Apply the bottom-up dynamic programming algorithm to the following instance of the knapsack problem: Item Weight Value 1 3 $25 2 2 $30 3 1 $15 4 4 $40 5 5 $50 Capacity W = 8.

consider a jewler who shows a collection of diamonds to a person. all diamonds have different integer ounce weights and are laid out in a single row on the table. what is the largest weight amount of diamonds that the person can take, provided that the person cannot select adjacent diamonds?  use standard pseudocode notation similar to python to write a dynamic programming bottom up algorithm that solves this problem for any n number of diamonds.

When a block is being sent back to main memory from the write buffer, what should happen if the processor sends a cache-unfulfilled request?

In a hypothetical study of population dynamics, scientists have been tracking the number of rabbits and foxes on an island. The number of rabbits and foxes are determined once a year using high resolution infrared cameras and advanced computer vision methods.Each year, the number of rabbits and foxes are found to change by the following equations: $$ {\Delta}R = round( kr*R - krf*R*F ) $$ $$ {\Delta}F = round( -kf*F + kfr*R*F ) $$ where $ {\Delta}r $ and $ {\Delta} f $ are the changes in number of rabbits and foxes by the end of that year; and R and F are the population sizes at the end of the previous year. kr, krf, kf, kfr are coefficients that depend on the species of rabbits and foxes.With these dynamics, the scientists realize that one or both species can become extinct on the island. At the end of each year, if there are fewer than 2 animals of a kind, the scientists transfer rabbits and/or foxes to make sure there are at least 2 of each kind.Write a function…

Part 3 You are part of a team responsible for running a successful video streaming service with millions of views daily. For marketing and research reasons, you have been asked to implement an algorithm that efficiently finds the k most viewed videos daily. You should expect k<

using java to solve this algorithm problem

What is the cartesian product of sets {6,7} and {7,8,9}?

10 by 10 grid, . The agent in the top right corner, fast route to left bottom corner, some cells = easy terrain = 1 time unit. Some cells = rough terrain = 5 time units. Some cells = impassible terrain and cannot be traversed. -Write a Breathe first search Python function: A function that generates a list of lists to represent the 2D grid, where each grid cell contains the number of time units taken to traverse through it. Each cell should have a probability of 0.4 of being easy terrain, 0.4 of being rough terrain and 0.2 of being untraversable. E.g, map = RandomMap()

Please provide a solution for the Knapsack Problem using Genetic Algorithm:

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…