We want to prove that ƒ(n) = ²/1n² +8√n + 1 is O(n²) using the formal definition introduced in class (i.e f(n) is O(g(n)) if there are two constant c and no such that f(n) ≤ c · g(n) for all n ≥ nº). Which of the following pair(s) of constants c and no satisfy the definition? C= C = 21 and ₁ = 0 C= 12 and no = 1 = 1/2 and no = 4 c = 10 and no = 1000 Consider the string s="BARBAPAPA". Which of the following trees is/are representing the optimal prefix codes obtained by the Huffman Algorithm? (Reminder: an edge to the left child encodes a 0, while an edge to the right child encodes a 1). A. TA B 101010110110 10101001010110110 01100001100110011 R 100001100011001100 B. TB P R B C. Tc Using the codes from above, which of the following bit strings are valid encoding of s using Huffman Encoding? R B D. TD

We want to prove that ƒ(n) = ²/1n² +8√n + 1 is O(n²) using the formal definition introduced in class (i.e f(n) is O(g(n)) if there are two constant c and no such that f(n) ≤ c · g(n) for all n ≥ nº). Which of the following pair(s) of constants c and no satisfy the definition? C= C = 21 and ₁ = 0 C= 12 and no = 1 = 1/2 and no = 4 c = 10 and no = 1000 Consider the string s="BARBAPAPA". Which of the following trees is/are representing the optimal prefix codes obtained by the Huffman Algorithm? (Reminder: an edge to the left child encodes a 0, while an edge to the right child encodes a 1). A. TA B 101010110110 10101001010110110 01100001100110011 R 100001100011001100 B. TB P R B C. Tc Using the codes from above, which of the following bit strings are valid encoding of s using Huffman Encoding? R B D. TD

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

Problem 1PE

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Question

We want to prove that f(n) = 1/n² +8√n + 1 is O(n²) using the formal definition introduced in class (i.e f(n) is O(g(n)) if there are two
constant c and no such that f(n) ≤ c · g(n) for all n ≥ no). Which of the following pair(s) of constants c and no satisfy the definition?
C = and no =
C =
21
2
C =
19 and no
2
R
1/2 and no
c = 10 and no = 1000
P
=
A. TA
B
0
Consider the string s="BARBAPAPA". Which of the following trees is/are representing the optimal prefix codes obtained by the Huffman
Algorithm? (Reminder: an edge to the left child encodes a 0, while an edge to the right child encodes a 1).
1
=
= 4
A A
101010110110
10101001010110110
01100001100110011
R B
100001100011001100
B. TB
P
A) (R B P
C. Tc
A
Using the codes from above, which of the following bit strings are valid encoding of s using Huffman Encoding?
B
R P
D. Tp

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