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@ -1,7 +1,7 @@
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import heapq
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from collections import defaultdict
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from typing import Any, Iterator, TypeAlias
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import networkx as nx
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from ..base import BaseSolver
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Position: TypeAlias = tuple[int, int]
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@ -18,41 +18,45 @@ class Solver(BaseSolver):
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target = next(
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(i, j) for i in range(n_rows) for j in range(n_cols) if grid[i][j] == "E"
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)
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facing = (0, 1)
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G = nx.DiGraph()
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queue: list[tuple[int, Position, Direction, tuple[Position, ...]]] = [
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(0, rein, (0, 1), (rein,))
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]
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for i in range(1, n_rows - 1):
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for j in range(1, n_cols - 1):
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if grid[i][j] == "#":
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continue
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max_score = n_rows * n_cols * 1000
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target_score: int = max_score
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scores: dict[tuple[Position, Direction], int] = defaultdict(lambda: max_score)
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visited: set[Position] = set()
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for di, dj in ((-1, 0), (0, 1), (1, 0), (0, -1)):
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if grid[i + di][j + dj] != "#":
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G.add_edge(
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((i, j), (di, dj)), ((i + di, j + dj), (di, dj)), weight=1
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)
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while queue:
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score, pos, dir, path = heapq.heappop(queue)
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if di == 0:
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G.add_edge(((i, j), (di, dj)), ((i, j), (1, 0)), weight=1000)
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G.add_edge(((i, j), (di, dj)), ((i, j), (-1, 0)), weight=1000)
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else:
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G.add_edge(((i, j), (di, dj)), ((i, j), (0, 1)), weight=1000)
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G.add_edge(((i, j), (di, dj)), ((i, j), (0, -1)), weight=1000)
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if target_score < score:
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break
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for di, dj in ((-1, 0), (0, 1), (1, 0), (0, -1)):
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G.add_edge((target, (di, dj)), (target, (-1, -1)), weight=0)
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if pos == target:
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target_score = score
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visited |= set(path)
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continue
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yield nx.shortest_path_length(
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G,
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source=(rein, facing),
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target=(target, (-1, -1)),
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weight="weight",
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)
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scores[pos, dir] = score
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nodes: set[tuple[int, int]] = set()
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for path in nx.all_shortest_paths(
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G, source=(rein, facing), target=(target, (-1, -1)), weight="weight"
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):
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nodes.update(position for position, _ in path)
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yield len(nodes)
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row, col = pos
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d_row, d_col = dir
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for cost, n_pos, n_dir in (
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(1, (row + d_row, col + d_col), dir),
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(1000, pos, (1, 0) if d_row == 0 else (0, 1)),
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(1000, pos, (-1, 0) if d_row == 0 else (0, -1)),
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):
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n_row, n_col = n_pos
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score_n = score + cost
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if grid[n_row][n_col] != "#" and score_n < scores[n_pos, n_dir]:
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heapq.heappush(
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queue,
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(score_n, n_pos, n_dir, path + (n_pos,)),
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)
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assert target_score is not None
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yield target_score
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yield len(visited)
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