Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Textbook Question
Chapter 22.2, Problem 22.2.2CP
What is the order of each of the following functions?
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Exercise:
List the following functions by increasing order of growth.
Here are the functions:
f.(n) = n"
f2(n) = n"
f3(n) = (;)
f4(n) = V2vn
fs(n) = („",)
fo(n) = 20ogn)*
f;(n) = n5(log n)²
f3 (n) = n* (")
What would be the function grows the slowest among them?
1. n0.5
2. log(n0.5)
3. (log(n))0.5
4. log(n) * log(n)
Could you explain specifically please?
Question 19. The following function f uses recursion:
def f(n):
if n 0
a <- a +i+ (1-1)
return a
c) def f(n):
arr [0] <- 0
arr[1] <- 1
if n <= 1
return arr [n]
else
for i in 2..n
arr [i] <- arr[i-1] + arr[i-2]
return arr [n]
d) def f(n):
arr[0..n] <- [0, .., n)
if n <= 1
return arr [n]
else
a <- 0
for i in 0..n
a <- a + arr [i]
return a
Chapter 22 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 22.2 - Prob. 22.2.1CPCh. 22.2 - What is the order of each of the following...Ch. 22.3 - Count the number of iterations in the following...Ch. 22.3 - How many stars are displayed in the following code...Ch. 22.3 - Prob. 22.3.3CPCh. 22.3 - Prob. 22.3.4CPCh. 22.3 - Example 7 in Section 22.3 assumes n = 2k. Revise...Ch. 22.4 - Prob. 22.4.1CPCh. 22.4 - Prob. 22.4.2CPCh. 22.4 - Prob. 22.4.3CP
Ch. 22.4 - Prob. 22.4.4CPCh. 22.4 - Prob. 22.4.5CPCh. 22.4 - Prob. 22.4.6CPCh. 22.5 - Prob. 22.5.1CPCh. 22.5 - Why is the recursive Fibonacci algorithm...Ch. 22.6 - Prob. 22.6.1CPCh. 22.7 - Prob. 22.7.1CPCh. 22.7 - Prob. 22.7.2CPCh. 22.8 - Prob. 22.8.1CPCh. 22.8 - What is the difference between divide-and-conquer...Ch. 22.8 - Prob. 22.8.3CPCh. 22.9 - Prob. 22.9.1CPCh. 22.9 - Prob. 22.9.2CPCh. 22.10 - Prob. 22.10.1CPCh. 22.10 - Prob. 22.10.2CPCh. 22.10 - Prob. 22.10.3CPCh. 22 - Program to display maximum consecutive...Ch. 22 - (Maximum increasingly ordered subsequence) Write a...Ch. 22 - (Pattern matching) Write an 0(n) time program that...Ch. 22 - (Pattern matching) Write a program that prompts...Ch. 22 - (Same-number subsequence) Write an O(n) time...Ch. 22 - (Execution time for GCD) Write a program that...Ch. 22 - (Geometry: gift-wrapping algorithm for finding a...Ch. 22 - (Geometry: Grahams algorithm for finding a convex...Ch. 22 - Prob. 22.13PECh. 22 - (Execution time for prime numbers) Write a program...Ch. 22 - (Geometry: noncrossed polygon) Write a program...Ch. 22 - (Linear search animation) Write a program that...Ch. 22 - (Binary search animation) Write a program that...Ch. 22 - (Find the smallest number) Write a method that...Ch. 22 - (Game: Sudoku) Revise Programming Exercise 22.21...Ch. 22 - (Bin packing with smallest object first) The bin...Ch. 22 - Prob. 22.27PE
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- 51 Given the following function: def F1(n): k=0 for i in range (1, (n*n*n*n)/2): for j in range(0, i): k += i return What is the time complexity of the function F10? Enter your answerarrow_forwardQ3 (Q5, Section 2.3 in the Textbook): Order the following functions according to their order of growth (from the lowest to the highest): (n – 2)!, 5 lg(n + 100)1º, 2²", 0.001n“, 3n³ + 1, ln²n, Vñ, 3".arrow_forwardFor each of the following function, indicate the class Q(n) the function belongs (use the simplest g(n) possible in your answer. a) (n2 + 1)10 b) 2nlog2(n+2)3 + (n+2)3log2(n/2) c) 8n+5 + 15n+1 d) n + 3n + n2 + 4narrow_forward
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