# Brainstorm quiz

• 11-07-2001
Magos
Brainstorm quiz
Learned this quiz in class. Imagine that you have unlimited amounts of balls (to the left, right and bottom, NOT top). The goal is to get a ball as high as possible, moving them as you would in solitaire (You pick one ball, move it to an empty spot on the other side of a nearby ball, and remove that ball). In the pictures below, O is balls and O is empty space.

Example of a move:

You have:
OOOOOO

Pick the left ball, move it to the other side of the other ball:
OOOOOO

And remove the ball that you jumped over:
OOOOOO

I'll show the first steps: (red is the ball I'm going to move next time)

Pick a ball from the second row and move it upwards to reach the first level.
OOOOOOOOOO
OOOOOOOOOO
OOOOOOOOOO

OOOOOOOOOO
OOOO
OOOOOO
OOOOOOOOOO
OOOOOOOOOO

Pick a ball as shown in the picture and move it to the empty location on the first row.
OOOOOOOOOO
OOOOOOOOOO
OOOO
OOOOOO <-- You've reached level 1
OOOO
OOOOOO
OOOO
OOOOOO
OOOOOOOOOO
OOOOOOOOOO

Pick the same ball again and move it upwards to reach the second level.
OOOOOOOOOO
OOOOOOOOOO
OOOO
OOOOOO
OOOO
OOOOOO
OOOO
OOOOOO
OOOOOOOOOO
OOOOOOOOOO

OOOOOOOOOO
OOOO
OOOOOO <-- You've reached level 2
OOOOOOOOOO

OOOO
OOOOOO
OOOO
OOOOOO
OOOOOOOOOO
OOOOOOOOOO

And so on...

Question: How high can you get a ball using this method over and over again?
(I'll give you some time to think ;))
• 11-07-2001
Yoshi
Isn't that like Pegged?:o
• 11-08-2001
Magos
Sorry, I don't know what Pegged is... :(