Gahui and the 4-Hour Wall 2

The 4-hour wall is the tendency where, when high speed rail and flights compete, high speed rail is superior on routes it covers in $4$ hours or less, and otherwise flights are superior. When a passenger $p$ travels on route $s$, the passenger takes high speed rail if at least one of the two conditions below holds. Otherwise, the passenger takes a flight.

• When traveling on route $s$, the flight takes the same time or longer than high speed rail.
• Passenger $p$ likes trains. Also, high speed rail covers route $s$ in $4$ hours or less.

Traveling from station $a$ to station $b$ by high speed rail takes $S\_{ab}$ minutes. Traveling from station $a$ to station $b$ by flight takes the sum of the following:

• $M\_{a}$ minutes from station $a$ to airport $a$
• $F\_{ab}$ minutes from airport $a$ to airport $b$
• $M\_{b}$ minutes from airport $b$ to station $b$

People who use station $a$ include more people who like trains. For people who use station $a$ and travel from station $a$ to station $b$, report which transportation mode is used more.

The first line contains $S\_{ab}$ as described in the problem.

The second line contains $M\_{a}$, $F\_{ab}$, and $M\_{b}$ as described in the problem, separated by spaces.

If people who use station $a$ use high speed rail more when traveling from station $a$ to station $b$, print high speed rail. Otherwise, print flight.

• Every travel time is at least $1$ minute and at most $738$ minutes.
• High speed rail and flights depart on time and arrive on time.