People are mixed up on the first day of orientation, when they should actually be seated according to their roll number. But they can only move to an empty seat either to their left, right, front or back. If given a starting configuration, will we manage to get everyone seated roll number wise(iterated with rows given a higher priority over columns)? For simplicity, the empty seat is always the (n,n)th element of a nxn matrix. The final configuration should also leave that seat empty

Input Format

The input will consist of n^2 values. The first input gives the value of n and the subsequent (n^2 - 1) inputs correspond to the students' roll number (and their current seated position as determined by the index[0,n^2-1]. Row has a higher priority than column). The maximum value of n in the test cases is 64

Constraints

The runtime of the code in python should be under 20s and in C/C++ should be under 4s

Output Format

You need to return a single digit. 0 if the configuration can not be solved. 1 if the configuration can be solved

Sample Input 0

8 10 13 23 22 56 24 26 12 8 42 32 16 49 35 21 33 36 1 15 51 27 62 61 31 55 29 18 2 45 6 58 14 54 48 38 19 59 52 41 47 57 37 46 4 28 34 7 53 44 3 30 5 11 43 9 60 50 17 40 39 25 20 63

Sample Output 0

1

Sample Input 1

9 28 79 48 16 74 65 24 39 4 56 61 6 77 40 19 49 8 20 54 1 72 11 34 30 18 67 29 73 78 3 69 43 51 36 47 44 63 10 37 68 2 14 38 70 23 26 27 5 25 59 32 62 17 53 76 15 58 64 66 55 41 45 7 52 60 9 42 80 13 35 21 46 12 22 50 57 71 31 33 75

Sample Output 1

1

5. (a) Construct a 99% confidence interval for the mean height of the entire female/male SCC student body.

(b) What is the width of this interval?

(c) Write a sentence interpreting your confidence interval.

(d) Review your 93% and 99% confidence intervals above. Which is wider and why?

male Student # Gender Height Shoe Age Hand

1 M 67 10 19 R

2 M 74 12 17 R

3 M 72 11.5 19 R

4 M 69 10 35 R

5 M 66 9 18 R

6 M 71 10.5 17 R

7 M 72 10.5 17 R

8 M 66 10 20 R

9 M 67 10 18 R

10 M 71 10.5 24 R

11 M 66 10 21 R

12 M 71 10.5 18 R

13 M 69 10 22 R

14 M 66 9.5 18 L

15 M 76 14 18 R

16 M 69 11 22 R

17 M 68 9 19 R

18 M 70 12 30 R

19 M 67 10 24 R

20 M 70 11 21 R

21 M 70 10 52 R

22 M 63 9 27 R

23 M 69 11 22 R

24 M 72 10 22 R

25 M 76 11.5 20 L

26 M 75 11 17 R

27 M 72 11 50 L

28 M 69 11 20 R

29 M 70 12 20 R

30 M 69 11.5 23 R

31 M 70 11 18 R

32 M 67 10 21 R

33 M 68 11 44 R

34 M 76 13 48 R

35 M 62 8 23 L

36 M 69 9 19 R

37 M 72 10 60 R

38 M 73 11.5 41 R

39 M 70 9.5 39 R

40 M 78 15 24 R

41 M 65 8.5 23 R

42 M 68 9.5 20 R

Use the heights from the SCC data to answer the following questions. Men are to use the male data, and women are to use the female data (only answer the questions for ONE set of data, not both).

2. State the following for the SCC sample male heights.

a. Sample size (n)

b. Sample mean (?̅)

c. Sample standard deviation (s

male Student # Gender Height Shoe Age Hand

1 M 67 10 19 R

2 M 74 12 17 R

3 M 72 11.5 19 R

4 M 69 10 35 R

5 M 66 9 18 R

6 M 71 10.5 17 R

7 M 72 10.5 17 R

8 M 66 10 20 R

9 M 67 10 18 R

10 M 71 10.5 24 R

11 M 66 10 21 R

12 M 71 10.5 18 R

13 M 69 10 22 R

14 M 66 9.5 18 L

15 M 76 14 18 R

16 M 69 11 22 R

17 M 68 9 19 R

18 M 70 12 30 R

19 M 67 10 24 R

20 M 70 11 21 R

21 M 70 10 52 R

22 M 63 9 27 R

23 M 69 11 22 R

24 M 72 10 22 R

25 M 76 11.5 20 L

26 M 75 11 17 R

27 M 72 11 50 L

28 M 69 11 20 R

29 M 70 12 20 R

30 M 69 11.5 23 R

31 M 70 11 18 R

32 M 67 10 21 R

33 M 68 11 44 R

34 M 76 13 48 R

35 M 62 8 23 L

36 M 69 9 19 R

37 M 72 10 60 R

38 M 73 11.5 41 R

39 M 70 9.5 39 R

40 M 78 15 24 R

41 M 65 8.5 23 R

42 M 68 9.5 20 R

As indicated below, use two different notations for each isotope. Spelling counts!

Description                                                                        Notation 1                Notation 2

contains 7 protons, 7 electrons, 8 neutrons                    15 over 7 N               Nitrogen-15

contains 4 protons, 4 electrons, 6 neutrons                            ?                               ?

contains 11 protons, 11 electrons, 14 neutrons                      ?                                ?

contains 52 protons, 51 electrons, 74 neutrons                      ?                                ?

57, 69, 70, 71, 74, 77, 79, 80, 80, 80, 80, 81, 81, 82, 85, 85, 86, 88, 91, 95, 95, 100

1) Create a relative frequency table for these data.

2) Create a histogram for these data and comment on the shape of the

distribution (skewed, symmetric, etc).

3) Create a boxplot for the data (you’ll need to report the median, quartiles,

and outliers).

Test the claim that for the population of statistics final exams, the mean score is 73 using alternative hypothesis that the mean score is different from 73. Sample statistics include n=25, x¯¯¯=74, and s=11. Use a significance level of α=0.05. (Assume normally distributed population.) The test statistic is equation editorEquation Editor The positive critical value is equation editorEquation Editor The negative critical value is

Use the data from problem 7 to determine if there is interaction present in this study?

Cite specific statistics to support your claim.

How does the answer to part a effect the results of the study

Drying Time (min)

Paint 20 25 30

1 74 73 78

64 61 85

50 44 92

---------------------------------------------------

2 92 98 66

86 73 45

68 88 85

In studies for a​ medication, 9 percent of patients gained weight as a side effect. Suppose 664 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that

​(a) exactly 60 patients will gain weight as a side effect.

​(b) no more than 60 patients will gain weight as a side effect.​

(c) at least 74 patients will gain weight as a side effect. What does this result​ suggest?

A professor at a local community college noted that the grades of his students were normally distributed with a mean of 74 and a standard deviation of 10. The professor has informed us that 6.4 percent of his students received A's while only 2.5 percent of his students failed the course and received F's. What is the minimum score needed to earn an A? Enter your answer rounded to one decimal place.