4939: Expensive Strings

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

题目描述

F. Expensive Strings
time limit per test
6 seconds
memory limit per test
512 megabytes
input
standard input
output
standard output
You are given n strings ti. Each string has cost ci.
Let's define the function of string , where ps,i is the number of occurrences of s in ti, |s| is the length of the string s. Find the maximal value of function f(s) over all strings.
Note that the string s is not necessarily some string from t.
Input
The first line contains the only integer n (1≤n≤105) − the number of strings in t.
Each of the next n lines contains contains a non-empty string ti. ti contains only lowercase English letters.
It is guaranteed that the sum of lengths of all strings in t is not greater than 5·105.
The last line contains n integers ci (-107ci≤107) − the cost of the i-th string.
Output
Print the only integer a − the maximal value of the function f(s) over all strings s. Note one more time that the string s is not necessarily from t.
Examples
Input
2
aa
bb
2 1
Output
4
Input
2
aa
ab
2 1
Output
5

输入样例 复制


输出样例 复制