Implement a Countdown Tree, in the fileCountdownTree.java. This is a balanced search tree that usespartial rebuilding in a manner similar to scapegoat trees (seeOpenDataStructures.org: Scapegoat Trees).
Every countdown tree has a float parameter d, defined when it iscreated. We call this the tree’s countdown delayfactor.
Each node u in a countdown tree has an int countdown timer,u.timer. When a new node is created, it’s timer is set toMath.ceil(d).
When a node u’s timer reaches 0, the nodeexplodes, and the entire subtree rooted at u isrebuilt into a perfectly balanced binary search tree (note that uis probably not the root of this new subtree).
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