MLEs of $(\mu, \sigma^2)$ for restricted parameter space

Question

Let $X_1,X_2,...,X_n$ be a random sample of size $n$ from $N(\mu, \sigma^2)$. Find the MLEs of $\mu,\sigma$ if $\mu \in [-1,1]$ and $1 \le \sigma^2 \le 5$. Now, we know that had the restrictions been not imposed on $\mu , \sigma^2$; the MLEs are easy to find. They are precisely given by $\bar{X} , \frac{1}{n} \sum (X_i - \bar{X})^2$ respectively. But how to find the MLEs in this case?