def dfs1(maze, start, goal, offs, pred={}, flag=[False]):
if pred == {}:
pred[start] = None
cc = start
for key, value in offs.items():
#print(value,cc)
#print(key)
newpos = tuple(cc[i] + value[i] for i in range(len(cc)))
# Stop condition:
if cc == goal:
flag[0] = True
return pred
#print(is_legal_pos(maze, newpos), "\n", newpos not in pred )
# Check each direction
if is_legal_pos(maze, newpos) and newpos not in pred:
pred[newpos] = cc
#print("\n" , key, "\n")
dfs1(maze, newpos, goal, offs, pred, flag)
# Check if desired goal reached when coming back
if flag[0] == True:
return pred
def a_star(maze, start, goal):
pq = PriorityQueue()
# In the A* trace we said that the F value for the initial cell position would be equal to
# the H value...but we are not required to have to calculate that manually because there's only
# going to be one item on the queue at this point, it will automatically
# have the highest priority so we can set it equal to 0
pq.put(start, 0)
predecessors = {start: None}
g_values = {start: 0}
# In our representation of these mazes, we have cells connected by edges and the weight
# of each edge is just one. So the new cost is just one more than the previous cost
# putting it in g values and in predecessors is equivalent to saying *we've discovered this
while not pq.is_empty():
current_cell = pq.get()
if current_cell == goal:
return get_path(predecessors, start, goal)
for direction in ["up", "right", "down", "left"]:
row_offset, col_offset = offsets[direction]
neighbour = (current_cell[0] + row_offset,
current_cell[1] + col_offset)
if is_legal_pos(maze, neighbour) and neighbour not in g_values:
new_cost = g_values[current_cell] + 1
g_values[neighbour] = new_cost
f_value = new_cost + heuristic(goal, neighbour)
pq.put(neighbour, f_value)
predecessors[neighbour] = current_cell
return None
def dfs(maze, start, goal):
# We instantiate a new stack
stack = Stack()
# We're pushing our start position which is a coordinate/row, column tuples (an immutable list)
stack.push(start)
# predecessors is a dictionary containing the predecessor of the start position, which is none
predecessors = {start: None}
while not stack.is_empty():
# While the stack is not empty, we get the current cell by popping
current_cell = stack.pop()
# We check if it's the goal, if it is, the program is finished!
if current_cell == goal:
return get_path(predecessors, start, goal)
# Otherwise, for every direction in this list, we check the offsets (imported from helper
# file and we assign the i, j values from from that so that we can then check the neighbor
# The whole point of this is to check the coordinates of the contiguous cells in all four directions
for direction in ["up", "right", "down", "left"]:
row_offset, col_offset = offsets[direction]
# neighbor refers to the cell
neighbor = (current_cell[0] + row_offset, current_cell[1] + col_offset)
# now we say, for each of those directions, if it's a legal position and it doesn't already exist in our
# predecessors list, that means we haven't discovered it yet - so we push it on to our stack.
if is_legal_pos(maze, neighbor) and neighbor not in predecessors:
# finally we push the neighbor on the stack and update the predecessors
stack.push(neighbor)
predecessors[neighbor] = current_cell
return None
def bfs(maze, start, goal):
q = Queue()
q.enqueue(start)
pred = {start: None}
while (not q.is_empty()):
cc = q.dequeue()
if cc == goal:
return get_path(pred, start, goal)
else:
for key, value in offsets.items():
newpos = tuple(cc[i] + value[i] for i in range(len(cc)))
if is_legal_pos(maze, newpos) and newpos not in pred:
q.enqueue(newpos)
pred[newpos] = cc
def dfs(maze, start, goal):
stack = Stack()
stack.push(start)
predecessors = {start: None}
while not stack.is_empty():
current_cell = stack.pop()
if current_cell == goal:
return get_path(predecessors, start, goal)
for direction in ["up", "right", "down", "left"]:
row_offset, col_offset = offsets[direction]
neighbour = (current_cell[0] + row_offset, current_cell[1] + col_offset)
if is_legal_pos(maze, neighbour) and neighbour not in predecessors:
stack.push(neighbour)
predecessors[neighbour] = current_cell
return None
def bfs(maze, start, goal):
queue = Queue()
queue.enqueue(start)
predecessors = {start: None}
while not queue.is_empty():
current_cell = queue.dequeue()
if current_cell == goal:
return get_path(predecessors, start, goal)
for direction in ["up", "right", "down", "left"]:
row_offset, col_offset = offsets[direction]
neighbor = (current_cell[0] + row_offset, current_cell[1] + col_offset)
if is_legal_pos(maze, neighbor) and neighbor not in predecessors:
queue.enqueue(neighbor)
predecessors[neighbor] = current_cell
return None
def a_star(maze, start, goal):
def fval(cur):
return fval1(cur, start, goal)
prq = PriorityQueue()
prq.put(start, fval(start))
pred = {start: None}
while not prq.is_empty():
cc = prq.get()
if cc == goal:
return get_path(pred, start, goal)
for key, value in offsets.items():
newpos = tuple(cc[i] + value[i] for i in range(len(cc)))
if is_legal_pos(maze, newpos) and newpos not in pred:
prq.put(newpos, fval(newpos))
pred[newpos] = cc
def a_star(maze, start, goal):
pq = PriorityQueue()
# technically, the 0 should have the heuristic distance, but this is not necessary
pq.put(start, 0)
predecessors = {start: None}
g_values = {start: 0}
while not pq.is_empty():
current_cell = pq.get()
if current_cell = goal:
return get_path(predecessors, start, goal)
for direction in ["up","right","down","left"]:
row_offset, col_offset = offsets[direction]
neighbor = (current_cell[0] + row_offset, current_cell[1] + col_offset)
if is_legal_pos(maze, neighbor) and neighbor not in g_values:
new_cost = g_values[current_cell] + 1
g_values[neighbor] = new_cost
f_value = new_cost + heuristic(goal, neighbor)
pq.put(neighbor, f_value)
predecessors[neighbor] = current_cell
def dfs(maze, start, goal):
stack = Stack()
stack.push(start)
predecessors = {start: None}
while not stack.is_empty():
# getting the top item from the stack (far most right item)
current_cell = stack.pop()
if current_cell == goal:
return get_path(predecessors, start, goal)
for direction in ["up", "right", "down", "left"]:
# unpacking the tuple
row_offset, col_offset = offsets[direction]
neighbor = (current_cell[0] + row_offset,
current_cell[1] + col_offset)
if is_legal_pos(maze, neighbor) and neighbor not in predecessors:
stack.push(neighbor)
predecessors[neighbor] = current_cell
return None
# pass only prevents the code from returning an error if you run it
pass