1.Ra7 Confining the Black King to the back rank. Why?

1...Kd8
Heading towards the rook. Rooks are vulnerable from attack from the diagonal.

2.Kd2 Kc8 3.Kd3 Kb8 4.Rh7
Running as for away as possible. The Black King will have to take a long walk to catch up again! [If 4.Kd4 Kxa7 Game is drawn due to insufficient material]

4...Kc8 5.Kd4 Kd8 6.Kd5 Ke8 7.Kd6 Kf8
[If 7...Kd8 8.Rh8# Checkmate!]

8.Ke6 Kg8
Attacking the rook again!

9.Ra7 Kf8 10.Rb7
A very important waiting move! Why? [If 10.Kf6 Ke8 running away and increasing the number of moves.]

10...Kg8 11.Kf6 Kh8 12.Kg6
Now the Black king must turn back!

12...Kg8 13.Rb8#
Checkmate! The White King covers the three squares in front and the Rook covers the back rank. As it is the back rank three squares are short. If the Black King is in the middle of the board, he could have got some more options for moving! 1-0

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