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When using a binary search tree, we were able to improve the performance of get/put to O(logn) (more precisly ~1.39lgN). If we allowed up to

When using a binary search tree, we were able to improve the performance of get/put to O(logn) (more precisly ~1.39lgN). If we allowed up to three nodes for children, would the Big-Oh performance improve? Explain.

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