Question 3 Analyze the time complexity of each block of code and give the big-O notation.1)int n8;0; i < n; i++)System.out.println ("Hello World");for (int i =2)int n= 203;for (int i= 0; i < n; i++)·for (int j = i; j < n; j++)i + j;arr[i][j]3)int n= 20;for (int i = 0; i < n; i++)for (int j0; j 1)n =n / 2;count++;

- Solving the first three problems. Kindly post the remaining separately. - We need to compute…

Question 3 Analyze the time complexity of each block of code and give the big-O notation. 1) int n 87 for (int i 0; i < n; i++) System.out.println ("Hello World"); 2), int n 20; 0; i < n; i++) · i; j < n; j++) for (int i for (int j arr[i] [j] =i+j; 3) int n 20; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) %3D for (int k = 0; k < n; k++) C[i) []] C[1] [j] + A[i][k] + B[k] [j];

Question 3 Analyze the time complexity of each block of code and give the big-O notation. 1) int n 87 for (int i 0; i < n; i++) System.out.println ("Hello World"); 2), int n 20; 0; i < n; i++) · i; j < n; j++) for (int i for (int j arr[i] [j] =i+j; 3) int n 20; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) %3D for (int k = 0; k < n; k++) C[i) []] C[1] [j] + A[i][k] + B[k] [j];

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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Compare the complexities of the following two pieces of code using the cyclomatic complexity metrics. What conclusions can you draw about relative complexity of the code? [6 marks] Code A Code B int i = 1; int j = 1; while (i <= 5) { int i = 2; Playacard(i); if (j =i); if (playhaswon(i)) j++; else i++; i++; else System.out.println(j); i--; i++; }
Assume that you were given N cents (N is an integer) and you were asked to break up the N cents into coins consisting of 1 cent, 2 cents and 5 cents. Write a dynamicprogramming based recursive algorithm, which returns the smallest (optimal) number of coins needed to solve this problem. For example, if your algorithm is called A, and N = 13, then A(N) = A(13) returns 4, since 5+5+2+1 = 13 used the smallest (optimal) number of coins. In contrast, 5+5+1+1+1 is not an optimal answer.
In turing mahcine, the machine takes 2 natural numbers as input in unary form and outputs the integer quotient and the remainder of the integer division: (3, 5) = (2, 1) ^^^111^11111^^^ = ^^^11^1^^^ What would the functionality diagram look like? write answer in the form of {((q_0, 1), (q_0, 1, R)),((q_0, ^), (q_1, ^, L)), ......}
Big-O Complexity Remember, Big-O time complexity gives us an idea of the growth rate of a function. In other words, for a large input size N, as N increases, in what order of magnitude is the volume of statements executed expected to increase? A) Rearrange the following functions in increasing order of their Big-O Complexity B) Also Find the time if n=5: 4n2 log3 n 20n n2.5 n0.00000001 log n! nn 2n 2n+1 22n 3n n log n 100 n2/3 log [(log n)2 ] N! (n−1)!
Information is present in the screenshot and below. Based on that need help in solving the code for this problem in python. The time complexity has to be as less as possible (nlogn or n at best, no n^2). Apply dynamic programming. Do not use recursion/memoization. Make sure ALL test cases return expected outputs. Sample Input 04 412340123 Sample Output 013715 Explanation 0You are given the sequence 1,2,3,4.F0 = A0 = 1F1 = A1 + F0 = 2 + 1 = 3F2 = A2 + F1 + F0 = 3 + 3 + 1 = 7F3 = A3 + F2 + F1 + F0 = 4 + 7 + 3 + 1 = 15 The actual code def solve(k,a): MOD = 1000000007 # compute and return answer here q, n = list(map(int,input().rstrip().split(" ")))a = [int(input().rstrip()) for i in range(n)]outs = []for i in range(q): k = int(input().rstrip()) outs.append(solve(k,a))print("{}".format("\n".join(list(map(str,outs)))))
Information is present in the screenshot and below. Based on that need help in solving the code for this problem in python. The time complexity has to be as less as possible (nlogn or n at best, no n^2). Apply dynamic programming. Do not use recursion. Make sure ALL test cases return expected outputs. Output FormatOutput a single line containing the fastest time to get to square N from square 1. Sample Input 05 2 1 4 13 Sample Output 06 Explanation 0The optimal answer is to: RUN to square 2 (+2 seconds). Sonic now has 1 energy. DASH to square 3 (+1 second). Sonic now has 0 energy. RUN to square 4 (+2 seconds). Sonic now has 1 energy. DASH to square 5 (+1 second). Sonic now has 0 energy. Total time is 6 seconds. Sample Input 15 4 2 10 0 Sample Output 112 Explanation 1The optimal answer is to: RUN to square 2 (+4 seconds). Sonic now has 1 energy. RUN to square 3 (+4 seconds). Sonic now has 2 energy. DASH to square 4 (+2 seconds). Sonic now has 1 energy.…
The language must be in python. Just do numbers 5-7 Neural Network Units Implement a single sigmoid neural network unit with weights of [-1.2, -1.1, 3.3, -2.1] Calculate the outputs for two training examples:Example 1: [0.9, 10.0, 3.1, 1]Example 2: [0.9, 2.1, 3.7, 1] Note that you don't have to explicitly include a threshold or bias since the examples include a last element of 1 which means that the last weight effectively operates as a threshold. Assuming that a sigmoid unit response >0.5 denotes a positive class and <0.5 is negative class, is example 1 positive or negative? is example 2 positive or negative? Create a single ReLU unit and provide the outputs for those examples. Calculate the derivative of the sigmoid with respect to net input for both examples Calculate the derivative of the ReLU with respect to net input for both examples
Information is present in the screenshot and below. Based on that need help in solving the code for this problem in python. The time complexity has to be as less as possible. Apply dynamic programming and memoization. Do not use recursion. Make sure ALL test cases return expected outputs. Hint: Approach the problem with 2D Dynamic Programming. Output FormatOutput one line containing a single integer containing the answer as described in the problem statement. This number must be output mod 109 + 7. Sample Input 0:3 9357 Sample Output 0:5 Sample Input 1:3 23151615 Sample Output 1:4 Sample Input 2:3 6123 Sample Output 2:8 The actual code: def solve(n,c,ws): # compute and return answer here # place 2 nested for loops here MOD = 1000000007n, c = list(map(int,input().rstrip().split(" ")))ws = [int(input().rstrip()) for i in range(n)]print(solve(n,c,ws))
Question 1: Analyze the following codes for Time and space complexity. Determine Big O for the following code fragments in the average case. Assume that all variables are of type int. (d) for (i=0; i < n-1; i++) { for (j=i+1; j < n; j++) { tmp = A[i][j]; A[i][j] = A[j][i]; A[j][i] = tmp; } } (e) sum = 0; for (i=1; i<=n; i++) { for (j=1; j<=n; j*=2) { sum++; } } (f) sum = 0; for (i=1; i<=n; i/=2) { for (j=1; j<=n; j++) { sum++; } }
Knowing that (x + 1)2 = x2 + 2x + 1,and that multiplication is more time consuming than addition, write an efficientprogram that displays the first ten natural numbers and their squares. Knowingthat (x + 1)3 = x3 + 3x2 + 3x + 1, the same process can be followed to displaythe cubes of these numbers.Here is a sample run: 0^2 = 01^2 = 12^2 = 4...8^2 = 649^2 = 8110^2 = 100
a) Consider a recursive function to return the Number of Binary Digits in the Binary Representation of a Positive Decimal Integer (n) using a recursive algorithm. int Process (int n) { if (n == 1) return 1; else return (Extra() + Process (n/4) + Process (n/4)); } Given that Extra(n) is a function of O(n)1) Find T(n) = number of arithmetic operations. 2) Calculate the complexity of this algorithm using Back Substitution.
Let recursive algorithm F be defined as follows: F(int n):if n=1 then return 1else return F(n-1)*n (a) i. Assuming x is a positive integer, what mathematical expression is returned by F(x)?ii. Repeat (i) but assume the line “return 1” is replaced by “return 0”? (b) Which of the following replacements for the last line will yield a function guaranteed to terminate for all valid inputs? i. return F(n-2)+2ii. return F( )*2iii. return F( )*2