You are givenn items sorted based on hi ratio and the knapsack capacity is W. Now, what is the time complexity of fractional knapsack problem? O(n log n) O(n) O(n*n) O(nW) You are given 4 items as {value, weight} pairs in this format {{20, 5}, {60, 20},{25, 10}, {X,25}}. You can assume that the array is sorted ratio. The capacity of knapsack is 39. The item no. 4 (whose weight is 25 ) is taken fractionally to fill upto the knapsack value weight based on the capacity. That fraction is represented in format. What is the lowest possible value of a?

You are givenn items sorted based on hi ratio and the knapsack capacity is W. Now, what is the time complexity of fractional knapsack problem? O(n log n) O(n) O(n*n) O(nW) You are given 4 items as {value, weight} pairs in this format {{20, 5}, {60, 20},{25, 10}, {X,25}}. You can assume that the array is sorted ratio. The capacity of knapsack is 39. The item no. 4 (whose weight is 25 ) is taken fractionally to fill upto the knapsack value weight based on the capacity. That fraction is represented in format. What is the lowest possible value of a?

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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Could someone help implement this in python. Would be great to show it for local max too. Just trying to achieve O(n) complexity.
Now let's examine a Dynamic Program algorithm to solve this problem. 3.3 Let's say we have an array of length X+1. How would we define array[x]? or What is array[x] defined for?
Question 2: The game of "FastestPath" consists of a path (a 1-D array) with n positive integers to represent n cities in a path (except the first index which has always value 0). The aim of the game is to move from the source city (located at index 0) to destination (located at last index) in the shortest time. The value at each index shows the travel time to enter the city located in the corresponding index. Here is a sample path where there are 6 cities (n is 6): 0 5 90 7 61 12 Always start the game from the first city and there are two types of moves. You can either move to the adjacent city or jump over the adjacent city to land two cities over. The total travel time of a game is the sum of the travel times of the visited cities. In the path shown above, there are several ways to get to the end. Starting in the first city, our time so far is 0. We could travel to city 2, then travel to city 4, then travel to last city for a total travel time of 90 + 61 + 12 = 163. However, a…
Consider the following problem:L is a sorted list containing n signed integers (n being big enough), for example [-5, -2, -1, 0, 1, 2, 4] (here, nhas a value of 7). If L is known to contain the integer 0, how can you find the index of 0 ?
Sorting a data set is an important sub-problem in data science. Given the size n of a data set, whichstatements are correct?a) Bubble Sort has worst-case run-time complexity O(n).b) Bubble Sort has worst-case run-time complexity O(n log N).c) Bubble Sort has worst-case run-time complexity O(n2).d) Merge Sort has worst-case run-time complexity O(n).e) Merge Sort has worst-case run-time complexity O(n log N).f) Merge Sort has worst-case run-time complexity O(n2).g) Quick Sort has worst-case run-time complexity O(n).h) Quick Sort has worst-case run-time complexity O(n log N).i) Quick Sort has worst-case run-time complexity O(n2).
Given an array A = [10, 7, 4, 2, 1], and target = 7, return the index of the target if found, else return -1. 1. Can this problem be solved in O(logN)? 2. If so, write the implementation. Mention time and space complexity 3. If this problem cannot be solved using O(logN), what is the solution that you suggest - write the code and also mention time and space complexity.
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]
Given an integer array A of size N where every element is in the range [0, 9]. When traversing the array, one could move from index į to index (i-1), index (i+1) or index j # į such that A[i]=A[j]. For example, given A = {4, 3, 1, 6, 3, 7, 1}, one can move • From A[0] to A[1] • From A[1] to A[2], A[0] or A[4] (since A[4]=A[1]=3) • From A[2] to A[3], A[1] or A[6] (since A[6]=A[2]=1) From A[3] to A[4], A[2] • And so on. The task is to compute the minimum number of moves to reach to the last index of the array starting from the first index. Examples: Input: A = {1, 2, 3, 4, 1, 5} Output: 2 Explanation: First move from A[0] to A[4] and then from A[4] to A[5]. Input: A = {1, 2, 3, 4, 5, 1} Output: 1 Explanation: Move from A[O] to A[5]. 6. Input: A = {1, 2, 3, 4, 5, 6, 7, 3, 4, 5, 4, 3, 6, 1, 5, 5, 4, 4, 7, 7} Output: 5 Explanation: Move from A[0] to A[13], from A[13] to A[12], from A[12] to A[5], from A[5] to A[6], from A[6] to A[19]. a) Explain how you would represent this problem as a…
Problem 2. Suppose we have an array A[1 : n] which consists of numbers {1,...,n} written in some arbitrary order (this means that A is a permutation of the set {1,...,n}). Our goal in this problem is to design a very fast randomized algorithm that can find an index i in this array such that A[i] mod 8 € {1,2}, i.e., the reminder of dividing A[i] by 8 is either 1 or 2. For simplicity, in the following, we assume that n itself is a multiple of 8 and is at least 8 (so a correct answer always exist). For instance, if n = 8 and the array is A = [8,7, 2,5, 4, 6,3, 1], we want to output either of indices 3 or 8. (a) Suppose we sample an index i from {1,...,n} uniformly at random. What is the probability that i is a correct answer, i.e., A[i] mod 8 E {1,2}? (b) Suppose we sample m indices from {1,...,n} uniformly at random and with repetition. What is the probability that none of these indices is a correct answer? Now, consider the following simple algorithm for this problem: Find-Index-1(A[1:…