ZUFEOJ Home ProblemSet Source/Category Contest Status Ranklist F.A.Qs
Login Register

5771: Deleting Substrings

内存限制：256 MB 时间限制：2 S
题面：传统 评测方式：文本比较 上传者：
提交：1 通过：1
提交提交记录统计Web Board

题目描述

E. Deleting Substrings
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
SmallR likes a game called "Deleting Substrings". In the game you are given a sequence of integers w, you can modify the sequence and get points. The only type of modification you can perform is (unexpected, right?) deleting substrings. More formally, you can choose several contiguous elements of w and delete them from the sequence. Let's denote the sequence of chosen elements as wl,wl+1,...,wr. They must meet the conditions:
  • the equality |wi-wi+1|=1 must hold for all i (l≤i<r);
  • the inequality 2·wi-wi+1-wi-1≥0 must hold for all i (l<i<r).
After deleting the chosen substring of w, you gain vr-l+1 points. You can perform the described operation again and again while proper substrings exist. Also you can end the game at any time. Your task is to calculate the maximum total score you can get in the game.
Input
The first line contains a single integer n (1≤n≤400) − the initial length of w. The second line contains n integers v1,v2,...,vn (0≤|vi|≤2000) − the costs of operations. The next line contains n integers w1,w2,...,wn (1≤wi≤109) − the initial w.
Output
Print a single integer − the maximum total score you can get.
Examples
Input 
3
0 0 3
1 2 1
Output 
3
Input 
6
1 4 5 6 7 1000
2 1 1 2 2 3
Output 
12

输入样例 复制

输出样例 复制

分类标签