algorithm-in-python/graph/dfs.py

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2019-06-02 23:16:01 +08:00
#coding: utf-8
''' mbinary
#######################################################################
# File : dfs.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2019-05-27 10:02
# Description:
from leetcode-cn #1048: https://leetcode-cn.com/problems/longest-string-chain/
给出一个单词列表其中每个单词都由小写英文字母组成
如果我们可以在 word1 的任何地方添加一个字母使其变成 word2那么我们认为 word1 word2 的前身例如"abc" "abac" 的前身
词链是单词 [word_1, word_2, ..., word_k] 组成的序列k >= 1其中 word_1 word_2 的前身word_2 word_3 的前身依此类推
从给定单词列表 words 中选择单词组成词链返回词链的最长可能长度
#######################################################################
'''
class Solution:
def longestStrChain(self, words: List[str]) -> int:
def isAdj(s1,s2):
if len(s1)>len(s2):
s1,s2 = s2,s1
n1,n2 = len(s1),len(s2)
if n2-n1!=1:
return False
i=j=0
flag = False
while i<n1 and j<n2:
if s1[i]!=s2[j]:
if flag:
return False
flag = True
j+=1
else:
i+=1
j+=1
return True
def dfs(begin):
ans = 1
w = words[begin]
n = len(w)
if n+1 in lenDic:
for nd in lenDic[n+1]:
#print(w,words[nd],isAdj(w,words[nd]))
if isAdj(w,words[nd]):
ans = max(ans,1+dfs(nd))
return ans
lenDic = {}
for i in range(len(words)):
n = len(words[i])
if n in lenDic:
lenDic[n].add(i)
else:
lenDic[n]={i}
lens = sorted(lenDic)
n = len(lens)
ans = 0
for i in range(n):
if ans < n-i:
for nd in lenDic[lens[i]]:
ans = max(ans,dfs(nd))
return ans