#include<iostream>
using namespace std;
const long long dismo = 1000000007;
long long n = 0;
long long** multimatrix;
long long** saved;
long long A(long long index_x, long long index_y)
{
long long save = saved[index_x][index_y];
if (save != -1)
return save;
long long count = 0;
long long squareval = multimatrix[index_x][index_y];
for (long long i = 0; i < n; ++i)
{
long long boo = (squareval - multimatrix[i][index_y] > 0);
if (!boo) continue;
count = (count + boo) % dismo;
count = (count + A(i, index_y)) % dismo;
}
for (long long i = 0; i < n; ++i)
{
long long boo = (squareval - multimatrix[index_x][i] > 0);
if (!boo) continue;
count = (count + boo) % dismo;
count = (count + A(idex_x, i)) % dismo;
}
saved[index_x][index_y] = count;
return count;
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
long long countLIBERAL = 0;
cin >> n;
multimatrix = new long long* [n];
for (long long ih = 0; ih < n; ++ih)
multimatrix[ih] = new long long[n];
saved = new long long* [n];
for (long long ij = 0; ij < n; ++ij)
saved[ij] = new long long[n];
for (long long i6 = 0; i6 < n; ++i6)
for (long long i7 = 0; i7 < n; ++i7)
saved[i6][i7] = -1;
for (long long ix = 0; ix < n; ++ix)
for (long long iy = 0; iy < n; ++iy)
{
cin >> multimatrix[ix][iy];
}
for (long long lx = 0; lx < n; ++lx)
for (long long ny = 0; ny < n; ++ny)
{
countLIBERAL += A(lx, ny);
}
cout << (countLIBERAL + (n * n)) % dismo;
return 0;
}