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Chess solitaire: The King's longest walk

Puzzling Asked on January 28, 2021

Challenge: maximize the number of moves white needs for its king to reach a square of your choosing, adhering to the following rules:

  • Black does not move
  • Like normal: The king may not be in a position where it’s in check (after a white move, it is allowed at the start being in check)
  • The starting pieces do not exceed the normal starting material

EDIT Extra rule: The black king cannot be attacked. Reasoning: attacking the black king with e.g. a pawn would mean black ‘looses’ and thus the white king will not reach its destination. I realize that this is a bit doubtful since I allow a board without a black king, but it seems most reasonable to me to treat the king like this if he is on the board.

Note: the starting pieces may be placed anywhere. It does not have to be a valid chess position; even the black king may be missing.

Clarification: This means e.g. that the two bishops may cover the same color tiles, and pawns may be on the first line. On the other hand, promoted pawns are not starting pieces, and pawns on the 8th row are excluded in line with this. Pawns can be promoted during play.

Example: A lone white king on a1 will need 7 moves to reach a8; add a black rook on the h-row and it will take 14 moves.

6 Answers

This position with target square b7 requires 152 moves.

The position is an adaptation of Rewan Demontay's adaptation of Branko Koludrovic, Cornel Pacura & Arno Tüngler's problem, using also a black pawn on h8 as suggested by Retudin. I have only added a black pawn on a8 and changed the white king's target square from h2.

Example white moves:

This can be relayed here on Chess Meta.

Although not computer-verified, this position and target square give what I believe is the best improvement to Rewan Demontay's latest position when modified only by adding still-available permissible material and/or changing the target square.

Correct answer by Rick Shepherd on January 28, 2021

I think I've got 25 steps - it's not brilliant but might be something to start with:

My setup looks like this:

White has only one piece (king) which starts on a1 (blue). The goal is to reach h1 (green).

I made an error with the image in that the knight on d8 should be on b8 and the pawn on e3 should be removed completely

The least amount of steps to get there appears to be:

Answered by William Pennanti on January 28, 2021

This position:

requires the following 40 moves to move the king from a1 to b7:

As a bonus, the White king is alone (fits the 'solitaire' theme'), the position is legal, and it doesn't use promoted pieces. The pawn on a5 and the bishop on h7 aren't even necessary, so there's probably room for some optimization.

Answered by Glorfindel on January 28, 2021

First solution - 50 moves
Second solution - 59 moves

Current solution - 66 moves (beaten by Retudin - 70 moves and Rewan Demontay - 139 moves)

Moves:

Answered by Sleafar on January 28, 2021

Stealing ideas from Sleafar's first solution, I got to 62 moves. So hopefully someone can better that with the magic 64 or more.
EDIT: Since 62 is beaten by Sleafar, I'll up my score to 70: Earlier I failed to realize a8 could just be a pawn; freeing up a bishop

Answered by Retudin on January 28, 2021

Addendum #2: With @Retudin's suggestion of placing an additional Black pawn on the bank tank, to the 129-mover, and my idea of moving around a few pieces, we have here a new record of 135 moves, with the king starting in check. The solution is still inherently the same, so there is no need to put it in.

Further Edit: Since there is no need for a unique solution, a further small change presents for 139 moves, with the king in check.

!> enter image description here

Addendum 8 Hours Later: Seeing as the OP agrees with the presented concept, but not the use of promoted material as per requirement #3, I shall provide the record without the use of them.

As it currently stands, again as of writing, the current length record for this task, however, without promoted pieces in a legal position, is a still astounding 129 moves.

Here is another direct link to it once more. This one is also verified to have one possible solution by a camera.

Branko Koludrovic, Cornel Pacura,, & Arno Tüngler, 496 mpk-Blätter 02/2012, 2. spezielle ehrende Erwähnung, Informalturnier 2012/13 Stipulation (The goal is to reach h2): ser-Zh2 in 129

Solution:

Again, since this is a legal position, and you allow for illegal ones, this is but a proven lower bound!


I have an answer that shall blow every other attempt here out of the water: 208 moves!

In essence, your requirements fulfill a genre of chess composition known as seriesmovers, which are problems in which only one side moves, with some exceptions on the very last move, and they can't be in check, minus the starting position, and cannot give a check, except on the last move in some of them.

A search of the Die Schwalbe Chess Problem Database reveals that the current record length, as of writing, to move a king to a designated square in a seriesmover in a legal position with promoted pieces, is 208 moves long.

Here is a direct link to it: moves there are in German notation. The nice thing is that this is a computer verified composition, meaning that there truly is only one possible solution,

The stipulation "ser-Ze3 in 208 moves" means this: The "ser" is short for seriesmover, the "-z" part is the accepted notation for problems in which the goal is for one side to reach a certain square, and, lastly, "e3" is the chosen target square.

Arno Tüngler, T140 ChessProblems.ca 13/05/2013, 1. Preis Stipulatiom: ser-Ze3 in 208

Lastly, here is the spoilered solution, but in English notation:

Now, since this is a legal position, and you allow for illegal ones, this is merely a proven lower bound!

Answered by Rewan Demontay on January 28, 2021

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