A Google interviewer expects you to ask questions and clarify any simplifying assumptions you may have made.
For eg: Are you assuming right at the beginning that the entire tree fits in memory? If so, Google interviewers expect you to clarify that at the beginning. They might later ask you to modify your solution for cases where your assumptions don't hold true.
From what I know, the biggest mistake people make during tech interviews with the big 5 is directly jumping to solutions without probing deeper. At the scale at which the big 5 operate, many routinely simple assumptions can be problematic.