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In what order should the parser process those operators?
PFX then * then + to give (a * (PFX b)) + c
+ then PFX then * to give a * (PFX (b + c))
PFX then + then * to give a * ((PFX b) + c)
None! Report a parse error and demand some disambiguating parentheses.
Low-priority prefix operators misparsed my grandparents, you insensitive clod