What are the differences between segment trees, interval trees, binary indexed trees and range trees?
Stack Overflow: http://stackoverflow.com/questions/17466218/what-are-the-differences-between-segment-trees-interval-trees-binary-indexed-t/34699478
k
is the number of reported results
Segment | Interval | Range | Indexed | |
---|---|---|---|---|
Preprocessing | n logn | n logn | n logn | n logn |
Query | k+logn | k+logn | k+logn | logn |
Space | n logn | n | n | n |
Insert/Delete | logn | logn | logn | logn |
| | Segment | Interval | Range | Indexed |
|--------------|--------------:|-----------:|---------------:|----------:|
|Preprocessing | n logn | n logn | n logn | n logn |
|Query | k+logn | k+logn | k+logn | logn |
|Space | n logn | n | n | n |
| | | | | |
|Insert/Delete | logn | logn | logn | logn |
d > 1
Segment | Interval | Range | Indexed | |
---|---|---|---|---|
Preprocessing | n(logn)^d | n logn | n(logn)^d | n(logn)^d |
Query | k+(logn)^d | k+(logn)^d | k+(logn)^d | (logn)^d |
Space | n(logn)^(d-1) | n logn | n(logn)^(d-1)) | n(logn)^d |
| | Segment | Interval | Range | Indexed |
|--------------|--------------:|-----------:|---------------:|----------:|
|Preprocessing | n(logn)^d | n logn | n(logn)^d | n(logn)^d |
|Query | k+(logn)^d | k+(logn)^d | k+(logn)^d | (logn)^d |
|Space | n(logn)^(d-1) | n logn | n(logn)^(d-1)) | n(logn)^d |
What do the reported results (k) mean?