LRT: normal vs double exponential

Let $X_1, X_2, \dots, X_n$ ($n \ge 2$) be a random sample from the probability density function $f(x)$. Consider the following hypotheses: $H_0: f(x) = \frac{1}{\sqrt{2\pi}} e^{-x^2/2}$, $-\infty < x < \infty$; $H_1: f(x) = \frac{1}{2} e^{-|x|}$, $-\infty < x < \infty$. For testing $H_0$ against $H_1$, let $R$ denote the critical region based on likelihood ratio test having level 0.05. Then, for some constant $c$, the region $R$ is