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Louis Reasoner is having a terrible time doing exercise 2.42. His queens procedure seems to work, but it runs extremely slowly. (Louis never does manage to wait long enough for it to solve even the 6× 6 case.) When Louis asks Eva Lu Ator for help, she points out that he has interchanged the order of the nested mappings in the flatmap, writing it a
Explain why this interchange makes the program run slowly. Estimate how long it will take Louis's program to solve the eight-queens puzzle, assuming that the program in exercise 2.42 solves the puzzle in time T.
exercise 2.42 Figure 2.8. A solution to the eight-queens puzzle. The ``eight-queens puzzle'' asks how to place eight queens on a chessboard so that no queen is in check from any other (i.e., no two queens are in the same row, column, or diagonal). One possible solution is shown in figure 2.8. One way to solve the puzzle is to work across the board, placing a queen in each column. Once we have placed k - 1 queens, we must place the kth queen in a position where it does not check any of the queens already on the board. We can formulate this approach recursively: Assume that we have already generated the sequence of all possible ways to place k - 1 queens in the first k - 1 columns of the board. For each of these ways, generate an extended set of positions by placing a queen in each row of the kth column. Now filter these, keeping only the positions for which the queen in the kth column is safe with respect to the other queens. This produces the sequence of all ways to place k queens in the first k columns. By continuing this process, we will produce not only one solution, but all solutions to the puzzle. We implement this solution as a procedure queens, which returns a sequence of all solutions to the problem of placing n queens on an n× n chessboard. Queens has an internal procedure queen-cols that returns the sequence of all ways to place queens in the first k columns of the board.
as an epidemiologist you are going to investigate the effect of a drug suspected of causing malformations in newborn
What is the expected value of the sampling distribution model for the proportion of 480 freshmen that will return to the same school for their sophomore year?
question two opponents a and b are to play a game which consists of two indenotpendent rounds. to win the game a
Interstate 90 is the longest of the east-west U.S. interstate highways with its 3,112 miles stretching from Boston, MA at I-93 on the eastern end to Seattle WA at the Kingdome on the western end. It travels across 13 northern states; the number of..
for the following z-acoresm determine the percentage of scores that lie beyond z show workingstandard
country number of numbers drawn range of numbersunited kingdom 6 1 to 49finland 7 1 to 39florida 5 1 to 36assuming one
This requires you evaluate the data (on the next sheet) and apply Queueing Theory to determine the characteristics of the queues. Please refer to the concept on Queuing Theory for the procedures to do.
In a large clinical trial of 500 patients treated with a new drug, 40 reported sideeffects how many patients would need to be sampled to estimate the desired proportion to within a margin of error of 1%, using 98% confidence?
Statistical probability is most closely associated with which of the types of statistics - Which of the following sampling procedures represents non-probability sampling - normal distribution probabillity model for the study statistical analysis
Construct a frequency distribution (class, tally and frequency) for the data set using the indicated number of classes. In the table, include the midpoint, relative frequencies and cumulative frequencies.
1.The Seneca Children's Fund (SCF) is a local charity that runs a summer camp for disadvantaged children.
What is the linear programming model for this problem?
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