# Marcus Homelius

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Solved

Sum of big primes without primes

Inspired by Project Euler n°10 (I am quite obviously a fan). With problem n°250 by Doug, you can find some global methods to ...

5 months ago

Solved

Sums of cubes and squares of sums

Given the positive integers 1:n, can you: 1. Compute twice the sum of the cubes of those numbers. 2. Subtract the square...

5 months ago

Solved

(Linear) Recurrence Equations - Generalised Fibonacci-like sequences

This problem is inspired by problems <http://uk.mathworks.com/matlabcentral/cody/problems/2187-generalized-fibonacci 2187>, <htt...

5 months ago

Solved

Is X a Fibonacci Matrix?

In honor of Cleve's new blog and post: <http://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/> Is X a Fibonacci ...

5 months ago

Solved

Fibonacci Decomposition

Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, r...

5 months ago

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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...

5 months ago

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How many Fibonacci numbers?

Find the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers. Example: x = [1 2 3 4...

5 months ago

Solved

Project Euler: Problem 10, Sum of Primes

The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17. Find the sum of all the primes below the input, N. Thank you <http:/...

5 months ago

Solved

Project Euler: Problem 9, Pythagorean numbers

A Pythagorean triplet is a set of three natural numbers, a b c, for which, a^2 + b^2 = c^2 For example, 3^2 + 4^2 =...

5 months ago

Solved

Project Euler: Problem 8, Find largest product in a large string of numbers

Find the greatest product of five consecutive digits in an n-digit number. 73167176531330624919225119674426574742355349194934...

5 months ago

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Project Euler: Problem 7, Nth prime

By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. What is the Nth prime nu...

5 months ago

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Project Euler: Problem 6, Natural numbers, squares and sums.

The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ...

5 months ago

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Project Euler: Problem 5, Smallest multiple

2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. What is the smalle...

5 months ago

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Project Euler: Problem 4, Palindromic numbers

A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 ...

5 months ago

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Project Euler: Problem 3, Largest prime factor

The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number being input, input might be ui...

5 months ago

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Project Euler: Problem 2, Sum of even Fibonacci

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...

5 months ago

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Project Euler: Problem 1, Multiples of 3 and 5

If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23...

5 months ago

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Pangrams!

A pangram, or holoalphabetic sentence, is a sentence using every letter of the alphabet at least once. Example: Input s ...

5 months ago

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Remove the polynomials that have positive real elements of their roots.

The characteristic equation for a dynamic system is a polynomial whose roots indicate its behavior. If any of the roots of the p...

5 months ago

Solved

Find state names that start with the letter N

Given a list of US states, remove all the states that start with the letter N. If s1 = 'Alabama Montana Nebraska Vermont Ne...

5 months ago

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Can we make a triangle?

Given three positive number, check whether a triangle can be made with these sides length or not. remember that in a triangle su...

5 months ago

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Find the sides of an isosceles triangle when given its area and height from its base to apex

Find the sides of an isosceles triangle when given its area and the height from its base to apex. For example, with A=12 and ...

5 months ago

Solved

Height of a right-angled triangle

Given numbers a, b and c, find the height of the right angled triangle with sides a and b and hypotenuse c, for the base c. If a...

5 months ago

Solved

Right Triangle Side Lengths (Inspired by Project Euler Problem 39)

If _p_ is the perimeter of a right angle triangle with integral length sides, { _a_, _b_, _c_ }, there are exactly three solutio...

5 months ago

Solved

Find my daddy long leg (No 's')

Given the ratio of the two legs (longer / shorter), and the hypotenuse length, find the value of the bigger leg.

5 months ago

Solved

Calculate the area of a triangle between three points

Calculate the area of a triangle between three points: P1(X1,Y1) P2(X2,Y2) P3(X3,Y3) these three points are the vert...

5 months ago

Solved

Natural numbers in string form

Create a cell array of strings containing the first n natural numbers. _Slightly_ harder than it seems like it should be. Ex...

5 months ago

Solved

Fix the last element of a cell array

Note: this is lifted directly from <http://www.mathworks.com/matlabcentral/answers/82825-puzzler-for-a-monday Puzzler for a Mond...

5 months ago

Solved

String Array Basics, Part 1: Convert Cell Array to String Array; No Missing Values

<http://www.mathworks.com/help/matlab/characters-and-strings.html String array> and cell array are two types of containers for s...

5 months ago

Solved

Cell Counting: How Many Draws?

You are given a cell array containing information about a number of soccer games. Each cell contains one of the following: * ...

5 months ago