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Express numbers as the sum of a prime, a square, and a cube
While traveling on an interstate highway, I noticed a sign that gave distances to three places. The distances were 3, 8, and 9 m...

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Find the minimum element coprime to the rest in a set of 10 consecutive integers
In this video, Dr Barker argued that a set of 10 consecutive integers must have at least one integer coprime to the rest. For ex...

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Solve an ODE: Ekman spiral on a solid surface
Problem Write a function to solve for and as a function of in this system of ordinary differential equations: where , ...

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Array GCD
* Find Greatest Common Divisor in a given array * Function Template: function ans = arraygcd(a) % a=[45 15 200 ...

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Update course numbers and abbreviations
Suppose that the educational institution where you teach purchases new software to handle many essential functions, including co...

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Find the index of n in magic(n)
If input n=5, then magic(n) is 17 24 1 8 15 23 5 7 14 16 4 6 13 20 22...

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Quasi-Carmichael Numbers
Determine if the provided inputs are Quasi-Carmichael numbers and output a logical matrix of the same size as the input.

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Carmichael Function
Compute the carmichael function for the input.

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Beam me up, Scotty!
It's the mid 22nd century. You, Montgomery Scott, are appointed the chief engineer of the Starship Enterprise. The Starship is...

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Compute the polylogarithm for real arguments
The polylogarithm appears in quantum statistics and quantum electrodynamics, and for special cases of and , it connects to the...

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List ways to make a sum in Killer Sudoku
In Sudoku, the subject of several Cody problems, one tries to arrange the digits 1 through 9 in a 9x9 grid of 81 cells (or a 3x3...

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Compute a sum involving the zeta function
Write a function to compute the sum for , where is the zeta function, the subject of Cody Problems 45939, 45988, and 45997.

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Create rectangular function.
Rectangular function - Wikipedia

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Count paths between corners of a grid that remain on or below the diagonal
Consider motion from the lower left corner of a square grid to the upper right corner. The motion is constrained in two ways: (1...

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Determine aquifer properties: slug test
An important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground wa...

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Integrate a power tower
Write a function to compute this integral where . That is, the integrand is x to the x to the x to the x to the...

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Count the ones in a divisibility matrix
Cody Problem 59506 asked solvers to compute the determinant of matrix consisting of ones in the first column and anywhere the ro...

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Compute the determinant of a divisibility matrix
Consider a matrix consisting of ones in the first column and anywhere the row index divides the column index. The 4x4 matrix is ...

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Compute the sum of distances from a point to the sides of an equilateral triangle
Write a function to compute the sum of the (shortest) distances from a point inside an equilateral triangle to the sides of the ...

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Compute the total length of lines between all vertices of a regular polygon
Write a function to compute the total length of between all vertices of a regular polygon inscribed in a unit circle. For exampl...

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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...

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Roman to Integer Conversion
The idea behind this cody problem is to write a code that converts the Roman Numerals to Integers. A numeral system known as R...

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nxn matrix with elements from 1:n^2
really simple once you see what the matrix is supposed to look like. i appreciate what seems to be a clever approach to solving ...

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Construct numbers from antidiagonals of stacks of binary numbers
A sequence is constructed in the following way: Express the numbers 1, 2, 3, 4, 5,… in binary and stack them, right-justified. T...

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List lunar triangular numbers without duplication
Triangular numbers—which are the subject of Cody Problems 5, 291, 44289, 44732, 45833, 55680, 55695, and 55705—are the sums of c...

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Calculate the Number of Sign Changes in a Row Vector (No Element Is Zero)
For a row vector: V=[7 1 2 -3] there is one sign change (from 2 to -3). So, the function you write must return N=1. F...

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Count integers in randomized vector that are multiples of a given number.
The mod() function We might all remember the days when we were taught to divide and then set the remainder aside if the numbers...

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Bullseye Matrix with Zeros
Inspired by Problem 18, create a bullseye matrix with the addition of padding equal to 0 between concentric rings. Matrices are ...

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Determine whether a number is a Zeisel number
Do you know what is interesting about the number 1729? That’s right: it’s the third Zeisel number, a number given by , where ...

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Determine if a number is a cool number
A number is considered cool if it is 3 digits, has a 5 in it, and is divisible by 4.

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