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To set up our conversation about Linear-Time Sorting, we discussed that comparison-based sorting algorithms can be modeled as a decision tree. While this is a theoretical model, it also has at least some practical use; if you can draw a decision tree representing an algorithm that sorts a finite (and presumably small) set of numbers, you can translate if by hand into C++ code using nested if statements. Each non-leaf node would translate into an if statement, with its children becoming the if and else branches of that statement, respectively, while each leaf node would translate into a final conclusion on the sorted order of the elements (e. g., a reordering of the elements or a return statement of some kind). Now suppose that you used a decision tree to sort exactly four elements and then hand-translated it to C++ code, using the technique described above. At minimum, how many if statements would you expect to find in your translated code.

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