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Problem 256
Posted: Sat Sep 19, 2009 7:22 pm
by zwuupeape
Can anyone tell me if these are legal?
Re: Problem 256
Posted: Sat Sep 19, 2009 7:34 pm
by daniel.is.fischer
All illegal per the marked locations.
Re: Problem 256
Posted: Sat Sep 19, 2009 9:10 pm
by zwuupeape
Verify that the following rooms are not tileable:
7x50
7x98
19x200
40x85
40x100
7500x13555
Tileable:
40x83
20x100
100x101
300x600
Re: Problem 256
Posted: Sat Sep 19, 2009 9:18 pm
by daniel.is.fischer
7[times]50 can be tiled, 7[times]98, 19[times]200, too. The other three not.
All four from the second group can indeed be tiled.
Re: Problem 256
Posted: Sat Sep 19, 2009 9:34 pm
by zwuupeape
Wait, a few more:
17x102 - true
17x101 - false
17x999 - false
17x86 - true
17x50 - true
23x436 - true
23x438 - true
23x451 - false
10x900 - true
10x901 - true
Re: Problem 256
Posted: Sat Sep 19, 2009 10:06 pm
by daniel.is.fischer
17x102 - true yes
17x101 - false obviously, odd room size
17x999 - false ditto
17x86 - true yes
17x50 - true yes
23x436 - true yes
23x438 - true yes
23x451 - false odd size
10x900 - true yes
10x901 - true yes
Re: Problem 256
Posted: Sat Sep 19, 2009 10:17 pm
by zwuupeape
daniel.is.fischer wrote:17x102 - true yes
17x101 - false obviously, odd room size
17x999 - false ditto
17x86 - true yes
17x50 - true yes
23x436 - true yes
23x438 - true yes
23x451 - false odd size
10x900 - true yes
10x901 - true yes
% 100 percent sure about 19x200?
I have the feeling that Tatami room is big enough to tile Tokyo
Re: Problem 256
Posted: Sat Sep 19, 2009 10:29 pm
by daniel.is.fischer
zwuupeape wrote:
% 100 percent sure about 19x200?
Yes.
I have the feeling that Tatami room is big enough to tile Tokyo
Depends on the units in which the Tatami are measured.
Re: Problem 256
Posted: Sun Sep 20, 2009 1:53 am
by zwuupeape
T(97263936) = 119
T(91297800) = 101
T(77948640) = 160
T(103423320) = 153
Correct ?
Re: Problem 256
Posted: Sun Sep 20, 2009 10:01 am
by daniel.is.fischer
No, all your T values are a little too large.
Re: Problem 256
Posted: Wed Jan 06, 2010 1:03 pm
by viv_ban
Someone please confirm the following results:
smallest s such that
T(s) = 20 is 30240
T(s) = 40 is 327600
T(s) = 160 is xxxx
T(s) = 180 is xxxx
Thanks.
Re: Problem 256
Posted: Wed Jan 06, 2010 1:09 pm
by hk
T(s)=160 and T(s)=180 confirmed.
But I will delete the values because they are too close to the target.
Please do not post answers so close to the target.