Game time

Alice and Bob are playing a game today which consist of $N$ pieces. Each piece has $2$ faces, $A$ and $B$. You are given the points of each piece and their initial configuration, i.e. whether $A$ is facing up or $B$ is facing up The points won by Alice is sum of points on the pieces which have $A$ facing up. Similarly, Bob wins sum of points on pieces which have $B$ facing up. Bob is a cheater