COUNTIF without duplicating

[Holland90]

How could I count numbers as of below:

A B C D
1 4 2 0
3 0 4 7
5 6 0 0
2 19 0 3
_____________
0 1 1 2 (<-- COUNTIF (D24,">0")

for those that have been counted on D, won't be counted
again on C, and so on. Please help me to write a function
to retrieve those results (0 1 1 2). Thanks

 

[Holland90]

Looks like no one wants to help me hic hic...
The last line ( 0 1 1 2) is the result from
COUNTIF(A1: A4, ">0"), but since from row A1: D1, there's at least 1 number has been count from other columns, thus it won't be count again, and so on. ---> 0
COUNTIF(B1: B4, ">0"), is used the same method like the above column. --> 1
....
How could I make condition for these COUNTIF? Pls help.