How Can LINQ Efficiently Determine if One Array is a Subset of Another?

Efficiently use LINQ to determine the relationship between array subsets

Determining whether an array is a subset of another array is a common programming task. Here, subset refers to a set whose all elements are present in the parent array. This relationship can be determined efficiently using the power of LINQ (Language Integrated Query).

Suppose we have two lists:

<code>List<double> t1 = new List<double> { 1, 3, 5 };
List<double> t2 = new List<double> { 1, 5 };</code>

Our goal is to use LINQ to determine whether t2 is a subset of t1.

To do this, we can use the Except operator to exclude elements in t1 that are not present in t2. If the resulting list is empty, it means that every element in t2 is present in t1, indicating that t2 is indeed a subset of t1.

The following LINQ expression encapsulates this logic:

<code>bool isSubset = !t2.Except(t1).Any();</code>

If the value of isSubset is true, then it is confirmed that t2 is a subset of t1. On the contrary, if isSubset is false, then t2 is not a subset of t1.

In our example, since every element in t2 (i.e. 1 and 5) is also present in t1, the Except operation will produce an empty list and the expression will evaluate to true, thus confirming t2 is a subset of t1.

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