Does it take more, less, or the same amount of heat to melt $1\mathrm{.}00$ kg of ice at T$=0\mathrm{.}00$C$,$ or to bring $1\mathrm{.}00$ kg of liquid water at T$=0\mathrm{.}00$C$$to the boiling point? Assume that, for water,$$c$=4186$J$/$kg$$C$$and$$LF$=3\mathrm{.}35105$J$/$kg$.$