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Solved
Update course numbers and abbreviations
Suppose that the educational institution where you teach purchases new software to handle many essential functions, including co...
23 hours ago
Solved
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...
23 hours ago
Solved
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...
23 hours ago
Solved
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...
24 hours ago
Solved
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...
24 hours ago
Solved
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 ...
24 hours ago
Solved
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 ...
1 day ago
Solved
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...
1 day ago
Solved
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...
1 day ago
Solved
Determine whether a number is a Higgs prime
If the sequence lists the Higgs primes, then is the smallest prime greater than such that divides the product . The first fo...
1 day ago
Solved
Compute the water table in a layered unconfined aquifer
Write a function to compute the flow per unit width and the elevation of the water table above the bottom of unconfined aquifer ...
1 day ago
Solved
Find the smallest number leading to a maximal product of two numbers that concatenate to another number
Cody Problem 58971 involves the maximal product of numbers that concatenate to a number . For example, if , then the products ar...
1 day ago
Solved
Compute the maximal product of any two numbers whose concatenation is n
Write a function that takes an input and computes the maximal product of numbers that concatenate to . For example, if , then t...
2 days ago
Solved
Find the nine-point circle of a triangle
Cody Problem 1336 asks us to find the circle that circumscribes a triangle, and Cody Problem 58354 asks us to find the circle th...
2 days ago
Solved
Count collisions in an idealized block system
Two blocks, which have masses and , slide along a frictionless, semi-infinite track bounded by a stationary wall. Initially blo...
2 days ago
Solved
Find the altitudes of a triangle
Write a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the coord...
2 days ago
Solved
Determine whether a number is prome
In discussing the unique factorization of numbers in Elementary Number Theory, Underwood Dudley devised a new number system: “C...
2 days ago
Solved
Classify water surface profiles
Problem statement Write a function to classify the water surface profile starting at depth in a channel with longitudinal slop...
2 days ago
Solved
List numbers that cannot be expressed as the sum of fewer than four squares
Lagrange proved that all positive integers can be expressed as the sum of four squares. For example, 27 = 16 + 9 + 1 + 1. Howeve...
2 days ago
Solved
Find the circle inscribed in a triangle
Write a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the cente...
2 days ago
Solved
Compute the critical depth of a channel
Problem statement Write a function to compute the critical depth of a channel with discharge . The unit system will be specifie...
2 days ago
Solved
Compute the normal depth of a channel
For steady uniform flow in a channel of constant cross section and slope, the depth does not change with distance or time. In th...
2 days ago
Solved
Decode a message encrypted with the square root of 2
Cody Problem 58299 asks you to encrypt a message by changing all letters to uppercase and randomly choosing a position of the AS...
2 days ago
Solved
Encrypt a message with the square root of 2
Suppose you want to encrypt the word ‘TWIN’. The ASCII codes for the four letters are 84, 87, 73, and 78. If you consider the fr...
2 days ago
Solved
Find a number m such that 2m and the square of m have the same digit sum
The number has the property that and have the same digit sum. It is the seventh number, including zero, in the sequence of nu...
2 days ago
Solved
Determine the minimum number of swaps to sort a vector
Cody Problem 1401 asks us to sort a vector with the bubble sort algorithm and count the number of swaps needed. For example, to ...
2 days ago
Solved
Compute flow in a partially full pipe
Problem statement When does the maximum flow occur in a pipe? Intuition might suggest that it occurs when the pipe is flowing f...
2 days ago
Solved
Route a hydrograph through a river section with the Muskingum method
Problem statement Write a function that routes a hydrograph through a river section using the Muskingum method. The input to t...
2 days ago
Solved
Solve an ODE: draining tank
Write a function to compute the time to drain a cylindrical tank of diameter from an initial level to a level . The outflow oc...
2 days ago
Solved
Compute infiltration and runoff under constant precipitation with the Green-Ampt method
Problem statement Write a function that computes infiltration, depression storage, and runoff using the Green-Ampt method. It s...
2 days ago
