surpass

優勢(ゆうせい)	To be superior or dominant. SITU

優秀な(ゆうしゅうな)	This is less belligerent than 優勢. 優秀 just means, ‘excellent,’ ‘one of the best’, ‘top of her class’, as opposed to ‘beat or dominated so-and-so for the title.’ $$$PPP TTT

秀でる(ひいでる)	Not useful. PPP