2022: init day 16
This commit is contained in:
183
2022/day16/README.org
Normal file
183
2022/day16/README.org
Normal file
@@ -0,0 +1,183 @@
|
||||
** --- Day 16: Proboscidea Volcanium ---
|
||||
The sensors have led you to the origin of the distress signal: yet
|
||||
another handheld device, just like the one the Elves gave you. However,
|
||||
you don't see any Elves around; instead, the device is surrounded by
|
||||
elephants! They must have gotten lost in these tunnels, and one of the
|
||||
elephants apparently figured out how to turn on the distress signal.
|
||||
|
||||
The ground rumbles again, much stronger this time. What kind of cave is
|
||||
this, exactly? You scan the cave with your handheld device; it reports
|
||||
mostly igneous rock, some ash, pockets of pressurized gas, magma... this
|
||||
isn't just a cave, it's a volcano!
|
||||
|
||||
You need to get the elephants out of here, quickly. Your device
|
||||
estimates that you have /30 minutes/ before the volcano erupts, so you
|
||||
don't have time to go back out the way you came in.
|
||||
|
||||
You scan the cave for other options and discover a network of pipes and
|
||||
pressure-release /valves/. You aren't sure how such a system got into a
|
||||
volcano, but you don't have time to complain; your device produces a
|
||||
report (your puzzle input) of each valve's /flow rate/ if it were opened
|
||||
(in pressure per minute) and the tunnels you could use to move between
|
||||
the valves.
|
||||
|
||||
There's even a valve in the room you and the elephants are currently
|
||||
standing in labeled =AA=. You estimate it will take you one minute to
|
||||
open a single valve and one minute to follow any tunnel from one valve
|
||||
to another. What is the most pressure you could release?
|
||||
|
||||
For example, suppose you had the following scan output:
|
||||
|
||||
#+begin_example
|
||||
Valve AA has flow rate=0; tunnels lead to valves DD, II, BB
|
||||
Valve BB has flow rate=13; tunnels lead to valves CC, AA
|
||||
Valve CC has flow rate=2; tunnels lead to valves DD, BB
|
||||
Valve DD has flow rate=20; tunnels lead to valves CC, AA, EE
|
||||
Valve EE has flow rate=3; tunnels lead to valves FF, DD
|
||||
Valve FF has flow rate=0; tunnels lead to valves EE, GG
|
||||
Valve GG has flow rate=0; tunnels lead to valves FF, HH
|
||||
Valve HH has flow rate=22; tunnel leads to valve GG
|
||||
Valve II has flow rate=0; tunnels lead to valves AA, JJ
|
||||
Valve JJ has flow rate=21; tunnel leads to valve II
|
||||
#+end_example
|
||||
|
||||
All of the valves begin /closed/. You start at valve =AA=, but it must
|
||||
be damaged or jammed or something: its flow rate is =0=, so there's no
|
||||
point in opening it. However, you could spend one minute moving to valve
|
||||
=BB= and another minute opening it; doing so would release pressure
|
||||
during the remaining /28 minutes/ at a flow rate of =13=, a total
|
||||
eventual pressure release of =28 * 13 = 364=. Then, you could spend your
|
||||
third minute moving to valve =CC= and your fourth minute opening it,
|
||||
providing an additional /26 minutes/ of eventual pressure release at a
|
||||
flow rate of =2=, or =52= total pressure released by valve =CC=.
|
||||
|
||||
Making your way through the tunnels like this, you could probably open
|
||||
many or all of the valves by the time 30 minutes have elapsed. However,
|
||||
you need to release as much pressure as possible, so you'll need to be
|
||||
methodical. Instead, consider this approach:
|
||||
|
||||
#+begin_example
|
||||
== Minute 1 ==
|
||||
No valves are open.
|
||||
You move to valve DD.
|
||||
|
||||
== Minute 2 ==
|
||||
No valves are open.
|
||||
You open valve DD.
|
||||
|
||||
== Minute 3 ==
|
||||
Valve DD is open, releasing 20 pressure.
|
||||
You move to valve CC.
|
||||
|
||||
== Minute 4 ==
|
||||
Valve DD is open, releasing 20 pressure.
|
||||
You move to valve BB.
|
||||
|
||||
== Minute 5 ==
|
||||
Valve DD is open, releasing 20 pressure.
|
||||
You open valve BB.
|
||||
|
||||
== Minute 6 ==
|
||||
Valves BB and DD are open, releasing 33 pressure.
|
||||
You move to valve AA.
|
||||
|
||||
== Minute 7 ==
|
||||
Valves BB and DD are open, releasing 33 pressure.
|
||||
You move to valve II.
|
||||
|
||||
== Minute 8 ==
|
||||
Valves BB and DD are open, releasing 33 pressure.
|
||||
You move to valve JJ.
|
||||
|
||||
== Minute 9 ==
|
||||
Valves BB and DD are open, releasing 33 pressure.
|
||||
You open valve JJ.
|
||||
|
||||
== Minute 10 ==
|
||||
Valves BB, DD, and JJ are open, releasing 54 pressure.
|
||||
You move to valve II.
|
||||
|
||||
== Minute 11 ==
|
||||
Valves BB, DD, and JJ are open, releasing 54 pressure.
|
||||
You move to valve AA.
|
||||
|
||||
== Minute 12 ==
|
||||
Valves BB, DD, and JJ are open, releasing 54 pressure.
|
||||
You move to valve DD.
|
||||
|
||||
== Minute 13 ==
|
||||
Valves BB, DD, and JJ are open, releasing 54 pressure.
|
||||
You move to valve EE.
|
||||
|
||||
== Minute 14 ==
|
||||
Valves BB, DD, and JJ are open, releasing 54 pressure.
|
||||
You move to valve FF.
|
||||
|
||||
== Minute 15 ==
|
||||
Valves BB, DD, and JJ are open, releasing 54 pressure.
|
||||
You move to valve GG.
|
||||
|
||||
== Minute 16 ==
|
||||
Valves BB, DD, and JJ are open, releasing 54 pressure.
|
||||
You move to valve HH.
|
||||
|
||||
== Minute 17 ==
|
||||
Valves BB, DD, and JJ are open, releasing 54 pressure.
|
||||
You open valve HH.
|
||||
|
||||
== Minute 18 ==
|
||||
Valves BB, DD, HH, and JJ are open, releasing 76 pressure.
|
||||
You move to valve GG.
|
||||
|
||||
== Minute 19 ==
|
||||
Valves BB, DD, HH, and JJ are open, releasing 76 pressure.
|
||||
You move to valve FF.
|
||||
|
||||
== Minute 20 ==
|
||||
Valves BB, DD, HH, and JJ are open, releasing 76 pressure.
|
||||
You move to valve EE.
|
||||
|
||||
== Minute 21 ==
|
||||
Valves BB, DD, HH, and JJ are open, releasing 76 pressure.
|
||||
You open valve EE.
|
||||
|
||||
== Minute 22 ==
|
||||
Valves BB, DD, EE, HH, and JJ are open, releasing 79 pressure.
|
||||
You move to valve DD.
|
||||
|
||||
== Minute 23 ==
|
||||
Valves BB, DD, EE, HH, and JJ are open, releasing 79 pressure.
|
||||
You move to valve CC.
|
||||
|
||||
== Minute 24 ==
|
||||
Valves BB, DD, EE, HH, and JJ are open, releasing 79 pressure.
|
||||
You open valve CC.
|
||||
|
||||
== Minute 25 ==
|
||||
Valves BB, CC, DD, EE, HH, and JJ are open, releasing 81 pressure.
|
||||
|
||||
== Minute 26 ==
|
||||
Valves BB, CC, DD, EE, HH, and JJ are open, releasing 81 pressure.
|
||||
|
||||
== Minute 27 ==
|
||||
Valves BB, CC, DD, EE, HH, and JJ are open, releasing 81 pressure.
|
||||
|
||||
== Minute 28 ==
|
||||
Valves BB, CC, DD, EE, HH, and JJ are open, releasing 81 pressure.
|
||||
|
||||
== Minute 29 ==
|
||||
Valves BB, CC, DD, EE, HH, and JJ are open, releasing 81 pressure.
|
||||
|
||||
== Minute 30 ==
|
||||
Valves BB, CC, DD, EE, HH, and JJ are open, releasing 81 pressure.
|
||||
#+end_example
|
||||
|
||||
This approach lets you release the most pressure possible in 30 minutes
|
||||
with this valve layout, =1651=.
|
||||
|
||||
Work out the steps to release the most pressure in 30 minutes. /What is
|
||||
the most pressure you can release?/
|
||||
|
||||
To begin, [[file:16/input][get your puzzle input]].
|
||||
|
||||
Answer:
|
||||
Reference in New Issue
Block a user