from collections import deque # Define the possible connections for each pipe type pipe_connections = { '═': {'left': (0, -1), 'right': (0, 1)}, '║': {'up': (-1, 0), 'down': (1, 0)}, '╔': {'right': (0, 1), 'down': (1, 0)}, '╗': {'left': (0, -1), 'down': (1, 0)}, '╚': {'right': (0, 1), 'up': (-1, 0)}, '╝': {'left': (0, -1), 'up': (-1, 0)}, '╠': {'right': (0, 1), 'down': (1, 0), 'up': (-1, 0)}, '╣': {'left': (0, -1), 'down': (1, 0), 'up': (-1, 0)}, '╦': {'left': (0, -1), 'right': (0, 1), 'down': (1, 0)}, '╩': {'left': (0, -1), 'right': (0, 1), 'up': (-1, 0)} } # Define reverse connections for bidirectional checking reverse_directions = { 'left': 'right', 'right': 'left', 'up': 'down', 'down': 'up' } # Helper function to get all valid neighbors based on pipe type and connectivity def get_neighbors(grid, row, col): neighbors = [] cell = grid[row][col] if cell in pipe_connections: for direction, (dr, dc) in pipe_connections[cell].items(): nr, nc = row + dr, col + dc if 0 <= nr < len(grid) and 0 <= nc < len(grid[0]): neighbor_cell = grid[nr][nc] if neighbor_cell == '*' or neighbor_cell.isupper(): neighbors.append((nr, nc)) elif neighbor_cell in pipe_connections: if reverse_directions[direction] in pipe_connections[neighbor_cell]: neighbors.append((nr, nc)) return neighbors def is_connected(grid, start): rows, cols = len(grid), len(grid[0]) queue = deque([start]) visited = set([start]) connected_sinks = set() while queue: r, c = queue.popleft() for nr, nc in get_neighbors(grid, r, c): if (nr, nc) not in visited: visited.add((nr, nc)) queue.append((nr, nc)) if grid[nr][nc].isupper(): connected_sinks.add(grid[nr][nc]) return connected_sinks def find_connected_sinks(grid): # Locate the source start = None for r in range(len(grid)): for c in range(len(grid[0])): if grid[r][c] == '*': start = (r, c) break if start: break if not start: return set() # No source found return is_connected(grid, start) # Example usage
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9 1 ╩ 26 15 ╣ 48 9 ╣ 18 19 ╠ 8 18 ╩ 22 12 ╠ 2 27 ╩ 41 4 ╩ 2 0 ╔ 38 28 ╠ 11 8 ╦ 22 0 ╦ 17 22 ╩ 26 4 ╩ 19 20 ╩ 47 13 ╦ 6 28 ╩ 49 5 ╩ 45 0 ╠ 1 9 ╣ 47 26 ╣ 42 28 ╦ 5 26 ╦ 44 2 ╠ 38 21 ╠ 17 13 ╩ 28 8 ╗ 22 23 ╠ 24 2 ╩ 31 18 ╩ 12 20 ╦ 11 11 ╣ 35 19 ╣ 41 6 ╦ 40 11 ╠ 45 17 ╚ 4 28 ╩ 46 4 ╦ 37 18 ╠ 18 5 ╩ 27 2 ╣ 47 25 ╩ 5 4 ╠ 47 3 ╩ 21 26 ╩ 28 1 ╦ 43 26 ╦ 38 12 ╩ 32 20 ╩ 41 11 ╩ 10 22 ╠ 14 2 ╠ 12 22 ╦ 27 6 ╩ 30 29 ╩ 31 2 ╩ 36 5 ╩ 19 27 ╣ 28 14 ╦ 9 26 ╣ 26 16 ╣ 19 8 ╣ 22 3 ╩ 21 0 ╣ 33 24 ╩ 47 17 ╚ 25 4 ╦ 5 18 K 22 27 ╠ 30 4 ╠ 14 4 ╣ 18 27 ╦ 18 23 ╣ 34 24 ╣ 9 16 ╣ 13 2 ╔ 20 27 ╦ 32 7 ╝ 44 8 ╗ 6 2 ╚ 26 10 ╦ 30 14 ╠ 49 25 ╩ 38 27 ╣ 29 7 ╦ 26 1 ╦ 45 15 ╦ 24 19 ╗ 17 11 ╣ 38 11 ╣ 7 8 ╣ 15 7 ╩ 15 8 ╝ 37 20 ╣ 40 18 ╠ 48 2 ╩ 43 13 ╣ 38 26 ╣ 34 7 ╠ 34 9 ╦ 11 2 ╣ 21 7 ╦ 33 21 ╠ 10 23 ╠ 4 0 ╠ 19 12 ╠ 18 24 ╩ 29 2 ╦ 39 8 ╣ 14 0 ╣ 8 16 ╠ 30 23 ╠ 27 7 ╔ 11 7 ═ 12 17 ║ 27 19 ╣ 43 22 ╦ 20 3 ║ 40 7 ╩ 44 10 ╩ 35 21 ╩ 11 17 ╔ 49 3 ╦ 16 4 ╠ 15 17 ═ 31 24 ╩ 34 15 ╚ 35 6 ║ 6 29 ╦ 25 22 ╦ 6 26 ╩ 34 8 ╠ 10 9 ╩ 20 11 ╣ 45 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