public class Matrix
{
	private int[][] arr;
	private int n;
	
	public Matrix(int n)
	{
		this.n = n;
		this.arr = new int[n][n];
	}
	
	public Matrix(int[][] arr)
	{
		this.arr = arr;
		this.n = arr.length;
	}
	
	public Matrix assign(Matrix a)
	{
		Matrix b = new Matrix(a.getN());
		for (int i = 0; i<n; i++)
		{
			for (int j = 0; j<n; j++)
			{
				b.arr[i][j] = a.arr[i][j];
			}
		}
		return b;
		
	}
	
	 public Matrix plus(Matrix b)
	 {
	        Matrix a = this;
	        Matrix c = new Matrix(a.getN());
	        for (int i = 0; i < a.getN(); i++)
	        {
	            for (int j = 0; j < a.getN(); j++)
	            {
	            	if ((a.arr[i][j] == 1) || (b.arr[i][j] == 1))
	            		c.arr[i][j] = 1;
	            	else
	            		c.arr[i][j] = 0;
	        
	                //c.arr[i][j] = a.arr[i][j] + b.arr[i][j];
	            }
	        }
	        return c;
	    }

	 public Matrix mul(Matrix a, Matrix b)
	 {
	        Matrix c = new Matrix(a.getN());
	        for (int i = 0; i < a.getN(); i++)
	        {
	            for (int j = 0; j < a.getN(); j++)
	            {
	                for (int k = 0; k < a.getN(); k++)
	                {
	                    c.arr[i][j] = (a.arr[i][k] * b.arr[k][j]);
	                    
	                }
	            }
	        }
	        return c;
	    }
	 
	 public Matrix path(Matrix a)
	 {
		 Matrix p = this;
		 Matrix temp, mat;
		 temp = new Matrix(a.getN());
		 mat = new Matrix(a.getN());
		 
		 temp.assign(a);
		 p.assign(a);
		 
		 for (int i = 0; i<a.getN()-1; i++)
		 {
			 mat.mul(temp, a);
			 p.plus(mat);
			 mat.assign(temp);
		 }
		 
		 return p;
		 
		 
	 }
	 

	public int[][] getArr() {
		return arr;
	}

	public void setArr(int[][] arr) {
		this.arr = arr;
	}

	public int getN() {
		return n;
	}

	public void setN(int n) {
		this.n = n;
	}
}