Show that we can solve the telescope scheduling problem in O(n) time even if the

ID: 648615 • Letter: S

Question

Show that we can solve the telescope scheduling problem in O(n) time even if the list of n observation requests is not given to us in sorted order, provided that start and finish times are given as integer indices in the range from 1 to n2.

For each algorithm:
i. Explain the main idea and approach.

Write appropriate pseudo-code.

Trace it on at least three different examples, including

at least a canonical case and two corner cases. iv. Give a proof of correctness.

v. Give a worst-case asymptotic running time analysis.

Explanation / Answer

for i = 1:n, swapped = false for j = n:i+1, if a[j]

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Show that we can solve the telescope scheduling problem in O(n) time even if the

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