2025/11/29 DPA: "Long Distance Relationships"
White to move:
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Black's King is in a corner: a7 is covered by the Bishop [doesn't matter that the Bishop is pinned].
1. Rg8 would be checkmate but the Queen covers that square.
But I see a tactic along the h1-a8 diagonal: 1. Rg8+ Qxg8. 2. Bxb7+ Kxb7. 3. Qxa6+ Kc7 and there are no checks on dark squares [the Bishop can't move to play 4. Bb6+].
Oh, but 4. Qb6+ Kd7. 5. Ra7+ Ke6 and Black is getting away.
Rearrange the move order: 1. Qxa6+ bxa6. 2. Rg8+ Kb7. 3. Bxd5+ Kc7 but how to continue?
1. Qxa6+ bxa6 2. Rxa6+ Kb7
1. Rg8+ Qxg8. 2. Qxa6+ Kb8. 3. Qxb7#.
Wait: 3. Qxb7+ is met with 3. ... Rxb7.
3. Qa8+ Kc7. 4. Qxg8 only evens out the material gap.
Don't forget White has the LSB on h1, hitting b7 and c6.
Oh, and Qa7+ is out as the b5 Knight guards that square.
1. Rg8+ Qxg8. 2. Qxa6 Kb8. 3. Qa8+ Kc7. 4. Qxb7+ [protected by the remote Bishop] Kd8. 5. Ra8#.
That was it:
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A bit tricky, as I went down several false paths and even down the correct one but then didn't visualize correctly.
The keys were:
- Recognizing the potential of the LSB hiding in the corner [no RBBS here]
- Getting the move order correct
- Seeing, but discarding, the Queen sac as too slow as the Black Queen is still on d5, blocking the LSB
- Being aware of the remote Rook on h7, preventing 3. Qxb7
- Being able to visualize 4. Qxb7+, supported by the Bishop
- The criticality of the d6 pawn, blocking a key dark escape square [White has only limited control over the dark squares]
1. Rg8+ simultaneously delivers check and encourages the Queen to capture [Black can block with Bishop and/or Rook but those are pointless], which frees up the LSB along the long diagonal. Now the b pawn is pinned.
2. Qxa6+ exploits the pinned pawn
3. Qa8+ forces the King to c7
4. Qxb7+ ignores the hanging Queen because White calculates checkmate
5. Ra8#; traditional Ladder Mate

I also made a curious error: I saw White's LSB in order to think 3. Qxb7 would be checkmate [it wasn't due to the Black Rook on h7] but I did not initially see it when the King was on c7 and White needed to play 4. Qxb7+. I had to recalculate before "seeing" it.
If one solves move-by-move, if one got the Rook sac, everything else flows fairly naturally.