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natalie2sheffield
25.12.2020 •
Computers and Technology
Design a greedy algorithm which takes as input the number of turkeys n, and the n lists of intervals [a_i,b_i ], and outputs the maximum number of turkeys m that you can talk to. You are expected to write the pseudocode of your algorithm.
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Ответ:
Find a closest pair (p, q) of points from the input set. Points p and q (in any
order) form the first two points in your sequence. Now repeatedly pick from
among the “not yet picked” points, a point that is closest to the last point in
the sequence (with ties broken arbitrarily). Append the newly picked point to
the sequence. Do this until all points are picked.
(a) The intuition for this algorithm is that it tries to get to the next city by traveling
as short a distance as possible. However, this greedy algorithm does not always
produce an optimal traveling salesperson’s tour. Demonstrate this by constructing
a counterexample, i.e., an input set of points for which there exists a tour that is
shorter in length than the tour constructed by the above greedy algorithm. For your
counterexample, clearly show what the greedy algorithm produces and also identify
a shorter tour.
Explanation:
Ответ:
Step-by-step explanation:
the 2nd line can be rewritten as y < x-3
So, any value that is less than both 4x+4 and x-3 will work
Pick any value you want for x, and figure y possibilities
x=0; x-3=-3, 4x+4=4, so y<-3 ... (0,-5) will work
I'm sure you can now come up with other pairs.