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-0,0 +1,60 @@ +import logging + +logger = logging.getLogger(__name__) + + +with open('2024/data/input16.data') as f: +# with open('2024/data/input16.example') as f: + # Dont need edges, these are irrelevant to us + content = [list(line.strip()[1:-1]) for line in f.readlines()[1:-1]] + +directions = {'N': (-1, 0), 'E': (0, 1), 'S': (1, 0), 'W': (0, -1)} + +start = next((row, col, 'E') for row in range(len(content)) for col in range(len(content[0])) if content[row][col] == 'S') +end = next((row, col) for row in range(len(content)) for col in range(len(content[0])) if content[row][col] == 'E') + +# Python it up^^ (outer loop goes over each cell in grid and continues with non-walls, +# for each valid cell go over all directions and applies costs dependent on turning) +graph = { (row, col, dirName): {(row+nextdirRow, col+nextdirCol, nextDir): (0 if dirName == nextDir else 1000) + 1 + for nextDir, (nextdirRow, nextdirCol) in directions.items() + if 0 <= row+nextdirRow < len(content) and 0 <= col+nextdirCol < len(content[0]) and content[row+nextdirRow][col+nextdirCol] != '#'} + for row in range(len(content)) for col in range(len(content[0])) if content[row][col] != '#' for dirName in directions } + +# Algo +def dijsktra(graph, start, end): + import heapq # Priority Queue, Do not use own for shorter Code^^ + + pq, costs, predecessors = [(0, start)], {node: float('inf') for node in graph}, {node: None for node in graph} + costs[start] = 0 + while pq: + cost, node = heapq.heappop(pq) + logger.debug(f"Procesing node {node} with current cost {cost}") + if node[:2] == end[:2]: # Stop when reaching the end position, dont care about direction + path = [] + while node: + path.append(node) + node = predecessors[node] + logger.debug(f"Final cost: {cost}") + return cost, path[::-1] # Reverse path to get start-to-end order + if cost > costs[node]: continue + + for neighbor, edge_cost in graph[node].items(): + if (new_cost := cost + edge_cost) < costs[neighbor]: + costs[neighbor], predecessors[neighbor] = new_cost, node + heapq.heappush(pq, (new_cost, neighbor)) + logger.debug(f"Relaxing edge {node} -> {neighbor}, edge cost: {edge_cost}, new cost: {new_cost}") + return float('inf'), [] # No path found + +def drawGraph(content, path=None): + # Create copy of grid to overlay graph -> No inPlace Stuff + grid = [row[:] for row in content] + + if path: + symbols = {'N': '^', 'E': '>', 'S': 'v', 'W': '<'} + for row, col, direction in path: + grid[row][col] = symbols[direction] + return '\n'.join(''.join(row) for row in grid) + +costShortest, shortestPath = dijsktra(graph, start, end) +print("Shortest path cost:", costShortest) +print(drawGraph(content, shortestPath))