uppose we have a set S = {al, a2, ..., an} of n proposed activities that wish to use a esource, such as a lecture hall, which can serve only one activity at a time. Each activity has a start time Si and a finish time fi, where 0 < s¡ < f¡< 1. If selected, activity a; takes lace during the half-open time interval [si, fi). Activities ai and aj are compatible if the atervals [Si, fi) and [sj, f) do not overlap. That is, a¡ and aj are compatible if Si > fj or s; > In this question, we wish to select a maximum-size subset of mutually compatible ctivities that are listed in following table. %3D 1 2 3 4 5 7 8 9. 10 11 Si 1 3 2 5 4 7 6 8. 12 4 4 7 8. 9. 10 11 12 13 659

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Suppose we have a set S = {al, a2, ...,
resource, such as a lecture hall, which can serve only one activity at a time. Each activity
a; has a start time s¡ and a finish time f¡, where 0 < s¡ < f¡< 1. If selected, activity a; takes
place during the half-open time interval [si, fi). Activities ai and aj are compatible if the
intervals [si, fi) and [sj, f¡) do not overlap. That is, a¡ and aj are compatible if s; > fj or sj >
fj. In this question, we wish to select a maximum-size subset of mutually compatible
activities that are listed in following table.
an} of n proposed activities that wish to use a
8.
6.
i
1
2
3
4
5
7
9.
10
11
Si
1
3
2
5
4
5
7
8
12
fi
4
4
7
8.
8
9.
9.
10
11
12
13
Transcribed Image Text:Suppose we have a set S = {al, a2, ..., resource, such as a lecture hall, which can serve only one activity at a time. Each activity a; has a start time s¡ and a finish time f¡, where 0 < s¡ < f¡< 1. If selected, activity a; takes place during the half-open time interval [si, fi). Activities ai and aj are compatible if the intervals [si, fi) and [sj, f¡) do not overlap. That is, a¡ and aj are compatible if s; > fj or sj > fj. In this question, we wish to select a maximum-size subset of mutually compatible activities that are listed in following table. an} of n proposed activities that wish to use a 8. 6. i 1 2 3 4 5 7 9. 10 11 Si 1 3 2 5 4 5 7 8 12 fi 4 4 7 8. 8 9. 9. 10 11 12 13
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