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Crossing The Bridge

You have 17 minutes to get all of them across to the other side. It is
night. There is one flashlight. A maximum of two people can cross at one
time. Any party who crosses, either 1 or 2 people, must have the flashlight
with them. The flashlight must be walked back and forth, it cannot be
thrown, etc. Each man walks at a different speed. A pair must walk
together at the rate of the slower man's pace.

Man 1: 1 minute to cross
Man 2: 2 minutes to cross
Man 3: 5 minutes to cross
Man 4: 10 minutes to cross

For example, if Man 1 and Man 4 walk across first, 10 minutes will have
elapsed when they get to the other side of the bridge. If Man 4 returns
with the flashlight, a total of 20 minutes have passed, and you have failed
the mission.

In what sequence do the men walk across the bridge? Remember, you have only
17 minutes to get all of them standing together on the other side of the
bridge.

P.S. The flashlight cannot shine a long distance, no one can be carried,
etc. (This is a straightforward problem. There are no tricks.)
Submitted  5/17/2000 7:41:55 PM
Hint   Answer