Perhaps it is more "speaking" to give what that distance means in terms of area. A radius of 50 mi. would mean an area of approximately 7854 square mi. Doesn't that sound like a lot now?
I had the literally the exact same thing happen to me about a month ago. The automated account recovery provided by Gmail was not helping the least bit, and I desperately needed to talk to a human. I ended up creating a Twitter bot to tweet at the Gmail team every 12 hrs or so complaining about how I couldn't recover my account even though I had it for 10+ years, and about three days later, they responded and helped me through a streamlined recovery process that helped reset my password.
You don't need to create a Twitter bot like me, but I would try tweeting at @gmail or @google once a day until they respond. Good luck!
There is not, actually! You can show this strategy does as well as the case where prisoners have full information of each other's moves.[0] So any other strategy where each prisoner is blind to others' actions can always be executed in the full-information case above; so this bound is tight and this strategy is optimal: if there was a strategy that did better in the blind case, you could execute it in the full-information case to get a better outcome, but this is impossible.
For a nice exposition of this, see Curtin and Warshauer's article "The Locker Puzzle."
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[0] More specifically, a game where all lockers are left open, so every strategy has the same probability of winning.
To be precise, the strategy is shown to be optimal as well in a modified game where all lockers are left open and you cannot open any more lockers if you find your own number.
