The following questions will be based on the recurrence relation: T(n) = 2T(|n/2|) +7 if n> 2 T(n) = 1 if n < 2 Master.Method.3.a.b.k: What is the value of a, b, and k? Variable Coefficient b. Master.Method.3.simplified: Does the simplified master method apply? Master.Method.3.case: What case of the Master Method applies? Master. Method.3.Asymptotic: What is the asymptotically tight bound? Enter an expression

The following questions will be based on the recurrence relation: T(n) = 2T(|n/2|) +7 if n> 2 T(n) = 1 if n < 2 Master.Method.3.a.b.k: What is the value of a, b, and k? Variable Coefficient b. Master.Method.3.simplified: Does the simplified master method apply? Master.Method.3.case: What case of the Master Method applies? Master. Method.3.Asymptotic: What is the asymptotically tight bound? Enter an expression

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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The following questions will be based on the recurrence relation: T(n) = 16T([n/4])+ n! if n > 4 T(n) = 1 if n < 4 Master.Method.5.a.b.k: What is the value of a, b, and k? Variable Coefficient b k Master.Method.5.simplified: Does the simplified master method apply? Master.Method.5.case: What case of the Master Method applies? Master.Method.5.Asymptotic: What is the asymptotically tight bound? Enter an expression
a. Software Engineering Research Group (SERG) IIUM is organizing a programming competition. Students are allowed to use either Python or C++ programming language for the competition. Student who wishes to opt for Python goes into lab 1 while for C++ in lab 2. The seating arrangement is based on question ID. The number of students that registered for the competition are 10 students only. Each lab has capacity of 13 students. You are required to create a hash table to indicate where each student with the following question IDs (keys) be hashed/mapped to in the slot of the lab (hash table). IDs = {41, 28, 54, 18, 36, 10, 90, 12, 38, 25} using the hash function, h1(ID) = (ID) % lab capacity Show all your calculations and indication to where the values are being hashed.
Write a Jupyter code for the following.
Write the program to find all the grades fora specified student, as shown in Figure .
Q1. Let’s play a dice game with a pair of dice following these rules:1. At the beginning, you throw a pair of dice. If the two numbers add up to 5, 6, 7, 8, or 9, thegame immediately stops.2. If your first throw does not meet those 5 totals, you would continue until you get either 11 or12.Get 1000 simulations of this paired dice game. What is the average number of dice throw per game?You can use the sample() function to simulate the dice.
def solve_n_queens(n): def is_safe(board, row, col): # Verificar la columna for i in range(row): if board[i][col] == 1: return False # Verificar la diagonal izquierda i, j = row, col while i >= 0 and j >= 0: if board[i][j] == 1: return False i -= 1 j -= 1 # Verificar la diagonal derecha i, j = row, col while i >= 0 and j < n: if board[i][j] == 1: return False i -= 1 j += 1 return True def solve(board, row): if row >= n: solution = [] for r in board: solution.append("".join(['R' if x == 1 else '.' for x in r])) solutions.append(solution) return for col in range(n): if is_safe(board, row, col): board[row][col] = 1 solve(board, row + 1)…
15. Code to Recurrence Relation What is the recurrence relation of the runtime of the following algorithm: T(n) represents the time it takes to complete func called with the parameter n value n. def func(n): if n == 0: return print(n) func(n//2) func(n//3) Pick ONE option T(n) = T(n-1) + T(n-2) + C; T(1) = C T(n) = T(n-2) + T(n-3) + C; T(1) = C T(n) = T(n/2) + T(n/3) + C; T(1) = C T(n) = T(n-5) + C; T(1) = C Clear Selection 81
Check this code and make a code to plot the curve def maxProfitBrute(arr): # O(n^2) arr_len = len(arr) profit = -1 for i in range(arr_len-1): for j in range(i+1, arr_len): diff = arr[j]-arr[i] if (profit <= diff): profit = diff start = i end = j return start, end, arr[end]-arr[start] def maxProfit(prices): # O(n) arr = prices if len(arr) < 2: return 0 elif len(arr) == 2: return arr[1]-arr[0] if arr[1] > arr[0] else 0 mini = arr[0] profit = arr[1]-arr[0] for idx, item in enumerate(arr): mini = min(mini, item) profit = max(profit, item-mini) return profit arr = [5, 5] profit = maxProfit(arr) print(f'\nProfit = {profit}')
Give two examples of Transform and Conquer Approach.
initialize s'; evaluate (s'); while (!end_of_iterations){ s=pick_random_neighbor(s'); evaluate (s); if (s better s') s'=s; } Notes: use 1-flip neighborhood • s': current best solution candidate s : solution candidate currently being considered What to do: 1. Write a program in C/C++. 2. The program must read the knapsack data from the given file. 3. The program must implement the given heuristic.
Ex: Find the intersection of FA2 and FA3. Generate the RE. I tried to make the table according to the given question but it is wrong, what did I do wrong can somebody explain this to me?
def solve_n_queens(n): def is_safe(board, row, col): # Verificar la columna for i in range(row): if board[i][col] == 1: return False # Verificar la diagonal izquierda i, j = row, col while i >= 0 and j >= 0: if board[i][j] == 1: return False i -= 1 j -= 1 # Verificar la diagonal derecha i, j = row, col while i >= 0 and j < n: if board[i][j] == 1: return False i -= 1 j += 1 return True def solve(board, row): if row >= n: solution = [] for r in board: solution.append("".join(['Q' if x == 1 else '.' for x in r])) solutions.append(solution) return for col in range(n): if is_safe(board, row, col): board[row][col] = 1 solve(board, row + 1)…