use the symmetry of the problem and reduce it. let F, T denotes the two sides of the coin. We use the following system: (x,y) means x row, yth coin counting from the left. WLOG, consider T(3,2), F(4,2), F(4,3), so T(5,3). Now we must have T(4,1) and T(4,4). So we have F(1,1). One of (3,1), (3,3) is F. Let's have F(3,1), so T(3,3). then F(2,2), F(5,5), T(5,1), and F(5,2). Now, what to put on (2,2)? www.ddhw.com
|