Recall that in the knapsack problem, we are given n items with positive integer weights w1, . . , wn and values v1, . . , vn, and a knapsack of size w; we want to pick a subset of items with maximum total value that fit the knapsack, i. e., their total weight is not larger than the size of the knapsack. in the class, we designed a dynamic programming algorithm for this problem with o(nw) runtime. our goal in this problem is to design a different dynamic programming solution. suppose you are told that t

When early motion pictures played in movie theaters, they were often accompanied by live organ or piano music. which of the following are the most likely reasons that this happened? (select all that apply). the music was provided to distract audience members from the loud sounds made when filmstrips were changed. the music accompanied the movies because the movies were silent and audiences were used to hearing music during plays in theaters. the music usually was played before, and sometimes after the movie, as an alternative form of entertainment. the music viewers to interpret the dramatic action in the films.