Research Question: What factors increase the likelihood that an email is classified as spam?
Introduction
Sending spam emails is a common problem in digital communication. If what makes an email more likely to be classified as spam is understood, then it can help improve filtering and security in online networks. This study is based on the question: What factors increase the likelihood that an email is classified as spam? Based on statistical modeling of real email data, I try to identify what kinds of features messages have in this case, depending on their roles in spam: line breaks, exclamation marks, and trigger words. This topic matters because spam filters are applied by everyday users, and analysis on real data can be useful to find patterns automatically used by filters.
In this study, we use the dataset available in the OpenIntro package with 3,921 email observations and 21 attributes representing the different features of each message. The dataset contains individual email records received between January and March 2012 from the Gmail account of David Diez, with all personal information removed. Key variables are whether the email was spam, how many line breaks (line_breaks), how many exclamation marks (exclaim_mess), and whether the email contained any words such as “winner” or “inherit.” Other variables involve formatting, attachments, subject line characteristics, and numeric content. I chose this topic because it’s an example of a real world problem and logistic regression is a helpful way of trying to classify which features tend to make the text spam prone. But the best thing I can glean from this analysis is to actually find patterns that differentiate spam from normal email.
Data Analysis
Before analyzing the email dataset, I first loaded the data and cleaned the variable names so they were simpler to work with. With functions such as gsub() and tolower(), I removed special characters, replaced spaces with underscores, and made all names lowercase. These all help prevent mistakes from occurring in R and hence, the dataset will be much more uniform. In this step, I also checked the format of my data. After cleaning the names, I checked the structure of the data to check not only whether the variable is there but also, importantly, if it has any missing values.
Then, I used various dplyr functions (such as group_by(), summarize(), mutate() and much more) to prepare the data for a Logistic Regression Model to run. I aggregated the dataset by the outcome variable spam then calculated summary statistics about main predictors (mean line breaks, maximum exclamation marks, percentage of the emails which contain “winner” or “inherit,” average number). For calculation of these values, na.rm = TRUE was used for taking care of missing data by eliminating incomplete cases from the calculations. This was essential in figuring out why the predictor variables vary between spam & non-spam emails and got the dataset ready for modeling.
Load packages
── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
✔ dplyr 1.1.4 ✔ readr 2.1.5
✔ forcats 1.0.0 ✔ stringr 1.5.1
✔ ggplot2 3.5.2 ✔ tibble 3.3.0
✔ lubridate 1.9.4 ✔ tidyr 1.3.1
✔ purrr 1.1.0
── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
✖ dplyr::filter() masks stats::filter()
✖ dplyr::lag() masks stats::lag()
ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library (dplyr)library (pROC)
Warning: package 'pROC' was built under R version 4.5.2
Type 'citation("pROC")' for a citation.
Attaching package: 'pROC'
The following objects are masked from 'package:stats':
cov, smooth, var
Load dataset
setwd ("C:/Users/sajut/OneDrive/Desktop/DATA_101" )<- read_csv ("email.csv" )
Rows: 3921 Columns: 21
── Column specification ────────────────────────────────────────────────────────
Delimiter: ","
chr (2): winner, number
dbl (18): spam, to_multiple, from, cc, sent_email, image, attach, dollar, i...
dttm (1): time
ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
Quick inspect
# A tibble: 6 × 21
spam to_multiple from cc sent_email time image attach
<dbl> <dbl> <dbl> <dbl> <dbl> <dttm> <dbl> <dbl>
1 0 0 1 0 0 2012-01-01 06:16:41 0 0
2 0 0 1 0 0 2012-01-01 07:03:59 0 0
3 0 0 1 0 0 2012-01-01 16:00:32 0 0
4 0 0 1 0 0 2012-01-01 09:09:49 0 0
5 0 0 1 0 0 2012-01-01 10:00:01 0 0
6 0 0 1 0 0 2012-01-01 10:04:46 0 0
# ℹ 13 more variables: dollar <dbl>, winner <chr>, inherit <dbl>, viagra <dbl>,
# password <dbl>, num_char <dbl>, line_breaks <dbl>, format <dbl>,
# re_subj <dbl>, exclaim_subj <dbl>, urgent_subj <dbl>, exclaim_mess <dbl>,
# number <chr>
spc_tbl_ [3,921 × 21] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
$ spam : num [1:3921] 0 0 0 0 0 0 0 0 0 0 ...
$ to_multiple : num [1:3921] 0 0 0 0 0 0 1 1 0 0 ...
$ from : num [1:3921] 1 1 1 1 1 1 1 1 1 1 ...
$ cc : num [1:3921] 0 0 0 0 0 0 0 1 0 0 ...
$ sent_email : num [1:3921] 0 0 0 0 0 0 1 1 0 0 ...
$ time : POSIXct[1:3921], format: "2012-01-01 06:16:41" "2012-01-01 07:03:59" ...
$ image : num [1:3921] 0 0 0 0 0 0 0 1 0 0 ...
$ attach : num [1:3921] 0 0 0 0 0 0 0 1 0 0 ...
$ dollar : num [1:3921] 0 0 4 0 0 0 0 0 0 0 ...
$ winner : chr [1:3921] "no" "no" "no" "no" ...
$ inherit : num [1:3921] 0 0 1 0 0 0 0 0 0 0 ...
$ viagra : num [1:3921] 0 0 0 0 0 0 0 0 0 0 ...
$ password : num [1:3921] 0 0 0 0 2 2 0 0 0 0 ...
$ num_char : num [1:3921] 11.37 10.5 7.77 13.26 1.23 ...
$ line_breaks : num [1:3921] 202 202 192 255 29 25 193 237 69 68 ...
$ format : num [1:3921] 1 1 1 1 0 0 1 1 0 1 ...
$ re_subj : num [1:3921] 0 0 0 0 0 0 0 0 0 0 ...
$ exclaim_subj: num [1:3921] 0 0 0 0 0 0 0 0 0 0 ...
$ urgent_subj : num [1:3921] 0 0 0 0 0 0 0 0 0 0 ...
$ exclaim_mess: num [1:3921] 0 1 6 48 1 1 1 18 1 0 ...
$ number : chr [1:3921] "big" "small" "small" "small" ...
- attr(*, "spec")=
.. cols(
.. spam = col_double(),
.. to_multiple = col_double(),
.. from = col_double(),
.. cc = col_double(),
.. sent_email = col_double(),
.. time = col_datetime(format = ""),
.. image = col_double(),
.. attach = col_double(),
.. dollar = col_double(),
.. winner = col_character(),
.. inherit = col_double(),
.. viagra = col_double(),
.. password = col_double(),
.. num_char = col_double(),
.. line_breaks = col_double(),
.. format = col_double(),
.. re_subj = col_double(),
.. exclaim_subj = col_double(),
.. urgent_subj = col_double(),
.. exclaim_mess = col_double(),
.. number = col_character()
.. )
- attr(*, "problems")=<externalptr>
Clean variable names
names (email) <- gsub ("[(). \\ -]" , "_" , names (email)) names (email) <- gsub ("_$" , "" , names (email)) names (email) <- tolower (names (email)) head (email)
# A tibble: 6 × 21
spam to_multiple from cc sent_email time image attach
<dbl> <dbl> <dbl> <dbl> <dbl> <dttm> <dbl> <dbl>
1 0 0 1 0 0 2012-01-01 06:16:41 0 0
2 0 0 1 0 0 2012-01-01 07:03:59 0 0
3 0 0 1 0 0 2012-01-01 16:00:32 0 0
4 0 0 1 0 0 2012-01-01 09:09:49 0 0
5 0 0 1 0 0 2012-01-01 10:00:01 0 0
6 0 0 1 0 0 2012-01-01 10:04:46 0 0
# ℹ 13 more variables: dollar <dbl>, winner <chr>, inherit <dbl>, viagra <dbl>,
# password <dbl>, num_char <dbl>, line_breaks <dbl>, format <dbl>,
# re_subj <dbl>, exclaim_subj <dbl>, urgent_subj <dbl>, exclaim_mess <dbl>,
# number <chr>
Select variables, handle missing values, and convert types
|> group_by (spam) |> summarize (n = n (),mean_line_breaks = mean (line_breaks, na.rm = TRUE ),max_exclaim_mess = max (exclaim_mess, na.rm = TRUE ),percent_winner = sum (winner == 1 , na.rm = TRUE ) / n (),percent_inherit = sum (inherit == 1 , na.rm = TRUE ) / n (),mean_number = mean (number, na.rm = TRUE )
Warning: There were 2 warnings in `summarize()`.
The first warning was:
ℹ In argument: `mean_number = mean(number, na.rm = TRUE)`.
ℹ In group 1: `spam = 0`.
Caused by warning in `mean.default()`:
! argument is not numeric or logical: returning NA
ℹ Run `dplyr::last_dplyr_warnings()` to see the 1 remaining warning.
# A tibble: 2 × 7
spam n mean_line_breaks max_exclaim_mess percent_winner percent_inherit
<dbl> <int> <dbl> <dbl> <dbl> <dbl>
1 0 3554 244. 1236 0 0.0307
2 1 367 105. 1209 0 0.0354
# ℹ 1 more variable: mean_number <dbl>
To know the number of NA(s) in my dataset use
Before analyzing the variable “winner,” I converted it into a factor and checked for missing values to make sure that it was ready for analysis. I also examined the output from xtabs() to see how it relates to spam emails. Most of the emails (3510) did not contain “winner” and were not spam, while only 44 non-spam ones contained this word. Of spam emails, 347 did not contain “winner,” but 20 did. “winner” is infrequently used; it is present more often in spam emails than in legitimate ones. This indicates that an email containing this term is more likely to be classified as spam. Hence, it supports the use of “winner” as a predictor in the logistic regression model.
#email$winner <- ifelse(email$winner == 1, "yes", "no")
Convert to a factor
$ winner <- as.factor (email$ winner)
is.na (email$ winner) | is.na (email$ winner),]
# A tibble: 0 × 21
# ℹ 21 variables: spam <dbl>, to_multiple <dbl>, from <dbl>, cc <dbl>,
# sent_email <dbl>, time <dttm>, image <dbl>, attach <dbl>, dollar <dbl>,
# winner <fct>, inherit <dbl>, viagra <dbl>, password <dbl>, num_char <dbl>,
# line_breaks <dbl>, format <dbl>, re_subj <dbl>, exclaim_subj <dbl>,
# urgent_subj <dbl>, exclaim_mess <dbl>, number <chr>
xtabs (~ spam + winner, data= email)
winner
spam no yes
0 3510 44
1 347 20
Statistical Analysis
To address the research question: “which features are associated with a higher probability that the email will be classified as spam”, I carried out a logistic regression model. Logistic regression, of course, was appropriate because the dependent variable, spam, is binary (0 = not spam, 1 = spam). This method gives a rough estimate of how things like line_breaks, exclaim_mess, winner, inherit, and number impact the log-odds of an email being spam. I first made a two-level factor for the winner variable so that the model could properly treat it as a categorical variable. The final model was then fitted using glm(family = binomial), and then I took the model summary, pseudo R-squared, and the direction and significance of the coefficients to get into how each variable contributes to predicting spam. The coefficients were interpreted in terms of log-odds, which helps decide if each element makes the probability the email is spam or not.
To assess the performance of my model, I developed a few diagnostics frequently used for logistic regression. Using generated probabilities, I fitted classes to a 0.5 threshold and made a confusion matrix for accuracy, sensitivity, and specificity evaluation. And then I created a ROC curve and made AUC value to track how well the model picked out spam vs non-spam emails. The curve of ROC gives a visualization of the trade-off of true positive and false positive rates, while the AUC represents a single metric of the overall performance. These diagnostic checks make sense, as they confirm whether the logistic model is good enough and how well it can predict spam.
Logistic Regression Model
<- glm (spam ~ line_breaks + exclaim_mess + winner + inherit + number, data = email, family = binomial)summary (logistic)
Call:
glm(formula = spam ~ line_breaks + exclaim_mess + winner + inherit +
number, family = binomial, data = email)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) -1.6300104 0.1762815 -9.247 < 2e-16 ***
line_breaks -0.0036025 0.0005126 -7.027 2.10e-12 ***
exclaim_mess 0.0107952 0.0016937 6.374 1.84e-10 ***
winneryes 2.0462322 0.3111301 6.577 4.81e-11 ***
inherit 0.3892669 0.1513819 2.571 0.010128 *
numbernone 0.7266518 0.1955145 3.717 0.000202 ***
numbersmall -0.6552543 0.1766146 -3.710 0.000207 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for binomial family taken to be 1)
Null deviance: 2437.2 on 3920 degrees of freedom
Residual deviance: 2136.0 on 3914 degrees of freedom
AIC: 2150
Number of Fisher Scoring iterations: 7
<- 1 - (logistic$ deviance / logistic$ null.deviance)
Interpretation
The logistic regression model shows that all the variables line_breaks, exclaim_mess, winner, inherit, and number those are help to predict whether an email is spam. Emails with more line breaks are slightly less likely to be spam, while emails with more exclamation marks are more likely to be spam. The strongest effect comes from the word “winner,” which greatly increases the chance that an email is spam. Emails that mention “inherit” also have a higher chance of being spam. For the number variable, emails with no numbers are more spam like, while emails with small numbers are less likely to be spam. The pseudo R-squared value is 0.1236, meaning the model explains about 12% of the difference between spam and non spam emails. Even though this number is not very high, it is normal for spam data and shows that the predictors still provide useful information.
<- logistic$ model<- data.frame (probability.of.spam = logistic$ fitted.values,spam = model_data$ spam
probability.of.spam spam
1 8.645456e-02 0
2 4.732779e-02 0
3 7.426794e-02 0
4 6.382059e-02 0
5 2.695246e-01 0
6 2.723711e-01 0
7 8.992946e-02 0
8 4.998560e-02 0
9 7.425858e-02 0
10 7.376564e-02 0
11 8.676922e-02 0
12 7.181974e-02 0
13 8.963606e-02 0
14 3.069155e-02 0
15 5.865413e-02 0
16 1.964461e-02 0
17 3.515430e-02 0
18 4.327977e-02 0
19 8.451255e-02 0
20 2.434387e-01 0
21 1.296748e-01 0
22 5.593063e-02 0
23 1.378524e-02 0
24 8.937504e-02 0
25 2.401366e-01 0
26 8.042535e-02 0
27 7.134093e-02 0
28 7.475541e-02 0
29 2.752387e-01 0
30 8.042172e-02 0
31 2.759579e-01 0
32 6.761529e-02 0
33 6.299910e-02 0
34 2.513007e-02 0
35 8.367918e-02 0
36 8.578919e-03 0
37 1.495563e-01 0
38 5.407964e-02 0
39 7.728563e-02 0
40 6.215310e-02 0
41 3.928933e-02 0
42 8.042354e-02 0
43 3.968973e-02 0
44 3.795189e-02 0
45 8.966867e-02 0
46 1.647457e-03 0
47 5.120573e-02 0
48 2.709479e-01 0
49 5.749366e-02 0
50 3.384272e-02 0
51 3.100658e-02 0
52 2.810224e-01 0
53 2.862180e-02 0
54 5.226551e-02 0
55 3.455418e-02 0
56 8.849935e-02 0
57 8.504249e-02 0
58 2.610987e-01 0
59 7.426794e-02 0
60 8.820917e-02 0
61 5.353069e-02 0
62 6.738930e-02 0
63 1.594211e-02 0
64 4.699573e-02 0
65 2.469047e-02 0
66 8.313118e-02 0
67 8.676922e-02 0
68 8.908228e-02 0
69 7.376228e-02 0
70 3.779957e-02 0
71 6.110857e-02 0
72 3.511895e-01 0
73 2.688160e-01 0
74 8.591858e-02 0
75 8.849935e-02 0
76 1.393295e-02 0
77 7.728651e-02 0
78 5.426612e-02 0
79 7.351653e-02 0
80 5.173516e-02 0
81 2.766783e-01 0
82 6.450494e-02 0
83 6.472267e-02 0
84 1.031049e-01 0
85 2.745207e-01 0
86 7.475286e-02 0
87 8.069310e-02 0
88 3.997584e-02 0
89 2.933494e-03 0
90 8.849142e-02 0
91 3.665824e-02 0
92 1.613697e-01 0
93 8.619806e-02 0
94 8.647059e-02 0
95 5.730141e-02 0
96 8.149846e-02 0
97 2.773949e-01 0
98 5.749566e-02 0
99 7.039293e-02 0
100 6.111139e-02 0
101 7.626426e-02 0
102 8.705706e-02 0
103 5.067434e-02 0
104 6.233934e-02 0
105 4.253803e-02 0
106 7.302979e-02 0
107 6.557295e-02 0
108 7.500240e-02 0
109 6.648395e-02 0
110 6.493512e-02 0
111 6.829982e-02 0
112 6.559894e-02 0
113 9.201579e-02 0
114 2.612766e-02 0
115 6.385510e-02 0
116 1.501056e-02 0
117 8.369879e-03 0
118 5.947788e-02 0
119 8.507358e-02 0
120 5.144222e-03 0
121 6.235767e-02 0
122 1.117324e-01 0
123 3.101692e-02 0
124 4.387677e-02 0
125 2.334922e-02 0
126 6.876053e-02 0
127 3.513889e-02 0
128 9.725981e-02 0
129 8.507167e-02 0
130 8.507167e-02 0
131 3.442929e-02 0
132 3.442929e-02 0
133 9.087020e-03 0
134 9.081384e-02 0
135 2.599476e-03 0
136 7.472692e-02 0
137 1.376019e-01 0
138 4.748882e-02 0
139 6.626147e-02 0
140 5.988428e-02 0
141 8.759456e-02 0
142 1.887516e-01 0
143 5.118962e-02 0
144 1.875419e-02 0
145 6.233503e-02 0
146 8.846613e-02 0
147 7.426794e-02 0
148 6.191275e-02 0
149 7.401215e-02 0
150 2.772027e-02 0
151 7.039293e-02 0
152 6.087585e-02 0
153 6.070070e-02 0
154 5.788533e-02 0
155 7.806076e-02 0
156 6.426091e-02 0
157 8.908228e-02 0
158 6.852785e-02 0
159 5.768384e-02 0
160 5.137984e-02 0
161 4.123644e-02 0
162 6.321137e-02 0
163 8.619999e-02 0
164 2.824730e-01 0
165 7.351820e-02 0
166 6.363716e-02 0
167 7.230235e-02 0
168 6.830060e-02 0
169 7.278711e-02 0
170 2.189018e-02 0
171 8.203665e-02 0
172 6.342648e-02 0
173 6.968899e-02 0
174 2.238372e-02 0
175 3.301642e-02 0
176 8.788783e-02 0
177 4.903957e-05 0
178 5.887822e-02 0
179 7.158078e-02 0
180 8.175747e-02 0
181 8.042535e-02 0
182 8.846613e-02 0
183 6.007077e-02 0
184 6.537997e-02 0
185 5.182177e-03 0
186 2.178878e-01 0
187 7.426794e-02 0
188 6.191275e-02 0
189 7.832041e-02 0
190 7.910413e-02 0
191 3.779957e-02 0
192 6.173017e-02 0
193 6.494109e-02 0
194 7.626426e-02 0
195 8.015842e-02 0
196 8.879038e-02 0
197 7.884210e-02 0
198 8.258366e-02 0
199 2.514794e-01 0
200 8.846613e-02 0
201 8.763141e-02 0
202 9.025855e-02 0
203 8.420532e-02 0
204 1.244844e-01 0
205 8.258273e-02 0
206 2.792696e-02 0
207 5.867688e-02 0
208 4.588774e-02 0
209 6.429460e-02 0
210 1.500151e-01 0
211 1.293090e-02 0
212 3.956173e-02 0
213 1.288652e-01 0
214 6.385510e-02 0
215 7.802670e-02 0
216 5.389691e-02 0
217 3.928980e-02 0
218 6.131913e-02 0
219 3.942600e-02 0
220 8.535249e-02 0
221 6.342576e-02 0
222 8.591858e-02 0
223 1.268539e-01 0
224 9.445214e-02 0
225 6.342576e-02 0
226 3.956266e-02 0
227 5.808412e-02 0
228 6.342576e-02 0
229 6.830060e-02 0
230 8.762551e-02 0
231 5.788734e-02 0
232 7.909518e-02 0
233 5.968110e-02 0
234 7.626339e-02 0
235 1.157238e-01 0
236 3.915404e-02 0
237 1.268512e-01 0
238 7.277882e-02 0
239 5.866941e-02 0
240 6.191275e-02 0
241 2.649525e-02 0
242 6.364009e-02 0
243 6.342576e-02 0
244 7.015515e-02 0
245 4.683246e-02 0
246 5.575140e-02 0
247 4.588720e-02 0
248 6.671324e-02 0
249 6.090572e-02 0
250 5.633549e-02 0
251 5.927599e-02 0
252 3.577718e-02 0
253 8.395865e-02 0
254 8.619999e-02 0
255 6.321209e-02 0
256 6.830060e-02 0
257 7.377410e-02 0
258 2.576386e-01 0
259 6.738930e-02 0
260 1.233087e-01 0
261 6.876053e-02 0
262 6.761296e-02 0
263 6.922331e-02 0
264 7.651757e-02 0
265 2.788464e-01 0
266 6.028841e-02 0
267 7.910413e-02 0
268 4.878875e-02 0
269 2.705819e-02 0
270 4.510342e-02 0
271 7.960130e-02 0
272 2.851143e-02 0
273 7.910055e-02 0
274 6.648929e-02 0
275 5.443738e-02 0
276 6.236414e-02 0
277 5.298576e-02 0
278 6.342576e-02 0
279 2.734809e-02 0
280 4.283447e-02 0
281 7.426794e-02 0
282 1.657566e-02 0
283 8.016023e-02 0
284 3.969978e-02 0
285 7.910413e-02 0
286 9.170399e-02 0
287 2.781226e-01 0
288 8.648612e-02 0
289 8.012625e-02 0
290 5.426612e-02 0
291 4.781691e-02 0
292 7.884210e-02 0
293 7.400794e-02 0
294 3.956266e-02 0
295 6.320409e-02 0
296 2.832137e-01 0
297 2.788464e-01 0
298 6.342576e-02 0
299 2.868795e-01 0
300 1.432543e-01 0
301 2.839456e-01 0
302 2.839456e-01 0
303 6.215310e-02 0
304 5.947925e-02 0
305 2.611011e-01 0
306 7.910234e-02 0
307 6.151475e-02 0
308 5.119439e-02 0
309 8.479265e-02 0
310 2.752314e-01 0
311 8.423614e-02 0
312 3.942554e-02 0
313 2.810249e-01 0
314 5.244668e-02 0
315 8.875806e-02 0
316 6.538679e-02 0
317 1.964461e-02 0
318 6.968899e-02 0
319 5.536303e-02 0
320 4.115123e-01 0
321 1.795053e-03 0
322 8.879038e-02 0
323 4.946533e-02 0
324 3.463082e-01 0
325 2.802976e-01 0
326 6.385584e-02 0
327 6.494109e-02 0
328 3.967845e-04 0
329 5.926914e-02 0
330 8.734381e-02 0
331 4.897482e-02 0
332 1.021098e-01 0
333 2.730881e-01 0
334 1.588129e-01 0
335 3.325749e-02 0
336 2.759579e-01 0
337 6.806704e-02 0
338 6.648471e-02 0
339 2.270314e-02 0
340 1.367491e-01 0
341 7.600654e-02 0
342 4.748826e-02 0
343 5.926777e-02 0
344 7.936606e-02 0
345 7.936606e-02 0
346 7.754293e-02 0
347 6.582086e-02 0
348 4.357908e-02 0
349 7.501526e-02 0
350 7.157425e-02 0
351 2.013280e-02 0
352 6.194487e-02 0
353 3.302701e-02 0
354 1.051221e-01 0
355 1.371735e-01 0
356 8.875607e-02 0
357 1.240897e-01 0
358 7.906787e-02 0
359 8.340618e-02 0
360 5.966800e-02 0
361 5.279975e-02 0
362 2.759579e-01 0
363 6.895959e-02 0
364 1.131755e-01 0
365 1.978575e-02 0
366 7.936606e-02 0
367 7.936606e-02 0
368 7.936606e-02 0
369 7.910323e-02 0
370 5.749632e-02 0
371 5.867824e-02 0
372 6.534055e-02 0
373 2.617967e-01 0
374 7.450746e-02 0
375 2.788464e-01 0
376 8.285701e-02 0
377 6.364082e-02 0
378 7.626512e-02 0
379 2.474417e-01 0
380 8.122736e-02 0
381 6.278678e-02 0
382 5.867688e-02 0
383 5.729345e-02 0
384 5.633549e-02 0
385 5.633549e-02 0
386 5.633549e-02 0
387 5.633549e-02 0
388 6.626604e-02 0
389 6.152752e-02 0
390 4.017334e-03 0
391 7.793432e-03 0
392 6.560804e-02 0
393 2.822118e-02 0
394 7.500496e-02 0
395 7.278380e-02 0
396 4.864260e-02 0
397 5.749632e-02 0
398 6.537397e-02 0
399 2.795665e-01 0
400 3.112463e-02 0
401 5.907132e-02 0
402 4.357294e-02 0
403 5.536527e-02 0
404 7.175406e-03 0
405 2.854078e-01 0
406 2.160700e-02 0
407 2.898365e-01 0
408 1.611235e-02 0
409 8.846613e-02 0
410 6.363204e-02 0
411 6.363789e-02 0
412 2.795714e-01 0
413 4.897940e-02 0
414 4.982527e-02 0
415 8.535441e-02 0
416 3.200595e-02 0
417 7.134174e-02 0
418 8.313118e-02 0
419 7.134174e-02 0
420 2.089322e-01 0
421 5.828018e-02 0
422 2.810249e-01 0
423 7.426879e-02 0
424 5.538553e-02 0
425 7.727687e-02 0
426 5.788533e-02 0
427 8.563511e-02 0
428 6.257585e-02 0
429 6.008742e-02 0
430 6.945579e-02 0
431 5.482345e-02 0
432 5.614363e-02 0
433 4.312831e-02 0
434 4.541688e-02 0
435 1.373635e-02 0
436 2.970379e-04 0
437 1.669634e-02 0
438 4.300715e-03 0
439 7.501526e-02 0
440 2.795714e-01 0
441 8.096074e-02 0
442 9.414447e-02 0
443 9.353181e-02 0
444 8.096074e-02 0
445 8.096074e-02 0
446 8.096074e-02 0
447 6.992051e-02 0
448 7.963058e-02 0
449 7.134174e-02 0
450 6.626452e-02 0
451 8.313118e-02 0
452 6.992211e-02 0
453 8.849637e-02 1
454 2.902309e-02 1
455 7.600827e-02 1
456 2.631915e-01 1
457 7.600827e-02 0
458 7.508679e-01 0
459 2.868845e-01 1
460 2.868845e-01 1
461 1.146905e-01 1
462 3.056464e-03 1
463 8.849935e-02 1
464 2.902309e-02 1
465 2.723687e-01 1
466 6.899077e-02 1
467 7.329382e-01 1
468 7.936696e-02 1
469 1.284721e-01 1
470 8.705608e-02 1
471 2.723735e-01 1
472 2.773999e-01 1
473 9.325646e-02 1
474 1.556112e-01 1
475 2.788464e-01 1
476 7.884210e-02 1
477 2.876221e-01 1
478 2.868845e-01 1
479 2.730856e-01 1
480 8.996217e-02 1
481 8.563511e-02 1
482 3.975810e-01 1
483 3.975810e-01 1
484 2.832137e-01 1
485 2.631915e-01 1
486 7.936696e-02 0
487 8.878939e-02 0
488 6.899077e-02 0
489 2.730881e-01 0
490 5.711469e-01 0
491 3.056464e-03 0
492 2.846786e-01 0
493 2.868845e-01 0
494 2.745182e-01 0
495 2.839456e-01 0
496 6.450494e-02 0
497 8.878939e-02 0
498 8.849935e-02 0
499 2.752387e-01 0
500 2.861481e-01 0
501 2.817533e-01 0
502 8.966667e-02 0
503 1.608894e-01 0
504 7.182056e-02 0
505 2.215937e-01 1
506 8.878939e-02 0
507 2.723735e-01 0
508 2.861481e-01 0
509 8.820819e-02 0
510 1.477328e-01 0
511 2.730881e-01 0
512 8.878939e-02 0
513 7.278463e-02 0
514 8.591858e-02 0
515 8.878939e-02 0
516 2.234614e-01 0
517 8.878939e-02 0
518 8.149846e-02 0
519 6.090151e-02 0
520 5.946619e-02 0
521 7.376480e-02 0
522 6.364009e-02 0
523 7.131446e-02 0
524 6.407079e-02 0
525 8.395865e-02 0
526 8.506976e-02 0
527 1.172142e-01 0
528 5.769119e-02 0
529 5.154550e-02 0
530 4.430819e-02 0
531 1.149960e-01 0
532 4.372948e-02 0
533 5.848639e-02 0
534 7.525614e-02 0
535 6.784276e-02 0
536 5.442504e-02 0
537 5.424309e-02 0
538 8.340618e-02 0
539 6.604196e-02 0
540 6.874637e-02 0
541 3.431462e-02 0
542 2.183849e-02 0
543 1.230198e-02 0
544 6.152043e-02 0
545 6.992211e-02 0
546 8.736626e-03 0
547 6.950247e-03 0
548 7.450746e-02 0
549 3.834937e-02 0
550 7.501526e-02 0
551 7.933597e-02 0
552 6.876053e-02 0
553 6.783965e-02 0
554 6.783965e-02 0
555 1.373635e-02 0
556 6.922252e-02 0
557 6.693712e-02 0
558 6.968899e-02 0
559 5.690027e-02 0
560 4.150341e-02 0
561 2.795714e-01 0
562 6.875974e-02 0
563 1.125548e-02 0
564 8.648612e-02 0
565 6.897893e-02 0
566 5.085860e-02 0
567 5.614428e-02 0
568 1.272562e-01 0
569 5.576175e-02 0
570 2.645840e-01 0
571 9.085191e-02 0
572 5.481963e-02 0
573 2.854028e-01 0
574 1.523232e-01 0
575 5.887822e-02 0
576 7.600827e-02 0
577 1.268594e-01 0
578 2.745158e-01 0
579 2.487859e-01 0
580 2.832137e-01 0
581 2.344122e-03 0
582 8.724555e-03 0
583 5.371413e-02 0
584 2.810249e-01 0
585 2.862180e-02 0
586 5.388626e-02 0
587 8.313118e-02 0
588 6.992211e-02 0
589 1.523264e-01 0
590 1.252718e-01 0
591 7.858086e-02 0
592 2.802976e-01 0
593 8.620193e-02 0
594 6.278461e-02 0
595 4.798232e-02 0
596 5.280963e-02 0
597 4.588720e-02 0
598 5.767850e-03 0
599 4.896452e-02 0
600 8.507167e-02 0
601 3.515430e-02 0
602 7.601172e-02 0
603 8.368012e-02 0
604 8.395865e-02 0
605 7.402148e-02 0
606 3.384231e-02 0
607 7.963058e-02 0
608 2.802976e-01 0
609 8.820917e-02 0
610 2.824829e-01 0
611 8.791986e-02 0
612 8.368106e-02 0
613 2.795714e-01 0
614 2.666946e-01 0
615 7.906697e-02 0
616 2.854078e-01 0
617 1.556112e-01 0
618 6.853021e-02 0
619 2.883557e-01 0
620 6.582162e-02 0
621 1.817390e-02 0
622 6.648242e-02 0
623 5.672040e-02 0
624 5.103278e-02 0
625 8.620193e-02 0
626 3.928933e-02 0
627 3.349032e-02 0
628 3.395909e-02 0
629 6.342648e-02 0
630 6.471523e-02 0
631 9.055074e-02 0
632 5.828153e-02 0
633 3.691353e-02 0
634 6.648776e-02 0
635 5.405983e-02 0
636 7.831154e-02 0
637 5.788801e-02 0
638 1.003871e-02 0
639 2.763771e-02 0
640 1.321381e-01 0
641 2.802976e-01 0
642 2.470276e-02 0
643 6.215310e-02 0
644 5.033942e-02 0
645 2.812591e-02 0
646 8.069310e-02 0
647 5.867756e-02 0
648 2.824829e-01 0
649 2.028366e-03 0
650 6.170988e-02 0
651 4.526095e-02 0
652 6.899077e-02 0
653 7.351988e-02 0
654 4.448789e-02 0
655 5.334846e-02 0
656 9.025653e-02 0
657 5.407901e-02 0
658 6.579554e-02 0
659 6.130286e-02 0
660 8.846613e-02 0
661 6.931460e-05 0
662 8.258366e-02 0
663 2.734548e-02 0
664 6.193630e-02 0
665 8.619999e-02 0
666 7.086344e-02 0
667 4.195697e-02 0
668 5.868508e-02 0
669 7.525186e-02 0
670 1.363429e-02 0
671 6.131913e-02 0
672 4.122016e-02 0
673 2.861380e-01 0
674 7.253444e-02 0
675 2.766783e-01 0
676 6.007909e-02 0
677 3.177118e-02 0
678 2.881024e-02 0
679 6.875974e-02 0
680 3.279495e-02 0
681 1.333824e-01 0
682 2.830915e-02 0
683 8.620193e-02 0
684 2.495117e-02 0
685 8.479360e-02 0
686 2.652903e-01 0
687 5.671251e-02 0
688 6.992291e-02 0
689 5.332110e-03 0
690 2.759579e-01 0
691 1.078619e-01 0
692 6.945261e-02 0
693 4.894477e-02 0
694 2.049665e-02 0
695 8.285515e-02 0
696 6.582162e-02 0
697 8.647642e-02 0
698 1.584659e-01 0
699 3.337430e-02 0
700 2.376405e-01 0
701 8.176761e-02 0
702 5.613907e-02 0
703 6.738930e-02 0
704 3.268437e-02 0
705 2.902586e-02 0
706 1.608728e-01 0
707 6.194487e-02 0
708 7.962878e-02 0
709 1.212683e-02 0
710 7.278380e-02 0
711 7.475201e-02 0
712 1.057739e-01 0
713 8.337094e-02 0
714 2.759579e-01 0
715 7.832041e-02 0
716 7.351988e-02 0
717 3.928980e-02 0
718 6.853021e-02 0
719 4.060809e-03 0
720 3.928980e-02 0
721 7.352915e-02 0
722 3.982842e-02 0
723 1.413095e-02 0
724 7.352915e-02 0
725 2.514794e-01 0
726 8.122553e-02 0
727 6.896590e-02 0
728 5.905595e-02 0
729 8.677117e-02 0
730 8.423235e-02 0
731 8.175562e-02 0
732 3.955986e-02 0
733 8.340336e-02 0
734 1.110120e-01 0
735 6.406931e-02 0
736 2.028104e-02 0
737 6.671247e-02 0
738 1.468063e-01 0
739 6.360823e-02 0
740 1.957747e-02 0
741 8.620096e-02 0
742 1.943919e-02 0
743 6.407153e-02 0
744 8.648418e-02 0
745 7.884210e-02 0
746 3.467497e-02 0
747 5.650666e-02 0
748 1.950797e-02 0
749 4.714822e-02 0
750 2.013813e-02 0
751 5.173516e-02 0
752 7.832041e-02 0
753 8.563607e-02 0
754 4.402918e-02 0
755 8.563607e-02 0
756 3.969884e-02 0
757 3.808229e-02 0
758 3.337470e-02 0
759 2.792896e-02 0
760 2.254329e-02 0
761 8.677117e-02 0
762 8.937504e-02 0
763 5.768918e-02 0
764 7.466163e-03 0
765 2.839456e-01 0
766 2.868845e-01 0
767 2.006717e-02 0
768 5.652731e-02 0
769 5.371350e-02 0
770 1.896452e-02 0
771 2.494505e-01 0
772 8.734381e-02 0
773 2.832137e-01 0
774 5.138768e-02 0
775 2.846786e-01 0
776 1.324309e-01 0
777 7.883853e-02 0
778 8.258366e-02 0
779 2.824829e-01 0
780 2.752387e-01 0
781 6.472267e-02 0
782 7.475626e-02 0
783 5.769186e-02 0
784 1.162194e-02 0
785 1.086141e-02 0
786 5.768918e-02 0
787 8.932054e-02 0
788 4.781411e-02 0
789 1.051842e-02 0
790 1.033260e-02 0
791 2.817533e-01 0
792 7.910144e-02 0
793 6.829982e-02 0
794 8.069310e-02 0
795 7.134174e-02 0
796 8.255340e-02 0
797 5.482281e-02 0
798 1.113557e-02 0
799 7.725802e-02 0
800 8.677117e-02 0
801 5.652731e-02 0
802 7.039132e-02 0
803 2.824730e-01 0
804 6.451242e-02 0
805 1.495501e-01 0
806 5.988290e-02 0
807 1.371691e-01 0
808 5.769119e-02 0
809 4.914633e-02 0
810 6.493885e-02 0
811 1.093896e-02 0
812 1.089039e-01 0
813 1.117275e-01 0
814 2.461199e-02 0
815 7.475286e-02 0
816 8.820819e-02 0
817 8.846613e-02 0
818 4.764312e-02 0
819 4.179048e-03 0
820 6.922173e-02 0
821 3.970024e-02 0
822 8.176761e-02 0
823 2.709455e-01 0
824 3.572507e-01 0
825 4.296295e-02 0
826 5.887686e-02 0
827 1.659054e-03 0
828 7.351318e-02 0
829 2.846786e-01 0
830 7.575909e-02 0
831 1.240897e-01 0
832 8.176761e-02 0
833 2.702345e-01 0
834 7.550380e-02 0
835 2.576410e-01 0
836 1.965542e-03 0
837 2.738038e-01 0
838 3.874902e-02 0
839 9.417553e-03 0
840 7.426879e-02 0
841 3.438629e-01 0
842 7.425858e-02 0
843 1.978290e-02 0
844 7.754293e-02 0
845 3.601440e-02 0
846 7.832041e-02 0
847 4.965384e-02 0
848 3.122099e-02 0
849 2.576410e-01 0
850 8.309324e-02 0
851 5.867620e-02 0
852 7.475626e-02 0
853 5.143971e-03 0
854 5.143971e-03 0
855 1.639594e-02 0
856 5.016631e-02 0
857 6.407005e-02 0
858 6.049144e-02 0
859 4.572652e-02 0
860 5.051192e-02 0
861 7.651844e-02 0
862 2.832137e-01 0
863 8.018665e-02 0
864 2.681061e-01 0
865 8.149478e-02 0
866 4.297736e-02 0
867 1.174660e-02 0
868 1.141656e-02 0
869 1.121519e-02 0
870 4.684123e-02 0
871 1.121519e-02 0
872 1.007789e-02 0
873 1.086128e-02 0
874 1.093883e-02 0
875 5.988013e-02 0
876 2.795665e-01 0
877 9.794391e-03 0
878 3.167017e-02 0
879 1.153947e-02 0
880 4.138451e-02 0
881 2.681061e-01 0
882 8.313118e-02 0
883 6.992211e-02 0
884 6.515869e-02 0
885 3.565311e-02 0
886 7.402148e-02 0
887 1.153947e-02 0
888 6.945499e-02 0
889 3.613973e-01 0
890 1.113570e-02 0
891 1.105664e-02 0
892 1.640318e-02 0
893 2.817533e-01 0
894 1.086141e-02 0
895 1.093896e-02 0
896 8.734381e-02 0
897 7.728651e-02 0
898 5.208553e-02 0
899 6.852864e-02 0
900 3.563158e-02 0
901 1.044383e-02 0
902 6.215310e-02 0
903 9.690129e-03 0
904 3.928980e-02 0
905 8.203943e-02 0
906 8.904488e-02 0
907 3.177478e-02 0
908 5.007378e-04 0
909 2.586118e-01 0
910 3.026935e-02 0
911 6.852864e-02 0
912 7.015274e-02 0
913 2.802976e-01 0
914 6.385143e-02 0
915 9.506808e-02 0
916 6.132404e-03 0
917 7.519744e-03 0
918 4.224356e-02 0
919 2.558563e-01 0
920 3.178310e-02 0
921 4.402866e-02 0
922 1.129537e-02 0
923 8.313025e-02 0
924 8.258087e-02 0
925 6.560045e-02 0
926 8.820917e-02 0
927 4.717009e-02 0
928 7.500496e-02 0
929 2.824829e-01 0
930 7.805899e-02 0
931 5.226794e-02 0
932 9.864516e-03 0
933 6.604272e-02 0
934 2.839456e-01 0
935 2.773137e-02 0
936 7.780189e-02 0
937 5.298268e-02 0
938 7.327153e-02 0
939 6.922331e-02 0
940 7.205862e-02 0
941 2.963987e-02 0
942 3.888342e-02 0
943 7.725627e-02 0
944 2.501348e-01 0
945 8.563607e-02 0
946 3.177365e-02 0
947 2.709479e-01 0
948 2.709479e-01 0
949 2.702369e-01 0
950 2.709479e-01 0
951 2.709479e-01 0
952 2.709479e-01 0
953 2.709479e-01 0
954 2.709479e-01 0
955 2.709479e-01 0
956 2.709479e-01 0
957 2.709479e-01 0
958 2.709479e-01 0
959 8.966767e-02 0
960 5.669837e-02 0
961 2.795714e-01 0
962 9.055378e-02 0
963 2.766759e-01 0
964 8.705706e-02 0
965 1.090018e-02 0
966 1.055611e-02 0
967 1.459276e-01 0
968 9.970757e-03 0
969 2.035005e-02 0
970 9.284070e-03 0
971 9.485005e-03 0
972 8.644262e-03 0
973 6.321209e-02 0
974 8.644262e-03 0
975 1.560851e-01 0
976 1.551384e-01 0
977 1.551384e-01 0
978 1.551384e-01 0
979 1.551384e-01 0
980 1.560851e-01 0
981 4.809034e-04 0
982 7.254188e-02 0
983 7.015675e-02 0
984 7.110263e-02 0
985 7.062823e-02 0
986 7.086506e-02 0
987 7.110263e-02 0
988 5.155391e-02 0
989 8.521645e-03 0
990 7.110263e-02 0
991 8.400651e-03 0
992 6.826033e-02 0
993 7.110263e-02 0
994 2.393354e-02 0
995 1.527921e-01 0
996 1.233732e-01 0
997 4.749048e-02 0
998 5.848639e-02 0
999 9.201374e-02 0
1000 1.605631e-02 0
1001 7.884120e-02 0
1002 1.206665e-01 0
1003 6.215453e-02 0
1004 3.407464e-02 0
1005 4.749048e-02 0
1006 4.749048e-02 0
1007 7.107381e-02 0
1008 2.384696e-02 0
1009 4.311233e-02 0
1010 7.803024e-02 0
1011 7.110263e-02 0
1012 2.824829e-01 0
1013 8.878839e-02 0
1014 8.192476e-04 0
1015 7.463887e-03 0
1016 7.351988e-02 0
1017 8.820819e-02 0
1018 8.042626e-02 0
1019 2.839456e-01 0
1020 7.038971e-02 0
1021 7.849248e-03 0
1022 6.648929e-02 0
1023 2.106108e-01 0
1024 2.846786e-01 0
1025 5.190855e-02 0
1026 8.340430e-02 0
1027 4.024947e-02 0
1028 8.791986e-02 0
1029 2.976165e-01 0
1030 8.677117e-02 0
1031 8.096074e-02 0
1032 2.854128e-01 0
1033 8.705706e-02 0
1034 7.651930e-02 0
1035 7.400794e-02 0
1036 3.443379e-02 0
1037 9.085089e-02 0
1038 2.542110e-01 0
1039 8.368106e-02 0
1040 7.302895e-02 0
1041 6.472118e-02 0
1042 2.810249e-01 0
1043 2.434350e-02 0
1044 1.350569e-01 0
1045 6.407079e-02 0
1046 8.313118e-02 0
1047 6.992211e-02 0
1048 3.685724e-03 0
1049 2.452742e-02 0
1050 5.174003e-02 0
1051 3.202600e-03 0
1052 2.832285e-02 0
1053 5.863956e-02 0
1054 3.601440e-02 0
1055 8.937304e-02 0
1056 1.090018e-02 0
1057 1.131694e-01 0
1058 7.402148e-02 0
1059 1.090018e-02 0
1060 5.652796e-02 0
1061 7.326987e-02 0
1062 1.090018e-02 0
1063 4.700399e-02 0
1064 1.518555e-01 0
1065 2.425867e-02 0
1066 7.832041e-02 0
1067 6.192165e-02 0
1068 1.033272e-02 0
1069 1.039826e-03 0
1070 2.824829e-01 0
1071 1.207777e-02 0
1072 6.784276e-02 0
1073 1.711336e-02 0
1074 2.839456e-01 0
1075 6.899077e-02 0
1076 6.648624e-02 0
1077 8.258366e-02 0
1078 5.190614e-02 0
1079 8.705511e-02 0
1080 5.652403e-02 0
1081 4.391667e-03 0
1082 7.133849e-02 0
1083 4.700399e-02 0
1084 4.700399e-02 0
1085 3.325749e-02 0
1086 2.716504e-01 0
1087 7.062581e-02 0
1088 4.037649e-02 0
1089 6.110998e-02 0
1090 8.313118e-02 0
1091 6.992211e-02 0
1092 1.199931e-02 0
1093 8.791986e-02 0
1094 7.910413e-02 0
1095 1.293090e-02 0
1096 3.969884e-02 0
1097 6.028981e-02 0
1098 6.028981e-02 0
1099 1.499997e-03 0
1100 7.702563e-02 0
1101 3.516097e-02 0
1102 6.423836e-03 0
1103 4.448685e-02 0
1104 5.517140e-02 0
1105 8.222396e-03 0
1106 3.742881e-02 0
1107 7.501526e-02 0
1108 6.212303e-02 0
1109 2.752363e-01 0
1110 6.992051e-02 0
1111 3.795010e-02 0
1112 2.709479e-01 0
1113 2.716601e-01 0
1114 2.716601e-01 0
1115 2.716601e-01 0
1116 2.716601e-01 0
1117 2.716601e-01 0
1118 2.716601e-01 0
1119 2.716601e-01 0
1120 2.716601e-01 0
1121 2.716601e-01 0
1122 6.899156e-02 0
1123 2.716601e-01 0
1124 2.716601e-01 0
1125 2.716601e-01 0
1126 9.759633e-03 0
1127 9.935258e-03 0
1128 1.441408e-01 0
1129 2.817533e-01 0
1130 2.617944e-01 0
1131 8.368200e-02 0
1132 4.312983e-02 0
1133 7.402148e-02 0
1134 2.659247e-02 0
1135 7.302646e-02 0
1136 7.327070e-02 0
1137 7.352915e-02 0
1138 7.832041e-02 0
1139 8.759946e-02 0
1140 2.928064e-01 0
1141 8.531842e-02 0
1142 8.313118e-02 0
1143 8.937304e-02 0
1144 4.911733e-02 0
1145 7.857819e-02 0
1146 6.090643e-02 0
1147 9.724878e-03 0
1148 1.766778e-02 0
1149 2.624888e-01 0
1150 2.020740e-02 0
1151 5.808278e-02 0
1152 1.217106e-02 0
1153 5.748967e-02 0
1154 6.407153e-02 0
1155 2.734809e-02 0
1156 8.563607e-02 0
1157 7.806076e-02 0
1158 8.395015e-02 0
1159 5.334784e-02 0
1160 7.499985e-02 0
1161 6.604045e-02 0
1162 6.991731e-02 0
1163 7.988778e-02 0
1164 7.575909e-02 0
1165 1.504750e-01 0
1166 1.495563e-01 0
1167 1.504750e-01 0
1168 1.504750e-01 0
1169 2.745207e-01 0
1170 6.450494e-02 0
1171 8.395865e-02 0
1172 1.221477e-01 0
1173 4.195005e-02 0
1174 1.406218e-01 0
1175 5.788667e-02 0
1176 7.182056e-02 0
1177 5.847754e-02 0
1178 4.011720e-02 0
1179 9.134655e-04 0
1180 7.328412e-02 0
1181 3.704181e-02 0
1182 6.537922e-02 0
1183 6.899077e-02 0
1184 2.759579e-01 0
1185 1.527940e-02 0
1186 6.537997e-02 0
1187 2.175749e-02 0
1188 1.117226e-01 0
1189 8.340430e-02 0
1190 1.640258e-02 0
1191 3.996971e-02 0
1192 2.716601e-01 0
1193 6.028981e-02 0
1194 6.152610e-02 0
1195 3.210744e-02 0
1196 7.131120e-02 0
1197 8.231114e-02 0
1198 7.110263e-02 0
1199 6.321209e-02 0
1200 7.110263e-02 0
1201 7.575909e-02 0
1202 7.230070e-02 0
1203 4.732724e-02 0
1204 3.901782e-02 0
1205 4.633146e-02 0
1206 4.025042e-02 0
1207 8.734381e-02 0
1208 4.195647e-02 0
1209 1.004213e-02 0
1210 6.515794e-02 0
1211 9.383891e-03 0
1212 7.989501e-02 0
1213 7.989501e-02 0
1214 1.110217e-01 0
1215 6.321209e-02 0
1216 3.933825e-04 0
1217 4.238257e-02 0
1218 6.761296e-02 0
1219 8.763141e-02 0
1220 1.040185e-02 0
1221 9.552936e-03 0
1222 9.317264e-03 0
1223 4.716066e-02 0
1224 2.922857e-02 0
1225 4.726855e-04 0
1226 8.845325e-02 0
1227 1.985279e-02 0
1228 7.472353e-02 0
1229 2.191743e-02 0
1230 7.475031e-02 0
1231 5.789410e-02 0
1232 2.674021e-01 0
1233 2.723711e-01 0
1234 2.861456e-01 0
1235 7.352915e-02 0
1236 1.145743e-02 0
1237 4.892185e-03 0
1238 4.620206e-02 0
1239 8.039672e-02 0
1240 2.839306e-01 0
1241 7.804838e-02 0
1242 1.103042e-01 0
1243 7.061452e-02 0
1244 6.470482e-02 0
1245 6.582086e-02 0
1246 5.315136e-02 0
1247 8.958398e-03 0
1248 5.463327e-02 0
1249 7.302396e-02 0
1250 5.968041e-02 0
1251 6.110857e-02 0
1252 2.318604e-02 0
1253 2.795714e-01 0
1254 3.037383e-02 0
1255 2.695246e-01 0
1256 1.288680e-01 0
1257 7.936696e-02 0
1258 6.992131e-02 0
1259 2.029099e-03 0
1260 6.277883e-02 0
1261 4.327722e-02 0
1262 4.194041e-02 0
1263 4.209854e-02 0
1264 5.066370e-02 0
1265 4.372640e-02 0
1266 8.479360e-02 0
1267 1.551384e-01 0
1268 8.176854e-02 0
1269 6.646144e-02 0
1270 7.500581e-02 0
1271 6.693789e-02 0
1272 3.553114e-02 0
1273 8.069310e-02 0
1274 8.620193e-02 0
1275 8.878839e-02 0
1276 1.110133e-01 0
1277 3.167243e-02 0
1278 7.134011e-02 0
1279 6.820588e-04 0
1280 2.578288e-01 0
1281 2.846686e-01 0
1282 3.874993e-02 0
1283 2.773270e-02 0
1284 4.101889e-02 0
1285 1.964650e-02 0
1286 6.342284e-02 0
1287 4.931207e-02 0
1288 7.230235e-02 0
1289 6.761451e-02 0
1290 5.155151e-02 0
1291 7.832041e-02 0
1292 7.883317e-02 0
1293 7.626512e-02 0
1294 8.302062e-02 0
1295 5.445130e-02 0
1296 5.847889e-02 0
1297 5.867756e-02 0
1298 3.167469e-02 0
1299 2.752387e-01 0
1300 8.734381e-02 0
1301 7.351318e-02 0
1302 6.236414e-02 0
1303 2.738038e-01 0
1304 1.546636e-01 0
1305 8.788783e-02 0
1306 1.611430e-02 0
1307 7.910144e-02 0
1308 5.968110e-02 0
1309 8.619806e-02 0
1310 6.535595e-02 0
1311 7.476567e-02 0
1312 3.565695e-02 0
1313 2.393182e-02 0
1314 2.687141e-02 0
1315 1.748118e-02 0
1316 8.878839e-02 0
1317 3.200747e-02 0
1318 9.758564e-03 0
1319 6.829826e-02 0
1320 6.646946e-02 0
1321 7.876585e-03 0
1322 8.258366e-02 0
1323 3.024952e-02 0
1324 6.299257e-02 0
1325 9.184742e-03 0
1326 6.852864e-02 0
1327 2.521501e-02 0
1328 1.237013e-01 0
1329 7.626339e-02 0
1330 2.824780e-01 0
1331 2.854128e-01 0
1332 8.230928e-02 0
1333 8.122736e-02 0
1334 7.754205e-02 0
1335 5.867077e-02 0
1336 5.968041e-02 0
1337 5.937274e-03 0
1338 4.066712e-02 0
1339 4.814602e-02 0
1340 5.746070e-02 0
1341 8.479360e-02 0
1342 2.326135e-02 0
1343 3.080257e-02 0
1344 8.231114e-02 0
1345 5.016748e-02 0
1346 5.371413e-02 0
1347 6.215453e-02 0
1348 2.696351e-02 0
1349 5.538360e-02 0
1350 1.855813e-02 0
1351 3.037528e-02 0
1352 8.203758e-02 0
1353 9.199116e-02 0
1354 7.600999e-02 0
1355 8.535249e-02 0
1356 2.481086e-01 0
1357 8.203943e-02 0
1358 7.376228e-02 0
1359 2.759530e-01 0
1360 6.236055e-02 0
1361 4.748882e-02 0
1362 4.781803e-02 0
1363 7.278546e-02 0
1364 5.244668e-02 0
1365 1.523264e-01 0
1366 1.546668e-01 0
1367 2.795714e-01 0
1368 1.244764e-01 0
1369 1.628039e-01 0
1370 4.541315e-02 0
1371 1.061315e-01 0
1372 3.080257e-02 0
1373 8.591858e-02 0
1374 8.591761e-02 0
1375 3.189642e-02 0
1376 7.677252e-02 0
1377 1.183243e-01 0
1378 3.058820e-02 0
1379 8.849935e-02 0
1380 2.992898e-03 0
1381 6.213053e-02 0
1382 6.557828e-02 0
1383 6.535595e-02 0
1384 8.820917e-02 0
1385 2.576318e-02 0
1386 1.233087e-01 0
1387 7.328412e-02 0
1388 3.806301e-03 0
1389 8.507167e-02 0
1390 5.828153e-02 0
1391 3.048156e-02 0
1392 2.351364e-03 0
1393 3.627762e-02 0
1394 5.808412e-02 0
1395 4.912479e-02 0
1396 5.463073e-02 0
1397 3.005858e-02 0
1398 8.535441e-02 0
1399 3.167469e-02 0
1400 2.870790e-02 0
1401 6.493898e-03 0
1402 8.849737e-02 1
1403 1.538306e-02 1
1404 2.738013e-01 1
1405 8.820819e-02 1
1406 8.878939e-02 1
1407 2.861481e-01 1
1408 2.427759e-01 1
1409 1.320466e-02 1
1410 8.849637e-02 1
1411 2.810249e-01 1
1412 2.745182e-01 1
1413 2.011778e-01 1
1414 6.516019e-02 1
1415 6.342648e-02 1
1416 7.206026e-02 0
1417 7.420046e-01 1
1418 2.773949e-01 1
1419 2.723687e-01 1
1420 2.730881e-01 1
1421 6.278678e-02 1
1422 3.051809e-01 1
1423 3.460208e-01 1
1424 1.551384e-01 1
1425 1.551384e-01 1
1426 1.608894e-01 1
1427 8.878839e-02 1
1428 7.474831e-01 1
1429 2.723735e-01 1
1430 6.257080e-02 1
1431 2.444371e-02 1
1432 9.085191e-02 1
1433 1.064846e-01 1
1434 8.879038e-02 1
1435 1.200047e-02 0
1436 1.486422e-01 1
1437 6.852942e-02 1
1438 1.228077e-01 1
1439 3.056464e-03 1
1440 2.590191e-01 1
1441 2.752387e-01 1
1442 2.738013e-01 1
1443 8.313118e-02 1
1444 3.051809e-01 1
1445 1.045010e-01 1
1446 1.463772e-01 1
1447 1.463772e-01 1
1448 2.730881e-01 1
1449 1.490987e-01 1
1450 8.096074e-02 1
1451 3.255402e-02 1
1452 2.576386e-01 1
1453 1.570365e-01 1
1454 5.084775e-01 1
1455 8.849637e-02 1
1456 1.551384e-01 1
1457 2.576386e-01 1
1458 2.723735e-01 0
1459 1.513984e-01 0
1460 9.940450e-02 0
1461 7.447535e-01 0
1462 2.752387e-01 0
1463 2.868845e-01 0
1464 8.507358e-02 0
1465 2.745182e-01 0
1466 1.486422e-01 0
1467 2.638884e-01 0
1468 6.693789e-02 0
1469 8.966667e-02 0
1470 2.723735e-01 0
1471 7.401215e-02 0
1472 8.878939e-02 1
1473 8.648612e-02 1
1474 8.849935e-02 1
1475 1.584725e-01 1
1476 1.584725e-01 1
1477 3.717073e-01 1
1478 2.709479e-01 1
1479 8.705706e-02 1
1480 8.966667e-02 1
1481 2.795714e-01 1
1482 8.878939e-02 1
1483 9.114787e-02 1
1484 2.562630e-01 1
1485 8.042535e-02 1
1486 1.333767e-01 1
1487 2.868845e-01 1
1488 2.576386e-01 1
1489 2.723687e-01 0
1490 8.507358e-02 0
1491 2.824829e-01 0
1492 3.484705e-01 0
1493 4.464233e-02 1
1494 8.966867e-02 1
1495 1.509345e-01 0
1496 4.965210e-02 0
1497 2.738013e-01 0
1498 8.447879e-02 0
1499 8.122920e-02 1
1500 8.451445e-02 0
1501 8.258180e-02 0
1502 3.037528e-02 0
1503 7.936696e-02 0
1504 6.494109e-02 0
1505 5.538617e-02 0
1506 5.787997e-02 0
1507 6.829435e-02 0
1508 8.734381e-02 0
1509 1.376019e-01 0
1510 4.604954e-02 0
1511 6.191275e-02 0
1512 8.285048e-02 0
1513 4.830969e-02 0
1514 1.248749e-01 0
1515 1.124519e-01 0
1516 2.810249e-01 0
1517 7.936696e-02 0
1518 8.015933e-02 0
1519 8.846613e-02 0
1520 2.861431e-01 0
1521 7.884120e-02 0
1522 2.861456e-01 0
1523 8.676922e-02 0
1524 7.135076e-02 0
1525 6.535595e-02 0
1526 8.252027e-03 0
1527 7.962364e-03 0
1528 7.600834e-03 0
1529 5.980608e-03 0
1530 7.360133e-03 0
1531 7.628056e-03 0
1532 1.004213e-02 0
1533 9.322475e-02 0
1534 9.085089e-02 0
1535 8.648418e-02 0
1536 2.839456e-01 0
1537 8.149662e-02 0
1538 5.206459e-02 0
1539 9.794510e-03 0
1540 1.513984e-01 0
1541 1.393261e-02 0
1542 2.624912e-01 0
1543 2.854128e-01 0
1544 7.076197e-03 0
1545 2.752387e-01 0
1546 6.472118e-02 0
1547 6.194344e-02 0
1548 5.103159e-02 0
1549 9.443743e-02 0
1550 8.937504e-02 0
1551 7.351904e-02 0
1552 5.409877e-03 0
1553 7.821338e-03 0
1554 8.677117e-02 0
1555 6.827524e-03 0
1556 7.333860e-03 0
1557 3.834847e-02 0
1558 5.174003e-02 0
1559 7.600913e-02 0
1560 7.402148e-02 0
1561 1.288500e-02 0
1562 8.203943e-02 0
1563 2.861481e-01 0
1564 8.440221e-02 0
1565 7.127000e-03 0
1566 9.261643e-02 0
1567 5.371247e-03 0
1568 3.626537e-02 0
1569 6.130428e-02 0
1570 8.849737e-02 0
1571 8.042445e-02 0
1572 2.723735e-01 0
1573 7.626512e-02 0
1574 2.766759e-01 0
1575 2.702369e-01 0
1576 2.752387e-01 0
1577 4.418158e-02 0
1578 7.601172e-02 0
1579 8.878939e-02 0
1580 9.724878e-03 0
1581 2.788464e-01 0
1582 7.062903e-02 0
1583 1.029595e-02 0
1584 8.705706e-02 0
1585 8.677117e-02 0
1586 5.208735e-02 0
1587 4.975131e-05 0
1588 2.744408e-02 0
1589 1.358950e-01 0
1590 1.560851e-01 0
1591 1.504750e-01 0
1592 8.423614e-02 0
1593 8.963606e-02 0
1594 2.832285e-02 0
1595 1.131232e-04 0
1596 4.124182e-02 0
1597 5.016748e-02 0
1598 5.749632e-02 0
1599 7.050930e-03 0
1600 7.780189e-02 0
1601 7.601172e-02 0
1602 7.910323e-02 0
1603 6.494034e-02 0
1604 8.203943e-02 0
1605 2.810249e-01 0
1606 6.236486e-02 0
1607 6.853021e-02 0
1608 2.795714e-01 0
1609 6.310503e-03 0
1610 6.682506e-03 0
1611 6.070070e-02 0
1612 2.604020e-01 0
1613 5.351264e-02 0
1614 5.749512e-03 0
1615 6.716324e-02 0
1616 6.278678e-02 0
1617 5.828086e-02 0
1618 2.434387e-01 0
1619 7.677426e-02 0
1620 6.045201e-03 0
1621 2.481132e-01 0
1622 2.481132e-01 0
1623 5.853401e-03 0
1624 2.542110e-01 0
1625 5.710712e-02 0
1626 9.970636e-03 0
1627 5.468273e-03 0
1628 4.893283e-03 0
1629 8.447974e-02 0
1630 7.884210e-02 0
1631 7.036357e-02 0
1632 6.170988e-02 0
1633 7.802758e-02 0
1634 5.832546e-03 0
1635 6.132404e-03 0
1636 5.710646e-02 0
1637 6.714631e-02 0
1638 9.233935e-04 0
1639 7.805810e-02 0
1640 6.648929e-02 0
1641 4.526095e-02 0
1642 8.258366e-02 0
1643 7.936516e-02 0
1644 5.670988e-02 0
1645 7.083956e-02 0
1646 1.549811e-02 0
1647 1.502819e-03 0
1648 5.536527e-02 0
1649 2.745207e-01 0
1650 6.807171e-02 0
1651 1.217253e-02 0
1652 7.936336e-02 0
1653 4.149120e-03 0
1654 1.958487e-03 0
1655 5.730744e-02 0
1656 7.158078e-02 0
1657 3.703612e-02 0
1658 2.528474e-01 0
1659 2.521674e-01 0
1660 8.908029e-02 0
1661 2.542110e-01 0
1662 6.450420e-02 0
1663 7.626426e-02 0
1664 9.250993e-03 0
1665 4.388038e-02 0
1666 3.015174e-02 0
1667 8.582737e-03 0
1668 8.430816e-03 0
1669 3.888434e-02 0
1670 5.927736e-02 0
1671 6.668836e-02 0
1672 4.555594e-02 0
1673 8.535441e-02 0
1674 5.463707e-02 0
1675 8.368200e-02 0
1676 2.688184e-01 0
1677 7.550723e-02 0
1678 2.514794e-01 0
1679 8.134929e-03 0
1680 8.203943e-02 0
1681 3.166301e-02 0
1682 6.807093e-02 0
1683 6.299983e-02 0
1684 1.011401e-02 0
1685 4.737452e-03 0
1686 2.521501e-02 0
1687 2.902552e-02 0
1688 7.525614e-02 0
1689 4.311436e-02 0
1690 6.876053e-02 0
1691 5.519800e-02 0
1692 8.176854e-02 0
1693 4.526042e-02 0
1694 7.000665e-03 0
1695 3.144227e-02 0
1696 6.827524e-03 0
1697 2.824829e-01 0
1698 1.855925e-02 0
1699 8.791888e-02 0
1700 5.108417e-03 0
1701 9.621349e-03 0
1702 8.620193e-02 0
1703 1.686807e-02 0
1704 7.500581e-02 0
1705 7.500581e-02 0
1706 4.457769e-03 0
1707 8.849935e-02 0
1708 7.401215e-02 0
1709 7.401215e-02 0
1710 7.450746e-02 0
1711 5.967696e-02 0
1712 7.475626e-02 0
1713 7.500581e-02 0
1714 2.788464e-01 0
1715 4.781131e-02 0
1716 6.540549e-03 0
1717 7.351988e-02 0
1718 1.800834e-01 0
1719 8.677117e-02 0
1720 2.812591e-02 0
1721 8.451445e-02 0
1722 5.848639e-02 0
1723 6.212303e-02 0
1724 7.450746e-02 0
1725 8.285701e-02 0
1726 9.353181e-02 0
1727 6.278172e-02 0
1728 2.695174e-01 0
1729 6.626452e-02 0
1730 6.049563e-02 0
1731 1.066959e-02 0
1732 6.131701e-02 0
1733 6.922173e-02 0
1734 4.947949e-02 0
1735 3.887883e-02 0
1736 1.070417e-02 0
1737 6.560045e-02 0
1738 1.335182e-02 0
1739 6.214307e-02 0
1740 8.012987e-02 0
1741 2.461435e-02 0
1742 2.537006e-03 0
1743 7.651930e-02 0
1744 2.388221e-01 0
1745 1.992549e-02 0
1746 8.042445e-02 0
1747 9.204713e-02 0
1748 8.340524e-02 0
1749 2.930951e-01 0
1750 8.591858e-02 0
1751 8.368106e-02 0
1752 7.130470e-02 0
1753 1.849018e-03 0
1754 3.443872e-02 0
1755 1.139007e-01 0
1756 3.601440e-02 0
1757 9.759633e-03 0
1758 6.233397e-02 0
1759 2.883557e-01 0
1760 8.759063e-02 0
1761 4.166781e-02 0
1762 6.671324e-02 0
1763 8.313118e-02 0
1764 8.133244e-03 0
1765 7.963058e-02 0
1766 4.684233e-02 0
1767 6.582162e-02 0
1768 9.413504e-02 0
1769 9.413504e-02 0
1770 5.668588e-02 0
1771 5.861401e-02 0
1772 8.203943e-02 0
1773 5.633091e-02 0
1774 2.652927e-01 0
1775 1.413095e-02 0
1776 6.194487e-02 0
1777 4.636215e-02 0
1778 8.705706e-02 0
1779 7.883853e-02 0
1780 9.475123e-02 0
1781 9.475123e-02 0
1782 3.888434e-02 0
1783 2.839456e-01 0
1784 2.854128e-01 0
1785 2.215937e-01 0
1786 8.563607e-02 0
1787 2.928064e-01 0
1788 8.654452e-04 0
1789 1.044440e-01 0
1790 8.996317e-02 0
1791 8.095891e-02 0
1792 6.779807e-02 0
1793 6.060008e-04 0
1794 2.343180e-02 0
1795 8.563511e-02 0
1796 2.474417e-01 0
1797 2.759579e-01 0
1798 1.044451e-01 0
1799 4.732834e-02 0
1800 2.585592e-02 0
1801 4.081660e-02 0
1802 6.191275e-02 0
1803 1.018640e-02 0
1804 8.340743e-03 0
1805 9.174649e-02 0
1806 7.989410e-02 0
1807 8.759946e-02 0
1808 5.067907e-02 0
1809 3.988267e-03 0
1810 2.418674e-02 0
1811 2.861481e-01 0
1812 8.791986e-02 0
1813 8.734283e-02 0
1814 1.256671e-01 0
1815 1.082278e-02 0
1816 1.033272e-02 0
1817 1.051855e-02 0
1818 1.015014e-02 0
1819 1.044383e-02 0
1820 5.085860e-02 0
1821 3.471523e-01 0
1822 5.883942e-02 0
1823 6.278678e-02 0
1824 7.402148e-02 0
1825 1.014977e-02 0
1826 2.207188e-02 0
1827 4.094625e-02 0
1828 4.748770e-02 0
1829 6.829748e-02 0
1830 2.738038e-01 0
1831 8.176761e-02 0
1832 1.754486e-02 0
1833 1.040666e-02 0
1834 9.759633e-03 0
1835 2.706207e-02 0
1836 6.851995e-03 0
1837 9.322683e-02 0
1838 1.004213e-02 0
1839 6.778841e-03 0
1840 6.198627e-03 0
1841 5.298638e-02 0
1842 5.016631e-02 0
1843 5.769792e-02 0
1844 2.709455e-01 0
1845 2.695270e-01 0
1846 8.423614e-02 0
1847 6.992291e-02 0
1848 4.982236e-02 0
1849 8.231114e-02 0
1850 8.507167e-02 0
1851 7.229823e-02 0
1852 6.712744e-02 0
1853 7.278711e-02 0
1854 7.062903e-02 0
1855 7.376564e-02 0
1856 1.139007e-01 0
1857 8.937204e-02 0
1858 5.334536e-02 0
1859 4.357396e-02 0
1860 3.134115e-02 0
1861 8.451255e-02 0
1862 2.199214e-02 0
1863 1.651783e-02 0
1864 1.485124e-02 0
1865 5.173215e-02 0
1866 4.881186e-02 0
1867 5.296448e-02 0
1868 8.449924e-02 0
1869 5.926914e-02 0
1870 7.963058e-02 0
1871 7.754205e-02 0
1872 8.423614e-02 0
1873 2.681061e-01 0
1874 6.580651e-02 0
1875 8.395865e-02 0
1876 6.899156e-02 0
1877 6.603287e-02 0
1878 7.134093e-02 0
1879 2.064230e-02 0
1880 6.049563e-02 0
1881 6.992131e-02 0
1882 8.340618e-02 0
1883 2.716601e-01 0
1884 9.476072e-02 0
1885 7.884120e-02 0
1886 2.702369e-01 0
1887 7.062823e-02 0
1888 8.763141e-02 0
1889 5.538617e-02 0
1890 6.341773e-02 0
1891 9.935258e-03 0
1892 3.245696e-02 0
1893 9.587082e-03 0
1894 2.890905e-01 0
1895 5.587157e-03 0
1896 2.883557e-01 0
1897 2.414515e-01 0
1898 6.235839e-02 0
1899 5.067434e-02 0
1900 8.849836e-02 0
1901 8.203758e-02 0
1902 7.884210e-02 0
1903 6.830060e-02 0
1904 7.702999e-02 0
1905 7.062903e-02 0
1906 6.049563e-02 0
1907 8.096074e-02 0
1908 3.349111e-02 0
1909 1.051830e-02 0
1910 6.626604e-02 0
1911 9.518563e-03 0
1912 8.849935e-02 0
1913 5.767983e-02 0
1914 1.044383e-02 0
1915 1.086128e-02 0
1916 1.040653e-02 0
1917 7.933597e-02 0
1918 2.723735e-01 0
1919 9.451104e-03 0
1920 7.573616e-03 0
1921 1.216507e-02 0
1922 5.051668e-02 0
1923 5.867891e-02 0
1924 6.760832e-02 0
1925 9.322683e-02 0
1926 1.849921e-02 0
1927 1.964319e-02 0
1928 6.579252e-02 0
1929 3.983687e-02 0
1930 7.181974e-02 0
1931 6.945261e-02 0
1932 7.832041e-02 0
1933 5.691082e-02 0
1934 8.231114e-02 0
1935 8.310073e-02 0
1936 8.645068e-02 0
1937 7.303062e-02 0
1938 2.738038e-01 0
1939 4.700454e-02 0
1940 3.874170e-02 0
1941 3.166301e-02 0
1942 1.074591e-02 0
1943 6.671324e-02 0
1944 7.423027e-02 0
1945 7.375808e-02 0
1946 2.795714e-01 0
1947 8.879038e-02 0
1948 5.808479e-02 0
1949 2.861481e-01 0
1950 2.714833e-02 0
1951 7.677252e-02 0
1952 2.666946e-01 0
1953 2.771415e-02 0
1954 2.658324e-02 0
1955 2.861481e-01 0
1956 2.658324e-02 0
1957 8.479360e-02 0
1958 2.752066e-02 0
1959 8.479265e-02 0
1960 5.260486e-02 0
1961 4.071066e-01 0
1962 2.854128e-01 0
1963 5.947856e-02 0
1964 5.787729e-02 0
1965 7.677426e-02 0
1966 6.579403e-02 0
1967 4.762778e-02 0
1968 5.389565e-02 0
1969 8.849935e-02 0
1970 7.963058e-02 0
1971 5.262600e-02 0
1972 1.086141e-02 0
1973 4.166589e-02 0
1974 5.316744e-02 0
1975 3.745641e-01 0
1976 7.910234e-02 0
1977 5.536270e-02 0
1978 9.970757e-03 0
1979 3.611303e-01 0
1980 1.248561e-01 0
1981 5.244546e-02 0
1982 2.773949e-01 0
1983 7.475116e-02 0
1984 2.317035e-03 0
1985 8.395771e-02 0
1986 6.385143e-02 0
1987 7.989320e-02 0
1988 3.913901e-02 0
1989 6.131347e-02 0
1990 2.709479e-01 0
1991 4.847162e-02 0
1992 5.557495e-02 0
1993 5.033884e-02 0
1994 5.262600e-02 0
1995 2.624935e-01 0
1996 9.417553e-03 0
1997 7.754381e-02 0
1998 8.582737e-03 0
1999 2.773925e-01 0
2000 7.230070e-02 0
2001 7.962267e-03 0
2002 3.245696e-02 0
2003 5.867213e-02 0
2004 7.307591e-03 0
2005 4.268701e-02 0
2006 7.158078e-02 0
2007 7.254436e-02 0
2008 7.702825e-02 0
2009 1.577478e-02 0
2010 6.898998e-02 0
2011 1.066959e-02 0
2012 1.007801e-02 0
2013 9.655737e-03 0
2014 9.317264e-03 0
2015 9.022702e-03 0
2016 9.218033e-03 0
2017 9.724878e-03 0
2018 9.481427e-03 0
2019 4.588720e-02 0
2020 6.992291e-02 0
2021 6.321797e-02 0
2022 6.557711e-02 0
2023 1.018640e-02 0
2024 7.500581e-02 0
2025 1.217619e-01 0
2026 7.550723e-02 0
2027 1.413231e-02 0
2028 7.157997e-02 0
2029 5.887345e-02 0
2030 1.086141e-02 0
2031 7.278546e-02 0
2032 8.996116e-02 0
2033 2.745207e-01 0
2034 9.864636e-03 0
2035 1.004213e-02 0
2036 1.033272e-02 0
2037 8.563511e-02 0
2038 1.517266e-02 0
2039 2.781176e-01 0
2040 1.033272e-02 0
2041 2.709479e-01 0
2042 8.734381e-02 0
2043 8.230928e-02 0
2044 7.988778e-02 0
2045 2.759579e-01 0
2046 1.575140e-01 0
2047 4.814434e-02 0
2048 9.284070e-03 0
2049 6.449456e-02 0
2050 8.535057e-02 0
2051 2.854128e-01 0
2052 9.292170e-02 0
2053 8.763042e-02 0
2054 8.400753e-03 0
2055 7.963058e-02 0
2056 5.968110e-02 0
2057 2.745207e-01 0
2058 1.007801e-02 0
2059 8.042445e-02 0
2060 2.792896e-02 0
2061 9.171423e-02 0
2062 1.033260e-02 0
2063 3.405887e-01 0
2064 2.733339e-02 0
2065 9.087352e-03 0
2066 2.429869e-03 0
2067 8.122920e-02 0
2068 4.209957e-02 0
2069 6.557711e-02 0
2070 1.999693e-02 0
2071 1.791919e-02 0
2072 3.384231e-02 0
2073 1.014466e-01 0
2074 8.340618e-02 0
2075 2.795665e-01 0
2076 2.854128e-01 0
2077 6.942282e-02 0
2078 6.236414e-02 0
2079 9.114380e-02 0
2080 8.615401e-02 0
2081 6.512912e-02 0
2082 3.299997e-01 0
2083 7.988959e-02 0
2084 8.391659e-02 0
2085 2.688184e-01 0
2086 1.078428e-02 0
2087 6.760212e-02 0
2088 4.067048e-02 0
2089 1.063163e-02 0
2090 9.794510e-03 0
2091 1.000638e-02 0
2092 7.549865e-02 0
2093 2.907933e-01 0
2094 6.152397e-02 0
2095 1.022279e-02 0
2096 8.069310e-02 0
2097 5.788466e-02 0
2098 5.441935e-02 0
2099 1.066959e-02 0
2100 1.007801e-02 0
2101 1.200820e-03 0
2102 2.868845e-01 0
2103 8.339773e-02 0
2104 2.695270e-01 0
2105 7.278628e-02 0
2106 5.280405e-02 0
2107 2.617825e-01 0
2108 8.734381e-02 0
2109 7.207019e-02 0
2110 2.645887e-01 0
2111 6.535595e-02 0
2112 8.737371e-03 0
2113 6.131913e-02 0
2114 8.073110e-03 0
2115 9.384005e-03 0
2116 5.120156e-02 0
2117 8.737371e-03 0
2118 7.849248e-03 0
2119 7.178078e-03 0
2120 4.556958e-02 0
2121 8.122828e-02 0
2122 4.765375e-02 0
2123 6.557711e-02 0
2124 1.577631e-02 0
2125 3.360712e-02 0
2126 3.942461e-02 0
2127 3.112612e-02 0
2128 5.672040e-02 0
2129 5.085267e-02 0
2130 7.754381e-02 0
2131 5.848024e-02 0
2132 6.491384e-02 0
2133 6.152185e-02 0
2134 8.908029e-02 0
2135 2.702369e-01 0
2136 1.070769e-02 0
2137 1.063150e-02 0
2138 7.062903e-02 0
2139 6.067512e-02 0
2140 4.814663e-02 0
2141 1.036963e-02 0
2142 7.500581e-02 0
2143 2.695270e-01 0
2144 3.080037e-02 0
2145 1.075181e-01 0
2146 1.066959e-02 0
2147 6.784353e-02 0
2148 4.878989e-02 0
2149 9.587082e-03 0
2150 1.044383e-02 0
2151 9.350575e-03 0
2152 5.905595e-02 0
2153 4.298241e-02 0
2154 7.677426e-02 0
2155 5.947994e-02 0
2156 7.832041e-02 0
2157 2.371128e-01 0
2158 8.076999e-03 0
2159 2.817533e-01 0
2160 3.372352e-02 0
2161 8.820917e-02 0
2162 3.901551e-02 0
2163 1.078428e-02 0
2164 9.794510e-03 0
2165 1.066946e-02 0
2166 8.676922e-02 0
2167 2.752387e-01 0
2168 6.992291e-02 0
2169 4.765375e-02 0
2170 6.876053e-02 0
2171 5.614167e-02 0
2172 2.310348e-02 0
2173 7.550723e-02 0
2174 7.327404e-02 0
2175 6.070000e-02 0
2176 7.677426e-02 0
2177 7.400879e-02 0
2178 2.535286e-01 0
2179 8.676825e-02 0
2180 6.556919e-02 0
2181 1.066959e-02 0
2182 2.631915e-01 0
2183 5.426612e-02 0
2184 6.671324e-02 0
2185 2.367953e-02 0
2186 7.086101e-02 0
2187 2.688184e-01 0
2188 5.867891e-02 0
2189 5.785283e-02 0
2190 3.069228e-02 0
2191 6.028145e-02 0
2192 2.773999e-01 0
2193 7.963058e-02 0
2194 6.471895e-02 0
2195 9.694182e-02 0
2196 4.123547e-02 0
2197 6.172946e-02 0
2198 5.208492e-02 0
2199 4.151833e-02 0
2200 7.728651e-02 0
2201 3.703919e-02 0
2202 2.932746e-02 0
2203 2.461317e-02 0
2204 1.566255e-02 0
2205 3.156138e-02 0
2206 6.173515e-02 0
2207 2.020667e-02 0
2208 1.798248e-02 0
2209 2.962556e-02 0
2210 1.367491e-01 0
2211 1.447739e-02 0
2212 9.856896e-03 0
2213 4.765315e-02 0
2214 8.149846e-02 0
2215 3.929026e-02 0
2216 1.160929e-01 0
2217 2.738038e-01 0
2218 2.277049e-02 0
2219 2.795714e-01 0
2220 2.535286e-01 0
2221 2.716601e-01 0
2222 9.448919e-03 0
2223 1.017755e-01 0
2224 8.423614e-02 0
2225 5.808479e-02 0
2226 5.262600e-02 0
2227 7.871448e-03 0
2228 6.152043e-02 0
2229 8.648612e-02 0
2230 9.040922e-03 0
2231 7.989410e-02 0
2232 6.537997e-02 0
2233 6.378402e-03 0
2234 3.678266e-02 0
2235 4.982527e-02 0
2236 2.730881e-01 0
2237 1.014965e-02 0
2238 7.550723e-02 0
2239 8.313118e-02 0
2240 5.102088e-02 0
2241 6.760212e-02 0
2242 2.839456e-01 0
2243 2.621917e-02 0
2244 8.096074e-02 0
2245 3.913948e-02 0
2246 1.230228e-02 0
2247 1.265836e-02 0
2248 2.890905e-01 0
2249 2.810249e-01 0
2250 4.224754e-02 0
2251 7.831864e-02 0
2252 1.745378e-03 0
2253 7.989501e-02 0
2254 1.034397e-01 0
2255 3.080257e-02 0
2256 2.631868e-01 0
2257 2.861481e-01 0
2258 8.849935e-02 0
2259 8.042445e-02 0
2260 1.234568e-02 0
2261 9.653975e-03 0
2262 2.214112e-02 0
2263 8.069310e-02 0
2264 8.479360e-02 0
2265 2.652903e-01 0
2266 3.222992e-02 0
2267 6.761451e-02 0
2268 8.879038e-02 0
2269 4.878875e-02 0
2270 8.042445e-02 0
2271 1.479809e-02 0
2272 2.832087e-01 0
2273 7.989501e-02 0
2274 3.942600e-02 0
2275 6.975071e-03 0
2276 2.883557e-01 0
2277 2.137688e-02 0
2278 6.007909e-02 0
2279 5.226733e-02 0
2280 8.705706e-02 0
2281 1.458567e-02 0
2282 8.820917e-02 0
2283 4.965500e-02 0
2284 3.652824e-02 0
2285 6.579896e-02 0
2286 1.128120e-01 0
2287 8.849836e-02 0
2288 5.827883e-02 0
2289 7.062903e-02 0
2290 8.457531e-03 0
2291 7.158078e-02 0
2292 2.593316e-02 0
2293 5.828018e-02 0
2294 7.550723e-02 0
2295 8.591858e-02 0
2296 2.817533e-01 0
2297 7.351988e-02 0
2298 7.828891e-02 0
2299 2.745207e-01 0
2300 8.395771e-02 0
2301 4.166830e-02 0
2302 6.671247e-02 0
2303 4.479622e-02 0
2304 6.242712e-03 0
2305 4.762778e-02 0
2306 8.042445e-02 0
2307 8.705706e-02 0
2308 9.317264e-03 0
2309 9.261953e-02 0
2310 8.258180e-02 0
2311 8.313025e-02 0
2312 6.235911e-02 0
2313 5.887754e-02 0
2314 5.614493e-02 0
2315 1.533635e-03 0
2316 3.111940e-03 0
2317 4.781751e-02 0
2318 2.505232e-02 0
2319 6.535595e-02 0
2320 1.669392e-02 0
2321 4.635890e-02 0
2322 8.149662e-02 0
2323 5.853473e-03 0
2324 6.236414e-02 0
2325 8.676533e-02 0
2326 2.795665e-01 0
2327 2.309742e-03 0
2328 3.245464e-02 0
2329 5.968110e-02 0
2330 8.507167e-02 0
2331 6.131913e-02 0
2332 9.917640e-02 0
2333 7.179393e-02 0
2334 1.001461e-01 0
2335 7.596641e-02 0
2336 2.854128e-01 0
2337 1.279213e-02 0
2338 8.042081e-02 0
2339 2.791478e-02 0
2340 8.423235e-02 0
2341 2.810249e-01 0
2342 8.459336e-03 0
2343 8.122920e-02 0
2344 1.321381e-01 0
2345 1.025930e-02 0
2346 5.519479e-02 0
2347 8.863063e-03 0
2348 1.015014e-02 0
2349 8.958507e-03 0
2350 9.417438e-03 0
2351 7.157997e-02 0
2352 1.628343e-01 0
2353 7.062742e-02 0
2354 8.521645e-03 0
2355 1.527921e-01 0
2356 9.264692e-02 0
2357 3.100880e-02 0
2358 2.528474e-01 0
2359 2.795714e-01 0
2360 5.501239e-02 0
2361 6.535595e-02 0
2362 8.552137e-03 0
2363 1.490956e-01 0
2364 1.541835e-01 0
2365 8.048188e-03 0
2366 6.299910e-02 0
2367 8.105913e-03 0
2368 9.250880e-03 0
2369 8.281461e-03 0
2370 8.019479e-03 0
2371 1.066959e-02 0
2372 7.962698e-02 0
2373 1.011401e-02 0
2374 3.929026e-02 0
2375 5.538815e-02 0
2376 6.557711e-02 0
2377 6.968660e-02 0
2378 7.376480e-02 0
2379 6.738853e-02 0
2380 2.832087e-01 0
2381 2.716601e-01 0
2382 2.788464e-01 0
2383 2.652903e-01 0
2384 5.189010e-02 0
2385 6.537997e-02 0
2386 4.209957e-02 0
2387 8.705413e-02 0
2388 1.419314e-01 0
2389 8.788783e-02 0
2390 1.138932e-01 0
2391 8.937304e-02 0
2392 4.847843e-02 0
2393 7.373331e-02 0
2394 6.087936e-02 0
2395 1.950868e-02 0
2396 7.780101e-02 0
2397 4.372640e-02 0
2398 1.623011e-02 0
2399 8.203943e-02 0
2400 4.798232e-02 0
2401 7.989320e-02 0
2402 9.451219e-03 0
2403 8.535441e-02 0
2404 9.052088e-02 0
2405 3.395909e-02 0
2406 8.490951e-03 0
2407 5.463644e-02 0
2408 7.086587e-02 0
2409 5.350982e-02 0
2410 5.808479e-02 0
2411 9.518795e-03 0
2412 5.769186e-02 0
2413 2.817533e-01 0
2414 7.780189e-02 0
2415 2.854128e-01 0
2416 7.376228e-02 0
2417 8.849836e-02 0
2418 8.648612e-02 0
2419 3.166982e-02 0
2420 2.730832e-01 0
2421 8.309886e-02 0
2422 2.974402e-02 0
2423 5.426612e-02 0
2424 2.730832e-01 0
2425 6.784276e-02 0
2426 6.407079e-02 0
2427 5.988428e-02 0
2428 8.879038e-02 0
2429 4.881072e-02 0
2430 5.947925e-02 0
2431 2.562630e-01 0
2432 5.155872e-02 0
2433 5.907747e-02 0
2434 7.110263e-02 0
2435 7.039212e-02 0
2436 8.648612e-02 0
2437 8.563607e-02 0
2438 5.120752e-02 0
2439 1.074591e-02 0
2440 1.029595e-02 0
2441 1.022279e-02 0
2442 1.029595e-02 0
2443 1.040666e-02 0
2444 8.591858e-02 0
2445 1.029595e-02 0
2446 9.055479e-02 0
2447 4.298992e-01 0
2448 9.552936e-03 0
2449 7.728300e-02 0
2450 5.445130e-02 0
2451 1.433328e-02 0
2452 4.195404e-02 0
2453 2.540670e-02 0
2454 2.695198e-01 0
2455 2.759530e-01 0
2456 2.824780e-01 0
2457 3.245349e-02 0
2458 6.992291e-02 0
2459 5.947925e-02 0
2460 2.695198e-01 0
2461 6.899156e-02 0
2462 2.759530e-01 0
2463 5.594914e-02 0
2464 3.589741e-02 0
2465 2.217673e-01 0
2466 2.781226e-01 0
2467 5.153798e-02 0
2468 2.624888e-01 0
2469 1.418049e-01 0
2470 8.763141e-02 0
2471 7.702825e-02 0
2472 7.401215e-02 0
2473 8.176761e-02 0
2474 8.820917e-02 0
2475 3.452908e-03 0
2476 8.677117e-02 0
2477 6.899077e-02 0
2478 1.504750e-01 0
2479 1.560851e-01 0
2480 2.810249e-01 0
2481 1.581549e-04 0
2482 8.849935e-02 0
2483 8.258366e-02 0
2484 2.730832e-01 0
2485 8.507358e-02 0
2486 8.042626e-02 0
2487 1.468248e-01 0
2488 6.945261e-02 0
2489 2.512315e-02 0
2490 2.467715e-01 0
2491 4.912421e-02 0
2492 1.956815e-02 0
2493 8.578606e-03 0
2494 3.428812e-03 0
2495 8.878939e-02 0
2496 8.820819e-02 1
2497 8.820819e-02 1
2498 8.878939e-02 1
2499 1.486422e-01 1
2500 2.631915e-01 1
2501 8.966867e-02 1
2502 8.451350e-02 1
2503 2.730881e-01 1
2504 2.788464e-01 1
2505 6.494109e-02 1
2506 2.810249e-01 1
2507 8.878939e-02 1
2508 7.677339e-02 1
2509 7.832041e-02 1
2510 1.584725e-01 1
2511 2.788464e-01 1
2512 1.495563e-01 1
2513 8.313118e-02 1
2514 2.730881e-01 1
2515 8.705511e-02 1
2516 8.734381e-02 1
2517 8.285701e-02 1
2518 2.854128e-01 1
2519 1.646060e-02 1
2520 2.590214e-01 1
2521 8.734283e-02 1
2522 5.658386e-01 1
2523 7.376060e-02 1
2524 8.734381e-02 1
2525 2.781226e-01 1
2526 7.450746e-02 1
2527 2.868845e-01 1
2528 2.723735e-01 1
2529 2.868845e-01 1
2530 8.734283e-02 1
2531 2.854128e-01 1
2532 8.563607e-02 1
2533 8.908128e-02 1
2534 1.441393e-01 1
2535 2.631915e-01 1
2536 2.752387e-01 1
2537 7.376564e-02 1
2538 3.575150e-01 1
2539 7.401215e-02 1
2540 8.734381e-02 1
2541 8.734381e-02 1
2542 2.738013e-01 1
2543 8.702531e-02 1
2544 8.677117e-02 1
2545 2.752387e-01 1
2546 8.368200e-02 1
2547 8.340618e-02 1
2548 8.763141e-02 1
2549 7.110263e-02 1
2550 8.563607e-02 1
2551 2.861481e-01 1
2552 8.791888e-02 1
2553 2.730881e-01 1
2554 8.878939e-02 1
2555 8.677117e-02 1
2556 2.766783e-01 1
2557 2.795714e-01 1
2558 2.781226e-01 1
2559 3.156400e-02 0
2560 8.734381e-02 1
2561 1.172129e-01 1
2562 8.849935e-02 1
2563 2.781226e-01 1
2564 2.781226e-01 1
2565 2.781226e-01 1
2566 2.861481e-01 1
2567 8.879038e-02 1
2568 2.781226e-01 1
2569 7.499900e-02 0
2570 2.652783e-01 1
2571 8.423614e-02 1
2572 9.234968e-02 1
2573 1.454792e-01 1
2574 1.656671e-01 1
2575 6.420099e-01 1
2576 8.849637e-02 1
2577 2.738038e-01 1
2578 8.966867e-02 1
2579 1.575140e-01 1
2580 1.272589e-01 1
2581 1.631906e-01 1
2582 2.781226e-01 1
2583 8.820917e-02 1
2584 5.489600e-01 1
2585 8.879038e-02 1
2586 1.701973e-01 1
2587 8.591858e-02 1
2588 8.563607e-02 1
2589 2.752387e-01 1
2590 7.989501e-02 1
2591 1.641769e-01 1
2592 2.824730e-01 1
2593 8.313025e-02 1
2594 2.688184e-01 1
2595 7.278214e-02 0
2596 8.705608e-02 1
2597 8.479265e-02 1
2598 1.661656e-01 1
2599 5.214544e-03 1
2600 8.879038e-02 1
2601 7.401215e-02 1
2602 1.367491e-01 1
2603 1.686763e-01 1
2604 8.368200e-02 1
2605 2.730881e-01 1
2606 8.563511e-02 1
2607 1.696891e-01 1
2608 8.313025e-02 1
2609 8.878839e-02 1
2610 8.016023e-02 1
2611 1.696891e-01 1
2612 5.828220e-02 0
2613 5.711469e-01 1
2614 3.821674e-02 1
2615 1.701973e-01 1
2616 2.020740e-02 1
2617 6.757009e-02 1
2618 7.425858e-02 1
2619 2.868820e-01 1
2620 2.846786e-01 1
2621 2.752387e-01 1
2622 2.846786e-01 1
2623 8.879038e-02 1
2624 1.707049e-01 1
2625 9.352973e-02 1
2626 8.535441e-02 1
2627 2.730881e-01 1
2628 5.444932e-01 1
2629 1.696873e-01 1
2630 1.141282e-02 0
2631 3.874993e-02 0
2632 5.576568e-02 0
2633 9.204713e-02 0
2634 2.652903e-01 0
2635 2.695198e-01 0
2636 2.759530e-01 0
2637 7.677426e-02 0
2638 6.090151e-02 0
2639 2.723711e-01 0
2640 5.371350e-02 0
2641 9.025653e-02 0
2642 6.299983e-02 0
2643 1.093909e-02 0
2644 7.626512e-02 0
2645 1.033272e-02 0
2646 7.910413e-02 0
2647 5.408153e-02 0
2648 4.507669e-02 0
2649 2.730832e-01 0
2650 1.164682e-01 0
2651 8.042263e-02 0
2652 8.563607e-02 0
2653 8.395676e-02 0
2654 1.551384e-01 0
2655 6.049423e-02 0
2656 7.278628e-02 0
2657 7.936696e-02 0
2658 2.674046e-01 0
2659 6.784353e-02 0
2660 8.173485e-02 0
2661 8.705608e-02 0
2662 8.563415e-02 0
2663 8.908228e-02 0
2664 8.563607e-02 0
2665 8.285328e-02 0
2666 6.427607e-02 0
2667 1.296790e-01 0
2668 8.937404e-02 0
2669 5.576434e-02 0
2670 6.579403e-02 0
2671 2.795714e-01 0
2672 3.602742e-02 0
2673 8.395676e-02 0
2674 8.368200e-02 0
2675 7.425943e-02 0
2676 4.095494e-02 0
2677 1.426449e-03 0
2678 6.188423e-04 0
2679 3.765116e-04 0
2680 3.200633e-02 0
2681 2.158151e-03 0
2682 4.781695e-02 0
2683 2.974082e-02 0
2684 1.950868e-02 0
2685 2.846786e-01 0
2686 8.507167e-02 0
2687 8.937304e-02 0
2688 2.481132e-01 0
2689 8.203943e-02 0
2690 8.791888e-02 0
2691 1.061303e-01 0
2692 7.910413e-02 0
2693 7.550723e-02 0
2694 6.070070e-02 0
2695 5.611465e-02 0
2696 8.451350e-02 0
2697 2.153460e-02 0
2698 2.191743e-02 0
2699 5.538617e-02 0
2700 2.176350e-02 0
2701 1.125480e-02 0
2702 1.260635e-01 0
2703 6.829904e-02 0
2704 5.500914e-02 0
2705 1.022254e-02 0
2706 9.655737e-03 0
2707 4.948470e-02 0
2708 7.327070e-02 0
2709 2.688160e-01 0
2710 1.716836e-02 0
2711 2.070376e-01 0
2712 2.652903e-01 0
2713 3.742881e-02 0
2714 7.884210e-02 0
2715 8.849935e-02 0
2716 3.178537e-02 0
2717 7.182056e-02 0
2718 5.788667e-02 0
2719 5.426743e-02 0
2720 7.181647e-02 0
2721 7.440421e-04 0
2722 8.535441e-02 0
2723 8.820917e-02 0
2724 6.515719e-02 0
2725 1.233087e-01 0
2726 7.989501e-02 0
2727 2.393240e-02 0
2728 1.964603e-02 0
2729 5.314485e-02 0
2730 3.742881e-02 0
2731 4.764479e-02 0
2732 4.999057e-03 0
2733 2.509649e-03 0
2734 2.810249e-01 0
2735 2.645463e-04 0
2736 5.370913e-02 0
2737 5.118573e-02 0
2738 1.059368e-02 0
2739 9.599660e-02 0
2740 8.849637e-02 1
2741 2.832137e-01 1
2742 5.500978e-02 1
2743 1.656671e-01 1
2744 2.861481e-01 1
2745 2.861481e-01 1
2746 7.702999e-02 1
2747 8.285701e-02 1
2748 1.671663e-01 1
2749 8.849637e-02 1
2750 1.656671e-01 1
2751 5.137565e-02 0
2752 2.810199e-01 0
2753 2.810199e-01 0
2754 2.810199e-01 0
2755 2.810199e-01 0
2756 2.753974e-02 0
2757 3.189642e-02 0
2758 6.321724e-02 0
2759 1.007801e-02 0
2760 9.384005e-03 0
2761 8.400753e-03 0
2762 6.517182e-03 0
2763 7.278546e-02 0
2764 4.588451e-02 0
2765 6.406931e-02 0
2766 3.969884e-02 0
2767 1.330396e-02 0
2768 6.028981e-02 0
2769 6.028981e-02 0
2770 1.330396e-02 0
2771 6.028772e-02 0
2772 9.218033e-03 0
2773 4.037053e-02 0
2774 8.820917e-02 0
2775 8.762748e-02 0
2776 1.007973e-01 0
2777 6.966149e-02 0
2778 9.171525e-02 0
2779 6.992291e-02 0
2780 2.802694e-02 0
2781 2.802694e-02 0
2782 4.298039e-02 0
2783 5.501175e-02 0
2784 9.087242e-03 0
2785 2.883507e-01 0
2786 7.110344e-02 0
2787 2.688160e-01 0
2788 6.626223e-02 0
2789 2.984567e-02 0
2790 3.254995e-02 0
2791 1.213759e-01 0
2792 9.201579e-02 0
2793 7.275849e-02 0
2794 2.839456e-01 0
2795 1.099608e-01 0
2796 1.063163e-02 0
2797 1.059381e-02 0
2798 2.645887e-01 0
2799 1.333824e-01 0
2800 1.468994e-02 0
2801 8.894766e-03 0
2802 8.675188e-03 0
2803 8.203943e-02 0
2804 6.671324e-02 0
2805 7.600741e-02 0
2806 3.716877e-02 0
2807 4.798232e-02 0
2808 1.896315e-02 0
2809 3.384111e-02 0
2810 5.847686e-02 0
2811 1.179592e-01 0
2812 7.351988e-02 0
2813 2.752560e-02 0
2814 5.865685e-02 0
2815 1.792178e-02 0
2816 4.185088e-05 0
2817 1.413231e-02 0
2818 5.749632e-02 0
2819 6.008464e-02 0
2820 6.257585e-02 0
2821 3.144923e-02 0
2822 8.507263e-02 0
2823 7.989501e-02 0
2824 1.669513e-02 0
2825 7.990871e-03 0
2826 8.908228e-02 0
2827 7.039212e-02 0
2828 5.033884e-02 0
2829 5.051192e-02 0
2830 7.765529e-03 0
2831 1.011401e-02 0
2832 1.004213e-02 0
2833 9.621349e-03 0
2834 6.450420e-02 0
2835 8.937404e-02 0
2836 7.412327e-03 0
2837 4.982527e-02 0
2838 2.521582e-01 0
2839 6.989692e-02 0
2840 8.875806e-02 0
2841 5.517588e-02 0
2842 7.962968e-02 0
2843 7.110344e-02 0
2844 2.555794e-01 0
2845 5.556850e-02 0
2846 5.347413e-04 0
2847 3.268360e-02 0
2848 5.787930e-02 0
2849 8.648224e-02 0
2850 4.814434e-02 0
2851 6.827607e-03 0
2852 4.479517e-02 0
2853 4.152179e-02 0
2854 6.299620e-02 0
2855 3.257067e-02 0
2856 8.620193e-02 0
2857 8.507358e-02 0
2858 7.230235e-02 0
2859 2.576386e-01 0
2860 8.879038e-02 0
2861 1.070756e-02 0
2862 8.535441e-02 0
2863 8.734381e-02 0
2864 9.794391e-03 0
2865 9.982195e-02 0
2866 1.033260e-02 0
2867 7.278711e-02 0
2868 7.575221e-02 0
2869 6.299402e-02 0
2870 6.152043e-02 0
2871 5.370788e-02 0
2872 7.351988e-02 0
2873 1.560851e-01 0
2874 1.551384e-01 0
2875 1.495563e-01 0
2876 1.551384e-01 0
2877 1.481869e-01 0
2878 8.763141e-02 0
2879 1.066544e-02 0
2880 5.500978e-02 0
2881 4.403177e-02 0
2882 3.037024e-02 0
2883 5.768852e-02 0
2884 7.677426e-02 0
2885 2.230449e-02 0
2886 4.840110e-03 0
2887 8.849935e-02 0
2888 5.172793e-02 0
2889 7.728651e-02 0
2890 1.459017e-02 0
2891 1.894536e-01 0
2892 7.253609e-02 0
2893 7.990871e-03 0
2894 7.036678e-02 0
2895 4.587913e-02 0
2896 3.627075e-02 0
2897 6.088722e-03 0
2898 6.693405e-02 0
2899 3.738791e-03 0
2900 4.294076e-05 0
2901 6.806781e-02 0
2902 6.321209e-02 0
2903 7.206109e-02 0
2904 8.042445e-02 0
2905 7.086587e-02 0
2906 4.636270e-02 0
2907 3.781521e-02 0
2908 2.444313e-02 0
2909 2.773949e-01 0
2910 3.309531e-03 0
2911 8.763141e-02 0
2912 4.464128e-02 0
2913 1.078441e-02 0
2914 7.349267e-02 0
2915 5.947925e-02 0
2916 1.533635e-03 0
2917 4.095494e-02 0
2918 4.025046e-02 0
2919 1.481838e-01 0
2920 8.535249e-02 0
2921 9.899764e-03 0
2922 1.511673e-02 0
2923 5.947444e-02 0
2924 8.849935e-02 0
2925 8.012444e-02 0
2926 6.968739e-02 0
2927 1.599141e-01 0
2928 1.272562e-01 0
2929 8.937504e-02 0
2930 5.557237e-02 0
2931 8.451445e-02 0
2932 8.423235e-02 0
2933 7.229741e-02 0
2934 2.441028e-01 0
2935 6.827524e-03 0
2936 6.277594e-02 0
2937 7.780189e-02 0
2938 7.500155e-02 0
2939 8.581796e-03 0
2940 8.310290e-03 0
2941 2.222157e-01 0
2942 6.320700e-02 0
2943 6.658636e-03 0
2944 1.428057e-02 0
2945 6.603969e-02 0
2946 3.223184e-02 0
2947 1.276541e-01 0
2948 3.199015e-02 0
2949 7.910413e-02 0
2950 7.376564e-02 0
2951 6.154400e-03 0
2952 1.007801e-02 0
2953 2.487813e-01 0
2954 2.583259e-01 0
2955 1.036963e-02 0
2956 4.762778e-02 0
2957 3.742881e-02 0
2958 5.595043e-02 0
2959 1.527995e-02 0
2960 2.832137e-01 0
2961 3.268360e-02 0
2962 4.080986e-02 0
2963 6.829591e-02 0
2964 8.791789e-02 0
2965 5.967214e-02 0
2966 9.201579e-02 0
2967 9.475861e-02 0
2968 1.168407e-01 0
2969 9.414447e-02 0
2970 8.203943e-02 0
2971 8.705706e-02 0
2972 8.176854e-02 0
2973 4.700348e-02 0
2974 6.807171e-02 0
2975 8.763141e-02 0
2976 1.131731e-01 0
2977 9.600193e-02 0
2978 7.648760e-02 0
2979 5.389565e-02 0
2980 7.933597e-02 0
2981 2.688160e-01 0
2982 5.808412e-02 0
2983 1.078415e-02 0
2984 1.105651e-02 0
2985 7.858086e-02 0
2986 8.705706e-02 0
2987 7.181565e-02 0
2988 5.353260e-02 0
2989 7.255269e-02 0
2990 2.861431e-01 0
2991 7.651930e-02 0
2992 3.467620e-02 0
2993 2.854128e-01 0
2994 2.868820e-01 0
2995 8.535441e-02 0
2996 1.074591e-02 0
2997 3.650982e-02 0
2998 1.036950e-02 0
2999 5.749566e-02 0
3000 1.082265e-02 0
3001 1.040653e-02 0
3002 9.350575e-03 0
3003 7.832041e-02 0
3004 7.110263e-02 0
3005 6.945499e-02 0
3006 8.069310e-02 0
3007 1.106691e-01 0
3008 5.085860e-02 0
3009 1.113741e-01 0
3010 7.475626e-02 0
3011 5.650666e-02 0
3012 8.705706e-02 0
3013 8.904986e-02 0
3014 3.268360e-02 0
3015 8.173577e-02 0
3016 1.882060e-02 0
3017 5.334846e-02 0
3018 7.962968e-02 0
3019 3.859749e-02 0
3020 9.119849e-03 0
3021 1.991817e-02 0
3022 3.514909e-02 0
3023 2.995230e-02 0
3024 3.983781e-02 0
3025 7.857997e-02 0
3026 8.734381e-02 0
3027 5.807673e-02 0
3028 8.936904e-02 0
3029 4.464233e-02 0
3030 2.666994e-01 0
3031 1.556112e-01 0
3032 3.970024e-02 0
3033 3.504062e-02 0
3034 7.525614e-02 0
3035 4.025046e-02 0
3036 9.317264e-03 0
3037 9.152462e-03 0
3038 4.325356e-02 0
3039 4.135767e-02 0
3040 2.854078e-01 0
3041 1.309177e-01 0
3042 8.734381e-02 0
3043 5.594914e-02 0
3044 7.651844e-02 0
3045 3.665867e-02 0
3046 6.472267e-02 0
3047 7.278628e-02 0
3048 7.450661e-02 0
3049 1.187122e-01 0
3050 6.992211e-02 0
3051 6.537247e-02 0
3052 2.123152e-02 0
3053 8.535345e-02 0
3054 5.244546e-02 0
3055 8.849935e-02 0
3056 6.342648e-02 0
3057 7.062742e-02 0
3058 7.302504e-02 0
3059 3.768314e-02 0
3060 3.122947e-02 0
3061 2.585137e-02 0
3062 2.673997e-01 0
3063 7.450577e-02 0
3064 6.537772e-02 0
3065 9.600193e-02 0
3066 4.494535e-02 0
3067 1.011340e-02 0
3068 8.705706e-02 0
3069 5.388751e-02 0
3070 5.243691e-02 0
3071 1.556112e-01 0
3072 2.652927e-01 0
3073 8.016023e-02 0
3074 2.964129e-02 0
3075 8.734381e-02 0
3076 8.820819e-02 0
3077 4.025046e-02 0
3078 3.026935e-02 0
3079 2.861481e-01 0
3080 4.931322e-02 0
3081 2.627583e-03 0
3082 3.553114e-02 0
3083 7.228134e-03 0
3084 8.340618e-02 0
3085 8.734381e-02 0
3086 7.910234e-02 0
3087 6.922252e-02 0
3088 3.514867e-02 0
3089 8.230928e-02 0
3090 7.963058e-02 0
3091 1.011221e-01 0
3092 7.500411e-02 0
3093 2.781201e-01 0
3094 6.236055e-02 0
3095 8.122736e-02 0
3096 6.945499e-02 0
3097 8.705706e-02 0
3098 8.231114e-02 0
3099 4.039077e-02 0
3100 3.795010e-02 0
3101 9.970757e-03 0
3102 2.788464e-01 0
3103 8.644157e-03 0
3104 8.937404e-02 0
3105 9.794510e-03 0
3106 8.423614e-02 0
3107 1.954565e-01 0
3108 7.626512e-02 0
3109 8.820819e-02 0
3110 8.705511e-02 0
3111 7.575737e-02 0
3112 7.076197e-03 0
3113 7.425774e-02 0
3114 3.928933e-02 0
3115 5.987875e-02 0
3116 8.734381e-02 0
3117 2.723735e-01 0
3118 7.110344e-02 0
3119 9.583933e-03 0
3120 7.279547e-02 0
3121 3.383873e-02 0
3122 2.335006e-02 0
3123 8.479169e-02 0
3124 7.015675e-02 0
3125 2.341139e-04 0
3126 7.278546e-02 0
3127 1.894640e-01 0
3128 6.363936e-02 0
3129 1.476288e-04 0
3130 4.510289e-02 0
3131 1.410547e-01 0
3132 6.450494e-02 0
3133 8.734381e-02 0
3134 5.519800e-02 0
3135 2.676375e-02 0
3136 8.042445e-02 0
3137 4.342510e-02 0
3138 5.768785e-02 0
3139 8.849836e-02 0
3140 8.849935e-02 0
3141 7.550551e-02 0
3142 2.752314e-01 0
3143 7.133930e-02 0
3144 8.705706e-02 0
3145 2.401640e-02 0
3146 9.025552e-02 0
3147 8.875408e-02 0
3148 9.829511e-03 0
3149 7.472098e-02 0
3150 9.485005e-03 0
3151 6.384996e-02 0
3152 2.646195e-02 0
3153 7.601172e-02 0
3154 8.763042e-02 0
3155 3.155161e-02 0
3156 3.969743e-02 0
3157 2.851977e-02 0
3158 8.521645e-03 0
3159 9.217921e-03 0
3160 3.111463e-02 0
3161 8.820819e-02 0
3162 2.862249e-02 0
3163 3.755926e-02 0
3164 1.693375e-02 0
3165 5.519159e-02 0
3166 6.363863e-02 0
3167 8.734381e-02 0
3168 8.849737e-02 0
3169 6.385437e-02 0
3170 6.406931e-02 0
3171 3.058674e-02 0
3172 3.037024e-02 0
3173 2.112101e-03 0
3174 8.705270e-03 0
3175 3.627376e-02 0
3176 8.937304e-02 0
3177 7.205451e-02 0
3178 6.194487e-02 0
3179 8.203758e-02 0
3180 2.576410e-01 0
3181 2.657932e-03 0
3182 5.710712e-02 0
3183 6.428789e-02 0
3184 5.594914e-02 0
3185 6.715708e-02 0
3186 6.193916e-02 0
3187 5.749100e-02 0
3188 8.042626e-02 0
3189 6.428789e-02 0
3190 3.847881e-02 0
3191 2.738038e-01 0
3192 1.556112e-01 0
3193 1.004213e-02 0
3194 5.824341e-04 0
3195 8.069310e-02 0
3196 4.700124e-02 0
3197 1.056919e-01 0
3198 8.706224e-03 0
3199 8.563511e-02 0
3200 8.339773e-02 0
3201 8.015842e-02 0
3202 6.407005e-02 0
3203 1.011401e-02 0
3204 9.759633e-03 0
3205 8.734381e-02 0
3206 8.368200e-02 0
3207 8.491262e-03 0
3208 1.066933e-02 0
3209 7.230235e-02 0
3210 4.879274e-02 0
3211 4.732280e-02 0
3212 6.626299e-02 0
3213 8.507263e-02 0
3214 8.763141e-02 0
3215 1.516862e-02 0
3216 4.845093e-02 0
3217 1.851159e-01 0
3218 3.222648e-02 0
3219 2.603366e-02 0
3220 2.861481e-01 0
3221 2.702321e-01 0
3222 8.734381e-02 0
3223 8.705706e-02 0
3224 8.734381e-02 0
3225 3.970024e-02 0
3226 3.552765e-01 0
3227 8.734381e-02 0
3228 8.149662e-02 0
3229 2.666946e-01 0
3230 1.044383e-02 0
3231 6.494109e-02 0
3232 8.507263e-02 0
3233 4.095112e-02 0
3234 8.734381e-02 0
3235 8.734381e-02 0
3236 8.734381e-02 0
3237 8.849836e-02 0
3238 4.387883e-02 0
3239 6.876053e-02 0
3240 1.018640e-02 0
3241 9.724878e-03 0
3242 8.734381e-02 0
3243 6.363643e-02 0
3244 3.551493e-02 0
3245 5.651486e-02 0
3246 7.933776e-02 0
3247 9.350575e-03 0
3248 8.734381e-02 0
3249 8.176761e-02 0
3250 8.763141e-02 0
3251 6.945420e-02 0
3252 2.709455e-01 0
3253 8.705706e-02 0
3254 7.805899e-02 0
3255 8.763141e-02 0
3256 2.581638e-03 0
3257 3.742836e-02 0
3258 8.069310e-02 0
3259 3.015878e-02 0
3260 8.820819e-02 0
3261 7.015755e-02 0
3262 8.990548e-03 0
3263 5.789664e-03 0
3264 4.914476e-01 0
3265 4.668284e-02 0
3266 5.828220e-02 0
3267 5.847957e-02 0
3268 6.449827e-02 0
3269 4.067096e-02 0
3270 5.844102e-02 0
3271 5.988013e-02 0
3272 2.593269e-02 0
3273 6.604196e-02 0
3274 2.788464e-01 0
3275 2.681061e-01 0
3276 7.181893e-02 0
3277 2.922717e-02 0
3278 2.795714e-01 0
3279 3.928841e-02 0
3280 2.652879e-01 0
3281 3.528297e-02 0
3282 3.291215e-02 0
3283 6.321209e-02 0
3284 5.371350e-02 0
3285 8.734381e-02 0
3286 7.500411e-02 0
3287 6.407005e-02 0
3288 8.368106e-02 0
3289 3.037528e-02 0
3290 8.996217e-02 0
3291 6.623980e-02 0
3292 8.937304e-02 0
3293 8.479265e-02 0
3294 2.832137e-01 0
3295 2.994875e-02 0
3296 5.691345e-02 0
3297 8.149662e-02 0
3298 7.651844e-02 0
3299 5.691345e-02 0
3300 8.734381e-02 0
3301 3.155161e-02 0
3302 8.176854e-02 0
3303 8.734381e-02 0
3304 1.511307e-02 0
3305 5.906859e-02 0
3306 5.519800e-02 0
3307 2.788464e-01 0
3308 7.754205e-02 0
3309 3.384231e-02 0
3310 5.594265e-02 0
3311 6.493810e-02 0
3312 8.763141e-02 0
3313 7.376480e-02 0
3314 8.762748e-02 0
3315 1.681382e-02 0
3316 5.500787e-02 0
3317 5.538617e-02 0
3318 8.908228e-02 0
3319 9.369679e-03 0
3320 8.734381e-02 0
3321 7.550723e-02 0
3322 5.887754e-02 0
3323 5.887754e-02 0
3324 5.887754e-02 0
3325 5.887754e-02 0
3326 5.887754e-02 0
3327 7.425689e-02 0
3328 8.258366e-02 0
3329 5.576434e-02 0
3330 2.652927e-01 0
3331 6.321209e-02 0
3332 6.321209e-02 0
3333 3.015878e-02 0
3334 8.069310e-02 0
3335 1.272589e-01 0
3336 1.681321e-02 0
3337 1.162194e-02 0
3338 1.071729e-01 0
3339 8.734381e-02 0
3340 8.849935e-02 0
3341 9.141049e-02 0
3342 7.203437e-02 0
3343 5.907815e-02 0
3344 8.130219e-03 0
3345 7.475626e-02 0
3346 6.320991e-02 0
3347 6.278172e-02 0
3348 2.407946e-01 0
3349 5.352882e-02 0
3350 6.945579e-02 0
3351 2.810249e-01 0
3352 4.748659e-02 0
3353 5.907815e-02 0
3354 2.658117e-02 0
3355 8.734381e-02 0
3356 1.363884e-04 0
3357 1.720429e-03 0
3358 6.604348e-02 0
3359 8.734381e-02 0
3360 3.337470e-02 0
3361 6.131984e-02 0
3362 8.734381e-02 0
3363 5.788734e-02 0
3364 2.576410e-01 0
3365 5.033473e-02 0
3366 6.028981e-02 0
3367 7.601086e-02 0
3368 1.458805e-02 0
3369 1.190891e-02 0
3370 2.514702e-01 0
3371 4.748437e-02 0
3372 5.749499e-02 0
3373 8.849836e-02 0
3374 3.467044e-02 0
3375 8.507263e-02 0
3376 5.968179e-02 0
3377 7.255269e-02 0
3378 8.313118e-02 0
3379 8.149846e-02 0
3380 8.095983e-02 0
3381 6.450346e-02 0
3382 4.931264e-02 0
3383 8.879038e-02 0
3384 8.705706e-02 0
3385 8.535057e-02 0
3386 2.666994e-01 0
3387 7.601172e-02 0
3388 2.802976e-01 0
3389 3.333724e-01 0
3390 8.479360e-02 0
3391 8.340618e-02 0
3392 7.062742e-02 0
3393 6.968739e-02 0
3394 4.166732e-02 0
3395 6.604196e-02 0
3396 3.047650e-02 0
3397 2.912687e-02 0
3398 5.887686e-02 0
3399 8.591472e-02 0
3400 7.062823e-02 0
3401 8.734381e-02 0
3402 1.149935e-01 0
3403 2.861481e-01 0
3404 8.908029e-02 0
3405 1.936282e-02 0
3406 8.734381e-02 0
3407 8.849737e-02 0
3408 2.687044e-02 0
3409 6.992291e-02 0
3410 2.810249e-01 0
3411 7.910413e-02 0
3412 1.571514e-02 0
3413 5.652403e-02 0
3414 9.821176e-02 0
3415 2.291401e-01 0
3416 6.152702e-02 0
3417 8.149846e-02 0
3418 5.353069e-02 0
3419 8.042445e-02 0
3420 8.015933e-02 0
3421 8.791986e-02 0
3422 8.763141e-02 0
3423 8.705706e-02 0
3424 6.625843e-02 0
3425 4.525564e-02 0
3426 7.303086e-02 0
3427 6.236486e-02 0
3428 2.277708e-03 0
3429 8.763141e-02 0
3430 8.395865e-02 0
3431 2.467715e-01 0
3432 8.395865e-02 0
3433 8.395865e-02 0
3434 1.321296e-01 0
3435 6.131913e-02 0
3436 2.984356e-02 0
3437 6.515944e-02 0
3438 1.936690e-02 0
3439 6.968921e-02 0
3440 7.425689e-02 0
3441 5.927893e-02 0
3442 6.899179e-02 0
3443 5.907747e-02 0
3444 8.734381e-02 0
3445 8.734381e-02 0
3446 8.934253e-02 0
3447 8.203850e-02 0
3448 4.715955e-02 0
3449 8.734381e-02 0
3450 2.624935e-01 0
3451 2.766709e-01 0
3452 4.604356e-02 0
3453 2.795714e-01 0
3454 1.556112e-01 0
3455 5.827816e-02 0
3456 8.849935e-02 0
3457 4.136521e-02 0
3458 2.810249e-01 0
3459 7.989501e-02 0
3460 1.096051e-01 0
3461 2.890905e-01 0
3462 2.854128e-01 0
3463 3.861460e-02 0
3464 1.032382e-03 0
3465 2.666946e-01 0
3466 5.788734e-02 0
3467 7.327320e-02 0
3468 8.705706e-02 0
3469 6.407153e-02 0
3470 5.808479e-02 0
3471 5.389753e-02 0
3472 4.982527e-02 0
3473 8.423519e-02 0
3474 8.507263e-02 0
3475 8.395771e-02 0
3476 8.313025e-02 0
3477 8.705706e-02 0
3478 5.710646e-02 0
3479 1.556112e-01 0
3480 8.820819e-02 0
3481 5.691345e-02 0
3482 8.849836e-02 0
3483 5.173456e-02 0
3484 5.208917e-02 0
3485 5.120036e-02 0
3486 3.983503e-02 0
3487 8.763141e-02 0
3488 4.798176e-02 0
3489 5.749566e-02 0
3490 5.208917e-02 0
3491 8.791986e-02 0
3492 5.907747e-02 0
3493 5.907747e-02 0
3494 8.763141e-02 0
3495 5.710646e-02 0
3496 2.846786e-01 0
3497 4.372229e-02 0
3498 6.131913e-02 0
3499 3.577888e-02 0
3500 2.832285e-02 0
3501 8.734381e-02 0
3502 8.042354e-02 0
3503 2.198950e-02 0
3504 5.730075e-02 0
3505 5.370538e-02 0
3506 8.820819e-02 0
3507 8.734381e-02 0
3508 2.861481e-01 0
3509 8.820917e-02 0
3510 8.734381e-02 0
3511 7.910413e-02 0
3512 5.809102e-03 0
3513 2.802926e-01 0
3514 3.029228e-01 0
3515 8.763141e-02 0
3516 4.210201e-02 0
3517 2.773999e-01 0
3518 7.857908e-02 0
3519 8.763141e-02 0
3520 4.764089e-02 0
3521 7.780189e-02 0
3522 2.795714e-01 0
3523 6.494109e-02 0
3524 7.805899e-02 0
3525 2.824829e-01 0
3526 2.752387e-01 0
3527 8.535441e-02 0
3528 1.082114e-01 0
3529 5.120752e-02 0
3530 3.301151e-02 0
3531 7.013069e-02 0
3532 8.849836e-02 0
3533 8.763141e-02 0
3534 8.015480e-02 0
3535 5.085860e-02 0
3536 6.992131e-02 0
3537 8.734381e-02 0
3538 7.062903e-02 0
3539 7.279547e-02 0
3540 2.175034e-01 0
3541 8.734381e-02 0
3542 7.776705e-02 0
3543 4.326170e-02 0
3544 6.898525e-02 0
3545 1.583229e-03 0
3546 7.276556e-02 0
3547 2.752387e-01 0
3548 8.619806e-02 0
3549 8.759848e-02 0
3550 3.336519e-02 0
3551 2.931802e-02 0
3552 4.210201e-02 0
3553 3.717141e-02 0
3554 3.234440e-02 0
3555 2.706272e-02 0
3556 2.781176e-01 0
3557 7.779836e-02 0
3558 4.166585e-02 0
3559 6.626604e-02 0
3560 9.853455e-02 0
3561 2.343320e-02 0
3562 4.897882e-02 0
3563 8.734381e-02 0
3564 5.926503e-02 0
3565 7.601172e-02 0
3566 3.058529e-02 0
3567 1.527921e-01 0
3568 2.839431e-01 0
3569 1.198123e-04 0
3570 2.666970e-01 0
3571 6.626528e-02 0
3572 3.503650e-02 0
3573 5.050721e-02 0
3574 6.693482e-02 0
3575 1.837106e-02 0
3576 8.734381e-02 0
3577 5.907815e-02 0
3578 6.364082e-02 0
3579 4.897940e-02 0
3580 8.313118e-02 0
3581 5.479384e-02 0
3582 8.285701e-02 0
3583 8.788783e-02 0
3584 5.191218e-02 0
3585 3.223146e-02 0
3586 6.671247e-02 0
3587 7.933417e-02 0
3588 6.807171e-02 0
3589 1.330396e-02 0
3590 7.575565e-02 0
3591 3.640465e-02 0
3592 6.989533e-02 0
3593 7.884210e-02 0
3594 6.170917e-02 0
3595 6.407079e-02 0
3596 6.716016e-02 0
3597 6.493064e-02 0
3598 8.340845e-03 0
3599 7.439423e-03 0
3600 2.792496e-02 0
3601 1.710469e-02 0
3602 4.312882e-02 0
3603 3.781968e-02 0
3604 3.742881e-02 0
3605 1.128145e-01 0
3606 7.990773e-03 0
3607 7.465981e-03 0
3608 7.519653e-03 0
3609 8.791986e-02 0
3610 8.820819e-02 0
3611 7.255510e-03 0
3612 7.152363e-03 0
3613 2.832137e-01 0
3614 7.573523e-03 0
3615 8.763141e-02 0
3616 7.806076e-02 0
3617 6.557220e-02 0
3618 2.781226e-01 0
3619 5.968179e-02 0
3620 6.682425e-03 0
3621 5.190916e-02 0
3622 6.088573e-03 0
3623 5.709522e-02 0
3624 3.419707e-02 0
3625 2.696738e-02 0
3626 8.763141e-02 0
3627 5.887005e-02 0
3628 3.268437e-02 0
3629 6.670941e-02 0
3630 5.049099e-02 0
3631 6.321282e-02 0
3632 8.849836e-02 0
3633 5.501558e-02 0
3634 8.763141e-02 0
3635 2.294087e-02 0
3636 7.753941e-02 0
3637 7.182882e-02 0
3638 2.817533e-01 0
3639 7.626426e-02 0
3640 8.820621e-02 0
3641 6.537922e-02 0
3642 2.802951e-01 0
3643 5.730075e-02 0
3644 4.179590e-02 0
3645 5.907815e-02 0
3646 5.947994e-02 0
3647 1.985527e-02 0
3648 6.069650e-02 0
3649 8.937504e-02 0
3650 1.113422e-02 0
3651 6.028285e-02 0
3652 8.879038e-02 0
3653 1.337937e-01 0
3654 8.849836e-02 0
3655 8.820819e-02 0
3656 2.645911e-01 0
3657 1.068169e-01 0
3658 4.136569e-02 0
3659 2.817533e-01 0
3660 7.626512e-02 0
3661 9.537634e-02 0
3662 5.243691e-02 0
3663 8.734381e-02 0
3664 5.768317e-02 0
3665 3.590167e-02 0
3666 4.982411e-02 0
3667 5.208007e-02 0
3668 6.853021e-02 0
3669 6.450049e-02 0
3670 8.423614e-02 0
3671 6.215453e-02 0
3672 1.687470e-02 0
3673 8.763141e-02 0
3674 8.763141e-02 0
3675 3.490183e-02 0
3676 8.849935e-02 0
3677 6.557711e-02 0
3678 8.763141e-02 0
3679 8.231021e-02 0
3680 5.371051e-03 0
3681 8.588527e-02 0
3682 7.702912e-02 0
3683 2.766783e-01 0
3684 8.908029e-02 0
3685 5.500914e-02 0
3686 3.202130e-03 0
3687 4.152371e-02 0
3688 8.368200e-02 0
3689 2.810249e-01 0
3690 7.780189e-02 0
3691 1.423236e-02 0
3692 2.795714e-01 0
3693 1.723581e-02 0
3694 8.096074e-02 0
3695 2.638860e-01 0
3696 5.102802e-02 0
3697 7.677426e-02 0
3698 5.808076e-02 0
3699 2.688135e-01 0
3700 2.741703e-02 0
3701 1.353806e-02 0
3702 7.133523e-02 0
3703 1.490987e-01 0
3704 5.907064e-02 0
3705 7.500581e-02 0
3706 1.309036e-01 0
3707 1.103090e-01 0
3708 8.227632e-02 0
3709 2.745133e-01 0
3710 8.042445e-02 0
3711 3.430179e-02 0
3712 5.334039e-02 0
3713 8.849836e-02 0
3714 3.005679e-02 0
3715 7.980483e-02 0
3716 4.897653e-02 0
3717 6.992291e-02 0
3718 7.386409e-03 0
3719 2.759579e-01 0
3720 7.884210e-02 0
3721 6.693635e-02 0
3722 4.699573e-02 0
3723 1.040476e-02 0
3724 7.858086e-02 0
3725 2.434117e-02 0
3726 4.981713e-02 0
3727 2.610964e-01 0
3728 7.273553e-02 0
3729 7.254436e-02 0
3730 6.876053e-02 0
3731 2.738038e-01 0
3732 6.761606e-02 0
3733 7.910413e-02 0
3734 8.937304e-02 0
3735 8.763141e-02 0
3736 8.763141e-02 0
3737 8.763141e-02 0
3738 8.937304e-02 0
3739 8.763141e-02 0
3740 8.937304e-02 0
3741 8.937304e-02 0
3742 8.849836e-02 0
3743 8.937304e-02 0
3744 8.763141e-02 0
3745 8.937304e-02 0
3746 4.095494e-02 0
3747 7.109532e-02 0
3748 7.015755e-02 0
3749 2.456268e-03 0
3750 2.652927e-01 0
3751 1.909949e-02 0
3752 8.395865e-02 0
3753 5.208856e-02 0
3754 1.330396e-02 0
3755 3.969884e-02 0
3756 1.413231e-02 0
3757 8.042626e-02 0
3758 7.134174e-02 0
3759 1.051221e-01 0
3760 4.863805e-02 0
3761 4.964804e-02 0
3762 1.252637e-01 0
3763 6.648319e-02 0
3764 1.025930e-02 0
3765 6.049004e-02 0
3766 6.999726e-03 0
3767 5.867620e-02 0
3768 4.781803e-02 0
3769 4.814152e-02 0
3770 7.230070e-02 0
3771 3.665911e-02 0
3772 9.152462e-03 0
3773 2.097535e-06 0
3774 7.990871e-03 0
3775 6.807171e-02 0
3776 2.709455e-01 0
3777 8.340618e-02 0
3778 7.110019e-02 0
3779 8.762846e-02 0
3780 2.933131e-02 0
3781 7.373247e-02 0
3782 8.479265e-02 0
3783 8.677019e-02 0
3784 8.966667e-02 0
3785 7.936516e-02 0
3786 7.039132e-02 0
3787 4.354518e-02 0
3788 3.807599e-02 0
3789 7.780189e-02 0
3790 5.691213e-02 0
3791 4.556958e-02 0
3792 1.048112e-02 0
3793 4.066425e-02 0
3794 4.762778e-02 0
3795 1.495563e-01 0
3796 8.763042e-02 0
3797 9.055277e-02 0
3798 8.423519e-02 0
3799 2.802976e-01 1
3800 2.810199e-01 1
3801 8.996217e-02 1
3802 1.504750e-01 1
3803 8.966667e-02 1
3804 1.707066e-01 1
3805 2.824829e-01 1
3806 3.056464e-03 1
3807 1.779541e-02 1
3808 1.701955e-01 1
3809 2.383823e-02 1
3810 1.691821e-01 1
3811 2.795714e-01 1
3812 8.996217e-02 1
3813 9.084988e-02 1
3814 3.616686e-01 1
3815 1.631906e-01 1
3816 2.461025e-01 1
3817 9.055479e-02 1
3818 5.967558e-02 1
3819 2.824829e-01 1
3820 1.602604e-01 1
3821 2.846786e-01 1
3822 7.012909e-02 1
3823 2.817533e-01 1
3824 1.701973e-01 1
3825 2.810249e-01 1
3826 2.832137e-01 1
3827 1.636832e-01 1
3828 8.878939e-02 1
3829 7.157997e-02 1
3830 2.752387e-01 1
3831 9.055175e-02 1
3832 1.717273e-01 1
3833 1.861981e-01 1
3834 7.450577e-02 1
3835 1.666654e-01 1
3836 8.878939e-02 1
3837 1.707066e-01 1
3838 2.730881e-01 1
3839 8.849637e-02 1
3840 8.966667e-02 1
3841 2.832137e-01 1
3842 3.717073e-01 1
3843 8.996217e-02 1
3844 2.788464e-01 1
3845 8.878939e-02 1
3846 1.320466e-02 1
3847 1.565602e-01 1
3848 5.130864e-01 1
3849 2.876221e-01 1
3850 4.731948e-02 1
3851 8.878939e-02 1
3852 8.878939e-02 1
3853 3.283116e-01 1
3854 1.350555e-01 1
3855 4.281343e-01 1
3856 4.114615e-01 1
3857 8.423519e-02 1
3858 2.752387e-01 1
3859 1.454777e-01 1
3860 2.702369e-01 1
3861 5.947375e-02 1
3862 1.516632e-02 1
3863 3.717073e-01 1
3864 8.878939e-02 1
3865 4.065537e-02 1
3866 8.451255e-02 1
3867 6.852942e-02 1
3868 7.230153e-02 1
3869 2.702369e-01 1
3870 5.032944e-02 1
3871 2.832112e-01 1
3872 2.832137e-01 1
3873 3.691869e-01 1
3874 6.582162e-02 1
3875 8.395771e-02 1
3876 8.591568e-02 1
3877 2.846786e-01 1
3878 8.908228e-02 1
3879 8.908228e-02 1
3880 2.832137e-01 1
3881 4.140811e-01 1
3882 7.062823e-02 1
3883 2.788464e-01 1
3884 2.817533e-01 1
3885 2.868845e-01 1
3886 9.055479e-02 1
3887 5.706343e-03 1
3888 1.608894e-01 1
3889 2.810249e-01 1
3890 2.766783e-01 1
3891 7.831952e-02 1
3892 8.849637e-02 1
3893 2.164715e-03 1
3894 9.026569e-02 1
3895 2.730881e-01 1
3896 9.144878e-02 1
3897 2.832137e-01 1
3898 2.861456e-01 1
3899 2.766783e-01 1
3900 4.062374e-01 1
3901 8.619999e-02 1
3902 2.730881e-01 1
3903 8.591858e-02 1
3904 2.027884e-02 1
3905 8.096074e-02 1
3906 8.507358e-02 1
3907 2.868820e-01 1
3908 2.861481e-01 1
3909 3.650020e-01 1
3910 2.752387e-01 1
3911 2.494597e-01 1
3912 8.535345e-02 1
3913 8.849737e-02 1
3914 8.176577e-02 1
3915 1.575140e-01 1
3916 4.253954e-02 0
3917 8.879038e-02 1
3918 8.791986e-02 1
3919 4.830969e-02 0
3920 5.947994e-02 0
3921 3.864168e-01 1
Confusion matrix description and interpretation.
# Keep only rows with no missing values <- email[complete.cases (email[, c ("line_breaks" , "exclaim_mess" ,"winner" , "inherit" , "number" )]), ]# Predicted probabilities <- logistic$ fitted.values# Convert predicted probabilities to classes <- ifelse (predicted.probs >= 0.5 , 1 , 0 )# Confusion matrix <- table (Predicted = factor (predicted.classes, levels = c (0 , 1 )),Actual = factor (email_subset$ spam, levels = c (0 , 1 ))
Actual
Predicted 0 1
0 3551 357
1 3 10
The confusion matrix indicates the level at which the logistic regression model classified the emails as spam (0.5 probability threshold). The model correctly classified 3551 non-spam emails and 10 spam-mails. But it classified 357 spam emails as non-spam (false negatives) and wrongly put 3 non-spam emails out of 5 spam (false positives). In general, the model did very well in detecting non-spam emails while not good at recognizing the spam emails. Which means that the model is very specific but less sensitive, so it correctly flags very few spam emails at the 0.5 limit. If spam detection should be a priority, reducing the threshold might improve sensitivity.
ROC Curve & AUC Interpretation
# ROC curve & AUC on full data <- roc (response = email_subset$ spam,predictor = logistic$ fitted.values, levels = c ("0" , "1" ), direction = "<" )# Print AUC value <- auc (roc_obj); auc_val
Area under the curve: 0.7951
# Plot ROC with AUC displayed plot.roc (roc_obj, print.auc = TRUE , legacy.axes = TRUE ,xlab = "False Positive Rate (1 - Specificity)" ,ylab = "True Positive Rate (Sensitivity)" )
The AUC value for this model is 0.795, which falls in the “fair to good” range. This means the model can correctly distinguish between spam and non spam emails about 79.5% of the time. In other words, the logistic regression model has strong predictive ability, and the selected predictors provide meaningful information for classifying emails as spam.
Conclusion and Future Directions
This analysis checked some of the variables that increase the probability that an email would be placed into the spam category. The logistic regression findings indicated that many of the variables (like the exclamation marks in the message, the word “winner” appearing in the message, inheritance mention and whether the email includes numbers, etc.) are significant predictors of spam. Emails containing more exclamation marks or with keywords such as “winner” and “inherit” were much more likely to be spam, whereas many line breaks or small numbers were less likely. While the model only accounted for about 12% of these variations, it still represented meaningful patterns for answering the research question.
For further research, more fine grained text based features such as word frequency or simple natural language processing tools would be able to be investigated to identify essential features that discriminate spam from regular emails. It could also tune the probability threshold or give it try more advanced models, like decision trees or random forests, to detect spam. Last but not least, a larger and more recent dataset could improve the accuracy of the spam prediction model.
