Waste less time on Facebook — follow Brilliant.
×

Something about this game seems strangely familiar

Here's a small puzzle with an ingenious solution:

Consider the set of numbers {-4, -3, -2, -1, 0, 1, 2, 3, 4}. Two players alternately choose one number at a time from the set (without replacement).

The first player who obtains any three out of his or her selected numbers (this may happen after (s)he has chosen 3, 4 or even 5 numbers) that sum to zero wins the game.

Now, the question is that, does either player have a forced win? That is to say, can either player always choose in a way such that a win is guaranteed?

note: this problem is not original. I found the game on this blog .
http://recreational-math.blogspot.in

Note by Adit Mohan
2 years, 1 month ago

No vote yet
1 vote

Comments

Sort by:

Top Newest

Your game is analogous to Tic Tac Toe. So no, there is no forced win.

+3-4+1
-20+2
-1+4- 3
Siddhartha Srivastava · 2 years, 1 month ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...