Write a function buckets : ('a -> 'a > bool) -> 'a list -> 'a list list that partitions a list into equivalence classes. That is, buckets equiv 1st should return a list of lists where each sublist in the result contains equivalent elements, where two elements are considered equivalent if equiv returns true. For example: buckets () [1;2;3;4] = [[1]; [2]; [3]; [4]] buckets () [1; 2; 3; 4; 2; 3; 4;3;4] = [[1]; [2; 2]; [3; 3; 3]; [4; 4; 4]] buckets (fun x y-> (=) (x mod 3) (y mod 3)) [1; 2; 3; 4; 5; 6] = [[1;4]; [2;5]; [3;6]] The order of the buckets must reflect the order in which the elements appear in the original list. For example, the output of buckets (=) [1;2;3;4] should be [[1]; [2] ; [3]; [4]] and not [[2]; [1]; [3];[4]] or any other permutation. The order of the elements in each bucket must reflect the order in which the elements appear in the original list. For example, the output of buckets (fun x y-> (=) (x mod 3) (y mod 3)) [1; 2; 3; 4; 5; 6] should be [[1;4]; [2;5]; [3;6]] and not [[4;1]; [5;2]; [3; 6]] or any other

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
icon
Concept explainers
Question

Just OCAML Code thank you

Problem 3
In [ ]:
Write a function
buckets : ('a -> 'a -> bool) -> 'a list -> 'a list list
that partitions a list into equivalence classes. That is, buckets equiv 1st should return a list of lists where each sublist in the result contains equivalent
elements, where two elements are considered equivalent if equiv returns true. For example:
buckets (=) [1; 2; 3; 4] = [[1]; [2] ; [3]; [4]]
buckets (=) [1; 2; 3; 4; 2; 3; 4; 3; 4]
buckets (fun x y -> (=) (x mod 3)
[[1;4]; [2;5]; [3; 6]]
The order of the buckets must reflect the order in which the elements appear in the original list. For example, the output of buckets (=) [1;2;3;4]
should be [[1] ; [2] ; [3] ; [4]] and not [[2]; [¹]; [3]; [4]] or any other permutation.
=
The order of the elements in each bucket must reflect the order in which the elements appear in the original list. For example, the output of buckets (fun x
y -> (=) (x mod 3) (y mod 3)) [1; 2; 3; 4; 5; 6] should be [[1;4]; [2;5]; [3;6]] and not [[4;1]; [5;2]; [3;6]] or any other
permutations.
Just use lists. Do not use sets or hash tables.
[[1]; [2; 2]; [3; 3; 3]; [4; 4;4]]
(y mod 3)) [1; 2; 3; 4; 5; 6]
Assume that the comparison function ('a -> 'a -> bool) is commutative, associative and idempotent.
In [] let buckets p 1 =
List append function @ may come in handy. [1;2;3] @ [4;5;6]
(* YOUR CODE HERE *)
assert (buckets (=) [1; 2; 3; 4] [[¹]; [2] ; [3]; [4]]);
assert (buckets (=) [1; 2; 3; 4; 2; 3; 4; 3; 4]
assert (buckets (fun x y -> (=) (x mod 3)
=
=
[1; 2; 3; 4; 5; 6].
[[1]; [2; 2]; [3; 3; 3]; [4; 4; 4]]);
(y mod 3)) [1; 2; 3; 4; 5; 6]
=
[[1;4]; [2;5]; [3; 6]])
Transcribed Image Text:Problem 3 In [ ]: Write a function buckets : ('a -> 'a -> bool) -> 'a list -> 'a list list that partitions a list into equivalence classes. That is, buckets equiv 1st should return a list of lists where each sublist in the result contains equivalent elements, where two elements are considered equivalent if equiv returns true. For example: buckets (=) [1; 2; 3; 4] = [[1]; [2] ; [3]; [4]] buckets (=) [1; 2; 3; 4; 2; 3; 4; 3; 4] buckets (fun x y -> (=) (x mod 3) [[1;4]; [2;5]; [3; 6]] The order of the buckets must reflect the order in which the elements appear in the original list. For example, the output of buckets (=) [1;2;3;4] should be [[1] ; [2] ; [3] ; [4]] and not [[2]; [¹]; [3]; [4]] or any other permutation. = The order of the elements in each bucket must reflect the order in which the elements appear in the original list. For example, the output of buckets (fun x y -> (=) (x mod 3) (y mod 3)) [1; 2; 3; 4; 5; 6] should be [[1;4]; [2;5]; [3;6]] and not [[4;1]; [5;2]; [3;6]] or any other permutations. Just use lists. Do not use sets or hash tables. [[1]; [2; 2]; [3; 3; 3]; [4; 4;4]] (y mod 3)) [1; 2; 3; 4; 5; 6] Assume that the comparison function ('a -> 'a -> bool) is commutative, associative and idempotent. In [] let buckets p 1 = List append function @ may come in handy. [1;2;3] @ [4;5;6] (* YOUR CODE HERE *) assert (buckets (=) [1; 2; 3; 4] [[¹]; [2] ; [3]; [4]]); assert (buckets (=) [1; 2; 3; 4; 2; 3; 4; 3; 4] assert (buckets (fun x y -> (=) (x mod 3) = = [1; 2; 3; 4; 5; 6]. [[1]; [2; 2]; [3; 3; 3]; [4; 4; 4]]); (y mod 3)) [1; 2; 3; 4; 5; 6] = [[1;4]; [2;5]; [3; 6]])
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Types of Linked List
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education