OSFP with VRF-lite - same or separate process number?

My main question is for OSPF configuration for each VRF, can I use the same process, or do I need a seperate OSFP process for each VRF?

I'm planning on using vrf-lite to separate different areas in a large office (users / security cameras / server zone) and trunking these up to a firewall for different security zones. I am doing a routed access design with OSPF, all in area 0.

example:

router ospf 1 vrf BLUE

router-id 0.0.1.1

network 10.0.0.0 0.0.255.255 area 0

router ospf 2 vrf RED

router-id 0.0.1.2

network 192.168.0.0 0.0.255.255 area 0

or can I just do this?

router ospf 1 vrf BLUE

router-id 0.0.1.1

network 10.0.0.0 0.0.255.255 area 0

router ospf 1 vrf RED

router-id 0.0.1.2

network 192.168.0.0 0.0.255.255 area 0

Do I have to use a unique router ID per VRF?