You need to take a trip by car to another town that you have never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you choose, there are five other towns (call them A, B, C, D, E) that you might pass through on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, where a dash indicates that there is no road directly connecting these two towns without going through any other towns. Miles between Adjacent Towns Town A B D E Destination Origin 40 60 50 А 10 65 B 10 20 55 40 20 50 D 65 55 10 60 E 40 50 10 80

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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1. You need to take a trip by car to another town that you have never visited before.
Therefore, you are studying a map to determine the shortest route to your destination.
Depending on which route you choose, there are five other towns (call them A, B, C,
D, E) that you might pass through on the way. The map shows the mileage along each
road that directly connects two towns without any intervening towns. These numbers
are summarized in the following table, where a dash indicates that there is no road
directly connecting these two towns without going through any other towns.
Miles between Adjacent Towns
Town
A
B
C
D
E
Destination
Origin
40
60
50
A
10
65
B
10
20
55
40
20
50
65
55
10
60
E
40
50
10
80
Formulate this problem as a shortest-route problem and find the shortest path.
Transcribed Image Text:1. You need to take a trip by car to another town that you have never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you choose, there are five other towns (call them A, B, C, D, E) that you might pass through on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, where a dash indicates that there is no road directly connecting these two towns without going through any other towns. Miles between Adjacent Towns Town A B C D E Destination Origin 40 60 50 A 10 65 B 10 20 55 40 20 50 65 55 10 60 E 40 50 10 80 Formulate this problem as a shortest-route problem and find the shortest path.
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