mirror of
https://github.com/heqin-zhu/algorithm.git
synced 2024-03-22 13:30:46 +08:00
209 lines
5.9 KiB
Python
209 lines
5.9 KiB
Python
from collections import Iterable,deque
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class vertex:
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def __init__(self,mark,firstEdge=None,val=None):
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self.mark = mark
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self.val = val
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self.firstEdge = firstEdge
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self.isVisited = False
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def __str__(self):
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return 'V'+str(self.mark)
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def __repr__(self):
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return str(self)
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class edge:
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def __init__(self,adjVertexs, weight = 1,nextEdge=None):
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'''adjVertexs:tuple(v.mark,u.mark)'''
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self.weight = weight
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self.adjVertexs = adjVertexs
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self.nextEdge = nextEdge
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self.isVisted = False
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def __add__(self,x):
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return self.weight +x
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def __radd__(self,x):
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return self+x
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def __getitem__(self,k):
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if k!=0 or k!=1:raise IndexError
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return self.adjVertexs[k]
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def __str__(self):
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return '--'+str(self.weight)+'--'
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def __repr__(self):
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return str(self)
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@property
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def v(self):
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return self.adjVertexs[0]
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@property
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def u(self):
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return self.adjVertexs[1]
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class graph:
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def __init__(self):
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self.vertexs = {}
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self.edges = {}
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def __getitem__(self,i):
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return self.vertexs[i]
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def __setitem__(selfi,x):
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self.vertexs[i]= x
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def __iter__(self):
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return iter(self.vertexs)
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def __bool__(self):
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return len(self.vertexs)!=0
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def addVertex(self,vertexs):
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'''vertexs is a iterable or just a mark that marks the vertex,whichc can be every imutable type'''
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if not isinstance(vertexs,Iterable):vertexs=[vertexs]
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for i in vertexs:
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if not isinstance(i,vertex) and i not in self.vertexs:self.vertexs[i]= vertex(i)
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if isinstance(i,vertex) and i not in self.vertexs:self.vertexs[i.mark]= i
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def __getVertex(self,v):
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if not isinstance(v,vertex):
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if v not in self.vertexs:
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self.vertexs[v]=vertex(v)
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return self.vertexs[v]
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return v
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def addEdge(self,v,u,weight = 1):
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v = self.__getVertex(v)
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u = self.__getVertex(u)
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arc = self.findEdge(v,u)
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if arc!=None:return #examine that if v,u have been already connected
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vertexs = (v,u)
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newEdge = edge (vertexs,weight)
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self.edges[vertexs] = newEdge
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if v.firstEdge==None:
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v.firstEdge=newEdge
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else:
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arc=v.firstEdge.nextEdge
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v.firstEdge=newEdge
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def findEdge(self,v,u):
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v = self.__getVertex(v)
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u = self.__getVertex(u)
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arc = v.firstEdge
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while arc!=None and u not in arc:
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arc = arc.nextEdge
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if arc!=None:return arc
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arc = u.firstEdge
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while arc!=None and v not in arc:
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arc = arc.nextEdge
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return arc
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def delEdge(self,v,u):
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if not isinstance(v,vertex):v= self.vertexs[v]
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if not isinstance(u,vertex):u= self.vertexs[u]
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if u in v.firstEdge:
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v.firstEdge =v.firstEdge.nextEdge
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else:
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arc = v.firstEdge
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while arc.nextEdge!=e:
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arc = arc.nextEdge
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if arc!=None: arc.nextEdge = arc.nextEdge.nextEdge
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else:
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if v in u.firstEdge:
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u.firstEdge =u.firstEdge.nextEdge
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else:
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arc = u.firstEdge
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while arc.nextEdge!=e:
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arc = arc.nextEdge
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arc.nextEdge = arc.nextEdge.nextEdge
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del self.edges[(v,u)]
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def revisit(self):
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for i in self.vertexs.values():
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i.isVisited = False
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for i in self.edges.values():
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i.isVisited = False
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def __str__(self):
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arcs= list(self.edges.keys())
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arcs=[str(i[0])+str(self.edges[i])+str(i[1]) for i in arcs]
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s= '\n'.join(arcs)
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return s
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def __repr__(self):
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return str(self)
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def minPath(self,v,u):
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if v not in self or u not in self:return -1
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v=self.__getVertex(v)
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u=self.__getVertex(u)
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q=deque([v])
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last={i:None for i in self.vertexs.values()}
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last[v] = 0
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ds={i:1000000 for i in self.vertexs.values()}
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ds[v]=0
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while len(q)!=0:
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nd = q.popleft()
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nd.isVisited=True
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arc = nd.firstEdge
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while arc!=None:
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tgt=None
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if arc.v==nd:
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tgt = arc.u
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else:tgt = arc.v
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tmp=ds[nd]+arc
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if ds[tgt] >tmp:
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ds[tgt]=tmp
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last[tgt] = nd
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if not tgt.isVisited:q.append(tgt)
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'''
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cur = u
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while cur !=v:
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print(str(cur)+'<---',end='')
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cur =last[cur]
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print(str(v))
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'''
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return ds[u]
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def hasCircle(self):
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pass
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def display(self):
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print('vertexs')
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for i in self.vertexs:
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print(i)
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print('edges')
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for i in self.edges:
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arc=self.edges[i]
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print(str(arc.v)+str(arc)+str(arc.u))
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if __name__=='__main__':
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n=int(input())
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while n>0:
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cities=int(input())
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n-=1
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g=graph()
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li={}
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for i in range(cities):
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li[input()]=i+1
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arc=int(input())
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for j in range(arc):
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s=input().split(' ')
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g.addEdge(i+1,int(s[0]),int(s[1]))
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ct =int(input())
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for i in range(ct):
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line = input()
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line= line .split(' ')
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v,u = li[line[0]],li[line[1]]
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print(g.minPath(v,u))
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g.revisit()
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#http://www.spoj.com/submit/SHPATH/id=20525991
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'''
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1
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4
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gdansk
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2
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2 1
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3 3
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bydgoszcz
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3
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1 1
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3 1
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4 4
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torun
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3
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1 3
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2 1
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4 1
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warszawa
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2
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2 4
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3 1
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2
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gdansk warszawa
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bydgoszcz warszawa
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V4<---V3<---V2<---V1
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3
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V4<---V3<---V2
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2
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>>>
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'''
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