2001 Hyundai Elantra after a day of snow won't start

After a day of 5 inch snow parking on the street, next day the car won't start. Battery still got plenty of life (enough to turn on radio and headlight), have about 1/3 of gas in the tank. As twisting the car key the generator runs only for 1 second and whats left was only the spark plug electrical sound can be heard. I don't think if snow have leak into the engine as the snow only last for few hours and only got to 5 inch high.