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
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
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Types of Linked List
A sequence of data elements connected through links is called a linked list (LL). The elements of a linked list are nodes containing data and a reference to the next node in the list. In a linked list, the elements are stored in a non-contiguous manner and the linear order in maintained by means of a pointer associated with each node in the list which is used to point to the subsequent node in the list.
Linked List
When a set of items is organized sequentially, it is termed as list. Linked list is a list whose order is given by links from one item to the next. It contains a link to the structure containing the next item so we can say that it is a completely different way to represent a list. In linked list, each structure of the list is known as node and it consists of two fields (one for containing the item and other one is for containing the next item address).
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Just OCAML Code thank you
![**Problem 3**
Write a function
```
buckets : ('a -> 'a -> bool) -> 'a list -> 'a list list
```
that partitions a list into equivalence classes. That is, `buckets equiv lst` 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:
```ocaml
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 permutations.
Assume that the comparison function `('a -> 'a -> bool)` is commutative, associative, and idempotent.
Use just lists. Do not use sets or hash tables.
List append function `@` may come in handy. `[1;2;3] @ [4;5;6] = [1;2;3;4;5;6]`.
```ocaml
In [ ]:
let buckets p l =
(* YOUR CODE HERE *)
In [](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95a918cc-648a-4ba1-8333-a4ee16085cbc%2F119b2854-4d76-4c44-b523-a2f86c15d211%2Fjof0rqq_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 3**
Write a function
```
buckets : ('a -> 'a -> bool) -> 'a list -> 'a list list
```
that partitions a list into equivalence classes. That is, `buckets equiv lst` 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:
```ocaml
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 permutations.
Assume that the comparison function `('a -> 'a -> bool)` is commutative, associative, and idempotent.
Use just lists. Do not use sets or hash tables.
List append function `@` may come in handy. `[1;2;3] @ [4;5;6] = [1;2;3;4;5;6]`.
```ocaml
In [ ]:
let buckets p l =
(* YOUR CODE HERE *)
In [
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