Coprime and the government ex ante problem

 Dealing with a coprime set, including the executive with prime of one.

This has to observably match 300 million people. Senate/house errors are bounded roundoff, and they are relatively prime.  So we are trying to create a two color map over the USA so each person every where cannot see anything but dull gray from government. The angle rate is quarterly, at best. That maximum entropy state will settle the aggregate balance difference among its districts yearly.  These are fairly given from measurements limits.

Total number paths is states times districts.  GCD between the two is five, you need to recover from five fifths of ex ante cost per four quarters, and go from there. Dense coastal cities cannot settle fast enough, this is not maximum entropy, but it matters not. The districts will add a layer of jitter to the sharing ratio. They take out tht last observable moment and it still looks dull gray.

If you took all possible paths forward and divided that into a stream of 300 citizens, then it would carry a dull gray round off error, at equibrium, liquidity available for the unexpected round off errors. We can, apriori, get a good estimate f how badly the average voter is getting kicked.