three-car accident

I was northbound on a divided highway in Maryland, waiting for the signal to make a left turn. When I had the green arrow I started to make the turn, but suddenly noticed a car that violated the red light and coming southbound in a collision course with me. I stopped to avoid that crash, but the car behind me rearended my car, and the car behind it (a police car) rearended that car causing it to hit my car for a second time. The car that violated the red light got a citation. Both parties behind me agree that I was not at fault, but there is a disagreement about how they will share the damage to my car. The insurance company of the first car says that part of the damage was because that car was pushed by the police car so they should share the damage 50-50. The county says that it was not the policeman's fault at all because there was already a crash which required the policeman to stop more abruptly than normal so only the middle party is at fault. I would appreciate any opinions and advice about whose fault it is and how I should proceed.

The car that ran the red light is at fault along with the police car and the other vehicle behind you. You stated that you felt two bumps. The first bump was the vehicle directly behind you. The second bump was the patrol car hitting the vehicle behind you. Those two vehicles were following too closely. What did your insurance say?

Thanks for the reply. Since the car that ran the red light was not "involved" in the accident, the officers did not even give us her name or insurance info. It is just spelled as "car X" in the police report. I had thought that the car(s) behind me would pay for my damage, and then they could go after that car X if they want to. My insurance did not get involved, as I have a rather high deductable and the damage is less than the deductable.