December Puzzler Solution - Digital Agent Blog
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December Puzzler Solution

December Puzzler Solution

DIGITAL AGENT ENGINEERS SOLVE COMPLEX PUZZLES FOR OUR CUSTOMERS EVERY DAY. CAN YOU SOLVE THE PUZZLE WE CREATED FOR YOU?


QUESTION:
What is the largest number of pie pieces you can make using only 4 straight line cuts? (Cuts must be straight and start at one edge and end at another.)
*BONUS: What about with 7 cuts?

ANSWER:
To cut the pie into the maximum number of pieces, each cut should add as many new pieces as possible. When drawing a new cut, we notice that a new piece is only added when the new cut intersects a previous cut, or reaches the edge. If each new cut intersects every previous cut, then the pie will be cut into the maximum number of pieces. We can see from the pictures below that 4 cuts will allow 11 pieces, and 7 cuts will allow 26 pieces.

 

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