SQL Taskbook Level 8.10 of the SQL task book

The tables are given:

authors
id	first_name	last_name
id	first_name	last_name
1	Jack	Brown
2	John	Doe
3	Max	White

tags
id	name
1	IT
1	PHP
2	JavaScript
3	React
4	Angular
5	Vue.js
6	C/C++
7	Rust

posts
id	title	likes	author_id
1	Lorem ipsum	3810	2
2	Lorem ipsum dolor sit amet	1913	2
3	Lorem ipsum dolor sit	4111	1
4	Lorem ipsum dolor	6700	3

post_tag
id	post_id	tag_id
1	1	1
2	1	2
3	1	3
4	1	4
5	1	5
6	2	7
7	2	6
8	2	5
9	2	1
10	2	3
11	3	1
12	3	7
13	3	5
14	3	6
15	4	5
16	4	1
17	4	7
18	4	6

Solve the following tasks for them:

Find the author with the most tagged posts. Output the author's name, the number of such posts, and a list of these posts.

Find the tags that appear in posts the most times from different authors. Output the name of the tags, the number of unique authors using this tag, and a list of these authors.

id	post_id	tag_id
1	1	1
2	1	2
3	1	3
4	1	4
5	1	5
6	2	7
7	2	6
8	2	5
9	2	1
10	2	3
11	3	1
12	3	7
13	3	5
14	3	6
15	4	5
16	4	1
17	4	7
18	4	6

id	post_id	tag_id
1	1	1
2	1	2
3	1	3
4	1	4
5	1	5
6	2	7
7	2	6
8	2	5
9	2	1
10	2	3
11	3	1
12	3	7
13	3	5
14	3	6
15	4	5
16	4	1
17	4	7
18	4	6

id	post_id	tag_id
1	1	1
2	1	2
3	1	3
4	1	4
5	1	5
6	2	7
7	2	6
8	2	5
9	2	1
10	2	3
11	3	1
12	3	7
13	3	5
14	3	6
15	4	5
16	4	1
17	4	7
18	4	6