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Sergio Fraioli


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  • CUP Challenge Master
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Solved


The Top 5 Primes
This problem series invites you to solve two simple problems related to the integer NUMBER FIVE, in order to celebrate <https://...

10 hours ago

Solved


Breaking Out of the Matrix
Do you want to take the Red Pill, or the Blue Pill? If you take the Blue Pill, you will simply pass along to the next problem...

10 hours ago

Solved


Energy of a photon
&#9883 &#9762 &#9883 &#9762 &#9883 &#9762 &#9883 Given the frequency F of a photon in giga hertz. Find energy E of this photon...

11 hours ago

Solved


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...

1 day ago

Solved


Kaprekar numbers
Test if the input is a Kaprekar number: <http://mathworld.wolfram.com/KaprekarNumber.html>. Return a logical true or false. ...

14 days ago

Solved


Woodall number
Test whether the input is a Woodall number: <http://en.wikipedia.org/wiki/Woodall_number> _Please do not cheat by simply chec...

14 days ago

Solved


Parasitic numbers
Test whether the first input x is an n-parasitic number: <http://en.wikipedia.org/wiki/Parasitic_number>. ( _n_ is the second in...

15 days ago

Solved


Find all vampire fangs
A vampire number is a number v that is the product of two numbers x and y such that the following conditions are satisfied: at ...

15 days ago

Solved


Fangs of a vampire number
A vampire number is a number v that is the product of two numbers x and y such that the following conditions are satisfied: at ...

16 days ago

Solved


Diophantine Equations (Inspired by Project Euler, problem 66)
Consider the quadratic Diophantine equation of the form: x^2 – Dy^2 = 1 When D=13, the minimal solution in x is 649^2 – 13...

19 days 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...

22 days ago

Solved


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

22 days ago

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Fibonacci-Sum of Squares
Given the Fibonacci sequence defined by the following recursive relation, * F(n) = F(n-1) + F(n-2) * where F(1) = 1 and F(1)...

22 days ago

Solved


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...

23 days ago

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generate nth pentatope number
https://en.wikipedia.org/wiki/Pentatope_number

2 months ago

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check whether a number is a pentatope number
<https://oeis.org/A000332>

2 months ago

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

2 months ago

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Bell Triangle
Form the bell triangle upto nth bell number posotion; * if n=5 * y= [1 0 0 0 0; 1 2 0 0...

2 months ago

Solved


Length of the hypotenuse
Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle. <<https://i.imgu...

2 months ago

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Area of an equilateral triangle
Calculate the area of an equilateral triangle of side x. <<https://i.imgur.com/jlZDHhq.png>> Image courtesy of <http://up...

2 months ago

Solved


Side of a rhombus
If a rhombus has diagonals of length x and x+1, then what is the length of its side, y? <<https://imgur.com/x6hT6mm.png>> ...

2 months ago

Solved


Area of an Isoceles Triangle
An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle. <<https://imgur...

2 months ago

Solved


Dimensions of a rectangle
The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...

2 months ago

Solved


Find a Pythagorean triple
Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...

2 months ago

Solved


Triangle sequence
A sequence of triangles is constructed in the following way: 1) the first triangle is Pythagoras' 3-4-5 triangle 2) the second...

2 months ago

Solved


Length of a short side
Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...

2 months ago

Solved


Is this triangle right-angled?
Given three positive numbers a, b, c, where c is the largest number, return true if the triangle with sides a, b and c is right-...

2 months ago

Solved


Maximum value in a matrix
Find the maximum value in the given matrix. For example, if A = [1 2 3; 4 7 8; 0 9 1]; then the answer is 9.

2 months ago

Solved


Coin change combinations.
Using only pennies (1), nickels (5), dimes (10), quarters (25), half dollars (50), and dollars (100), how many different combina...

2 months ago

Solved


The almost-birthday problem.
This is a harder version of the birthday problem. Now, you will have to determine the probability that two or more people in a r...

2 months ago

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