Removing duplicate rows, using fully vectorized code, is fast and easy with unique and its 'rows' and 'stable' options:
>> a = [10,10,10;10,10,10;5,5,5;4,4,4]
a =
10 10 10
10 10 10
5 5 5
4 4 4
>> [~,x] = unique(a(:,1:2),'rows','stable');
>> a(x,:)
ans =
10 10 10
5 5 5
4 4 4
Note how indexing is used to select only the first two columns of a as an input to unique, thus the third column is ignored, as the original questions requests that only the first two columns should be compared.
We can also test it on your test data (although putting it in a PDF is a complete pain: please provide text data instead, either within the question itself, or uploaded as a text file):
>> A = [1,2,120; 1,2,120; 1,3,112; 3,5,100; 3,5,100; 3,6,113; 4,2,106; 4,2,106; 4,6,88; 6,11,0; 6,11,0; 6,12,97; 6,12,97]
A =
1 2 120
1 2 120
1 3 112
3 5 100
3 5 100
3 6 113
4 2 106
4 2 106
4 6 88
6 11 0
6 11 0
6 12 97
6 12 97
>> [~,X] = unique(A(:,1:2),'rows','stable');
>> A(X,:)
ans =
1 2 120
1 3 112
3 5 100
3 6 113
4 2 106
4 6 88
6 11 0
6 12 97
Which exactly matches your required output (did I mention that putting the test-case in a PDF is a pain? Please provide plain text instead!)
