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 Leapfrog (Posted on 2003-06-24)
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: 4.2727 (11 votes)

 Subject Author Date what simone 2005-06-16 13:49:36 re: question to Level 5 Solution owl 2004-10-24 15:27:43 question to Level 5 Solution owl 2004-10-24 14:28:47 Level 5 Solution Brian Smith 2003-10-16 12:18:26 problem with lvl 4 abc 2003-09-09 21:11:23 re: 20 checkers to level 4 abc 2003-09-09 20:27:25 20 checkers to level 4 Brian Smith 2003-09-02 09:58:10 re(2): Impossible? DJ 2003-08-20 11:14:54 re: Impossible? Yoseph 2003-08-20 08:35:58 re: Impossible? Chan Wah 2003-08-04 16:08:06 re: Impossible? Gamer 2003-07-12 11:02:15 Impossible? Bryan 2003-06-27 11:39:56 re(3): Thoughts...(moves vs checkers) Sanjay 2003-06-27 10:23:55 re(3): Thoughts... Bryan 2003-06-26 05:19:26 re(2): Thoughts... DJ 2003-06-26 04:29:08 re: Thoughts... Bryan 2003-06-24 16:08:05 Thoughts... levik 2003-06-24 11:43:38 Stuck again Bryan 2003-06-24 10:52:52

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