[SOLVED] University of Oregon Regression Model Questions – Business Finance

If the basic risk adjustment model were implemented without modification for the 138 potential members, what is the risk POInT will run out of funds? How much more money would need to be collected in premiums to ensure the risk of running out of money is less than 0.5%. What if POInT was willing to accept more risk – how much would need to be collected?Patient Owned Insurance Trust – POInT
Patient Owned Insurance Trust (POInT) is a new start-up healthcare insurance company developing
their business plan. The business model envisioned for POInT is to be patient-owned (much like a
credit union is member owned), non-profit health insurance provider. The key competitive advantage
for POInT is providing a simple, comprehensive, and relatively low-cost healthcare insurance plan.
The simplicity of the POInT plan for members is that regardless of their healthcare use/costs, they pay
only a monthly premium to POinT – there are no deductibles, co-payments, or coverage limitations.
This makes the plan drastically simpler for members as well as more comprehensive. By cutting the
overhead needed to deal with complexity of the insurance plans that their competitors offer, POInT
aims to both save costs and provide better services simultaneously. To further cut costs POInT aims
to keep insurance costs low by encouraging their members to make healthier life choices, such as
quitting smoking and reducing obesity. This will enable them to reduce the healthcare costs and pass
this savings back to the members since the trust is patient-owned.
Given that average annual health insurance cost for a family coverage plan in the US was recently
reported to cost $20,000 [1] , enthusiasm amongst the small management team was high. However,
despite this enthusiasm, the team needed analysts to develop a pricing model to make the whole idea
feasible.
After a quick but thorough search, the small management team have decided to hire two enthusiastic
young analysts, Jane and John, to work together in developing the pricing model and support decision
making. Jane and John know the premiums should be just high enough to cover patient healthcare
costs, but also that the pricing for members should be appropriately risk adjusted. This is because
healthier people are not generally willing to pay the same amount as patients who are less healthy, as
they would end up paying too much for their individual level of risk. However, a large pool of heathy
patients is necessary to ensure there is money available to pay for both low probably but costly
events for healthier patients as well as the less healthy patients. In other words, they need to
develop a risk-adjustment model that enables POInT to take advantage of risk-pooling across all
members in order to keep premium costs low but maintain comprehensive coverage for everyone.
Jane and John ask what data is available and are told POInT has a sample of historical data on the
annual healthcare costs from 1200 patients, as well as some data for 138 potential members who
have expressed interest in joining POInT. The information includes their age, sex, BMI, smoking
status, region, and number of children covered. For the sample of historical data with 1200
observations, POInT has the data for their annual charges, but for the sample of 138 potential
members, POInT is unsure what their costs would be. The data is been sent over to Jane and John in
an excel file along with a few questions the management team is interested in exploring.
[1] Tozzi, John. “Health Insurance Costs Surpass $20,000 Per Year, Hitting a Record” Bloomberg, 25-Sept-2019
1. Can you propose a cost model that can serve as the basis for (1) making decisions about cost reduction
opportunities as well as (2) a basic risk-adjusted premium pricing model? How much of the variation in
healthcare costs can be explained through patient characteristics? What are the most important factors driving
costs?
2. POInT can help members quit smoking by offering them access to New Miracle Drug (NMD) which enables 100%
of smokers who agree to take the medication to quit permanently after taking NMD for one year. The fixed
costs for POInT to license NMD is $1,000,000 and the variable costs providing the medication to members for a
year is $6,000 for every patient. How many smokers would have to agree to take NMD for the program to be
cost effective in its first year? What would be the estimated cost/savings if 60% of smokers agreed to take
NMD? Based on this should POInT consider implementing the program for the group of 138 potential
members?
3. POInT can provide gym memberships and access to personal trainers who can help reduce the BMI of
individuals. Assuming the average reduction in BMI for those who agree to accept and participate for a year is
5(kg/m2), and that the cost of services to POInT is $100/month per member, should POInT consider offering
these services to members?
4.
If the basic risk adjustment model were implemented without modification for the 138 potential members, what
is the risk POInT will run out of funds? How much more money would need to be collected in premiums to
ensure the risk of running out of money is less than 0.5%? What if POInT was willing to accept more risk – how
much would need to be collected?
***hint***The sum of independent random variables each with a standard deviation of will have a standard deviation
of √ .
5. If basic risk adjustments result in some patients with excessive insurance costs, can you propose a menu of
maximum annual premiums and absolute increases such there is no more than a 0.5% risk of running out of
money?
***hint***In this case patients would pay the minimum of some maximum annual insurance cost and their baseline riskadjusted premium plus some absolute increase to cover the risks of running out of funds (each member pays the same fixed
amount extra to cover the risk of POInT running out of funds).
Individual Extra Credit Question:
•
One of the board members is concerned about the aging population increasing costs and asks
Jane and John to investigate how will the average annual cost per beneficiary would change as
function of the member ages?
o Jane and John independently conduct their own analyses, however when they come together
to compare their analyses the find their numbers do not match. John did his analysis by
simply using the regression formula and changing the average age (and it’s square) while
holding all other independent variables constant at their population average values. Jane’s
analysis on the other hand, considered the whole distribution of ages across the population
by using the counter factual approach and simulating the passage of time by adding and
removing years from the ages of people in the historical data sample then taking averages of
the costs. Their analyses are compared in the figure below.
o John argues he can validate his analysis by using a second order polynomial trend line that is
fit to his analysis to recover the age coefficients from the regression model (sample solution
model). Therefore, he argues that there must be a mistake in Jane’s more complicated
analysis. However, Jane knows she has done her analysis correctly and walks John through
her model and convinces him there is indeed no technical error in her calculations. This only
deepens their confusion.
o Jane argues that since her analysis incorporates the distribution of ages it must capture the
non-linear impact of age correctly. She also points out that when her analysis uses the
sample averages of age (39.2) and age squared (1733) her analysis correctly recovers the
average predicted cost of the average patient across the historical sample ($13,249).
However, John still believes that since his analysis can be used to recover the coefficients of
age (by fitting the second order polynomial trendline) his analysis must be correct.
1. Does the distribution of ages matter in this case or is the average age all that is important? E.g., If two
patient distributions have the same average age but have different shapes (say one is skewed left and
the other is skewed right), will the average of the model predictions for each be the same?
*Hint try it for a small sample
2. John first took the averages of the independent variables and then applied the model when average
age (and it’s square) changed to estimate average costs. Jane on the other hand, first applied the
model to data with modified ages and then she took the average of estimated costs. Why does the
averaging the independent variables before applying the model versus applying the model to the data
and then averaging expected costs matter?
3. Whose analysis would you support and why?
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
42
43
44
45
46
age
19
28
33
32
31
46
37
37
60
25
62
23
56
27
19
52
23
56
60
30
18
34
37
59
63
55
23
31
22
18
19
63
28
19
62
26
35
60
24
31
41
37
38
55
18
28
sex
bmi
children smoker
female
27.9
0 yes
male
33
3 no
male
22.705
0 no
male
28.88
0 no
female
25.74
0 no
female
33.44
1 no
female
27.74
3 no
male
29.83
2 no
female
25.84
0 no
male
26.22
0 no
female
26.29
0 yes
male
34.4
0 no
female
39.82
0 no
male
42.13
0 yes
male
24.6
1 no
female
30.78
1 no
male
23.845
0 no
male
40.3
0 no
female 36.005
0 no
female
32.4
1 no
male
34.1
0 no
female
31.92
1 yes
male
28.025
2 no
female
27.72
3 no
female 23.085
0 no
female 32.775
2 no
male
17.385
1 no
male
36.3
2 yes
male
35.6
0 yes
female 26.315
0 no
female
28.6
5 no
male
28.31
0 no
male
36.4
1 yes
male
20.425
0 no
female 32.965
3 no
male
20.8
0 no
male
36.67
1 yes
male
39.9
0 yes
female
26.6
0 no
female
36.63
2 no
male
21.78
1 no
female
30.8
2 no
male
37.05
1 no
male
37.3
0 no
female 38.665
2 no
female
34.77
0 no
region
southwest
southeast
northwest
northwest
southeast
southeast
northwest
northeast
northwest
northeast
southeast
southwest
southeast
southeast
southwest
northeast
northeast
southwest
northeast
southwest
southeast
northeast
northwest
southeast
northeast
northwest
northwest
southwest
southwest
northeast
southwest
northwest
southwest
northwest
northwest
southwest
northeast
southwest
northeast
southeast
southeast
southeast
northeast
southwest
northeast
northwest
age age_sq children Smoker BMI[25,30)
19
361
0
1
1
28
784
3
0
0
33
1089
0
0
0
32
1024
0
0
1
31
961
0
0
1
46
2116
1
0
0
37
1369
3
0
1
37
1369
2
0
1
60
3600
0
0
1
25
625
0
0
1
62
3844
0
1
1
23
529
0
0
0
56
3136
0
0
0
27
729
0
1
0
19
361
1
0
0
52
2704
1
0
0
23
529
0
0
0
56
3136
0
0
0
60
3600
0
0
0
30
900
1
0
0
18
324
0
0
0
34
1156
1
1
0
37
1369
2
0
1
59
3481
3
0
1
63
3969
0
0
0
55
3025
2
0
0
23
529
1
0
0
31
961
2
1
0
22
484
0
1
0
18
324
0
0
1
19
361
5
0
1
63
3969
0
0
1
28
784
1
1
0
19
361
0
0
0
62
3844
3
0
0
26
676
0
0
0
35
1225
1
1
0
60
3600
0
1
0
24
576
0
0
1
31
961
2
0
0
41
1681
1
0
0
37
1369
2
0
0
38
1444
1
0
0
55
3025
0
0
0
18
324
2
0
0
28
784
0
0
0
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
83
84
85
86
87
88
89
90
91
92
93
36
18
21
48
36
40
58
58
18
43
25
64
28
19
61
40
40
28
27
31
53
58
44
57
29
21
41
31
45
22
48
37
45
57
56
46
21
53
59
35
28
54
55
56
38
41
30
male
female
female
male
male
female
male
female
male
male
male
male
female
female
female
male
female
male
female
male
female
male
male
male
female
male
female
male
female
male
female
female
male
female
female
female
female
female
male
male
female
female
male
male
male
female
male
35.2
35.625
33.63
28
34.43
28.69
36.955
31.825
31.68
27.36
33.66
24.7
25.935
28.9
39.1
26.315
36.19
23.98
24.75
28.5
28.1
32.01
27.4
34.01
29.59
35.53
32.965
26.885
38.285
37.62
41.23
34.8
22.895
31.16
27.2
27.74
39.49
24.795
29.83
34.77
37.62
30.8
38.28
19.95
19.3
31.6
25.46
1
0
2
1
0
3
2
2
2
3
4
1
1
0
2
1
0
3
0
5
3
1
2
0
1
0
0
1
0
1
4
2
2
0
0
0
0
1
3
2
1
3
0
0
0
0
0
yes
no
no
yes
yes
no
yes
no
yes
no
no
no
no
no
no
no
no
yes
yes
no
no
no
no
no
no
no
no
no
no
yes
no
yes
yes
yes
no
no
no
no
yes
no
no
no
no
yes
yes
no
no
southeast
northeast
northwest
southwest
southeast
northwest
northwest
northeast
southeast
northeast
southeast
northwest
northwest
southwest
southwest
northwest
southeast
southeast
southeast
northeast
southwest
southeast
southwest
northwest
southeast
southeast
northwest
northeast
northeast
southeast
northwest
southwest
northwest
northwest
southwest
northwest
southeast
northwest
northeast
northwest
southeast
southwest
southeast
northeast
southwest
southwest
northeast
36
18
21
48
36
40
58
58
18
43
25
64
28
19
61
40
40
28
27
31
53
58
44
57
29
21
41
31
45
22
48
37
45
57
56
46
21
53
59
35
28
54
55
56
38
41
30
1296
324
441
2304
1296
1600
3364
3364
324
1849
625
4096
784
361
3721
1600
1600
784
729
961
2809
3364
1936
3249
841
441
1681
961
2025
484
2304
1369
2025
3249
3136
2116
441
2809
3481
1225
784
2916
3025
3136
1444
1681
900
1
0
2
1
0
3
2
2
2
3
4
1
1
0
2
1
0
3
0
5
3
1
2
0
1
0
0
1
0
1
4
2
2
0
0
0
0
1
3
2
1
3
0
0
0
0
0
1
0
0
1
1
0
1
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
0
1
1
1
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
1
0
1
0
0
0
1
0
0
1
1
0
1
0
0
0
1
1
0
1
0
1
0
0
1
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
1
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
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
18
61
34
19
26
29
63
54
55
37
21
52
60
58
29
49
37
44
18
20
44
47
26
19
52
32
38
59
61
19
20
22
19
22
54
22
34
26
34
29
30
29
46
51
53
19
35
female
female
female
female
male
male
male
male
female
male
female
male
male
male
female
female
female
male
male
female
male
female
female
female
female
female
male
female
female
male
female
female
male
male
female
female
male
male
male
male
male
female
male
female
female
male
male
30.115
29.92
27.5
28.4
30.875
27.94
35.09
33.63
29.7
30.8
35.72
32.205
28.595
49.06
27.94
27.17
23.37
37.1
23.75
28.975
31.35
33.915
28.785
28.3
37.4
17.765
34.7
26.505
22.04
25.555
28.785
28.05
34.1
25.175
31.9
36
22.42
32.49
25.3
29.735
28.69
38.83
30.495
37.73
37.43
28.4
24.13
0
3
1
1
2
0
0
1
2
0
0
3
0
0
1
0
2
2
0
0
1
3
0
0
0
2
2
0
0
0
0
0
0
0
3
0
2
1
2
2
3
3
3
1
1
1
1
no
yes
no
no
no
no
yes
no
no
no
no
no
no
no
yes
no
no
no
no
no
yes
no
no
yes
no
yes
no
no
no
no
no
no
no
no
no
no
no
no
yes
no
yes
no
yes
no
no
no
no
northeast
southeast
southwest
southwest
northwest
southeast
southeast
northwest
southwest
southwest
northwest
northeast
northeast
southeast
southeast
southeast
northwest
southwest
northeast
northwest
northeast
northwest
northeast
southwest
southwest
northwest
southwest
northeast
northeast
northwest
northeast
southeast
southwest
northwest
southeast
southwest
northeast
northeast
southeast
northwest
northwest
southeast
northwest
southeast
northwest
southwest
northwest
18
61
34
19
26
29
63
54
55
37
21
52
60
58
29
49
37
44
18
20
44
47
26
19
52
32
38
59
61
19
20
22
19
22
54
22
34
26
34
29
30
29
46
51
53
19
35
324
3721
1156
361
676
841
3969
2916
3025
1369
441
2704
3600
3364
841
2401
1369
1936
324
400
1936
2209
676
361
2704
1024
1444
3481
3721
361
400
484
361
484
2916
484
1156
676
1156
841
900
841
2116
2601
2809
361
1225
0
3
1
1
2
0
0
1
2
0
0
3
0
0
1
0
2
2
0
0
1
3
0
0
0
2
2
0
0
0
0
0
0
0
3
0
2
1
2
2
3
3
3
1
1
1
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
1
1
1
0
1
0
0
1
0
0
0
1
0
1
1
0
0
0
1
0
0
1
1
0
0
0
1
0
1
1
1
0
1
0
0
0
0
1
1
1
0
0
0
0
1
0
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
48
32
40
48
18
30
50
42
18
32
37
47
20
32
19
18
35
24
63
38
54
41
58
22
44
44
36
26
30
41
29
61
36
25
56
19
39
45
51
64
19
48
27
46
28
59
35
male
female
female
male
male
male
female
female
female
female
male
male
female
female
female
male
female
female
female
male
male
female
male
male
female
male
male
female
female
female
female
male
female
male
female
male
female
female
female
female
female
female
female
male
female
male
male
29.7
37.145
25.46
24.42
25.175
35.53
27.83
26.6
36.85
29.8
29.64
28.215
37
33.155
31.825
15.96
34.8
33.345
37.7
27.835
29.2
33.155
28.595
19.95
26.41
30.69
41.895
29.92
30.9
32.2
32.11
31.57
26.2
25.74
26.6
30.59
32.8
28.6
18.05
39.33
32.11
32.23
36.08
22.3
28.88
26.4
27.74
0
3
1
0
0
0
3
0
0
2
0
4
5
3
1
0
1
0
0
2
1
3
0
3
0
2
3
2
3
1
2
0
0
0
1
0
0
2
0
0
0
1
0
0
1
0
2
no
no
no
yes
yes
yes
no
yes
yes
no
no
no
no
no
no
no
no
no
yes
no
no
no
no
no
no
no
yes
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
yes
no
no
no
yes
southeast
northeast
northeast
southeast
northeast
southeast
southeast
northwest
southeast
southwest
northwest
northeast
southwest
northwest
northwest
northeast
southwest
northwest
southwest
northwest
southwest
northeast
northwest
northeast
northwest
southeast
northeast
southeast
southwest
southwest
northwest
southeast
southwest
southeast
northwest
northwest
southwest
southeast
northwest
northeast
northwest
southeast
southeast
southwest
northeast
southeast
northeast
48
32
40
48
18
30
50
42
18
32
37
47
20
32
19
18
35
24
63
38
54
41
58
22
44
44
36
26
30
41
29
61
36
25
56
19
39
45
51
64
19
48
27
46
28
59
35
2304
1024
1600
2304
324
900
2500
1764
324
1024
1369
2209
400
1024
361
324
1225
576
3969
1444
2916
1681
3364
484
1936
1936
1296
676
900
1681
841
3721
1296
625
3136
361
1521
2025
2601
4096
361
2304
729
2116
784
3481
1225
0
3
1
0
0
0
3
0
0
2
0
4
5
3
1
0
1
0
0
2
1
3
0
3
0
2
3
2
3
1
2
0
0
0
1
0
0
2
0
0
0
1
0
0
1
0
2
0
0
0
1
1
1
0
1
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
1
0
1
0
1
1
0
1
1
1
0
0
0
0
0
0
0
1
1
0
1
0
1
0
0
1
0
0
0
0
1
1
1
0
0
1
0
0
0
0
0
0
1
1
1
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
63
40
20
40
24
34
45
53
27
26
24
34
32
19
42
55
28
58
41
47
42
59
19
59
39
40
18
19
44
23
33
55
40
63
54
60
24
19
29
63
54
27
50
55
56
38
51
female
male
male
male
male
female
female
female
male
female
female
female
male
male
male
male
male
female
female
male
female
female
female
male
male
female
female
male
male
female
female
female
male
female
male
female
male
male
male
female
male
male
male
female
male
female
male
31.8
41.23
33
30.875
28.5
26.73
30.9
26.6
23.1
29.92
23.21
33.7
30.8
34.8
24.64
33.88
38.06
41.91
31.635
25.46
36.195
27.83
17.8
27.5
24.51
22.22
26.73
29.07
38.06
36.67
22.135
26.8
35.3
27.74
30.02
38.06
35.86
20.9
28.975
32.2
34.21
30.3
31.825
25.365
33.63
40.15
24.415
0
1
1
4
2
1
2
0
0
1
0
1
3
0
0
3
0
0
1
2
1
3
0
1
2
2
0
0
1
2
1
1
3
0
0
0
0
1
1
2
2
3
0
3
0
0
4
no
no
no
no
no
no
no
no
no
no
no
no
no
yes
yes
no
no
no
no
no
no
no
no
no
no
yes
no
yes
no
yes
no
no
no
yes
no
no
no
no
no
yes
yes
no
yes
no
yes
no
no
southwest
northeast
southwest
northwest
northwest
southeast
southwest
northwest
southeast
southeast
southeast
southwest
southwest
southwest
southeast
southeast
southeast
southeast
northeast
northeast
northwest
southeast
southwest
southwest
northwest
southeast
southeast
northwest
southeast
northeast
northeast
southwest
southwest
northeast
northwest
southeast
southeast
southwest
northeast
southwest
southeast
southwest
northeast
northeast
northwest
southeast
northwest
63
40
20
40
24
34
45
53
27
26
24
34
32
19
42
55
28
58
41
47
42
59
19
59
39
40
18
19
44
23
33
55
40
63
54
60
24
19
29
63
54
27
50
55
56
38
51
3969
1600
400
1600
576
1156
2025
2809
729
676
576
1156
1024
361
1764
3025
784
3364
1681
2209
1764
3481
361
3481
1521
1600
324
361
1936
529
1089
3025
1600
3969
2916
3600
576
361
841
3969
2916
729
2500
3025
3136
1444
2601
0
1
1
4
2
1
2
0
0
1
0
1
3
0
0
3
0
0
1
2
1
3
0
1
2
2
0
0
1
2
1
1
3
0
0
0
0
1
1
2
2
3
0
3
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
1
0
0
0
0
0
1
1
0
1
0
1
0
0
0
0
0
0
1
1
0
1
0
1
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
1
1
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
19
58
20
52
19
53
40
59
45
49
18
50
41
50
22
59
51
40
54
30
55
52
46
46
63
59
29
25
22
25
18
19
47
31
48
36
53
56
28
57
29
28
30
58
50
19
43
male
female
female
male
male
female
male
female
male
male
male
male
male
male
female
male
female
female
male
male
female
female
male
female
female
female
male
male
female
male
male
male
male
male
female
male
female
female
female
female
male
female
female
male
male
female
male
31.92
25.2
26.84
24.32
36.955
38.06
19.8
32.395
30.2
25.84
29.37
34.2
37.05
27.455
24.3
31.79
21.56
28.12
40.565
27.645
32.395
31.2
26.62
48.07
26.22
36.765
29.64
45.54
28.82
26.8
22.99
27.7
25.41
34.39
28.88
27.55
22.61
37.51
33
38
33.345
27.5
33.33
34.865
26.6
24.7
35.97
0
0
1
3
0
3
1
3
1
1
1
2
2
1
0
2
1
1
3
1
1
0
1
2
0
1
1
2
0
3
0
0
1
3
1
3
3
2
2
2
2
2
1
0
0
0
3
yes
no
yes
yes
yes
no
yes
no
no
no
no
yes
no
no
no
no
no
yes
yes
no
no
no
no
no
no
yes
no
yes
no
no
no
yes
yes
yes
no
no
yes
no
no
no
no
no
no
no
no
no
yes
northwest
southwest
southeast
northeast
northwest
southeast
southeast
northeast
southwest
northeast
southeast
southwest
northwest
northeast
southwest
southeast
southeast
northeast
northeast
northeast
northeast
southwest
southeast
northeast
northwest
northeast
northeast
southeast
southeast
southwest
northeast
southwest
southeast
northwest
northwest
northeast
northeast
southeast
southeast
southwest
northwest
southwest
southeast
northeast
southwest
southwest
southeast
19
58
20
52
19
53
40
59
45
49
18
50
41
50
22
59
51
40
54
30
55
52
46
46
63
59
29
25
22
25
18
19
47
31
48
36
53
56
28
57
29
28
30
58
50
19
43
361
3364
400
2704
361
2809
1600
3481
2025
2401
324
2500
1681
2500
484
3481
2601
1600
2916
900
3025
2704
2116
2116
3969
3481
841
625
484
625
324
361
2209
961
2304
1296
2809
3136
784
3249
841
784
900
3364
2500
361
1849
0
0
1
3
0
3
1
3
1
1
1
2
2
1
0
2
1
1
3
1
1
0
1
2
0
1
1
2
0
3
0
0
1
3
1
3
3
2
2
2
2
2
1
0
0
0
3
1
0
1
1
1
0
1
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
1
0
0
0
1
1
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
1
1
0
0
1
0
0
0
1
0
1
0
0
1
0
1
0
1
0
1
1
0
1
1
0
1
1
0
0
0
0
0
1
0
0
1
0
0
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
49
27
50
54
44
32
34
26
34
57
40
27
45
64
52
61
61
56
43
64
60
62
50
46
24
62
60
63
49
34
33
46
36
19
57
50
30
46
46
47
23
18
48
35
19
21
21
male
female
male
male
female
male
male
female
male
male
male
female
male
female
male
female
female
female
female
male
male
male
male
female
female
male
female
male
female
female
male
male
female
male
female
female
female
male
male
male
male
female
female
male
female
female
female
35.86
31.4
32.205
32.775
27.645
37.335
25.27
29.64
30.8
40.945
34.105
23.21
36.48
33.8
36.7
36.385
31.16
28.785
35.72
34.5
25.74
27.55
32.3
27.72
27.6
30.02
27.55
36.765
41.47
29.26
35.75
33.345
29.92
27.835
23.18
25.6
27.7
27.6
43.89
29.83
41.91
20.79
32.3
30.5
21.7
26.4
21.89
0
0
0
0
0
1
1
4
0
0
1
1
2
1
0
1
0
0
2
0
0
1
1
1
0
0
0
0
4
3
2
1
1
0
0
0
0
0
3
3
0
0
2
1
0
1
2
no
yes
no
no
no
no
no
no
yes
no
no
no
yes
yes
no
yes
no
no
no
no
no
no
yes
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
yes
no
no
southeast
southwest
northwest
northeast
northwest
northeast
northwest
northeast
southwest
northeast
northeast
southeast
northwest
southwest
southwest
northeast
northwest
northeast
northeast
southwest
southeast
northwest
northeast
southeast
southwest
northwest
northeast
northeast
southeast
southeast
southeast
northeast
southeast
northwest
northwest
southwest
southwest
southwest
southeast
northwest
southeast
southeast
northeast
southwest
southwest
southwest
southeast
49
27
50
54
44
32
34
26
34
57
40
27
45
64
52
61
61
56
43
64
60
62
50
46
24
62
60
63
49
34
33
46
36
19
57
50
30
46
46
47
23
18
48
35
19
21
21
2401
729
2500
2916
1936
1024
1156
676
1156
3249
1600
729
2025
4096
2704
3721
3721
3136
1849
4096
3600
3844
2500
2116
576
3844
3600
3969
2401
1156
1089
2116
1296
361
3249
2500
900
2116
2116
2209
529
324
2304
1225
361
441
441
0
0
0
0
0
1
1
4
0
0
1
1
2
1
0
1
0
0
2
0
0
1
1
1
0
0
0
0
4
3
2
1
1
0
0
0
0
0
3
3
0
0
2
1
0
1
2
0
1
0
0
0
0
0
0
1
0
0
0
1
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
1
0
0
1
1
0
1
1
0
1
0
0
1
0
0
1
1
0
1
1
1
0
1
0
0
0
0
0
1
0
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
49
56
42
44
18
61
57
42
26
20
23
39
24
64
62
27
55
55
35
44
19
58
50
26
24
48
19
49
46
46
43
21
64
18
51
47
64
49
31
52
33
47
32
19
44
26
25
female
female
female
male
male
female
female
female
male
male
female
female
male
female
male
female
male
male
female
male
male
female
male
female
female
male
female
male
female
male
female
male
male
female
female
male
female
male
male
female
female
female
male
male
female
female
male
30.78
32.3
24.985
32.015
30.4
21.09
22.23
33.155
32.9
33.33
28.31
24.89
40.15
30.115
31.46
17.955
30.685
33
43.34
22.135
34.4
39.05
25.365
22.61
30.21
35.625
37.43
31.35
32.3
19.855
34.4
31.02
25.6
38.17
20.6
47.52
32.965
32.3
20.4
38.38
24.31
23.6
30.03
17.48
20.235
17.195
23.9
1
3
2
2
3
0
0
1
2
0
0
3
0
3
1
2
0
0
2
2
0
0
2
0
3
4
0
1
2
0
3
0
2
0
0
1
0
3
0
2
0
1
1
0
1
2
5
no
no
no
no
no
no
no
no
yes
no
yes
yes
yes
no
no
yes
yes
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
yes
yes
no
northeast
northeast
northwest
northwest
northeast
northwest
northeast
northeast
southwest
southeast
northwest
northeast
southeast
northwest
southeast
northeast
northeast
southeast
southeast
northeast
southwest
southeast
northwest
northwest
northwest
northeast
northwest
northeast
northeast
northwest
southwest
southeast
southwest
southeast
southwest
southeast
northwest
northwest
southwest
northeast
southeast
southwest
southeast
northwest
northeast
northeast
southwest
49
56
42
44
18
61
57
42
26
20
23
39
24
64
62
27
55
55
35
44
19
58
50
26
24
48
19
49
46
46
43
21
64
18
51
47
64
49
31
52
33
47
32
19
44
26
25
2401
3136
1764
1936
324
3721
3249
1764
676
400
529
1521
576
4096
3844
729
3025
3025
1225
1936
361
3364
2500
676
576
2304
361
2401
2116
2116
1849
441
4096
324
2601
2209
4096
2401
961
2704
1089
2209
1024
361
1936
676
625
1
3
2
2
3
0
0
1
2
0
0
3
0
3
1
2
0
0
2
2
0
0
2
0
3
4
0
1
2
0
3
0
2
0
0
1
0
3
0
2
0
1
1
0
1
2
5
0
0
0
0
0
0
0
0
1
0
1
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
19
43
52
64
63
64
61
40
48
45
18
27
19
29
42
22
35
52
26
33
18
59
56
60
56
40
35
39
30
24
20
32
59
55
57
56
40
49
42
62
56
19
30
60
56
28
18
female
female
male
male
female
male
male
male
male
male
female
female
male
female
male
male
male
female
male
female
male
female
male
male
female
female
male
male
male
male
male
male
male
female
female
male
female
female
male
female
male
male
female
female
female
female
female
35.15
35.64
34.1
39.16
26.98
33.88
35.86
32.775
30.2
24.31
29.165
30.4
33.1
20.235
26.9
31.73
28.9
46.75
29.45
33.5
43.01
36.52
26.695
29.64
25.65
29.6
38.6
29.6
24.13
23.4
29.735
46.53
37.4
30.14
30.495
39.6
33
36.63
30
38.095
25.935
25.175
28.38
28.7
33.82
24.32
24.09
0
1
0
1
0
0
0
1
2
5
0
3
0
2
0
0
3
5
0
0
0
1
1
0
0
0
1
4
1
0
0
2
0
2
0
0
3
3
0
2
0
0
1
1
2
1
1
no
no
no
no
yes
yes
yes
yes
no
no
no
no
no
no
no
no
no
no
no
yes
no
no
yes
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
yes
no
no
no
yes
no
no
no
no
northwest
southeast
southeast
southeast
northwest
southeast
southeast
northeast
southwest
southeast
northeast
northwest
southwest
northwest
southwest
northeast
southwest
southeast
northeast
southwest
southeast
southeast
northwest
northeast
northwest
southwest
southwest
southwest
northwest
southwest
northwest
southeast
southwest
southeast
northwest
southwest
southeast
southeast
southwest
northeast
northeast
northwest
southeast
southwest
northwest
northeast
southeast
19
43
52
64
63
64
61
40
48
45
18
27
19
29
42
22
35
52
26
33
18
59
56
60
56
40
35
39
30
24
20
32
59
55
57
56
40
49
42
62
56
19
30
60
56
28
18
361
1849
2704
4096
3969
4096
3721
1600
2304
2025
324
729
361
841
1764
484
1225
2704
676
1089
324
3481
3136
3600
3136
1600
1225
1521
900
576
400
1024
3481
3025
3249
3136
1600
2401
1764
3844
3136
361
900
3600
3136
784
324
0
1
0
1
0
0
0
1
2
5
0
3
0
2
0
0
3
5
0
0
0
1
1
0
0
0
1
4
1
0
0
2
0
2
0
0
3
3
0
2
0
0
1
1
2
1
1
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
0
1
0
1
0
0
0
1
1
1
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
27
18
19
47
25
21
23
63
49
51
48
31
54
19
44
53
19
61
21
20
31
45
44
62
29
43
51
19
37
22
21
24
57
56
27
51
19
39
58
20
45
35
31
50
32
51
38
male
female
female
female
male
male
male
male
male
female
male
female
female
male
female
male
female
male
male
male
female
male
female
female
male
male
male
male
male
male
male
female
female
male
male
male
male
male
male
male
male
female
male
female
female
female
female
32.67
30.115
29.8
33.345
35.625
36.85
32.56
41.325
37.51
39.5
34.3
31.065
21.47
28.7
38.06
31.16
32.9
43.4
25.7
27.93
23.6
28.7
23.98
39.2
34.4
26.03
23.21
30.25
30.875
31.35
23.75
25.27
28.7
32.11
33.66
22.42
30.4
28.3
35.7
35.31
30.495
31
30.875
27.36
44.22
33.915
37.73
0
0
0
0
0
0
0
3
2
1
3
0
3
0
0
1
0
0
4
0
2
2
2
0
0
0
1
0
3
1
2
0
0
1
0
0
0
1
0
1
2
1
0
0
0
0
0
no
no
no
no
no
no
no
no
no
no
no
no
no
no
yes
no
no
no
yes
no
no
no
no
no
yes
no
yes
yes
no
no
no
no
no
no
no
no
no
yes
no
no
no
no
no
no
no
no
no
southeast
northeast
southwest
northeast
northwest
southeast
southeast
northwest
southeast
southwest
southwest
northeast
northwest
southwest
southeast
northwest
southwest
southwest
southwest
northeast
southwest
southwest
southeast
southwest
southwest
northeast
southeast
southeast
northwest
northwest
northwest
northeast
southwest
northeast
southeast
northeast
southwest
southwest
southwest
southeast
northwest
southwest
northeast
northeast
southeast
northeast
southeast
27
18
19
47
25
21
23
63
49
51
48
31
54
19
44
53
19
61
21
20
31
45
44
62
29
43
51
19
37
22
21
24
57
56
27
51
19
39
58
20
45
35
31
50
32
51
38
729
324
361
2209
625
441
529
3969
2401
2601
2304
961
2916
361
1936
2809
361
3721
441
400
961
2025
1936
3844
841
1849
2601
361
1369
484
441
576
3249
3136
729
2601
361
1521
3364
400
2025
1225
961
2500
1024
2601
1444
0
0
0
0
0
0
0
3
2
1
3
0
3
0
0
1
0
0
4
0
2
2
2
0
0
0
1
0
3
1
2
0
0
1
0
0
0
1
0
1
2
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
0
1
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0
0
0
1
0
0
0
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
42
18
19
51
46
57
62
37
64
38
33
46
46
53
34
20
63
54
54
49
28
25
43
63
32
62
52
25
28
46
34
35
19
46
54
50
18
19
38
41
49
48
31
18
30
62
57
male
female
female
female
male
male
female
male
male
male
female
female
female
male
female
female
female
female
male
male
male
female
female
male
female
male
female
female
male
male
male
female
male
female
female
male
female
female
female
male
female
male
female
female
female
female
female
26.07
33.88
30.59
25.8
39.425
42.13
31.73
36.19
40.48
28.025
38.9
30.2
28.05
31.35
38
31.79
36.3
47.41
30.21
25.84
35.435
28.595
46.2
30.8
28.93
21.4
31.73
41.325
23.8
33.44
34.21
34.105
35.53
19.95
32.68
44.77
32.12
30.495
40.565
30.59
31.9
40.565
29.1
37.29
43.12
36.86
34.295
1
0
2
1
1
1
0
0
0
1
3
2
1
0
3
2
0
0
0
2
0
0
0
0
0
0
2
0
2
1
0
3
0
2
0
1
2
0
1
2
5
2
0
1
2
1
2
yes
no
no
no
no
yes
no
no
no
no
no
no
no
no
no
no
no
yes
no
yes
no
no
yes
no
no
no
no
no
no
no
no
yes
no
no
no
no
no
no
no
no
no
yes
no
no
no
no
no
southeast
southeast
northwest
southwest
northeast
southeast
northeast
southeast
southeast
northeast
southwest
southwest
southeast
southeast
southwest
southeast
southeast
southeast
northwest
northwest
northeast
northeast
southeast
southwest
southeast
southwest
northwest
northeast
southwest
northeast
southeast
northwest
northwest
northwest
northeast
southeast
southeast
northwest
northwest
northwest
southwest
northwest
southwest
southeast
southeast
northeast
northeast
42
18
19
51
46
57
62
37
64
38
33
46
46
53
34
20
63
54
54
49
28
25
43
63
32
62
52
25
28
46
34
35
19
46
54
50
18
19
38
41
49
48
31
18
30
62
57
1764
324
361
2601
2116
3249
3844
1369
4096
1444
1089
2116
2116
2809
1156
400
3969
2916
2916
2401
784
625
1849
3969
1024
3844
2704
625
784
2116
1156
1225
361
2116
2916
2500
324
361
1444
1681
2401
2304
961
324
900
3844
3249
1
0
2
1
1
1
0
0
0
1
3
2
1
0
3
2
0
0
0
2
0
0
0
0
0
0
2
0
2
1
0
3
0
2
0
1
2
0
1
2
5
2
0
1
2
1
2
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
58
22
52
25
59
19
32
19
33
21
34
61
38
58
47
20
21
41
46
42
34
43
52
18
51
56
64
19
51
27
59
28
30
47
38
18
34
20
47
56
49
55
30
37
49
18
59
female
male
male
female
male
male
female
male
female
male
female
female
female
female
male
male
female
male
female
female
female
male
female
female
male
female
female
female
female
female
female
male
male
female
female
female
female
female
female
female
male
female
male
male
female
male
male
27.17
26.84
30.2
23.465
25.46
30.59
23.65
20.7
28.27
20.235
30.21
35.91
30.69
29
19.57
31.13
21.85
40.26
33.725
29.48
33.25
32.6
37.525
39.16
31.635
25.3
39.05
28.31
34.1
25.175
23.655
26.98
37.8
29.37
34.8
33.155
19
33
36.63
28.595
25.6
37.1
31.4
34.1
21.3
33.535
28.785
0
0
1
0
1
0
1
0
1
3
1
0
1
0
1
2
1
0
1
2
1
2
2
0
0
0
3
0
0
0
0
2
2
1
2
0
3
0
1
0
2
0
1
4
1
0
0
no
no
no
no
no
no
no
no
no
no
yes
no
no
no
no
no
yes
no
no
no
no
no
no
no
no
no
no
yes
no
no
yes
no
yes
no
no
no
no
no
yes
no
yes
no
no
yes
no
yes
no
northwest
southeast
southwest
northeast
northeast
northwest
southeast
southwest
southeast
northeast
northwest
northeast
southeast
southwest
northwest
southeast
northeast
southeast
northeast
southeast
northeast
southwest
northwest
southeast
northwest
southwest
southeast
northwest
southeast
northeast
northwest
northeast
southwest
southeast
southwest
northeast
northeast
southeast
southeast
northeast
southwest
southwest
southwest
southwest
southwest
northeast
northwest
58
22
52
25
59
19
32
19
33
21
34
61
38
58
47
20
21
41
46
42
34
43
52
18
51
56
64
19
51
27
59
28
30
47
38
18
34
20
47
56
49
55
30
37
49
18
59
3364
484
2704
625
3481
361
1024
361
1089
441
1156
3721
1444
3364
2209
400
441
1681
2116
1764
1156
1849
2704
324
2601
3136
4096
361
2601
729
3481
784
900
2209
1444
324
1156
400
2209
3136
2401
3025
900
1369
2401
324
3481
0
0
1
0
1
0
1
0
1
3
1
0
1
0
1
2
1
0
1
2
1
2
2
0
0
0
3
0
0
0
0
2
2
1
2
0
3
0
1
0
2
0
1
4
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
1
0
1
0
0
1
0
1
0
1
1
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
0
1
1
0
0
0
0
0
1
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
29
36
58
44
24
29
40
51
64
19
35
39
56
33
42
61
23
43
48
39
40
18
58
49
53
48
59
52
26
27
57
37
57
32
18
64
40
40
30
29
36
41
44
45
55
56
49
female
male
male
female
male
female
male
male
male
female
female
male
male
male
male
male
female
male
male
male
female
male
female
female
female
female
female
female
female
male
female
male
female
female
male
female
female
female
male
female
male
female
female
male
female
male
female
26.03
28.88
38
38.95
29.3
35.53
22.705
39.7
38.19
24.51
38.095
26.41
33.66
42.4
28.31
33.915
34.96
35.31
30.78
26.22
23.37
28.5
32.965
42.68
39.6
31.13
35.2
25.3
42.4
33.155
28.785
46.53
23.98
31.54
33.66
22.99
32.775
29.81
31.57
31.16
29.7
31.02
43.89
21.375
40.81
36.1
23.18
0
3
0
0
0
0
2
1
0
1
2
0
4
5
3
0
3
2
3
1
3
0
0
2
1
0
0
2
1
2
4
3
1
1
0
0
2
1
3
0
0
0
2
0
3
3
2
no
no
no
yes
no
no
no
no
no
no
no
yes
no
no
yes
no
no
no
no
no
no
no
no
no
no
no
no
yes
no
no
no
no
no
no
no
yes
yes
no
no
no
no
no
yes
no
no
no
no
northwest
northeast
southwest
northwest
southwest
southeast
northeast
southwest
northeast
northwest
northeast
northeast
southeast
southwest
northwest
northeast
northwest
southeast
northeast
northwest
northeast
northeast
northeast
southeast
southeast
southeast
southeast
southeast
southwest
northwest
northeast
southeast
southeast
northeast
southeast
southeast
northwest
southeast
southeast
northeast
southeast
southeast
southeast
northwest
southeast
southwest
northwest
29
36
58
44
24
29
40
51
64
19
35
39
56
33
42
61
23
43
48
39
40
18
58
49
53
48
59
52
26
27
57
37
57
32
18
64
40
40
30
29
36
41
44
45
55
56
49
841
1296
3364
1936
576
841
1600
2601
4096
361
1225
1521
3136
1089
1764
3721
529
1849
2304
1521
1600
324
3364
2401
2809
2304
3481
2704
676
729
3249
1369
3249
1024
324
4096
1600
1600
900
841
1296
1681
1936
2025
3025
3136
2401
0
3
0
0
0
0
2
1
0
1
2
0
4
5
3
0
3
2
3
1
3
0
0
2
1
0
0
2
1
2
4
3
1
1
0
0
2
1
3
0
0
0
2
0
3
3
2
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
19
39
53
53
42
40
47
27
21
47
20
24
27
26
53
41
23
21
50
53
34
47
33
51
49
31
36
18
50
43
20
24
60
49
51
51
62
19
50
30
41
29
18
41
35
53
24
male
male
male
male
male
male
female
male
male
male
male
male
female
female
female
male
female
female
female
male
female
female
female
female
male
female
female
male
female
female
male
female
male
female
female
female
male
male
female
female
male
female
female
female
male
male
female
20.3
35.3
24.32
26.41
26.125
41.69
24.1
31.13
27.36
36.2
32.395
23.655
34.8
40.185
32.3
35.75
39.27
34.87
44.745
41.47
26.41
29.545
32.9
38.06
28.69
30.495
27.74
35.2
23.54
30.685
40.47
22.6
28.9
22.61
36.67
40.66
37.4
35.4
27.075
39.05
28.405
21.755
40.28
36.08
24.42
21.4
30.1
0
2
0
2
2
0
1
1
0
1
1
0
1
0
2
1
2
0
0
0
1
1
2
0
3
3
0
1
2
2
0
0
0
1
2
0
0
0
1
3
1
1
0
1
3
1
3
no
yes
no
no
no
no
no
yes
no
no
no
no
no
no
no
yes
no
no
no
no
no
no
no
yes
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
yes
no
yes
no
no
yes
no
no
southwest
southwest
northwest
northeast
northeast
southeast
southwest
southeast
northeast
southwest
northwest
northwest
southwest
northwest
northeast
southeast
southeast
southeast
northeast
southeast
northwest
northwest
southwest
southeast
northwest
northeast
northeast
southeast
southeast
northwest
northeast
southwest
southwest
northwest
northwest
northeast
southwest
southwest
northeast
southeast
northwest
northeast
northeast
southeast
southeast
southwest
southwest
19
39
53
53
42
40
47
27
21
47
20
24
27
26
53
41
23
21
50
53
34
47
33
51
49
31
36
18
50
43
20
24
60
49
51
51
62
19
50
30
41
29
18
41
35
53
24
361
1521
2809
2809
1764
1600
2209
729
441
2209
400
576
729
676
2809
1681
529
441
2500
2809
1156
2209
1089
2601
2401
961
1296
324
2500
1849
400
576
3600
2401
2601
2601
3844
361
2500
900
1681
841
324
1681
1225
2809
576
0
2
0
2
2
0
1
1
0
1
1
0
1
0
2
1
2
0
0
0
1
1
2
0
3
3
0
1
2
2
0
0
0
1
2
0
0
0
1
3
1
1
0
1
3
1
3
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
48
59
49
26
23
29
45
27
53
31
50
50
34
19
28
21
64
58
24
31
39
47
30
22
23
33
45
57
47
42
64
38
61
53
44
19
41
51
40
45
35
53
30
18
51
50
31
female
female
female
male
male
male
male
male
male
female
male
female
male
male
male
male
male
female
male
male
female
female
male
female
male
male
female
female
male
female
female
female
male
female
female
female
male
male
male
male
male
male
male
male
male
female
female
27.265
32.1
34.77
23.7
31.73
35.5
24.035
29.15
34.105
26.62
26.41
30.115
27
21.755
30.875
28.975
37.905
22.77
33.63
27.645
22.8
27.83
37.43
34.58
35.2
27.1
25.175
31.825
32.3
29
39.7
19.475
36.1
26.7
36.48
28.88
34.2
33.33
32.3
39.805
34.32
28.88
24.4
41.14
35.97
27.6
29.26
1
3
1
2
3
2
2
0
0
0
0
1
2
0
0
0
0
0
4
2
3
0
3
2
1
1
2
0
1
1
0
2
3
2
0
0
2
3
2
0
3
0
3
0
1
1
1
no
no
no
no
yes
yes
no
yes
yes
no
no
no
no
no
no
no
no
no
no
no
no
yes
no
no
no
yes
no
no
no
no
no
no
no
no
no
yes
no
no
no
no
no
no
yes
no
no
yes
no
northeast
southwest
northwest
southwest
northeast
southwest
northeast
southeast
northeast
southeast
northwest
northwest
southwest
northwest
northwest
northwest
northwest
southeast
northeast
northeast
northeast
southeast
northeast
northeast
southwest
southwest
northeast
northwest
southwest
southwest
southwest
northwest
southwest
southwest
northeast
northwest
northwest
southeast
northwest
northeast
southeast
northwest
southwest
southeast
southeast
southwest
southeast
48
59
49
26
23
29
45
27
53
31
50
50
34
19
28
21
64
58
24
31
39
47
30
22
23
33
45
57
47
42
64
38
61
53
44
19
41
51
40
45
35
53
30
18
51
50
31
2304
3481
2401
676
529
841
2025
729
2809
961
2500
2500
1156
361
784
441
4096
3364
576
961
1521
2209
900
484
529
1089
2025
3249
2209
1764
4096
1444
3721
2809
1936
361
1681
2601
1600
2025
1225
2809
900
324
2601
2500
961
1
3
1
2
3
2
2
0
0
0
0
1
2
0
0
0
0
0
4
2
3
0
3
2
1
1
2
0
1
1
0
2
3
2
0
0
2
3
2
0
3
0
3
0
1
1
1
0
0
0
0
1
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
1
0
1
1
0
1
0
0
1
0
0
0
1
0
1
0
0
0
1
1
0
0
1
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
1
1
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
35
60
21
29
62
39
19
22
53
39
27
30
33
42
64
21
18
23
45
40
19
18
25
46
33
54
28
36
20
24
23
47
33
26
18
44
60
64
56
41
39
63
36
28
58
36
42
female
male
male
male
female
female
male
female
male
female
male
female
male
female
female
male
female
male
female
female
female
male
male
female
female
male
male
male
female
female
male
female
female
male
female
female
male
female
male
male
male
male
female
female
male
male
male
27.7
36.955
36.86
22.515
29.92
41.8
27.6
23.18
20.9
31.92
28.5
22.895
24.795
26.18
35.97
22.3
42.24
26.51
35.815
41.42
36.575
30.14
25.84
30.8
42.94
21.01
22.515
34.43
31.46
24.225
37.1
26.125
35.53
17.67
31.13
29.81
24.32
31.825
31.79
30.78
21.85
33.1
25.84
23.845
34.39
33.82
35.97
3
0
0
3
0
0
0
0
0
2
0
1
0
1
0
1
0
0
0
1
0
0
1
3
3
2
2
2
0
0
3
1
0
0
0
2
0
2
2
3
1
0
0
2
0
1
2
no
no
no
no
no
no
no
no
yes
no
yes
no
yes
no
no
no
yes
no
no
no
no
no
no
no
no
no
no
no
no
no
no
yes
yes
no
no
no
no
no
yes
yes
no
no
no
no
no
no
no
southwest
northeast
northwest
northeast
southeast
southeast
southwest
northeast
southeast
northwest
northwest
northeast
northeast
southeast
southeast
southwest
southeast
southeast
northwest
northwest
northwest
southeast
northeast
southwest
northwest
southeast
northeast
southeast
southeast
northwest
southwest
northeast
northwest
northwest
southeast
southeast
northwest
northeast
southeast
northeast
northwest
southwest
northwest
northwest
northwest
northwest
southeast
35
60
21
29
62
39
19
22
53
39
27
30
33
42
64
21
18
23
45
40
19
18
25
46
33
54
28
36
20
24
23
47
33
26
18
44
60
64
56
41
39
63
36
28
58
36
42
1225
3600
441
841
3844
1521
361
484
2809
1521
729
900
1089
1764
4096
441
324
529
2025
1600
361
324
625
2116
1089
2916
784
1296
400
576
529
2209
1089
676
324
1936
3600
4096
3136
1681
1521
3969
1296
784
3364
1296
1764
3
0
0
3
0
0
0
0
0
2
0
1
0
1
0
1
0
0
0
1
0
0
1
3
3
2
2
2
0
0
3
1
0
0
0
2
0
2
2
3
1
0
0
2
0
1
2
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
1
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
36
56
35
59
23
57
53
60
51
55
37
61
46
53
49
20
48
25
25
57
37
38
55
36
51
40
18
57
61
50
26
43
44
23
49
33
41
37
23
21
51
25
32
57
36
22
57
male
female
female
female
female
female
male
female
female
male
female
male
female
female
female
female
female
male
female
male
female
female
female
female
male
male
male
male
male
male
female
male
male
female
female
male
male
female
male
female
female
male
male
male
female
male
male
31.5
28.31
23.465
31.35
32.78
29.81
30.495
32.45
34.2
32.775
30.78
32.3
35.53
23.75
23.845
29.6
33.11
24.13
32.23
28.1
47.6
28
33.535
19.855
25.4
29.9
37.29
43.7
23.655
36.2
29.48
30.1
21.85
28.12
27.1
33.44
28.8
29.5
27.36
22.135
37.05
26.695
28.93
28.975
30.02
39.5
33.63
0
0
2
0
2
0
0
0
1
0
0
2
0
2
3
0
0
0
1
0
2
3
2
0
0
2
0
1
0
0
1
1
3
0
1
5
1
2
1
0
3
4
1
0
0
0
1
no
no
no
no
yes
yes
no
yes
no
no
yes
no
yes
no
yes
no
yes
yes
no
no
yes
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
yes
no
yes
yes
no
no
no
southwest
northeast
northeast
northwest
southeast
southeast
northeast
southeast
southwest
northwest
northeast
northwest
northeast
northeast
northeast
southwest
southeast
northwest
southeast
southwest
southwest
southwest
northwest
northeast
southwest
southwest
southeast
southwest
northeast
southwest
southeast
southwest
northeast
northwest
southwest
southeast
southwest
southwest
northwest
northeast
northeast
northwest
southeast
northeast
northwest
southwest
northwest
36
56
35
59
23
57
53
60
51
55
37
61
46
53
49
20
48
25
25
57
37
38
55
36
51
40
18
57
61
50
26
43
44
23
49
33
41
37
23
21
51
25
32
57
36
22
57
1296
3136
1225
3481
529
3249
2809
3600
2601
3025
1369
3721
2116
2809
2401
400
2304
625
625
3249
1369
1444
3025
1296
2601
1600
324
3249
3721
2500
676
1849
1936
529
2401
1089
1681
1369
529
441
2601
625
1024
3249
1296
484
3249
0
0
2
0
2
0
0
0
1
0
0
2
0
2
3
0
0
0
1
0
2
3
2
0
0
2
0
1
0
0
1
1
3
0
1
5
1
2
1
0
3
4
1
0
0
0
1
0
0
0
0
1
1
0
1
0
0
1
0
1
0
1
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
1
1
0
0
0
0
1
0
0
1
1
0
1
1
1
0
0
1
1
1
0
0
0
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
64
36
54
61
43
18
19
49
60
26
49
60
26
27
44
32
22
18
59
44
33
45
61
35
62
34
43
50
19
57
62
41
26
39
46
32
59
44
39
18
53
18
50
18
19
62
56
female
female
male
female
female
female
female
male
male
male
male
female
female
male
female
female
male
male
female
female
male
male
female
female
female
male
male
male
female
female
female
male
male
female
male
male
female
male
female
male
male
male
female
female
male
male
female
26.885
29.04
24.035
44
20.045
40.26
22.515
22.515
40.92
27.265
36.85
35.1
29.355
32.585
32.34
24.6
28.31
31.73
26.695
27.5
24.605
22.895
28.2
34.21
33.2
35.815
23.2
32.11
23.4
20.1
39.16
34.21
46.53
32.5
25.8
37.18
27.5
29.735
24.225
26.18
29.48
23.21
46.09
40.185
22.61
39.93
35.8
0
4
0
0
2
0
0
0
0
3
0
0
2
3
1
0
1
0
3
1
2
0
0
1
0
0
0
2
2
1
0
1
1
1
5
2
0
2
5
2
0
0
1
0
0
0
1
yes
no
no
no
yes
no
no
no
yes
no
no
no
no
no
no
yes
no
yes
no
no
no
yes
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
no
northwest
southeast
northeast
southwest
northeast
southeast
northwest
northeast
southeast
northeast
southeast
southwest
northeast
northeast
southeast
southwest
northwest
northeast
northwest
southwest
northwest
northeast
southwest
southeast
southwest
northwest
southwest
northeast
southwest
southwest
southeast
southeast
southeast
southwest
southwest
southeast
southwest
northeast
northwest
southeast
southeast
southeast
southeast
northeast
northwest
southeast
southwest
64
36
54
61
43
18
19
49
60
26
49
60
26
27
44
32
22
18
59
44
33
45
61
35
62
34
43
50
19
57
62
41
26
39
46
32
59
44
39
18
53
18
50
18
19
62
56
4096
1296
2916
3721
1849
324
361
2401
3600
676
2401
3600
676
729
1936
1024
484
324
3481
1936
1089
2025
3721
1225
3844
1156
1849
2500
361
3249
3844
1681
676
1521
2116
1024
3481
1936
1521
324
2809
324
2500
324
361
3844
3136
0
4
0
0
2
0
0
0
0
3
0
0
2
3
1
0
1
0
3
1
2
0
0
1
0
0
0
2
2
1
0
1
1
1
5
2
0
2
5
2
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
1
1
0
0
0
0
0
0
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
42
37
42
25
51
30
44
34
54
24
43
48
19
29
63
46
52
35
51
44
21
39
50
34
22
19
26
29
26
45
36
54
34
31
27
20
44
43
45
34
24
38
50
38
27
39
39
male
male
male
male
male
female
male
male
male
male
male
male
female
female
female
male
male
male
male
male
male
female
female
female
female
female
male
male
male
female
female
male
male
male
female
male
female
male
female
male
female
female
female
male
female
female
female
35.8
34.2
31.255
29.7
42.9
28.405
30.2
27.835
30.8
26.79
34.96
36.67
39.615
25.9
35.2
24.795
36.765
27.1
24.795
25.365
25.745
34.32
28.16
23.56
20.235
40.5
35.42
22.895
29.15
39.995
29.92
25.46
21.375
25.9
30.59
30.115
25.8
30.115
27.645
34.675
20.52
27.835
31.6
28.27
20.045
23.275
34.1
2
1
0
3
2
1
2
1
1
1
1
1
1
0
1
3
2
1
2
1
2
5
3
0
0
0
0
0
1
3
0
1
0
3
1
5
1
3
1
0
0
2
2
1
3
3
3
no
yes
no
yes
yes
no
yes
yes
yes
no
yes
no
no
no
no
no
no
no
yes
no
no
no
no
no
no
no
no
yes
no
no
no
no
no
yes
no
no
no
no
no
no
yes
no
no
no
yes
no
no
southwest
northeast
northwest
southwest
southeast
northwest
southwest
northwest
southeast
northwest
northeast
northwest
northwest
southwest
southeast
northeast
northwest
southwest
northwest
northwest
northeast
southeast
southeast
northeast
northwest
southwest
southeast
northeast
southeast
northeast
southeast
northeast
northeast
southwest
northeast
northeast
southwest
northwest
northwest
northeast
northeast
northeast
southwest
southeast
northwest
northeast
southwest
42
37
42
25
51
30
44
34
54
24
43
48
19
29
63
46
52
35
51
44
21
39
50
34
22
19
26
29
26
45
36
54
34
31
27
20
44
43
45
34
24
38
50
38
27
39
39
1764
1369
1764
625
2601
900
1936
1156
2916
576
1849
2304
361
841
3969
2116
2704
1225
2601
1936
441
1521
2500
1156
484
361
676
841
676
2025
1296
2916
1156
961
729
400
1936
1849
2025
1156
576
1444
2500
1444
729
1521
1521
2
1
0
3
2
1
2
1
1
1
1
1
1
0
1
3
2
1
2
1
2
5
3
0
0
0
0
0
1
3
0
1
0
3
1
5
1
3
1
0
0
2
2
1
3
3
3
0
1
0
1
1
0
1
1
1
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
1
0
1
0
1
0
1
0
0
0
1
0
0
0
1
0
1
1
0
1
0
0
0
0
0
1
0
1
1
0
1
0
0
1
0
1
0
0
1
0
1
0
0
0
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
63
33
36
30
24
24
48
47
29
28
47
51
48
43
61
48
38
59
19
54
21
47
18
47
21
19
23
54
37
46
55
30
18
61
22
45
22
19
35
18
20
43
43
22
25
49
44
female
female
female
male
male
male
male
male
male
male
male
male
female
male
female
male
female
male
female
female
female
male
male
female
female
male
male
male
female
female
female
female
male
male
male
female
male
male
female
male
male
female
female
male
female
male
female
36.85
36.29
26.885
22.99
32.7
25.8
29.6
19.19
31.73
29.26
28.215
27.74
22.8
20.13
33.33
32.3
27.6
25.46
24.605
35.815
32.68
36.08
23.32
45.32
34.6
26.03
18.715
31.6
17.29
23.655
35.2
27.93
21.565
38.38
37.07
30.495
28.88
27.265
28.025
23.085
30.685
24.7
25.08
52.58
22.515
30.9
36.955
0
3
0
2
0
0
0
1
2
2
3
1
0
2
4
1
0
0
1
3
2
1
1
1
0
1
0
0
2
1
0
0
0
0
2
1
0
2
0
0
0
2
0
1
1
0
1
no
no
no
yes
yes
no
no
no
no
no
yes
no
no
yes
no
no
no
no
no
no
no
yes
no
no
no
yes
no
no
no
yes
yes
no
yes
no
yes
yes
no
no
yes
no
yes
yes
no
yes
no
yes
no
southeast
northeast
northwest
northwest
southwest
southwest
southwest
northeast
northwest
northeast
northwest
northeast
southwest
southeast
southeast
northwest
southwest
northwest
northwest
northwest
northwest
southeast
southeast
southeast
southwest
northwest
northwest
southwest
northeast
northwest
southeast
northeast
northeast
northwest
southeast
northwest
northeast
northwest
northwest
northeast
northeast
northwest
northeast
southeast
northwest
southwest
northwest
63
33
36
30
24
24
48
47
29
28
47
51
48
43
61
48
38
59
19
54
21
47
18
47
21
19
23
54
37
46
55
30
18
61
22
45
22
19
35
18
20
43
43
22
25
49
44
3969
1089
1296
900
576
576
2304
2209
841
784
2209
2601
2304
1849
3721
2304
1444
3481
361
2916
441
2209
324
2209
441
361
529
2916
1369
2116
3025
900
324
3721
484
2025
484
361
1225
324
400
1849
1849
484
625
2401
1936
0
3
0
2
0
0
0
1
2
2
3
1
0
2
4
1
0
0
1
3
2
1
1
1
0
1
0
0
2
1
0
0
0
0
2
1
0
2
0
0
0
2
0
1
1
0
1
0
0
0
1
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
1
0
1
0
1
1
0
0
1
0
1
1
0
1
0
1
0
0
0
1
0
0
1
1
0
0
1
1
1
0
0
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
1
1
1
0
0
0
1
0
0
0
0
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
64
49
27
55
48
45
32
57
59
36
29
48
39
63
54
37
63
21
54
60
32
47
21
28
63
18
32
32
62
39
55
57
52
56
47
23
22
50
18
51
22
52
25
53
29
58
37
male
male
female
male
female
female
male
male
male
male
female
male
male
male
female
male
male
male
female
female
female
female
male
male
male
male
male
male
female
female
male
male
male
male
male
male
female
female
female
female
male
female
female
male
male
male
male
26.41
29.83
21.47
27.645
28.9
31.79
33.82
27.94
41.14
28.595
25.6
37.29
42.655
21.66
31.9
37.07
31.445
31.255
28.88
18.335
29.59
32
26.03
31.68
33.66
21.78
27.835
31.5
30.495
18.3
28.975
31.54
47.74
22.1
36.19
32.7
30.4
33.7
31.35
34.96
33.77
30.875
33.99
28.6
38.94
36.08
29.8
0
1
0
0
0
0
1
1
1
3
4
2
0
1
1
1
0
0
2
0
1
1
0
0
3
2
1
1
2
5
0
0
1
0
0
3
0
4
4
2
0
0
1
3
1
0
0
no
no
no
no
no
no
no
no
yes
no
no
no
no
no
no
yes
no
no
no
no
no
no
no
yes
no
no
no
no
no
yes
no
no
no
no
yes
no
yes
no
no
yes
no
no
no
no
no
no
no
northeast
northeast
northwest
northwest
southwest
southeast
northwest
southeast
southeast
northwest
southwest
southeast
northeast
northwest
southeast
southeast
northeast
northwest
northeast
northeast
southeast
southwest
northeast
southeast
southeast
southeast
northwest
southwest
northwest
southwest
northeast
northwest
southeast
southwest
southeast
southwest
northwest
southwest
northeast
northeast
southeast
northeast
southeast
southwest
southeast
southeast
southwest
64
49
27
55
48
45
32
57
59
36
29
48
39
63
54
37
63
21
54
60
32
47
21
28
63
18
32
32
62
39
55
57
52
56
47
23
22
50
18
51
22
52
25
53
29
58
37
4096
2401
729
3025
2304
2025
1024
3249
3481
1296
841
2304
1521
3969
2916
1369
3969
441
2916
3600
1024
2209
441
784
3969
324
1024
1024
3844
1521
3025
3249
2704
3136
2209
529
484
2500
324
2601
484
2704
625
2809
841
3364
1369
0
1
0
0
0
0
1
1
1
3
4
2
0
1
1
1
0
0
2
0
1
1
0
0
3
2
1
1
2
5
0
0
1
0
0
3
0
4
4
2
0
0
1
3
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
0
1
1
0
1
1
0
0
1
0
1
1
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
54
49
50
26
45
54
38
48
28
23
55
41
25
33
23
46
53
27
23
63
55
35
34
19
39
27
28
50
44
26
33
19
50
41
52
39
50
52
60
20
42
18
58
43
35
48
36
female
female
female
male
male
female
male
female
female
male
male
male
male
male
female
male
female
female
female
female
male
female
male
female
female
male
male
female
female
female
male
female
male
female
female
male
male
male
male
female
male
female
female
female
female
female
female
31.24
29.925
26.22
30
20.35
32.3
38.39
25.85
26.315
24.51
32.67
29.64
33.33
35.75
31.4
38.17
36.86
32.395
42.75
25.08
29.9
35.86
32.8
18.6
23.87
45.9
33.82
28.12
25
22.23
30.25
32.49
37.07
32.6
24.86
32.34
32.3
32.775
32.8
31.92
34.1
30.305
36.48
32.56
35.815
27.93
22.135
0
0
2
1
3
1
3
3
3
0
1
5
2
1
0
2
3
1
1
0
0
2
1
0
5
2
0
3
1
0
0
0
1
3
0
2
2
3
0
0
0
0
0
3
1
4
3
no
no
no
no
no
no
yes
yes
no
no
no
no
yes
yes
yes
no
yes
no
yes
no
no
no
no
no
no
no
no
no
no
no
no
yes
no
no
no
no
no
no
yes
no
no
no
no
yes
no
no
no
southeast
northwest
northwest
southwest
southeast
northeast
southeast
southeast
northwest
northeast
southeast
northeast
southeast
southeast
southwest
southeast
northwest
northeast
northeast
northwest
southwest
southeast
southwest
southwest
southeast
southwest
northwest
northwest
southwest
northwest
southeast
northwest
southeast
southwest
southeast
southeast
southwest
northwest
southwest
northwest
southwest
northeast
northwest
southeast
northwest
northwest
northeast
54
49
50
26
45
54
38
48
28
23
55
41
25
33
23
46
53
27
23
63
55
35
34
19
39
27
28
50
44
26
33
19
50
41
52
39
50
52
60
20
42
18
58
43
35
48
36
2916
2401
2500
676
2025
2916
1444
2304
784
529
3025
1681
625
1089
529
2116
2809
729
529
3969
3025
1225
1156
361
1521
729
784
2500
1936
676
1089
361
2500
1681
2704
1521
2500
2704
3600
400
1764
324
3364
1849
1225
2304
1296
0
0
2
1
3
1
3
3
3
0
1
5
2
1
0
2
3
1
1
0
0
2
1
0
5
2
0
3
1
0
0
0
1
3
0
2
2
3
0
0
0
0
0
3
1
4
3
0
0
0
0
0
0
1
1
0
0
0
0
1
1
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
19
23
20
32
43
30
18
41
35
57
29
32
37
18
43
56
38
29
22
52
40
23
31
42
24
25
23
45
62
43
23
31
41
58
48
31
19
19
41
40
31
37
46
22
51
18
35
male
female
female
female
female
male
female
female
female
male
female
male
female
male
female
female
male
male
female
female
female
female
male
female
female
female
female
male
female
female
female
female
female
female
female
female
female
female
male
male
female
male
male
male
male
female
male
44.88
23.18
30.59
41.1
34.58
38.83
28.215
28.31
26.125
40.37
24.6
35.2
34.105
27.36
26.7
41.91
29.26
32.11
27.1
24.13
27.4
34.865
29.81
41.325
29.925
30.3
28.49
23.56
32.68
25.27
28
32.775
21.755
32.395
36.575
21.755
27.93
30.02
33.55
29.355
25.8
24.32
40.375
32.11
32.3
27.28
17.86
0
2
0
0
1
1
0
1
0
0
2
2
1
1
2
0
2
2
0
1
1
0
0
1
0
0
1
2
0
1
0
2
1
1
0
0
3
0
0
1
2
2
2
0
1
3
1
yes
no
no
no
no
no
no
no
no
no
no
no
no
yes
yes
no
no
no
no
yes
no
no
yes
no
no
no
yes
no
no
yes
no
no
no
no
no
no
no
yes
no
no
no
no
no
no
no
yes
no
southeast
northwest
northeast
southwest
northwest
southeast
northeast
northwest
northeast
southeast
southwest
southwest
northwest
northeast
southwest
southeast
northwest
northwest
southwest
northwest
southwest
northeast
southeast
northeast
northwest
southwest
southeast
northeast
northwest
northeast
southwest
northwest
northeast
northeast
northwest
northwest
northwest
northwest
southeast
northwest
southwest
northwest
northwest
northwest
northeast
southeast
northwest
19
23
20
32
43
30
18
41
35
57
29
32
37
18
43
56
38
29
22
52
40
23
31
42
24
25
23
45
62
43
23
31
41
58
48
31
19
19
41
40
31
37
46
22
51
18
35
361
529
400
1024
1849
900
324
1681
1225
3249
841
1024
1369
324
1849
3136
1444
841
484
2704
1600
529
961
1764
576
625
529
2025
3844
1849
529
961
1681
3364
2304
961
361
361
1681
1600
961
1369
2116
484
2601
324
1225
0
2
0
0
1
1
0
1
0
0
2
2
1
1
2
0
2
2
0
1
1
0
0
1
0
0
1
2
0
1
0
2
1
1
0
0
3
0
0
1
2
2
2
0
1
3
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
1
0
0
0
0
1
1
0
1
0
1
0
1
0
1
0
1
0
1
0
0
1
1
0
0
0
0
0
1
0
0
1
1
0
0
0
0
1
0
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
59
37
59
36
39
18
52
27
18
40
29
46
38
30
40
50
20
41
33
42
56
58
52
20
54
58
45
26
63
58
37
25
52
64
22
28
18
28
45
33
18
32
24
19
20
40
42
female
female
male
male
male
male
female
female
male
male
male
female
female
female
male
male
female
male
female
male
male
male
male
female
female
male
female
male
female
female
male
female
male
male
female
female
male
male
female
male
female
male
male
male
male
female
female
34.8
25.555
37.1
30.875
34.1
21.47
33.3
31.255
39.14
25.08
37.29
34.6
30.21
21.945
24.97
25.3
24.42
23.94
39.82
37.18
34.43
30.305
34.485
21.8
24.605
23.3
27.83
31.065
21.66
28.215
22.705
42.13
41.8
36.96
21.28
33.11
33.33
24.3
25.7
29.4
39.82
33.63
29.83
19.8
27.3
29.3
37.9
2
1
1
1
2
0
2
1
0
0
2
1
3
1
2
0
0
1
1
2
0
0
3
0
3
0
2
0
0
0
3
1
2
2
3
0
0
5
3
4
0
1
0
0
0
4
0
no
yes
no
no
no
no
no
no
no
no
no
yes
no
no
no
no
yes
no
no
no
no
no
yes
yes
no
no
no
no
no
no
no
no
yes
yes
no
no
no
no
no
no
no
yes
yes
no
yes
no
no
southwest
northeast
southwest
northwest
southeast
northeast
southwest
northwest
northeast
southeast
southeast
southwest
northwest
northeast
southeast
southeast
southeast
northeast
southeast
southeast
southeast
northeast
northwest
southwest
northwest
southwest
southeast
northwest
northeast
northwest
northeast
southeast
southeast
southeast
northwest
southeast
southeast
southwest
southwest
southwest
southeast
northeast
northeast
southwest
southwest
southwest
southwest
59
37
59
36
39
18
52
27
18
40
29
46
38
30
40
50
20
41
33
42
56
58
52
20
54
58
45
26
63
58
37
25
52
64
22
28
18
28
45
33
18
32
24
19
20
40
42
3481
1369
3481
1296
1521
324
2704
729
324
1600
841
2116
1444
900
1600
2500
400
1681
1089
1764
3136
3364
2704
400
2916
3364
2025
676
3969
3364
1369
625
2704
4096
484
784
324
784
2025
1089
324
1024
576
361
400
1600
1764
2
1
1
1
2
0
2
1
0
0
2
1
3
1
2
0
0
1
1
2
0
0
3
0
3
0
2
0
0
0
3
1
2
2
3
0
0
5
3
4
0
1
0
0
0
4
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
1
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
1
0
1
1
0
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
51
54
55
52
32
28
41
43
49
64
55
24
20
45
26
25
43
35
26
57
22
32
48
47
18
18
61
47
28
20
44
38
21
46
58
20
18
28
33
19
45
62
25
43
42
24
29
female
female
male
female
female
male
female
female
female
male
female
male
female
male
male
female
male
male
male
male
female
female
female
female
female
male
male
female
female
male
male
female
male
male
male
male
male
female
male
female
male
male
female
male
male
female
female
36.385
27.645
37.715
23.18
20.52
37.1
28.05
29.9
33.345
23.76
30.5
31.065
33.3
27.5
33.915
34.485
25.52
27.61
27.06
23.7
30.4
29.735
33.33
27.645
21.66
30.03
36.3
24.32
17.29
39.4
34.32
19.95
23.21
25.745
25.175
22
26.125
26.51
27.455
25.745
30.36
30.875
20.8
27.8
24.605
27.72
21.85
3
1
3
0
0
1
1
1
2
0
0
0
0
3
1
0
5
1
0
0
0
0
0
2
0
1
1
0
0
2
1
2
0
3
0
1
0
2
2
1
0
3
1
0
2
0
0
no
no
no
no
no
no
no
no
no
yes
no
yes
no
no
no
no
no
no
yes
no
no
no
no
yes
yes
no
yes
no
no
yes
no
no
no
no
no
no
no
no
no
no
yes
yes
no
yes
yes
no
yes
northwest
northwest
northwest
northeast
northeast
southwest
southeast
southwest
northeast
southeast
southwest
northeast
southwest
southwest
northwest
northwest
southeast
southeast
southeast
southwest
northeast
northwest
southeast
northwest
northeast
southeast
southwest
northeast
northeast
southwest
southeast
northeast
southeast
northwest
northeast
southwest
northeast
southeast
northwest
northwest
southeast
northwest
southwest
southwest
northeast
southeast
northeast
51
54
55
52
32
28
41
43
49
64
55
24
20
45
26
25
43
35
26
57
22
32
48
47
18
18
61
47
28
20
44
38
21
46
58
20
18
28
33
19
45
62
25
43
42
24
29
2601
2916
3025
2704
1024
784
1681
1849
2401
4096
3025
576
400
2025
676
625
1849
1225
676
3249
484
1024
2304
2209
324
324
3721
2209
784
400
1936
1444
441
2116
3364
400
324
784
1089
361
2025
3844
625
1849
1764
576
841
3
1
3
0
0
1
1
1
2
0
0
0
0
3
1
0
5
1
0
0
0
0
0
2
0
1
1
0
0
2
1
2
0
3
0
1
0
2
2
1
0
3
1
0
2
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
1
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
1
1
0
1
0
1
0
0
0
0
1
1
0
0
0
0
0
1
0
0
1
1
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
1
0
1
1
1
1
0
0
0
1
0
1
0
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
32
25
41
42
33
34
19
30
18
19
18
35
39
62
42
31
61
42
51
52
57
23
50
18
21
61
male
female
male
male
female
male
female
female
male
female
male
male
female
male
female
male
male
female
male
male
female
female
male
female
female
female
28.12
30.2
32.2
26.315
26.695
42.9
34.7
23.655
28.31
20.6
53.13
39.71
26.315
38.83
40.37
25.935
33.535
32.87
30.03
38.6
25.74
33.4
30.97
31.92
25.8
29.07
4
0
2
1
0
1
2
3
1
0
0
4
2
0
2
1
0
0
1
2
2
0
3
0
0
0
yes
yes
no
no
no
no
yes
yes
no
no
no
no
no
no
yes
no
no
no
no
no
no
no
no
no
no
yes
northwest
southwest
southwest
northwest
northwest
southwest
southwest
northwest
northeast
southwest
southeast
northeast
northwest
southeast
southeast
northwest
northeast
northeast
southeast
southwest
southeast
southwest
northwest
northeast
southwest
northwest
32
25
41
42
33
34
19
30
18
19
18
35
39
62
42
31
61
42
51
52
57
23
50
18
21
61
1024
625
1681
1764
1089
1156
361
900
324
361
324
1225
1521
3844
1764
961
3721
1764
2601
2704
3249
529
2500
324
441
3721
4
0
2
1
0
1
2
3
1
0
0
4
2
0
2
1
0
0
1
2
2
0
3
0
0
0
1
1
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
1
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
1
1
BMI[30,35) BMI>=35 Smoker*BMI[25,30) Smoker*BMI[30,35) Smoker*BMI[35+) charges
0
0
1
0
0
16884.924
1
0
0
0
0
4449.462
0
0
0
0
0 21984.47061
0
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3866.8552
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3756.6216
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8240.5896
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0 28923.13692
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2721.3208
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0 27808.7251
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1826.843
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0 11090.7178
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1 39611.7577
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1837.237
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0 2395.17155
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4149.736
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1137.011
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0 37701.8768
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38711
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35585.576
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4687.797
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0 13770.0979
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1 51194.55914
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0 15612.19335
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2302.3
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48173.361
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38709.176
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0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
36910.60803
20296.86345
12347.172
5373.36425
23563.01618
1702.4553
10806.839
3956.07145
12890.05765
5415.6612
4058.1161
41661.602
7537.1639
4718.20355
6593.5083
8442.667
26125.67477
6858.4796
4795.6568
7162.0122
10594.2257
11938.25595
60021.39897
20167.33603
12479.70895
11345.519
8515.7587
2699.56835
14449.8544
12224.35085
6985.50695
3238.4357
47269.854
49577.6624
4296.2712
3171.6149
1135.9407
5615.369
9101.798
6059.173
1633.9618
37607.5277
18648.4217
1241.565
16232.847
15828.82173
6474.013
0
0
0
0
0
0
0
0
1
0
1
1
1
0
1
1
0
0
0
0
1
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
11436.73815
11305.93455
30063.58055
10197.7722
4544.2348
3277.161
6770.1925
7337.748
10370.91255
26926.5144
10704.47
34254.05335
1880.487
8615.3
3292.52985
3021.80915
14478.33015
4747.0529
17043.3414
10959.33
2741.948
4357.04365
8283.6807
24535.69855
14283.4594
1720.3537
47403.88
8534.6718
3732.6251
38344.566
7147.4728
7133.9025
1515.3449
9301.89355
11931.12525
1964.78
1708.92575
4340.4409
5261.46945
2710.82855
62592.87309
46718.16325
3208.787
37829.7242
21259.37795
2464.6188
16115.3045
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
1
1
1
0
0
0
0
0
0
0
1
0
0
0
0
1
1
0
1
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
21472.4788
33900.653
6875.961
6940.90985
4571.41305
4536.259
36397.576
18765.87545
11272.33139
1731.677
1163.4627
19496.71917
7201.70085
12981.3457
43896.3763
4239.89265
13143.33665
7050.0213
9377.9047
10325.206
12629.1656
10795.93733
10600.5483
2205.9808
2007.945
29141.3603
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
0.930
0.864
0.863
4475
1200
ANOVA
df
Regression
Residual
Total
SS
1.5E+11
2.4E+10
1.8E+11
MS
1.5E+10
2.0E+07
Coefficients
Standard Error
2142
1162
-26
64
4
1
675
112
12274
728
142
437
216
437
192
467
1937
960
19148
949
22502
971
t Stat
1.843
-0.404
4.627
6.037
16.853
0.325
0.494
0.413
2.019
20.185
23.185
10
1189
1199
Intercept
age
age_sq
children
Smoker
BMI[25,30)
BMI[30,35)
BMI>=35
Smoker*BMI[25,30)
Smoker*BMI[30,35)
Smoker*BMI[35+)
F
Significance F
7.6E+02
0
P-value
0.066
0.686
0.000
0.000
0.000
0.745
0.621
0.680
0.044
0.000
0.000
Lower 95%
-138
-151
2
455
10845
-715
-641
-723
54
17287
20598
RESIDUAL OUTPUT
Observation
1
2
3
4
5
6
7
8
9
10
11
12
13
Predicted charges
17336.84405
6552.464044
5309.543616
5237.477073
5030.76946
9654.811033
8405.473381
7730.894736
14022.17412
3945.535022
29081.90702
3716.63467
12463.37637
Residuals
-451.9200519
-2103.002044
16674.92699
-1370.621873
-1274.14786
-1414.221433
-1123.967781
-1324.484036
14900.9628
-1224.214222
-1273.181921
-1889.79167
-1372.658568
Residuals
30000
25000
20000
15000
10000
5000
0
-5000 0
-10000
-15000
-20000
10000
20000
30000
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
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
39103.91974
3658.59022
11670.11289
3500.819552
12463.37637
14072.64448
5579.814542
3089.078417
37842.98098
7730.894736
15632.52079
15164.60827
13451.99254
4175.398197
41206.09261
38328.73374
3015.285855
6498.927356
15306.63082
39955.68005
2984.011575
16968.6256
3965.931154
41402.63333
48848.33997
3790.497821
6430.397119
7962.568608
7804.687298
7357.782997
12079.51306
4414.913513
4528.728109
41638.8669
3065.756223
4792.624996
24434.06973
37633.48797
9180.607454
49378.10023
14625.72693
35859.80872
10022.17491
6717.642164
16282.10212
5129.514192
3126.034131
507.8379603
-1821.35322
-872.7766879
-1105.648002
-1860.991368
-843.797535
-1430.078542
-1952.067417
-141.1041807
-1526.992986
-1631.386991
-712.7731164
-1183.36029
-1400.206047
-2495.092605
-2743.157738
-817.0960047
-1811.130356
-1536.532922
11238.87909
-1358.577825
-1356.432247
-1663.631154
-1628.357034
-674.9789714
-744.4358212
-1480.638419
-1690.091408
-1490.928298
-1278.111497
8550.770453
-1021.557163
-971.8058093
-2929.690897
-854.6254733
-1212.796296
-865.7977279
109.0877275
-1120.928354
-1881.605778
-1018.358185
-1556.641521
-1415.957515
-2212.979764
13884.51605
-995.8725425
-1382.820131
-20000
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
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
15842.57252
7831.450164
7207.341888
18610.38769
16409.47009
8403.662685
13307.19646
13951.14829
9642.881731
12877.94336
5314.077343
3420.145513
7503.80508
5705.348105
8646.861759
39003.31238
12297.46611
39226.26031
22077.26489
44299.51637
12412.906
8906.439826
3420.145513
11816.01662
29843.33071
7324.838686
5179.984561
13750.08936
12079.51306
24544.62221
18764.45019
7503.80508
4831.443335
3089.078417
30677.49072
6347.615405
3800.612776
5530.903561
4639.498698
50132.79668
12400.93207
13378.19998
6455.530008
3420.145513
13019.27018
14022.17412
13253.24745
-1607.500523
-1442.072314
-1287.237788
-947.2434899
168.3094079
-1604.204685
-1565.470465
-2004.52239
-1916.027731
-1521.282459
-1366.664243
-1887.675813
-932.7807304
-1264.134955
-711.5706085
-1838.148583
-1263.80441
610.2586879
-978.7108374
-720.5769734
-1339.729999
-879.7732264
-1393.171413
-873.8845685
341.6059876
-1595.833386
-1413.100761
-1644.769362
-1853.228857
-2131.973707
-2943.75119
-1317.67808
-1186.353935
18255.76828
264.7010793
-1343.762405
-1469.093776
-1653.599311
-1772.379098
-3077.264577
-1575.678372
-1496.841979
-1808.771008
-1015.411713
-1530.953228
16237.82144
-1871.922052
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
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
152
153
154
19524.88726
9880.87406
7588.87218
9693.3521
2873.263299
3244.163894
40463.66866
11321.39825
4107.953709
17336.84405
10972.21205
18718.35057
8055.683835
13608.78486
14300.92231
3126.034131
3244.163894
3502.567883
3199.826692
3502.567883
13750.08936
3553.038251
6880.171494
4856.324916
21233.00397
5988.655988
21065.98919
6713.705001
42425.54134
11292.45333
12008.50954
3800.612776
6434.444923
9548.681162
7311.683376
7831.450164
21680.39737
17226.09578
39657.60919
12244.18438
21921.34493
37841.45171
6586.634363
6381.737446
11922.18433
6667.527488
7335.005569
-417.1076639
-1279.54476
-902.4408802
-1953.0151
-1167.638799
-986.6886438
-907.1741621
-1206.389397
-722.5545595
-255.7640519
-1337.67405
14015.83573
-1973.278835
-793.339906
-684.5637084
-1493.469681
-786.9527438
-1346.886383
-1938.384692
-1456.882633
13572.6445
-1386.306251
20495.73329
-1365.775816
-2260.508971
12169.22001
-320.0000915
-1575.448301
-1704.990288
-1414.845634
-1048.814843
-1958.093776
-1309.229223
-1759.046162
-977.3398262
-754.2607644
-456.7215689
-1707.915526
-2707.35249
7505.198998
-572.6389266
-1691.96821
-1434.500363
-1353.590846
-1515.09848
-1836.897488
-1206.208119
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
3874.405337
2873.263299
6650.260041
3864.290383
50132.79668
7981.891273
12327.13951
9527.541016
13202.77708
5384.281262
8293.724441
9716.674293
42988.02419
5457.111
6928.971832
8178.383725
6062.448549
14516.73743
6138.122396
3945.535022
13087.48464
3199.826692
6964.904569
9945.54868
10425.38176
15800.0164
3199.826692
10297.05237
39103.91974
8764.41727
5129.514192
13608.78486
21461.85605
15380.42338
7881.920533
3992.535101
9928.978661
5139.655111
6347.615405
10019.34124
11283.46053
4135.731329
4782.532354
3648.475265
6421.407967
7335.005569
34621.39971
-1155.125587
-1178.466899
-1404.213041
-1008.852833
-1308.346677
-1526.028623
-1891.04351
-989.2525656
-1466.898033
-1378.858762
-874.246541
-1985.247193
765.3128634
-1475.1342
-1603.320832
-1402.422725
-1139.532649
-1959.132126
-1254.256396
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-1428.71968
-781.1292641
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-2012.465101
-1766.262411
-1601.952111
-1344.832705
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-927.8195294
-1651.995329
-1389.555554
21433.29257
-1408.936967
-2081.481569
158.2152934
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
19842.25121
14126.57119
4505.405916
13253.24745
8178.383725
10573.02704
8435.584019
15632.52079
2984.011575
14283.3635
8098.246742
20637.74502
3015.285855
17336.84405
9018.773455
39818.16525
5984.122261
12703.62133
9231.077823
29517.44074
11726.35343
14072.64448
3840.96819
3658.59022
5314.077343
48151.15369
44497.08373
6375.282382
41715.81402
14052.77862
43908.27158
6683.204352
13123.69634
34621.39971
13202.77708
18129.55246
25077.19382
37952.19999
13357.66683
19963.16637
15706.31335
9344.762597
10555.45271
3689.8645
43064.97131
8829.640177
10895.02709
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10974.08979
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15.83624812
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22456.51324
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5.72485636
12750.12508
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-845.8486884
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12.9121247
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7105.330827
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-1272.972105
-1970.4282
-208.1333125
-1563.937677
-1277.364641
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
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289
290
291
292
293
294
295
3360.545327
15031.73471
11099.96041
22042.26009
48502.46266
5506.02198
12777.4139
10995.53424
9581.018471
10306.06749
15306.63082
49109.52936
5314.077343
40120.85817
3502.567883
5969.270957
2873.263299
17336.84405
24109.25832
38549.87097
10223.25981
8161.858332
25438.91267
13812.53366
5877.885399
14203.77846
6062.448549
5804.092838
5579.814542
13276.56964
10220.44845
2984.011575
44848.34077
9931.344429
35773.11946
10294.24101
11726.35343
8293.724441
5962.526086
6347.615405
6806.26829
37168.40234
12854.62117
7905.242726
4810.309974
44771.71454
47919.49025
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289.3067143
46.71569462
-1268.89543
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