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The Case of the Missing Prototype – Detect Tampered Sensor Readings from the Stolen Device’s Data Logs
You’ve recovered partial sensor data from the stolen prototype.Each reading is stored in a numeric vector data, but something se...

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The Case of the Missing Prototype – Check for Overlapping Alibis Between Suspects to Spot Inconsistencies
Each suspect in the case has provided an alibi — a time interval [start end] representing when they claim to have been elsewhere...

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The Case of the Missing Prototype – Match the Footprints Found in the Lab to the Suspects’ Shoe Sizes
The dust on the Innovation Lab floor reveals several footprints.You’ve measured their shoe sizes and noted them in a vector size...

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The Case of the Missing Prototype – Decode the Secret Note Found on the Desk to Reveal a Hidden Message
On the lab desk, you discover a short note filled with strange letters. After examining it, you realize it’s written in a Caesa...

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The Case of the Missing Prototype – Check the Lab’s Logbook for Suspicious Late-Night Entries
After counting the fingerprints, you turn your attention to the security logbook.It records the entry hours (from 0 to 23) of ev...

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The Case of the Missing Prototype - Count the Fingerprints Found at the Lab Door to Begin Your Investigation
You arrive at the Innovation Lab where the secret prototype was stolen. The door has been dusted for fingerprints, and a technic...

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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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love is an n-letter word
Given a list of *N words*, return the *N-letter word* (choosing one letter from each word) with the property of having the least...

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SatCom #6: Inclination of a Sun-Synchronous Orbit
Satellite and Space Engineering - Problem #5 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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find the nth fibonacci number
The Fibonacci sequence is defined as follows: give n, find the nth fibonacci number

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find the nth number (plus)
this problem is the harder version of Problem 61014. The numbers 2 and 7 are called lucky numbers, an integer containing only t...

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Find nth number
The numbers 2 and 7 are called lucky numbers, an integer containing only the digits 2 and 7 is also called lucky number. The pro...

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Bessel Polynomials
Return the n-th Bessel polynomial Assume that n is a non-negative finite integer. bessel_poly(0) ans = 1 bessel_poly(1) ...

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Logistic map
The sequence defined by x_n = 4*r*x_{n-1}*(1-x_{n-1}) and a given 0 < x_1 < 1 turns each x_n into a polynomial of r. Write a fu...

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Laguerre Polynomials
Create a square lower diagonal matrix containing the first n Laguerre Polynomial coefficients. For n=6, the Laguerre Matrix is: ...

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ICFP2024 009: Lambdaman Crawler-Backfill
The ICFP2024 contest was held June29 thru July 1. The contest consisted of five parts: ICFP Language, Lambdaman maze, Starship f...

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Reverse within string
If input is a string 'yellow' the output should be 'leywol'. Locate the middle of the string and reverse the first (yel) and sec...

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Check the integers additive decomposition conjecture
Problem statement A conjecture (I rediscovered ?) related to Goldbach's one states that every integer above 2 can be written ...

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Prime numbers which are the difference of two consecutive cubes
Problem statement Given a positive integer n greater than 2, find the prime numbers less or equal to n and which are the diff...

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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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Check Legendre's conjecture
Context and problem statement Legendre's conjecture states for a given positive integer n, there always exists at least one pri...

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Check Bertrand-Chebyshev's theorem about prime numbers
Historical context Bertrand's postulate, also later known as Chebyshev's theorem, is a very important theorem in number theory ...

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Linear primes p' = mp + n
Problem statement List the prime numbers of the form p' = mp + n for a given (m,n) couple and such that p' < k, k positive in...

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List the complementary / symetric prime couples
Problem statement For a given positive integer n, provide the prime couples (p,p') such that p + p' = 10^n. NB : a number li...

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List the twin prime couples
Problem statement The twin prime couples (p,p') are the ones such that p' = p + 2. For a given integer n > 1, list the twin p...

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Check p = 6n +/- 1, the generic formula for odd prime numbers greater than 3
Problem statement For all odd prime number p greater than 3, there exists a positive integer n, such that p = 6n +/- 1 : ...

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Check p = 4n +/- 1, the generic formula for odd prime numbers
Problem statement For all odd prime number p, there exists a positive integer n, such that p = 4n +/- 1 : Check this f...

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Chek the Delta = p' - p = 6k gap theorem about arithmetic progressions in the prime number set
Context In the prime numbers set there are some arithmetic progressions (sequences of three or more consecutive prime number...

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