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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...

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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 through thi...

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How long is the longest prime diagonal?
Stanislaw Ulam once observed that if the counting numbers are arranged in a spiral, the prime numbers contained in it form a sur...

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Free Fall analytical solution (Chapra 2012 textbook Example 1.1)
Analytical solution to bungee jumper problem. Given time series as a vector, parameters mass and drag coefficient, and gravit...

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Rotate Matrix Depending on the input
Rotate matrix (CounterClockwise) via 90, 180 or -90 depending on the input Ex. a = [1 2 3; 4 5 6; 7 8 9] b = 90; ...

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Determinant of a 3x3 Matrix
Return the determinant of a 3x3 matrix. The built-in Matlab function det is not allowed.

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Get all prime factors
List the prime factors for the input number, in decreasing order. List each factor. If the prime factor occurs twice, list it as...

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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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Mandelbrot Numbers
The <http://en.wikipedia.org/wiki/Mandelbrot_set Mandelbrot Set> is built around a simple iterative equation. z(1) = c z...

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Find common elements in matrix rows
Given a matrix, find all elements that exist in every row. For example, given A = 1 2 3 5 9 2 5 9 3 2 5 9 ...

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Given two arrays, find the maximum overlap
Given two (integer) arrays s1 and s2, create a new array s3 which is as short as possible and contains both arrays. #1 s1 = [...

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Calculate the probability that at least two people in a group share the same birthday.
Calculate the probability that at least two people in a group share the same birthday. Given an integer input n, return to 0.015...

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The Birthday Phenomenon
First off, leap years are not being considered for this. In fact the year that people are born shouldn't be taken into considera...

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Don't be mean. Be nice!
For this problem, you will be given a range of single digits R, and a separate number K. You job is to calculate the mean of al...

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Given n, create n random numbers such that their standard deviation is also n.
Given n, create n random numbers such that their standard deviation is also n.

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Find Logic 16

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Indexed Probability Table
This question was inspired by a Stack Overflow question forwarded to me by Matt Simoneau. Given a vector x, make an indexed pro...

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Find the peak 3n+1 sequence value
A Collatz sequence is the sequence where, for a given number n, the next number in the sequence is either n/2 if the number is e...

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Return the 3n+1 sequence for n
A Collatz sequence is the sequence where, for a given number n, the next number in the sequence is either n/2 if the number is e...

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Find Logic 17

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Find Logic 18

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Find Logic 19

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Kaprekar Steps
6174 is the Kaprekar constant. All natural numbers less than 10,000 (except some with same digits) can be reduced to 6174 in the...

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Swap the first and last columns
Flip the outermost columns of matrix A, so that the first column becomes the last and the last column becomes the first. All oth...

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Finding Perfect Squares
Given a vector of numbers, return true if one of the numbers is a square of one of the numbers. Otherwise return false. Example...

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Rotate a Matrix by 90 degrees
Rotate a Matrix by 90 degrees Example: If the input is: X = 1 2 3 4 5 6 7 8 9 ...

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Generate a random matrix A of (1,-1)
Input n: is an positive integer which serves as the dimension of the matrix A; Output: A=(Aij),where each entry Aij is either...

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What is the next step in Conway's Life?
Given a matrix A that represents the state of Conway's game of Life at one instant (time t=n), return the matrix B that represen...

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Return a list sorted by number of occurrences
Given a vector x, return a vector y of the unique values in x sorted by the number of occurrences in x. Ties are resolved by a ...

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Interpolator
You have a two vectors, a and b. They are monotonic and the same length. Given a value, va, where va is between a(1) and a(end),...

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