From a 5min blitz game I played in school, very easy puzzle. It is amazing that this is a draw with so much material from black.

And then what happened...?

he realized he couldn't make progress and offered a draw.

Did you accept? It says a draw was the result, but you could clearly win that one.

ADK

He shouldn't have.  It's a win (check it out on the Nalimov tablebase).

Yeah, I know it's not a draw because White still has a moveable Bishop and there is absolutely NO way he could win so why would he accept the draw?

ADK

@komoliddin07,

6. Kh1 draws, why not?

yes, you are right, but there is stll second pawn

thats some of the worst analysis...

you have to play the best moves for both sides, and you have to consider all options

may be

white can move around his bishop,see the blue one in the move list, I have edited it

yeah, black wins

The initial position is a win for black.

I would recommend to:

* leave the second pawn back on h6. One can advance this pawn to h5, but DO NOT advance this pawn to h4 anytime soon. There are positions which are a draw with rook vs bishop and a pawn on h4.

* play ...Kg4, ...h2 (Bxh2) and ...Kh3

* drive the king out of the corner with a maneuver such as

            ...Rh2+,

Kg1          R_attacks_bishop,

Bmoves     R_gives_check_on_first_rank.

this will black allow to make decisive progress and win this endgame.

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Note that interestingly, there are positions with R+pawn vs bishop which are a draw if the pawn is an a, c, f or h-pawn, if this pawn is too far advanced and if the bishop has "the wrong colour".

of course :)

thank you CM ilmago :)

Sorry, my first recommendation on how to make progress here gave a continuation that is a somewhat longer way to win than necessary here.

There is even a winning method with the king still in the corner, which is faster than what I had first been thinking of:

(It requires quite a bit of subtle maneuvering along the way)

yes either Rc2#, or if bishop take the pawn then in couple moves black wins

here's the winning line

in the real game, black flagged so it was a draw.