Since the previous puzzles were seemingly too easy, lets turn up the heat a bit. This puzzle is more difficult.
2K1b2n/2ppPk1P/R2PpPp1/6p1/1p4p1/1B4P1/3P3B/5R2 w - - 0 1
1.Bg1! cxd62.Bd4 d53.Rd6 e54.Bxd5#
1.Bg1 c52.d3 c43.dxc4 e54.c5#
1.Bg1 c62.Rxc6 dxc63.d7 c54.d8=N#
1.Bg1 c62.Rxc6 dxc63.d7 Bxd7+4.Kxd7 c55.Bxe6#
1.Bg1 c62.Ra2 c53.Rc2 c44.Rxc4 e55.Rc7#
I wanted to get mate in 4 in all variations but I couldn't do it.
1.Bg1 is incorrect.
At last I have found how to get mate in 4 in all variations. I had difficulty with V-4.
1.Rb6! cxd62.d4 d53.Rd6 e54.Bxd5#
1.Rb6! c62.Rxb4 c53.Rc4 e54.Rxc5#
1.Rb6 c52.d3 c43.dxc4 e54.c5#
1.Rb6 cxb62.Bg1! b53.Bf2! Kxf64.Bd4#
Well done! This is an example of a puzzle with the Pickaninny theme where a black pawn makes all four of its possible moves in the solution- 1 square forward, 2 squares forward, or capture to either side. In this case it was the black c-pawn in each of your four variations. When this occurs on the white side, it is called an Albino.