You are given a mystery ball and are told that it has a whole-number weight between 1 and 40 lbs (inclusive).

You are then given a balance scale are are allowed to pick four weights, each weighing any whole-number amount. You mush choose these weights so that no matter what the mystery ball weighs, you will be able to determine its weight using just the balance scale and these four weights.

What weights should you choose?

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The Pirates Prayer:
Our missiles, who art in launchers
Hallowed be thy payload
Thy warhead come
Our enemies be done
In low sec as it is in Empire
Give us this kill our daily kill
And forgive us our WCS's
But we won't forgive those that use them against us
And lead us not into bubbles
But deliver us from scramblers
For thine is the thermal, the explosive and the kenetic
EM.