algorithm-in-python/dataStructure/unionFindSet/friendsCircle.py
2019-01-31 12:09:46 +08:00

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#coding: utf-8
''' mbinary
#######################################################################
# File : unionFind.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-18 14:53
# Description:
班上有 N 名学生。其中有些人是朋友,有些则不是。他们的友谊具有是传递性。如果已知 A 是 B 的朋友B 是 C 的朋友,那么我们可以认为 A 也是 C 的朋友。所谓的朋友圈,是指所有朋友的集合。
给定一个 N * N 的矩阵 M表示班级中学生之间的朋友关系。如果 M[i][j] = 1表示已知第 i 个和 j 个学生互为朋友关系,否则为不知道。你必须输出所有学生中的已知的朋友圈总数。
#######################################################################
'''
class Solution(object):
def findCircleNum(self, M):
"""
:type M: List[List[int]]
:rtype: int
"""
n = len(M)
self.data = [i for i in range(n)]
for i in range(n):
for j in range(n):
if M[i][j]==1:
self.union(i,j)
ret = set()
for i in range(n):
ret.add(self.find(i))
return len(ret)
def find(self,i):
if self.data[i]!=i:
self.data[i] = self.find(self.data[i])
return self.data[i]
def union(self,i,j):
if i!=j:
n = self.find(i)
if n!=self.find(j):
self.data[n]= self.data[j]