""" Write a program that solves a maze using greedy best-first search algorithm. The maze is a 2D grid with empty space, walls, a start, and an end position. The objective is to find a path from start to end position. The maze should be loaded from file. A step-by-step visualization of the algorithm is required. It can be done in the console and an interface may be as simple as possible (but of course it does not have to). Example solution: https://angeluriot.com/maze_solver/. Test multiple heuristics (at least two) h(n) and discuss the differences be- tween the obtained results. """ """ Technical requirements: - implemented in Python. - adheres to basic standards of lean coding in accordance to PEP8 - comments in the crucial parts to help with readability and understanding. - The clear instruction how to run and test the code should be included. """ """ Thinks that do not work: Does not work if no Start (Should print out NO START FOUND) Does not work if no End (Should print out NO END FOUND) Does not work if no path (Should print out NO PATH FOUND) """ import heapq import sys class MazeSolver: # self corresponds to "this" in js, it refers to object of MazeSolver class def __init__(self, maze): # assign read maze 2D array to parameter from class MazeSolver self.maze = maze self.start, self.end = self.find_start_and_end() # go through each character in 2D array and find one that corresponds to # Start/End character def find_start_and_end(self): start = end = None for row in range(len(self.maze)): for col in range(len(self.maze[row])): if self.maze[row][col] == 'S': start = (row, col) elif self.maze[row][col] == 'E': end = (row, col) if start is not None and end is not None: return start, end print(f"DID NOT FOUND START OR END, Start: {start}, End: {end}") # Go through each neighbor # N # N * N # N # If it is not a "wall" (#) add its position to list of neighbors def get_neighbors(self, position): row, col = position neighbors = [] if row > 0 and self.maze[row - 1][col] != '#': neighbors.append((row - 1, col)) if col > 0 and self.maze[row][col - 1] != '#': neighbors.append((row, col - 1)) if row < len(self.maze) - 1 and self.maze[row + 1][col] != '#': neighbors.append((row + 1, col)) if col < len(self.maze[row]) - 1 and self.maze[row][col + 1] != '#': neighbors.append((row, col + 1)) return neighbors # find path through maze def solve(self): queue = [] # set means that values inside can not repeat visited = set() # https://docs.python.org/3/library/heapq.html # push onto the queue (which becomes heapq), element containing values # we use heapq so the element with lowest heuristic value will always # be at the top of heap heapq.heappush( queue, (self.heuristicEuclidean( self.start), self.start, [ self.start])) # go through queue until it's empty # find neighbor (which is not wall) closest to END point (based on heuristic) # go there and repeat # if cannot find path it starts over but skips the path that lead it to # dead end while queue: # pop first element of heap # first value is skipped and we only save current position and path # on heap _, current, path = heapq.heappop(queue) # if we already visited current skip code and go to next iteration if current in visited: continue # if we found the end return path if current == self.end: return path visited.add(current) for neighbor in self.get_neighbors(current): if neighbor not in visited: new_path = path + [neighbor] heapq.heappush( queue, (self.heuristicEuclidean(neighbor), neighbor, new_path)) print_maze(self.maze, new_path) print() # This heuristic returns the Manhattan distance between the given position # and the maze's end def heuristicManhattan(self, position): return abs(position[0] - self.end[0]) + abs(position[1] - self.end[1]) # This heuristic returns the Euclidean distance between the given position # and the maze's end def heuristicEuclidean(self, position): return (abs(position[0] - self.end[0])**2 + abs(position[1] - self.end[1])**2)**0.5 # Open and load text file to array def load_maze(filename): # Open for reading only and save to fileContents fileContents = open(filename, 'r') # strip() removes extra white spaces from the beginning and the end of a string # list() changes string to array of chars # Inside of square brackets we will have an array of characters for each line of file # after going through every line in a file we will have 2D array of arrays # of characters of every line maze = [list(line.strip()) for line in fileContents] return maze def print_maze(maze, path=None): if path is None: path = [] for row in range(len(maze)): for col in range(len(maze[row])): if (row, col) in path: print('*', end='') else: print(maze[row][col], end='') print() # Ran first in the code if __name__ == '__main__': print (sys.argv) file_name = 'maze.txt' if len(sys.argv) > 1: file_name = sys.argv[1] # Open and load text file to array maze = load_maze(file_name) # Initialize MazeSolver object with maze as parameter solver = MazeSolver(maze) # Find path using MazeSolver solve method path = solver.solve() print_maze(maze, path)