A house with a living area of $200$ m$2$ is built on the soil under the floor.

It will be heated by geothermal water flowing through the pipes. In a house with a wall height of $4$ m$,$ its width is $1\mathrm{.}2$ m$.$

and there are $10$ single$-$glazed windows with a height of $1\mathrm{.}8$ m$.$ R$-3\mathrm{.}3$ in the walls of the house

insulation $($m$2.\backslash$deg C$/$W$)$ and R$-5\mathrm{.}3$ insulation on the ceiling. Floor temperature exceeds $40\backslash$deg C

It will not pass. Hot geothermal water is at a temperature of $90\backslash$deg C and the pipes to be used are heated inside and outside.

Their diameters are $2\mathrm{.}4$ cm and $3\mathrm{.}0$ cm$.$ Design a heating system for this house.