Description

You are a very impatient person, and hate to be kept waiting. You are on your way to visit a relative all the way in New Orleans. The problem is that the bus station you are at has the world's worst bus schedule! There are no arrival or departure times listed, only route durations for each bus running. Being the impatient person you are, you whip out your laptop and attempt to write a program that will determine how long you will have to wait before the next bus comes. Hey, you have nothing better to do, right?

Input

Input to this problem will consist of a (non-empty) series of up to 100 data sets. Each data set will be formatted according to the following description, and there will be no blank lines separating data sets.

A single data set has 3 components:

Following the final data set will be a single line, "ENDOFINPUT".

Output

For each data set, there will be exactly one line of output. This line will simply be the number of time units you will have to wait before the next bus comes after you arrive. You hate waiting so much that you will just get on the first bus that returns to the station. Let's hope this is the bus to New Orleans!

Notes

START 3
100 200 300
400 500 600
700 800 900
1000
END
START 3 
100 200 300 4 3 2 4 2 22 
800
10 1000
32767
END
ENDOFINPUT

200
20

Source

South Central USA 2002