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Questions about problems that can be solved by combining recursively obtained solutions of subproblems.
6
votes
What is dynamic programming about?
Dynamic Programming allows you to trade memory for computation time. Consider the classic example, Fibonacci.
Fibonacci is defined by the recurrence $Fib(n)=Fib(n-1)+Fib(n-2)$. If you solve using thi …
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 …