As Famil Door's birthday is coming, some of his friends (like Gabi) decided to buy a present for him. His friends are going to buy a string consisted of round brackets since Famil Door loves string of brackets of length n more than any other strings!…

Famil Door and Brackets Time Limit: 20 Sec  Memory Limit: 512 MB Description Input Output Sample Input 4 1 ( Sample Output 4 HINT Solution 显然,我们考虑运用DP.先求出 f[i][j] 表示 长度为 i 的括号序列,“)” 比 “(” 多 j 个的方案(时刻保证 j >= 0). 然后我们考虑怎样获得答案.先预处理出L,R表示将读入的括号序列消去若干对之后剩…

C. Famil Door and Brackets 题目连接: http://www.codeforces.com/contest/629/problem/C Description As Famil Door's birthday is coming, some of his friends (like Gabi) decided to buy a present for him. His friends are going to buy a string consisted of roun…

题目链接: codeforces 629C Famil Door and Brackets 题目描述: 给出完整的括号序列长度n,现在给出一个序列s长度为m.枚举串p,q,使得p+s+q是合法的括号串,长度为n,问p,q的取值数目. 解题思路: 枚举p的长度,可以直接得到q的长度.因为要满足在任意位置'(' 数目大于 ’)‘ 的数目,所以统计一下s串中 ’(‘ - ')' 的最小数目minx.dp[i][j] 代表 到位置 i 时,满足 '(' - ')' == j 的情况数目.然后枚举p的 j…

题意:给你一个长度为n的括号匹配串(不一定恰好匹配),让你在这个串的前面加p串和后面加上q串,使得这个括号串平衡(平衡的含义是对于任意位置的括号前缀和大于等于0,且最后的前缀和为0). 思路:枚举这个字符串前面p字符串的长度,我们可以使得p字符串的前缀和大于等于字符串s的最小前缀和minx,那么p+s就符合前缀和大于等于0,然后q的方案数也能确定了.我们用dp[i][j]表示i个括号平衡度为j的方案数,那么可以先预处理出来dp的值.然后我们算出s字符串的最小前缀和minx,最后我们只要枚举p的长…

题意:给你一个由括号组成的字符串,长度为m,现在希望获得一个长度为n(全由括号组成)的字符串,0<=n-m<=2000 这个长度为n的字符串要求有两个性质:1:就是任意前缀,左括号数量大于右括号数量 2:字符串中左括号的数量等于右括号 现在让你可以在长度为m的原串前加一个括号串p,在原串后加一个括号串q 最后p+m+q=n 问有多少种组合p,q能得到目标串 分析:(这题我不会,看了题解才会) 定义dp[i][j],为前缀长为i,且左括号数量-右括号数量=j的串有多少个 所以dp[0][0]=1…

C. Famil Door and Brackets time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output As Famil Door's birthday is coming, some of his friends (like Gabi) decided to buy a present for him. His friends…

题目大概说给一个长m的括号序列s,要在其前面和后面添加括号使其变为合法的长度n的括号序列,p+s+q,问有几种方式.(合法的括号序列当且仅当左括号总数等于右括号总数且任何一个前缀左括号数大于等于右括号数) 我这么想的:n-m<=2000,因而可以dp计算p和q的方案数,同时在各个地方加入s进行转移. dp[0/1][i][j]表示s没有/有加入时,p和q前i个括号已经确定且还有j的左括号还没匹配的方案数 注意到任何前缀的左括号都是大于等于右括号的,因此j这一维不会小于0. 那么转移,我用我为人人…

time limit per test2 seconds memory limit per test256 megabytes inputstandard input outputstandard output As Famil Door's birthday is coming, some of his friends (like Gabi) decided to buy a present for him. His friends are going to buy a string cons…

DP: 边界条件:dp[0][j] = 1 递推公式:dp[i][j] = sum{dp[i-k][j] * dp[k-1][j-1] | 0<k≤i} i对括号深度不超过j的,能够唯一表示为(X)Y形式,当中X和Y能够为空,设X有k-1对括号,则相应的方案数为dp[i-k][j] * dp[k-1][j-1] Little Brackets Time Limit: 2 Seconds      Memory Limit: 65536 KB Consider all regular bracke…

E. Arthur and Brackets time limit per test 2 seconds memory limit per test 128 megabytes input standard input output standard output Notice that the memory limit is non-standard. Recently Arthur and Sasha have studied correct bracket sequences. Arthu…

题目链接: http://codeforces.com/contest/629/problem/C 题意: 长度为n的括号,已经知道的部分的长度为m,现在其前面和后面补充‘(',或')',使得其长度为n,且每个左括号都能找到右括号与它匹配. 题解: dp[i][j]表示长度为i,平衡度为j的合法括号序列的总数,这里平衡度定义是‘('比')'多多少个,或')'比’('多多少个. #include<iostream> #include<cstring> #include<cstd…

DP. 具体做法:dp[i][j]表示长度为 i 的括号串,前缀和(左括号表示1,右括号表示-1)为 j 的有几种. 状态转移很容易得到:dp[i][j]=dp[i - 1][j + 1]+dp[i - 1][j - 1],表示 i 这位分别放上右括号和左括号. 然后就是要处理题目的问题了: 我们可以枚举P串的长度和P串的前缀和,来看这种情况下是否符合题目要求,如果符合答案增加. 那么如何判断P串长度为left,前缀和为p的情况下,有几种符合题目要求呢? 先对已经存在的那个S串做一次括号匹配,做…

题意大致是这样的,一共要放 m 段括号序列,每一段放 n 个括号,也就是放 n*m个括号,再每一段中的 n 个位置分别有放左括号和右括号的代价,问最终摆放出合法的括号序列的最小代价是多少. 另外保证,n小于20,m小于1e7,m是整数 这个大概是我一年前多做的,当时在21组上T了,然后就放弃了,我也不记得当时怎么做的了,也不想看以前的代码. 很明显 n 个段是循环的,所以肯定每个段作为一个整体考虑.为了保证括号序列的正确性,可以认为左括号为+1,右括号为-1,则正确性即过程中前缀和始终为正,最终…

//poj 2955 //sep9 #include <iostream> using namespace std; char s[128]; int dp[128][128]; int n; int rec(int l,int r) { if(dp[l][r]!=-1) return dp[l][r]; if(l==r) return dp[l][r]=0; if(l+1==r){ if(s[l]=='('&&s[r]==')') return dp[l][r]=2; if(…

Codeforces刷题计划 已完成:-- / -- [Codeforces370E]370E - Summer Reading:构造:(给定某些数,在空白处填数,要求不下降,并且相邻差值<=1,每个数出现2~5次) [Codeforces441E]441E - Valera and Number:期望DP:(p%概率*2,(1-p%)概率+1,最后质因子中2的个数的期望) [Codeforces542E]542E - Playing on Graph:结论 + Bfs + Dfs:(用给定方式…

居然补完了 组合 A - Far Relative’s Birthday Cake import java.util.*; import java.io.*; public class Main { public static void main(String[] args) { Scanner cin = new Scanner (new BufferedInputStream (System.in)); int n = cin.nextInt (); int[] col = new int[…

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…

题意:给括号匹配涂色,红色蓝色或不涂,要求见原题,求方案数 区间DP 用栈先处理匹配 f[i][j][0/1/2][0/1/2]表示i到ji涂色和j涂色的方案数 l和r匹配的话,转移到(l+1,r-1) 不匹配,i的匹配p一定在l和r之间,从p分开转移 听说用记忆化搜索比较快,可以像树形DP那样写记忆化搜索,也可以传统的四个参数那样写 用循环+条件判断,简化状态转移的枚举 注意细节 见代码 #include<iostream> #include<cstdio> #include&l…

Brackets Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 3624   Accepted: 1879 Description We give the following inductive definition of a “regular brackets” sequence: the empty sequence is a regular brackets sequence, if s 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&…

Description We give the following inductive definition of a “regular brackets” sequence: the empty sequence is a regular brackets sequence, if s is a regular brackets sequence, then (s) and [s] are regular brackets sequences, and if a and b are regul…

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 sequence. F…

Description We give the following inductive definition of a “regular brackets” sequence: the empty sequence is a regular brackets sequence, if s is a regular brackets sequence, then (s) and [s] are regular brackets sequences, and if a and b are regul…

Brackets Sequence Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 35049   Accepted: 10139   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 r…

http://poj.org/problem?id=2955 Description We give the following inductive definition of a “regular brackets” sequence: the empty sequence is a regular brackets sequence, if s is a regular brackets sequence, then (s) and [s] are regular brackets sequ…

Arthur and Brackets 区间dp, dp[ i ][ j ]表示第 i 个括号到第 j 个括号之间的所有括号能不能形成一个合法方案. 然后dp就完事了. #include<bits/stdc++.h> #define LL long long #define fi first #define se second #define mk make_pair #define PLL pair<LL, LL> #define PLI pair<LL, int>…

题目链接: http://codeforces.com/problemset/problem/149/D D. Coloring Brackets time limit per test2 secondsmemory limit per test256 megabytes 问题描述 Once Petya read a problem about a bracket sequence. He gave it much thought but didn't find a solution. Toda…

Description We give the following inductive definition of a “regular brackets” sequence: the empty sequence is a regular brackets sequence, if s is a regular brackets sequence, then (s) and [s] are regular brackets sequences, and if a and b are regul…

Brackets My Tags (Edit) Source : Stanford ACM Programming Contest 2004 Time limit : 1 sec Memory limit : 32 M Submitted : 188, Accepted : 113 5.1 Description We give the following inductive definition of a "regular brackets" sequence: • the empt…