea level), the air pressure can be estimated from: with where...

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SatCom #4: Satellite Orbit Altitude
Satellite and Space Engineering - Problem #4 This is part of a series of problems looking at topics in satellite and space comm...

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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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Partial Pressure of Water Vapor from Relative Humidity
Buck (1996, 1981) published the following constants for the saturation pressure of water*: 6.1121 (mb) The saturation pressur...

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Two Jugs: Minimum Steps ( Medium )
Following the first problem, now you need to find the shortest path. Given two jugs with capacities A and B, find the minimum nu...

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Reproduce this plot!
Write a function that will take a dataset (x,y), a best fit model (model), and the upper and lower prediction bounds (lb,ub) for...

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Locate image wells
A mathematical model of wells pumping groundwater near a boundary can be constructed using the method of images, which is also u...

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Find the Oldest Person in a Room
Given two input vectors: * |name| - user last names * |age| - corresponding age of the person Return the name of the ol...

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Predicting life and death of a memory-less light bulb
*&#128161 &#128161 &#128161 &#128161 &#128161 &#128161 &#128161 &#128161 &#128161 &#128161 &#128161 &#128161 &#128161 &#128161 &...

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Calculate Wind Chill Factor
The NWS Wind Chill Temperature (WCT) index formula for calculating the dangers from winter winds and freezing temperatures: Cal...

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Find MPG of Lightest Cars
The file cars.mat contains a table named cars with variables Model, MPG, Horsepower, Weight, and Acceleration for several classi...

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Snow Accumulation and Structural Risks To Residential Properties
The density of snow depends on the amount of liquid water it contains: Dry Snow is about 50 kg/m^3 Wet Snow is about 200 kg/m^...

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