题目链接:https://icpcarchive.ecs.baylor.edu/index.php?option=com_onlinejudge&Itemid=8&category=98&page=show_problem&problem=452 用dp[i][j] 记录一段序列,starts from index i, ends with index j,需要添加的char的个数.对于一段序列i~j,如果i, j 配对的话,那么dp[i][j]=dp[i+1][j-1].…

题意:用最少的括号将给定的字符串匹配,输出最优解.可能有空行. 思路:dp. dp[i][j]表示将区间i,j之间的字符串匹配需要的最少括号数,那么 如果区间左边是(或[,表示可以和右边的字符串匹配,枚举中间断点k,如果str[i]==str[k]则dp[i][j]=min(dp[i][j],dp[i+1][k-1]+dp[k+1][j])表示不需要加入新的括号,也可以插入新的括号则dp[i][j]=min(dp[i][j],dp[i+1][k]+dp[k+1][j]+1). 如果区间最左边字符…

链接: https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=4501 题意: 定义如下正规括号序列(字符串):1.空序列是正规括号序列.2.如果S是正规括号序列,那么(S)和[S]也是正规括号序列.3.如果A和B都是正规括号序列,那么AB也是正规括号序列.输入一个长度不超过100的,由“(”.“)”.“[”.“]”构成的序列,添加尽量少的括号,…

http://acm.hust.edu.cn/vjudge/contest/view.action?cid=105116#problem/E 题意:添加最少的括号,让每个括号都能匹配并输出 分析:dp[i][j]表示第i个到第j个需要添加的最少的括号,pos[i][j] = k;表示i到j间第k个需要加括号: 如果str[i]和str[j]匹配,那么dp[i][j] = max(dp[i + 1][j - 1], dp[i][j]); 如果str[i]和str[j]不匹配,那么dp[i][j]…

题意:给定一个括号序列,将它变成匹配的括号序列,可能多种答案任意输出一组即可.注意:输入可能是空串. 思路:D[i][j]表示区间[i, j]至少需要匹配的括号数,转移方程D[i][j] = min(D[i][k] + D[k+1][j], D[i][j]).     输入时,可能是空串应该用gets.fgets.getline,应注意换行符的吸收.每组数据前有一个换行符,输出的两组数据之间有换行. AC代码: #include<cstdio> #include<vector> #…

题意:给定一个串,可能空串,或由'[',']','(',')'组成.问使其平衡所需添加最少的字符数,并打印平衡后的串. 分析:dp[i][j]表示区间(i,j)最少需添加的字符数. 1.递推. #include<cstdio> #include<cstring> #include<cstdlib> #include<cctype> #include<cmath> #include<iostream> #include<sstre…

Brackets Sequence Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 27793   Accepted: 7885   Special Judge Description Let us define a regular brackets sequence in the following way: 1. Empty sequence is a regular sequence. 2. If S is a re…

Brackets Sequence Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 29502   Accepted: 8402   Special Judge Description Let us define a regular brackets sequence in the following way: 1. Empty sequence is a regular sequence. 2. If S is a re…

Description Let us define a regular brackets sequence in the following way: 1. Empty sequence is a regular sequence. 2. If S is a regular sequence, then (S) and [S] are both regular sequences. 3. If A and B are regular sequences, then AB is a regular…

题目传送门 /* 记忆化搜索(DP+DFS):dp[i][j] 表示第i到第j个字符,最少要加多少个括号 dp[x][x] = 1 一定要加一个括号:dp[x][y] = 0, x > y; 当s[x] 与 s[y] 匹配,则搜索 (x+1, y-1); 否则在x~y-1枚举找到相匹配的括号,更新最小值 */ #include <cstdio> #include <algorithm> #include <cmath> #include <iostream&…