def create_labyrinth(rows: int, cols: int) -> UndirectedGraph:
# Paso 1 = Creamos una lista con los vertices de nuestro grafo
vertices = [(r, c) for r in range(rows) for c in range(cols)]
# Paso 2 = Creamos un MergeFindSet vacio y le vamos añadiendo UNO A UNO
# los vertices de la lista creada en el paso 1
mfs = MergeFindSet()
for v in vertices:
mfs.add(v)
# Paso 3 = Creamos una lista llamada "edges" con los pares de vertices
# vecinos, y la barajamos
edges = []
for (r, c) in vertices:
if r + 1 < rows:
edges.append(((r, c), (r + 1, c)))
if c + 1 < cols:
edges.append(((r, c), (r, c + 1)))
random.shuffle(edges)
# Paso 4 = Creamos una lista vacia que contiene los pasillos del laberinto
corridors = []
# Paso 5 = Recorremos la lista de bordes, y para cada arista (u, v),
# encuentra la clase a la que pertenece cada uno de los vertices
# usando "find()". u y v son VERTICES, u = (r,c) y v = (r2,c2)
for (u, v) in edges:
if mfs.find(u) != mfs.find(v):
mfs.merge(u, v)
corridors.append((u, v))
# Paso 6 = Devolvemos el resultado
return UndirectedGraph(E=corridors)
def create_labyrinth(rows, cols):
# general expressions of all vertexes
vertices = [(row, col) for row in range(rows) for col in range(cols)]
mfs = MergeFindSet()
edges = []
for v in vertices:
# print(v)
mfs.add(v)
# add the bottom row and right column to edge list and shuffle it
for row, col in vertices:
if row + 1 < rows:
edges.append([(row, col), (row + 1, col)])
if col + 1 < cols:
edges.append([(row, col), (row, col + 1)])
shuffle(edges)
# # #
# for i in edges:
# a, b = i
# print(a, b)
###
corridors = []
# if the edges are not in the same set, merge them in the same one and add them to corridors
for u, v in edges:
if mfs.find(u) != mfs.find(v):
mfs.merge(u, v)
corridors.append((u, v))
# for u, v in corridors:
# print("Path: {} -> {}".format(u, v))
return UndirectedGraph(E=corridors)
def create_labyrinth(rows, cols): #Intentar Edges con expresion generatriz
#Paso 1
vertices = [(i, j) for i in range(rows) for j in range(cols)]
#Paso 2
mfs = MergeFindSet()
for v in vertices:
mfs.add(v)
#Paso 3
edges = []
for r in range(rows):
for c in range(cols):
if r + 1 < rows:
edges.append(((r, c), (r + 1, c)))
if c + 1 < cols:
edges.append(((r, c), (r, c + 1)))
random.shuffle(edges)
#Paso 4
corridors = []
#Paso 5
for (u, v) in edges:
if mfs.find(u) != mfs.find(v):
mfs.merge(u, v)
corridors.append((u, v))
#Paso 6
return UndirectedGraph(E=corridors)
def crea_laberinto_mod(nfil, ncol, n): ##Problema3
vertices = [(i, j) for (i) in range(nfil) for (j) in range(ncol)]
mfs = MergeFindSet()
for v in vertices:
mfs.add(v)
aristasV = [((f, c), (f + 1, c)) for f in range(nfil - 1)
for c in range(ncol)]
aristasH = [((f, c), (f, c + 1)) for f in range(nfil)
for c in range(ncol - 1)]
aristas = aristasV + aristasH
shuffle(aristas)
nCamino = n
pasillos = []
for (u, v) in aristas:
if mfs.find(u) != mfs.find(v):
if nCamino == 0:
mfs.merge(u, v)
else:
nCamino -= 1
pasillos.append((u, v))
return UndirectedGraph(E=pasillos)
def create_labyrinth(num_rows: int,
num_cols: int,
n: int = 0) -> UndirectedGraph:
vertices: List[Tuple] = []
for r in range(num_rows):
for c in range(num_cols):
vertices.append((r, c))
mfs = MergeFindSet()
for v in vertices:
mfs.add(v)
edges: List[Edge] = []
for r, c in vertices:
if r > 0:
edges.append(((r, c), (r - 1, c)))
if c > 0:
edges.append(((r, c), (r, c - 1)))
shuffle(edges)
corridors: List[Edge] = []
for e in edges:
(v, u) = e
if mfs.find(v) != mfs.find(u):
mfs.merge(v, u)
corridors.append(e)
else:
if n > 0:
corridors.append((u, v))
n -= 1
return UndirectedGraph(E=corridors)
def create_labyrinth(rows, cols):
# vertex creation
vertexes = [(row, col) for row in range(rows) for col in range(cols)]
mfs = MergeFindSet()
edges = []
for v in vertexes:
mfs.add(v)
# add bottom row and right column to the edge list and shuffle
for row, col in vertexes:
if row + 1 < rows:
edges.append(((row, col), (row + 1, col)))
if col + 1 < cols:
edges.append(((row, col), (row, col + 1)))
random.shuffle(edges)
corridors = []
# create corridors list
for u, v in edges:
if mfs.find(u) != mfs.find(v):
mfs.merge(u, v)
corridors.append((u, v))
return corridors
def create_labyrinth_mod(rows: int, cols: int, n: int = 0) -> UndirectedGraph:
vertex = [(r, c) for r in range(rows) for c in range(cols)]
mfs = MergeFindSet()
for v in vertex:
mfs.add(v)
edges = []
for (i, j) in vertex:
edges.append(((i, j), (i, j + 1))) if j + 1 < cols else ""
edges.append(((i, j), (i + 1, j))) if i + 1 < rows else ""
random.shuffle(edges)
corridors = []
discarded_edges = []
for (u, v) in edges:
if mfs.find(u) != mfs.find(v):
mfs.merge(u, v)
corridors.append((u, v))
else:
discarded_edges.append((u, v))
graph_wo_mod = UndirectedGraph(E=corridors)
new_corridors = corridors[:]
new_corridors.extend(discarded_edges[:n])
graph_mod = UndirectedGraph(E=new_corridors)
return graph_wo_mod, graph_mod
def create_labyrinth(rows, cols):
#Definition
#Step 1
vertices = [(r, c) for r in range(rows) for c in range(cols)]
#Step 2
mfs = MergeFindSet()
for v in vertices:
mfs.add(v)
#Step 3
edges = []
for (r, c) in vertices:
if r + 1 < rows:
edges.append(((r, c), (r + 1, c)))
if c + 1 < cols:
edges.append(((r, c), (r, c + 1)))
shuffle(edges)
#Step 4
corridors = []
#Step 5
for (u, v) in edges:
if mfs.find(u) != mfs.find(v):
mfs.merge(u, v)
corridors.append((u, v))
#Step 6
return UndirectedGraph(E=corridors)
def kruskal2(aristas):
aristas_ordenadas = sorted(aristas.items(), key=lambda x: x[1])
mfs = MergeFindSet()
limite = [2] * len(puntos)
path = []
for v in range(len(puntos)):
mfs.add(v)
for edge, w in aristas_ordenadas:
u = edge[0]
v = edge[1]
if limite[u] > 0 and limite[
v] > 0: # puedo meter la arista si no tiene ciclo
if mfs.find(u) != mfs.find(v): # no hace ciclo
mfs.merge(u, v)
path.append(edge)
limite[u] -= 1
limite[v] -= 1
vertice_extra = []
for i, x in enumerate(limite):
if x == 1:
vertice_extra.append(i)
path.append(tuple(vertice_extra))
g = UndirectedGraph(E=path)
return path, g
def create_labyrinth(rows, cols):
# generar vertices
vertices = [(row, col) for row in range(rows) for col in range(cols)]
mfs = MergeFindSet()
edges = []
for v in vertices:
mfs.add(v)
# anadir la fila de abajo y la columna derecha a la lista de aristas y barajarla
for row, col in vertices:
if row + 1 < rows:
edges.append(((row, col), (row + 1, col)))
if col + 1 < cols:
edges.append(((row, col), (row, col + 1)))
# borrar las aristas prohibidas
edges = list(set(edges) - set(aristas_p))
random.shuffle(edges)
corridors = []
for u, v in edges:
if mfs.find(u) != mfs.find(v):
mfs.merge(u, v)
corridors.append((u, v))
return corridors, vertices
def create_labyrinth(rows: int, cols: int, n: int = 0) -> UndirectedGraph:
vertices = [(r, c) for r in range(rows) for c in range(cols)]
mfs = MergeFindSet()
for v in vertices:
mfs.add(v)
edges = []
for r, c in vertices:
if r + 1 < rows:
edges.append(((r, c), (r + 1, c)))
if c + 1 < cols:
edges.append(((r, c), (r, c + 1)))
random.shuffle(edges)
corridors = []
for (u, v) in edges:
if mfs.find(u) != mfs.find(v):
corridors.append((u, v))
mfs.merge(u, v)
elif n > 0:
corridors.append((u, v))
n -= 1
return UndirectedGraph(E=corridors)
def create_labyrinth(rows, cols, n=0):
# Crea una lista, vertices, con los vértices del grafo (nuestras celdas del laberinto).
vertices = []
for row in range(rows):
for col in range(cols):
vertices.append((row, col))
# vertices = [(r,c) for r in range(rows) for c in range(cols)] <-- versión del profesor
# Crea un MFSet vacío, mfs, y añádele uno a uno los vértices de la lista vertices usando su método add.
# Para crear un MFSet utiliza la clase MergeFindSet disponible en algoritmia.datastructures.mergefindsets.
mfs = MergeFindSet()
for vertice in vertices:
mfs.add(vertice)
# Crea una lista, edges, con todos los pares de vértices vecinos y barájala. Usa la función
# shuffle del módulo random.
edges = []
for row in range(rows):
for col in range(cols):
if col > 0:
edges.append(((row, col), (row, col - 1)))
if row > 0:
edges.append(((row, col), (row - 1, col)))
# edges = [((row, col), (row, col + 1)) for r in range(rows) for c in range(cols-1)]
# edges.extend(
# [((row, col), (row, col + 1)) for r in range(rows-1) for c in range(cols)]
# )
random.shuffle(edges)
# Crea una lista vacía, corridors. Aquí pondremos las aristas (pasillos) que tendrá al final
# nuestro grafo (laberinto).
corridors = []
# Recorre la lista edges y, para cada arista (u,v), encuentra la clase a la que pertenece
# cada uno de los dos vértices usando find. Si son diferentes, fusiónalas en la misma clase con
# merge y añade la arista (u,v) a la lista corridors.
for u, v in edges:
if mfs.find(u) != mfs.find(v):
corridors.append((u, v))
mfs.merge(u, v)
else:
if n > 0:
corridors.append((u, v))
#mfs.merge(u, v)
n -= 1
# El laberinto es el grafo no dirigido que tiene a la lista corridors como conjunto de aristas:
# return UndirectedGraph(E = corridors)
# print("Corridors: ")
# print(corridors)
return UndirectedGraph(E=corridors)
def create_labyrinth(rows: int, cols: int, n: int = 0) -> UndirectedGraph:
# Definition
# Step 1
vertices = [(r, c) for r in range(rows) for c in range(cols)]
# Step 2
mfs = MergeFindSet()
for v in vertices:
mfs.add(v)
# Step 3
edges = []
for (r, c) in vertices:
if r + 1 < rows:
edges.append(((r, c), (r + 1, c)))
if c + 1 < cols:
edges.append(((r, c), (r, c + 1)))
random.shuffle(edges)
# Step 4
corridors = []
discarted_edges = [] #modificacion
# Step 5
for (u, v) in edges:
if mfs.find(u) != mfs.find(v):
mfs.merge(u, v)
corridors.append((u, v))
else:
discarted_edges.append((u, v)) #modificacion
corridors.extend(discarted_edges[:n]) #modificacion
# Step 6
return UndirectedGraph(E=corridors)
def create_labyrinth(rows, cols, n=0):
# for i in range(rows):
# for j in range(cols):
# vertices.append((i, j))
vertices = [(row, col) for row in range(rows)
for col in range(cols)]
print(vertices)
mfs = MergeFindSet()
for elem in vertices:
mfs.add(elem)
edges = []
for row, col in vertices:
if row+1 < rows:
edges.append(((row, col), (row+1, col)))
if col+1 < cols:
edges.append(((row, col),(row, col+1)))
shuffle(edges)
contador = 0
corridors = []
for u, v in edges:
if mfs.find(u) != mfs.find(v):
mfs.merge(u, v)
corridors.append((u, v))
elif n > contador:
corridors.append((u, v))
contador+=1
return UndirectedGraph(E=corridors)
class TestMFset(unittest.TestCase):
def setUp(self):
self.mf1 = MergeFindSet()
self.mf2 = MergeFindSet(
((i, ) for i in range(10)),
createMap=lambda nodes: IntKeyMap(capacity=max(nodes) + 1))
def test_mfsets(self):
for i in range(10):
self.mf1.add(i)
for i in range(10):
self.assertEqual(self.mf1.find(i), i)
self.assertEqual(self.mf2.find(i), i)
for i in range(0, 10, 2):
self.mf1.merge(i, i + 1)
self.mf2.merge(i, i + 1)
for i in range(0, 10, 2):
self.assertEqual(self.mf1.find(i), self.mf1.find(i + 1))
self.assertEqual(self.mf2.find(i), self.mf2.find(i + 1))
for i in range(0, 10 - 3, 4):
self.mf1.merge(i, i + 3)
self.mf2.merge(i, i + 3)
for i in range(0, 10 - 4, 4):
self.assertEqual(self.mf1.find(i), self.mf1.find(i + 1))
self.assertEqual(self.mf1.find(i), self.mf1.find(i + 2))
self.assertEqual(self.mf1.find(i), self.mf1.find(i + 3))
self.assertEqual(self.mf2.find(i), self.mf2.find(i + 1))
self.assertEqual(self.mf2.find(i), self.mf2.find(i + 2))
self.assertEqual(self.mf2.find(i), self.mf2.find(i + 3))