It is impossible to win,just try

executing this triangulation also requires knowledge of zugzwang but i'll try not to make it more complex than it already is.

so, in the starting position of the drill, imagine if the white king is on f5 and the black king on f7. if it is white's turn in that scenario, he would have to move away, losing the f6 pawn in the process. however, if it is black's turn, he also has to move away and it is easy to see that white will promote wherever black goes with his king (eg, ..kf7-e8, kf5-e6 ke8-f8, f6-f7 kf8-g7, ke6-e7 kg7-h7, and now the cute point is the underpromotion f8R in order to avoid stalemate. and white wins)

another detail is that whenever the white king goes to e6 black has to be able to respond ke8 or else he loses in the same way as the line above.

now the only way black can do all that is if the king is on f8, one step away from both f7 and e8. in the initial position it is on f8 and so white can't win with kf5 or ke6 due to those reasons given above.

then we come to the part where triangulation becomes the key. you should ask yourself, what if in the starting position it is black's move?, what does he play to not lose?

the answer is there isn't a move to not lose. 1..kg8 loses to 2 ke6 and 1..ke8 loses to 2 ke6 as the line above shows.

so now the goal is clear: pass the move over to black. this is done by triangulation.

aside from f5 and e6, white has two other squares available to him to use to wait for black to step on the squares f7 or e8 first and thereby lose, as we have concluded from the above explanation. so white has f4 and e4.

if white goes 1 kf4, then he will threaten to go to either f5 or e5. we know that for black to not lose he has to meet kf5 with kf7 and ke5 with kf8, so from which square can he make both moves? he has two, ke8 or kg8, let's try 1..kg8 first, now white plays 2 ke4 and he still threatens both kf5 and ke5 but black's problem is where does he go to have both kf7 and kf8 available? there is no square and so he loses once he steps onto those squares as shown above.

lastly let's try 1..ke8. so 2 ke4 still threatening both ke5 and kf5 and black has basically the same problem: he has no squares to keep both kf7 and kf8 possible as a reply to white's threats. so white wins.

i hope this makes sense.

i posted the same day i saw the original post and i am the one who's late. unbelievable. either this is smug, obnoxious and a slice of grateful, or just plain smug, obnoxious and sarcastic. either way this is beyond me.

i posted the same day i saw the original post and i am the one who's late. unbelievable. either this is smug, obnoxious and a slice of grateful, or just plain smug, obnoxious and sarcastic. either way this is beyond me.

Proof?You literaly delete it