Can someone help me in greedy problem?

The problem seems easy but there are two cases . I am not able to get case 2 which is explained in the editorial .

Case 1: First take out max of mixed flowers and then make individual flowers.
long long mixed = min(min(r,g),b);
r = r- mixed;
g = g-mixed;
b= b- mixed;
long long ans1 = (mixed) +(r/3)+(g/3)+(b/3);

but I am not able to get case 2

Please Help !!!