# Advent of Code — Day 4

Day 4 — Camp Cleanup challenge is all about dealing with intervals. Intervals are trickier and more complex than one might think. No surprise the organizer of the Advent Of Code, included them in their challenges.

I did a lot of research on intervals, and specifically *time intervals* in the past, with a specific focus on how they can be applied to Business Intelligence and more specifically to Fact Table. Couple of slide decks I created lately on the subject are the following:

As usual I’m importing the input data and storing it into a table. Input data contains *pairs* of intervals, so I’m splitting the pairs and the interval begin and end into dedicated columns, for easier manipulation:

`create table dbo.ch04_input `

(

id int identity not null primary key,

pair1_b int,

pair1_e int,

pair2_b int,

pair2_e int

);

with cteLines as

(

select

trim(replace([value], char(13), '')) as [line]

from

string_split(@input, char(10))

),

ctePairs as

(

select

left([line], charindex(',', [line])-1) as pair1,

right([line], len([line]) - charindex(',', [line])) as pair2

from

cteLines

)

insert into

dbo.ch04_input (pair1_b, pair1_e, pair2_b, pair2_e)

select

left([pair1], charindex('-', [pair1])-1) as pair1_b,

right([pair1], len([pair1]) - charindex('-', [pair1])) as pair1_e,

left([pair2], charindex('-', [pair2])-1) as pair2_b,

right([pair2], len([pair2]) - charindex('-', [pair2])) as pair2_e

from

ctePairs

the result is the following:

# Part 1

The challenges ask to find all the pairs where one interval is completely included in the other. We must use the `CONTAINS`

operator that can be expressed using simple math:

the query, therefore, is:

`select`

count(*)

from

ch04_input

where

(pair1_b >= pair2_b and pair1_e <= pair2_e) -- pair1 CONTAINS pair2

or

(pair2_b >= pair1_b and pair2_e <= pair1_e) -- pair2 CONTAINS pair1

Challenge solved.

# Part 2

The second challenge requires to find all the pairs in which interval overlaps. There’s an operator for that, and the math is even simpler:

The query then is:

`select`

count(*)

from

ch04_input a

where

(pair1_b <= pair2_e and pair2_b <= pair1_e) -- OVERLAPS

Challenge completed.

# More content

Three friends of mine, Itzik Ben-Gan, Dejan Sarka and Adam Machanic were really passionate about this subject, and they shared a lot of content on the “interval” subject over the years. As the internet continuously changes and evolves, it is not easy to find those articles. Since the challenge was quite quick to finish, I used some of the budgeted time to try to find the updated link to such content. Here you go:

- Interval Queries in SQL Server
- Intervals and Counts, Part 1
- Intervals and Counts, Part 2
- Intervals and Counts, Part 3
- T-SQL Interval Graphs Challenge, Part 1
- T-SQL Interval Graphs Challenge, Part 2
- TSQL Challenge: Packing Date and Time Intervals

And this are two entire sessions on a subject that is very much related with intervals:

Incredibly, I haven’t been able to find anything from Adam…it seems the collapse of SqlBlog.com resulted in a lot of lost knowledge :(. I’ve reached out to him; Here’s couple of post that are still available on the subject: