COMM7370 AI Theories and Applications¶
Search Algorithms¶
Uninformed Search¶
Implementation of the basic uninformed search algorithms using NetworkXlibrary
In [1]:
# Install NetworkX, Matplotlib, Pandas, Numpy using pip package in the current Jupyter kernel
import sys
!{sys.executable} -m pip install networkx
!{sys.executable} -m pip install matplotlib
!{sys.executable} -m pip install pandas
!{sys.executable} -m pip install numpy
Requirement already satisfied: networkx in /anaconda3/lib/python3.7/site-packages (2.3)
Requirement already satisfied: decorator>=4.3.0 in /anaconda3/lib/python3.7/site-packages (from networkx) (4.4.0)
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Requirement already satisfied: numpy in /anaconda3/lib/python3.7/site-packages (1.16.4)
In [2]:
import pandas as pd
import numpy as np
import networkx as nx
import matplotlib.pyplot as plt
%matplotlib inline
import warnings
warnings.filterwarnings(“ignore”, category=UserWarning)
Visit the graph using Depth First Algorithm¶
Basic DFS¶
In [3]:
def DFS(graph, startNode, endNode, maxSteps):
# Initialisation
fringe = []
step = 0
for node in graph.nodes:
graph.nodes[node][‘parent’] = False
# Setup starting point, root of the tree
fringe.append(startNode)
graph.nodes[startNode][‘parent’] = None
# Execute until there are nodes to be visited
while fringe:
print(‘Fringe:’, fringe)
#Extract a node from the fringe and visit the node
currentNode = fringe.pop()
step += 1
# Check goal
if not(currentNode == endNode):
# Check condition
if step <= maxSteps:
print(currentNode, " -> “)
# Add to fringe neighbouring nodes
for neighbour in graph.adj[currentNode]:
fringe.append(neighbour)
graph.nodes[neighbour][‘parent’] = currentNode
else:
print(” Execution ended without reaching the goal”)
break
else:
print(currentNode, ” *GOAL* – Number of steps:”, step)
break
print(“- End”)
return graph
Improved DFS¶
In [4]:
def DFS_with_loop_prevention(graph, startNode, endNode, maxSteps):
# Initialization
# Use visited flag on each node to find if we should consider it for fring expansion
fringe = []
step = 0
for node in graph.nodes:
graph.nodes[node][‘parent’] = False
graph.nodes[node][‘visited’] = False
# Setup starting point, root of the tree
fringe.append(startNode)
graph.nodes[startNode][‘parent’] = None
#graph.nodes[startNode][‘visited’] = True
print(startNode, ” -> “)
# Execute until there are nodes to be visited
while fringe:
print(‘Fringe:’, fringe)
#Extract a node from the fringe and visit the node
currentNode = fringe.pop()
if graph.nodes[currentNode][‘visited’] == False: # Why this is needed????
step += 1
# Check goal
if not(currentNode == endNode):
# Check condition
if step <= maxSteps:
# Update the visited flag if needed
if(not graph.nodes[currentNode]['visited']):
print(currentNode, " -> “)
graph.nodes[currentNode][‘visited’] = True
# Add to fringe neighbouring nodes, if not visited
for neighbour in graph.adj[currentNode]:
if not graph.nodes[neighbour][‘visited’]:
fringe.append(neighbour)
graph.nodes[neighbour][‘parent’] = currentNode
else:
print(” Execution ended without reaching the goal”)
break
else:
print(currentNode, ” *GOAL* – Number of steps:”, step)
break
print(” – End”)
return graph
Travelling in Romania¶
Import the adjacency matrix from CSV file.
In [5]:
dfRomania = pd.read_csv(‘romania.csv’)
Change NA to 0, needed for NetworkX graph.
In [7]:
dfRomania.fillna(0, inplace=True)
dfRomania.set_index(‘city’, inplace = True)
dfRomania
Out[7]:
Arad
Bucharest
Craiova
Drobeta
Eforie
Fagaras
Giurgiu
Hirsova
Iasi
Lugoj
Mehadia
Neamt
Oradea
Pitesti
Rimnicu
Sibiu
Timisoara
Urziceni
Vaslui
Zerind
city
Arad
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
140.0
118.0
0.0
0.0
75.0
Bucharest
0.0
0.0
0.0
0.0
0.0
211.0
90.0
0.0
0.0
0.0
0.0
0.0
0.0
101.0
0.0
0.0
0.0
85.0
0.0
0.0
Craiova
0.0
0.0
0.0
120.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
138.0
146.0
0.0
0.0
0.0
0.0
0.0
Drobeta
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
75.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
Eforie
0.0
0.0
0.0
0.0
0.0
0.0
0.0
86.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
Fagaras
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
99.0
0.0
0.0
0.0
0.0
Giurgiu
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
Hirsova
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
98.0
0.0
0.0
Iasi
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
87.0
0.0
0.0
0.0
0.0
0.0
0.0
92.0
0.0
Lugoj
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
70.0
0.0
0.0
0.0
0.0
0.0
111.0
0.0
0.0
0.0
Mehadia
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
Neamt
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
Oradea
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
151.0
0.0
0.0
0.0
71.0
Pitesti
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
97.0
0.0
0.0
0.0
0.0
0.0
Rimnicu
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
80.0
0.0
0.0
0.0
0.0
Sibiu
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
Timisoara
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
Urziceni
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
142.0
0.0
Vaslui
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
Zerind
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
Convert Pandas DataFrame to NetworkX Graph
In [9]:
romaniaMap = nx.from_pandas_adjacency(dfRomania, nx.Graph)
In [10]:
romaniaMap.edges(data=True)
Out[10]:
EdgeDataView([(‘Arad’, ‘Sibiu’, {‘weight’: 140.0}), (‘Arad’, ‘Timisoara’, {‘weight’: 118.0}), (‘Arad’, ‘Zerind’, {‘weight’: 75.0}), (‘Bucharest’, ‘Fagaras’, {‘weight’: 211.0}), (‘Bucharest’, ‘Giurgiu’, {‘weight’: 90.0}), (‘Bucharest’, ‘Pitesti’, {‘weight’: 101.0}), (‘Bucharest’, ‘Urziceni’, {‘weight’: 85.0}), (‘Craiova’, ‘Drobeta’, {‘weight’: 120.0}), (‘Craiova’, ‘Pitesti’, {‘weight’: 138.0}), (‘Craiova’, ‘Rimnicu’, {‘weight’: 146.0}), (‘Drobeta’, ‘Mehadia’, {‘weight’: 75.0}), (‘Eforie’, ‘Hirsova’, {‘weight’: 86.0}), (‘Fagaras’, ‘Sibiu’, {‘weight’: 99.0}), (‘Hirsova’, ‘Urziceni’, {‘weight’: 98.0}), (‘Iasi’, ‘Neamt’, {‘weight’: 87.0}), (‘Iasi’, ‘Vaslui’, {‘weight’: 92.0}), (‘Lugoj’, ‘Mehadia’, {‘weight’: 70.0}), (‘Lugoj’, ‘Timisoara’, {‘weight’: 111.0}), (‘Oradea’, ‘Sibiu’, {‘weight’: 151.0}), (‘Oradea’, ‘Zerind’, {‘weight’: 71.0}), (‘Pitesti’, ‘Rimnicu’, {‘weight’: 97.0}), (‘Rimnicu’, ‘Sibiu’, {‘weight’: 80.0}), (‘Urziceni’, ‘Vaslui’, {‘weight’: 142.0})])
In [12]:
layout=nx.spring_layout(romaniaMap)
nx.draw_networkx(romaniaMap, layout, node_shape=’D’, with_labels=True)

In [13]:
visitedGraph = DFS(romaniaMap, ‘Arad’, ‘Bucharest’, 100)
Fringe: [‘Arad’]
Arad ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Sibiu’, ‘Arad’, ‘Oradea’]
Execution ended without reaching the goal
– End
In [14]:
visitedGraph = DFS_with_loop_prevention(romaniaMap, ‘Arad’, ‘Bucharest’, 100)
Arad ->
Fringe: [‘Arad’]
Arad ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Zerind’]
Zerind ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Oradea’]
Oradea ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Sibiu’]
Sibiu ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Fagaras’, ‘Rimnicu’]
Rimnicu ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Fagaras’, ‘Craiova’, ‘Pitesti’]
Pitesti ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Fagaras’, ‘Craiova’, ‘Bucharest’, ‘Craiova’]
Craiova ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Fagaras’, ‘Craiova’, ‘Bucharest’, ‘Drobeta’]
Drobeta ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Fagaras’, ‘Craiova’, ‘Bucharest’, ‘Mehadia’]
Mehadia ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Fagaras’, ‘Craiova’, ‘Bucharest’, ‘Lugoj’]
Lugoj ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Fagaras’, ‘Craiova’, ‘Bucharest’, ‘Timisoara’]
Timisoara ->
Fringe: [‘Sibiu’, ‘Timisoara’, ‘Fagaras’, ‘Craiova’, ‘Bucharest’]
Bucharest *GOAL* – Number of steps: 12
– End
In [15]:
visitedGraph.edges(data=True)
Out[15]:
EdgeDataView([(‘Arad’, ‘Sibiu’, {‘weight’: 140.0}), (‘Arad’, ‘Timisoara’, {‘weight’: 118.0}), (‘Arad’, ‘Zerind’, {‘weight’: 75.0}), (‘Bucharest’, ‘Fagaras’, {‘weight’: 211.0}), (‘Bucharest’, ‘Giurgiu’, {‘weight’: 90.0}), (‘Bucharest’, ‘Pitesti’, {‘weight’: 101.0}), (‘Bucharest’, ‘Urziceni’, {‘weight’: 85.0}), (‘Craiova’, ‘Drobeta’, {‘weight’: 120.0}), (‘Craiova’, ‘Pitesti’, {‘weight’: 138.0}), (‘Craiova’, ‘Rimnicu’, {‘weight’: 146.0}), (‘Drobeta’, ‘Mehadia’, {‘weight’: 75.0}), (‘Eforie’, ‘Hirsova’, {‘weight’: 86.0}), (‘Fagaras’, ‘Sibiu’, {‘weight’: 99.0}), (‘Hirsova’, ‘Urziceni’, {‘weight’: 98.0}), (‘Iasi’, ‘Neamt’, {‘weight’: 87.0}), (‘Iasi’, ‘Vaslui’, {‘weight’: 92.0}), (‘Lugoj’, ‘Mehadia’, {‘weight’: 70.0}), (‘Lugoj’, ‘Timisoara’, {‘weight’: 111.0}), (‘Oradea’, ‘Sibiu’, {‘weight’: 151.0}), (‘Oradea’, ‘Zerind’, {‘weight’: 71.0}), (‘Pitesti’, ‘Rimnicu’, {‘weight’: 97.0}), (‘Rimnicu’, ‘Sibiu’, {‘weight’: 80.0}), (‘Urziceni’, ‘Vaslui’, {‘weight’: 142.0})])
Exercise 1 (10%)¶
The distance between the cities directly connected in the map is stored in the weight attribute of each edge. Modify the DFS and DFS_with_loop_prevention functions to display the following informaion:
• at each step, the distance that has been travelled by the algorithm
• at the end of the search process, the total distance travelled by the algorithm
In [ ]:
• Course Instructor: Dr. Paolo Mengoni (Visiting Scholar, School of Communication, Hong Kong Baptist University)
▪ pmengoni@hkbu.edu.hk
• The codes in this notebook take insipiration from various sources. All codes are for educational purposes only and released under the CC1.0.