I was solving this math problem which had to do with representing every Natural number as a summation/subtraction of distinct power of 3

Interestingly this led me to this branch of mathematics called ‘Balanced Ternary’. Check it out!

Exploration of this problem gave me interesting insights about base representation of a number, something that I have been keeping in the backburner for a long while now. Finally got a chance to follow up on this.

**References:**

- https://en.wikipedia.org/wiki/Balanced_ternary
- http://math.stackexchange.com/questions/119606/represent-every-natural-number-as-a-summation-subtraction-of-distinct-power-of
- http://userpages.wittenberg.edu/bshelburne/BalancedTernaryTalkSu09.pdf

**Problem:**

**Code:**