A robber is planning to rob the houses along a street. The constraint is, that he cannot rob adjacent houses. If done, it will alert the police. For the below-given algorithm and input, your task is to draw a DP matrix AND return the maximum earnings in a single night: nums = [4,3,6,2,7,10,5] Algorithm: def rob(self, nums: List[int]) - -> int: dp = [0]*len(nums) // Initialize dp array n = = len(dp) if len(nums) == 1: return nums[0] elif len(nums)==2: return max(nums[0],nums[1]) dp[0]=nums[0] dp[1]=max(nums[1], nums[0]) for i in range(2,len(nums)): dp[i] = max(nums[i]+dp[i-2],dp[i-1]) return dp[n-1]

A robber is planning to rob the houses along a street. The constraint is, that he cannot rob adjacent houses. If done, it will alert the police. For the below-given algorithm and input, your task is to draw a DP matrix AND return the maximum earnings in a single night: nums = [4,3,6,2,7,10,5] Algorithm: def rob(self, nums: List[int]) - -> int: dp = [0]*len(nums) // Initialize dp array n = = len(dp) if len(nums) == 1: return nums[0] elif len(nums)==2: return max(nums[0],nums[1]) dp[0]=nums[0] dp[1]=max(nums[1], nums[0]) for i in range(2,len(nums)): dp[i] = max(nums[i]+dp[i-2],dp[i-1]) return dp[n-1]

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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Write an algorithm called MatrixRowMultiple(A[0…n – 1, 0… n – 1]) which takes an n x n matrix A and outputs if true, if each element in the first row is twice the value of the corresponding element of row 2. Otherwise, it returns false. (ii) Determine the worst case complexity of the algorithm which you have developed.
A parking lot in a mall has RxC number of parking spaces. Each parking space will either be empty (0) or full(1). The status (0/1) of a parking space is represented as the element of the matrix. The task is to find index of the prpeinzta row (R) in the parking lot that has the most of the parking spaces full(1). Solve in Java Language Please.
A matrix is an array of numbers of size m by n (i.e., m x n). When we multiply 2 matrices, we multiply the matching numbers, then sum them up. Multiplying a matrix of size m x n with another matrix of size n x q will result in a matrix of size m x q. An example is shown in Figure 1: [ ? ? ? ? ? ? ] x [ ? ? ? ? ] = [ ?? +?? ?? + ?? ?? + ?? ?? + ?? ?? + ?? ?? + ?? ] Matrix 3 x 2 Matrix 2 x 2 Matrix 3 x 2 Figure 1: Multiplication of Matrix 3 x 2 and 2 x 2 Write a C++ program that multiplies 2 matrices and return the sum of the transposed matrix. Your program shall include the following: a) Define two 2 dimensional arrays, M and N that each represents a matrix of size 3 x 2 and a matrix of size 2 x 2. Request the user to enter the values for the 2 arrays using advanced pointer notations (refer to your slides for the list of array pointer notations). b) Create a function named multMatrix() that passes as arguments, the values of array M and N, multiplies them and store the results in a new…
Write a program that inputs a matrix and displays the trans- pose of that matrix. A transpose of a matrix is obtained by converting all the rows of a given matrix into columns and vice versa.
PLEASE USE PYTHONGiven a jungle matrix NxM:jungle = [ [1, 0, 0, 0], [1, 1, 0, 1], [0, 1, 0, 0], [1, 1, 1, 1,]]Where 0 means the block is dead end and 1 means the block can be used in the path fromsource to destination.Task:Starting at position (0, 0), the goal is to reach position (N-1, M-1).Your program needs to build and output the solution matrix – a 4x4 matrix with 1’s inpositions used to get from the starting position (0,0) to the ending position (N-1,M-1)with the following constraints:You can only move one space at a timeYou can only in two directions: forward and down.You can only pass thru spaces on the jungle matrix marked ‘1’If you cannot reach the ending position – print a message that you’re trapped in thejungleAlgorithm:If destination is reachedprint the solution matrixElseMark current cell in the solution matrixMove forward horizontally and recursively check if this leads to a solution If there is no solution, move down and recursively check if this leads to a solution If…
Given a matrix of m x n elements (m rows, n columns),return all elements of the matrix in spiral order.For example,Given the following matrix:[ [ 1, 2, 3 ], [ 4, 5, 6 ], [ 7, 8, 9 ]]You should return [1,2,3,6,9,8,7,4,5].""" def spiral_traversal(matrix): res = [] if len(matrix) == 0: return res row_begin = 0 row_end = len(matrix) - 1 col_begin = 0 col_end = len(matrix[0]) - 1 while row_begin <= row_end and col_begin <= col_end: for i in range(col_begin, col_end+1): res.append(matrix[row_begin][i]) row_begin += 1 for i in range(row_begin, row_end+1): res.append(matrix[i][col_end]) col_end -= 1 if row_begin <= row_end: for i in range(col_end, col_begin-1, -1): res.append(matrix[row_end][i]) row_end -= 1 if col_begin <= col_end: for i in range(row_end, row_begin-1, -1): res.append(matrix[i][col_begin]) col_begin += 1
solution should have O(l1.length + l2.length) time complexity, since this is what you will be asked to accomplish in an interview. Given two singly linked lists sorted in non-decreasing order, your task is to merge them. In other words, return a singly linked list, also sorted in non-decreasing order, that contains the elements from both original lists.
A wrestling tournament has 256 players. Each match includes 2 players. The winner each match will play another winner in the next round. The tournament is single elimination, so no one will wrestle after they lose. The 2 players that are undefeated play in the final game, and the winner of this match wins the entire tournament. How would you determine the winner? Here is one algorithm to answer this question. Compute 256/2 = 128 to get the number of pairs (matches) in the first round, which results in 128 winners to go on to the second round. Compute 128/2 = 64, which results in 64 matches in the second round and 64 winners, to go on to the third round. For the third round compute 64/2 = 32, so the third round has 64 matches, and so on. The total number of matches is 128 + 64 + 32+ .... Finish this process to find the total number of matches.
You are given an array A[1..n] of positive numbers where Ai] is the stock price on day i. You are allowed to buy the stock once and sell it at some point later. For each day you own the stock you pay S1 fee. Design a divide-and-conquer algorithm that will return a pair (i,j) such that buying the stock on day i and selling it on day j will maximize your gain The complexity of the algorithm has to be O
You are given an array A[1..n] of positive numbers where Ai] is the stock price on day i. You are allowed to buy the stock once and sell it at some point later. For each day you own the stock you pay S1 fee. Design a divide-and-conquer algorithm that will return a pair (i,j) such that buying the stock on day i and selling it on day j will maximize your gain The complexity of the algorithm has to be O(n log n) You are given an array A[1..n] of positive numbers where Ai] is the stock price on day i. You are allowed to buy the stock once and sell it at some point later. For each day you own the stock you pay S1 fee. Design a divide-and-conquer algorithm that will return a pair (i,j) such that buying the stock on day i and selling it on day j will maximize your gain The complexity of the algorithm has to be O(n log n)
Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. each individual has a rating chart portrayed by a variety of integers an of length n. You are currently refreshing the foundation, so you've made a program to pack these diagrams. The program functions as follows. Given an integer boundary k, the program takes the base of each adjoining subarray of length k in a. All the more officially, for a cluster an of length n and an integer k, characterize the k-pressure exhibit of an as a cluster b of length n−k+1, to such an extent that bj=minj≤i≤j+k−1ai For instance, the 3-pressure cluster of [1,3,4,5,2] is [min{1,3,4},min{3,4,5},min{4,5,2}]=[1,3,2]. A stage of length m is an exhibit comprising of m unmistakable integers from 1 to m in subjective request. For instance, [2,3,1,5,4] is a stage, however [1,2,2] isn't a change (2 shows up twice in the exhibit) and [1,3,4] is likewise not a stage (m=3 but rather there is 4 in the…
An n x n matrix is called a positive Markov matrix if eachelement is positive and the sum of the elements in each column is 1. Write thefollowing method to check whether a matrix is a Markov matrix:public static boolean isMarkovMatrix(double[][] m) Write a test program that prompts the user to enter a 3 x 3 matrix of doublevalues and tests whether it is a Markov matrix. Here are sample runs: Enter a 3−by−3 matrix row by row:0.15 0.875 0.375 ↵Enter0.55 0.005 0.225 ↵Enter0.30 0.12 0.4 ↵EnterIt is a Markov matrix Enter a 3−by−3 matrix row by row:0.95 −0.875 0.375 ↵Enter0.65 0.005 0.225 ↵Enter0.30 0.22 −0.4 ↵EnterIt is not a Markov matrix