## Rectangular Reckonings

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Points: 5 (partial)
Time limit: 2.0s
Memory limit: 64M

Author:
Problem types

Given a square, -indexed, -d array of integers, of width and length , and a separate set of subarrays, find the sum of all the elements in the original array that are a part of exactly a single subarray.

Each subarray is described using two separate indices, the "top-left" index, and the "bottom-right" index. This system makes the most sense if you think about the array like a grid with at the top-left and at the bottom-right. Each subarray can then be thought of as a rectangle that fits inside the grid.

#### Input Specification

The first line contains a single integer , the size of both dimensions of the array.

The next lines will each contain integers, the contents of the array. These integers will all be between and inclusive.

The next line contains a single integer the number of subarrays.

The next lines will contain four integers , , , , the top-left indices followed by the bottom-right indices of a subarray.

It can be noted that for all subarrays and .

#### Output Specification

A single integer, the total sum of all the elements that are only in subarray.

##### Sample Cases [10%]

No further restrictions.

#### Sample Input 1

4
1 2 3 4
5 6 7 8
9 1 1 0
1 3 5 1
1
1 1 2 3

#### Sample Output 1

23

#### Sample Input 2

4
1 2 3 4
5 6 7 8
9 1 1 0
1 3 5 1
2
1 1 2 3
2 1 3 3

#### Sample Output 2

19

#### Sample Visual

Here is the array that is used in both sample inputs, with the subarray 1 1 2 3 outlined in red and the subarray 2 1 3 3 outlined in green: