CCPC Finals 2020 H Nonsense

给定 $n,x,y\left(1\le n\le 10^9,0\le x,y\lt 998244353\right)$,多组询问 $a,b$,求

$$ \sum_{i=a}^{n}\binom{i}{a}x^{i-a}\binom{n-i}{b}y^{n-i-b}\pmod{998244353} $$

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