grid = [ [0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], # 0 are free path whereas 1's are obstacles [0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0], ] """ heuristic = [[9, 8, 7, 6, 5, 4], [8, 7, 6, 5, 4, 3], [7, 6, 5, 4, 3, 2], [6, 5, 4, 3, 2, 1], [5, 4, 3, 2, 1, 0]]""" init = [0, 0] goal = [len(grid) - 1, len(grid[0]) - 1] # all coordinates are given in format [y,x] cost = 1 # the cost map which pushes the path closer to the goal heuristic = [[0 for row in range(len(grid[0]))] for col in range(len(grid))] for i in range(len(grid)): for j in range(len(grid[0])): heuristic[i][j] = abs(i - goal[0]) + abs(j - goal[1]) if grid[i][j] == 1: heuristic[i][j] = 99 # added extra penalty in the heuristic map # the actions we can take delta = [[-1, 0], [0, -1], [1, 0], [0, 1]] # go up # go left # go down # go right # function to search the path def search(grid, init, goal, cost, heuristic): closed = [ [0 for col in range(len(grid[0]))] for row in range(len(grid)) ] # the reference grid closed[init[0]][init[1]] = 1 action = [ [0 for col in range(len(grid[0]))] for row in range(len(grid)) ] # the action grid x = init[0] y = init[1] g = 0 f = g + heuristic[init[0]][init[0]] cell = [[f, g, x, y]] found = False # flag that is set when search is complete resign = False # flag set if we can't find expand while not found and not resign: if len(cell) == 0: return "FAIL" else: cell.sort() # to choose the least costliest action so as to move closer to the goal cell.reverse() next = cell.pop() x = next[2] y = next[3] g = next[1] if x == goal[0] and y == goal[1]: found = True else: for i in range(len(delta)): # to try out different valid actions x2 = x + delta[i][0] y2 = y + delta[i][1] if x2 >= 0 and x2 < len(grid) and y2 >= 0 and y2 < len(grid[0]): if closed[x2][y2] == 0 and grid[x2][y2] == 0: g2 = g + cost f2 = g2 + heuristic[x2][y2] cell.append([f2, g2, x2, y2]) closed[x2][y2] = 1 action[x2][y2] = i invpath = [] x = goal[0] y = goal[1] invpath.append([x, y]) # we get the reverse path from here while x != init[0] or y != init[1]: x2 = x - delta[action[x][y]][0] y2 = y - delta[action[x][y]][1] x = x2 y = y2 invpath.append([x, y]) path = [] for i in range(len(invpath)): path.append(invpath[len(invpath) - 1 - i]) print("ACTION MAP") for i in range(len(action)): print(action[i]) return path a = search(grid, init, goal, cost, heuristic) for i in range(len(a)): print(a[i])