An insulated beaker with negligible mass contains liquid water with a mass of 0.330 kg and a temperature of 84.8 °C. How much ice at a temperature of -14.4 °C must be dropped into the water so that the final temperature of the system will be 34.0 °C? Take the specific heat of liquid water to be 4190 J/kg⋅K, the specific heat of ice to be 2100 J/kg⋅K, and the heat of fusion for water to be 3.34 × 10⁵ J/kg.