why is dfs O(m+n) algo code example
Example: depth first search
class Graph:
def __init__(self,lst=None):
self.lst=dict()
if lst is None:
pass
else:
self.lst=lst
def find_path(self,start,end):
self.checklist={}
for i in self.lst.keys():
self.checklist[i]=False
self.checklist[start]=True
store,extra=(self.explore(start,end))
if store==False:
print('No Path Found')
else:
print(extra)
def explore(self,start,end):
while True:
q=[]
q.append(start)
flag=False
for i in self.lst[start]:
if i==end:
q.append(i)
return True,q
if self.checklist[i]:
pass
else:
flag=True
self.checklist[i]=True
q.append(i)
break
if flag:
store,extra=self.explore(q[-1],end)
if store==False:
q.pop()
if len(q)==0:return False
return self.explore(q[-1],end)
elif store==None:
pass
elif store==True:
q.pop()
q.extend(extra)
return True,q
else:
return False,None
def __str__(self):return str(self.lst)
if __name__=='__main__':
store={1: [2, 3, 4], 2: [3, 1], 3: [2, 1], 4: [5, 8, 1], 5: [4, 6, 7], 6: [5, 7, 9, 8], 7: [5, 6], 8: [4, 6, 9], 9: [6, 8, 10], 10: [9],11:[12,13]}
a=Graph(store)
a.find_path(1,11)
a.find_path(1,6)
a.find_path(3,10)
a.find_path(4,10)
print(a)