104 lines
		
	
	
		
			3.8 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
			
		
		
	
	
			104 lines
		
	
	
		
			3.8 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
| # Advent of Code
 | ||
| 
 | ||
| --- Day 5: Hydrothermal Venture ---
 | ||
| 
 | ||
|    You come across a field of hydrothermal vents on the ocean floor! These vents constantly produce large, opaque clouds, so it would be best to avoid them if possible.
 | ||
| 
 | ||
|    They tend to form in lines; the submarine helpfully produces a list of nearby lines of vents (your puzzle input) for you to review. For example:
 | ||
| 
 | ||
|  0,9 -> 5,9
 | ||
|  8,0 -> 0,8
 | ||
|  9,4 -> 3,4
 | ||
|  2,2 -> 2,1
 | ||
|  7,0 -> 7,4
 | ||
|  6,4 -> 2,0
 | ||
|  0,9 -> 2,9
 | ||
|  3,4 -> 1,4
 | ||
|  0,0 -> 8,8
 | ||
|  5,5 -> 8,2
 | ||
| 
 | ||
|    Each line of vents is given as a line segment in the format x1,y1 -> x2,y2 where x1,y1 are the coordinates of one end the line segment and x2,y2 are the coordinates of the other end. These line segments include the points at both
 | ||
|    ends. In other words:
 | ||
| 
 | ||
|      • An entry like 1,1 -> 1,3 covers points 1,1, 1,2, and 1,3.
 | ||
|      • An entry like 9,7 -> 7,7 covers points 9,7, 8,7, and 7,7.
 | ||
| 
 | ||
|    For now, only consider horizontal and vertical lines: lines where either x1 = x2 or y1 = y2.
 | ||
| 
 | ||
|    So, the horizontal and vertical lines from the above list would produce the following diagram:
 | ||
| 
 | ||
|  .......1..
 | ||
|  ..1....1..
 | ||
|  ..1....1..
 | ||
|  .......1..
 | ||
|  .112111211
 | ||
|  ..........
 | ||
|  ..........
 | ||
|  ..........
 | ||
|  ..........
 | ||
|  222111....
 | ||
| 
 | ||
|    In this diagram, the top left corner is 0,0 and the bottom right corner is 9,9. Each position is shown as the number of lines which cover that point or . if no line covers that point. The top-left pair of 1s, for example, comes
 | ||
|    from 2,2 -> 2,1; the very bottom row is formed by the overlapping lines 0,9 -> 5,9 and 0,9 -> 2,9.
 | ||
| 
 | ||
|    To avoid the most dangerous areas, you need to determine the number of points where at least two lines overlap. In the above example, this is anywhere in the diagram with a 2 or larger - a total of 5 points.
 | ||
| 
 | ||
|    Consider only horizontal and vertical lines. At how many points do at least two lines overlap?
 | ||
| 
 | ||
|    Your puzzle answer was 5632.
 | ||
| 
 | ||
| --- Part Two ---
 | ||
| 
 | ||
|    Unfortunately, considering only horizontal and vertical lines doesn't give you the full picture; you need to also consider diagonal lines.
 | ||
| 
 | ||
|    Because of the limits of the hydrothermal vent mapping system, the lines in your list will only ever be horizontal, vertical, or a diagonal line at exactly 45 degrees. In other words:
 | ||
| 
 | ||
|      • An entry like 1,1 -> 3,3 covers points 1,1, 2,2, and 3,3.
 | ||
|      • An entry like 9,7 -> 7,9 covers points 9,7, 8,8, and 7,9.
 | ||
| 
 | ||
|    Considering all lines from the above example would now produce the following diagram:
 | ||
| 
 | ||
|  1.1....11.
 | ||
|  .111...2..
 | ||
|  ..2.1.111.
 | ||
|  ...1.2.2..
 | ||
|  .112313211
 | ||
|  ...1.2....
 | ||
|  ..1...1...
 | ||
|  .1.....1..
 | ||
|  1.......1.
 | ||
|  222111....
 | ||
| 
 | ||
|    You still need to determine the number of points where at least two lines overlap. In the above example, this is still anywhere in the diagram with a 2 or larger - now a total of 12 points.
 | ||
| 
 | ||
|    Consider all of the lines. At how many points do at least two lines overlap?
 | ||
| 
 | ||
|    Your puzzle answer was 22213.
 | ||
| 
 | ||
|    Both parts of this puzzle are complete! They provide two gold stars: **
 | ||
| 
 | ||
|    At this point, you should return to your Advent calendar and try another puzzle.
 | ||
| 
 | ||
|    If you still want to see it, you can get your puzzle input.
 | ||
| 
 | ||
| References
 | ||
| 
 | ||
|    Visible links
 | ||
|    . https://adventofcode.com/
 | ||
|    . https://adventofcode.com/2021/about
 | ||
|    . https://adventofcode.com/2021/events
 | ||
|    . https://adventofcode.com/2021/settings
 | ||
|    . https://adventofcode.com/2021/auth/logout
 | ||
|    . Advent of Code Supporter
 | ||
| 	https://adventofcode.com/2021/support
 | ||
|    . https://adventofcode.com/2021
 | ||
|    . https://adventofcode.com/2021
 | ||
|    . https://adventofcode.com/2021/support
 | ||
|    . https://adventofcode.com/2021/sponsors
 | ||
|    . https://adventofcode.com/2021/leaderboard
 | ||
|    . https://adventofcode.com/2021/stats
 | ||
|    . https://adventofcode.com/2021/sponsors
 | ||
|    . https://en.wikipedia.org/wiki/Hydrothermal_vent
 | ||
|    . https://adventofcode.com/2021
 | ||
|    . https://adventofcode.com/2021/day/5/input
 |