Jump to content


Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account.
As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends.

Of course, you can also enjoy our collection of amazing optical illusions and cool math games.

If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top.
If you have a website, we would appreciate a little link to BrainDen.

Thanks and enjoy the Den :-)
Guest Message by DevFuse
 

Photo
- - - - -

Shamgar vs the Phillistines


  • Please log in to reply
2 replies to this topic

#1 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1721 posts
  • Gender:Female

Posted 23 April 2014 - 03:33 PM

Shamgar saved Israel by striking down 600 Philistines with an oxgoad.
 

Assume the Philistine army were marching downhill in symmetry as follows:
 
In The Leading Rows
 
* one soldier in the first row
 
* two soldiers in the second row
 
* each row having one extra soldier until row n
 
The Main Block
 
* x rows of n + 1 soldiers
 
The Trailing Rows
 
* the leading rows in reverse: n soldiers in the first row, n - 1 in the next, down to a final row of 1 (the soldier whom Shamgar strikes directly with his goad)
 
Thus, Shamgar struck the last man, who toppled the next row, who toppled the next row etc in a domino effect.
 
What numbers of leading/trailing rows are possible?
 
I'll give a couple of example possibilities:
 
1. zero: the main block would be 600 rows of 1 soldier
 
2. one: the main block would be 299 rows of 2 soldiers
 
3. two: the main block would be 198 rows of 3 soldiers


Edited by BMAD, 23 April 2014 - 03:36 PM.

  • 0

#2 Rob_G

Rob_G

    Junior Member

  • Members
  • PipPip
  • 29 posts

Posted 23 April 2014 - 07:58 PM

Spoiler for The rest

  • 0

#3 m00li

m00li

    Junior Member

  • Members
  • PipPip
  • 71 posts

Posted 24 April 2014 - 02:21 AM

Spoiler for Solution

  • 0




0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users