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Wednesday, July 13, 2011

Cut Gold Puzzle

You've got someone working for you for seven days and a gold bar to pay them. The gold bar is segmented into seven connected pieces. You must give them a piece of gold at the end of every day. If you are only allowed to make two breaks in the gold bar, how do you pay your worker? 

Solution: 

            Let us consider the gold  bar like this, 


 
       
 Lets split the chain as,


 
           Day 1: Give A.(+1)
           Day 2: Get back A, give B.(-1, +2)
           Day 3: Give A.(+1)
           Day 4:Get back A and B, give C. (-2,-1,+4)
           Day 5:Give A. (+1)
           Day 6:Get back A, give B. (-1,+2)
           Day 7:Give A.(+1)
    
               
Posted by anantha at 7/13/2011 10:25:00 PM
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