The Look and say sequence is a recursively defined sequence of numbers studied most notably by John Conway. Sequence Definition Take a decimal
Continue ReadingC++: Hamming Numbers
Hamming numbers are numbers of the form . Hamming numbers are also known as ugly numbers and also 5-smooth numbers (numbers whose prime div
Continue ReadingC++: Simple Moving Average
Computing the simple moving average of a series of numbers. The task is to: Create a stateful function/class/instance that takes a period and
Continue ReadingC++: Multifactorial
The factorial of a number, written as n! is defined as n! = n(n − 1)(n − 2)...(2)(1) A generalization of this is the multifactorials where:
Continue ReadingC++: GUI Component Interaction
Almost every application needs to communicate with the user in some way. Therefore, a substantial part of the code deals with the interaction of progr
Continue ReadingC++: Root Mean Square
Compute the Root mean square of the numbers 1..10. The root mean square is also known by its initial RMS (or rms), and as the quadratic mean. Th
Continue ReadingC++: Matrix Exponentiation Operator
Most programming languages have a built-in implementation of exponentiation for integers and reals only. Demonstrate how to implement matrix expone
Continue ReadingC++: Forward Difference
Provide code that produces a list of numbers which is the n-th order forward difference, given a non-negative integer (specifying the order) and a lis
Continue ReadingC++: Balanced Ternary
Balanced ternary is a way of representing numbers. Unlike the prevailing binary representation, a balanced ternary integer is in base 3, and each digi
Continue ReadingC++: Hofstadter-Conway $10,000 Sequence
The definition of the sequence is colloquially described as: Starting with the list [1,1], Take the last number in the list so far: 1, I'll ca
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