Unbelievable to me

sameez1 I am waiting the judgment on my conclusion to the original puzzle regarding the missing piece .

Kindly quench my thirst ... so i can tackle the missing white king puzzle in concordance.

I'll take the bet with the millionaire, does any one mind if i present my argument... sameez1 ....do you mind ?

The only place the white King can be is with his queen having a beach day on his private island beyond the edges of this board with a bunch of friends smoking Mayan Sicars....happy to finish the struggle.  

This is where you are going after you loose the bet

OK ... bet accepted , lets go:

1. Possible scenarios are :
   1. No king is checked.
   2. Both kings are checked.
   3. Only bk is checked.
   4. Only wk is checked.
2. Process of elimination:
   1. case " no king is checked" :As bk is already checked then the only way to prevent the bk from being checked by adding only wk is to place the wk at b3 or c2:
      1. If wk is placed at b3 , how come it was double checked by a bishop and a rock at the same time ? .... that must mean that wk was not checked before....how is that possible as the rock could not have blocked the check by the bishop nor could the bishop have the blocked the check by the rock , then what was the wk doing there when it was checked by either of them at the first time....hence not possible .
      2. wk at c2 .... not possible as king cannot be checked by a king. so no king is checked is not possible.
   2. case " both kings are checked " : not possible in chess as no move is allowed if is causes own king to move into check or move into a checked location....not possible.
   3. Case" only bk is checked" : The only way is by the bishop is moving from c2 or b3 , than the bk was already in check !!! so way did the bk stay put and not move and maintained in check , not legal move .... then how is that possible?  where did the bishop come from....it did not jump over the rock ...not exactly !!!!   or suddenly gut promoted to a bishop ...also not likely !!!! Then could it have come from the edge of the board ? then way not bring the queen also? ....I suppose it was transported by the Enterprise space ship.....so the situation is also not possible.....back to the last case.
   4. Case" only wk is checked": There is no position for the wk to be in check without bk being in check except b3 , again back to case 1 ....also proven not to be possible .
3. Since all cases are proven to be impossible then no possible scenario that meets this situation ....hence case proven to be not solvable.
4. Where is the millionaire?
5. My wife remains home...!!!!

QED

   @ Hajafar You were betting  the millionare that it is solvable the millionare thinks all the same things that you wrote. LOL I agree with all the things you have mentioned but unless Arisktotle and others( I trust them) are playing a dirty trick on us this is solvable.If you ask him I think he will give you the answer....This is one of the things that draw me to these puzzles you swear its impossible then when you see the answer you go of course why didn't i think of it.

That is true , we will wait .but what about my attempt of the missing piece ? is it correct ?

If it were correct and complete, there would be no solution. But there is a solution, therefore it is not correct or incomplete.

It is possible to place a king some where on the board that would make this legal , but it would not be possible to reach that situation by real legitimate legal moves.....hence the situation may be possible as only a puzzle , but the moves before that situation will not be legal...

If the moves before are not necessarily legal OH ....then that's another soup.

The definition of legal includes that the history must be legal.

I'll give the square to put the king on in white text but without the explanation. Still a challenge to figure out why!

The wK must be placed on, in white text: [ c3 ]

@ Hajafar there is another one of these posted under more puzzles called A COOL UNORTHODOX PUZZLE take a quick look to see how impossible to get in that position then look at the diagram of the solution.I think seeing  some of these will help unlock the mental block.That is what I am going to do.

Done.... very interesting .... will consider a lost or removed piece.

@ Hajafar look at the thread under more puzzles "A puzzle for sameez1" I think you will be able to figure the complete solution from that.It is great.

King on c3, right?

Right!

king on c3 no problem but where was the king before c3 ?

was the king b3 then how come double check ?

or was the king on c2 ....king check king ?

.... the king could be any where ..but is it legal ?

Need to see what  "A puzzle for sameez1" has installed for me .

I do apologize for not being an expert in chess puzzles.....Yet  ....new types of brain teaser for an old player....I need to do a lot of puzzle practice ........there is a solution !!!!

I obtained the solution for now and it was not mine so I have no right to claim it .... sorry for the Millionaire .... I will have to apologize rather than ship my wine ( statically changed )  via DHL.

As promised, I'll attempt to extend this thread by presenting some earlier retrograde analysis puzzles of my own. I had not intended to wait so long to begin posting them here, but it took several days for me to get around to digging up my personal archive of self-composed problems, and then another few days for me to figure out how I could live with the embarrassment of revealing my (mostly pathetic) compositions to the rest of the world. 

I eventually decided I would only share my best puzzle from each calendar year (the archive dates back to 2011, when I composed my first retro-analytical problem), which will show the gradual progression (or lack thereof! ) resulting from additional experience.

So I'll start things off with the best I've got from 2011. This one is a "two-parter"... and unfortunately, it's also insultingly easy.   Nevertheless, it's no easier than any of my others from that year, and there is still a modicum of interest to be found in the variety of cute tries and refutations.

1.)

2.)

Nice problems and a good matching pair. Note that the type of stipulation asking for the last "n" moves is quite common in the retro-analytical domain!

Addendum: Just noticed that in the 2nd problem only the last black move is determined (and not fully); bit of a pity. May be you have a different solution in mind.

Dang - my solution from 6 years ago was:

But looking at it now, I see the more direct route: