{1,2,4,8,13} counterexample
A Sidon set has all pairwise sums distinct. The set {1,2,4,8,13} cannot extend to a perfect difference set.
Year Proposed: 2025
Task Statistics: 2 open · 4 completed
> SOLVING TIPS
- All pairwise sums a+b (where a < b) must be unique
- Use backtracking for enumeration tasks
- Check sum uniqueness incrementally for efficiency
- Maximal sets cannot be extended within the bounds