2008年9月29日星期一

ZJU/ZOJ 1463 Brackets Sequence 解题报告

题目大意是给出一段括号序列,要求添加最少括号使其成为规则序列并输出。

本题属于在区间内进行DP的题目,用f[i,j]表示从序列的第i-j段需要添加的最少括号数。可以分成两种情况考虑,一种是i和j恰好能够匹配,另一种是i和j无法匹配。如果是前者则f[i,j]=min(f[i+1,j-1],f[i,k]+f[k+1,j]);否则f[i,j]=min(f[i,k]+f[k+1,j]);并且在DP过程中记录下转移到当前状态的前一个状态,利用此递归输出答案即可。

1649555 2008-09-23 16:54:23 Accepted 1463 FPC 0 420 IwfWcf

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