OMCC 2000 Problem 6
- Day 2
Let's say we have a nice representation of the positive integer if we write it as a sum of powers of 2 in such a way that there are at most two equal powers in the sum (representations differing only in the order of their summands are considered to be the same).
a) Write down the 5 nice representations of 10.
b) Find all positive integers with an even number of nice representations.
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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