Nightmare!
You are in a locked room, seated at a table on which stands a two-pan balance. One of the pans holds a number of steel ball bearings, each weighing the same whole number of grams greater than 1.
If you could determine the total weight of the balls, you could work out the number of balls there are. This number is particularly important to you as it is the same number as the combination security lock on the door.
Next to the balance is a set of weights, each weighing the same whole number of grams, and together totalling…
