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Solved
Convert integers from primary notation to base 10
The primary system of expressing numbers has three digits: m, x, and p, which correspond to -1, 0, and 1. The places in a primar...
2 dagen ago
Solved
Count the primes resulting from changing one digit of a number
If you start with the number 24 and seek primes by changing a single digit, you can find two: 23 and 29. If you start with 130, ...
2 dagen ago
Solved
Solve an easy binary puzzle
A binary puzzle presents a square grid (or matrix) of cells in which each cell must be 0 or 1. The finished puzzle must follow t...
2 dagen ago
Solved
Convert integers from base 10 to proper primary notation
This problem is the companion to Cody Problem 60782. The proper primary system of expressing numbers has three digits: m, x, and...
10 dagen ago
Solved
Indicate how the Prague astronomical clock strikes the hours
The astronomical clock in Prague has a bell that rings 1, 2, 3, or 4 times. The number of strokes follows the sequence 123432123...
11 dagen ago
Solved
Play Hocus Focus
The card game Hocus Focus starts by placing twelve cards with wizards face up on a table. The characteristics of the wizards tha...
19 dagen ago
Solved
Express integers in negabinary
Negabinary numbers are written in base -2. For example, the negabinary number 11010 is , or 6 in base 10. In a similar way, -3 i...
19 dagen ago
Solved
Reverse Boggle
Description In the classic Parker Brothers game Boggle, players find words from a 4x4 game board of letters. This exercise is t...
ongeveer een maand ago
Solved
Complete hydraulic geometry relations
Hydraulic geometry relations express the velocity , width , and depth of a river as a function of the discharge (or flow) , whi...
ongeveer een maand ago
Solved
Identify de Polignac numbers
The numbers 125 and 329 can be written as the sum of a prime and a power of 2. For example, , and . The numbers 127 and 331, whi...
ongeveer 2 maanden ago
Solved
Goldbach's marginal conjecture - Write integer as sum of three primes
Goldbach's strong conjecture states that every even integer greater than 2 can be expressed as the sum of two primes. For exampl...
ongeveer 2 maanden ago
Solved
Lah Numbers
Create a square lower diagonal matrix containing the first n Lah number coefficients. In mathematics, the Lah numbers are coeffi...
ongeveer 2 maanden ago
Solved
Find the next Fibonacci number
In the sequence of Fibonacci numbers, every number is the sum of the two preceding ones: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55...
ongeveer 2 maanden ago
Solved
Determine whether a number is a Ludic prime
Ludic numbers are formed by a sieve. Start with a list of the positive integers. Skip 1 and start with 2. Then delete every seco...
ongeveer 2 maanden ago
Solved
Identify points inside a Reuleaux triangle
Write a function to identify points that lie in or on a Realeaux triangle, which is a curve of constant width. The input to the ...
ongeveer 2 maanden ago
Solved
Find the closest canyon prime
My wife and I celebrated our honeymoon and most recent anniversary in Yellowstone and Grand Teton National Parks. After returnin...
2 maanden ago
Solved
Build a block Toeplitz matrix
A symmetric block Toeplitz matrix has the form, where the are compatibly-sized matrices. Write a routi...
2 maanden ago
Solved
List composite numbers that do not contain their prime factors as substrings
The number 63 has the prime factorization 3, 3, and 7, and it contains one of them (3) as a substring. In contrast, the number 4...
2 maanden ago
Solved
Sum along each diagonal of a matrix
Write a routine that returns the sums along the diagonals of a given matrix, A, where the first diagonal is the bottom left corn...
2 maanden ago
Solved
2x2 binning of a large sparse matrix
Consider the 20000 x 20000 sparse matrix, A=round(sprand(2e4,2e4,1/1e4*100)*1000); The task is to divide this matrix into 2x...
3 maanden ago
Solved
Throwing Dice - Will You Be Eaten By The Dragon?
You and a dragon have agreed to let dice rolls determine whether it eats you or not. The dragon will roll a single die, of x si...
3 maanden ago
Solved
List the partitions of an integer
Several Cody problems deal with partitions of an integer, or the ways an integer can be written as the sum of positive numbers—...
3 maanden ago
Solved
Compute the dispersion coefficient
A contaminant dumped or spilled into a river will move downstream with the flow, but it will also spread in the flow direction b...
3 maanden ago
Solved
Describe n from right to left
If you were to describe the number 46 from right to left, you could say “one 6, one 4”, or 1614. The number 8663 would be “one 3...
3 maanden ago
Solved
Extend the digamma function to negative arguments
While solving one of Ramon Villamangca’s problems, I needed the value of , where is the digamma function. However, MATLAB’s fun...
3 maanden ago
Solved
List Ormiston prime pairs
The numbers 1913 and 1931 form the first Ormiston prime pair. The numbers are consecutive primes, and they are anagrams of each ...
3 maanden ago
Solved
Moyenne pondérée
Ecrire une fonction qui prend en entrée un vecteur P et un vecteur V et calcule la moyenne pondérée MP des élements vi d'un vec...
4 maanden ago
Solved
Special matrix
Make a square matrix with this shape. For n=4 M = 1 1 0 0 1 0 1 0 0 1 0 ...
4 maanden ago
Solved
Explore the twin prime Goldbach conjecture
The Goldbach conjecture says that every positive even integer greater than 2 can be expressed as the sum of two prime numbers in...
4 maanden ago
Solved
Write a code to implement Euler's method to integrate a simple function
Euler's method approximates the solution to a differential equation as where . The challenge is to write a code that can take...
4 maanden ago