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有向图最短路径floyd算法的python实现

2018年02月15日 ⁄ 综合 ⁄ 共 535字 ⁄ 字号 评论关闭
Created on 2012-11-8

@author: Pandara
'''
import sys

def floyd(l, n):
    '''
    l: l[i][j] = distace of i and j if <i, j> in E else sys.maxint
    k: sum of point
    '''
    d = l[:]
    
    route = [([''] * n) for i in range(n)]
    for i in range(n):
        for j in range(n):
            if d[i][j]:
                route[i][j] = str(i + 1) + " " + str(j + 1)
    
    for k in range(n):
        for i in range(n):
            for j in range(n):
                if d[i][j] > d[i][k] + d[k][j]:
                    d[i][j] = d[i][k] + d[k][j]
                    route[i][j] = route[i][k] + " " + route[k][j][2:]

    return d, route

if __name__ == "__main__":
    n = 3
    l = [[0, 2, 9], [8, 0, 6], [1, sys.maxint, 0]]
    d, route = floyd(l, n)
    
    for i in d:
        for j in i:
            print j,
        print ""
    
    for i in route:
        for j in i:
            print "[" + j + "],",
        print ""

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