Problema de optimización

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Ingenuity mini-competition

Growing steps

We propose an optimization problem. There is no single solution. Do not know which is best. It's about finding the best solution according to specifications.
 
The problem
There is a square grid of 11 x 11 points, total 121 points, on which to establish a route that starts at point A5 and, through a chain of segments whose ends are on the grid points, reaches the point K5.
Each step, the line segment between two consecutive points, must be greater than the previous.
The drive can connect dots in any direction but can not touch or cross itself.
The objective of the problem is to determine the longest possible path.
 
Reply
Will be reported in the form presented below.
The field trip will contain the coordinates of the points that make the journey in order to be connected. Each point is separated from the next by a space.
Ultimately the answer in this field has the form A5 (multiple waypoints) K5
 
Deadline to register responses
Answers can be record until August 12, 2011 at 24:00
 
Short example
On a grid of twenty-five points establish a route from point A2 to the point E2.
Answer should be: A2 A1 B2 B4 D2 A0 E5
The path length is 15.32
 

 

Awards
A Mensa cap with logo to be delivered in Rosario, Argentina.

Participate by sending your best answer!
 
Grid for trip
 
Grilla para el problema de optimizacion
 
Form calculation help
To facilitate the calculation of the length of the journey has prepared an Excel spreadsheet for free download.
 
Response
The deadline has expired
 

 

 

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