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Compute the area of the shoemaker’s knife
A shape resembling a shoemaker’s knife is constructed from a semicircle with diameter with two semicircular “bites” of diameter...

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Locate image wells
A mathematical model of wells pumping groundwater near a boundary can be constructed using the method of images, which is also u...

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Compute the Lagarias Riemann Hypothesis sequence
Write a function that takes an input number and produces a sequence (i.e., all values up to and including the th value) compute...

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Compute a nested cube root
Consider the quantity . Write a function to compute without using loops or recursion.

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Exact Cover
An efficient solution to the exact cover problem can be useful in many situations. In this problem, you are welcome to use Knuth...

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Intersection points of a polynomial
Find the intersection points of a polynomial, given by its vector of coefficients with the X-axis and the Y-axis. Input: a poly...

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Harmonic series counting
The function takes a positive limit as input, And counts how many terms must be summed in the harmonic series: 1/1, 1/2, 1/3, ...

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Easy Sequences 86: The "real" Hyperprimorials
In Easy Sequences 85, we define the hyperprimorial of , as a exponent ladder of primes numbers from the -th prime down to first ...

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Dyck words
A Dyck word can be considered as a string of n X's and n Y's arranged to have at least as many X's in an initial segment of the ...

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Sum the unitary divisors of a number
Cody Problems 1933 and 46898 deal with , the sum of divisors function. This problem deals with , the sum of unitary divisors fun...

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Count the unitary divisors of a number
Cody Problem 56738 asks for a list of the unitary divisors of a number. For this problem, write a function to count the unitary ...

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IQpuzzler Challenge #2: Find all possible solutions on an empty 4-by-5 board with 5 pieces, rotating and flipping pieces allowed
We are playing a simplified version of IQpuzzler, with a smaller board of 4-by-5 spaces and just 5 pieces, as shown in the pictu...

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Digits of Powers of 2
In Project Euler Problem #16, we are asked for sum of the digits of powers of 2. Here we will be asked for more than that. Give...

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List unitary divisors of a number
A unitary divisor of a number divides and satisfies gcd(,) = 1. For example, 9 is a unitary divisor of 18 because gcd(9,2) = ...

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IQpuzzler Challenge #1: Find all possible solutions with 2 pieces already on the board and fixed orientation of all other pieces
IQpuzzler is a one player board game. The 2D version provides a rectangular board with 5-by-11 spaces and 12 colored pieces (con...

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Acid-Base Chemistry: Which side of the reaction is more favorable?
In an Acid-Base reaction, there is always going to be an acid, a base, a conjugate acid, and a conjugate base. When provided wit...

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Just square the input
Square the number

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Is the number of 1s in a binary integer odd or even?
Your function should turn the input integers into binary form and count the number of 1s in the binary. If the number is odd, re...

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List numbers that are not in the Fibonacci sequence
In the list of 4797 Cody problems, 53 deal with or refer to the Fibonacci sequence.* What about the other numbers? Write a funct...

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List the nth term of Rozhenko’s inventory sequence
Consider a sequence constructed by repeated inventories. A new inventory begins each time a zero is encountered. The first few i...

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Number of odd and even elements within matrix
Input(m) - any matrix with integers Output(n) - n(1)=number of odd elements, n(2)=number of even elements Example: * m=...

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Prime Time
All you need to do here is submit your solution a prime number of seconds after the top of the hour. Any hour at all... Easy, ...

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Leftovers? Again?!
I am thinking of a positive number X. To determine what number I am thinking of, I will give you two 1xN vectors. The first ve...

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Multiply each matrix element by its row index and add its column index.
Return a matrix the same size as the input, multiply each element by its row index and add its column index. Example: x = [ 1 ...

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Cluster Partition
Given an array (row or column) of numbers, divide the array into consecutive positive/negative numbers. 0 is to be treated inde...

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Create an arrow matrix
An arrow matrix is a square matrix that contains ones on the diagonal, the last column, and last row. ...

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Canadian Conundrum
After succesfully completing the French Conundrum, you have decided to take a vacation. Your trip is amongst the mighty mountai...

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French Conundrum
The French army is trapped, sorrounded in backwards direction (South and West directions) by enemy traps and ambushes. You are n...

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Calculate the Distance to Source of Lightning
Lightning discharge heats air rapidly with lightning channels reaching temperatures of up to 50,000 degrees Fahrenheit (which is...

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Determine if Input is Oddish or Evenish (Odd/Even Sum of Digits)
Given a positive integer n, determine whether n is "oddish" or "evenish" - that is, whether the sum of the digits of n is odd or...

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