Price the up-and-out binary barrier option with payoff
$$
C:=\mathbb{1}_{\left\{S_{T}>Kight\}} \mathbb{1}_{\left\{M_{0}^{T}K \text { and } M_{0}^{T} \leqslant Bight\}}
$$

at time $t=0$, with $K \leqslant B$.