The complete directed weighted graph is given with the weighted matrix. Construct a matrix of shortest paths between its vertices. It is guaranteed that the graph does not contain cycles of negative weight. \InputFile The first line contains the number of vertices $n~(1 \le n \le 100)$ in a graph. Each of the next $n$ lines contains $n$ numbers and describes the weighted matrix (the $j$-th number in the $i$-th row gives the weight of the edge from vertex $i$ to vertex $j$). All the numbers by the absolute value do not exceed $100$. The numbers on the main diagonal are always zero. \OutputFile Print $n$ rows with $n$ numbers --- the matrix of shortest distances between pairs of vertices. The $j$-th number of the $i$-th row must be equal to the weight of the shortest path from vertex $i$ to vertex $j$. \includegraphics{https://static.e-olymp.com/content/73/733bc416a8faf6a8381b45e0464c6c1a7ab53aff.gif}