As others have said make sure you start the interview clearly inviting questions, but also if the candidate still seems reticent (they might believe it's a trick offer) maybe engage in a dialog as they start addressing the question.
For example immediately ask an open ended question about some edge case "What do we think should happen if the tree only has a single node?" or something like that. By immediately beginning a dialogue you invite more discussion. But bear in mind many candidates just won't enter into a discussion, it's not how they work, so try not to hold it against them if they are otherwise perfectly suited.
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