1. Given a directed graph below, find its shortest paths from vertex VO to every other vertex in the graph. Show each step clearly. 45 VO 50 10 V4 10 15 20 V2 15 V3 V5 2. Given an array A shown in the following table, which is used to represent complete binary tree 12 3 4 5 6 Ai 22 14 9 6 11 2 Answer the following three questions: a. Draw the corresponding binary tree T. b. Is it a max heap or min heap? Why? c. Sequentially do two heap operations: INSERT(17), INSERT(29) on T. Show the result after each operation. 20 35 62

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. Given a directed graph below, find its shortest paths from vertex VO to every other
vertex in the graph. Show each step clearly.
45
VO
50
VI
10
V4
V2
15
V3
3
V5
2. Given an array A shown in the following table, which is used to represent a
complete binary tree
i
1
2
3 4
5
6
A[i]
22
14
9
6
2
Answer the following three questions:
a. Draw the corresponding binary tree T.
b. Is it a max heap or min heap? Why?
c. Sequentially do two heap operations: INSERT(17), INSERT(29) on T.
Show the result after each operation.
20
10
15
20
35
62
Transcribed Image Text:1. Given a directed graph below, find its shortest paths from vertex VO to every other vertex in the graph. Show each step clearly. 45 VO 50 VI 10 V4 V2 15 V3 3 V5 2. Given an array A shown in the following table, which is used to represent a complete binary tree i 1 2 3 4 5 6 A[i] 22 14 9 6 2 Answer the following three questions: a. Draw the corresponding binary tree T. b. Is it a max heap or min heap? Why? c. Sequentially do two heap operations: INSERT(17), INSERT(29) on T. Show the result after each operation. 20 10 15 20 35 62
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