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Sorry for the slow reply, haven't been on in a while.
While I don't fully understand the assignment, I assume this is for an intro programming class.
How does your teacher want you to use a queue? If you have a tree, writing a toString() methods makes more sense, if all you need to do is display the thing.
If this is anything like the assignment I had to write a b-tree, the queue would be more appropriately called a "cache", the queue holding part of the tree allowing for quicker reference to commonly accessed elements.
But that's making a possibly invalid assumption in regards to what your teacher meant by "use a queue".
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