Truncated Birth-Death Chain

A chain runs on states $\{0,1,\dots,m\}$. From interior state $i$ it moves to $i+1$ with probability $p$, to $i-1$ with probability $q$, and stays put with probability $1-p-q$. At $0$ the left move is replaced by staying put; at $m$ the right move is replaced by staying put. Assume $p,q>0$. Find the stationary distribution.