How to resolve the algorithm Symmetric difference step by step in the J programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Symmetric difference step by step in the J programming language
Table of Contents
Problem Statement
Given two sets A and B, compute
( A ∖ B ) ∪ ( B ∖ A ) .
{\displaystyle (A\setminus B)\cup (B\setminus A).}
That is, enumerate the items that are in A or B but not both. This set is called the symmetric difference of A and B. In other words:
( A ∪ B ) ∖ ( A ∩ B )
{\displaystyle (A\cup B)\setminus (A\cap B)}
(the set of items that are in at least one of A or B minus the set of items that are in both A and B). Optionally, give the individual differences (
A ∖ B
{\displaystyle A\setminus B}
and
B ∖ A
{\displaystyle B\setminus A}
) as well.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Symmetric difference step by step in the J programming language
Source code in the j programming language
A=: ~.;:'John Serena Bob Mary Serena'
B=: ~. ;:'Jim Mary John Jim Bob'
(A-.B) , (B-.A) NB. Symmetric Difference
┌──────┬───┐
│Serena│Jim│
└──────┴───┘
A (-. , -.~) B NB. Tacit equivalent
┌──────┬───┐
│Serena│Jim│
└──────┴───┘
A -. B NB. items in A but not in B
┌──────┐
│Serena│
└──────┘
A -.~ B NB. items in B but not in A
┌───┐
│Jim│
└───┘
A NB. A is a sequence without duplicates
┌────┬──────┬───┬────┐
│John│Serena│Bob│Mary│
└────┴──────┴───┴────┘
A (, -. [ -. -.) B
┌──────┬───┐
│Serena│Jim│
└──────┴───┘
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