Remove a line surrounded by blank lines

Question

Basically, I have output from nmap, which gives me an IP and then a list of open ports underneath that, followed by a blank line. I have filtered out the ports that I don't want anymore (grep -v http, for example), but I can't figure out how to remove the IP addesses that have no following ports.

Is there a way to do this with sed?

Sample data:

Nmap scan report for 1.1.1.1
3389/tcp  open  ms-term-serv
5357/tcp  open  unknown
5432/tcp  open  postgresql
8080/tcp  open  http-proxy
49152/tcp open  unknown
49153/tcp open  unknown
49154/tcp open  unknown
49155/tcp open  unknown

Nmap scan report for 2.2.2.2

Nmap scan report for 3.3.3.3
80/tcp    open  http
443/tcp   open  https
6646/tcp  open  unknown
8000/tcp  open  http-alt
49152/tcp open  unknown
49153/tcp open  unknown
49154/tcp open  unknown
49156/tcp open  unknown
49157/tcp open  unknown

Answer 1

With awk you can simply do awk '$2' ORS='\n\n' FS='\n' RS= file:

$ awk '$2' ORS='\n\n' FS='\n' RS= file
Nmap scan report for 1.1.1.1
3389/tcp  open  ms-term-serv
5357/tcp  open  unknown
5432/tcp  open  postgresql
8080/tcp  open  http-proxy
49152/tcp open  unknown
49153/tcp open  unknown
49154/tcp open  unknown
49155/tcp open  unknown

Nmap scan report for 3.3.3.3
80/tcp    open  http
443/tcp   open  https
6646/tcp  open  unknown
8000/tcp  open  http-alt
49152/tcp open  unknown
49153/tcp open  unknown
49154/tcp open  unknown
49156/tcp open  unknown
49157/tcp open  unknown

If the extra newline added to the end of file in previous script is a problem then use this alternative:

awk '/^Nmap/{h=$0;i=NR;next}NR==i+1{if($0){print h;p=1}else p=0}p' file