Today is D day. When the warmer air and rain start , you will either get lucky with some places through the ice dams to let dranage occur or you will get it inside. It doesn't take much to get some drain action. Even if its just running between the house and the back side of the gutter is will keep it from backing up the slope and beyond the overlap of the shinkles.
Piemma did it the best way , just totally remove that ice cap but most can't do that do to lack of equipment (no ladder) lack of strength or lack of know how. Unless you are used to doing handyman stuff , stay off the high ladders etc. A broken neck is worth a million roofs so be smart. Ross's salty balls (that doesn't sound right

) will likely save the day for many people.