Send her the box with you lock on.
She sends it back with another lock of her own on it.
You unlock your own lock and send it back.
She uses her key to unlock her lock and open the box.
Sorry for the lateness. But correct. 20PP.
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Puzzle 049- Centrifuge- 30PP
You are a biochemist, working with a 12-slot centrifuge. This is a machine that has 12 equally spaced slots around a central axis, in which you can place tubes containing chemical samples you want separated. When the machine is turned on, the samples whirl around the central axis and the denser substances are forced to the bottom of the tubes.
To ensure that the samples are well separated, they must be distributed in the 12 slots such that the centrifuge is balanced evenly. For example, if you wanted to centrifuge 4 samples, you could place them in slots 12, 3, 6 and 9 (assuming the slots are numbered from 1 to 12 like a clock).
Problem: Can you use the centrifuge to separate 5 samples?