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:

Задание 1

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

Задание 2

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