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Sciences AllOther (161) By primarily using what simple machine did galileo come to the conclusion on the existence of friction?
967What is the dramatic increase in amplitude called when the frequency of forced vibrations on a body matches the bodys natural vibration frequency?
1027When a person whirls a rock on the end of a string and maintains it in uniform circular motion, the force exerted on the rock is most accurately referred to as?
1102The throbbing caused by sounds of slightly different frequencies that results because of periodic constructive and destructive interference is called:
1101If a dog rolled around on a carpet and gets statically and a flea jumps on it will the flea get electrocuted?
980Who determined that the square of a planets period is proportional to the cube of its average distance from the sun?
951If the moons orbit is inclined slightly relative to the earths orbit what effect does this have on eclipses?
1092
Explain in brief about histamine
in gas chromatography what is the difference between gas flow rate and average linear velocity ?
What is curvilinear motion?
Which domains are present in light chain?
how to select short coloum and long coloumn for new molecule
Explain pleura?
Explain the main factors that affect the growth of a population?
What is the structure that maintains identical chromatids bound?
Describe the indications for bone marrow transplantation and the steps involved in assessing patient eligibility and matching donors.
What is the relation between how fast a leaf burns and the minerals or metallic elements contained in the plants?
Project 2 - Magic Squares design2.txt - due 12/7 before 11:59 PM project2 - due 12/13, before 11:59 PM Orginally by Sue Evans Hit the space bar for next page The Objectives The purpose of this assignment is to give you practice with: recursion using command line arguments using the timing feature and file handling. The Background According to The Math Forum @ Drexel University, A Magic Square is an arrangement of the numbers 1 to n2 in an n x n matrix with each number occuring exactly once, and such that the sum of the entries of any row, any column, or any main diagonal is the same. It is not hard to show that this sum is n(n2 + 1)/2. The simplest magic square is the 1 x 1 magic square whose only entry is the number 1. 1 The next simplest is the 3 x 3 magic square. (8 + 1 + 6) or 3(32 + 1)/2 This is also just ONE of many examples for a 3 x 3 Magic Square!! This 3 x 3 square is definitely magic and satisfies the definition given above. There are 8 different arrangements of entries in a 3 x 3 matrix that fit the definition of a magic square. There are also magic squares of size 4 x 4, 5 x 5, etc. The Background - Continued For small n, say n <= 3, you could obviously sit down with pencil and paper and discover a magic square in a fairly short amount of time. Take a few minutes now and do that, remembering that each of the numbers, 1 through n2, appear only once in the square. Now try it for n = 4 ... Oh, there has to be a better way. :) Of course, the computer doesn't have a patience problem. It can solve the problem for us by using the brute force method. This means that the computer will accomplish its task by trying every single possible arrangement of the numbers in a square and check each of the resulting squares to see if it's a magic square. [6, 2, 7, 5, 4, 8, 3, 9, 1] [4, 2, 7, 6, 5, 8, 3, 9, 1] [7, 4, 2, 6, 5, 8, 3, 9, 1] ... The Task Your assignment will be to determine all of the magic squares when given an n, display permutations that match the magic squares to the screen AND write it to a file. You will only test when n == 3!!! But code it for n of ANY number!! It turns out that finding the magic squares for n >= 4 takes too long for us to run it on the shared machines (linux1, 2 & 3) Since if n == 1, the square is 1 (too easy!!) and since for n == 2 there is no answer!! Your program must come up with every possible arrangement (permutation) of numbers within the square. These are known as the permutations of that list of numbers. Each permutation needs to be checked to see if it has formed a magic square. Program Requirements Your program must: use command line arguments. At the command line the user must enter (in this order): the name of the executable file, n (which will ALWAYS be 3, but again could be run with other numbers) and the name of the output file in which to write the squares. use a recursive permute to give all of the permutations of the square. In other words, your function called "permute", must be a recursive function. So for each permutation, you should check to see if it is a magic square, display it and write it to the file write only the unique magic squares to the SCREEN and FILE. No duplicates allowed. HINT: Let your program produce duplicates first, then see how you can refrain from writing the duplicates. Then modify your code. use a list of size n2. The code for the recursive permute function will be much easier to write if you store the numbers in a list rather than a two-dimensional list (or array) of size n x n. How you print the data is not related. [6, 2, 7, 5, 4, 8, 3, 9, 1, ....] (size to n2) [4, 2, 7, 6, 5, 8, 3, 9, 1, ....] [7, 4, 2, 6, 5, 8, 3, 9, 1, ....] ... close any files that you have opened as soon as you have finished using them. Time how long your program takes to find the magic square and print that time at the end of the SAME file. Sample Run Here is a sample of output of this program. Please note that the sample output only shows what is expected from your program if the user is actually entering everything as instructed. This is not a test of the program at all, but just a sample for your clarification. 2 7 6 9 5 1 4 3 8 2 9 4 7 5 3 6 1 8 4 3 8 9 5 1 2 7 6 4 9 2 3 5 7 8 1 6 6 1 8 7 5 3 2 9 4 6 7 2 1 5 9 8 3 4 8 1 6 3 5 7 4 9 2 8 3 4 1 5 9 6 7 2 Total running time: 4.76 seconds.
Explain what is optical medium?
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Compare the two Viruses Baculovirus vs. Flavivirus ?
In geotechnical engineering, for wet mix macadam, what are the ranges of values of youngs modulus and poisson's ratio?