MLE of lambda in a Poisson mixture

Let $(X_1,Y_1),…,(X_{100},Y_{100})$ be i.i.d. discrete random vectors each having joint probability mass function $$\mathbb{P}(X=x,Y=y)=\frac{e^{-(1+x)\lambda}((1+x)\lambda)^y}{y!}\,p^x(1-p)^{1-x},\quad x\in\{0,1\},\; y\in\mathbb{N}\cup\{0\},$$ where $\lambda>0$ and $0<p<1$ are unknown parameters. If the observed values of $\sum_{i=1}^{100}X_i$ and $\sum_{i=1}^{100}Y_i$ are $54$ and $521$ respectively, the maximum likelihood estimate of $\lambda$ is equal to __________ (round off to 2 decimal places)