Find a grammar for each of the following languages. Provide brief explanations on how you came up with the solution. {b^n a | n = 0, 1, 2,...} {a^n bc^n | n = 0, 1, 2,...} {a^m bc^n | n = 0, 1, 2,... and m = 0, 1, 2,...} {a^m b^n | n = 1, 2,... and m = 0, 1, 2,...}