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2022 Day 16 Complete

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Advent of Code
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br0xen (AoC++) 47*
--- 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 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!
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 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.
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?
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:
@@ -55,16 +33,14 @@
Valve II has flow rate=0; tunnels lead to valves AA, JJ
Valve JJ has flow rate=21; tunnel leads to valve II
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.
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:
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:
== Minute 1 ==
No valves are open.
@@ -184,11 +160,93 @@
Work out the steps to release the most pressure in 30 minutes. What is the most pressure you can release?
To begin, get your puzzle input.
Your puzzle answer was 1862.
Answer: _____________________ [ [Submit] ]
--- Part Two ---
You can also [Shareon Twitter Mastodon] this puzzle.
You're worried that even with an optimal approach, the pressure released won't be enough. What if you got one of the elephants to help you?
It would take you 4 minutes to teach an elephant how to open the right valves in the right order, leaving you with only 26 minutes to actually execute
your plan. Would having two of you working together be better, even if it means having less time? (Assume that you teach the elephant before opening any
valves yourself, giving you both the same full 26 minutes.)
In the example above, you could teach the elephant to help you as follows:
== Minute 1 ==
No valves are open.
You move to valve II.
The elephant moves to valve DD.
== Minute 2 ==
No valves are open.
You move to valve JJ.
The elephant opens valve DD.
== Minute 3 ==
Valve DD is open, releasing 20 pressure.
You open valve JJ.
The elephant moves to valve EE.
== Minute 4 ==
Valves DD and JJ are open, releasing 41 pressure.
You move to valve II.
The elephant moves to valve FF.
== Minute 5 ==
Valves DD and JJ are open, releasing 41 pressure.
You move to valve AA.
The elephant moves to valve GG.
== Minute 6 ==
Valves DD and JJ are open, releasing 41 pressure.
You move to valve BB.
The elephant moves to valve HH.
== Minute 7 ==
Valves DD and JJ are open, releasing 41 pressure.
You open valve BB.
The elephant opens valve HH.
== Minute 8 ==
Valves BB, DD, HH, and JJ are open, releasing 76 pressure.
You move to valve CC.
The elephant moves to valve GG.
== Minute 9 ==
Valves BB, DD, HH, and JJ are open, releasing 76 pressure.
You open valve CC.
The elephant moves to valve FF.
== Minute 10 ==
Valves BB, CC, DD, HH, and JJ are open, releasing 78 pressure.
The elephant moves to valve EE.
== Minute 11 ==
Valves BB, CC, DD, HH, and JJ are open, releasing 78 pressure.
The elephant opens valve EE.
(At this point, all valves are open.)
== Minute 12 ==
Valves BB, CC, DD, EE, HH, and JJ are open, releasing 81 pressure.
...
== Minute 20 ==
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.
With the elephant helping, after 26 minutes, the best you could do would release a total of 1707 pressure.
With you and an elephant working together for 26 minutes, what is the most pressure you could release?
Your puzzle answer was 2422.
Both parts of this puzzle are complete! They provide two gold stars: **
References
@@ -196,7 +254,6 @@ References
. https://adventofcode.com/
. https://adventofcode.com/2022/about
. https://adventofcode.com/2022/events
. https://teespring.com/stores/advent-of-code
. https://adventofcode.com/2022/settings
. https://adventofcode.com/2022/auth/logout
. Advent of Code Supporter
@@ -208,7 +265,5 @@ References
. https://adventofcode.com/2022/leaderboard
. https://adventofcode.com/2022/stats
. https://adventofcode.com/2022/sponsors
. https://sentry.io/
. https://adventofcode.com/2022
. https://adventofcode.com/2022/day/16/input
. https://twitter.com/intent/tweet?text=%22Proboscidea+Volcanium%22+%2D+Day+16+%2D+Advent+of+Code+2022&url=https%3A%2F%2Fadventofcode%2Ecom%2F2022%2Fday%2F16&related=ericwastl&hashtags=AdventOfCode
. javascript:void(0);