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Possible Outcomes of American Roulette

The payout for American roulette can be calculated by: payout = (38/n)-1 where n is the number of squares the bet covers. ...

1 year ago

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A (wrong) place for everything, and everything in its (wrong) place

You have an equal number of cups and balls, each labelled from one to N. You randomly place one ball in each cup. Determine th...

1 year ago

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Numbered lottery balls into cells

You are running a lottery, and have a number of different balls numbered 1 to N. Your job is to figure out how many different w...

1 year ago

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Put m balls into n boxes (again)

According to <http://www.mathworks.com/matlabcentral/cody/problems/1516-put-m-balls-into-n-boxes Cody Problem 1516>, if I put 3 ...

1 year ago

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Put m balls into n boxes

Can you find all the cases where, if I put 3 balls into 2 boxes the case is 1 1 1 1 1 2 1...

1 year ago

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NCHOOSEK - Time Optimization

*Input* * *V* —— Set of all choices, a vector of N, 1 < N < 100 * *K* —— Number of selected choices, a scalar, 0 <= K <=...

1 year ago

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Get ranking of a combination looking for speed.

I have the numbers pulled without replacement from the set [1 2 3 4 5 6 7 8 9 10 11 12 13]; They are then ordered from least to...

1 year ago

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Get ranking of a combination

I have the numbers pulled without replacement from the set [1 2 3 4 5 6 7 8 9 10 11 12 13]; They are then ordered from least to...

1 year ago

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Usage of java.math : N Choose K with unlimited precision

Calculate the binomial coefficient nchoosek with full accuracy. This challenge may use the wonderful word of java.math that allo...

1 year ago

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Combinations without using nchoosek

You have to generate a matrix with all possible combinations of n elements *taken 2* at a time, *without using nchoosek(1:n,2)* ...

1 year ago

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Create Combination

Motivation: In many problems, we need to create combinations with the function nchoosek. In some cases, however, choices are lim...

1 year ago

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Repopulate the City

For any population p of positive integers between pmin and pmax, we can calculate histogram count n for a list of evenly dividin...

1 year ago

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Next lexicographic - permutation

Find next lexicographic - permutation (permutations as it would occur in a dictionary order). E.g: nextP('ABCD') = ABDC I...

1 year ago

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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...

1 year ago

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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 ...

1 year ago

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Fibonacci Decomposition

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

1 year 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...

1 year 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 s...

1 year ago

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Say something funny

Say something funny, or not. Your solution will be (fully automatically and objectively) scored based on how clever or funny ...

1 year 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)...

1 year ago

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Solitaire Cipher

Implement the <http://en.wikipedia.org/wiki/Solitaire_(cipher) solitaire cipher>. Since this is from Wikipedia, I am capturin...

1 year ago

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Implement simple rotation cypher

If given a letter from the set: [abc...xyz] and a shift, implement a shift cypher. Example: 'abc' with a shi...

1 year ago

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Given a window, how many subsets of a vector sum positive

Given a vector: [1 0 -1 3 2 -3 1] and a window of 2, A sliding window would find: 1 + 0 = 1 0 - 1 = -1 ...

1 year ago

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How many trades represent all the profit?

Given a list of results from trades made: [1 3 -4 2 -1 2 3] We can add them up to see this series of trades made a profit ...

1 year ago

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Flag largest magnitude swings as they occur

You have a phenomenon that produces strictly positive or negative results. delta = [1 -3 4 2 -1 6 -2 -7]; Marching thr...

1 year ago

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Make a run-length companion vector

Given a vector x, return a vector r that indicates the run length of any value in x. Each element in r shows how many times the ...

1 year ago

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Spot the outlier

All points except for one lie on a line. Which one is the outlier? Example: You are given a list of x-y pairs in a column ...

1 year ago

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Find a subset that divides the vector into equal halves

Given a vector x, return the indices to elements that will sum to exactly half of the sum of all elements. Example: Inpu...

1 year ago

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How long is the longest prime diagonal?

Stanislaw Ulam once observed that if the counting numbers are <http://en.wikipedia.org/wiki/Ulam_spiral arranged in a spiral>, t...

1 year ago

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Find the biggest empty box

You are given a matrix that contains only ones and zeros. Think of the ones as columns in an otherwise empty floor plan. You wan...

1 year ago