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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.
1
vote
Bounding rectangle of a line
An algorithm to know if a point $P$ is in the rectangle $ABCD$ is to check that
$\vec{AB}\cdot \vec{AP}\leq 0$,
$\vec{DC}\cdot \vec{DP}\geq 0$,
$\vec{DA}\cdot \vec{DP}\leq 0$, and
$\vec{CB}\cdot \ve …
2
votes
What is a "wasteful" execution? And a "schedule"?
I'm not completely sure of my answer since I don't have the book but I think that:
By "wasteful" execution they mean an execution that follow $A$ but with a lot of messages. There are trying to prove …
4
votes
Find out whose turn it is to buy the croissants
Let $\{P_1,...,P_n\}$ be the set of croissant's byers. Let ${v_i}^k-1$ be the amount spent by $P_i$ on croissant up to the day $k$ (it can be the number of times he buy croissant if they always spend …
-1
votes
Accepted
Shortest paths candidate
The idea is to build a graph with only the edges that are candidates for the shortest path from $v$ to $u$ assuming that $f$ is the required solution.
If during the process we find an edge that lead …
2
votes
Deleting edges from complete graph
To disconnect a complet graph $G=(V,E)$ into $V_1,V_2$ you have to remove at least $|V_1|*|V_2|$ edges (all the edges between elements of $V_1$ and elements of $V_2$).
Thus if $K<m*(|V|-m)$ you are …
2
votes
Accepted
Changing AVL's balance factor to some other $s>2 \in \mathbb{N}$
If the maximal branch is of height $h$ then you know that all the other branches have at least height $h-s$.
Lets consider $n$ the number of nodes in the two extreme case:
All branches of height $ …
0
votes
Are those definitions of universal hash family equivalent?
There not the same. For example the identity hash table $h(x)=x$ you have:
$$\mathbb{Pr}_{h \in H}[h(k) = h(l)] = 0$$ which answer definition 2 but not 1.
[Edit] A more interesting answer I hope :)
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