# GSS5 - Can you answer these queries V

## 题目描述

You are given a sequence A$1$, A$2$, ..., A$N$ . ( |A$i$| <= 10000 , 1 <= N <= 10000 ). A query is defined as follows: Query(x1,y1,x2,y2) = Max { A$i$+A$i+1$+...+A$j$ ; x1 <= i <= y1 , x2 <= j <= y2 and x1 <= x2 , y1 <= y2 }. Given M queries (1 <= M <= 10000), your program must output the results of these queries.

## 输入输出格式

### 输入格式

The first line of the input consist of the number of tests cases <= 5. Each case consist of the integer N and the sequence A. Then the integer M. M lines follow, contains 4 numbers x1, y1, x2 y2.

### 输出格式

Your program should output the results of the M queries for each test case, one query per line.

## 输入输出样例

### 输入样例 #1

2
6 3 -2 1 -4 5 2
2
1 1 2 3
1 3 2 5
1 1
1
1 1 1 1

### 输出样例 #1

2
3
1