Day 11: Cosmic Expansion

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  • janAkali
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    1 year ago

    Nim

    Part 1 and 2: I solved today’s puzzle without expanding the universe. Path in expanded universe is just a path in the original grid + expansion rate times the number of crossed completely-empty lines (both horizontal and vertical). For example, if a single tile after expansion become 5 tiles (rate = +4), original path was 12 and it crosses 7 lines, new path will be: 12 + 4 * 7 = 40.
    The shortest path is easy to calculate in O(1) time: abs(start.x - finish.x) + abs(start.y - finish.y).
    And to count crossed lines I just check if line is between the start and finish indexes.

    Total runtime: 2.5 ms
    Puzzle rating: 7/10 Code: day_11/solution.nim
    Snippet:

    proc solve(lines: seq[string]): AOCSolution[int] =
      let
        galaxies = lines.getGalaxies()
        emptyLines = lines.emptyLines()
        emptyColumns = lines.emptyColumns()
    
      for gi, g1 in galaxies:
        for g2 in galaxies[gi+1..^1]:
          let path = shortestPathLength(g1, g2)
          let crossedLines = countCrossedLines(g1, g2, emptyColumns, emptyLines)
          block p1:
            result.part1 += path + crossedLines * 1
          block p2:
            result.part2 += path + crossedLines * 999_999