Does it take more, less, or the same amount of heat to melt $1\mathrm{.}00$ kg of ice at $T=0\mathrm{.}00C,$ or to bring $1\mathrm{.}00$ kg of liquid water at $T=0\mathrm{.}00C$ to the boiling point? Assume that, for water, $c=4186\frac{J}{k}g*C$ and $L_F=3\mathrm{.}35{10}^5\frac{J}{k}g.$