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Questions about the science and art of determining properties of algorithms, often including correctness, runtime and space usage. Use the [runtime-analysis] tag for questions about the runtime of algorithms.

2 votes

How to compare the time-complexity of an optimized algorithm with that of the original?

It appears that, before your optimization, your algorithm had the same worst- and average-case complexity, which is why it was easy to consider. The change in asymptotic complexity really depends on …
Kittsil's user avatar
  • 608
6 votes
Accepted

Is there a more efficient algorithm than backtracking/dynamic programming?

(Throughout this answer I use $\phi = \frac{1+\sqrt{5}}{2}$, which is the Golden Ratio.) Solution: If $s\leq n$, the attackers can win in one day. If $s+dpw<\phi^2n$ and $s<2n$, the attackers can w …
Kittsil's user avatar
  • 608