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Sophie Germain prime
In number theory, a prime number p is a *Sophie Germain prime* if 2p + 1 is also prime. For example, 23 is a Sophie Germain prim...

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Circular Primes (based on Project Euler, problem 35)
The number, 197, is called a circular prime because all rotations of the digits: 197, 971, and 719, are themselves prime. The...

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Mersenne Primes vs. All Primes
A Mersenne prime (M) is a prime number of the form M = 2^p - 1, where p is another prime number. <https://www.mathworks.com/matl...

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The Goldbach Conjecture
The Goldbach conjecture asserts that every even integer greater than 2 can be expressed as the sum of two primes. Given the eve...

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Sieve of Eratosthenes - 02
"Sift the Two's and Sift the Three's, The Sieve of Eratosthenes. When the multiples sublime, The numbers that remain a...

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Travelling Salesman Problem (TSP)
Find a short way through given points. This is the travelling salesman problem. But the solution should be a fast and small func...

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Parcel Routing
Given a matrix that represent the distance along highways between major cities numbered 1 to _N_, provide the path and shortest ...

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FloydWarshall
Our task is to find shortest paths between every pair of nodes. Floyd-Warshall is a graph algorithm for finding shortest paths i...

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Count the Number of Directed Cycles in a Graph
Given an asymmetric adjacency matrix, determine the number of unique directed cycles. For example, the graph represented by adj...

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Determine connected components of a graph
Adjacency matrix of an undirected graph is given. Return the number of connected components in the graph.

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The Case of the Missing Prototype – Identify the Thief by Comparing Suspects’ Evidence and Alibi Scores
After gathering fingerprints, alibis, sensor data, and digital clues, it’s time to pinpoint the thief. You have a struct array ...

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The Case of the Missing Prototype – Extract the Culprit’s Name from a Mixed Letter-and-Number Email Message
While tracing the suspect’s digital footprint, you recover an email containing a mixed string of letters and numbers.The letters...

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The Case of the Missing Prototype – Calculate the Car’s Average Speed Between GPS Readings to Trace the Escape Route
Using GPS data, you’ve obtained the total distance (in meters) traveled by the suspect’s car at equal time intervals.These readi...

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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 – Restore the Correct Frame Order from the Corrupted Security Camera Footage
You’ve finally recovered the security camera footage from the Innovation Lab,but the system malfunctioned and stored frames in t...

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

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Find the index of nth maximum of a row vector of real numbers
Given a vector of real numbers x, find the index idx of _n_ th maximum value. If nth maximum occurs more than once, return the i...

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Find the Nth Root of a Given Number
Find the Nth root of a given number x. Examples x = 4096 n = 4 y = 8 x = 625 n = 5 y = 3.6239

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Find the nth composite number.
Everyone heard about the nth prime number. Let's try to find out the nth composite. For example , 1 is the first composite, 10 i...

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Find the logic and return the nth number
given a sequence of numbers arranged in the following order: A=0,1,3,4,9,10,12,13,27,28,30,31,36,37,...... Write a function th...

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Find the logic and return the nth number (plus)
This problem is the harder version of Problem 61015 given a sequence of numbers arranged in the following order: A=0,1,3,4,9,1...

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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 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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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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The Matrix Construction
Given two input ,first one is CN (Column Number), Second one is Dim Can you produce such a matrix for example CN=6; Dim=2 ...

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