You are designing a flight scheduler for an airline AlgorithmAir. You will have access to a list of dailyflights, $[$F$1...$Fn$],$ each with a departure airport, departure time, arrival airport, arrival time, and cost,Fi $=($DAi$,$ DTi, AAi, ATi, ci$).($Times are measured in minutes after midnight UTC time.$)$A passenger can make a flight connection from $($DAi$,$ DTi, AAi, ATi, ci$)$ to $($DAj $,$ DTj $,$ AAj $,$ ATj $,$ cj $)$ ifand only if AAi $==$ DAj $.$ This connection will have a total layover time of DTj ATi if ATi $<$ DTjor $24($ATi DTj $)$ if DTj ATi, i$.$e$.,$ the passenger will have to wait until the next day to take flightj.