A river floodway $(n=0\mathrm{.}024)$ can be assumed as a rectangular channel with a base of $30ft$ and an invert of $325ft$ the location in question. The river has a slope of $0\mathrm{.}00015f\frac{t}{f}t.$ The $100-$year storm flow is $2,000$ cfs$.$ A residence is located along the river with a floor elevation of $334ft.$ Will this house experience flooding during the $100-$year storm? Show all your work to explain why or why not.