The two-rook checkmate (ladder mate)
Two rooks can checkmate a lone king with no help from your own king. One rook cuts the king off along a row, the other gives check on the next row, and they take turns stepping toward the edge like a ladder.
Keep the rooks far from the king, so it cannot attack them. If it gets close, move the threatened rook to the far side of the board on the same row.
Once the king is on the edge row, one rook guards the row next to it and the other checks along the edge: checkmate.
Try it
Two rooks: checkmate in one.
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