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A rook creates a "fence" that the enemy king cannot get past. In the diagram on the left, the Black King cannot move up the board because of the rook on a5 which creates an impassable "fence" on the 5th rank. We'll use the other rook to create a fence on the 4th rank. Then we'll alternate rooks going down one rank at a time like climbing down a ladder.
1. Rb4+ Kd3
2. Ra3+ Kc2
Now we can't play Rb2 as we planned, so we'll have to find a safer place for that rook. Let's just go over to the other end of the board where we're save from the king.
3. Rh4 Kb2
4. Rg3! (not h3 which would block our other rook)
Kc2
5. Rh2+ Kd1
6.Rg1 checkmate!
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Of course not ever
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Answer to last problem:
1. Rb1+ Rd1
2. Rh1+ Rf1
3. Rxf1+ Kxf1
4. Rxd1 (White now has an easy win.)
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