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

Home > Games
First or second? (Posted on 2017-05-23) Difficulty: 4 of 5
Two players alternatively erase some 9 numbers from the sequence 1,2,...,101 until only two remain. The player that starts wins x−54 dollars from the player that plays second, x being the absolute value of the difference between the remaining two numbers.

Would you rather be the first or the second player?
Explain your decision by providing your strategy.

See The Solution Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Typo? | Comment 2 of 6 |
If there are 101 numbers, and if only two are to remain at the end, then shouldn't it read this way?:

"Two players alternately erase some 99 numbers . . ."

If that is the case, then it is better to be player 2 who can cross out numbers 1 thru 49 (or 53 thru 101) which would leave x = 51 (101-50 or 52-1).

  Posted by hoodat on 2017-05-24 09:36:04
Please log in:
Remember me:
Sign up! | Forgot password

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

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