November 2019 - Page 2

bsquared · 2019-11-12, 04:46

I've found 922325356 so far. Finding anything > 929e6 is going to be really hard, at least using my dumb method.

SmartMersenne · 2019-11-12, 10:36

Quote:

Originally Posted by bsquared

I've found 922325356 so far. Finding anything > 929e6 is going to be really hard, at least using my dumb method.

Kudos! I don't think there is a smart method.

SmartMersenne · 2019-11-12, 22:54

Is there a solution, or are we trying to blindly find a solution?

yae9911 · 2019-11-13, 00:46

You really do not have to worry so much, because there are many solutions. If no solutions had been known before the task was published, the "loophole" barrier would have been set lower.

SmartMersenne · 2019-11-13, 01:04

Quote:

Originally Posted by yae9911

You really do not have to worry so much, because there are many solutions. If no solutions had been known before the task was published, the "loophole" barrier would have been set lower.

Somehow, all of us have failed so far to find one of those "many solutions" :(

bsquared · 2019-11-13, 01:41

After running overnight I've found several above the barrier now. Best was a lucky find at 924286698.

SmartMersenne · 2019-11-13, 01:54

Quote:

Originally Posted by bsquared

After running overnight I've found several above the barrier now. Best was a lucky find at 924286698.

Now you deserved the real kudos!

SmartMersenne · 2019-11-13, 03:23

After days of running my best became 921979020

Dieter · 2019-11-13, 09:05

Now I have found a matrix which is no Latin Matrix (same digits in the same line) and has a determinant 924844032, and each digit appears 9 times.

If there is a Latin Matrix with the same determinant - I don‘t know.

Dieter · 2019-11-13, 09:40

Update: 928284672
Unfortunately my code has a bug, which I try to find, but I have checked my results externally before presenting them here and sending them to the puzzlemaster.

axn · 2019-11-13, 11:46

Quote:

Originally Posted by Dieter

If there is a Latin Matrix with the same determinant - I don‘t know.

I believe you (general you) are misinterpreting the puzzle. Sure, the plain wording does suggest that particular interpretation. But I believe the intent is to just avoid latin squares, period, and not determinant values arising from latin squares. Perhaps asking for a clarification is in order?

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2019-11-12, 04:46	#12
bsquared "Ben" Feb 2007 3,371 Posts	I've found 922325356 so far. Finding anything > 929e6 is going to be really hard, at least using my dumb method.

2019-11-12, 22:54	#14
SmartMersenne Sep 2017 2·7² Posts	Is there a solution, or are we trying to blindly find a solution?

2019-11-13, 00:46	#15
yae9911 "Hugo" Jul 2019 Germany 31 Posts	You really do not have to worry so much, because there are many solutions. If no solutions had been known before the task was published, the "loophole" barrier would have been set lower.

2019-11-13, 01:41	#17
bsquared "Ben" Feb 2007 6453₈ Posts	After running overnight I've found several above the barrier now. Best was a lucky find at 924286698.

2019-11-13, 03:23	#19
SmartMersenne Sep 2017 2·7² Posts	After days of running my best became 921979020

2019-11-13, 09:05	#20
Dieter Oct 2017 103 Posts	Now I have found a matrix which is no Latin Matrix (same digits in the same line) and has a determinant 924844032, and each digit appears 9 times. If there is a Latin Matrix with the same determinant - I don‘t know.

2019-11-13, 09:40	#21
Dieter Oct 2017 103 Posts	Update: 928284672 Unfortunately my code has a bug, which I try to find, but I have checked my results externally before presenting them here and sending them to the puzzlemaster.