2) The explorers arrive to find the gold box, exactly as they hoped. The box
is 30 centimeters wide, 20 centimeters deep, and 15 centimeters tall. All six
walls of the box are 2 centimeters thick, and the box is, in fact, pure gold.


2) The explorers arrive to find the gold box, exactly as they hoped. The box
is 30 centimeters wide, 20 centimeters deep, and 15 centimeters tall. All six
walls of the box are 2 centimeters thick, and the box is, in fact, pure gold.

However, it seems the villagers also saw Indiana Jones, and put the box on a
clever pressure plate trap. If, at any time, the plate finds the wrong weight
applied -- one pound more or less than the box's weight -- then the temple
will seal the entrance, trapping everyone (and the box) inside.

The explorers have dropped most of their excess gear at this point and have no
scale, nor do they know the weight of most of their remaining items. However,
each explorer does have a clear plastic jug, with straps, holding 20 liters of
water. The jug is marked with marks at every liter from 1 to 20, but is not
marked with any fractions at all. The jugs also have a stamp on them saying
that, when empty, the jug weighs 1 kilogram exactly.

They decide they will leave behind several of their jugs on the pressure
plate, filled with enough water to correctly copy the weight of the box. With
life or death on the line, no other measuring tools, and little time, the
explorers know they cannot estimate what half a liter looks like in the jugs.
They can only leave behind whole number liters of water in each jug.

Question #2: How many jugs, holding how much water, must be left behind to
properly balance the weight of the box?

Shinarae Lluminus