I for Insomnia

Problem code: INSOMB3

All submissions for this problem are available.

Given a matrix of dimensions RxC composed of only two types of characters:


'*' and '#'


find the number of I characters present in the matrix. The
criteria for identifying an I is as follows:


  • All the characters forming the I are # only.
  • The figure is completely filled with #s.
  • The thickness and width of the top and bottom rectangles is identical.
  • The central column is formed by leaving out floor(width/3) positions on both
    sides.
  • The central column may be of any length >= 1
  • The I must be surrounded by "*" or the border (i.e. no additional attachments to the I)



Note: A given input figure is likely to contain multiple I's.




Input Format:


Line 1: R C - Two space separated natural numbers denoting the dimensions of
the rows and columns in the matrix respectively. Both R and C will be less than or equal to 40.


Line 2 to R+1: Lines containing C space separated symbols. The symbols are
chosen from the set {*, #}






Output Format:


Line 1: The number of I's in the given figure.





Sample Input:

10 10
# # # # # # # # # #
# # # # # # # # # #
* * * # # # # * * *
* * * # # # # * * *
* * * # # # # * * *
* * * # * # # # * *
* * * # # # # * * *
* * * # # # # * * *
# # # # # # # # # #
# # # # # # # # # #



Sample Output:

0



Explanation: The given I is invalid because of 2 reasons:


It is not completely filled


It has an extra attachment of a # on the right side of the central column.











Author: admin
Date Added: 20-03-2009
Time Limit: 2 - 5 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TCL, TEXT, WSPC


Comments

What is the answer in which

ashmeet @ 28 Dec 2009 12:32 AM

What is the answer in which the central column is not located centrally but all the other conditions are met like:

####

*#**

*#**

####

The central column is formed

sppraveen @ 31 Dec 2009 06:46 PM

The central column is formed by leaving out floor(width/3) positions on both
sides. Does this indicate that the width should atleast be of length 3?

The central column is formed

sppraveen @ 31 Dec 2009 06:49 PM

The central column is formed by leaving out floor(width/3) positions on both
sides. Does this indicate that the width should atleast be of length 3?

4 2 ## ## ## ##   Is this

sppraveen @ 31 Dec 2009 06:55 PM

4 2

##

##

##

##

 

Is this valid. width is 2. Hence we should leave 2/3 = 0 on both sides and central columns width is 2. Hence is this valid?

The problem just says the

triplem @ 1 Jan 2010 04:47 AM

The problem just says the width has to be >= 1. You have already answered your own question.

I have again checked most of

sppraveen @ 16 Jan 2010 06:19 PM

I have again checked most of the cases and my code is correct. Just got to know about the wrong problem st/data in sports stadium problem. Hence please make sure the test data is right.

1 1 #   What should be the

sppraveen @ 14 Feb 2010 01:00 AM

1 1

#

 

What should be the answer for this test case. Since the central column length should be atleast 1 , we can consider this central column. But the width of the central column is decided by top and bottom rectangles. So this should not be valid as there are no top and bottom rectangles.it should be of min length 3 to be valid.

#

#

#

 

We can consider the first n last lines as top and bottom rectangles and the centralc column is of length 1. Please make this clear.

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