"On my honor, as an Aggie, I have neither given nor received unauthorized aid on this academic work. In particular, I certify that I have not received or given any assistance that is contrary to the letter or the spirit of the collaboration guidelines for this assignment."
Prove the following statement using strong induction: Every positive integer can be written as the sum of unique powers of 2. (*clarified statement after discussion in class*) For example:
Let P(n) be the statement that n can be written as the sum of unique powers of 2.