How to divide a black and white pearl necklace Puzzle!?!? - colored pearl necklaces
Here you will find the solution to this problem steal: Two thieves valuable necklace in black and white. It is an even number of black and white beads in the chain. The pearls are evenly distributed, but are not necessarily changing colors, or even symmetrical.
Enter a convincing argument that no matter what the necklace looks like, you can always cut into two parts, each with half pearls and black half white.
Thursday, January 14, 2010
Colored Pearl Necklaces How To Divide A Black And White Pearl Necklace Puzzle!?!?
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Imagine a vertical diameter AB [imaginary]
up and down between the accounts
We should concentrate on a single color, such as white pearls in the middle,
say in a clockwise direction between A and B [half]
Let us assume that the medium contains less than half of white pearls
Sure, if the imaginary section rotated 180 °,
Half now contains more than half of white pearls
Accounts to, turn right onto the balloons [MOVE]
Move may lead to
(a) no change [0 deficit]
(b) an increase in the deficit [-1 deficit]
(c) the reduction of the deficit [1 fall in the deficit]
A movement can reduce the deficit to a maximum of one years
It follows that the transition from a state deficit into a surplus of state,
there must be a court where there is neither surplus nor deficit
real imagination to the cut this time!
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