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π° Perhaps the add mailbox is a system update, and each update has a royal flush state β but too vague.
π° After careful thought, here is a valid, difficult, seismology-flavored combinatorics question:
π° A tectonic fault network experiences a sequence of 5 seismic wave arrivals, each labeled with a rupture magnitude from A to K (13 distinct values). A royal flush is defined as a sequence where the temporal order of peak magnitudes follows strictly increasing rank order (A before K, K before Q, etc. β by convention, all A-K in sorted order). However, due to stress field constraints, only 4 disjoint 5-day windows in the network can simultaneously support such a clean, unbroken royal flush pattern. How many distinct 5-tuples of rupture magnitudes (from A to K) admit a strictly increasing sequence across the 5-day window, assuming no two pulses share the same magnitude and each window allows only one such royal flush pathway?