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LINQ implements Cartesian product
Suppose you have a class structure where a person owns multiple dogs and each dog has multiple puppies, and you want to find a LINQ solution to generate all possible combinations of puppies, one for each combination from each dog Choose a puppy.
The concept of Cartesian product applies here, which involves multiplying sets to produce unique combinations of elements. While SQL tables provide a simple solution for this, LINQ provides an elegant approach.
First, consider the case where the number of sets (dogs) is known at compile time. You can use a simple LINQ query:
<code>var combinations = from p1 in dog1.Puppies from p2 in dog2.Puppies from p3 in dog3.Puppies select new {p1, p2, p3};</code>
This query will generate a series of anonymous types, each type representing a combination of puppies in each dog.
However, where the number of collections is not known at compile time, a more dynamic approach is required. You can refer to Eric Lippert's article to learn how to use LINQ to calculate the Cartesian product:
https://www.php.cn/link/f28c49d8be62973ac7716e0b87dae2f9
After getting the CartesianProduct method:
<code>var combinations = CartesianProduct(from dog in person.Dogs select dog.Puppies);</code>
This will return a sequence of sequences, where each inner sequence contains a combination of one puppy from each dog.
To summarize, whether the number of dogs is static or dynamic, you can use LINQ to generate the desired combination of puppies.
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