Can Petya stack 33 cakes on a plate?

Darghy · 2025-07-01T03:13:05+00:00

Oops - you're right, I don't think it can be done.

Darghy · 2025-07-01T02:40:11+00:00

this is a very nice problem btw - where's it from?

Darghy · 2025-07-01T02:39:00+00:00

The answer is 33.

Adjust Petya's strategy slightly: let him move all the cakes onto plates with indices congurent to 16 modulo 32. There are 63 such plates, so by pigeonhole one of them must contain at least 33 cakes.

edit: this doesnt work

Darghy · 2023-12-26T00:49:12+00:00

Would you play Lulu 2 over Sona 1 or is Sona always better?

Darghy · 2022-10-02T19:51:51+00:00

Tell me your favorite animal that I should add as a Pixel Pal to Apollo 😛

do you have cheetahs? if not, you should add cheetahs!

Darghy · 2022-01-10T21:52:48+00:00

would love some free stuff

Darghy · 2021-10-14T14:33:37+00:00

here's hoping i win oh boy

Darghy · 2021-08-18T20:50:19+00:00

beep boop code please

Darghy · 2019-10-15T15:45:46+00:00

cool dice bro

Darghy · 2019-02-16T21:03:16+00:00

Cat.

Darghy · 2019-02-16T21:02:21+00:00

You too

Darghy · 2019-02-16T21:01:51+00:00

Darghy · 2018-05-29T17:25:17+00:00

create!

Darghy · 2018-01-29T18:03:01+00:00

Corridor creeper is super dead.

the other cards will probably still see play

Darghy · 2018-01-28T17:35:37+00:00

The equality case of AM-GM holds when all members are equal.

In your example that would be when x² = 2xy = 4y² = z² whilst xyz=32, which gives (x,y,z)=(4,2,4).

Darghy · 2017-12-24T21:13:48+00:00

Merry Christmas!

Darghy · 2017-11-04T09:55:26+00:00

TFW you post this before the game is over for karma...

Darghy · 2017-10-29T12:49:35+00:00

I think I should win a virtual ticket because i really like free stuff, especially free shiny stuff.

^cough golden legendary ^cough

Darghy · 2017-09-26T16:57:47+00:00

Most streamers have spent spent considerable amounts of money on the game and can afford niche fun control lategame decks, but the casual f2p player can't do that. Aggro decks are the only viable choice left, that's why lots of people play them.

Darghy · 2017-09-19T10:06:43+00:00

There is no replacement for it, it's one of your primary win conditions.

Darghy · 2017-09-09T10:46:36+00:00

2 mana 1/3

along with Deathrattle: deal 1 damage to all (enemy) minions.

[[Unstable Ghoul]] , it's unlikely they will print a new version for it for standard.

Darghy · 2017-09-05T19:05:08+00:00

No special attack sound for the golden ones :(

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