All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Games
2 kids 3 boxes (Posted on 2017-07-01) Difficulty: 4 of 5
Two kids are given three boxes of chocolates with a total of 32 pieces.
Rather than sharing evenly, they play the following game:
Each in turn, they pick one of the three boxes, empty its contents in a jar ; then pick some chocolates from one of the remaining boxes and transfer them to the temporarily empty box so that no box stays empty.

The game ends with the current player’s loss when this is no longer possible.

Example start:
Initial state : (7,8,17)
Kid A empties the 1st box: (0,8,17),
then transfers 3 pieces from the 2nd box to the 1st creating new situation (3,5,17)
and now Kid B goes on.

What is the optimal strategy?

Source: The French "Le Monde"
My remark: Although we don’t know the initial quantities of chocolates in each box, the kids do. Please assume: (a,b, 32-a-b) for conformity sake.

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionBrian Smith2017-07-01 22:15:03
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information