Darius wrote on 03/04/11 at 05:40:55:actually, I'm confused by the description - you say in move 3 Black has a defensive try, but isn't move 3 White's?
Usually in chess, when counting moves, a move from White and subsequent move by Black are together counted as one move. For example, when it is said that a game lasted 30 moves, there were 30 moves from White and 30 (or 29) from Black. So when I say "Black ... on move 3", I mean "on Black's 3rd move".
Basically, the solution looks like this:
| 1. | Rh7-c7 | Rc8-b8 |
| 2. | ...! | ... |
| 3. | ... | ...! |
| 4. | ...!! | ... |
| 5. | ... | ... |
| 6. | ...! | ... |
| 7. | ... | ... |
| 8. | ... | |
The exclamation marks indicate good / hard-to-see moves.
In addition, there are variations: some alternative moves for Black are shown to be insufficient as well, and some alternatives for White are shown to be not winning.
I should note that after White's 6th move, the win is already pretty evident. Black's 6th and 7th move are objectively speaking not best, but do require White to play the only move (but they're quite trivial).