RATAR - Ratar

有一个N*N 的矩阵,矩阵内元素大小ai∈[−1000,1000] 现在你要选两个子矩 阵，满足： - 1.两个子矩阵内的元素之和恰好相等。 - 2.两个子矩阵的边界（指的是矩形的边界，不是指边界的元素）恰好有一个公共点， - 3.不存在一个元素同时属于这两个子矩阵。 求方案数。

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The first line of input contains the positive integer N (1 land plot. Each of the following N lines contains N space-separated numbers Aij (-1000 < Aij < 1000), the income provided by the respective cell.

The first and only line of output must contain the total number of plot pairs satisfying the given condition.

3
1 2 3
2 3 4
3 4 8

7