How to design reasonable database?

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I'm very new about relational-database and wonder how should I design my database generally like case as follows:

Conditions

  1. There are five articles in my apps and those are able to be bookmarked by users and also those articles are defined as uniqe articleid like a,b,c,d,e.
  2. There are three users in my apps and users are defined as uniqe userid like 1,2,3.
  3. Finally, I should manage or control the relations of which articles are bookmarked by specified users.

I leard that I can choose following ways technically but wonder which shuold be choosed for good paerformance and maitainance genellary.

■ case1 Managing those relations in single table. allmixedtable

userid articleid
1 a
1 c
1 d
2 d
3 b
3 e

■ case2 Creating usertable and managing those relations in several tables respectivley.

user1table

articleid
a
c
d

user2table

articleid
d

user3table

articleid
b
e

■ case3 Managing those relations in sigle table as array

userid articleid
1 [a,c,d]
2 [d]
3 [b,e]

I feel case1 is the best but in terms of performance of serching certin records using userid key others could be better. I understand that it depends on a situation but want to know as general thinking. I'll do appreciate your helpful comment, thank you!

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