See below for assignment. (I check for plagiarism using TurnItIn)InstructionsThe major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown area on Main Street. A telephone survey has been conducted to identify strengths and weaknesses of these areas and to find out how they fit into the shopping activities of local residents. The 150 respondents were also asked to provide information about themselves and their shopping habits. The data are provided in the file SHOPPING. The variables in the survey can be found in the file CODING.In this exercise, some of the estimation techniques presented in the module will be applied to the Springfield Shopping survey results. You may assume that these respondents represent a simple random sample of all potential respondents within the community, and that the population is large enough that application of the finite population correction would not make an appreciable difference in the results.Managers associated with shopping areas like these find it useful to have point estimates regarding variables describing the characteristics and behaviors of their customers. In addition, it is helpful for them to have some idea as to the likely accuracy of these estimates. Therein lies the benefit of the techniques presented in this module and applied here.1. Item C in the description of the data collection instrument lists variables 7, 8, and 9, which represent the respondent’s general attitude toward each of the three shopping areas. Each of these variables has numerically equal distances between the possible responses, and for purposes of analysis they may be considered to be of the interval scale of measurement.Determine the point estimate, then construct the 95% confidence interval for μ7= the average attitude toward Springdale Mall.Repeat part (a) for μ8 and μ9, the average attitudes toward Downtown and West Mall, respectively.Given the breakdown of responses for variable 26 (sex of respondent), determine the point estimate, construct the 95% confidence interval for π26= the population proportion of males.Given the breakdown of responses for variable 28 (marital status of respondent), determine the point estimate, and then construct the 95% confidence interval for π28 = the population proportion in the “single or other” category.Assume the managers have requested estimates of the mean attitudes towards each mall with a margin of error of 0.05 for each mall. If the managers want to have 95% confidence that the sample mean will fall within this margin of error, how large should the sample size be for each mall?Paper RequirementsWrite a report that uses APA Requirements. Items that should be included, at a minimum, are a title page, an introduction, a body that answers the questions posed in the problem, and a conclusion paragraph that addresses your findings and what you have determined from the data and your analysis. As with all written assignments, you should have in-text citations and a reference page too. Please include any tables of calculations, calculated values and graphs associated with this problem in the body of your assignment response.NOTE: You MUST submit your Excel file with your report. This will aid in grading with partial credit if errors are found in the report.7 day
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MTH156
Critical Thinking Rubric – Module 6
Meets Expectation
Content, Research, and Analysis
9-10 Points
Requirements
Addresses each of
the questions and
calculations;
includes report
with specified
sections; includes
Excel file and
graphical displays,
as specified in the
assignment.
21-25 Points
Content
Demonstrates
strong or adequate
knowledge of the
materials;
correctly
represents
knowledge from
the readings and
sources.
13-15 Points
Critical Analysis
Provides a strong
critical analysis
and interpretation
of the information
given.
Mechanics and Writing
9-10 Points
Demonstrates
Project is clearly
college-level
organized, well
proficiency in
written, and in
organization,
proper format as
grammar and
outlined in the
style.
assignment. Strong
sentence and
paragraph
structure; few
errors in grammar
and spelling.
Approaches
Expectation
Below Expectation
Limited Evidence
7-8 Points
Includes most of
the required
components, as
specified in the
assignment.
5-6 Points
Includes some of
the required
components, as
specified in the
assignment.
3-4 Points
Includes few of the
required
components, as
specified in the
assignment.
16-20 Points
Some significant
but not major
errors or omissions
in demonstration
of knowledge.
11-15 Points
Major errors or
omissions in
demonstration of
knowledge.
6-10 Points
Fails to
demonstrate
knowledge of the
materials.
10-12 Points
Some significant
but not major
errors or omissions
in analysis and
interpretation.
7-9 Points
Major errors or
omissions in
analysis and
interpretation.
4-6 Points
Fails to provide
critical analysis and
interpretation of
the information
given.
7-8 Points
Project is fairly well
organized and
written, and is in
proper format as
outlined in the
assignment.
Reasonably good
sentence and
paragraph
structure;
significant number
of errors in
grammar and
spelling.
5-6 Points
Project is poorly
organized; does
not follow proper
paper format.
Inconsistent to
inadequate
sentence and
paragraph
development;
numerous errors in
grammar and
spelling.
3-4 Points
Project is not
organized or well
written, and is not
in proper paper
format. Poor
quality work;
unacceptable in
terms of grammar
and spelling.
MTH156
Critical Thinking Rubric – Module 6
9-10 Points
Demonstrates
Project contains
proper use of
proper APA
APA style
formatting,
according to the
CSU-Global Guide
to Writing and APA
Requirements,
with no more than
one significant
error.
Total points possible = 70 points
7-8 Points
Few errors in APA
formatting,
according to the
CSU-Global Guide
to Writing and APA
Requirements, with
no more than two
to three significant
errors.
5-6 Points
Significant errors in
APA formatting,
according to the
CSU-Global Guide
to Writing and APA
Requirements, with
four to five
significant errors.
3-4 Points
Numerous errors in
APA formatting,
according to the
CSU-Global Guide
to Writing and APA
Requirements, with
more than five
significant errors.
Springdale Shopping Survey*
The major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown
area on Main Street. A telephone survey has been conducted to identify strengths and weaknesses of these areas
and to find out how they fit into the shopping activities of local residents. The 150 respondents were also asked to
provide information about themselves and their shopping habits. The data are provided in the file SHOPPING. The
variables in the survey were as follows:
A. How Often Respondent Shops at Each Area (Variables 1–3)
1.
Springdale Mall
6 or more times/wk.
4–5 times/wk.
2–3 times/wk.
1 time/wk.
2–4 times/mo.
0–1 times/mo.
2.
Downtown
3.
West Mall
(1)
(2)
(3)
(4)
(5)
(6)
(1)
(2)
(3)
(4)
(5)
(6)
(1)
(2)
(3)
(4)
(5)
(6)
B. How Much the Respondent Spends during a Trip to Each Area (Variables 4–6)
4.
Springdale Mall
$200 or more
$150–under $200
$100–under $150
$ 50–under $100
$ 25–under $50
$ 15–under $25
less than $15
5.
Downtown
6.
West Mall
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(1)
(2)
(3)
(4)
(5)
(6)
(7)
8.
Downtown
9.
West Mall
(5)
(4)
(3)
(2)
(1)
(5)
(4)
(3)
(2)
(1)
(1)
(2)
(3)
(4)
(5)
(6)
(7)
C. General Attitude toward Each Shopping Area (Variables 7–9)
7.
Springdale Mall
Like very much
Like
Neutral
Dislike
Dislike very much
(5)
(4)
(3)
(2)
(1)
D. Which Shopping Area Best Fits Each Description (Variables 10–17)
10.
11.
12.
13.
14.
15.
16.
17.
Easy to return/exchange goods
High quality of goods
Low prices
Good variety of sizes/styles
Sales staff helpful/friendly
Convenient shopping hours
Clean stores and surroundings
A lot of bargain sales
Springdale
Mall
Downtown
West
Mall
No
Opinion
(1)
(1)
(1)
(1)
(1)
(1)
(1)
(1)
(2)
(2)
(2)
(2)
(2)
(2)
(2)
(2)
(3)
(3)
(3)
(3)
(3)
(3)
(3)
(3)
(4)
(4)
(4)
(4)
(4)
(4)
(4)
(4)
E. Importance of Each Item in Respondent’s Choice of a Shopping Area (Variables 18–25)
Not
Important
18.
19.
20.
21.
22.
23.
24.
25.
Easy to return/exchange goods
High quality of goods
Low prices
Good variety of sizes/styles
Sales staff helpful/friendly
Convenient shopping hours
Clean stores and surroundings
A lot of bargain sales
(1)
(1)
(1)
(1)
(1)
(1)
(1)
(1)
(2)
(2)
(2)
(2)
(2)
(2)
(2)
(2)
Very
Important
(3)
(3)
(3)
(3)
(3)
(3)
(3)
(3)
(4)
(4)
(4)
(4)
(4)
(4)
(4)
(4)
(5)
(5)
(5)
(5)
(5)
(5)
(5)
(5)
(6)
(6)
(6)
(6)
(6)
(6)
(6)
(6)
(7)
(7)
(7)
(7)
(7)
(7)
(7)
(7)
F. Information aboutt the Respondent (Variables 26–30)
26. Gender: (1) = Male
(2) = Female
27. Number of years of school completed:
(1) = less than 8 years
(3) = 12–under 16 years
(2) = 8–under 12 years
(4) = 16 years or more
28. Marital status: (1) = Married (2) = Single or other
29. Number of people in household:
persons
30. Age:
years
Each respondent in this database is described by 30 variables. As an example of their interpretation, consider row number 1.
This corresponds to respondent number 1 and contains the following information.
Variable number 6 = 7. The
respondent usually spends less
than $15 when she
shops at West Mall.
Variable number 26 = 2. The
respondent is a female.
5556774441131111167765667232421
Variable number 1 = 5.
The respondent shops at Springdale Mall 2–4 times/month.
Variable number 19 = 7.
Respondent believes “high quality
of goods” is very important in
choosing a shopping area.
*Source: Materials for this case have been provided courtesy of The Archimedes Group, Indiana, PA. Data are based on actual responses
obtained to this subset of the questions included in the survey; town and mall identities have been disguised as well as a number of
responses were updated.
A
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SPRIFREQ DOWNFREQ WESTFREQ SPRSPEND DOWSPEND WESSPEND
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3
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4
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5
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2
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4
4
7
5
3
4
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7
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7
3
6
5
5
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5
6
6
5
6
6
7
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A
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F
4
4
6
4
5
5
5
3
5
5
4
6
6
3
2
3
3
3
2
1
1
2
3
4
3
3
5
1
6
2
3
3
6
1
2
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1
5
1
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2
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1
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2
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1
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1
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1
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1
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2
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SPRILIKE DOWNLIKE WESTLIKE BSTEXCHG BSTQUALI BSTPRICE BSTVARIE
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2
4
3
3
1
3
1
2
1
3
1
4
2
3
3
2
4
1
4
2
1
3
3
4
2
2
1
1
2
1
2
1
2
1
4
3
3
2
1
4
4
1
2
3
1
3
2
3
1
3
1
3
1
1
3
3
2
4
4
3
4
1
2
3
2
4
3
3
3
2
3
3
3
4
4
3
4
2
2
1
1
3
3
4
1
4
1
2
2
1
1
3
3
4
1
2
1
3
2
3
1
4
4
4
4
2
4
1
1
1
2
2
2
1
4
1
2
1
2
2
2
2
1
3
4
2
1
3
1
3
4
2
1
3
1
4
1
4
2
1
2
1
3
4
2
3
1
1
1
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
G
H
I
J
K
L
M
2
2
1
4
2
4
4
3
3
4
3
1
3
1
1
2
5
4
5
5
5
4
4
4
4
4
4
5
4
5
4
5
4
5
5
5
5
4
4
4
4
4
4
4
2
5
3
4
5
4
4
5
3
1
2
5
2
4
3
4
3
3
4
3
4
4
2
3
3
3
3
3
4
5
3
4
4
4
4
4
5
3
3
5
3
4
5
2
1
5
4
5
2
1
2
2
4
4
3
3
4
3
3
4
5
4
5
3
1
4
4
1
4
4
3
4
2
2
3
3
2
1
1
2
3
3
2
4
2
4
2
4
1
4
3
4
4
2
4
1
2
3
2
2
4
2
2
1
1
4
4
4
1
1
1
1
3
4
1
1
1
1
1
1
1
2
3
3
1
3
4
3
4
3
3
4
2
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
2
1
1
2
1
3
3
2
3
2
2
1
2
1
2
2
1
4
1
3
1
3
3
3
3
3
3
2
3
3
1
3
3
3
3
1
3
3
1
2
2
3
3
1
3
3
1
3
4
1
3
3
4
3
1
1
2
2
2
3
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
G
H
I
J
K
L
M
4
3
5
4
3
4
4
3
3
5
5
5
5
5
4
3
4
4
4
5
5
5
5
1
4
5
5
3
4
3
2
3
4
3
4
4
3
5
4
3
1
3
3
5
4
3
5
4
4
5
4
5
3
3
2
5
1
3
4
3
5
3
4
4
3
2
5
3
4
4
5
3
2
2
4
4
4
5
2
1
4
4
3
3
1
1
1
4
4
4
3
3
1
2
1
1
3
3
3
2
1
4
3
4
1
1
1
2
1
1
4
2
1
1
1
2
4
2
4
1
4
2
2
1
1
1
2
1
1
2
3
1
1
1
1
2
2
2
1
2
3
1
3
3
3
3
3
1
4
2
2
3
3
3
3
2
3
3
3
3
3
3
3
3
1
1
4
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
2
N
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
O
P
Q
R
S
T
BSTHELP BSTHOURS BSTCLEAN BSTBARGN IMPEXCH IMPQUALI IMPPRICE
1
1
1
1
6
7
7
2
3
1
3
7
7
7
1
4
1
1
7
7
7
4
1
1
4
6
7
7
1
1
1
2
7
7
7
1
1
1
3
3
7
7
2
1
1
3
4
6
7
4
1
1
3
7
7
7
1
1
4
1
7
5
5
1
1
1
1
7
7
7
2
4
4
3
5
7
7
1
1
1
3
5
6
6
4
1
1
1
7
7
7
4
1
1
2
7
7
7
1
3
1
3
7
7
7
2
1
1
4
1
4
4
4
4
1
3
2
7
7
3
3
1
3
7
7
7
2
2
1
2
7
7
7
1
1
1
2
1
1
1
4
1
1
4
3
4
5
4
1
1
2
6
6
6
1
1
1
1
5
6
7
2
1
1
2
5
6
1
1
1
1
4
5
7
7
2
1
1
1
1
1
1
1
1
1
1
7
7
7
2
1
1
1
7
6
7
4
1
1
3
4
7
7
2
1
4
4
5
7
7
1
1
1
2
5
7
7
4
4
3
3
3
7
7
4
1
1
1
7
7
7
2
1
1
2
5
7
7
2
2
1
2
1
1
7
2
2
1
2
6
7
7
1
1
1
1
7
7
7
1
3
1
1
6
6
7
4
1
1
1
7
7
7
4
3
2
4
7
7
7
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
N
O
P
Q
R
S
T
4
1
2
1
2
2
4
4
2
3
1
3
2
3
3
4
1
2
2
1
1
1
1
2
2
4
1
4
4
4
2
1
2
1
2
4
3
1
2
4
1
1
1
2
1
1
1
1
1
1
3
3
2
4
4
2
4
3
3
1
2
4
4
3
4
3
3
3
2
4
4
4
4
1
4
1
3
4
4
3
1
2
1
1
2
1
1
1
4
1
3
4
2
1
2
3
1
3
2
2
1
4
2
2
4
2
4
2
3
1
2
1
1
1
1
2
1
3
1
4
2
3
2
3
3
2
1
3
2
4
1
1
3
2
1
1
1
1
3
3
2
3
1
2
2
1
4
3
1
4
4
2
2
4
3
4
3
3
4
4
4
3
3
4
4
7
3
6
7
5
1
6
5
7
6
6
7
2
4
3
2
1
4
7
4
4
6
2
3
7
2
3
3
5
7
4
1
4
5
6
3
2
7
1
1
7
7
7
5
6
7
7
7
1
7
2
2
1
1
5
2
2
2
5
3
7
2
7
2
4
2
5
7
2
2
1
5
2
4
3
5
6
3
1
5
5
7
7
7
7
7
7
7
7
4
7
7
7
6
6
7
5
6
5
5
7
1
2
6
2
3
5
4
3
5
2
7
3
1
1
5
6
1
6
3
6
5
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
N
O
P
Q
R
S
T
2
1
2
2
1
4
4
1
2
2
2
1
4
3
1
3
1
1
1
1
2
1
2
1
1
1
1
4
3
1
4
2
2
2
1
2
2
1
1
2
1
3
3
3
2
2
4
1
4
2
2
3
2
2
3
3
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
4
4
2
4
2
3
4
4
3
2
4
1
1
1
4
4
2
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
2
1
4
4
2
4
2
2
4
1
4
2
2
4
4
1
3
3
2
3
3
1
3
1
1
3
4
4
4
1
1
2
1
2
3
1
3
1
1
2
7
3
2
1
3
5
3
6
6
2
1
1
4
2
1
1
7
6
4
5
6
2
5
3
5
7
3
5
5
7
7
7
6
5
4
7
7
7
7
4
7
4
4
2
5
1
7
4
1
5
6
5
5
2
2
2
7
6
6
7
3
7
7
7
7
5
7
7
6
7
7
5
7
7
7
7
7
7
7
7
7
6
1
3
5
2
2
1
6
2
4
7
2
4
6
2
2
3
7
6
6
4
5
6
7
7
6
7
7
7
7
4
7
7
7
7
7
5
7
7
6
6
7
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
N
O
P
Q
R
S
T
1
1
1
4
4
1
4
1
4
2
1
1
3
3
3
1
1
1
1
1
1
1
1
2
4
1
3
2
1
1
3
4
4
1
3
4
1
1
3
1
1
3
3
1
1
3
2
1
1
1
1
3
1
1
1
3
1
1
1
4
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
4
1
1
2
3
1
1
1
3
2
3
1
1
2
2
3
1
3
3
2
3
3
2
3
1
1
2
3
1
1
3
3
7
6
7
7
1
1
7
7
5
6
7
7
6
2
7
3
7
2
7
6
7
7
5
7
7
3
3
7
7
7
7
7
4
1
5
7
3
7
7
7
6
6
6
5
6
7
7
7
7
7
7
7
7
4
7
7
3
7
7
7
5
7
7
7
4
7
7
5
7
7
7
6
7
7
7
7
7
4
7
7
7
5
7
4
U
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
V
W
X
Y
Z
AA
IMPVARIE IMPHELP IMPHOURS IMPCLEAN IMPBARGN RESPGEND RESPEDUC
6
5
6
6
7
2
3
7
7
7
7
6
2
3
5
4
5
3
7
1
3
6
6
5
6
7
2
3
7
7
7
7
7
2
3
6
5
6
5
6
2
3
5
3
6
4
5
2
1
6
7
7
7
7
2
3
7
6
7
7
6
1
4
7
7
7
7
7
2
4
5
5
4
4
5
2
3
5
5
6
6
7
2
1
6
4
4
6
5
2
3
7
7
7
5
6
2
3
6
4
6
3
6
1
3
6
2
3
4
1
1
3
6
4
3
3
6
2
4
7
4
4
3
6
2
3
7
5
6
6
5
2
3
1
1
1
1
1
2
3
4
6
4
4
5
1
4
6
5
7
6
7
1
4
7
2
5
3
6
2
3
1
6
1
6
5
1
3
6
6
5
6
7
2
3
2
3
2
4
3
1
3
5
5
4
7
4
1
3
6
6
6
5
6
1
3
5
5
7
7
7
1
3
6
4
2
3
5
2
3
5
5
4
4
5
1
3
6
7
6
6
6
2
3
7
7
7
5
7
2
3
7
6
5
5
6
2
3
7
6
7
2
7
2
3
6
6
3
5
6
1
3
7
7
7
7
4
2
3
3
5
5
7
4
1
4
7
4
7
7
7
2
4
7
4
7
7
7
2
2
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
U
V
W
X
Y
Z
AA
5
5
3
6
6
6
5
6
5
1
3
2
1
1
6
7
3
4
1
5
2
7
3
3
2
6
2
7
3
1
2
6
4
1
6
3
3
5
5
2
5
4
3
1
4
7
5
3
6
4
6
5
5
4
4
1
5
6
7
4
4
1
6
6
4
2
3
5
6
4
3
6
4
4
1
5
6
3
1
6
7
2
6
5
2
6
6
7
3
5
5
7
7
2
6
3
1
5
7
2
1
5
1
3
5
5
3
5
1
1
6
6
5
1
3
6
7
6
6
7
7
2
3
4
5
3
5
7
6
3
7
7
2
2
1
6
6
2
2
6
4
1
3
3
4
3
4
2
3
1
7
2
2
6
5
4
4
3
5
3
6
1
1
3
7
4
7
5
5
7
5
7
7
2
5
2
3
1
5
6
4
3
2
6
6
1
7
7
1
7
1
1
7
2
1
7
5
1
4
6
6
1
5
7
4
2
2
1
2
1
2
1
2
1
1
2
1
1
2
2
1
1
2
1
1
1
1
2
1
1
1
2
2
1
2
1
1
2
1
1
1
1
1
1
1
1
2
4
4
3
3
4
4
2
3
1
4
3
1
3
4
4
1
2
2
3
1
3
2
2
1
2
2
4
2
1
3
2
3
1
1
1
2
2
1
1
4
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
U
V
W
X
Y
Z
AA
3
1
4
4
5
3
3
6
6
3
7
1
1
7
3
2
7
7
7
3
7
7
6
6
5
5
6
4
6
4
5
7
6
7
4
7
4
7
5
7
7
2
5
2
5
1
1
5
7
5
3
1
6
6
6
2
2
7
6
6
1
6
5
4
2
3
6
7
4
7
7
6
7
6
7
3
6
1
6
7
5
7
6
1
4
4
4
7
6
5
5
7
5
2
6
1
3
1
7
6
6
1
6
3
6
5
4
6
5
7
5
6
6
7
6
5
6
7
7
7
6
7
6
5
7
1
4
6
2
6
2
1
3
3
7
3
2
5
1
6
6
7
1
6
6
5
5
5
7
6
6
5
7
6
7
6
5
4
7
2
7
7
6
5
4
5
1
3
4
7
7
5
1
7
4
4
7
1
5
1
7
6
6
4
6
6
7
5
7
5
6
7
6
1
6
5
6
4
6
5
7
4
7
6
6
2
1
1
2
1
1
2
2
2
2
1
2
2
1
1
2
1
2
2
2
2
2
2
2
2
2
1
1
1
1
1
2
1
2
1
1
1
2
2
2
1
2
3
4
2
2
1
1
3
1
3
2
3
3
2
3
1
1
2
2
3
2
2
3
2
2
2
2
4
3
4
3
2
3
3
3
4
2
4
2
3
4
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
U
V
W
X
Y
Z
AA
7
6
7
7
3
6
7
7
4
5
6
6
5
5
5
3
5
6
5
6
6
7
5
1
7
5
7
5
7
4
7
7
5
6
7
7
5
7
5
6
5
4
6
3
4
1
5
6
7
7
5
1
7
4
6
7
7
6
6
7
5
3
4
6
7
1
7
6
6
3
6
7
5
4
5
6
7
7
6
1
6
4
7
6
7
4
7
7
3
6
7
6
7
4
7
6
4
5
5
7
4
1
5
3
7
7
5
7
6
6
2
4
5
7
7
7
5
4
6
6
4
5
7
6
4
6
7
6
6
2
7
5
6
4
7
7
5
5
7
3
1
2
2
2
1
1
2
1
2
2
2
2
2
2
1
1
2
2
2
2
1
2
2
2
2
1
1
2
4
4
1
4
4
4
2
4
3
3
4
2
3
3
2
3
3
3
3
3
2
4
2
4
4
2
3
2
AB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
AC
AD
RESPMARI RESPHOUS RESPAGE
2
4
21
2
5
21
2
5
18
2
7
20
2
4
19
2
2
19
2
4
19
2
1
20
2
2
44
2
3
29
2
4
20
2
6
17
2
5
19
2
4
20
2
4
21
1
1
20
2
1
23
2
5
18
2
4
20
2
6
17
1
1
24
2
2
21
2
3
19
2
1
18
2
1
20
2
4
19
2
2
21
2
4
19
2
5
21
2
4
20
2
3
19
2
5
21
2
3
19
2
4
19
2
8
18
2
3
28
1
3
41
1
4
37
1
2
24
1
7
49
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
AB
AC
AD
1
1
2
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
2
2
1
2
2
1
1
1
2
1
2
2
1
3
2
1
6
3
3
4
1
3
1
1
2
5
4
1
5
1
1
2
4
5
1
3
1
2
1
6
5
5
5
5
1
2
7
3
6
1
3
2
1
4
37
24
22
40
46
32
36
70
20
44
79
36
30
23
37
23
55
55
47
39
25
54
46
49
35
34
22
78
60
69
19
59
64
38
58
57
59
18
44
38
48
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
AB
AC
AD
2
1
1
1
2
2
2
1
2
1
2
1
1
2
1
2
1
1
2
2
1
2
1
2
2
1
2
1
2
2
2
1
2
1
2
1
2
2
1
2
2
7
7
1
5
2
2
5
4
3
1
2
6
2
4
4
7
3
2
3
2
4
2
4
1
1
4
1
3
3
1
1
2
1
4
6
6
3
1
7
5
3
24
77
45
71
61
45
80
33
22
39
74
49
52
46
72
64
35
24
31
26
27
18
29
66
20
27
22
25
19
21
65
66
24
32
20
59
27
27
42
21
28
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
AB
AC
AD
2
2
1
2
1
2
1
1
1
1
1
2
2
2
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
2
1
2
1
5
4
5
2
4
4
1
4
5
4
4
1
6
2
2
1
3
7
3
6
3
6
28
26
36
53
61
25
31
50
35
70
22
25
21
23
39
33
37
18
33
21
65
22
31
53
36
57
33
44

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