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Posts posted by Barcallica


Spoiler
My band of fourteen cultivates  No 14, RMCF defensive midfielder Casemiro
Roses pink and white  RMCF away jersey color
The oddly even adulates  Some say he is the best defensive mid in the world
When not dispensing slight  But he obviously makes mistakes
Woven tight, mayhaps invoke 
Serendipity  goal chance coming from well organized play?
Taken up by flame we stoke  RMA fans are the most demanding in the world
In halo fittingly  RMA logo?doubt that it is the answer plas looking for

What came prior to the chicken?
mc
^{2}=e > mc^{2}+g^{2}=e+gg=egg 
k=1 m=2 smallest 11.
Now to prove your answer is the smallest.
Last digit of result always is 1. We should prove it cannot be 1.
36^{k }= 5^{m} +1, left side is dividable by 4. Right side is not.

it does not need to be natural, only k and M have to.
k=1 m=infinite (though infinite is not real number)

k=1 m=2 smallest 11.

Among all the numbers representable as 36^{k}  5^{m} (k and m are natural numbers) find the smallest.Prove that it is really the smallest.
You mean smallest natural?

Suppose you want to find a way of distributing plates such that no one gets their own dish and there is no way of rotating the table to give two people their correct dishes.
Draw a logic grid of people at the restaurant along the horizontal axis in the order in which they're sitting around the ngon, and whose dish they received on the vertical axis. In the figure below, if Joe had Sam's dish placed in front of him, you would fill in the green square. If you were to rotate the table, that could be represented by shifting the entire grid down (with any cells that move off the bottom of the grid wrapping back around to the top).
Since no one received their own dish, you can X out all the cells along the diagonal  they wouldn't be allowed in an initial distribution of dishes.
Suppose Joe did receive Sam's dish. Then consider all the cells along that diagonal through the green cell running parallel to the main diagonal (the cells representing Joe getting Sam's dish, Sue getting Al's dish, Amy getting Joe's dish, etc.) Rotating the table to give Joe his dish would be shifting the entire logic grid down by two cells, so if any other cells along that diagonal had been filled, that rotation would make two dishes fall on the main diagonal so two people would get their correct dish. So if person X gets dish Y, you can't use any other cells along the diagonal through (X, Y) parallel to the main diagonal.
There are n diagonals parallel to the main diagonal (wrapping around the edges of the grid), and we crossed out the main diagonal at the outset because no one started out with their own dish, so there are (n minus 1) diagonals on which to place n dishes, which of course can't be done.
I was following the topic to see the solution to this seemingly simple but very interesting problem.
And very nice solution by plasmid. Even school kids could understand without any trouble.

Prove for 5 squares and 4x5 rectangle, and multiply by 5. Will it work?

101054 > beakers
101000 > initial state
10550
10514
10910
6950
2954
7904
7454
10424
10820
6824
61022 >finish 11 moves

I never try these riddles due to the language /and culture/ incompetency.
Could it be drug tablet. I am not sure if I understand the sentences accurately.

It seems that the task is to encode a day and time with ace10 in one of four suits.
That's 40 possibilities. But 7x12 has 84 possibilities. More info is needed.
Something akin to timing of the display of the cards must come into play.
We could place the card facing front or back, so we now have 80 possibilities. 4 to go. (3 if we can choose not to place any card)

Monday prisoner goes first put his card and then tuesday etc... They need to identify only 12 hours with 40 cards.

Let's assume there were only left column and top row. One to remove last pawn is winner because he will be second player of m1, n1 both side even board.
In this new game, 1st player also has the edge. He first takes corner pawn and make it 2 separate line, next he maintains the number of pawns on those lines same.

This is incorrect.If at least one of m or n is odd, player 1 wins. First he removes middle line, then do actions symmetrical to player 2's actions with the removed line.
Consider 3*3 for example. After player 1 removes middle line, player 2 removes some line perpendicular to line just removed, leaving player 1 with 2*2.
This is correct.if m and n both even, player 2 wins. Every move player 1 make, player 2 make symmetrical move with center point.
I see. Then strategy would be to make the grid even sided. if m odd and n is even, player 1 can first take one row from m and wins. if both are even he obviously can't take entire row. Maybe take center pawn and do symmetrically?

Order of event:
1. the death sentence
2. warden's clemency announcement and conditions (OP)
3. plan agreement
4. random schedules of execution  what day is it? Monday?
5. card selecting
6. wearing of hats
7. writing the guess list
8. escaping or hanging
(the warden would make the release look like an escape)

If at least one of m or n is odd, player 1 wins. First he removes middle line, then do actions symmetrical to player 2's actions with the removed line.
if m and n both even, player 2 wins. Every move player 1 make, player 2 make symmetrical move with center point.

My simple mind tells
Probability=1/3. Because out of all triangle there is, third of them are obtuse.

Thank you Ysan. What a game!


Doctor Fate: Ysan
Roster:
1) Phil1882
2) Nana77  voting for Barc
3) bonanova
8) plasmid  voting for Nana
12) Barca  voting for Nana
4) tolecnal  DEAD [Martian Manhunter] lynched
5) flamebirde  DEAD [Hawkgirl] killed by Supervillains
6) onetruth  DEAD [?] killed by Supervillains
7) dee_tot  DEAD [?] killed by Supervillains
9) TwoaDay  DEAD [Zatanna] lynched
10) Kikacat123  DEAD [?] killed by Amazo
11) Araver  DEAD [Black Canary] lynchedNANA MUST DIE!!!

@Barca so you are saying you're certain plas is Indie (edit) now?
Highly likely.

I need to learn vote manips.
Vote manip can redirect your vote.

Then why do you call Nana a known baddie?
You know how many times I said she was indy? And she didn't make a slightest effort to deny that.
Now why would she do that if she really was an indy, or goodie.

You should vote for Plas.
Nobody will die. The day will be a wash.
Can you prove that Plas is baddie not you?
Decomposing a composition function
in New Logic/Math Puzzles
Posted
f(x)=(x3)^2