I May Have Remembered The Craziest Movie Of All Time

I had someone ask me, "If Siamese twins commit a crime and one is innocent and the other is guilty, do they both go to prison?" After the huge question mark which formed over my head was gone, I replied that I thought there was some crazy movie a long time ago which had that concept. 

It was then discovered this movie is what was in the back of my brain. I was really, really wrong about the concept.

But this movie definitely needs a remake.