How to replace duplicate elements as 0 in column matrix

I need to replace the repeated elements in column of a matrix as 0's and delete the rows which has all 0's. If my matrix is like this means. Input =

 1     0     0     1     
 0     1     0     1     
 0     0     1     1     
 1     1     1     1

My expected output should be like this

Output =

 1     0     0     1     
 0     1     0     0     
 0     0     1     0     
 0     0     0     0  ---> this row should be get deleted in this case

Answer 1

[Andrei Bobrov]

Output = cumsum(cumsum(Input)) == 1;
Output = Output(any(Output,2),:)