Matrix inversion

المدخلات

The first line contains the size of the matrix $n$ (1 \leq n \leq 100). Each of the next $n$ lines contains $n$ real numbers — the data of the matrix.

المخرجات

If the inverse matrix does not exist, print NO. Otherwise, print YES in the first line, and then print $n$ lines with $n$ real numbers in each — the inverse matrix. The answer is considered correct if the absolute or relative error of the elements of the inverse matrix is no more than 10^{-6}.

أمثلة