Using the unit hydrograph given in the table and a basin lag of $2\mathrm{.}5$ hour, determine the derived hydrograph for the following rainfall distribution.

$\backslash$table$[[$Time $($h$),\backslash$table$[[$Discharge$],[($cfs$)]]],[0,0],[1,0],[2,20],[3,38],[4,74],[5,60],[6,52],[7,38],[8,24],[9,16],[10,12],[11,10],[12,8]]$