bridge hands and math and computer science and programming and puzzles and etc and etc.
The problem was here.
The goal was to minimize manual algebra.
Let ab+bc+ac=s. Then abc=2022s and thus a,b,c are roots of the polynomial
t3−2022t2+st−2022s=(t−2022)(t2+s)
Thus we can assume a=2022,b=−c and thus the answer is 2022−2023.
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