You are given a iron rod, whose weight is 40 kg. You are supposed to make four pieces such that employing only those four pieces and a weight balance, you should be able to weigh all the integral weights from 1 to 40. What are the four weights ?
The problem is an interesting one and involves a subtle application. Please do not come up with a solution devised by combinatorial exhaustion of choice because as an adversory I can introduce heavier iron rods, which will sink the ship of combinatorial exhaustion.
The problem is an interesting one and involves a subtle application. Please do not come up with a solution devised by combinatorial exhaustion of choice because as an adversory I can introduce heavier iron rods, which will sink the ship of combinatorial exhaustion.
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