Consider the minimum perfect squares problem. Given a posit…
Consider the minimum perfect squares problem. Given a positive integer, we want to find the least number of squares of integers that we need to sum to get that number. For example, if I give you the number 5, then this can be written as a sum of squares in two different ways: or . So, the minimum number of terms you need is 2. As another example, consider 11. This can be written as a sum of squares in many ways, but the one with the fewest terms is . So, the minimum number of terms required is 3. Your problem is to write pseudocode that will compute the answer to the minimum perfect squares problem using dynamic programming. To be specific, here are some inputs and outputs: Input: 2. Output: 2 () Input: 5. Output: 2 () Input: 11. Output: 3 () Input: 99. Output: 3 () Your code should only output the number of terms in the sum. Do not output which squares are in the sum. (So, for example, if you input 11, your function should just return the number 3.) Hint: Let be the minimum number of perfect squares needed for . Then, notice that you can break this into subproblems via
Read DetailsA study found a correlation coefficient of r = 0.56 based on…
A study found a correlation coefficient of r = 0.56 based on a sample size of n = 14. The t-stat associated with the calculation is t=2.34 and the degrees of freedom is 12. Which formula should you use to calculate the p-value associated with this correlation?
Read DetailsA large multinational corporation is considering entry into…
A large multinational corporation is considering entry into two distinct industries, Industry A and Industry B. Analysis indicates the following: In Industry Alpha, firms minimize their average costs (achieve Minimum Efficient Scale – MES) at an annual output of 30,000 units. In Industry Beta, firms minimize their average costs (MES) at an annual output of 2,000 units. Assume that market demand and the structure of variable costs per unit are similar in both industries. a) Based on this information, which industry (Alpha or Beta) would you expect to support a larger number of competing firms in the long run Explain your reasoning. b) In economic terms (e.g., related to cost structures), how would you explain the difference in the Minimum Efficient Scale (MES) between Industry Alpha and Industry Beta?
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