Nice loops for elementary level players - the x-cycle

Advanced methods and approaches for solving Sudoku puzzles

Postby ronk » Sun Mar 05, 2006 10:51 pm

aeb wrote:(1,6)2 is ruled out as follows:
If (1,6)2 then (456,6)468 and (789,5)2478, but four digits cannot be in three cells.

But if (1,6)2 then (123,5)368 and (789,5)247 ... so I have doubts that your elimination is valid.

(123,5)2368 and (789,5)2478 are doubly-weakly-linked ALSs and share the 2 and the 8. We just don't know which set will hold which. But we do know neither set must hold both ... no matter what happens at (1,6).

Ron
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Postby aeb » Sun Mar 05, 2006 11:47 pm

ronk wrote:
aeb wrote:(1,6)2 is ruled out as follows:
If (1,6)2 then (456,6)468 and (789,5)2478, but four digits cannot be in three cells.

But if (1,6)2 then (123,5)368 and (789,5)247 ... so I have doubts that your elimination is valid.

Shame on you. Think about (456,6)468 and where the 8 goes in box 8.
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Postby ronk » Mon Mar 06, 2006 1:22 am

aeb wrote:Shame on you. Think about (456,6)468 and where the 8 goes in box 8.

I stand 1/2 corrected.:) Think about it, you've got the correct result, but the wrong reason.

Ron
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Postby aeb » Mon Mar 06, 2006 1:45 am

ronk wrote:
aeb wrote:Shame on you. Think about (456,6)468 and where the 8 goes in box 8.

I stand 1/2 corrected.:) Think about it, you've got the correct result, but the wrong reason.
Ron

More shame on you. At least you understand now. Exercise: write this as a nice loop.
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Postby ronk » Mon Mar 06, 2006 1:56 am

aeb wrote:More shame on you. At least you understand now. Exercise: write this as a nice loop.

After tacky comments like that, I'll be sure not to post to you again. Please return the courtesy.

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Nice loops for elementary level players - the x-cycle

Postby flip » Mon Mar 06, 2006 5:28 pm

Jeff wrote:BTW, this is no ordinary grid. You might like to solve it from the beginning:
Code: Select all
 *-----------*
 |1.8|4..|5..|
 |...|..7|..2|
 |...|...|...|
 |---+---+---|
 |.2.|.9.|..7|
 |.6.|.5.|.89|
 |9..|.1.|.4.|
 |---+---+---|
 |...|...|...|
 |5..|6..|...|
 |..4|..3|9.8|
 *-----------*

I am curious, my counts are 10 simple nice loops, 7 ALS and 1 unique rectangle. Do you find anything more exotic? By itself, I admit that this is definitely not ordinary.
Thanks, flip
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Re: Nice loops for elementary level players - the x-cycle

Postby Jeff » Mon Mar 06, 2006 6:25 pm

flip wrote:I am curious, my counts are 10 simple nice loops, 7 ALS and 1 unique rectangle. Do you find anything more exotic? By itself, I admit that this is definitely not ordinary.

Hi Flip, I am quite surprised you were able to find so many simple nice loops in this grid; perhaps after a few ALSs. I haven't completely solved this one yet. Would you like to open a new thread and post your full solution for us?:D

Thanks in anticipation.
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Postby ravel » Mon Mar 06, 2006 8:22 pm

aeb wrote:My solution is not terribly complicated. The most interesting step occurs at this point:

What does "not terribly complicated" mean for you ? The elimination of 8 in r7c4 and 2 in r1c6 (the explantion was a riddle) were not the hardest part for me. Is the rest of your solution also that easy?
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Postby aeb » Mon Mar 06, 2006 11:00 pm

ravel wrote:The elimination of 8 in r7c4 and 2 in r1c6 (the explantion was a riddle) were not the hardest part for me. Is the rest of your solution also that easy?

Yes, but I threw away the piece of paper. If there is a stage where you do not know what to do next I can probably give a possible next step. There were maybe a dozen steps, none very difficult.
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Re: Nice loops for elementary level players - the x-cycle

Postby flip » Tue Mar 07, 2006 4:42 pm

Jeff wrote:I am quite surprised you were able to find so many simple nice loops in this grid; perhaps after a few ALSs. I haven't completely solved this one yet. Would you like to open a new thread and post your full solution for us?

Done, try here http://forum.enjoysudoku.com/viewtopic.php?t=3417
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