Friday, August 1, 2008

Riddle 4 - a piece of chocolate




It's time for the next riddle, but before that, let's examine the last one (http://omer-behindthelines.blogspot.com/2008/07/riddle-3-ants-everywhere.html). Alex suggested that it will not take more than 2 minutes for the ants to fall off. The fact is that it will take 1 minute, maximal, for all the ants to fall. The way to prove this is to take a look at what happens when two ants meet (see illustration below). As I said, each ant turns around instantly and goes back to the direction it came from. However, since ants have no names and ant #1 is, for the sake of the riddle, just the same as ant #2, we can imagine that instead of turning around, each ant replaces places with the ant that it met and continues in its journey. Taking this into account, it is obvious that each ant, no matter how many ants it meets in its way, will go in one direction until it drops off - meaning that all the ants will drop after at the most 1 minute.


Riddle 4

In this riddle we have a bar of chocolate. This bar has 6 columns and 4 rows of chocolate, making 24 squares or pieces of chocolate.

The question is - how many times, minimal, do I need to break the bar until I get 24 separate pieces of chocolate (assuming that each break is along a line that separates between two rows or columns and there is no additional breaks)? Please explain why your answer is the lowest number of breaks that can actually give the wanted result.

No comments: