Problem 1102. USC Fall 2012 ACM : Find Largest Water Concentration

Created by Richard Zapor

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This Challenge is to solve Question B, Water?, of the <a href="http://contest.usc.edu/index.php/Fall12/Home">USC ACM Fall 2012 Contest</a>.Given a character array A of minerals(A:Z) and a vector, iswater, of Water bearing minerals(A:Z) and a minimum rectangular size to evaluate, determine the Region with the Maximum water density. Report the larger region if two have the same density.Specifically, report the Total water symbols and the Area of the highest density region.Input: [ A, iswater, s ]Output: [Total Water Symbols, Area of Rectangle];The full <a href="http://contest.usc.edu/index.php/Fall12/Home?action=download&amp;upname=water.in.txt">USC data file</a>Example:Input: A, iswater, s<pre class="language-matlab">Matrix A
ITTTTHHHHTTTT
IXYOXOOOOOOXI
IOOOXOOOOOXXJ
IYOOOOXOOOOOI
IXXOYOOYOOOOI
IAAAAAXAXAAAJ
</pre><pre class="language-matlab">iswater vector
YX
</pre><pre class="language-matlab">s is 3; This is the minimum allowed rectangle size
</pre>Output: [8 16] as there are 8 "water symbols" in a 4x4=16 square TLC:(2,2)<a href="http://contest.usc.edu/index.php/Fall12/Home?action=download&amp;upname=water.rongqiqiu.cpp.txt">The Winning B solution</a> is very large.

This Challenge is to solve Question B, Water?, of the <http://contest.usc.edu/index.php/Fall12/Home USC ACM Fall 2012 Contest>.

Given a character array A of minerals(A:Z) and a vector, iswater, of Water bearing minerals(A:Z) and a minimum rectangular size to evaluate, determine the Region with the Maximum water density. Report the larger region if two have the same density.

Specifically, report the Total water symbols and the Area of the highest density region.

Input: [ A, iswater, s ]

Output: [Total Water Symbols, Area of Rectangle];

The full <http://contest.usc.edu/index.php/Fall12/Home?action=download&upname=water.in.txt USC data file>

Example:

Input: A, iswater, s

Matrix A
  ITTTTHHHHTTTT
  IXYOXOOOOOOXI
  IOOOXOOOOOXXJ
  IYOOOOXOOOOOI
  IXXOYOOYOOOOI
  IAAAAAXAXAAAJ
  
  iswater vector
  YX
  
  s is 3; This is the minimum allowed rectangle size

Output: [8 16] as there are 8 "water symbols" in a 4x4=16 square TLC:(2,2)

<http://contest.usc.edu/index.php/Fall12/Home?action=download&upname=water.rongqiqiu.cpp.txt The Winning B solution> is very large.

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