Problem 256

[zwuupeape]

Can anyone tell me if these are legal?

[daniel.is.fischer]

All illegal per the marked locations.

[zwuupeape]

Verify that the following rooms are not tileable:

7x50
7x98
19x200
40x85
40x100
7500x13555

Tileable:

40x83
20x100
100x101
300x600

[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.

[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

[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

[zwuupeape]

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

[daniel.is.fischer]

% 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.

[zwuupeape]

T(97263936) = 119
T(91297800) = 101
T(77948640) = 160
T(103423320) = 153

Correct ?

[daniel.is.fischer]

No, all your T values are a little too large.

[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.

[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.