def Maze2(rows, columns, wallList):
n = rows * columns #number of cells
print("there are ", n, "cells ")
m = input("How many walls would you like to remove")
m = int(m)
s = dsf.DisjointSetForest(n)
#a
if m < n - 1:
print(
"A path from source to destination is not guaranteed to exist (when m < n − 1)"
)
#b
if m == n - 1:
print(
"The is a unique path from source to destination (when m = n − 1)")
#c
if m > n - 1:
print(
"There is at least one path from source to destination (when m > n − 1)"
)
if m > len(wallList):
while m > 0:
x = random.randint(0, len(wallList) - 1)
wallList.pop(x)
m -= 1
return wallList
while m > 0:
curr = random.randint(0, len(wallList) - 1)
wall = wallList[curr]
if dsf.find(s, wall[0]) != dsf.find(s, wall[1]):
dsf.union(s, wall[0], wall[1])
wallList.pop(curr)
m -= 1
return wallList
def dsfMaze(rows,columns,wallList):
cells = rows * columns
s = dsf.DisjointSetForest(cells)
while dsf.NumSets(s)> 1:
curr = random.randint(0,len(wallList)-1)
wall = wallList[curr]
if dsf.find(s,wall[0]) != dsf.find(s,wall[1]):
dsf.union(s, wall[0], wall[1])
wallList.pop(curr)
def SameSet(Set, walls, d):
#This method checks if two cells are in the same set.
i = int(walls[d][0])
j = int(walls[d][1])
#The find method is used to check the root of two cells.
#If they are the same, it returns true. If not, it returns false.
if dsf.find(Set, i) == dsf.find(Set, j):
return True
else:
return False
def adjListdsfMaze(rows, columns, wallList):
cells = rows * columns
s = dsf.DisjointSetForest(cells)
G = [[] for i in range(len(cells))]
while dsf.NumSets(s) > 1:
curr = random.randint(0, len(wallList) - 1)
wall = wallList[curr]
if dsf.find(s, wall[0]) != dsf.find(s, wall[1]):
dsf.union(s, wall[0], wall[1])
newEntry = wallList.pop(curr)
G[newEntry[0]].append(newEntry[1])
return G
def num_sets(S):
count = 0
#Checks each set to see if they have similar parents
for i in range(len(S)):
ri = dsf.find(S, i)
#If the element equal to the root then it is in the same set
if i == ri:
count += 1
return count
def Choice_3(S, walls, num_cells):
G = []
for i in range(num_cells):
G.append([])
while CountSets(S) > 1:
d = random.randint(0, len(walls) - 1)
print('removing wall ', walls[d])
if dsf.find(S, walls[d][0]) != dsf.find(S, walls[d][1]):
# dsf.union(S,walls[d][0],walls[d][1])
dsf.union_by_size(S, walls[d][0], walls[d][1])
poppedWall = walls.pop(d)
G[poppedWall[0]].append(poppedWall[1])
G[poppedWall[1]].append(poppedWall[0])
dsf.draw_dsf(S)
pic = draw_maze(walls, maze_rows, maze_cols)
print()
print("breadth_first_search")
Path = breadth_first_search(G, 0)
draw_path(pic, Path, num_cells - 1, maze_cols - .5, maze_rows - .5)
print(Path)
printPath(Path, num_cells - 1)
return G