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 Post subject: First person to solve this wins
PostPosted: Wed Aug 04, 2004 2:52 am 
Onionhead
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Location: Houston
It is solveable, and there is only 1 possible solution i think:
http://www.albinoblacksheep.com/flash/pearl.php


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PostPosted: Wed Aug 04, 2004 11:12 am 
Too Weak
Too Weak
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Joined: Sun Jun 27, 2004 6:16 pm
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Location: Sweden
I tried it a few times...

Not gonna get much into it, I wouldn't be able to sleep at night before I made it...

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 Post subject:
PostPosted: Wed Aug 04, 2004 11:13 am 
Decent Challenge
Decent Challenge
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Joined: Wed May 19, 2004 10:58 am
Posts: 571
It's a mathmetical problem, I've solved it before, but I forgot what was the rule, it's going to take me a while to figure it out again.


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 Post subject:
PostPosted: Wed Aug 04, 2004 1:08 pm 
Onionhead
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PM me if you need the answer, it took me about 12 minutes


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 Post subject:
PostPosted: Wed Aug 04, 2004 1:34 pm 
Too Weak
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Joined: Fri Jul 30, 2004 11:52 pm
Posts: 33
I remember playing this game with four rows of pearls, not three, but the solution method still seems to work.

It is a mathematical problem concerning the total number of pearls remaining in the game, combined with their divison amongst the rows. Without making it too complicated, suffice it to say that the method to win the game is to always pass your opponent a setup that screws them over.

The way to solve the puzzle is to do a little math. What you need to do is reduce the number of pearls on the board to binary form. So for the starting setup of pearls like this:

O O O
O O O O
O O O O O

Their conversion to binary is then written as:

0 1 1 = 3 pearls
1 0 0 = 4 pearls
1 0 1 = 5 pearls

Now in order to be "winning" the game you need to pass your opponent a setup such that the sum of each column, modular 2, is zero.

At the start of the game we have:

0 1 1
1 0 0
1 0 1
------
2 1 2 (mod 2) ===> 0 1 0

So the center column needs to be adjusted. The easiest way to do this is to remove 2 pearls from the top row, resulting in:

0 0 1
1 0 0
1 0 1
------
2 0 2 (mod 2) ===> 0 0 0

Which screws him over. Depending on what the AI does, and how many rows of pearls there are in the game, you simply repeat these steps a few times.

Now you have to use some common sense - at a certain point if you pass the opponent a board sum of "0 0 0" it will give it a win. You need to look for the "clincher" setup, one of which is a chance to pass the opponent a board of two rows of two:

O O
O O

Which, if you have tried the game a few times, the computer will have done to you and fucked you royally. Pass him this and you win.

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 Post subject:
PostPosted: Wed Aug 04, 2004 2:11 pm 
Onionhead
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Joined: Thu May 20, 2004 6:38 pm
Posts: 7560
Location: Houston
correct,
taking two off the top row is the only way to win, and the AI responds the exact same way each time, which leads to your moves being:

2 off the top
3 off the bottom
1 off the top
2 off the bottom

;)


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 Post subject:
PostPosted: Wed Aug 04, 2004 6:24 pm 
Too Weak
Too Weak
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Joined: Fri Jul 30, 2004 11:52 pm
Posts: 33
Yay, more bacon for me!

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Nephrenia
Red Mage: 60 Black Mage: 30

2-Leaf Mandragora Bud Finder Extraordinaire.


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 Post subject:
PostPosted: Wed Aug 04, 2004 11:53 pm 
I;m in cobr a kuy dogo
I;m in cobr a kuy dogo
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Joined: Fri May 14, 2004 8:56 am
Posts: 2400
Lol i did it 1st time. he cheats thou.

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