I have this problem where I'm having trouble solving so any help would be appreciated.(adsbygoogle = window.adsbygoogle || []).push({});

Here's the problem:

You have a balancing scale and a set of unique weights. Each weight that you have is a power of 3 ie you have weights 1,3,9,27 etc. You are given a weight w.

The problem is to tell which weight goes on which pan so that the scale is balanced.

For example:

Suppose you are given weight with value 35.

Solution:

The left pan will have 35 + 1 = 36

The right pan will have 27 + 9 = 36

Another example with weight 52.

The left pan will have 52 + 27 + 3 = 82

The right pan will have 81 + 1 = 82

I hope the problem is clear.

I haven't gotten further than understanding that value on the pans must be 3x or 3x + 1.

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# Sum of unique powers of 3

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