2025 Day 7 Complete!

2025/day07/problem

@@ -0,0 +1,274 @@
+Advent of Code
+   br0xen [7](AoC++) 14*
+
+--- Day 7: Laboratories ---
+
+   You thank the cephalopods for the help and exit the trash compactor,
+   finding yourself in the [16]familiar [17]halls of a North Pole research
+   wing.
+
+   Based on the large sign that says "teleporter hub", they seem to be
+   researching teleportation; you can't help but try it for yourself and step
+   onto the large yellow teleporter pad.
+
+   Suddenly, you find yourself in an unfamiliar room! The room has no doors;
+   the only way out is the teleporter. Unfortunately, the teleporter seems to
+   be leaking [18]magic smoke.
+
+   Since this is a teleporter lab, there are lots of spare parts, manuals,
+   and diagnostic equipment lying around. After connecting one of the
+   diagnostic tools, it helpfully displays error code 0H-N0, which apparently
+   means that there's an issue with one of the tachyon manifolds.
+
+   You quickly locate a diagram of the tachyon manifold (your puzzle input).
+   A tachyon beam enters the manifold at the location marked S; tachyon beams
+   always move downward. Tachyon beams pass freely through empty space (.).
+   However, if a tachyon beam encounters a splitter (^), the beam is stopped;
+   instead, a new tachyon beam continues from the immediate left and from the
+   immediate right of the splitter.
+
+   For example:
+
+ .......S.......
+ ...............
+ .......^.......
+ ...............
+ ......^.^......
+ ...............
+ .....^.^.^.....
+ ...............
+ ....^.^...^....
+ ...............
+ ...^.^...^.^...
+ ...............
+ ..^...^.....^..
+ ...............
+ .^.^.^.^.^...^.
+ ...............
+
+   In this example, the incoming tachyon beam (|) extends downward from S
+   until it reaches the first splitter:
+
+ .......S.......
+ .......|.......
+ .......^.......
+ ...............
+ ......^.^......
+ ...............
+ .....^.^.^.....
+ ...............
+ ....^.^...^....
+ ...............
+ ...^.^...^.^...
+ ...............
+ ..^...^.....^..
+ ...............
+ .^.^.^.^.^...^.
+ ...............
+
+   At that point, the original beam stops, and two new beams are emitted from
+   the splitter:
+
+ .......S.......
+ .......|.......
+ ......|^|......
+ ...............
+ ......^.^......
+ ...............
+ .....^.^.^.....
+ ...............
+ ....^.^...^....
+ ...............
+ ...^.^...^.^...
+ ...............
+ ..^...^.....^..
+ ...............
+ .^.^.^.^.^...^.
+ ...............
+
+   Those beams continue downward until they reach more splitters:
+
+ .......S.......
+ .......|.......
+ ......|^|......
+ ......|.|......
+ ......^.^......
+ ...............
+ .....^.^.^.....
+ ...............
+ ....^.^...^....
+ ...............
+ ...^.^...^.^...
+ ...............
+ ..^...^.....^..
+ ...............
+ .^.^.^.^.^...^.
+ ...............
+
+   At this point, the two splitters create a total of only three tachyon
+   beams, since they are both dumping tachyons into the same place between
+   them:
+
+ .......S.......
+ .......|.......
+ ......|^|......
+ ......|.|......
+ .....|^|^|.....
+ ...............
+ .....^.^.^.....
+ ...............
+ ....^.^...^....
+ ...............
+ ...^.^...^.^...
+ ...............
+ ..^...^.....^..
+ ...............
+ .^.^.^.^.^...^.
+ ...............
+
+   This process continues until all of the tachyon beams reach a splitter or
+   exit the manifold:
+
+ .......S.......
+ .......|.......
+ ......|^|......
+ ......|.|......
+ .....|^|^|.....
+ .....|.|.|.....
+ ....|^|^|^|....
+ ....|.|.|.|....
+ ...|^|^|||^|...
+ ...|.|.|||.|...
+ ..|^|^|||^|^|..
+ ..|.|.|||.|.|..
+ .|^|||^||.||^|.
+ .|.|||.||.||.|.
+ |^|^|^|^|^|||^|
+ |.|.|.|.|.|||.|
+
+   To repair the teleporter, you first need to understand the beam-splitting
+   properties of the tachyon manifold. In this example, a tachyon beam is
+   split a total of 21 times.
+
+   Analyze your manifold diagram. How many times will the beam be split?
+
+   Your puzzle answer was 1600.
+
+--- Part Two ---
+
+   With your analysis of the manifold complete, you begin fixing the
+   teleporter. However, as you open the side of the teleporter to replace the
+   broken manifold, you are surprised to discover that it isn't a classical
+   tachyon manifold - it's a quantum tachyon manifold.
+
+   With a quantum tachyon manifold, only a single tachyon particle is sent
+   through the manifold. A tachyon particle takes both the left and right
+   path of each splitter encountered.
+
+   Since this is impossible, the manual recommends the many-worlds
+   interpretation of quantum tachyon splitting: each time a particle reaches
+   a splitter, it's actually time itself which splits. In one timeline, the
+   particle went left, and in the other timeline, the particle went right.
+
+   To fix the manifold, what you really need to know is the number of
+   timelines active after a single particle completes all of its possible
+   journeys through the manifold.
+
+   In the above example, there are many timelines. For instance, there's the
+   timeline where the particle always went left:
+
+ .......S.......
+ .......|.......
+ ......|^.......
+ ......|........
+ .....|^.^......
+ .....|.........
+ ....|^.^.^.....
+ ....|..........
+ ...|^.^...^....
+ ...|...........
+ ..|^.^...^.^...
+ ..|............
+ .|^...^.....^..
+ .|.............
+ |^.^.^.^.^...^.
+ |..............
+
+   Or, there's the timeline where the particle alternated going left and
+   right at each splitter:
+
+ .......S.......
+ .......|.......
+ ......|^.......
+ ......|........
+ ......^|^......
+ .......|.......
+ .....^|^.^.....
+ ......|........
+ ....^.^|..^....
+ .......|.......
+ ...^.^.|.^.^...
+ .......|.......
+ ..^...^|....^..
+ .......|.......
+ .^.^.^|^.^...^.
+ ......|........
+
+   Or, there's the timeline where the particle ends up at the same point as
+   the alternating timeline, but takes a totally different path to get there:
+
+ .......S.......
+ .......|.......
+ ......|^.......
+ ......|........
+ .....|^.^......
+ .....|.........
+ ....|^.^.^.....
+ ....|..........
+ ....^|^...^....
+ .....|.........
+ ...^.^|..^.^...
+ ......|........
+ ..^..|^.....^..
+ .....|.........
+ .^.^.^|^.^...^.
+ ......|........
+
+   In this example, in total, the particle ends up on 40 different timelines.
+
+   Apply the many-worlds interpretation of quantum tachyon splitting to your
+   manifold diagram. In total, how many different timelines would a single
+   tachyon particle end up on?
+
+   Your puzzle answer was 8632253783011.
+
+   Both parts of this puzzle are complete! They provide two gold stars: **
+
+   At this point, you should [19]return to your Advent calendar and try
+   another puzzle.
+
+   If you still want to see it, you can [20]get your puzzle input.
+
+References
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+  16. https://adventofcode.com/2024/day/6
+  17. https://adventofcode.com/2018/day/4
+  18. https://en.wikipedia.org/wiki/Magic_smoke
+  19. https://adventofcode.com/2025
+  20. https://adventofcode.com/2025/day/7/input