$7\mathrm{.}4\mathrm{.}4$ Given below is the flood hydrograph from a storm on a drainage area of $2\mathrm{.}5m{i}^2.$

$\backslash$table$[[$Hour$,1,2,3,4,5,6,7],[$Discharge $($cfs$),52,48,44,203,816,1122,1138],[$Hour$,8,9,10,11,12,13,],[$Discharge $($cfs$),685,327,158,65,47,34,]]$

Excess rainfall of nearly uniform intensity occurred continuously during the fourth, fifth, and sixth hours. Baseflow separation is accomplished by plotting the logarithm of the discharge against time. During the rising flood, the logarithm of baseflow follows a straight line with slope determined from the flow in hours $1-$

$3.$ From the point of inflection of the falling limb of the flood hydrograph $($hour $8),$ the logarithm of baseflow follows a straight line with slope determined from the flow in hours $11-13.$ Between the peak of the flood hydrograph and the point of inflection, the logarithm of baseflow is assumed to vary linearly. Derive the one$-$hour unit hydrograph by deconvolution.