Dynamic Programming "Tower of Babylon": 1. Find the height of the tallest tower using 2 blocks with the following sizes: [20, 29, 29] and [42, 38, 42] 2. Explain the time complexity of the dynamic programming for this problem. (Need to show the complexity for the main steps.)
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![Dynamic Programming "Tower of Babylon":
1. Find the height of the tallest tower using 2 blocks with the following sizes:
[20, 29, 29] and [42, 38, 42]
2. Explain the time complexity of the dynamic programming for this problem. (Need to show
the complexity for the main steps.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6ecc5aa-c26a-42c8-815f-da8b833bcd0b%2F6ee27965-5b83-4d33-9136-95f4716d3767%2Fsbq8rh_processed.jpeg&w=3840&q=75)
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- Plot the orbit in 3D using a suitably dimensioned sphere for the Earth. [6]: # YOUR CODE HERE raise NotImplementedError() Not Implemented Error Cell In [6], line 2 1 # YOUR CODE HERE ----> 2 raise NotImplementedError() Not ImplementedError: Problem 1.6 Plot the Specific Energies (i.e., all three Kinetic, Potential and Total Energy) in the same plot as a function of time. The x-axis must show time (in hours) and y axis must show the Energy (in km² /s²). [7] # YOUR CODE HERE Traceback (most recent call last) raise NotImplementedError()Job scheduling: Consider the problem of scheduling n jobs of known durations t1, t2, . . . , tn for execution by a single processor. The jobs can be executed in any order, one job at a time. You want to find a schedule that minimizes the total time spent by all the jobs in the system. (The time spent by one job in the system is the sum of the time spent by this job in waiting plus the time spent on its execution.) Design a greedy algorithm for this problem. Does the greedy algorithm always yield an optimal solution? (Hint: You may get a clue from Prim’s Algorithm)PLEASE CODE IN PYTHON Problem Description:In order to ensure peace and prosperity for future generations, the United Nations is creating the world’s largest candy. The ingredients must be taken in railway cars from the top of a mountain and poured into Lake Geneva. The railway system goes steeply from the mountaintop down to the lake, with a T-shaped branch in the middle as shown below. Right now, each of the N ingredients is in its own railway car. Each railway car is assigned a positive integer from 1 to N. The ingredients must be poured into the lake in the order 1, 2, 3, . . . , N but the railway cars are lined up in some random order. The difficulty is that, because of the especially heavy gravity today, you can only move cars downhill to the lake, or sideways on the branch line. Is it still possible to pour the ingredients into the lake in the order 1, 2, 3, . . . , N ? For example, if the cars were in the order 2, 3, 1, 4, we can slide these into the lake in order as described…
- Group scheduling Scheduling tasks to actors (people, CPUs, machines etc) is a problem that one encounters very often in practice. In this small exercise, we practice how to solve such a problem by using recursive problem solving. More specifically, we solve the following problem: We are organizing a course and have n� tutorial groups. To run the groups, we are hiring m� teaching assistants. Due to other responsibilities, an assistant is not necessarily able to teach all possible tutorial groups but has a set of groups that s/he can teach. We call this set of possible groups the preferences of the assistant.Is it possible to assign each tutorial group one assistant in a way that (i) all the assistants' preferences are respected, and (ii) each assistant teaches at most one tutorial group?Needless to say, this a very simplified version of the problem; in real life, some groups need more assistants, some assistants can teach more groups, consecutive group times for an assistant should be…Given three sequences of length m, n, and p each, you are to design and analyze an algorithm to find the longest common subsequence (LCSS) for the three sequence. Is it possible to use dynamic programming to find the LCSS between the three sequences? If yes, provide recursive solution to the above problem. (Hint: We already designed dynamic programming algorithm for two sequences of length m and n in our class.)The compass gradient operators of size 3x3 are designed to measure gradients of edges oriented in eight directions: E, NE, N, NW, W, SW, S, and SE. i) Give the form of these eight operators using coefficients valued 0, 1 or – 1. ii) Specify the gradient vector direction of each mask, keeping in mind that the gradient direction is orthogonal to the edge direction.
- C++ Only: Karan has N items in his store (numbered 1 to N); And in i Each valid (1 <= I<= N). the weight of the i th object is Wi. As Chef is very sensitive to nature. Karan wants to arrange all the weights on one side and the weights on the other side. Karan can arrange two dependent items with the help of an exchange during a single operation. Karan needs the minimum working number required to set the All-Equal weight item on one side and the All-Odd Weights on the other. Karan cannot solve this problem so he asks you to solve it. Help Chef solve this problem. Input 1 3 187 Output 1Note: Answer the question using Java language only. Shaker is the first child who got scholarship into the village. He went to London to study where he finds it very interesting to calculate number of ways of going to point (c, d) from point (a, b) in co-ordinate plane. We can take horizontal and vertical steps only and cannot visit at a point twice. In a step, you can move one unit only. We have to reach to the point (c, d) from the point (a, b) using abs(a-c) + abs(b-d) steps only. Shaker has two sets of points. Set A contains points having X co- ordinate 0 and Y co-ordinates varying from 1 to N (both inclusive). Set B contains points having X co-ordinate K and Y co-ordinates varying from 1 to N (both inclusive). Both sets contain N number of integral points. He wants to calculate the sum of number of ways to going to each point of set B from each point of set A. Input 1 22 Output 8Computer Science C++ please, use Monte Carlo integration to calculate the volume of a d-dimensional hypersphere of radius r = 1. (Note that for d=1, 2, and 3, the common names for d-dimensional volume are length, area, and volume, respectively.) Print out each volume and narrow the answer down to 4 digits with 99% confidence. How far can you push d for this method?
- Job scheduling Consider the problem of scheduling n jobs of known durations t1,t2,. . .,tn for execution by a single processor. The jobs can be executed in any order, one job at a time. You want to find a schedule that minimizes the total time spent by all the jobs in the system. (The time spent by one job in the system is the sum of the time spent by this job in waiting plus the time spent on its execution.) Design a greedy algorithm for this problem. Does the greedy algorithm always yield an optimal solution?Problem 6: Induction and Recursion Consider a postal system for which the minimum postage required for any service (e.g. mailing a postcard) is 18 cents. [a] Prove by strong induction that any postage ≥ 18 can be formed using only 4-cent and 7-cent stamps. (Hint: consider bases cases for 18 thru 21.) [b] Write a Java/Python-like pseudocode for a function that determines the number of each denomination of stamp for a postage amount ≥ 18. (It need not be concerned with lesser cases as they are never used).Hill cipher decryption: I must find the encryption key in order to decrypt a specific message. All i know is that the encryption key is 3x3 matrix and the specific message begins with the phrase "CONFIDENT". I must do this in python. I understand how to decrypt stuff once I have the key matrix. But I am confused as to how to find the key matrix in the first place with the information given.