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The devilish problem

I found this problem on the internet.
Does anyone know how to solve?

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"This is one of the most difficult problems to solve. It's not a mere mate problem at a certain number of bids where the moves are forced. It's not a problem where Black or White play and win. It is a problem of retrograde analysis published in 1995 in the magazine Europe Echecs, by Eric Angelini, which at first may seem simple, but with a little thought you realize that it's extremely satanic. There is no other definition.

https://imgur.com/AjtaQ5m

Imagine that during a chess tournament you approach a table and in that moment the White player has just placed his King in square e5. You see exactly the position that is in the diagram above, with the black pawn going for promotion in square g1 at the top of the diagram.

PROBLEM: WHERE WAS THE WHITE KING BEFORE GOING SQUARE e5?

Or, in other words, from which square did White King come out before moving to square e5? At first it may seem like something without a solution, but believe me, there really is a solution! There was a previous game situation that caused the white King to move from the square he was in to square e5. Can you decipher?

Think, reflect, challenge yourself and try to unravel the mystery. Don't look for the solution through engines or internet. Take the challenge and show yourself your capacity. Or surrender."
OK, I'm stumped. I've spent a solid five minutes on this and see no possible solution. Every possible square the K could have moved from is controlled by at least two pieces, with one exception: the square currently occupied by the R. If the description of the puzzle is correct, the K made the last move, so there's no way it could have come from that square.

I give up. Where can we find the solution?
It's not impossible!
Remember this is an endgame, there were more pieces on the board before reaching this position.
I've got no idea, can't be the 4th row, and the other squares are controlled by 2 pieces.

I'm going to guess g5, white resigned and moved his king to the centre of the board.
If the solution involves another piece or pieces on immediately previous moves, it is not so hard.
Otherwise I reckon it is impossible.
Also, none of Black's pieces were the result of a promotion because they aren't located on the 8th rank, so that can't be part of the solution. Again, I'm stumped.

If it turns out the OP has set up the puzzle wrong, I will not be amused.
This one is great because it forces you to think and engines are of no value to assist in this type of puzzle.

The trick is not focus what is left on the board but what used to be in last few moves that allows a king to enter into that position legally. In other words, specific pieces used to be on the board that are no longer there that allowed the white king to enter that square surrounded by blacks attacking pieces. The position presented is correctly given.
I gave up and searched online. Yes, the puzzle is accurate. I think I could've looked at this for hours and not figured that out. Ugh. "Devilish" is right.
As explained by gsp0113, each square around the king is attacked by at least 2 pieces, with the exception of the square occupied by the rook. but the square occupied by the rook can not be a solution because any previous rook position is already attacking its current square, so the king can not come from there. For the previous move the king had to be protected from 2 attacks and to be protected from 2 attacks...it takes 2 pieces. It remains to find a move where 2 pieces each protected the king from an attack. Reading carefully the statement of the problem I found it.

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