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So we have seen that with assertions we can ensure that objects are in a sane state all the time. You can imagine that this would be most useful for large, complex data structures. That is, structures with lots and lots of invariance that need to be maintained or that could possibly be violated due to programming errors. Let me illustrate this with one of the most devilish data structures ever invented, which is a Red-Black tree. Hereamp;#39;s an example of a Red-Black tree. A Red-Black tree is a data structure to represent associative arrays also known as mappings. If I want to search an element in a Red-Black tree, I can do so in an almost logarithmic time. And I do so as in all search trees by checking whether the element Iamp;#39;m searching for is smaller or larger than the element Iamp;#39;m looking at. Suppose I want to check whether the number 22 is in my Red-Black tree: I start at the root, which is 13, Iamp;#39;m looking for 22, which is larger than 13, so I go along the
