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(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...
2 days ago
Solved
Fibonacci Decomposition
Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, r...
2 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)...
2 days 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...
2 days ago
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find nth even fibonacci number
1st even fibonacci number=2 ; 2nd even fibonacci number=8 ..
1 month 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...
1 month ago
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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...
1 month 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...
1 month ago
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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>> ...
1 month ago
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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...
1 month ago
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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...
1 month ago
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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...
1 month ago
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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...
1 month ago
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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...
1 month ago
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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-...
1 month ago
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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.
1 month ago
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Coin change combinations.
Using only pennies (1), nickels (5), dimes (10), quarters (25), half dollars (50), and dollars (100), how many different combina...
1 month ago
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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...
1 month ago
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Does the coin touch the line?
If we throw a coin that has a diameter of d, its center will land in a grid n x m. What is the probability that the coin land...
1 month ago
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Divisible by n, Composite Divisors
Pursuant to <http://www.mathworks.com/matlabcentral/cody/problems/42453-divisible-by-n-prime-vs-composite-divisors Divisible by ...
1 month ago
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Divisible by n, Truncated-number Divisors
Some divisors only require a few numbers at the end of the number in question to determine divisibility, no matter how long. Exa...
1 month ago
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Divisible by n, prime divisors from 20 to 200
Pursuant to the previous problem (linked below), this problem requires a function that checks for divisibility of large numbers ...
1 month ago
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Divisible by n, prime divisors - 11, 13, 17, & 19
Divisibility checks against prime numbers can all be accomplished with the same routine, applied recursively, consisting of add ...
1 month ago
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Divisible by n, prime divisors (including powers)
For this problem, you will be provided an array of numbers (not necessarily in order). Return the array of numbers with only pri...
2 months ago
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Divisible by n, prime vs. composite divisors
In general, there are two types of divisibility checks; the first involves composite divisors and the second prime divisors, inc...
2 months ago
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Divisible by 16
Write a function to determine if a number is divisible by 16. This can be done by a few different methods. Here are two: # If...
2 months ago
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Divisible by 15
Write a function to determine if a number is divisible by 15. If a number is <http://www.mathworks.com/matlabcentral/cody/proble...
2 months ago
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Divisible by 14
Write a function to determine if a number is divisible by 14. If a number is <http://www.mathworks.com/matlabcentral/cody/proble...
2 months ago
