Day 15

Advent of Code: Worked Solutions

Setup

# Libraries
library(tidyverse)

# Read input from file
input <- read_lines("../input/day15.txt")
input_wh <- keep(input, ~ str_detect(.x, "#"))
input_mv <- keep(input, ~ str_detect(.x, "<|>|\\^|v"))

Part 1

Convert warehouse input to a row/column indexed dataframe

# Convert WH input text to a matrix
mtx <- input_wh |>
  str_split("") |> 
  matrix() |> 
  unlist() |> 
  matrix(byrow = TRUE, nrow = length(input_wh))


# Convert movement sequence to a seq of characters
move_seq <- input_mv |> 
  str_c(collapse = "") |> 
  str_split_1("")

Define function to update the map based on a single movement of the robot::

move_robot <- function(mtx, dir) {
  # Get the current coordinates of the robot
  robot <- which(mtx == "@", arr.ind = TRUE)
  row <- robot[1, "row"]
  col <- robot[1, "col"]
  
  # Define the range of matrix values to adjust according to the movement dir
  row_end <- case_match(dir, c("<", ">") ~ row, "^" ~ 1, "v" ~ nrow(mtx))
  col_end <- case_match(dir, c("^", "v") ~ col, "<" ~ 1, ">" ~ nrow(mtx))
  
  # Using obstacle logic, determine the set of new characters
  new <- tibble(
    orig = mtx[row:row_end, col:col_end],
    lag = lag(orig)
  ) |> 
    mutate(
      is_empty = orig == ".",
      is_wall  = orig == "#",
      is_blocked = accumulate(is_wall, `|`),
      is_fillable = is_empty & !is_blocked,
      first_fillable = is_fillable & !lag(accumulate(is_fillable, `|`)),
      can_move = accumulate(first_fillable, `|`, .dir = "backward"),
      new = if_else(can_move, coalesce(lag, "."), orig)
    ) |> 
    pull(new)
  
  # Replace the affected characters in the matrix and return
  mtx[row:row_end, col:col_end] <- new
  return(mtx)
}

Define a function to iteratively run the set of movements

run_simulation <- function(mtx, move_seq) {
  mtx_prv <- mtx
  for (dir in move_seq) {
    mtx_new <- move_robot(mtx_prv, dir)
    mtx_prv <- mtx_new
  }
  return(mtx_new)
}

Define a function to determine the GPS coordinates of all boxes

get_boxes_gps <- function(mtx) {
  which(mtx == "O", arr.ind = TRUE) |> 
    as_tibble() |> 
    mutate(
      gps = 100 * (row - 1) + (col - 1)
    ) |> 
    pull(gps)
}

Run puzzle input:

mtx |> 
  run_simulation(move_seq) |> 
  get_boxes_gps() |>
  sum()

[1] 1457740

Part 2

Widen the map:

# Convert WH input text to a matrix
mtx <- input_wh |> 
  str_replace_all("#", "##") |> 
  str_replace_all("O", "[]") |> 
  str_replace_all("\\.", "..") |> 
  str_replace_all("@", "@.") |>
  str_split("") |> 
  matrix() |> 
  unlist() |> 
  matrix(byrow = TRUE, nrow = length(input_wh))

Define functions to move boxes around the map:

get_box_coords <- function(mtx, box_num) {
  as_tibble(which(mtx == box_num, arr.ind = TRUE))
}

get_next_coords <- function(cur_coords, dir = c("<", "^", ">", "v")) {
  cur_coords |>
    mutate(
      row = row + case_match(dir, "^" ~ -1, "v" ~ 1, .default = 0),
      col = col + case_match(dir, "<" ~ -1, ">" ~ 1, .default = 0),
    )
}

get_next_chrs <- function(mtx, cur_coords, dir = c("<", "^", ">", "v")) {
  # Pull the values of the next cells in the intended direction
  cur_coords |>
    get_next_coords(dir) |> 
    mutate(chr = map2_chr(row, col, ~ mtx[.x, .y])) |> 
    anti_join(cur_coords, join_by(row, col)) |> 
    pull(chr) |> 
    unique()
}

is_blocked <- function(mtx, box_num, dir = c("<", "^", ">", "v")) {
  
  cur <- get_box_coords(mtx, box_num)
  nxt_chrs <- get_next_chrs(mtx, cur, dir)
  
  # Test if the current box is completely blocked or completely free
  if (any(nxt_chrs == '#')) 
    return(TRUE)
  else if (all(nxt_chrs == '.')) 
    return(FALSE)
  
  # Recurse across all later boxes 
  nxt_chrs |> 
    keep(~ str_detect(.x, "^\\d+$")) |> 
    map_lgl(~ is_blocked(mtx, .x, dir)) |> 
    any()
}

move_box <- function(mtx, box_num, dir = c("<", "^", ">", "v")) {
  # Get the coordinates of the current box and the place it'll move to
  cur <- get_box_coords(mtx, box_num)
  nxt <- get_next_coords(cur, dir)
  
  # Move all downstream boxes before moving self
  next_boxes <- get_next_chrs(mtx, cur, dir) |> 
    keep(~ str_detect(.x, "^\\d+$"))
  
  for (box in next_boxes) {
    mtx <- move_box(mtx, box, dir)
  }
  
  # # Replace the current coords with "." and the next coords with the box
  mtx[cur$row, cur$col] <- "."
  mtx[nxt$row, nxt$col] <- box_num
  
  return(mtx)
}

Loop through puzzle input:

run_simulation <- function(mtx, move_seq) {
  # Convert boxes from format "[]" into ID numbers unique to each box:
  coords <- list(l = which(mtx == "["), r = which(mtx == "]"))
  for (i in 1:length(coords$l)) {
    mtx[coords$l[i]] <- i
    mtx[coords$r[i]] <- i
  }

  # Loop through sequence of moves and apply to the map
  mtx_prv <- mtx
  for (dir in move_seq) {
    if (!is_blocked(mtx_prv, box_num = "@", dir = dir)) {
      mtx_new <- move_box(mtx_prv, box_num = "@", dir = dir)
      mtx_prv <- mtx_new
    } 
  }
  
  return(mtx_new)
}

output <- run_simulation(mtx, move_seq)

Convert the result to GPS coordinates:

output |> 
  as_tibble() |> 
  mutate(row = row_number(), .before = everything()) |> 
  pivot_longer(
    -row, 
    names_to = "col", 
    names_prefix = "V", 
    names_transform = as.integer
  ) |> 
  # Select only the leftmost cell of each boxes
  filter(str_detect(value, "\\d+")) |> 
  slice_min(col, by = value) |> 
  mutate(
    dist_top = row - 1,
    dist_left = col - 1,
    gps = 100 * dist_top + dist_left
  ) |> 
  pull(gps) |> 
  sum()

[1] 1467145