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LaTeX-examples/presentations/ICPC-Referat/Material/kosaraju.py
2013-11-05 19:52:56 +01:00

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Python

#!/usr/bin/python
# -*- coding: utf-8 -*-
"""
@source: http://codehiker.wordpress.com/2012/04/06/kosarajus-scc/
I made minor changs
"""
import sys
sys.setrecursionlimit(300000)
source = 'SCC.txt'
N = 875714
#globals
visited = {}
finish = {}
leader = {}
def getG(source):
""" Read the Graph from a textfile """
G = {}
Grev = {}
for i in range(1,N+1):
G[i] = []
Grev[i] = []
fin = open(source)
for line in fin:
v1 = int(line.split()[0])
v2 = int(line.split()[1])
G[v1].append(v2)
Grev[v2].append(v1)
fin.close()
return G, Grev
def init():
for i in range(1,N+1):
visited[i] = 0
finish[i] = 0
leader[i] = 0
def dfs(G, i):
global t
visited[i] = 1
leader[i] = s
for j in G[i]:
if(visited[j]==0): dfs(G,j)
t = t + 1
finish[i] = t
def dfs_loop(G):
global t
global s
t = 0 #number of nodes processed so far
s = 0 #current source vertex
i = N
while(i>0):
if(visited[i]==0):
s=i
dfs(G,i)
i=i-1
if __name__ == "__main__":
init()
g, grev=getG()
dfs_loop(grev) #THE FIRST LOOP ON REVERSE GRAPH
# construct new graph
newGraph = {}
for i in range(1, N+1):
temp = []
for x in g[i]: temp.append(finish[x])
newGraph[finish[i]] = temp
init()
dfs_loop(newGraph) #THE SECOND LOOP
# statistics
lst = sorted(leader.values())
stat = []
pre = 0
for i in range(0,N-1):
if lst[i] != lst[i+1]:
stat.append(i + 1 - pre)
pre=i+1
stat.append(N-pre)
L = sorted(stat)
L.reverse()
print(L[0:5])