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- #!/usr/bin/env python3
- import sys
- from collections import deque
- from itertools import chain, permutations
- def read_grid(f):
- rows = [line.rstrip() for line in f]
- return list(chain.from_iterable(rows)), len(rows[0])
- def shortest_paths(grid, w):
- def bfs(start):
- dists = [0] * nlocs
- work = deque([(start, 0)])
- explored = {start}
- while work:
- loc, dist = work.popleft()
- node = grid[loc]
- if node.isdigit():
- dists[int(node)] = dist
- for nb in (loc - 1, loc + 1, loc - w, loc + w):
- if grid[nb] != '#' and nb not in explored:
- explored.add(nb)
- work.append((nb, dist + 1))
- return dists
- nlocs = max(int(x) for x in grid if x.isdigit()) + 1
- return [bfs(grid.index(str(i))) for i in range(nlocs)]
- def visit_steps(dists, back):
- dists = shortest_paths(grid, w)
- best = 100000000
- for path in permutations(range(1, len(dists))):
- total = 0
- prev = 0
- for loc in path:
- total += dists[prev][loc]
- prev = loc
- if back:
- total += dists[prev][0]
- best = min(best, total)
- return best
- grid, w = read_grid(sys.stdin)
- dists = shortest_paths(grid, w)
- print(visit_steps(dists, False))
- print(visit_steps(dists, True))
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