Go to Post If you use a flux capacitor make certain it is a COTS component, or that you fabricate it from COTS materials. - Richard Wallace [more]
Home
Go Back   Chief Delphi > Competition > Rules/Strategy
CD-Media   CD-Spy  
portal register members calendar search Today's Posts Mark Forums Read FAQ rules

 
Closed Thread
 
Thread Tools Rate Thread Display Modes
  #1   Spotlight this post!  
Unread 07-01-2003, 16:10
jeremy562 jeremy562 is offline
Engineer
#0562 (SPARK 562)
 
Join Date: Feb 2002
Location: Fitchburg, MA
Posts: 74
jeremy562 is an unknown quantity at this point
Send a message via AIM to jeremy562
The easy proof is the commutative property of multiplication, and my calculus is too rusty to do it for real. Here's my best attempt:

Given x, an odd number of containers in scoring position,
let y = the optimal stack height (which you have proofed)

y = x/2

In the case of an odd number of containers, y will be a complex fraction (where x = 11, y = 5 1/2). Since we cannot have 1/2 a container, we must round y either up or down, by adding 0.5 or subtracting 0.5.

We can calculate 2 scores based on (1) adding another container to the stack and (2) not adding another container to the stack.

s1 = (y+0.5) (y-0.5)
s2 = (y-0.5) (y+0.5)

Given the commutative property of multiplication (which states that A*B=B*A), we prove that s1 = s2.
Closed Thread


Thread Tools
Display Modes Rate This Thread
Rate This Thread:

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

vB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Forum Jump

Similar Threads
Thread Thread Starter Forum Replies Last Post
Initial stack height JJG13 Rules/Strategy 1 29-01-2003 21:04
Stack Attack PDA Scoring Calculator Matt Starkey Rules/Strategy 15 23-01-2003 10:52
Multiplier stack scoring change??? Jferrante Rules/Strategy 7 08-01-2003 12:23
Stack height Poll (spawn from other thread) Andrew Rudolph Chit-Chat 5 07-01-2003 17:15
Scoring when an opponent is in contact with your tallest stack. Randy Ai Rules/Strategy 1 06-01-2003 17:17


All times are GMT -5. The time now is 01:48.

The Chief Delphi Forums are sponsored by Innovation First International, Inc.


Powered by vBulletin® Version 3.6.4
Copyright ©2000 - 2017, Jelsoft Enterprises Ltd.
Copyright © Chief Delphi