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If avoiding redundant additions is the requirement , following solution can be useful:
- Maverick December 14, 2012Create matrix2[m][n/2] matrix such that, addition of two consecutive numbers in matrix[m][n] is put in matrix2[][].
For example if matrix[0] looks like {0,1,2,3}
then matrix2[0] will be {1,5} // 0+1 =1 , 2+3=5
Again create a matrix using matrix2[][] using same logic.
By using this calculating sum of matrix[k][k] can be efficient.