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#
class Node(object):
def __init__(self, name):
Assumes name is a string
self.name = name
def getName(self):
return self.name
def __str__(self):
return self.name
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class Edge(object):
def __init__(self, src, dest):
Assumes src and dest are nodes
self.src = src
self.dest = dest
def getSource(self):
return self.src
def getDestination(self):
return self.dest
def __str__(self):
return self.src.getName() + '-’
+ self.dest.getName()
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%$3$%'9
class Digraph(object):
edges is a dict mapping each node to a list of
its children”
def __init__(self):
self.edges = {}
def addNode(self, node):
if node in self.edges:
raise ValueError('Duplicate node')
else:
self.edges[node] = []
def addEdge(self, edge):
src = edge.getSource()
dest = edge.getDestination()
if not (src in self.edges and dest in self.edges):
raise ValueError('Node not in graph')
self.edges[src].append(dest)
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mappi
ing each
h nod
de list
%$3$%':
def childrenOf(self, node):
return self.edges[node]
def hasNode(self, node):
return node in self.edges
def getNode(self, name):
for n in self.edges:
if n.getName() == name:
return n
raise NameError(name)
def __str__(self):
result = ''
for src in self.edges:
for dest in self.edges[src]:
result = result + src.getName() + '-'
+ dest.getName() + 'n'
return result[:-1] #omit final newline
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%$
class Graph(Digraph):
def addEdge(self, edge):
Digraph.addEdge(self, edge)
rev = Edge(edge.getDestination(), edge.getSource())
Digraph.addEdge(self, rev)
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, ' %$
def buildCityGraph(graphType):
g = graphType()
for name in ('Boston', 'Providence', 'New York', 'Chicago',
'Denver', 'Phoenix', 'Los Angeles'): #Create 7 nodes
g.addNode(Node(name))
g.addEdge(Edge(g.getNode('Boston'), g.getNode('Providence')))
g.addEdge(Edge(g.getNode('Boston'), g.getNode('New York')))
g.addEdge(Edge(g.getNode('Providence'), g.getNode('Boston')))
g.addEdge(Edge(g.getNode('Providence'), g.getNode('New York')))
g.addEdge(Edge(g.getNode('New York'), g.getNode('Chicago')))
g.addEdge(Edge(g.getNode('Chicago'), g.getNode('Denver')))
g.addEdge(Edge(g.getNode('Chicago'), g.getNode('Phoenix')))
g.addEdge(Edge(g.getNode('Denver'), g.getNode('Phoenix')))
g.addEdge(Edge(g.getNode('Denver'), g.getNode(’New York')))
g.addEdge(Edge(g.getNode('Los Angeles'), g.getNode('Boston')))
QKKKM N MO
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QKKKM N MQ
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def DFS(graph, start, end, path, shortest, toPrint = False):
path = path + [start]
if toPrint:
print('Current DFS path:', printPath(path))
if start == end:
return path
for node in graph.childrenOf(start):
if node not in path: #avoid cycles
if shortest == None or len(path)  len(shortest):
newPath = DFS(graph, node, end, path, shortest, toPrint)
if newPath != None:
shortest = newPath
elif toPrint:
print('Already visited', node)
return shortest
def shortestPath(graph, start, end, toPrint = False):
return DFS(graph, start, end, [], None, toPrint)
''.*( 0/.3./$*)/0.0,.*,.'7
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shortestPath      
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'
def testSP(source, destination):
g = buildCityGraph(DiGraph)
sp = shortestPath(g, g.getNode(source), g.getNode(destination)
toPrint = True)
if sp != None:
print('Shortest path from', source, 'to',
destination, 'is', printPath(sp))
else:
print('There is no path from', source, 'to', destination)
testSP('Boston', ’Chicago')
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3..)0,0#=*/0*)CV.*4$)CV5*.CV#$*
3..)0,0#=*/0*)CV.*4$)CV5*.CV#$*CV)4.
3..)0,0#=*/0*)CV.*4$)CV5*.CV#$*CV)4.CV#*)$6*3),0#
'.74$/$05*.
3..)0,0#=*/0*)CV.*4$)CV5*.CV#$*CV#*)$6*3)/#*.0.,0#
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3..)0,0#=*/0*)CV5*.CV#$*CV)4.
3..)0,0#=*/0*)CV5*.CV#$*CV)4.CV#*)$6*3)@/#*.0.A,0#
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3..)0,0#=*/0*)CV5*.CV#$*CV#*)$6*3)/#*.0.,0#
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0.00)$)$1')*
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W #).3)*30**,1*)/(*40*)60)*0
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.,#E'')*/*)/0,3.0#..*(/0.0F).,0
QKKKM N NM
#%'!:4%'6%'%78
def BFS(graph, start, end, toPrint = False):
initPath = [start]
pathQueue = [initPath]
while len(pathQueue) != 0:
#Get and remove oldest element in pathQueue
tmpPath = pathQueue.pop(0)
if toPrint:
print('Current BFS path:', printPath(tmpPath))
lastNode = tmpPath[-1]
if lastNode == end:
return tmpPath
for nextNode in graph.childrenOf(lastNode):
if nextNode not in tmpPath:
newPath = tmpPath + [nextNode]
pathQueue.append(newPath)
return None
QKKKM N NN
;
6,'*.'',0#/5$0#)#*,/*.
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3..)0,0#=*/0*)CV5*.CV#$*CV)4.
3..)0,0#=*/0*)CV5*.CV#$*CV#*)$6
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QKKKM N NO
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QKKKM N NP
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QKKKM N NQ
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QKKKM N NR
MIT OpenCourseWare
https://ocw.mit.edu
6.0002 Introduction to Computational Thinking and Data Science
Fall 2016
For information about citing these materials or our Terms of Use, visit: https://ocw.mit.edu/terms.

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