For those doing this by hand - have fun, but be gentle. http://87.119.183.129/perl/gridsplode.pl Bugs can't be dealt with for at least 48 hours, so if it doesn't work, don't use it. Phil
Nicely done. Thank you. On Apr 17, 2013, at 2:30 PM, Phil Carmody <thefatphil@yahoo.co.uk> wrote:
I've created an entry for this lovely problem in the OEIS: http://oeis.org/A224784. Would people please update it when there are new values (or corrections)? Neil On Wed, Apr 17, 2013 at 4:10 PM, Hans Havermann <gladhobo@teksavvy.com>wrote:
Nicely done. Thank you.
On Apr 17, 2013, at 2:30 PM, Phil Carmody <thefatphil@yahoo.co.uk> wrote:
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-- Dear Friends, I have now retired from AT&T. New coordinates: Neil J. A. Sloane, President, OEIS Foundation 11 South Adelaide Avenue, Highland Park, NJ 08904, USA Phone: 732 828 6098; home page: http://NeilSloane.com Email: njasloane@gmail.com
Phil Carmody> http://87.119.183.129/perl/gridsplode.pl Thanks Phil, useful app! In this app from 3x3 to 7x7, I can see that the registered record for 7x7 is 119319467956. Here is a better 7x7 grid, with 139015458134, using a similar strategy than my 6x6: 1 2 6 18 54 162 162 1 4 12 36 108 486 810 213342341 1066711707 1706738772 72104324924 139015458134 1404 2700 213342336 640027013 3486463028 17151921630 49759201338 8208 4104 140356800 72985536 4232225497 7726494333 24880751139 24624 12312 42107040 25264224 5614272 1871424 320112 110808 36936 8421408 8421408 2807136 935712 615600 184680 36936 If I continue my "snail" strategy on 8x8, I obtain 541048181546137: 1 2 6 18 54 162 486 486 1 4 12 36 108 324 1458 2430 17280729221 86403646107 288012153716 437778473776 1313335421640 1313335452366 4212 8100 17280729216 51842187653 149766319904 875556947396 3940006295178 6566677271892 24624 12312 5760243072 11520486144 271062231376625 91645561810642 21888924401648 10506683887182 73872 36936 3789633600 1970609472 541048181546137 178326013015414 64791307846516 32395629305414 221616 110808 1136890080 682134048 151585344 50528448 16842816 2881008 997272 332424 227378016 227378016 75792672 25264224 8421408 5540400 1662120 332424 Easy to continue it on larger grids of any size, but is this "snail" strategy the best one? If yes, then the game is no more interesting... That's why I hope that somebody will find other paths, producing better scores! Christian.
I revised A224784 and created a new entry (A221866) for the version of the game in the Le Monde video. As always updates and corrections are welcomed. Since the OEIS is now a wiki, you can - and should - make the updates yourself! I didn't quite understand Christian's remark about placing the two initial 1's in the same square. I thought you could place only one number in a square? Or is this what Eric means when he says the original version is ill-defined? Neil On Thu, Apr 18, 2013 at 12:39 PM, Christian Boyer <cboyer@club-internet.fr>wrote:
Phil Carmody> http://87.119.183.129/perl/gridsplode.pl
Thanks Phil, useful app! In this app from 3x3 to 7x7, I can see that the registered record for 7x7 is 119319467956. Here is a better 7x7 grid, with 139015458134, using a similar strategy than my 6x6:
1 2 6 18 54 162 162 1 4 12 36 108 486 810 213342341 1066711707 1706738772 72104324924 139015458134 1404 2700 213342336 640027013 3486463028 17151921630 49759201338 8208 4104 140356800 72985536 4232225497 7726494333 24880751139 24624 12312 42107040 25264224 5614272 1871424 320112 110808 36936 8421408 8421408 2807136 935712 615600 184680 36936
If I continue my "snail" strategy on 8x8, I obtain 541048181546137:
1 2 6 18 54 162 486 486 1 4 12 36 108 324 1458 2430 17280729221 86403646107 288012153716 437778473776 1313335421640 1313335452366 4212 8100 17280729216 51842187653 149766319904 875556947396 3940006295178 6566677271892 24624 12312 5760243072 11520486144 271062231376625 91645561810642 21888924401648 10506683887182 73872 36936 3789633600 1970609472 541048181546137 178326013015414 64791307846516 32395629305414 221616 110808 1136890080 682134048 151585344 50528448 16842816 2881008 997272 332424 227378016 227378016 75792672 25264224 8421408 5540400 1662120 332424
Easy to continue it on larger grids of any size, but is this "snail" strategy the best one? If yes, then the game is no more interesting... That's why I hope that somebody will find other paths, producing better scores!
Christian.
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Neil> I didn't quite understand Christian's remark about placing the two initial 1's in the same square Because your two series seem OK, I am not sure what is unclear for you. A221866, Le Monde's version: place two 1s where you want, and play with sums A224784, more logical version: place one 1 in the first corner, and play with sums The best place for the two 1s in Le Monde's version (for grids bigger than 3x3) is in the corner, and in the neighboring (Hor. or Ver.) cell of this corner. That's why I think that the records for the two versions will be the same for 4x4 and above. Christian. -----Message d'origine----- De : math-fun-bounces@mailman.xmission.com [mailto:math-fun-bounces@mailman.xmission.com] De la part de Neil Sloane Envoyé : jeudi 18 avril 2013 22:18 À : math-fun Objet : Re: [math-fun] A grid with MAX I revised A224784 and created a new entry (A221866) for the version of the game in the Le Monde video. As always updates and corrections are welcomed. Since the OEIS is now a wiki, you can - and should - make the updates yourself! I didn't quite understand Christian's remark about placing the two initial 1's in the same square. I thought you could place only one number in a square? Or is this what Eric means when he says the original version is ill-defined? Neil
Christian, Thank you for the clarification. Now all is clear. I changed the wording in A221866 slightly. Neil On Thu, Apr 18, 2013 at 5:04 PM, Christian Boyer <cboyer@club-internet.fr>wrote:
Neil> I didn't quite understand Christian's remark about placing the two initial 1's in the same square
Because your two series seem OK, I am not sure what is unclear for you. A221866, Le Monde's version: place two 1s where you want, and play with sums A224784, more logical version: place one 1 in the first corner, and play with sums
The best place for the two 1s in Le Monde's version (for grids bigger than 3x3) is in the corner, and in the neighboring (Hor. or Ver.) cell of this corner. That's why I think that the records for the two versions will be the same for 4x4 and above.
Christian.
-----Message d'origine----- De : math-fun-bounces@mailman.xmission.com [mailto:math-fun-bounces@mailman.xmission.com] De la part de Neil Sloane Envoyé : jeudi 18 avril 2013 22:18 À : math-fun Objet : Re: [math-fun] A grid with MAX
I revised A224784 and created a new entry (A221866) for the version of the game in the Le Monde video. As always updates and corrections are welcomed. Since the OEIS is now a wiki, you can - and should - make the updates yourself!
I didn't quite understand Christian's remark about placing the two initial 1's in the same square. I thought you could place only one number in a square? Or is this what Eric means when he says the original version is ill-defined?
Neil
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-- Dear Friends, I have now retired from AT&T. New coordinates: Neil J. A. Sloane, President, OEIS Foundation 11 South Adelaide Avenue, Highland Park, NJ 08904, USA Phone: 732 828 6098; home page: http://NeilSloane.com Email: njasloane@gmail.com
The answer to Le Monde's version is here: http://www.lemonde.fr/sciences/video/2013/04/18/les-defis-mathematiques-du-m... The total of 57, as expected in this version, was reached starting with a first "1" in the upper-left corner, and a second "1" in the upper-right corner of the 3 x 3 grid. Best, É. Propulsé d'un aPhone Le 18 avr. 2013 à 23:06, "Christian Boyer" <cboyer@club-internet.fr> a écrit :
Neil> I didn't quite understand Christian's remark about placing the two initial 1's in the same square
Because your two series seem OK, I am not sure what is unclear for you. A221866, Le Monde's version: place two 1s where you want, and play with sums A224784, more logical version: place one 1 in the first corner, and play with sums
The best place for the two 1s in Le Monde's version (for grids bigger than 3x3) is in the corner, and in the neighboring (Hor. or Ver.) cell of this corner. That's why I think that the records for the two versions will be the same for 4x4 and above.
Christian.
-----Message d'origine----- De : math-fun-bounces@mailman.xmission.com [mailto:math-fun-bounces@mailman.xmission.com] De la part de Neil Sloane Envoyé : jeudi 18 avril 2013 22:18 À : math-fun Objet : Re: [math-fun] A grid with MAX
I revised A224784 and created a new entry (A221866) for the version of the game in the Le Monde video. As always updates and corrections are welcomed. Since the OEIS is now a wiki, you can - and should - make the updates yourself!
I didn't quite understand Christian's remark about placing the two initial 1's in the same square. I thought you could place only one number in a square? Or is this what Eric means when he says the original version is ill-defined?
Neil
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participants (5)
-
Christian Boyer -
Eric Angelini -
Hans Havermann -
Neil Sloane -
Phil Carmody