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2024/day14/problem

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+Advent of Code
+
+--- Day 14: Restroom Redoubt ---
+
+   One of The Historians needs to use the bathroom; fortunately, you know
+   there's a bathroom near an unvisited location on their list, and so you're
+   all quickly teleported directly to the lobby of Easter Bunny Headquarters.
+
+   Unfortunately, EBHQ seems to have "improved" bathroom security again after
+   your last [16]visit. The area outside the bathroom is swarming with
+   robots!
+
+   To get The Historian safely to the bathroom, you'll need a way to predict
+   where the robots will be in the future. Fortunately, they all seem to be
+   moving on the tile floor in predictable straight lines.
+
+   You make a list (your puzzle input) of all of the robots' current
+   positions (p) and velocities (v), one robot per line. For example:
+
+ p=0,4 v=3,-3
+ p=6,3 v=-1,-3
+ p=10,3 v=-1,2
+ p=2,0 v=2,-1
+ p=0,0 v=1,3
+ p=3,0 v=-2,-2
+ p=7,6 v=-1,-3
+ p=3,0 v=-1,-2
+ p=9,3 v=2,3
+ p=7,3 v=-1,2
+ p=2,4 v=2,-3
+ p=9,5 v=-3,-3
+
+   Each robot's position is given as p=x,y where x represents the number of
+   tiles the robot is from the left wall and y represents the number of tiles
+   from the top wall (when viewed from above). So, a position of p=0,0 means
+   the robot is all the way in the top-left corner.
+
+   Each robot's velocity is given as v=x,y where x and y are given in tiles
+   per second. Positive x means the robot is moving to the right, and
+   positive y means the robot is moving down. So, a velocity of v=1,-2 means
+   that each second, the robot moves 1 tile to the right and 2 tiles up.
+
+   The robots outside the actual bathroom are in a space which is 101 tiles
+   wide and 103 tiles tall (when viewed from above). However, in this
+   example, the robots are in a space which is only 11 tiles wide and 7 tiles
+   tall.
+
+   The robots are good at navigating over/under each other (due to a
+   combination of springs, extendable legs, and quadcopters), so they can
+   share the same tile and don't interact with each other. Visually, the
+   number of robots on each tile in this example looks like this:
+
+ 1.12.......
+ ...........
+ ...........
+ ......11.11
+ 1.1........
+ .........1.
+ .......1...
+
+   These robots have a unique feature for maximum bathroom security: they can
+   teleport. When a robot would run into an edge of the space they're in,
+   they instead teleport to the other side, effectively wrapping around the
+   edges. Here is what robot p=2,4 v=2,-3 does for the first few seconds:
+
+ Initial state:
+ ...........
+ ...........
+ ...........
+ ...........
+ ..1........
+ ...........
+ ...........
+
+ After 1 second:
+ ...........
+ ....1......
+ ...........
+ ...........
+ ...........
+ ...........
+ ...........
+
+ After 2 seconds:
+ ...........
+ ...........
+ ...........
+ ...........
+ ...........
+ ......1....
+ ...........
+
+ After 3 seconds:
+ ...........
+ ...........
+ ........1..
+ ...........
+ ...........
+ ...........
+ ...........
+
+ After 4 seconds:
+ ...........
+ ...........
+ ...........
+ ...........
+ ...........
+ ...........
+ ..........1
+
+ After 5 seconds:
+ ...........
+ ...........
+ ...........
+ .1.........
+ ...........
+ ...........
+ ...........
+
+   The Historian can't wait much longer, so you don't have to simulate the
+   robots for very long. Where will the robots be after 100 seconds?
+
+   In the above example, the number of robots on each tile after 100 seconds
+   has elapsed looks like this:
+
+ ......2..1.
+ ...........
+ 1..........
+ .11........
+ .....1.....
+ ...12......
+ .1....1....
+
+   To determine the safest area, count the number of robots in each quadrant
+   after 100 seconds. Robots that are exactly in the middle (horizontally or
+   vertically) don't count as being in any quadrant, so the only relevant
+   robots are:
+
+ ..... 2..1.
+ ..... .....
+ 1.... .....
+
+ ..... .....
+ ...12 .....
+ .1... 1....
+
+   In this example, the quadrants contain 1, 3, 4, and 1 robot. Multiplying
+   these together gives a total safety factor of 12.
+
+   Predict the motion of the robots in your list within a space which is 101
+   tiles wide and 103 tiles tall. What will the safety factor be after
+   exactly 100 seconds have elapsed?
+
+   Your puzzle answer was 218965032.
+
+--- Part Two ---
+
+   During the bathroom break, someone notices that these robots seem awfully
+   similar to ones built and used at the North Pole. If they're the same type
+   of robots, they should have a hard-coded Easter egg: very rarely, most of
+   the robots should arrange themselves into a picture of a Christmas tree.
+
+   What is the fewest number of seconds that must elapse for the robots to
+   display the Easter egg?
+
+   Your puzzle answer was 7037.
+
+   Both parts of this puzzle are complete! They provide two gold stars: **
+
+   At this point, you should [17]return to your Advent calendar and try
+   another puzzle.
+
+   If you still want to see it, you can [18]get your puzzle input.
+
+References
+
+   Visible links
+   1. https://adventofcode.com/
+   2. https://adventofcode.com/2024/about
+   3. https://adventofcode.com/2024/events
+   4. https://cottonbureau.com/people/advent-of-code
+   5. https://adventofcode.com/2024/settings
+   6. https://adventofcode.com/2024/auth/logout
+   7. Advent of Code Supporter
+	https://adventofcode.com/2024/support
+   8. https://adventofcode.com/2024
+   9. https://adventofcode.com/2024
+  10. https://adventofcode.com/2024/support
+  12. https://adventofcode.com/2024/leaderboard
+  13. https://adventofcode.com/2024/stats
+  16. https://adventofcode.com/2016/day/2
+  17. https://adventofcode.com/2024
+  18. https://adventofcode.com/2024/day/14/input