To merge \(k\) sorted lists, we can use a priority queue that will keep the ordering of the nodes. First, take the first element of all the \(k\) sorted lists, and insert it into the priority queue. The smallest element must be one of these elements. Pop an element off from the priority queue, call it \(m\) and append it to the sorted output. Then, if there exists one, add the successor of \(m\) to the priority queue. Continue this process until all the \(k\) sorted lists are exhausted.