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Strange Puzzle?!

http://en.lichess.org/training/37055

1. H3

but

2. F7 is wrong

it HAS to be

2. G7

WHY???

I'm really puzzled by the point in the puzzles quite honestly. The 'rating' loss for a wrong answer is disproportionate and there are too many dodgy ones.

My bullet rating as I write this is 1833; my puzzles rating is 1281!!!
Well, Kg7 wins, and Kf7 loses.

After Kf7 a8=Q Rxa8 Rxa8, you can't play h2 because white has Rh8 (your king, by moving to f7 instead of g7, no longer controls h8).

If after white plays Rxa8 black tries to correct his mistake by playing Kg7 to cover h8, then white has Kd2, and now Ra1 will stop the h pawn, so white wins.

That puzzle's fine :)
A thread about this puzzle again, #1? LOL! People really seem to not understand it...
#1: "My bullet rating as I write this is 1833; my puzzles rating is 1281!!!"
I don't see a reason for these to be related. My bullet rating is 1277 and my puzzle rating 2234...

#3: "That puzzle's fine :)"
2. f7 is of course wrong.
But what is curious about this puzzle is that not only 2. f7 fails, but also 2. h7, even though that gets the job done as well as 2. g7.
So I would consider the puzzle as broken.
@Toutatis

So... how many training rating points did you lose on this endgame puzzle ?

When I miss a 2400 puzzle I lose very few points (4?)
When I miss a 1900 puzzle I lose perhaps 15 points.
Not pleasant perhaps but seems fair.
#3 I actually meant H7 is considered wrong (sorry, too much gin!) which blocks off the rook just as well as G7.

#5 says it just as I see it.

So, Neverness #4 (LOL) perhaps you can explain it to us? :)

#6 I can't tell you with this particular (broken) puzzle - but I do know that the puzzle ratings seem to be assessed in a manner that doesn't match my own assessments - the losses and gains then seem often to be way out. Of course, I'm probably wrong.
My idea is that the ratings of the puzzles are more or less correct in a theoretical sense, however the reasons for high or low ratings can often be strange.

Example of this:
http://en.lichess.org/training/21777

Mate in 2 with only one - forced - opponent move. Rating 2155.

The bait here is Rc2+, also completely winning the house, taking the knight and leaving white in dire straits.
I'd wager a lot of people fell for it. Does it make the puzzle hard? I don't think so, but some puzzle are just very good at sorting a lot of people out. And when you actually got the correct solution, it's sometimes hard to understand where people went wrong unless you go back and examine possible pitfalls.
Hmm. Actually I got +16 for solving that puzzle. Seems broken that I read it was a mate in 2 and then tried the puzzle.

For the first puzzle Kh7 won. (Evidence? Playing against Stockfish 8 leads to the same line.) However, a subsequent Kh8 was not exactly easy to find. (after Rb5 Rxh7 Rxg5+)

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