A group of explorers in the Antarctic can obtain the water they need only by melting snow. How much heat does it take for them to make a cup of coffee (100 g water at 100\deg C)? Assume that the snow has an initial temperature of 40\deg C; that the latent heats of fusion and vaporization of water are, respectively, 333.5 kJ/kg and 2257 kJ/kg; and that the specific heats of ice (snow) and water are, respectively, 2.05 kJ/kg · K and 4.18 kJ/kg · K.