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

Home > General
Leapfrog (Posted on 2003-06-24) Difficulty: 4 of 5
Assume you have a checker board with 7 rows and infinite columns. You can place checkers on only the first 2 rows initially (number these -1 and 0). Then you may jump other checkers up, down, right, and left but not diagonally. The goal is to get as high a row as possible. For example you can get to the second level with four checkers like this:
 Level   Setup    Turn 1   Turn 2   Turn 3
------  -------  -------  -------  -------
   2     ·····    ·····    ·····    ···a·
   1     ·····    ···d·    ···d·    ·····
   0     ·abc·    ·ab··    ···a·    ·····
  -1     ···d·    ·····    ·····    ·····
It turns out you need at least 2 checkers to get to level 1, 4 to get to level 2, 8 to get to level 3, and 20 to get to level 4.

Prove the least number of jumps it would take to get to level 5, and how you would do it.

Note: You may place the initial checkers anywhere you wish, as necessary.

No Solution Yet Submitted by DJ    
Rating: 4.3333 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: 20 checkers to level 4 | Comment 13 of 18 |
(In reply to 20 checkers to level 4 by Brian Smith)

But you are only allowed to use the first two rows.
You use four in your example. That's not valid.
  Posted by abc on 2003-09-09 20:27:25

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (14)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information