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Generating Cartesian Products of Puppy Sets Using LINQ
LINQ offers an elegant solution for creating Cartesian products, mirroring SQL's functionality. Let's illustrate this with a scenario involving people, their dogs, and the puppies each dog has. The objective is to generate all possible puppy combinations, selecting one puppy from each dog owned by a person.
Known Number of Sets
If the number of dog sets (and therefore puppy sets) is predetermined, a straightforward LINQ query suffices:
<code class="language-csharp">from p1 in dog1.Puppies from p2 in dog2.Puppies from p3 in dog3.Puppies select new { p1, p2, p3 };</code>
This query produces all combinations of puppies, one from each of dog1
, dog2
, and dog3
.
Unknown Number of Sets
Handling an unknown number of dog sets requires a more flexible approach:
CartesianProduct<T>
Method: A recursive method CartesianProduct<T>
is created. This method accepts a sequence of IEnumerable<T>
representing the puppy sets.
Recursive Implementation: The CartesianProduct<T>
method recursively generates all possible combinations from the input sequences.
Using this method, the Cartesian product is obtained concisely:
<code class="language-csharp">CartesianProduct(from dog in person.Dogs select dog.Puppies);</code>
This single line generates all possible puppy combinations, ensuring one puppy is selected from each dog belonging to the person.
This LINQ-based approach, leveraging set operations and recursion, efficiently generates Cartesian products regardless of the number of input sets, providing a powerful and adaptable solution.
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