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An algorithm is a sequence of well-defined steps that defines an abstract solution to a problem. Use this tag when your issue is related to design and analysis of algorithms.

5 votes
1 answer
2k views

Finding the subset of $S$ that sums up to $k$ using a black box in $O(n)$ time

Suppose you are given an input set $S$ of $n$ numbers, and a black box that if given any sequence of real numbers and an integer $k$ instantly and correctly answers whether there is a subset of input …
winston smith's user avatar
0 votes
2 answers
233 views

Worst-case time algorithm?...which one is faster?

Imagine that an algorithm A runs in worst-case time $f(n)$ and that algorithm B runs in worst-case time $g(n)$. Answer either yes, no, or can’t tell and could you explain me why? Is A more faster tha …
winston smith's user avatar
1 vote
1 answer
29 views

Immediate positions algorithm?

Im studying for the computer science subject GRE test, as an exercise i need to implement the followin algorithm in java, any idea on how to aproach it?. Given a set $X$ and $z$ not in $X$, indicate …
winston smith's user avatar
4 votes
2 answers
17k views

Prove correctness of recursive Fibonacci algorithm, using proof by induction

I'm studying for the computer science GRE, and as an exercise I need to provide a recursive algorithm to compute Fibonacci numbers and show its correctness by mathematical induction. Here is my recur …
winston smith's user avatar