Sept. 18, 2023, 9:02 p.m. (9 months, 1 week)
Let O be the circumcenter and H the orthocenter of an acute triangle ABC. Show that there exist points D, E, and F on sides BC,CA, and AB respectively such that OD + DH = OE +EH = OF +FH and the lines AD, BE, and CF are concurrent.
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