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, 7 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

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, 7 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...