Consider two flows of government goods, to the states and to the districts. If they were relatively prime and organized as two binomial distribution and we want their moments to match, how many cons tosses are needed? And part 2: What is the relative ratio of coins tosses.
This can be squashed onto a Lie graph, and the trick is to get the Lie graphs resolution that best matches the state/district imbalance, how often does it wobble on its orbit about the normal Lie graph. Those wobbles are you losses when you cannot always choose the maximum entropy path.
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