ROOKS  Chess part1
Two rooks are to be placed on a chess like N*N game board . each square contains a single non negative integer . the rooks must be placed on different squares.
We say that some squares on the board are attacked if that square in the same row or same column with the rook but squares containing rooks are not attacked.
We want to place our rooks so that the total sum of the numbers of all attacked squares is as large as possible . write a program that will find this maximum sum.
Input
The first line on input will contain N , 2<=N<=300
Each of the following N lines N integers . each number will be greater than or equal zero and less that 1000 these are numbers on board
Output
the only line should contain single integer – the maximum sum from the task description
Example
Input: 3
0 1 4
3 0 2
1 4 1 Output: 15
hide comments
hodobox:
20170726 13:48:55
@young_padawan no, you get points for each square attacked by a rook, so you don't for example get the 4 points on squares (3,2) and (1,3) twice, only once. 

young_padawan:
20160808 16:11:53
for the love of god...this test case makes no sense... for the above set of values the rooks should be placed in (0,1) an (3,3) then we get max sum of 19 

hodobox:
20160803 01:43:14
'square containing a rook is not attacked' > (2,2) is not added > 15


Ashwini:
20131220 18:33:17
given test case answer is wrong .It should be 16.


Apoorv Jindal:
20131123 11:08:10
The input file has some wrong test cases.I had to write a wrong program in order to get it AC :/ 

Aadit Prasad:
20110312 20:15:54
@Code Maestro


যোবায়ের:
20101005 21:14:56
@Code Maestro


Code Maestro:
20101001 23:54:23
a question  if two rooks are in the same row or column, then are their squares counted as being attacked by each other or not?


Luka Kalinovcic:
20100913 21:48:56
Please include resource reference when you copy a problem from another site. This problem is from Croatian Highschool Competitions in Informatics 2006. Problem EGYPIZZA is from 2004.

Added by:  Kawmia Institutes 
Date:  20100830 
Time limit:  0.268s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS OBJC VB.NET 
Resource:  Croatian Highschool Competitions in Informatics 2006 