This question concerns the dynamic programming algorithm for computing a binary tree, discussed in class in and in the notes. Suppose we are given the following data, consisting of 8 key values and the frequency with which each key is accessed: i Data pi
1 A 0.09
2 B 0.17
3 C 0.26
4 D 0.05
5 E 0.06
6 F 0.12
7 G 0.1
8 H 0.15

Required:
a. For each i and j in the appropriate range, give the values of E[i, j] and root[i, j].
b. Draw the optimal binary tree for the data given above.
c. What is the weighted lookup cost of the optimal binary tree? Explain briefly how you computed it.

Select the correct answer. larry finds it easy to run legacy programs and applications in a virtualized environment. how does the virtualization provider make this possible? a. combines workloads of several underutilized servers to fewer machines b. installs and runs different versions of an operating system on the same computing device c. moves virtual machines from one server to another server at a different location d. streamlines and automates management tasks

Write a function balancechemical to balance chemical reactions by solving a linear set of equations. the inputs arguments are: reagents: symbols of reagents in string row array products: symbols of products in string row array elements: elements in the reaction in string row array elcmpreag: elemental composition of reactants in two dimensional numeric array elcmpprdcts: elemental composition of prducts in two dimensional numeric array hint: the first part of the problem is setting up the set of linear equations that should be solve. the second part of the problem is to find the integers from the solution. one way to do this is to mulitiply the rational basis for the nullspace by increasing larger integers until both the left-and right-side integers exist. for example, for the reaction that involves reacting with to produce and : reagents=["ch4", "o2"]; products =["co2", "h2o"]; elements =["c","h", "o"] elcmpreag=[1,4,0;

What is the total resistance in a circuit that contains three 60 ohm resistors connected in a series? a. 20 ohms b. 120 ohms c. 60 ohms d. 180 ohms