MKT450 Los Angeles Southwest College Venmo Project checklist Presentation Project checklist Keep in mind that the PowerPoint presentation is the only thing

MKT450 Los Angeles Southwest College Venmo Project checklist Presentation Project checklist Keep in mind that the PowerPoint presentation is the only thing that you will be turning in (along with your data and sample survey or observation form) so it must be a comprehensive treatment of your project. The items mentioned below should be performed with some degree of detail and you should add enhancements like photos of the subject of your research to make the presentation engaging. For maximum credit your project MUST include: Ttest, ANOVA and Regression.

hello

I did survey and my teacher want hypothetically and more details you will see in the files.

I need this work from person who is professional in a marketing research and all the details will be on the files.

also I need Word file that you explain to me each point you did Mkt 450 Market Research
Project checklist
Keep in mind that the PowerPoint presentation is the only thing that you will be turning in (along with your data and
sample survey or observation form) so it must be a comprehensive treatment of your project. The items mentioned
below should be performed with some degree of detail and you should add enhancements like photos of the
subject of your research to make the presentation engaging. For maximum credit your project MUST include: Ttest, ANOVA and Regression.
1) Introduction: State the business problem and then state the business problem as a market research problem,
(refine it to something you can actually research).
a.
Include discussion of the background of the problem.
b.
Include photos of the subject of the project. Embed photos elsewhere in the presentation to make it
more interesting to the audience.
2) Hypotheses (in Results each hypothesis is answered with a statistical test). The hypotheses should be
responding to the research problems you identified.
a.
After stating the hypotheses, state what specific things you need to measure in order to answer the
hypotheses.
b. And state other things you are including such as demographics but always remember the rule: Don’t
ask something in a survey unless you need to know the answer.
3) Data Collection.
a.
Discuss your data collection instrument (survey or observation form). Include a copy of it in the
presentation and discuss each item.
b. Discuss how the data was collected (specify the population, sampling method, etc.).
4) Results
a.
Start with descriptive statistics such as number of people, breakdown of m/f, ages, etc.
b. Repeat the hypotheses and Answer hypotheses using statistical tests. For a T-test give the mean
scores that you are comparing, write “T=
Sig.=
.” Do the same for whatever statistical
tests you performed.
c.
The ONLY proper way to answer a hypothesis is to say: “The hypothesis was supported” or “The
hypothesis was not supported.” NEVER say “proves” or”
d.
was caused by
.”
Make the presentation optimal in style and substance. Don’t put too much on each slide. Remember
the perspective of someone witting at the back of the room; words and graphics must be big. Use
the best method of presentation (think about what you are saying with a bar chart, pie chart, table,
etc.)
e.
Use all of the data you collected; discuss whatever is interesting even if it is not a hypothesis
5) Conclusions
a.
State limitations; there are always limitations.
b. How do your results address the original business problem? You should be giving actionable advice to
resolve the original business problem.
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171
172
173
174
176
177
179
111
112
113
115
116
119
123
125
128
129
130
142
143
144
145
147
148
150
31
32
33
34
36
37
38
40
94
96
98
282
285
288
289
311
312
313
314
315
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1
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1
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1
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3
3
3
4
5
5
3
7
5
4
1
3
5
6
7
6
6
3
5
5
4
5
1
2
5
3
3
2
4
5
2
1
2
5
1
4
6
3
2
1
3
1
1
3
1
2
5
4
6
5
3
2
5
2
1
6
3
7
4
2
7
1
1
3
6
7
7
6
5
2
6
6
1
4
3
2
5
7
2
6
5
7
7
7
6
6
6
7
7
6
5
7
4
6
7
6
2
4
5
6
2
5
6
3
6
5
6
7
5
5
7
2
1
1
1
1
1
2
3
0
0
1
2
1
4
2
5
2
10
1
2
3
2
2
2
1
2
1
3
4
1
0
2
1
4
2
1
2
1
1
0
5
1
0
2
3
0
2
35
10
10
65
10
10
10
15
0
0
10
15
5
25
5
10
45
150
10
20
55
40
0
20
100
200
1
40
100
50
10
20
25
30
50
150
25
5
30
0
25
20
20
80
20
0
40
7
6
6
2
6
5
4
5
6
7
5
5
4
7
3
1
3
6
5
5
4
4
5
5
6
6
7
6
5
6
3
3
7
7
7
4
5
5
3
3
7
3
3
6
4
7
7
7
4
5
6
5
4
3
2
2
4
3
3
4
5
7
3
5
5
4
3
3
2
3
3
6
1
6
3
3
6
5
4
7
6
7
6
6
5
3
6
2
3
4
7
3
5
7
5
2
2
6
5
7
6
1
2
5
2
2
5
6
6
2
7
4
5
4
5
2
3
4
5
6
7
3
1
5
4
5
5
5
6
3
5
3
4
4
2
4
3
7
3
5
5
4
2
1
6
5
4
5
3
2
5
5
5
6
4
4
5
2
6
3
4
3
2
3
3
6
3
7
5
4
7
6
4
7
6
5
4
5
3
4
6
1
3
5
7
4
3
6
4
4
4
6
6
5
5
1
6
4
2
2
1
3
2
3
4
5
4
5
5
7
4
3
5
7
7
3
7
6
4
4
4
2
4
6
4
5
5
3
7
2
6
6
3
6
4
6
3
4
6
7
4
3
7
3
4
3
3
2
4
5
3
7
4
3
3
4
1
3
1
6
1
1
7
2
6
5
3
4
6
6
3
4
4
4
6
2
3
5
7
4
7
4
7
4
5
5
6
4
5
6
4
4
4
4
6
7
7
5
1
6
7
4
4
5
4
5
6
7
5
2
6
5
4
2
6
5
4
3
7
5
4
4
2
5
3
6
5
5
5
1
0
4
3
1
2
1
1
0
3
2
0
0
0
2
0
2
1
0
2
0
0
3
1
1
4
1
1
6
2
1
0
6
5
0
0
1
0
0
0
3
0
1
20
20
1
10
10
0
30
20
10
30
10
50
0
70
10
0
0
5
20
0
20
10
0
10
0
0
150
60
10
5
1
20
35
20
5
0
20
17
0
0
120
0
0
0
60
0
10
200
150
5
15
5
2
5
4
4
4
5
7
6
5
2
6
6
5
4
6
1
7
7
4
7
7
5
5
5
5
5
3
7
5
6
7
3
5
7
5
5
3
5
4
6
5
7
7
7
6
6
3
6
6
7
3
5
2
4
2
4
2
4
4
3
2
5
6
6
6
1
2
2
6
5
3
6
6
3
1
2
3
1
5
7
3
3
5
7
4
4
3
4
3
4
2
3
4
1
7
3
4
4
2
2
5
2
4
1
2
3
2
1
4
6
6
6
1
3
4
5
6
5
5
5
3
1
4
4
5
6
3
3
3
4
6
4
4
2
3
3
1
3
3
4
6
7
6
5
5
2
4
3
2
4
2
2
3
3
4
4
6
6
6
1
2
2
6
7
4
4
4
5
1
4
4
3
6
4
1
3
5
7
5
4
2
3
3
1
2
4
5
4
1
4
1
1
3
5
4
5
5
3
5
6
5
5
6
3
5
3
4
5
4
6
7
3
6
4
5
7
4
1
2
4
3
7
4
6
4
6
4
6
6
7
7
7
5
4
3
7
4
5
3
6
3
2
2
6
2
2
1
2
1
4
7
7
6
1
2
3
7
7
5
6
4
5
1
4
3
2
3
2
1
3
4
5
3
4
2
2
3
3
2
3
5
2
3
6
4
3
4
6
7
6
5
7
5
6
4
3
7
7
5
7
5
7
6
7
4
6
7
6
4
4
4
5
4
4
6
4
2
5
6
7
4
3
7
7
4
2
5
5
0
0
6
5
4
5
6
4
3
Q8
Q9
3
3
1
1
1
1
1
1
5
6
3
1
4
3
2
4
4
2
4
1
3
4
1
2
1
1
3
5
6
5
5
4
3
3
6
5
3
4
1
6
1
3
3
4
5
6
Q10
2
2
1
1
3
1
5
6
6
4
2
2
3
3
5
6
2
1
3
1
2
5
3
6
1
1
4
5
4
4
4
3
4
3
5
5
2
3
1
3
1
4
5
4
3
4
Q11
4
4
4
6
6
7
3
4
3
6
5
4
5
7
3
6
5
6
5
6
3
5
3
7
4
4
5
6
6
6
5
5
6
5
6
5
4
5
4
7
7
6
6
5
7
7
Q12
3
3
1
3
4
5
6
5
5
7
3
2
5
7
4
5
4
4
3
1
1
5
3
3
1
1
3
5
5
5
5
4
6
5
5
5
5
5
2
5
3
6
6
7
7
7
Q13
5
4
1
1
3
6
4
4
5
6
4
5
6
7
5
5
3
2
5
1
2
4
3
5
1
1
3
4
4
4
4
5
6
4
7
7
4
5
4
4
3
5
4
6
5
6
Q14
5
4
4
1
3
3
3
2
1
2
1
5
4
3
4
2
1
2
3
2
2
3
3
1
4
1
5
2
3
3
4
3
3
3
4
5
2
2
1
3
2
4
2
3
5
6
Q15
3
3
4
3
5
4
5
5
2
3
4
5
5
6
5
6
4
6
3
1
7
4
4
5
1
5
4
4
5
5
4
5
5
5
4
4
4
2
6
2
6
2
1
1
2
1
Q16
5
2
1
1
3
2
3
3
5
3
3
3
3
5
3
6
4
1
4
1
3
4
3
5
1
1
3
5
4
5
3
3
3
5
5
4
5
4
1
5
1
7
7
6
5
6
4
2
2
4
5
1
5
6
4
3
5
2
4
5
1
6
5
4
2
1
3
4
4
5
1
1
5
5
6
5
5
4
5
5
5
4
4
5
1
6
4
2
2
3
2
7
5
2
1
1
2
2
2
2
4
2
2
4
5
4
2
6
3
5
5
6
2
2
3
3
4
3
3
3
3
2
3
5
3
1
3
6
3
3
7
5
1
4
4
6
4
2
4
5
3
2
5
1
4
3
3
3
2
6
3
5
4
1
6
5
7
3
7
3
3
2
2
3
3
2
1
3
2
5
3
2
2
4
5
2
4
6
3
4
3
4
7
1
6
3
6
6
6
6
6
5
4
6
2
4
1
3
6
2
1
5
6
7
7
7
5
5
4
6
5
5
4
6
5
6
5
1
3
5
4
5
4
6
6
5
7
6
5
5
6
4
6
4
4
5
6
6
2
4
5
5
1
6
2
7
3
1
6
4
7
3
6
2
4
5
4
2
4
2
4
2
6
6
5
3
2
2
6
3
3
6
4
7
5
5
6
1
7
2
3
2
1
1
5
1
2
2
6
5
6
4
3
2
2
5
6
7
5
7
3
3
2
2
1
3
2
3
4
6
7
2
4
2
3
5
3
12
7
2
7
6
6
7
7
6
2
6
7
6
5
5
4
2
1
6
7
4
5
3
5
6
1
5
7
3
7
2
2
1
1
1
2
2
1
4
2
2
1
5
3
4
6
3
2
5
2
1
4
3
1
1
2
2
1
1
1
1
1
2
6
6
3
2
3
3
6
3
4
3
2
6
4
7
5
6
6
5
7
5
6
6
2
6
5
5
3
4
3
3
5
4
6
5
7
5
6
7
1
4
6
6
3
4
6
6
6
3
1
3
2
6
6
6
5
1
3
6
4
4
7
2
2
2
1
1
1
1
2
2
5
6
3
2
2
2
4
4
4
5
2
7
5
4
6
1
5
3
6
5
4
5
6
2
5
2
4
1
4
4
6
4
1
3
6
7
2
3
4
5
5
5
4
6
6
5
2
4
2
3
2
2
3
4
4
4
6
4
2
6
5
6
1
5
3
6
2
1
1
6
1
5
2
4
5
2
2
3
4
4
3
8
5
1
5
6
5
5
3
6
6
7
3
2
7
3
3
3
7
3
6
3
3
4
3
1
6
5
5
4
3
7
5
2
1
1
5
5
2
1
4
3
2
1
1
1
3
5
3
3
1
3
5
5
4
1
6
6
7
1
5
7
4
5
3
4
5
7
2
3
5
2
1
5
3
5
5
3
7
5
4
6
7
5
4
4
2
4
4
1
1
1
2
1
4
5
4
7
5
6
4
3
7
6
7
7
5
7
6
3
6
5
7
6
3
6
5
6
4
3
6
5
3
6
5
7
6
3
3
2
6
5
6
1
6
5
3
4
5
4
3
3
4
5
1
5
3
5
4
6
6
6
7
4
3
5
4
7
4
3
3
4
3
5
4
4
5
7
6
5
5
1
4
7
4
2
5
7
4
4
4
6
4
4
4
4
5
6
3
3
2
2
5
2
7
2
7
6
7
7
4
6
5
3
4
6
6
6
7
4
5
5
4
4
6
3
7
5
1
5
4
2
2
2
2
6
4
2
4
4
4
3
3
5
5
2
7
2
1
3
4
4
5
5
6
4
1
4
2
6
4
5
1
1
4
3
2
3
4
3
2
4
3
6
3
1
6
5
5
1
5
5
5
5
6
6
4
5
5
6
7
3
2
7
4
6
4
5
4
2
6
5
5
7
4
3
7
6
4
6
4
6
4
5
6
3
5
5
4
4
7
5
7
6
5
5
1
5
6
5
6
4
6
5
6
6
5
7
7
2
1
6
1
5
5
3
5
6
5
5
6
6
2
6
5
5
5
7
3
7
4
4
4
4
3
6
5
6
4
1
5
5
7
1
4
6
4
1
5
6
5
5
4
2
2
5
2
2
4
2
4
4
5
4
3
5
6
6
2
2
6
3
6
5
7
3
7
4
5
5
4
5
5
3
6
5
3
7
1
5
2
5
6
3
2
5
4
5
5
4
1
2
4
7
3
4
7
4
2
2
7
5
6
6
4
4
1
6
4
7
1
3
1
1
4
3
5
4
2
3
3
1
2
2
4
6
5
1
1
1
4
2
3
3
3
3
3
2
3
3
4
7
5
7
3
7
6
6
5
7
5
4
6
2
2
2
1
6
4
1
1
5
6
3
4
2
5
3
1
2
2
5
3
6
1
1
1
2
4
7
5
6
5
5
5
4
1
7
7
4
7
4
2
3
6
7
4
6
7
5
4
4
1
1
5
2
7
2
5
5
7
4
3
6
7
7
6
4
7
6
7
5
4
2
5
2
6
3
4
4
4
1
3
7
3
7
5
7
3
2
2
6
7
6
7
7
4
2
5
4
5
4
5
1
1
6
5
2
4
4
3
3
1
2
2
4
6
7
5
6
5
3
4
6
5
7
5
5
6
2
7
3
7
5
7
3
2
1
6
7
4
5
7
1
1
5
5
4
3
3
1
1
5
6
3
4
4
7
3
7
6
2
5
2
1
4
5
2
2
2
1
3
3
4
2
6
1
4
2
1
3
7
1
2
2
4
6
6
6
4
5
2
3
3
7
5
5
7
2
4
6
4
4
3
2
3
5
4
4
4
4
7
7
4
5
4
2
7
4
3
4
6
1
5
3
3
5
6
3
5
6
5
5
5
4
5
4
4
4
5
5
6
3
2
1
1
4
4
2
4
5
7
2
1
2
4
5
6
7
7
7
5
5
2
5
3
6
5
4
6
2
6
2
5
6
5
3
4
3
4
6
6
4
4
6
1
5
5
6
4
4
1
1
5
6
3
4
4
7
2
5
2
2
6
5
5
3
4
4
3
3
7
5
5
3
2
6
2
1
2
4
6
5
5
3
4
4
6
5
7
6
4
3
5
4
7
3
2
1
1
5
3
4
4
4
6
2
5
5
1
7
2
4
3
3
4
4
5
6
5
Q17
Q18
2
2
3
1
3
1
6
3
5
6
6
2
4
4
5
2
3
4
3
1
2
5
6
6
4
7
4
4
6
5
5
5
5
5
5
5
3
3
6
5
4
6
6
5
6
5
Q19
7
6
4
7
6
3
7
6
3
4
1
6
1
5
4
6
1
5
2
2
5
7
5
3
5
1
4
3
3
3
4
3
2
3
4
2
4
4
1
4
6
1
2
2
1
3
Age
5
4
3
5
3
4
2
7
2
3
4
4
4
3
4
6
7
6
3
4
6
4
4
2
2
7
5
4
5
4
5
5
4
4
5
2
4
4
6
6
6
5
3
6
6
7
21
21
21
21
19
21
22
18
21
21
22
23
21
20
20
20
22
20
22
19
21
20
21
20
21
20
21
22
22
21
20
20
23
21
22
24
20
22
24
22
19
21
21
21
22
22
Moneyspent
Gender
2
2
1
2
2
3
3
1
3
3
3
2
2
3
1
2
1
1
2
2
2
2
3
2
1
3
1
2
3
3
1
2
2
2
1
1
1
2
2
2
2
2
2
2
3
3
1
2
2
2
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
2
1
2
1
1
2
2
2
1
1
1
2
2
2
1
1
2
1
1
1
2
1
Wherelive
1
1
1
1
2
2
2
2
2
2
2
2
2
2
1
1
2
2
2
2
1
2
1
2
2
2
1
1
2
1
1
2
2
1
1
1
1
2
2
1
1
2
2
2
1
1
Venmover Compulsive
3.666667
3.5
2.666667
3.25
1.166667
2
1.833333
3.75
3.166667
4
2.666667
3.25
4
4.5
4.166667
5.25
5
4.5
4.833333
3.25
3.333333
6
2.5
4.5
4.166667
3
5
5.75
3.333333
2.5
5.333333
4
3.666667
3.25
2.333333
2.5
3.5
4
1
3
2.333333
2.75
4.333333
4.5
2.833333
3.5
4.333333
6.5
1
6.5
1
1.25
3.5
4
4.833333
4
4.833333
3.25
4.666667
3.5
4.333333
3.75
3.833333
2.75
4.5
4.25
4.166667
3.25
5.5
4
5
5
3.833333
3.5
4.333333
4
1.666667
1.25
4.833333
3.25
2.166667
3.5
4.5
4.75
4.5
4.5
5
4.75
4.5
5.25
6
4.75
5
4
6
7
6
4
4
6
6
1
1
5
1
5
2
2
4
1
1
5
5
6
5
5
6
6
5
5
3
1
2
4
2
3
2
5
4
2
6
1
4
6
3
6
1
2
5
1
1
1
1
1
7
2
7
7
7
3
2
6
3
1
5
7
1
5
1
3
3
2
3
2
2
1
2
6
4
3
6
6
5
5
5
3
3
5
4
4
6
5
1
1
7
3
6
5
7
7
7
7
4
7
7
6
2
5
6
6
1
6
5
1
4
1
6
7
6
6
6
7
7
7
5
3
4
2
4
6
5
7
3
7
6
4
1
5
6
4
1
7
3
21
21
21
22
22
19
20
22
20
20
23
29
28
23
22
22
22
17
22
22
22
20
19
22
23
24
22
21
21
25
21
21
21
23
21
26
21
21
22
19
20
19
18
19
30
19
24
3
1
3
1
2
2
3
2
2
1
2
3
3
1
1
2
2
2
1
1
3
1
3
1
1
1
3
3
1
2
2
3
3
2
2
2
1
1
2
2
3
2
2
3
3
2
3
2
2
2
1
1
1
2
1
1
2
2
2
2
1
2
2
2
1
1
1
1
2
2
1
2
1
1
2
2
1
2
2
2
1
2
2
1
2
2
2
2
1
1
1
1
2
1
2
2
1
2
2
2
1
2
2
1
2
2
2
2
1
1
2
1
2
1
2
2
1
2
2
2
2
2
1
2
1
2
1
1
2
2
1
1
2
2
2
1
1
1
2
1
2
4.833333
3.166667
2.833333
4
4.333333
2.833333
3.166667
2.5
4.166667
2.166667
5
3.833333
5.333333
3.666667
1.333333
4.833333
5
6.166667
3.666667
6
2.666667
3.166667
3.166667
2.833333
2.5
3.333333
2.666667
3
2.666667
4.166667
4.833333
3.5
2.666667
1.833333
2.833333
5
3.166667
5
6.166667
3.333333
4.666667
4.833333
4.666667
6.333333
2.5
5.166667
2.833333
3.75
4.5
5
4
4.75
1.75
2.5
3
4.25
2
3.25
4
5
2
2
3.75
4.5
5.5
5.5
6.5
2.5
1.75
1.25
2.75
1.75
1.75
1.75
2
2.5
6
4.5
6.25
4.5
3
3
5.5
3.25
1.75
5.75
3
5.5
4.25
3
6.75
1.5
2
3.5
4
5
1
1
5
6
3
2
6
3
2
2
3
5
4
2
3
5
5
5
4
5
5
2
6
2
6
5
4
7
5
3
5
5
5
5
3
5
5
4
3
5
4
5
4
5
5
4
4
2
4
4
5
5
3
4
3
1
2
3
1
3
1
3
5
3
4
4
5
7
1
5
1
7
5
2
7
4
3
4
5
6
7
1
3
4
4
5
4
5
4
4
1
5
6
6
5
2
6
4
3
7
4
4
4
4
2
5
2
1
5
4
4
3
4
6
7
5
5
3
7
3
5
7
5
5
2
2
7
5
4
5
4
3
6
5
4
5
5
4
5
19
20
21
25
20
24
20
18
22
19
19
20
19
22
20
18
19
21
20
22
21
20
21
26
23
34
28
36
22
22
27
26
18
20
20
25
20
19
19
20
21
24
24
24
24
19
20
2
2
3
2
1
1
2
2
2
2
2
2
3
2
2
2
3
3
3
2
1
1
1
2
2
2
2
1
3
1
2
1
2
3
3
3
3
1
1
2
2
3
2
3
2
3
1
1
2
1
1
1
1
2
1
2
2
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
2
2
2
1
1
1
1
2
2
1
2
2
2
2
2
1
1
2
1
1
2
2
2
1
1
1
1
1
1
2
1
1
2
2
1
2
2
2
1
2
2
1
2
1
2
2
2
1
2
1
2
2
1
2
2
2
5.666667
3.833333
1.5
3
6
4
4
2.833333
5.333333
4.5
3.666667
3.5
3.333333
3.833333
4.666667
3
3.5
4.166667
1.333333
4.5
4.166667
5
4
4.333333
5.666667
6
6.666667
3.333333
3.333333
6
3.666667
5
4.333333
5.666667
3.833333
6.333333
3.333333
4.166667
4.5
3.5
3.166667
5.833333
4.166667
5.666667
4.666667
2
5.833333
5.5
2.75
3
6
5.5
4.75
4.25
3.25
2.25
4.5
3.25
3.25
4.25
4.75
5.5
3.25
5.25
4.75
3.75
3.5
3.75
1.75
3
2.75
5.75
2.75
5.25
4.5
2.5
6
5
4
5.75
5.75
6
4
5
3.75
3.75
5.5
1.75
3.25
4.25
7
3.5
5
5.5
4
7
4
6
3
6
3
5
4
5
4
1
2
4
3
1
1
4
3
6
3
3
5
5
5
6
4
7
6
5
4
4
6
2
1
4
2
2
2
4
4
1
1
3
3
2
6
2
1
1
4
2
3
3
1
4
5
3
4
7
4
4
4
1
2
3
2
2
3
4
5
6
5
5
2
4
5
2
2
3
6
7
3
4
4
6
4
6
3
2
1
2
6
5
3
1
4
4
4
3
6
6
5
5
5
5
7
5
5
7
1
2
4
6
4
4
5
6
5
6
5
6
7
4
4
3
7
7
7
5
4
4
4
4
6
4
7
7
7
6
4
19
18
21
21
20
20
23
20
21
24
23
43
19
21
19
25
18
19
21
19
21
21
22
22
22
24
20
25
22
21
19
22
20
19
26
20
25
21
21
21
23
23
20
19
21
21
26
3
3
1
3
1
2
1
3
1
3
2
3
2
2
2
1
1
2
2
1
2
2
3
2
2
3
2
2
2
2
1
3
3
1
1
2
2
2
2
3
2
3
1
3
3
2
3
1
1
2
1
1
2
1
1
1
2
1
2
2
1
2
1
1
2
2
1
2
2
1
2
1
1
2
1
2
2
1
2
2
1
1
1
1
2
2
1
1
1
2
2
2
2
1
1
1
2
2
2
1
2
2
2
2
1
2
2
2
1
2
1
1
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
1
2
2
2
2
1
1
2
2
2
2
2
2
2
5
6
3.833333
4.5
3.833333
3.833333
2.5
5.333333
3.833333
5
4.166667
3.666667
3.666667
2.333333
4.666667
3.5
5.5
5.166667
6.333333
3.5
3.333333
3
5.5
6
5.666667
5.666667
5.333333
4.166667
1.666667
4.666667
4
5
3.5
3.5
1
1
5
4.833333
3.333333
4
3.333333
5.166667
2.666667
3.333333
3.166667
1.833333
5.166667
3.25
6.75
4.75
5.25
3.75
3.75
2.75
3.5
2
4.5
1.75
2.5
2.75
2.5
2
4.25
6.25
6.25
6
1
2.25
2.75
6
6.25
4.25
5.25
4.75
4
1
3.5
3.5
2.75
5
4
2
3
4.5
6.25
4
4
2.25
3
3
2.25
2.25
3.25
4.5
4
4
5
42
2
2
2
4
4.5
Compulsive

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