Algorithm 2 Initial K-CoverPicTree generation

1: Input S: number of virtual sub-regions

2: Input B: number of BoIs for each sub-region

3: Input K: number of sectors for each BoI

4:  for s = 1:S do

5:  Node(s) = s;

6:  for b = 1:B do

7:      Node(s, b) = b;

8:      for k = 1:K do

9:       Node(s, b, k) = k;

10:       end for

11:   end for

12: end for