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1 Bg5+ hxg5 (otherwise white mates faster)
2 Qf7+ Kd6 (Kd8 e7#)
3 Rd1+ Kc6 (or Kc5, Qe7+ and Bd5#)
4 Qf3+ e4 (Kc5, Qd5#)
5 Qxe4+ Kc5
6 Qc4 mate
It is quite easy to see once you realise that you must sac the bishop in order to bring the rook with check.
The human in me and in most would look for the most forcing lines and two moves come to mind 1. Qf7+ nad 1. exd7
1. Qf7+ Kd6 (if ..1 Kd8 2.e7#
Now what to do if
2. Be3 and the simple ..2 Bxa4 covering the d1 square which does not let the white rook in and is what was mean’t by the above post, letting the rook in the game. All other moves like 2.Bg5 still allow ..2 Bza4
The move 1.exd7 allows tempos against the queen with ..1 Rcf8 and then 2. Qg3 or 2. Qg4 ..2 Kxd7 3. Qxg7+ ..3 Kc8 and you soon realize the king moves to the other side of the board and there is no mate in 6.
When the post reads no computers pleae you realize it is not a normal typicalforcing move and after you look at the most forcing moves does one come up with the answer and move posted above 1. Bg5 and this does not give black time to cover the D1 square as per my analysis.
Clearance sacrifice to threaten mate and get a heavy piece the rook in the game.
thats quite nice. In fact 1.Bg5 struck me immediately. However, i was not calculating 4.Qf3+ and I have to come and look what others has to say. I was just looking for 4.Bd5+, then Kc5 would hold as 5.Qe7+ would be parried by Qd6.