Does an iterator iterate through boost::unordered_set or boost::unordered_map in the same order as long as the set or the map is unchanged?

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Some implementations of a hash map will reorder the items that hash to the same bin, putting the most recently accessed item at the front of a list, as an optimization. This would change the order. I'm not aware that boost::unordered_map does this, but in the future you might end up substituting std::unordered_map and it will all depend on your compiler's implementation.

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It should be deterministic but as long as they are so-called unordered, you should not rely on this to iterate over your elements.