CF36B Fractal

注意这题要加上这个： ``` freopen("input.txt","r",stdin); freopen("output.txt","w",stdout); ```

Ever since Kalevitch, a famous Berland abstractionist, heard of fractals, he made them the main topic of his canvases. Every morning the artist takes a piece of graph paper and starts with making a model of his future canvas. He takes a square as big as $ n×n $ squares and paints some of them black. Then he takes a clean square piece of paper and paints the fractal using the following algorithm: Step 1. The paper is divided into $ n^{2} $ identical squares and some of them are painted black according to the model. Step 2. Every square that remains white is divided into $ n^{2} $ smaller squares and some of them are painted black according to the model. Every following step repeats step 2. Unfortunately, this tiresome work demands too much time from the painting genius. Kalevitch has been dreaming of making the process automatic to move to making 3D or even 4D fractals.

The first line contains integers $ n $ and $ k $ ( $ 2

Output a matrix $ n^{k}×n^{k} $ which is what a picture should look like after $ k $ steps of the algorithm.