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InfluxDB
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I found this seed primarily using StS CUDA code to sieve for seeds that get Neow's Lament on floor 1 and can buy Juzu Bracelet at the first shop because of the Sssserpent event while also avoiding event node combats. I accounted for unlock manipulation (changing the size of the common relic pool), along with details of the Java random number generator's shuffle method to increase the throughput of seeds.
I checked the maps for paths that avoid all unnecessary combats so that each map only encounters a combat at the start and bosses. Empirically, this occurs 1 in 833 runs on non-Ascension mode and 1 in 1100 in Ascension mode per map, so roughly 1 in a half billion seeds meets this constraint. I used the C++ StS seed search for this filter. For later searches, I'd like to port the map node assignment code to CUDA for better filtering, but it's hard to debug :'(
Finally, I used Arbiter's SeedSearch mod to eyeball the routes to check for potions, card rewards, etc.