A8531. Good Matrix Elements
编程题
普及/提高-
知识点
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  rows above it and the same number of rows below it.
- Elements of the "middle" column — the column that has exactly  columns to the left of it and the same number of columns to the right of it.
 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.
- Elements of the main diagonal.
- Elements of the secondary diagonal.
- Elements of the "middle" row — the row which has exactly  rows above it and the same number of rows below it.
- Elements of the "middle" column — the column that has exactly  columns to the left of it and the same number of columns to the right of it.
 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:
- $1<=n<=101$
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.