Feature #4: Schedule a New Meeting

Description

For this feature, we have a user who wants to add a new meeting to their tentative meeting schedule. First, we need to add the new meeting to the user’s schedule. Then, we want to make refinements in the schedule to merge some of the meetings. The user’s initial schedule will have no conflicts; however, the new meeting might overlap with one or more of the older ones. Therefore, we can save time by merging some of the meetings that can be held together in the same venue (this can be done for the tasks that can run simultaneously). The meetings can only be merged if the new meeting time overlaps or is adjacent to an existing meeting. We merge these meetings to eliminate conflict.