Problem 9 Given a binary tree, return the level order traversal of its nodes' values. (i.e., from left to right, level by level). levelOrder: 'a tree -> 'a list list Example: Given a treet: the returned result of levelOrder t should be a nested list [[41]; [20;65]; [11; 29; 50;91]; [32; 72; 99]]. The i th elment of the nested list is a list of tree elements at the i th level of the tree t from left to right. You may need to define a recursive auxiliary function. Note: OCaml queues are mutable first-in-first-out (FIFO) data structures, and hence are not functional. Since our goal is to practice functional programming, please do not use OCaml queues for this assignment. You may find the List.mapi function particularly useful. In [] let levelOrder t = (* YOUR CODE HERE *) In [] assert (levelOrder (construct [41; 65; 20; 11;50;91; 29;99; 32;72]) = [[41]; [20;65]; [11; 29; 50;91]; [32; 72; 99]])

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Problem 9
Given a binary tree, return the level order traversal of its nodes' values. (i.e., from left to right, level by level).
In [ ]:
levelOrder : a tree -> 'a list list
Example: Given a tree t :
In [] let levelOrder t =
11
20
(* YOUR CODE HERE *)
29
32
41
50
65
assert (levelOrder (construct [41; 65; 20; 11;50;91; 29;99; 32;72])
72
the returned result of levelOrder t should be a nested list [[ 41 ] ; [ 20; 65 ] ; [11; 29; 50;91]; [32; 72; 99]]. The i th elment of the nested list is a
list of tree elements at the i th level of the tree t from left to right. You may need to define a recursive auxiliary function.
91
Note: OCaml queues are mutable first-in-first-out (FIFO) data structures, and hence are not functional. Since our goal is to practice functional programming,
please do not use OCaml queues for this assignment.
You may find the List.mapi function particularly useful.
99
=
[ [41]; [20;65]; [11; 29; 50; 91]; [32; 72; 99]])
Transcribed Image Text:Problem 9 Given a binary tree, return the level order traversal of its nodes' values. (i.e., from left to right, level by level). In [ ]: levelOrder : a tree -> 'a list list Example: Given a tree t : In [] let levelOrder t = 11 20 (* YOUR CODE HERE *) 29 32 41 50 65 assert (levelOrder (construct [41; 65; 20; 11;50;91; 29;99; 32;72]) 72 the returned result of levelOrder t should be a nested list [[ 41 ] ; [ 20; 65 ] ; [11; 29; 50;91]; [32; 72; 99]]. The i th elment of the nested list is a list of tree elements at the i th level of the tree t from left to right. You may need to define a recursive auxiliary function. 91 Note: OCaml queues are mutable first-in-first-out (FIFO) data structures, and hence are not functional. Since our goal is to practice functional programming, please do not use OCaml queues for this assignment. You may find the List.mapi function particularly useful. 99 = [ [41]; [20;65]; [11; 29; 50; 91]; [32; 72; 99]])
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