Brain Teasers

[schielrn]

I alwyas leave one left out spot as well. I have tried about 50 different variations and cannot see a pattern that would allow this to work correctly? I tried to search in online because it was bugging me, but could not find the solution. I will keep working on it in my free time though.

 

[DonkeyOte]

So, no, you are not allowed to re-trace or else any path would do.

hence the question

Perhaps ?

Excel Workbook
	A	B	C	D	E	F	G	H	I
1	Start	3	4	5	6	7	8	9	10
2	1	2	17	16	15	14	13	12	11
3	20	19	18	25	26	27	28	29	30
4	21	22	23	24	35	34	33	32	31
5	40	39	38	37	36	47	48	49	50
6	41	42	43	44	45	46	53	52	51
7	60	59	58	57	56	55	54	69	70
8	61	62	63	64	65	66	67	68	End
Sheet5

 

[schielrn]

Isn't the board suppose to be A1:H8?

 

[pgc01]

Good one, Luke!

But no, it must be a regular chessboard, 8x8!

 

[DonkeyOte]

Good one, Luke!

But no, it must be a regular chessboard, 8x8!

ROFL ! I didn't even bother to check* though I confess I did think it rather odd that I'd come up with a "solution" - I don't normally

(*no pun intended)

 

[rs2k]

Good puzzle,

Hi all

Another brain teaser.

In a chess board you remove 2 squares at opposite corners (ex. A1 and H8). Is it possible to enter by one of these corners with a rook and leave by the other corner after passing by all the squares in the board?

Remember that a rook only moves either horizontally or vertically.

Just throwing things out here, but, can this be done? it looks like a variant of 'The lion and the Man' puzzle were each enters by opposite corners and cant' meet.

The crux of this is;

"to enter by one of these corners" & "passing by all the squares"

I've been in work now for just over 3hrs and have jangled my head with this, there's always one bl%$dy square left!!!!

Colin

 

[schielrn]

I've been in work now for just over 3hrs and have jangled my head with this, there's always one bl%$dy square left!!!!

Colin

I have been the same. I was beginning to think the same as you, that this can't be done.

Pedro,

Will you post the link or PM me the link where the answer is, if there is one? I have tried long enough.

 

[Oaktree]

Seems my Gomory (as in Gomory's theorem) hint went nowhere.

Think of it this way: suppose you're removing the white squares in opposite corners.

Then, you're trying to cover the remaining 62 squares by starting on a black square and alternating between black and white squares as your rook moves throughout the board.

The problem is, you're starting with 30 white squares and 32 black squares... so, alternating isn't going to be possible to cover the board. Pedro doomed you from the start

 

[rs2k]

Seems my Gomory (as in Gomory's theorem) hint went nowhere.

That's not true, it went right over my head....!!!!

 

[Scott Huish]

You take a hammer and smash the rook and the pieces cover all of the board.