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A8531. Good Matrix Elements

编程题 普及/提高-

题目描述

The Smart Beaver from ABBYY got hooked on square matrices. Now he is busy studying an $n×n$ size matrix, where $n$ is odd. The Smart Beaver considers the following matrix elements good:

- Elements of the main diagonal.
- Elements of the secondary diagonal.
- Elements of the "middle" row — the row which has exactly ![](/uploads/acgo/image/8fd6cc6005c7ea20_a03acc6d9876.jpeg) rows above it and the same number of rows below it.
- Elements of the "middle" column — the column that has exactly ![](/uploads/acgo/image/8fd6cc6005c7ea20_a03acc6d9876.jpeg) columns to the left of it and the same number of columns to the right of it.

![](/uploads/acgo/image/57aa3c54ba60daf4_2c3997afb948.jpeg) The figure shows a $5×5$ matrix. The good elements are marked with green. Help the Smart Beaver count the sum of good elements of the given matrix.

输入格式

The first line of input data contains a single odd integer $n$ . Each of the next $n$ lines contains $n$ integers $a_{ij}$ $(0<=a_{ij}<=100)$ separated by single spaces — the elements of the given matrix.

The input limitations for getting 30 points are:

- $1<=n<=5$

The input limitations for getting 100 points are:

- $1<=n<=101$

输出格式

Print a single integer — the sum of good matrix elements.

输入输出样例

输入 #1
3
1 2 3
4 5 6
7 8 9
输出 #1
45
输入 #2
5
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
输出 #2
17

说明/提示

In the first sample all matrix elements will be good. Good elements in the second sample are shown on the figure.
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