Vessels

题意翻译

有$n$个可爱的沙漏,第$i$个沙漏的容量为$a_i$。给定$m$次操作或询问: ①$1\ u\ x$: 在第$u$个沙漏中加容量为$x$的水; ②$2\ u$: 查询在第$u$个沙漏中有多少单位的水。 注意,如果第$i$个沙漏溢出了,**那么溢出的那一部分水会流到第$i+1$个沙漏**;特别的,从最后一层的沙漏漏下来的水会流到地板上。

题目描述

There is a system of $ n $ vessels arranged one above the other as shown in the figure below. Assume that the vessels are numbered from 1 to $ n $ , in the order from the highest to the lowest, the volume of the $ i $ -th vessel is $ a_{i} $ liters. ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF371D/f198564e53bb2ea5c99e17b823930a432879118f.png)Initially, all the vessels are empty. In some vessels water is poured. All the water that overflows from the $ i $ -th vessel goes to the $ (i+1) $ -th one. The liquid that overflows from the $ n $ -th vessel spills on the floor. Your task is to simulate pouring water into the vessels. To do this, you will need to handle two types of queries: 1. Add $ x_{i} $ liters of water to the $ p_{i} $ -th vessel; 2. Print the number of liters of water in the $ k_{i} $ -th vessel. When you reply to the second request you can assume that all the water poured up to this point, has already overflown between the vessels.

输入输出格式

输入格式


The first line contains integer $ n $ — the number of vessels ( $ 1<=n<=2·10^{5} $ ). The second line contains $ n $ integers $ a_{1},a_{2},...,a_{n} $ — the vessels' capacities ( $ 1<=a_{i}<=10^{9} $ ). The vessels' capacities do not necessarily increase from the top vessels to the bottom ones (see the second sample). The third line contains integer $ m $ — the number of queries ( $ 1<=m<=2·10^{5} $ ). Each of the next $ m $ lines contains the description of one query. The query of the first type is represented as " $ 1 p_{i} x_{i} $ ", the query of the second type is represented as " $ 2 k_{i} $ " ( $ 1<=p_{i}<=n $ , $ 1<=x_{i}<=10^{9} $ , $ 1<=k_{i}<=n $ ).

输出格式


For each query, print on a single line the number of liters of water in the corresponding vessel.

输入输出样例

输入样例 #1

2
5 10
6
1 1 4
2 1
1 2 5
1 1 4
2 1
2 2

输出样例 #1

4
5
8

输入样例 #2

3
5 10 8
6
1 1 12
2 2
1 1 6
1 3 2
2 2
2 3

输出样例 #2

7
10
5