You and your friend are presented with a row of n buckets, each containing some amount of gold. Suppose that each amount is represented by some real number. You both decide to play a game, taking turns as follows. First you will keep either the first or the last bucket. Then your friend will keep the first or last of what remains, and so on. This will continue until you have partitioned the buckets. (a) Provide a recursive formulation that returns the maximum amount of gold that you can acquire. This assumes that both sides are playing as best as possible, each to maximize their own yield. (b) Analyze the time complexity of finding the maximum in part (a), via plain recursion and then via dynamic programming. What space complexity can you achieve

Write the command that can be used to answer the following questions. (hint: try each out on the system to check your results.) a. find all files on the system that have the word test" as part of their filename. b. search the path variable for the pathname to the awk command. c. find all files in the /usr directory and subdirectories that are larger than 50 kilobytes in size. d. find all files in the /usr directory and subdirectories that are less than 70 kilobytes in size. e. find all files in the / directory and subdirectories that are symbolic links. f. find all files in the /var directory and subdirectories that were accessed less than 60 minutes ago. g. find all files in the /var directory and subdirectories that were accessed less than six days ago. h. find all files in the /home directory and subdirectories that are empty. i. find all files in the /etc directory and subdirectories that are owned by the group bin."

Allison and her group have completed the data entry for their spreadsheet project. they are in the process of formatting the data to make it easier to read and understand. the title is located in cell a5. the group has decided to merge cells a3: a7 to attempt to center the title over the data. after the merge, allison points out that it is not centered and looks bad. where would the title appear if allison unmerged the cells in an attempt to fix the title problem?

Asample of 200 rom computer chips was selected on each of 30 consecutive days, and the number of nonconforming chips on each day was as follows: 8, 19, 27, 17, 38, 18, 4, 27, 9, 22, 30, 17, 14, 23, 15, 14, 12, 20, 13, 18, 14, 20, 9, 27, 30, 13, 10, 19, 12, 26. construct a p chart and examine it for any out-of-control points. (round your answers to four decimal places.)