I have this problem where I'm having trouble solving so any help would be appreciated. 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.