39still no one :(
atleast others give a try
we are allowed to exchange any 2 rows and any 2 coloumns of a 8x8 chessboard whose squares are alternately painted black and white in the usual manner.By a sequence of such changes, can we obtain a board whose left half is black and right half is white?
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6 Answers
62No one?
Hint: Think of what is not changing.. and what needs to change if the configuration is to reach the final state..
1The number of black squares in any row or column always will remain constant independant of whatever steps you take . Hence , I think that we can't obtain the result in question at any cost .
1I think we can.
If it were a square of 9X9, then it might be a problem
PS- I have no mathematical backing to my statement(s). I'm working on them.