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More ways to get Braingle...

Diagonal Possibility

Math brain teasers require computations to solve.

 

Puzzle ID:#22792
Fun:*** (2.76)
Difficulty:*** (2.3)
Category:Math
Submitted By:chidam11Ain***!!!
Corrected By:shenqiang

 

 

 



Fill the eight spaces below with numbers from 1 to 8. No number that comes before or after any other number should be placed in an adjacent space, either horizontally, vertically or diagonally.

(For Example 2 should not be next to the number 1 or the number 3)

The arrangement of the space is
* __ __ *
__ __ __ __
* __ __ *

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Comments

umhlobo**
May 10, 2005

Unless I'm mistaken, you could have worded the question better. You seem to have left out the horizontal limitation, so one could have a number of other solutions e.g. 1,2 in top row 5,6,7,8 in middle row and 3,4 in bottom row ... and a bunch of combinations of these where there are no consecutive numbers vertically/diagonally next to each other.
umhlobo**
May 10, 2005

Unless I'm mistaken, you could have worded the question better. You seem to have left out the horizontal limitation, so one could have a number of other solutions e.g. 1,2 in top row 5,6,7,8 in middle row and 3,4 in bottom row ... and a bunch of combinations of these where there are no consecutive numbers vertically/diagonally next to each other.
markmonninAus*
May 10, 2005

Well, he's right, but I assumed the horizontal limitation and go the correct answer.
darthforman*
May 10, 2005

dididaAus*
May 10, 2005

That was a great one!!! I actually got the answer!!
hydrogen
May 14, 2005

You seem to have left out the horizontal but a good one
jarm*
May 14, 2005

i was lost from the start
cmt1214*
May 21, 2005

cool
onlyeeyore**
Jun 06, 2005

The horizontal must have been changed in the edit so no worries there. I got it EASY until I found out that my setup was wrong due to the way it looks in the puzzle (hexagon with one additional space to the right). When I started to look at the answer I saw the setup was different, quickly hid it, and went to solve it again. This time it was fun figuring it out!
Great teaser, though I would recommend some way to get the spaces lined up properly:
^^__ __ ^^
__ __ __ __
^^__ __ ^^
Carats seem to work great!
onlyeeyore**
Jun 06, 2005

I see the dilemma here... the carat idea worked great when I initially typed it! Oh, well!
dimez_00**
Jul 14, 2006

i found another solution

*1 5*
3 8 2 7
*6 4*
chidam11Ain*
Aug 05, 2006

No that is not possible as 1 is diognal to 2.
stil*us*
Oct 27, 2006

Testing, testing- does this transfer from windowed input to fixed form with less distortion? (The O's would be replaced with digits; the X's would be considered nul or blanks.

XOOX
OOOO
XOOX
stil*us*
Oct 27, 2006

Another test - 0's not O's.

X00X
0000
X00X
(user deleted)
Nov 11, 2006

Good one. This probably teaches good strategies of distribution.
(user deleted)
Jan 31, 2007

Here is another solution:

13
5796
24
chidam11Ain*
Feb 01, 2007

That's not it....You have placed 9 instead of 8. If 8 comes it would be beside 7...
mbunap*
Jul 20, 2007

After seeing the difficulty score, I thought this one would take a while, but people must have been overthinking it. It took me three tries over the course of about 3 minutes to get the correct lineup. Fun.
javaguru*us*
Dec 10, 2008

3 minutes? Try 15 seconds. It's immediately obvious that either 1 or 8 has to go in the middle of the hexagon, leaving only one place for the adjacent number. Repeat that for the other central location with the other digit with a single neighbor and the puzzle essentially fills itself out.

How does this make the top three list of "fun" problems or get the difficulty rating it has?
PaladinAus*
Mar 13, 2009

The top row must be either 35 or 53 or 46 or 64

The middle row must be 7182 or 2817

The bottom row must be either 35 or 53 or 46 or 64 (of course it cannot use the same 2 numbers as the top row and the order of the middle row sets the order of the top and bottom rows to keep the 3 from being diagonal to the 2 or the 6 from being diagonal to the 7)

So there are 2 * 2 * 1 = 4 combinations:

53 & 2817 & 64

35 & 7182 & 46

46 & 7182 & 35

64 & 2817 & 53

These 4 combinations are the only possible solutions



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