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King + Rook vs King: The Full Method
One rook can't mate alone — this is a TEAM technique:
1. The rook cuts the king off behind a fence (rank or file) 2. YOUR king walks up until the kings face off 3. When the kings stand in opposition, the rook checks — pushing the king back a rank 4. Repeat until the edge; the final check is mate
If the king attacks your rook, slide it to the far side of the board — the fence works at any distance.