San Francisco General is the city’s main public hospital, and also the main provider for the city’s poorest and most vulnerable residents. On an average day, about 20 people suffering from mental illness walk through its doors asking for psychiatric help. It’s often a last resort for people without a support system or anywhere else to turn. But ongoing state and city budget cuts have forced San Francisco General, like many other public hospitals in the state, to make tough decisions. The psychiatric emergency rooms have been hit the hardest.