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The Chips are Down

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There are three stacks of casino chips.  The first has 21 chips, the second 99, and the third has 45.

You can do two things with the stacks. 

Take a stack and put it on top of another stack.Take a stack and divide it evenly into two stacks.
Is there a sequence of moves that would allow you to have 165 stacks of one chip each?

Answer to The Usual Suspects

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This is the solution to the puzzle The Usual Suspects which I published today.  If you haven't read it yet, don't self-spoil - go have a read of it and see how far you get.  Then come back here.


The Usual Suspects

Here's an interesting logic puzzle whose solution isn't at first obvious.  Six suspects in a bank raid, all blaming each other.  But is there a way to deduce from their lies and half truths who actually did it?


Answer to The Professor's Balls

This is the answer to the puzzle The Professor's Balls.  If you haven't read it yet, here's the link.

The Professor's Balls

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There exists in the professor's mind a remarkable billiards game. It consists of any number of balls, but only three colours: red, green and blue. 






There's one player. 
Each round the player chooses a ball and takes a shot.  If two balls collide and they're different colours, they both turn to the third colour.   That is:


However, if two balls collide and they’re the same colour, nothing changes.
Occasionally the player may also find that they can play a trick shot by allowing three balls to collide simultaneously.  When that happens, and they're of different colours, all three change to one colour at the player’s choice.  If two of the balls are one colour and the third is a different colour, nothing happens and the player takes the next shot. 
However if three balls collide and the balls consists of only two colours, then the two balls that are the same colour change to third colour.



Peer-Reviewers Wanted

Hi Everyone,

I have a new riddle ready to go.  Before I posted it up I wanted to test it against some of the finest minds on the internet - readers of hardestriddle.com.

If you'd like and early sight of the riddle and if you'd like to be one of the peer reviewers then please email me on Scott@mscottmaxwell.com.

Can you please put "Peer Reviewer" in the subject line to make sure I don't miss it.

Looking forward to hearing from you.

Kind Regards
Scott

Hardest Riddles in the World

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Riddle me this, Riddle me that
Here is the Hardest Riddle in the World, so far...

The Hardest Riddle
Once solved, here's the answer.
The Hardest Riddle, The Answer
Here's another. It's not as tricky but has a good reputation as being hard, and it's fun to do.
Albert Einstein's Allegedly Hardest Riddle 
And the answer.
Albert Einstein's Hardest Riddle, The Answer
And if you liked those...

Join me in the next one.
Have fun.