Guess the best move!

After Kf1 then guess?

Yes, you find the best move after 17. Kf1. I have seen this game before and its ingenuity. I would rather not spoil it for the rest who are trying to actually work it out.

incorrect try to look ahead a couple moves.

also it is black to move I don't think it's in his best interest to capture his own queen with the white bishop

kb5. This attacks the Queen. If White plays Bxb5, Black's queen is free to take that square and put White in check. If white decides to trade queens, Bxb6, kxa3, then White's bishop is left vulnerable by Black's Knight. White will probably recover, losing tempo, and.... yea. That's my best guess at making the best out of a bad situation.

yay!

Does 1-0 indicate that the game ended because of checkmate, or does it indicate that the player was inclined to resign? 

Anyway, since we have moved on from the previous puzzle, I will show the solution:

If I were White in this position, I would play the following sequence:

1. Ne7+ Kg7 2. Bh6+. Now the f8- rook is a goner, and it is an easily-won position.  

Correct

MWAAHAHAHA! I will attempt to make one that will stump humanity (well, not really...). Black has realized that the position is more or less hopeless. But, he comes with a last-ditch effort to secure a draw. He plays ...Rf3+, sure that the position is a draw. Prove him wrong, and, ultimately, crush his soul!

exf3

No, the resulting position is a stalemate. Maybe my description above the puzzle was not helpful at all, but White can checkmate.  

No other guesses? I guarantee that there is a route to victory for White. I do not want to show the solution. 

The following hints may help you with this puzzle. 

1. The puzzle begins with two crucial pawn moves. You, as the solver, must decide which ones move. 

2. If the g3-pawn vanished from the board, the puzzle would be straightforward. This diagram displays this phenomenon.

3. If the rook can land a check on either the a-file or the h-rank, the game is over. 

4. The king can not escape the checks; it must cleverly maneuver so that the g-pawn disappears. Then, reach a similar position to the above diagram. 

Hopefully, this helps. If there are no responses within 24 hours, I may show the solution, and I will share a puzzle with fewer moves. Yes, it is a mate in 17 moves. 

Here is the solution. I believe it is quite elegant:

Ok yourchess make another one

Okay, here it is. Note that White is in check. For this puzzle, it is satisfactory to reach a position where it is clear that checkmate will be reached eventually: 

is it Qg5!!!! because after Qxg5+ Ka6 Bxa7 and for the grand finale, I'm guessing c7!! I'm not sure if this is correct but I believe this is winning for white.