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Category Archives: combinatorics
Review posted: “The Modern C# Challenge”
The Modern C# Challenge: Become an expert C# programmer by solving interesting programming problems Clock End Gooner has posted a review of my latest book, The Modern C# Challenge: Become an expert C# programmer by solving interesting programming problems. Please … Continue reading
Posted in books, combinatorics, cryptography, geometry, mathematics
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Find two sets where the median of one is the mean of the other and vice versa in C#
For an upcoming book, I wanted to find sets where the mean (average) of one is the median (middle value) of the other and vice versa. I wanted to avoid trivial examples such as {1, 1, 1} and where the … Continue reading
Posted in algorithms, combinatorics
Tagged algorithms, C#, C# programming, combinatorics, example, example program, mean, median, sets, statistics, Windows Forms programming
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Display team names for a round robin tournament in C#
The example Generate a schedule for a round robin tournament in C# explains how you can generate a schedule for a round robin tournament. This example simply adds the ability to display the schedule using the team names instead of … Continue reading
Linkback to the Secret Santa Problem
Tom left a comment to my post Calculate the number of secret Santa permutations in C#. He used that example to build a site in JavaScript explaining how the algorithm works. It’s a pretty cool little page. Drop by and … Continue reading
Generate a schedule for a round robin tournament in C#
Click here to see a description of the algorithm the program uses to schedule a round robin tournament. Function GenerateRoundRobinOdd returns an array where results[i, j] gives the opponent of team i in round j of the round robin tournament. … Continue reading
Send secret Santa emails in C#
This example shows how you can automatically send secret Santa emails for a party. The example Pick a secret Santa assignment in C# shows how you can quickly make secret Santa assignments. The post Calculate the number of secret Santa … Continue reading
Calculate the number of secret Santa permutations in C#
The example Pick a secret Santa assignment in C# picks a valid permutation of the people so no one is mapped to himself or herself. Such a permutation is called a derangement. See that example for details. The number of … Continue reading
Pick a secret Santa assignment in C#
In a secret Santa party, you put everyone’s names in a hat and people draw from the hat. Each person becomes the secret Santa for the person he draws and gets that person a present for the party. To keep … Continue reading
Calculate the factorial function and use Debug.Assert in C#
The factorial of a number N is written N! and has the value 1 * 2 * 3 * … * N. By definition, 0! = 1. The value N! gives the number of permutations of a set of N … Continue reading