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134 lines
4.2 KiB
134 lines
4.2 KiB
import math
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import sys
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DIM = 10
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def main():
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groups = sys.stdin.read().rstrip().split("\n\n")
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tiles = {}
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for group in groups:
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lines = [line.rstrip() for line in group.splitlines()]
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tile_id = int(lines[0][5:].rstrip(":"))
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tiles[tile_id] = list(map(list, lines[1:]))
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idim = int(math.sqrt(len(tiles)))
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# Part 1
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# instructions are not very clean, but looks like we only have to check 3
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# rotations + optionally horizontal flip. vertical flip is not needed on
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# example, and a vflip is actually rot180 + hflip.
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perms = {}
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for tile_id, tile in tiles.items():
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perms[tile_id] = permutations(tile)
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image = search({}, 0, 0, [], perms, idim)
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tl = image[(0, 0)]
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tr = image[(0, idim - 1)]
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bl = image[(idim - 1, 0)]
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br = image[(idim - 1, idim - 1)]
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print("Multiplied corners:", tl[0] * tr[0] * bl[0] * br[0])
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# Part 2
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pattern = [
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(0, 0), (1, 1),
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(4, 1), (5, 0), (6, 0), (7, 1),
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(10, 1), (11, 0), (12, 0), (13, 1),
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(16, 1), (17, 0), (18, 0), (18, -1), (19, 0)
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]
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merged = merge_tiles(image, perms, idim)
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global DIM
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DIM = len(merged)
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perms = permutations(merged)
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max_monsters = max(find_monsters(perm, pattern) for perm in perms)
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num_dashes = sum(c == "#" for row in merged for c in row)
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monster_dashes = max_monsters * len(pattern)
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print("Roughness:", num_dashes - monster_dashes)
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def permutations(tile):
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return [
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tile,
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hflip(tile),
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rot90(tile),
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rot90(hflip(tile)),
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rot90(rot90(tile)),
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rot90(rot90(hflip(tile))),
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rot90(rot90(rot90(tile))),
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rot90(rot90(rot90(hflip(tile)))),
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]
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def rot90(tile):
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rtile = [[None for _ in range(DIM)] for _ in range(DIM)]
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for x in range(DIM):
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for y in range(DIM):
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rtile[x][y] = tile[DIM - y - 1][x]
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return rtile
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def hflip(tile):
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return [row[::] for row in tile[::-1]]
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def search(image, x, y, placed, perms, idim):
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fitting = find_fitting(image, x, y, placed, perms)
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if (x, y) == (idim - 1, idim - 1) and len(fitting) == 1:
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image[(idim - 1, idim - 1)] = fitting[0]
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return image
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for fit in fitting:
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nimage = image.copy()
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nimage[(x, y)] = fit
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nx = (x + 1) % idim
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ny = y if nx > 0 else y + 1
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nplaced = placed + [fit[0]]
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if (complete_image := search(nimage, nx, ny, nplaced, perms, idim)):
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return complete_image
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def find_fitting(image, x, y, placed, perms):
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up_perm = image.get((x, y - 1))
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up = perms[up_perm[0]][up_perm[1]] if up_perm else None
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left_perm = image.get((x - 1, y))
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left = perms[left_perm[0]][left_perm[1]] if left_perm else None
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down_perm = image.get((x, y + 1))
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down = perms[down_perm[0]][down_perm[1]] if down_perm else None
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right_perm = image.get((x + 1, y))
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right = perms[right_perm[0]][right_perm[1]] if right_perm else None
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return [
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(tile_id, tile_perm_id)
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for tile_id, tile_perms in perms.items()
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if tile_id not in placed
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for tile_perm_id, tile_perm in enumerate(tile_perms)
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if fits(tile_perm, up, left, down, right)
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]
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def fits(tile, up, left, down, right):
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return all((
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not up or tile[0] == up[-1],
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not down or tile[-1] == down[0],
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not left or [r[0] for r in tile] == [r[-1] for r in left],
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not right or [r[-1] for r in tile] == [r[0] for r in right],
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))
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def merge_tiles(image, perms, idim):
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tdim = DIM - 2
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merged = [[] for _ in range(idim * tdim)]
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for ix in range(idim):
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for iy in range(idim):
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i_tile_id, i_perm_id = image[(ix, iy)]
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tile = perms[i_tile_id][i_perm_id]
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for y, row in enumerate(tile[1:-1]):
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merged[iy * tdim + y] += row[1:-1]
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return merged
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def find_monsters(image, pattern):
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w, h = len(image[0]), len(image)
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num_monsters = 0
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for x in range(w):
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for y in range(h):
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for px, py in pattern:
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ix, iy = x + px, y + py
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if not 0 <= ix < w or not 0 <= iy < h:
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break
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if image[iy][ix] != "#":
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break
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else:
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num_monsters += 1
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return num_monsters
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if __name__ == "__main__":
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main()
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