# 4391 : Strike Zone

- 제한시간
- 1000 ms

- 메모리제한
- 512 MB

- 해결횟수
- 1 회

- 시도횟수
- 1 회

### 문제

The strike zone in baseball is the volume of space which a baseball must pass through in order to be called a strike, if the batter does not swing. A baseball that misses the strike zone is called a ball, if the batter does not swing. Figure H.1 shows the locations of baseballs at plate which were captured by a ball tracking device during a baseball match. Each blue point was called a strike and each red point was called a ball during the match. This may motivate us to define a rectangular region that represents the strike zone of the match, by analyzing such a ball tracking data of the match.

In this problem, you are given two sets, P_{1} and P_{2}, of points in the plane and two positive constants c_{1} and c_{2}. You are asked to find an axis-parallel rectangle R that maximizes the evaluation function eval(R) = c_{1} × s - c_{2} × b, where s is the number of points in P_{1} ∩ R and b is the number of points in P_{2} ∩ R.

### 입력형식

Your program is to read from standard input. The input starts with a line containing an integer n_{1} (1 ≤ n_{1} ≤ 1,000), where n_{1} denotes the number of points in P_{1}. In the following n_{1} lines, each line consists of two integers, ranging -10^{9} to 10^{9}, representing the coordinates of a point in P_{1}. The next line contains an integer n_{2} (1 ≤ n_{2} ≤ 1,000), where n_{2} denotes the number of points in P_{2}. In the following n_{2} lines, each line consists of two integers, ranging -10^{9} to 10^{9}, representing the coordinates of a point in P_{2}. There are no two points in P_{1} ∪ P_{2} that share the same x or y coordinate. Then the next line consists of two integers, c_{1} and c_{2}, ranging 1 to 10,000.

### 출력형식

Your program is to write to standard output. Print exactly one line consisting of one integer that is eval(ܴR), where R is an axis-parallel rectangle with the maximum possible eval value for P_{1} and P_{2} with respect to c_{1} and c_{2}.

## 입력 예2 -1 -1 4 4 2 0 0 2 2 5 2 |
## 출력 예6 |

## 입력 예3 0 5 3 3 8 -1 3 1 4 6 0 7 1 3 2 |
## 출력 예4 |