Save the Magazines

题意翻译

有 $n$ 个箱子，第 $i$ 个箱子里面装着 $a_i$ 个杂志。现在正在下雨，有一些箱子上面盖着盖板（如果一个箱子上盖了盖板，那么这个箱子里的杂志就不会被雨淋），并且可以将盖在第 $i$ 个箱子上的盖板移到第 $i-1$ 个箱子上（同一个盖板至多移动一次）。求不会被雨淋的杂志数量的最大值。

题目描述

Monocarp has been collecting rare magazines for quite a while, and now he has decided to sell them. He distributed the magazines between $ n $ boxes, arranged in a row. The $ i $ -th box contains $ a_i $ magazines. Some of the boxes are covered with lids, others are not. Suddenly it started to rain, and now Monocarp has to save as many magazines from the rain as possible. To do this, he can move the lids between boxes as follows: if the $ i $ -th box was covered with a lid initially, he can either move the lid from the $ i $ -th box to the box $ (i-1) $ (if it exists), or keep the lid on the $ i $ -th box. You may assume that Monocarp can move the lids instantly at the same moment, and no lid can be moved more than once. If a box will be covered with a lid after Monocarp moves the lids, the magazines in it will be safe from the rain; otherwise they will soak. You have to calculate the maximum number of magazines Monocarp can save from the rain.

输入输出格式

输入格式

The first line contains a single integer $ t $ ( $ 1 \le t \le 10^4 $ ) — the number of the testcases. The first line of each testcase contains a single integer $ n $ ( $ 1 \le n \le 2 \cdot 10^5 $ ) — the number of boxes. The second line contains a string of $ n $ characters 0 and/or 1. If the $ i $ -th character is 1, the $ i $ -th box is initially covered with a lid. If the $ i $ -th character is 0, the $ i $ -th box is initially not covered. The third line contains a sequence of integers $ a_1, a_2, \dots, a_n $ ( $ 1 \le a_i \le 10^4 $ ), where $ a_i $ is the number of magazines in the $ i $ -th box. The sum of $ n $ over all testcases doesn't exceed $ 2 \cdot 10^5 $ .

输出格式

For each testcase, print one integer — the maximum number of magazines Monocarp can save from the rain.

输入输出样例

输入样例 #1

4
5
01110
10 5 8 9 6
6
011011
20 10 9 30 20 19
4
0000
100 100 100 100
4
0111
5 4 5 1

输出样例 #1

27
80
0
14

说明

In the first testcase of the example, Monocarp can move the lid from the second box to the first box, so the boxes $ 1 $ , $ 3 $ and $ 4 $ are covered, and $ 10 + 8 + 9 = 27 $ magazines are saved. In the second testcase, Monocarp can move the lid from the second box to the first box, then from the third box to the second box, then from the fifth box to the fourth box, and then from the sixth box to the fifth box. The boxes $ 1 $ , $ 2 $ , $ 4 $ and $ 5 $ will be covered, so $ 20 + 10 + 30 + 20 = 80 $ magazines can be saved. There are no lids in the third testcase, so it's impossible to save even a single magazine.

题意翻译

有 $n$ 个箱子，第 $i$ 个箱子里面装着 $a_i$ 个杂志。现在正在下雨，有一些箱子上面盖着盖板（如果一个箱子上盖了盖板，那么这个箱子里的杂志就不会被雨淋），并且可以将盖在第 $i$ 个箱子上的盖板移到第 $i-1$ 个箱子上（同一个盖板至多移动一次）。求不会被雨淋的杂志数量的最大值。