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It's worth mentioning that Python has a number of dictionary implementations that maintain the keys in sorted order for faster iterations. Consider the [sortedcontainers module](https://pypi.python.org/pypi/sortedcontainers) which is pure-Python and fast-as-C implementations. You could use the [SortedDict](http://www.grantjenks.com/docs/sortedcontainers/sorteddict.html) type as a replacement for your own dictionary.
The End.