#!/usr/bin/env?python
#?coding=utf-8


def?print_lcs（b?X?i?j）:
????if?i?==?0?or?j?==?0:
????????return
????if?b[i][j]?==?1:
????????print_lcs（b?X?i?-?1?j?-?1）
????????print?X[i?-?1]
????elif?b[i][j]?==?2:
????????print_lcs（b?X?i?-?1?j）
????else:
????????print_lcs（b?X?i?j?-?1）


def?lcs_length（X?Y）:
????m?=?len（X）
????n?=?len（Y）
????b?=?[[0?for?i?in?range（m?+?1）]?for?j?in?range（n?+?1）]
????c?=?[[0?for?i?in?range（m?+?1）]?for?j?in?range（n?+?1）]
????for?i?in?range（1?m?+?1）:
????????for?j?in?range（1?n?+?1）:
????????????if?X[i?-?1]?==?Y[j?-?1]:
????????????????c[i][j]?=?c[i?-?1][j?-?1]?+?1
????????????????b[i][j]?=?1
????????????elif?c[i?-?1][j]?>=?c[i][j?-?1]:
????????????????c[i][j]?=?c[i?-?1][j]
????????????????b[i][j]?=?2
????????????else:
????????????????c[i][j]?=?c[i][j?-?1

?屬性????????????大小?????日期????時(shí)間???名稱
-----------?---------??----------?-----??----
?????目錄???????????0??2016-05-10?00:08??homework2\
?????文件????????1161??2016-05-06?16:07??homework2\longest_common_subsequence.py
?????文件?????????980??2016-05-06?16:08??homework2\longest_common_substring.py
?????文件????????1203??2016-05-06?15:55??homework2\matrix_chain.py
?????文件?????????441??2016-05-09?22:25??homework2\max_sum.py
?????文件???????85504??2016-03-01?22:41??homework2\practice?2.doc
?????文件????????1252??2016-05-06?17:59??homework2\shortest_path.py