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@joshuajnoble
Created November 11, 2022 22:55
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---
title: "causal_trees_demo"
output: html_document
date: '2022-11-09'
---
```{r setup, include=FALSE}
knitr::opts_chunk$set(echo = TRUE)
```
```{r}
library(causalTree)
library(lmtest)
library(sandwich)
library(ggplot2)
marketing <- read.csv("causal_trees_data.csv")
tree <- causalTree(totalPurchases ~ SMSRecipient + emailRecipient + previousCustomer + juneVisit + as.factor(store),
data = marketing,
treatment = marketing$treatment,
split.Rule = "CT",
cv.option = "CT",
split.Honest = T,
cv.Honest = T,
split.Bucket = F,
minsize = 5)
opcp <- tree$cptable[,1][which.min(tree$cptable[,4])]
opfit <- prune(tree, opcp)
rpart.plot(opfit)
```
```{r}
tree2 <- causalTree(totalPurchases ~ SMSRecipient + emailRecipient + previousCustomer + juneVisit + as.factor(store),
data = marketing,
treatment = marketing$treatment,
split.Rule = "CT",
cv.option = "CT",
split.Honest = F,
cv.Honest = F,
split.Bucket = F,
minsize = 5)
opcp <- tree2$cptable[,1][which.min(tree2$cptable[,4])]
opfit <- prune(tree2, opcp)
rpart.plot(opfit)
```
id previousEmailRecipient previousSMSRecipient emailRecipient SMSRecipient previousCustomer store juneVisit totalPurchases treatment
1 25564 0 1 0 0 1 2 0 60.551920105498 0
2 22011 1 1 0 0 1 1 0 150.11745229108 0
3 28851 0 0 0 1 1 1 0 52.3356386157588 1
4 136724 0 1 0 0 1 0 0 144.742588404873 0
5 178688 0 1 0 0 1 1 0 54.152426229524 0
6 76741 1 0 1 1 1 1 0 30.9126675243655 1
7 84027 1 0 0 0 1 1 0 38.7675552658143 0
8 86705 1 0 1 1 1 1 0 32.5312740435328 1
9 122108 1 1 0 1 1 1 0 38.9304968731963 1
10 128367 1 0 0 1 1 1 0 52.7961194338567 1
11 76103 0 0 1 1 0 2 0 0 1
12 190189 0 1 1 0 1 0 0 46.1438751910066 1
13 48710 0 1 0 1 1 2 0 40.8896504697518 1
14 125749 1 1 0 0 1 0 0 60.2139574895931 0
15 60969 1 0 0 1 1 2 0 61.7732824466188 1
16 76283 0 0 1 0 0 0 0 0 1
17 33973 0 1 0 0 1 1 0 25.5365293078182 0
18 35398 0 1 1 0 1 1 0 110.234835238452 1
19 166589 1 0 1 0 0 1 1 31.8290060153707 1
20 82872 0 0 1 0 1 1 0 38.2798460110703 1
21 169526 0 0 1 1 1 1 0 55.985037869111 1
22 56336 1 0 0 1 0 2 0 0 1
23 69600 1 0 0 0 1 2 0 56.8517701253344 0
24 21637 0 1 0 0 1 1 0 32.0251643814602 0
25 154475 1 0 0 1 1 2 0 72.9533768412512 1
26 30498 1 0 0 1 0 0 0 0 1
27 137452 1 1 1 1 1 2 0 43.4660287587774 1
28 144529 0 0 0 1 1 1 0 35.7381983015236 1
29 177465 0 0 0 0 1 0 0 61.4539420571488 0
30 39024 0 0 0 1 0 2 0 0 1
31 14391 1 1 1 0 1 1 0 50.4360595650264 1
32 114715 0 1 0 0 1 0 0 40.8173288742381 0
33 33498 0 0 1 1 1 1 0 31.5027903040787 1
34 169177 0 0 1 1 0 1 0 0 1
35 102259 1 1 1 1 0 1 0 0 1
36 104408 1 1 1 1 1 2 0 46.3874242470444 1
37 126410 0 0 0 0 0 1 0 0 0
38 135633 0 1 0 1 1 0 1 46.6411482856085 1
39 85175 0 0 1 1 1 2 1 63.8649672464977 1
40 159670 1 1 0 1 1 0 0 165.290308609091 1
41 113828 0 0 0 0 0 0 0 0 0
42 41432 0 1 0 0 1 1 0 47.9601724831714 0
43 149371 1 1 0 0 1 1 0 34.8010473518765 0
44 77313 1 1 1 1 1 1 0 40.1011769090049 1
45 98929 1 0 1 0 1 1 0 53.9902540496988 1
46 104113 0 0 1 1 1 1 0 52.7739514775849 1
47 165950 1 1 0 1 1 2 0 69.9341913317583 1
48 93158 1 0 0 1 1 0 0 42.6950482110431 1
49 18728 1 1 0 1 1 1 0 21.3166839031081 1
50 35946 0 0 0 1 1 0 0 58.1438123299989 1
51 140654 1 1 1 1 0 1 1 270.295954766241 1
52 89192 1 0 0 0 0 0 0 0 0
53 65386 0 0 1 1 1 1 0 34.622174465244 1
54 135315 0 0 0 1 1 1 1 41.0568126252675 1
55 41486 0 1 1 1 0 0 0 0 1
56 34811 1 1 1 1 1 0 1 49.1422279053288 1
57 80368 0 1 1 1 1 1 0 39.2378375882693 1
58 180088 0 1 0 1 1 2 0 79.1318709919115 1
59 2633 0 0 0 1 0 2 0 0 1
60 154336 0 0 0 0 1 2 0 130.201973475719 0
61 22147 1 1 1 1 1 1 0 109.317462763074 1
62 155905 1 1 1 0 0 1 1 37.5110497559211 1
63 91866 0 1 1 1 1 2 0 57.3266382908779 1
64 59088 1 1 0 1 1 1 0 53.7129173391577 1
65 179484 0 0 1 1 0 1 0 0 1
66 107967 0 0 1 0 1 1 1 55.8780542652302 1
67 95250 1 1 1 1 1 2 0 62.568851278483 1
68 106156 0 0 0 1 1 1 0 38.8329887888615 1
69 131151 0 1 1 1 1 2 0 40.5443596238017 1
70 188349 0 0 0 0 1 0 0 101.000479388497 0
71 160435 1 1 1 0 1 1 0 39.5786340963957 1
72 45468 1 1 0 0 1 2 0 106.297753546177 0
73 106354 1 1 0 1 1 1 0 92.2576876467618 1
74 2046 0 0 0 0 0 0 0 0 0
75 65053 0 1 1 1 1 1 0 64.4473906949355 1
76 191217 0 0 1 0 1 2 1 53.46619451277 1
77 152645 1 0 0 0 1 1 0 39.2074330918787 0
78 92343 1 1 1 0 1 2 1 50.8040879699299 1
79 153525 0 1 1 1 1 2 1 84.1857892843053 1
80 178098 1 0 0 0 1 1 0 124.843136083243 0
81 107164 0 1 1 0 0 1 0 0 1
82 99196 0 1 0 0 1 1 0 37.9920175934258 0
83 9696 1 0 1 0 1 2 0 62.6973252041264 1
84 165968 0 0 0 0 1 2 0 56.7238230119193 0
85 167951 0 1 0 0 0 1 0 0 0
86 139493 1 0 0 0 1 1 0 44.4929083193975 0
87 188535 0 0 1 1 1 2 0 124.132692325687 1
88 187987 1 1 1 0 1 1 0 37.6496074542613 1
89 43491 1 0 1 0 0 0 0 0 1
90 179683 1 1 1 0 1 0 0 149.623753565379 1
91 32555 1 0 1 0 1 0 0 154.292045675498 1
92 199235 0 1 0 0 1 0 0 70.9393589262864 0
93 59478 1 0 1 0 1 0 0 42.2927783624524 1
94 40356 0 0 1 1 0 2 0 0 1
95 51680 0 1 1 0 0 1 0 0 1
96 123739 0 0 0 1 1 1 0 41.0280518033769 1
97 178387 0 1 1 0 1 1 1 42.5800879927034 1
98 43218 0 1 1 1 0 2 0 0 1
99 79910 0 1 0 1 0 2 0 0 1
100 115542 1 1 1 0 0 2 0 0 1
101 84711 1 1 0 0 1 1 0 38.9611639777568 0
102 35437 0 1 1 0 1 1 0 23.2557257255254 1
103 25251 0 0 0 0 1 0 0 36.0505942867236 0
104 92768 0 0 1 1 1 1 0 46.0765038878174 1
105 14448 0 1 1 0 1 1 0 48.0214026858672 1
106 187827 1 1 1 1 1 1 0 143.593631482888 1
107 74715 1 1 0 1 0 1 0 0 1
108 79701 0 1 0 1 1 0 1 137.124791516457 1
109 129683 1 0 1 0 1 0 0 55.2308910157409 1
110 62536 0 1 0 0 1 1 0 91.8619464862709 0
111 64128 0 1 1 1 1 0 0 50.9698301720658 1
112 185842 0 1 1 1 1 1 0 47.0083287557576 1
113 6323 1 0 0 1 0 2 0 0 1
114 146772 0 1 0 1 1 0 0 36.3463332828628 1
115 39724 1 0 0 1 1 2 0 48.7498217965972 1
116 71758 1 0 1 1 1 0 0 129.47584930695 1
117 99149 0 0 1 0 1 1 1 132.314047385308 1
118 179189 1 0 0 1 0 2 0 0 1
119 187742 0 0 0 1 1 2 0 127.977943742888 1
120 61696 0 0 0 0 1 1 1 36.826694704151 0
121 117801 1 0 1 1 1 2 1 59.8902243774081 1
122 105169 1 0 1 0 1 0 0 64.9162932404348 1
123 106173 0 0 0 1 0 1 1 246.790840021679 1
124 51694 1 0 1 0 1 1 0 49.5142387512829 1
125 58019 1 1 1 1 1 1 0 45.976708536044 1
126 17536 1 0 1 0 1 1 0 34.0528834056756 1
127 20988 0 0 0 1 1 0 0 112.195546376166 1
128 31790 1 1 0 0 1 1 0 35.205687875546 0
129 93856 1 1 1 0 1 1 0 127.443431218664 1
130 145759 1 1 0 1 1 0 0 135.187520340938 1
131 177377 0 0 0 1 1 1 0 49.5855089479407 1
132 146781 0 1 1 1 0 1 0 0 1
133 133764 1 0 0 0 0 0 0 0 0
134 10491 1 0 0 1 0 1 0 0 1
135 192214 1 1 0 1 1 1 0 34.6136821812895 1
136 74453 0 1 0 0 0 1 0 0 0
137 67093 1 1 1 1 1 1 0 16.2150403718509 1
138 121328 1 1 0 0 1 1 0 48.6915823482034 0
139 101003 1 1 1 0 1 1 0 54.0677607415995 1
140 184110 1 1 1 1 0 0 0 0 1
141 27142 0 1 1 0 1 1 0 55.2672506227551 1
142 39425 1 1 1 0 1 1 1 39.3294693010379 1
143 29325 1 1 0 0 1 1 0 113.874030890356 0
144 143224 1 0 0 1 1 0 0 47.6327002296383 1
145 161792 0 1 0 0 0 1 0 0 0
146 97844 0 1 1 1 1 1 0 44.4099777240337 1
147 90026 0 0 0 1 1 0 0 153.384232853185 1
148 116626 1 0 1 1 0 1 1 237.081926910661 1
149 196420 0 0 0 0 1 0 1 145.628926361337 0
150 168755 0 1 0 1 0 1 0 0 1
151 197734 1 1 1 1 1 2 0 69.8296253190937 1
152 35832 1 1 1 0 0 0 0 0 1
153 12622 1 1 1 0 1 1 0 31.3549194934354 1
154 49331 1 0 0 1 1 0 0 56.2510444476686 1
155 191396 0 0 0 1 1 2 0 135.963709394251 1
156 4267 1 1 0 0 0 1 0 0 0
157 14610 0 0 1 0 0 1 1 38.0785692372457 1
158 129065 0 0 1 1 1 0 0 53.8548246459306 1
159 3827 0 0 1 0 1 2 0 51.6249663913636 1
160 11530 1 0 0 0 1 1 0 65.8147472046341 0
161 131617 1 0 1 0 1 0 0 53.386308992724 1
162 83784 1 1 1 0 1 1 0 33.7693348371427 1
163 197747 0 1 1 0 0 1 0 0 1
164 66594 0 0 1 1 1 0 0 57.9542385461468 1
165 88036 1 1 0 1 0 2 1 286.224669207686 1
166 160500 1 0 0 0 1 1 0 105.195600601722 0
167 73492 1 1 0 0 1 1 0 91.8562143268201 0
168 57426 0 1 1 0 1 0 0 62.4934151261552 1
169 48716 1 0 1 1 0 0 1 233.153011716872 1
170 67319 1 0 1 1 1 2 0 67.2593904604576 1
171 26062 1 0 1 0 1 1 0 46.4578228269023 1
172 99721 0 0 1 1 1 1 0 133.083247348435 1
173 85292 0 1 1 1 0 2 1 273.760339170889 1
174 16909 1 1 0 1 1 1 1 54.4360929881987 1
175 144849 1 1 1 1 1 1 0 123.481974020069 1
176 4922 0 1 0 1 0 2 0 0 1
177 108924 1 0 0 0 1 1 0 56.9893101706623 0
178 9761 0 0 0 0 1 1 0 102.179906098118 0
179 76727 0 1 0 1 1 1 0 52.1535645634941 1
180 77360 0 1 0 1 1 0 0 44.461474215111 1
181 91532 1 1 0 1 1 1 0 106.150809941825 1
182 188952 1 1 0 1 0 0 1 287.450270202976 1
183 125972 0 0 1 1 1 0 0 31.3013904413524 1
184 175994 0 1 0 1 1 2 1 37.3988870206029 1
185 171325 0 0 0 1 1 0 1 63.8262915034977 1
186 118996 1 1 0 1 0 1 0 0 1
187 117319 1 0 0 0 1 1 0 30.6952847038817 0
188 66077 0 0 0 1 0 1 0 0 1
189 5717 0 1 1 1 0 1 1 244.405004485659 1
190 121305 1 0 0 1 0 1 0 0 1
191 137626 0 0 0 0 1 1 0 40.7203233068244 0
192 67453 0 1 1 1 1 1 0 40.8083193930254 1
193 111249 0 1 0 1 0 2 1 142.372662207528 1
194 191346 0 1 0 1 1 2 0 46.6489261105294 1
195 194929 0 1 1 1 1 0 0 92.5117560940551 1
196 168912 0 1 1 1 1 0 1 50.7881110627742 1
197 82290 0 1 0 1 0 0 1 270.085509011366 1
198 163482 1 1 0 0 1 1 0 49.7581574437144 0
199 128994 0 1 1 0 0 2 0 0 1
200 125656 0 1 1 0 1 1 0 51.6690859162065 1
201 141784 1 0 1 0 1 2 0 66.5890402077531 1
202 50125 0 1 1 0 1 1 0 110.825248418519 1
203 49030 0 1 1 0 0 0 0 0 1
204 152536 1 0 0 0 1 0 0 40.8216215550619 0
205 14336 1 1 1 1 1 1 0 21.6527972722112 1
206 162283 0 1 1 1 0 0 0 0 1
207 95974 1 0 1 1 0 0 0 0 1
208 129189 0 0 1 1 1 1 1 32.8325002328515 1
209 9069 0 1 0 1 1 1 1 100.213587028783 1
210 44720 0 0 1 0 1 2 0 146.378449006197 1
211 136939 0 0 0 0 1 1 0 32.927070481633 0
212 185676 1 1 0 0 1 0 0 37.9666188992832 0
213 103229 0 1 1 1 0 0 0 0 1
214 121410 1 1 1 1 1 1 0 106.461603522372 1
215 156182 0 0 0 1 1 1 1 134.497878431373 1
216 46035 0 1 1 0 1 1 0 55.2405658902848 1
217 27044 1 1 1 1 1 2 0 60.7934555201827 1
218 134997 1 1 1 1 1 2 0 43.7042757402665 1
219 78897 1 0 1 0 1 1 1 39.0176503636632 1
220 52406 1 1 0 0 1 1 0 51.698343432048 0
221 153921 0 0 1 1 0 2 0 0 1
222 97221 0 1 1 1 0 0 0 0 1
223 154541 0 1 0 1 0 1 0 0 1
224 141477 0 0 1 0 1 1 1 50.3373586866154 1
225 72308 1 0 1 0 1 1 1 35.5299838104422 1
226 141656 1 0 1 0 1 1 0 141.308019185338 1
227 11261 0 1 1 1 0 1 1 196.340335264647 1
228 164951 1 0 0 1 0 2 0 0 1
229 197387 0 1 1 1 1 1 0 41.6099925221085 1
230 120088 1 1 1 1 1 0 0 61.447432102156 1
231 3484 0 0 0 0 0 1 0 0 0
232 186284 1 1 0 0 1 0 0 43.428087011197 0
233 183545 0 0 1 1 1 1 0 46.7814269646338 1
234 45515 0 0 1 0 0 0 1 45.6610445543653 1
235 71060 1 1 0 1 1 1 1 28.2001240978416 1
236 82839 0 0 0 0 0 1 1 36.5290533457698 0
237 107392 1 1 0 0 1 1 0 33.438879013707 0
238 82280 0 0 0 0 1 1 0 98.3436508371032 0
239 23074 0 0 0 1 0 2 1 141.822660176907 1
240 22059 1 1 1 0 1 1 0 47.7234224538763 1
241 23968 0 1 0 0 0 0 0 0 0
242 110729 0 0 0 1 1 2 0 75.1386246020279 1
243 66156 0 0 0 1 1 1 0 46.5705048797386 1
244 127498 1 1 0 1 1 2 1 63.0080206836894 1
245 169424 0 0 0 1 1 1 0 20.2812421802488 1
246 176484 0 0 0 0 1 0 0 47.9206570752417 0
247 56329 1 0 0 0 0 2 0 0 0
248 61928 1 1 0 1 0 0 0 0 1
249 153142 1 1 1 0 0 1 0 0 1
250 53829 0 1 0 1 1 1 0 45.6717423971066 1
251 180740 1 1 0 1 1 2 0 56.0758198768084 1
252 158291 1 0 1 1 1 1 0 135.825184008519 1
253 35858 0 0 0 0 0 0 0 0 0
254 188154 0 0 1 1 0 1 0 0 1
255 166729 1 0 1 0 1 1 0 56.2892211433984 1
256 83889 1 1 0 1 1 1 0 48.6633195176313 1
257 116904 0 0 0 1 1 1 0 26.64003716557 1
258 70214 0 1 0 1 1 1 0 26.9191832055464 1
259 194143 0 0 0 1 1 2 0 55.310105215067 1
260 153134 0 0 1 0 0 1 0 0 1
261 25638 1 0 1 1 1 0 1 52.2141629636346 1
262 189884 0 1 1 1 1 2 0 40.0968012117512 1
263 36557 1 0 1 0 1 1 0 129.341333555736 1
264 146898 0 1 1 1 0 1 1 195.474277919533 1
265 102608 1 0 1 1 1 1 0 47.464415390593 1
266 113691 0 0 0 1 1 1 0 123.795490407334 1
267 176448 0 1 0 1 0 2 0 0 1
268 129286 1 1 1 0 1 0 0 65.7382983380454 1
269 198671 1 1 0 1 1 0 0 46.7720609475987 1
270 67028 0 0 0 1 1 0 1 53.5510752422496 1
271 93971 0 0 1 1 1 1 0 46.5851974111714 1
272 123367 0 0 1 0 1 0 0 119.11339011965 1
273 74246 1 1 1 1 1 0 1 41.4043925030275 1
274 199803 0 1 1 0 1 1 1 47.3547805237294 1
275 43165 0 0 1 1 1 1 1 39.5068814375822 1
276 83655 1 0 1 0 1 0 0 53.2088655086348 1
277 13705 0 1 0 0 1 1 1 21.3850092728756 0
278 59442 0 1 1 0 1 1 0 55.8817357988191 1
279 80843 1 0 0 0 1 2 0 50.2561899610482 0
280 62551 0 1 1 0 1 2 1 59.8889077173728 1
281 14169 0 1 1 1 1 0 0 131.263016245622 1
282 48310 1 1 0 0 1 1 0 32.9208292618773 0
283 148980 1 1 1 1 1 2 0 151.233254356197 1
284 3035 1 1 0 0 1 1 0 96.1584166494718 0
285 53094 0 0 0 1 1 1 0 120.096049497386 1
286 78668 1 1 1 1 0 0 0 0 1
287 20877 0 1 1 0 0 1 0 0 1
288 132220 1 0 0 1 0 1 1 221.282250698481 1
289 140424 1 0 0 1 1 1 1 45.3228206308833 1
290 119953 1 0 0 1 0 2 0 0 1
291 38943 0 1 0 0 1 1 0 33.9458250185232 0
292 167253 0 0 1 1 1 1 0 49.3797744138322 1
293 65132 1 1 0 1 1 1 0 62.3177818794105 1
294 136553 1 0 1 0 1 2 0 69.7071954076797 1
295 166580 1 1 1 0 1 1 1 48.2539598960884 1
296 142692 1 0 1 0 1 2 0 45.7414283580053 1
297 26438 0 1 1 1 1 1 0 45.2975927897571 1
298 126148 1 0 1 1 1 0 0 44.7243085696807 1
299 194274 0 0 0 1 1 1 0 16.1293867172231 1
300 114772 0 0 1 0 1 1 0 33.6963929072274 1
301 197377 0 1 0 1 1 0 1 49.5434990996158 1
302 57867 0 1 1 1 1 0 1 44.5871130828827 1
303 102162 0 0 0 0 1 1 0 29.9464010684089 0
304 63600 0 0 0 0 1 0 0 41.1197902389932 0
305 141720 0 0 0 1 0 0 0 0 1
306 198893 1 0 1 0 1 0 0 31.6178315385485 1
307 104215 0 1 0 0 1 1 0 17.5929970784065 0
308 16737 0 0 1 1 1 0 1 143.590702761277 1
309 163547 0 1 1 0 1 0 0 56.0077217816823 1
310 99229 0 0 1 1 0 0 0 0 1
311 17646 0 1 1 1 0 1 1 212.111241310587 1
312 59087 1 1 0 1 1 1 0 40.7283908725589 1
313 54997 1 1 0 0 0 0 0 0 0
314 35881 0 1 0 0 1 1 0 28.0682351896666 0
315 96733 0 0 1 0 1 2 0 53.1713756083989 1
316 42674 0 0 1 1 1 0 1 107.113071003474 1
317 147900 1 0 0 1 1 0 0 51.1298257728364 1
318 122072 1 1 1 1 1 0 0 50.9516778609366 1
319 18529 1 0 0 1 1 1 0 50.2199066665 1
320 121061 1 0 1 0 1 2 0 57.7984557925048 1
321 53080 0 0 0 0 1 2 0 73.5254318138676 0
322 135694 1 0 1 1 1 0 0 44.5901434162224 1
323 26216 1 0 1 1 1 0 1 149.239053953125 1
324 84679 1 0 0 1 0 1 0 0 1
325 73611 0 1 1 1 1 1 0 53.7769405191145 1
326 186743 0 1 1 0 1 2 1 54.730471464771 1
327 35181 0 0 1 0 1 1 1 59.7099533309842 1
328 127713 0 0 0 1 1 2 0 50.9535014159203 1
329 172761 1 0 1 0 1 1 0 38.0821929141079 1
330 121731 0 0 1 0 1 1 0 107.047956658678 1
331 150576 0 1 1 1 1 1 0 35.4298166162137 1
332 4640 0 0 1 1 1 1 0 46.7775379908915 1
333 110507 0 1 1 1 1 1 0 130.0125885784 1
334 2965 0 0 0 0 0 1 0 0 0
335 8229 1 0 1 1 0 1 0 0 1
336 32830 1 0 0 1 1 2 0 109.637898764937 1
337 68654 1 0 0 0 1 2 1 65.0255320832196 0
338 81476 1 1 1 1 1 0 0 148.009549445515 1
339 128514 0 0 0 1 1 1 0 57.1291557403907 1
340 169810 1 1 0 1 1 1 0 29.2236710749778 1
341 15028 0 1 0 0 0 1 0 0 0
342 58792 1 1 0 0 1 0 0 96.3421925239795 0
343 118979 1 1 0 0 0 1 0 0 0
344 83218 0 1 0 1 0 0 0 0 1
345 13086 0 0 1 0 1 2 0 54.5820069443633 1
346 31491 1 0 1 1 0 1 1 247.302603386543 1
347 154413 0 0 0 0 0 1 0 0 0
348 17908 0 0 1 0 1 0 1 54.6129306919985 1
349 53671 0 1 1 1 1 1 0 58.6887953598738 1
350 99397 0 0 1 0 0 1 0 0 1
351 53017 0 1 1 1 1 1 0 98.2259441619936 1
352 120782 0 0 0 0 0 0 0 0 0
353 65169 0 0 1 0 1 2 0 60.431963321142 1
354 113868 0 1 0 1 0 1 0 0 1
355 45974 0 1 0 0 1 1 0 109.792843575822 0
356 40635 1 1 1 0 1 2 0 142.634011206145 1
357 48451 0 0 1 1 0 2 0 0 1
358 151334 0 0 1 1 1 1 1 51.561166705351 1
359 195450 1 0 0 0 0 1 0 0 0
360 11418 0 0 0 0 1 0 0 47.3207977409988 0
361 76257 1 1 0 1 1 2 0 66.0264091221317 1
362 150959 0 1 0 1 1 0 0 113.569630713038 1
363 127802 1 1 0 0 0 1 1 100.494019399142 0
364 197248 1 0 1 0 1 2 0 50.4751032656842 1
365 156671 0 0 1 0 1 2 1 120.226776704113 1
366 92598 0 1 0 0 1 0 0 55.3446001962094 0
367 140348 1 0 1 0 1 1 0 104.503424060543 1
368 80463 0 0 0 1 1 2 0 48.5651490174618 1
369 161261 1 1 0 1 1 0 0 117.229934489415 1
370 162978 1 0 1 1 0 2 0 0 1
371 88494 1 1 1 0 1 0 0 59.2025628948545 1
372 88962 0 1 1 1 0 0 0 0 1
373 88201 0 1 0 1 1 1 0 147.782002727112 1
374 24662 0 0 1 0 1 2 0 53.7246293915587 1
375 102341 0 0 1 1 0 1 0 0 1
376 139295 0 1 1 1 1 1 0 24.6647780652003 1
377 53267 0 1 0 0 0 1 0 0 0
378 87233 1 1 0 0 1 1 1 143.447897405609 0
379 122441 0 0 0 0 1 1 0 43.9077108337897 0
380 11348 1 1 0 1 1 1 1 31.3298890639603 1
381 191800 0 0 0 0 0 0 0 0 0
382 182720 1 1 0 0 1 0 1 48.1608709349803 0
383 161227 0 1 1 1 0 1 1 239.021809579752 1
384 69209 1 1 1 1 1 0 0 70.5505870584658 1
385 174141 1 1 1 1 1 0 1 115.136276992193 1
386 24872 0 0 0 0 1 0 0 53.9454311065776 0
387 180290 1 0 1 1 1 2 0 114.438700123068 1
388 197576 0 0 0 0 1 0 0 39.535949743278 0
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1766 165279 1 1 0 1 1 1 1 39.5344504821133 1
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1770 104835 1 0 1 0 1 2 0 76.5912260953054 1
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1772 74619 1 1 1 1 1 1 0 63.5753456372819 1
1773 181164 1 1 1 0 1 0 1 32.1852026716547 1
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1779 174788 1 0 0 0 1 1 0 58.9055326022258 0
1780 160910 1 0 1 1 0 1 0 0 1
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1782 179127 0 0 1 0 0 1 0 0 1
1783 136815 0 1 0 1 1 1 1 135.612390076368 1
1784 43983 0 0 0 0 1 2 0 74.9730700932556 0
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1786 59233 1 1 1 1 1 2 0 51.0269667438782 1
1787 66702 1 1 1 1 1 1 1 132.086148788592 1
1788 199293 0 1 0 1 1 2 0 55.4748503784315 1
1789 37991 0 0 0 1 1 2 0 156.816445102871 1
1790 137095 1 0 1 1 1 2 1 47.6039423818863 1
1791 140100 1 0 0 1 1 1 0 49.8357062496066 1
1792 181849 1 1 0 1 1 0 0 56.3100163583945 1
1793 26158 0 0 0 1 1 1 1 51.4620260979255 1
1794 164677 0 1 1 0 1 1 0 28.5303582285599 1
1795 45142 0 0 0 1 0 0 1 272.957341568312 1
1796 57042 0 1 0 1 1 1 0 52.0269039700333 1
1797 25536 0 1 0 1 0 2 0 0 1
1798 61713 1 1 1 1 1 2 1 67.12178180335 1
1799 123624 0 1 0 0 1 1 0 50.8982713512175 0
1800 116557 0 0 0 1 1 1 0 156.791445585351 1
1801 177095 0 0 1 0 1 0 0 50.8682851393779 1
1802 97838 1 0 1 1 1 2 1 47.5015201166942 1
1803 74802 1 0 1 0 0 2 0 0 1
1804 45635 0 0 1 0 1 2 1 68.2219996412518 1
1805 189099 0 1 0 1 1 1 1 35.129756409895 1
1806 196523 0 1 0 0 1 1 0 45.8397226966815 0
1807 84805 1 0 1 0 0 0 0 0 1
1808 55624 0 0 0 0 1 0 0 111.479785017583 0
1809 35494 1 1 0 0 1 1 0 121.84128240289 0
1810 69299 1 0 0 1 1 0 0 61.1852988064406 1
1811 140949 0 0 0 0 1 1 0 41.2800641634189 0
1812 30411 1 1 1 0 1 0 0 48.4153531852976 1
1813 118036 0 0 1 0 1 1 0 35.259732683123 1
1814 145001 0 1 0 0 1 1 0 41.8351569148123 0
1815 121516 0 1 0 0 1 1 0 104.140162673996 0
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1817 126649 0 0 0 1 1 1 0 104.39109106312 1
1818 2863 1 1 1 0 0 0 0 0 1
1819 18391 0 0 1 1 0 2 0 0 1
1820 151871 1 1 1 0 1 1 0 49.5238284393346 1
1821 50805 1 1 1 0 0 2 0 0 1
1822 107326 0 0 1 1 1 1 0 45.3629849920645 1
1823 107311 1 1 0 0 1 2 0 50.6022686343292 0
1824 40916 0 0 0 0 0 2 0 0 0
1825 51419 1 0 1 1 1 1 1 127.004653165908 1
1826 195311 0 0 0 1 1 1 1 29.9873337495978 1
1827 50450 1 0 1 1 0 1 0 0 1
1828 43421 1 0 1 1 0 1 0 0 1
1829 97098 0 1 0 0 1 0 0 148.846815330018 0
1830 179011 0 0 1 0 0 2 0 0 1
1831 139606 0 0 0 1 1 2 0 48.4837246217418 1
1832 89554 1 1 1 1 1 0 0 52.8841358612351 1
1833 53062 0 0 1 0 1 1 0 39.9001203356307 1
1834 138449 0 0 0 0 0 1 0 0 0
1835 162817 1 1 0 1 1 1 0 86.534373186638 1
1836 87116 1 0 1 1 1 0 0 44.2290243844491 1
1837 11771 0 0 1 0 1 2 0 56.0014794628354 1
1838 115986 0 0 1 1 0 1 0 0 1
1839 111146 0 0 0 1 0 0 0 0 1
1840 124151 1 0 0 1 0 1 0 0 1
1841 47744 1 1 0 1 1 2 1 57.8654955603904 1
1842 135932 1 0 0 0 1 2 0 55.9193487767658 0
1843 198631 1 1 1 1 0 0 0 0 1
1844 63213 1 0 1 1 0 1 1 248.009285575771 1
1845 101051 0 1 0 1 1 1 1 117.274070386061 1
1846 62515 1 0 1 1 1 2 0 49.4849953204617 1
1847 178182 0 0 0 1 1 2 0 66.3270372579157 1
1848 115389 1 1 1 0 1 1 1 54.8655959851719 1
1849 166535 1 1 1 1 1 1 0 41.587473413954 1
1850 127314 0 0 1 0 0 1 0 0 1
1851 16063 1 1 0 1 0 2 0 0 1
1852 191573 1 1 1 0 1 2 0 51.3720539749564 1
1853 125058 0 0 1 0 1 1 0 91.9800098460055 1
1854 174465 0 1 1 0 0 0 0 0 1
1855 16163 0 1 1 1 0 0 0 0 1
1856 75294 0 1 0 0 1 2 0 58.3035985807274 0
1857 188072 1 0 1 0 1 0 0 63.5274560802803 1
1858 172711 0 0 1 1 0 1 0 0 1
1859 119474 1 1 0 0 1 1 0 44.3838290606206 0
1860 72324 1 1 1 1 0 1 1 278.670386038807 1
1861 41080 0 0 0 0 1 2 0 51.890106521765 0
1862 35413 0 0 1 0 1 1 1 130.13331374164 1
1863 177751 0 1 0 1 1 1 0 139.747432941245 1
1864 131996 0 1 1 0 1 0 0 59.6533817252078 1
1865 103241 1 1 1 1 1 1 1 40.8147036707044 1
1866 141474 1 1 0 0 1 1 0 122.68242629344 0
1867 103176 0 0 0 0 1 0 0 38.9670789115065 0
1868 147741 1 0 1 1 0 0 1 264.022359143809 1
1869 173161 0 0 1 0 1 2 0 43.8310487799986 1
1870 96278 1 0 1 0 0 0 0 0 1
1871 149978 0 1 0 1 1 0 1 57.2656203957069 1
1872 126072 1 0 1 0 0 2 0 0 1
1873 124476 1 1 0 1 1 2 1 162.767387535493 1
1874 161864 0 1 1 0 1 0 0 45.8087230911787 1
1875 198760 0 0 1 0 1 0 0 57.180488741276 1
1876 19432 1 0 1 1 1 1 0 31.2548753128878 1
1877 80438 0 1 0 0 1 2 0 51.9252514978354 0
1878 194441 1 0 0 0 0 1 0 0 0
1879 74361 1 0 0 0 1 0 0 52.7353688509401 0
1880 197735 0 0 0 1 0 2 0 0 1
1881 168542 0 1 0 1 1 2 0 43.8494420680789 1
1882 8887 0 0 0 1 1 1 0 128.832151084661 1
1883 36062 0 1 0 1 1 2 1 122.30969503828 1
1884 181325 0 1 0 1 1 2 1 69.9504710246096 1
1885 14294 0 0 1 1 1 1 0 35.0834712236652 1
1886 27620 1 1 0 1 1 1 0 63.6437761696515 1
1887 120965 1 1 1 1 1 1 1 139.564440664402 1
1888 65817 0 0 0 0 1 1 0 39.9629371502047 0
1889 139166 0 1 1 0 0 2 0 0 1
1890 62385 1 0 1 1 1 1 0 38.3191144567742 1
1891 155227 0 0 0 0 1 2 0 99.224464335355 0
1892 193137 0 1 1 1 1 2 1 62.1508818690022 1
1893 124649 1 1 0 1 0 2 1 159.649582169792 1
1894 79717 0 1 1 0 1 1 0 101.185793118148 1
1895 151583 0 0 1 1 1 2 0 51.4284469689221 1
1896 172756 1 1 0 1 1 2 0 72.2584103140513 1
1897 166723 0 1 1 1 1 2 0 114.125048715554 1
1898 46668 1 1 0 1 1 1 0 49.7895230273423 1
1899 51340 1 0 0 0 1 1 0 99.0370017732085 0
1900 70909 1 0 1 1 0 2 0 0 1
1901 100582 0 1 1 1 0 1 1 263.631453533048 1
1902 150261 0 0 0 1 1 2 0 54.831874473458 1
1903 23518 1 0 0 1 1 1 1 36.3120358897065 1
1904 129142 1 0 1 0 1 2 0 165.016120179271 1
1905 167044 1 1 1 1 1 1 1 46.4339967338461 1
1906 3330 0 1 1 0 1 2 0 76.0220951422447 1
1907 190577 0 0 1 0 1 0 0 41.7463644804684 1
1908 33210 1 1 1 1 0 2 0 0 1
1909 132116 1 0 1 0 1 1 0 44.3356814318048 1
1910 42525 1 0 0 0 1 1 0 44.5915951805909 0
1911 109394 0 1 1 1 1 2 1 51.7308832511062 1
1912 91057 0 0 0 0 1 0 0 42.0746939607778 0
1913 186566 1 0 0 0 1 0 1 50.0288387988964 0
1914 126135 0 1 1 1 1 1 0 55.0709129571138 1
1915 87672 1 0 1 0 1 1 0 38.067503748703 1
1916 139964 1 1 0 0 1 1 0 49.7303655284828 0
1917 37856 1 1 1 1 1 2 1 61.0550566905084 1
1918 194297 0 0 1 0 0 1 0 0 1
1919 143161 0 0 0 1 0 1 0 0 1
1920 86642 1 1 0 0 0 1 0 0 0
1921 8263 1 1 1 0 1 2 0 54.9797392364983 1
1922 61877 1 1 0 0 0 2 0 0 0
1923 184933 1 1 1 1 1 0 0 44.7680001800603 1
1924 172045 1 0 0 0 0 1 0 0 0
1925 79494 0 0 1 0 1 1 0 43.4605322177964 1
1926 122459 1 0 1 0 1 1 0 113.620283269922 1
1927 59747 1 1 1 0 1 2 0 59.34553515624 1
1928 7128 0 0 0 0 1 0 0 129.128362204809 0
1929 59366 0 0 1 1 1 2 0 126.498519254393 1
1930 152460 1 0 0 0 1 1 0 45.8925923124421 0
1931 47326 1 1 0 1 0 2 1 273.794298121199 1
1932 25453 0 0 0 0 1 1 1 36.6101462604777 0
1933 42955 1 1 1 1 0 2 0 0 1
1934 129329 1 0 0 1 1 2 0 47.198827233039 1
1935 80999 0 1 1 0 1 1 0 26.1820959871309 1
1936 61144 1 1 0 0 0 1 0 0 0
1937 60214 0 0 1 0 1 0 0 49.9393395132961 1
1938 153634 1 0 0 0 1 1 0 45.6155260153356 0
1939 34342 1 1 0 1 1 1 0 47.6899277496961 1
1940 148027 0 1 0 0 1 1 0 32.4993458133634 0
1941 62632 0 0 1 1 0 2 0 0 1
1942 65553 1 1 1 0 1 2 0 55.9564540481269 1
1943 29803 1 0 0 0 1 1 0 26.4443132100389 0
1944 21354 1 0 0 0 1 1 0 127.280820659387 0
1945 51741 1 1 0 1 1 1 0 50.9809021684366 1
1946 68049 1 1 1 0 1 1 1 17.3384429309189 1
1947 32225 0 0 1 1 0 2 0 0 1
1948 28909 1 0 1 0 1 1 1 55.7906315611397 1
1949 66624 0 0 1 1 1 1 0 39.1380732775336 1
1950 4558 0 1 1 0 1 2 0 41.964961833954 1
1951 195797 1 0 0 0 0 1 0 0 0
1952 85829 1 1 1 1 1 1 0 119.984416314266 1
1953 91651 1 1 0 0 0 1 0 0 0
1954 80218 0 1 1 0 0 2 1 41.5487169473786 1
1955 62054 1 1 1 0 1 2 0 104.513144961516 1
1956 67178 0 1 1 1 1 1 0 114.845276871597 1
1957 189196 0 1 0 0 0 1 0 0 0
1958 191512 0 0 1 0 1 0 0 69.5271554446069 1
1959 102073 0 0 1 0 0 1 0 0 1
1960 104418 0 1 0 1 1 1 0 46.9263640654363 1
1961 34833 1 0 1 0 1 2 0 59.6643869985276 1
1962 27565 0 0 1 1 1 1 0 111.837361870119 1
1963 86651 1 0 0 1 1 0 0 49.8349776709694 1
1964 74373 1 0 1 0 0 0 0 0 1
1965 90240 1 1 0 1 0 1 0 0 1
1966 52087 0 0 0 0 1 1 0 37.4098898156464 0
1967 31152 0 1 0 1 0 1 0 0 1
1968 191364 1 1 0 1 1 0 0 55.060650740079 1
1969 159740 0 1 0 1 1 0 0 49.8169314453046 1
1970 98175 1 1 0 1 1 2 0 77.5764518936579 1
1971 25058 1 0 0 1 1 2 0 64.3957649494255 1
1972 193668 1 1 1 0 0 1 0 0 1
1973 198660 1 1 1 1 1 1 0 45.1961056498968 1
1974 128140 1 1 0 1 0 1 0 0 1
1975 18517 1 0 1 1 1 0 0 44.3097667143443 1
1976 191537 0 0 0 0 1 1 0 37.4054371782233 0
1977 29729 0 0 1 1 0 1 0 0 1
1978 105724 0 1 1 0 0 1 1 27.0533155632683 1
1979 3730 1 0 1 0 0 2 0 0 1
1980 69936 0 0 0 1 1 1 1 46.3408011498989 1
1981 113489 0 0 1 0 0 1 0 0 1
1982 18033 1 0 0 0 1 2 0 62.1882220135966 0
1983 83071 0 0 1 0 1 1 1 44.2534129021437 1
1984 85860 0 0 0 0 1 0 0 41.0742363181427 0
1985 66450 0 1 0 1 1 1 0 48.6583534483897 1
1986 119760 0 0 0 0 0 1 0 0 0
1987 117845 0 0 0 0 1 0 0 56.5160318208281 0
1988 117748 1 0 0 0 0 0 0 0 0
1989 147543 1 1 1 0 1 1 0 37.8195771148769 1
1990 2575 1 0 1 0 1 0 0 50.5860107300706 1
1991 50427 0 0 0 0 1 0 0 44.66815584546 0
1992 47943 0 1 1 0 0 1 0 0 1
1993 50694 1 1 0 1 1 1 0 56.5563335373246 1
1994 60426 1 0 1 1 0 2 1 280.791873318853 1
1995 6421 0 0 0 1 0 1 0 0 1
1996 28306 1 0 1 0 1 0 0 39.1435077794477 1
1997 79719 0 0 1 0 1 0 0 114.241425476865 1
1998 114029 1 0 0 1 0 2 0 0 1
1999 93160 1 0 0 1 1 2 0 34.1660991141917 1
2000 117276 1 1 1 1 1 1 0 43.7079930369929 1
2001 146644 0 1 1 1 1 0 0 147.373935916241 1
2002 54353 0 1 0 0 0 1 0 0 0
2003 166521 1 1 0 1 1 0 1 141.054715363677 1
2004 162547 1 1 0 1 0 2 0 0 1
2005 133355 0 0 1 0 1 0 0 58.1861267452302 1
2006 59520 0 0 1 0 1 0 1 49.1014352062647 1
2007 23301 1 0 0 0 1 1 0 141.200593712602 0
2008 81484 1 1 0 1 1 1 1 49.0344419736268 1
2009 188454 1 1 0 0 0 0 0 0 0
2010 154133 1 1 1 0 1 2 0 120.247075809026 1
2011 147309 1 1 0 0 1 2 1 54.4410338510712 0
2012 88526 0 1 0 1 0 1 0 0 1
2013 145600 1 1 1 0 1 1 0 35.887295427033 1
2014 23423 0 1 0 1 0 1 0 0 1
2015 34711 0 1 0 1 1 1 0 34.6930519826238 1
2016 192280 1 1 0 1 1 0 0 56.8672196510282 1
2017 101968 0 0 0 0 0 0 0 0 0
2018 34649 1 1 1 1 1 1 0 31.0269007364669 1
2019 21512 1 0 1 1 1 1 0 28.7757720025482 1
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