Write a F# function, count, to search a tree defined by the following discriminated union. It is an unbalanced tree composed of nodes with either two or three children.

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Write a F# function, count, to search a tree defined by the following discriminated union. It is an
unbalanced tree composed of nodes with either two or three children.
type Tree23 =
| Empty
| Node2 of int * Tree23 * Tree23
| Node3 of int * Tree23 * Tree23 * Tree23
Your search should traverse the entire tree looking for the given search item amongst all the
integer values. It returns the number of times the searched for item is found in the values of all
the tree nodes.
> count 4 (Node2 (4, Node2 (2, Empty, Empty), Node3 (4, Empty, Empty,
Empty)))
val it : int = 2
Transcribed Image Text:Write a F# function, count, to search a tree defined by the following discriminated union. It is an unbalanced tree composed of nodes with either two or three children. type Tree23 = | Empty | Node2 of int * Tree23 * Tree23 | Node3 of int * Tree23 * Tree23 * Tree23 Your search should traverse the entire tree looking for the given search item amongst all the integer values. It returns the number of times the searched for item is found in the values of all the tree nodes. > count 4 (Node2 (4, Node2 (2, Empty, Empty), Node3 (4, Empty, Empty, Empty))) val it : int = 2
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