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台灣社會變遷20年
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wclass
year
grandf
t
quest
pweight
female
age
age2
cohort_y
zyear
cohorty
b_place
fethnic
spouse_ch
spouse
unmarried
married
married_1
married_2
married_3
married_4
educyr
seducyr
feducyr
edu_boy
edu_girl
patrilocala
patrilocalb
patrilineal
conflict1
conflict2
conflict3
poshi
divorce
lineage
ggran
gran
fm
hw
sib
sd3
gsd3
singlef
bigf
inf
coref
hwf
inc
lninc
incf
lnincf
greenvote
social
urbanize
kao
tpi
ntpc
religion
tvt
web
foreign
beench
hardship
background
rich
ilazy
wlazy
happiness
geron
auto
tittat
confuse
freesp
ig
mparty
powerb
judgei
protest
webprotest
demo
taiwanese
indepen
proinde
prouni
egp
workforce
wclass
year
grandf
4
1
0.85656863
1
56
3136
1
1960
7
631
1
0
0
0
1
1
0
0
0
9
6
0
18
16
1
3
0
0
0
1
0
1
0
0
0
0
1
0
0
15000
9.6158056
1
2
2
0
1
0
2
2
2
1
0
3
1
4
1
3
3
-1
1
2
1
1
1
1
3
3
1
3
2
9996
0
0
2015
0
4
1
0.85656863
1
73
5329
0
1943
4
116
1
0
0
0
1
1
0
0
0
6
6
0
12
12
4
3
4
0
0
0
1
0
1
1
0
1
0
0
0
0
15000
9.6158056
0
3
2
0
1
0
1
1
0
1
0
3
3
2
2
2
2
-1
-1
-1
-1
-1
-1
3
3
0
3
9996
0
0
2015
1
4
1
0.85656863
0
57
3249
1
1959
7
623
1
0
0
0
1
1
0
0
0
12
12
6
16
16
4
4
0
0
0
1
0
0
0
0
0
0
0
1
5000
8.5171928
5000
8.5171928
1
2
2
0
1
0
3
4
0
1
1
2
-1
3
1
2
2
3
-1
2
-1
-3
-3
-3
3
3
1
4
2
8
0
0
2015
0
4
1
0.85656863
1
39
1521
3
1977
11
551
1
0
0
0
1
1
0
0
0
16
12
15
16
16
4
4
4
0
0
0
1
0
1
0
0
0
0
1
0
45000
10.714417
95000
11.461632
1
4
2
0
1
0
3
0
3
1
1
2
1
2
1
3
2
1
-1
3
-1
-1
-1
-1
2
3
0
3
2
2
1
2
2015
0
4
1
0.85656863
1
22
484
4
1994
14
116
1
0
0
1
0
0
0
0
0
16
14
16
16
4
4
4
0
0
1
0
1
0
0
0
0
0
1
0
0
165000
12.0137
0
5
2
0
1
0
2
1.5
5
1
1
2
-1
2
1
1
2
1
-1
1
-3
3
1
3
3
1
3
2
9996
0
0
2015
0
4
1
0.85656863
1
67
4489
0
1949
5
399
3
0
0
0
1
0
0
0
1
16
16
6
16
16
4
2
4
0
0
0
0
0
1
0
0
0
0
0
0
55000
10.915089
55000
10.915089
0
4
2
0
1
0
0
0
0.5
1
1
2
-1
2
1
2
2
3
1
2
1
1
1
-1
2
1
-1
1
3
2
1
2
2015
0
4
1
0.85656863
0
27
729
4
1989
13
320
1
0
0
1
0
0
0
0
0
18
18
16
16
4
4
4
0
0
1
0
1
0
0
0
0
0
1
0
5000
8.5171928
0
1
2
2
0
0
0
0
0
4
0
0
1
1
1
1
2
-1
-3
1
-3
-3
1
-3
3
3
1
3
2
2
1
2
2015
0
4
1
0.85656863
0
25
625
4
1991
14
100
1
0
0
1
0
0
0
0
0
16
16
9
9
4
4
0
1
1
0
1
0
0
0
1
0
0
0
0
155000
11.95118
1
4
2
0
1
0
0
0.5
2
1
0
2
1
2
1
2
2
-3
-3
1
-1
-1
-1
-1
3
3
1
3
3
9996
0
0
2015
1
4
1
0.85656863
0
44
1936
2
1972
10
242
1
0
0
0
1
1
0
0
0
18
16
16
16
16
4
3
4
0
0
0
1
0
0
0
0
0
0
0
1
350000
12.765689
350000
12.765689
1
3
2
0
1
0
7
4
2
1
1
4
3
3
1
2
1
-1
1
2
-1
-1
-1
-1
2
3
0
2
1
1
1
2
2015
0
4
1
0.79409355
1
31
961
3
1985
12
115
1
0
0
1
0
0
0
0
0
14
6
14
14
4
3
0
0
1
0
0
0
0
0
0
0
1
0
35000
10.463103
75000
11.225244
0
5
2
0
0
0
3
1.5
3
0
0
2
1
2
1
2
2
3
1
2
1
1
1
-1
1
3
0
2
2
3
1
1
2015
0
4
1
0.79409355
1
46
2116
2
1970
9
105
3
0
0
0
1
0
0
0
1
12
12
16
16
16
3
3
4
0
0
0
0
0
1
0
0
0
0
0
0
15000
9.6158056
15000
9.6158056
0
4
2
0
0
0
1
3
1
0
0
2
1
3
1
2
2
-1
1
2
1
1
-1
-1
1
3
0
2
1
9
1
3
2015
0
4
1
0.79409355
1
52
2704
1
1964
8
206
1
0
0
0
1
1
0
0
0
12
12
6
16
16
1
3
3
0
0
1
1
0
1
0
0
1
0
0
0
35000
10.463103
85000
11.350407
0
4
2
0
0
0
3
0
3
1
1
3
3
3
1
2
2
-1
1
2
1
2
3
0
2
1
3
2015
1
4
1
0.79409355
0
41
1681
2
1975
10
206
1
0
0
0
1
1
0
0
0
12
12
9
16
16
1
3
4
0
0
1
1
0
1
0
0
1
0
0
0
55000
10.915089
195000
12.180755
0
3
2
0
0
0
1
2
1
0
0
2
3
3
-1
2
2
1
1
2
1
-1
1
-1
3
3
0
2
3
8
1
1
2015
1
4
1
0.79409355
0
50
2500
1
1966
9
401
1
0
0
0
1
1
0
0
0
12
12
6
16
16
4
3
4
0
0
0
1
0
1
0
0
0
0
1
0
65000
11.082143
95000
11.461632
0
4
2
0
0
0
3
1
1
1
1
2
3
2
1
1
3
1
1
3
1
1
1
-1
1
1
0
2
2
2
1
2
2015
0
4
1
0.79409355
1
46
2116
2
1970
9
526
1
0
0
0
1
0
1
0
0
12
6
18
18
1
3
4
0
0
0
0
0
0
0
1
0
0
0
0
35000
10.463103
35000
10.463103
1
3
2
0
0
0
2
3
0.5
1
0
2
3
2
1
1
1
-1
-1
2
-1
-3
-3
-3
3
3
0
3
2
3
1
1
2015
0
4
1
0.79409355
0
22
484
4
1994
14
201
1
0
0
1
0
0
0
0
0
16
12
16
12
1
3
3
0
0
1
0
1
0
0
0
0
0
1
0
45000
10.714417
145000
11.884489
1
5
2
0
0
0
2
1
4
0
0
3
-1
2
2
2
1
1
1
2
1
-1
-1
-1
2
3
0
2
9
1
1
2015
0
4
1
0.79409355
0
45
2025
2
1971
10
203
3
0
0
0
1
1
0
0
0
14
14
9
14
14
1
3
3
0
0
1
1
1
1
0
0
1
0
0
0
95000
11.461632
185000
12.128111
0
6
2
0
0
0
3
1.5
0.5
1
0
2
1
3
1
2
3
-1
3
3
1
3
3
-1
2
2
0
2
3
8
1
4
2015
1
4
1
0.79409355
0
37
1369
3
1979
11
103
1
0
0
1
0
0
0
0
0
16
14
18
18
4
4
4
0
0
1
0
1
0
0
0
0
0
1
0
45000
10.714417
65000
11.082143
1
4
2
0
1
0
3
1
4
1
0
2
-1
2
1
2
2
1
-3
2
-1
-1
1
1
3
3
0
3
2
2
1
2
2015
0
4
1
0.79409355
1
42
1764
2
1974
10
224
1
0
0
0
1
1
0
0
0
16
16
6
16
16
4
3
3
0
0
0
1
0
1
0
0
0
0
1
0
0
250000
12.429216
0
3
2
0
0
0
3
3
1
1
1
1
1
3
1
2
2
3
1
3
1
-3
1
-1
2
3
0
2
3
9996
0
0
2015
0
4
1
0.79409355
0
48
2304
2
1968
9
206
1
0
0
0
1
1
0
0
0
12
12
6
12
12
1
4
0
0
1
1
0
1
0
0
1
0
0
0
35000
10.463103
65000
11.082143
1
2
2
0
0
0
2
1
0.5
0
0
3
1
3
1
2
3
1
1
2
1
1
1
1
1
3
0
2
3
8
1
1
2015
1
4
1
0.79409355
1
25
625
4
1991
14
206
1
0
0
1
0
0
0
0
0
16
12
16
16
4
3
4
0
0
1
0
1
0
0
0
0
0
1
0
25000
10.126631
0
0
3
2
0
0
0
2
1
5
1
1
3
1
1
2
2
2
-1
1
2
1
1
-1
1
1
3
1
3
3
9
1
1
2015
0
4
1
0.79409355
0
48
2304
2
1968
9
206
1
0
0
0
1
1
0
0
0
14
14
6
16
16
1
3
4
0
0
0
1
0
0
0
0
0
0
0
1
65000
11.082143
105000
11.561716
0
3
2
0
0
0
2
2
0.5
1
1
3
1
3
2
1
3
1
1
3
1
1
1
1
2
3
0
3
2
2
1
2
2015
0
4
1
0.79409355
0
75
5625
0
1941
4
206
1
0
0
0
1
1
0
0
0
6
6
0
16
16
4
0
0
0
1
0
1
1
0
1
0
0
0
5000
8.5171928
25000
10.126631
1
5
2
0
0
0
1
2
0
1
1
3
1
3
2
4
3
1
1
1
1
3
3
-1
1
2
8
0
0
2015
1
4
1
0.79409355
1
55
3025
1
1961
8
206
1
0
0
0
1
1
0
0
0
9
9
6
16
16
4
3
3
0
0
0
1
0
1
1
0
1
0
0
0
35000
10.463103
35000
10.463103
1
6
2
0
0
0
3
2
1.5
0
0
3
3
2
2
1
2
3
1
2
1
1
1
1
3
3
1
4
3
3
1
3
2015
1
4
1
0.79409355
0
40
1600
2
1976
11
239
1
0
0
0
1
1
0
0
0
16
12
6
16
16
4
4
2
0
0
1
1
0
1
0
0
1
0
0
0
95000
11.461632
125000
11.736069
0
5
2
0
0
1
2
2
1
1
1
2
-1
3
1
2
3
3
1
1
-1
-1
1
-3
2
2
0
3
2
8
1
1
2015
1
4
1
0.79409355
1
80
6400
0
1936
3
206
1
0
0
0
1
0
0
0
1
0
6
0
12
12
1
1
1
0
0
0
0
0
1
1
0
1
0
0
0
0
5000
8.5171928
0
1
2
0
0
0
3
1
0
0
0
3
1
-1
1
3
0
9996
0
0
2015
1
4
1
0.79409355
1
23
529
4
1993
14
206
1
0
0
1
0
0
0
0
0
16
12
16
18
4
3
3
0
0
1
0
1
0
0
0
0
0
1
0
35000
10.463103
195000
12.180755
0
4
2
0
0
0
3
1
14
0
0
2
-1
3
2
2
2
-1
-1
2
-1
1
1
1
1
3
1
3
3
2
1
2
2015
0
4
1
0.79409355
0
55
3025
1
1961
8
206
1
0
0
0
1
1
0
0
0
12
12
6
16
16
4
3
2
0
0
0
1
0
1
0
0
0
0
1
0
55000
10.915089
105000
11.561716
0
5
2
0
0
0
2
1
2
0
0
3
3
2
1
2
2
-1
1
1
1
-3
1
-1
3
3
1
1
1
2
1
2
2015
0
4
1
0.79409355
1
77
5929
0
1939
3
111
1
0
0
0
1
0
0
0
1
6
12
0
16
16
1
2
1
0
0
0
0
0
1
1
0
1
0
0
0
0
0
1
3
2
0
0
0
2
2
0
0
0
3
1
3
2
3
0
4
9996
0
0
2015
1
4
1
0.79409355
0
51
2601
1
1965
8
206
1
0
0
0
1
0
1
0
0
9
9
16
16
3
3
4
0
0
0
0
0
1
0
0
0
0
0
0
55000
10.915089
95000
11.461632
1
6
2
0
0
0
2
0
0
1
0
2
1
2
1
3
1
3
1
2
1
-1
-1
-1
3
3
0
4
2
9
1
1
2015
0
4
1
0.79409355
1
53
2809
1
1963
8
227
1
0
0
0
1
1
0
0
0
2
9
2
16
16
4
4
3
0
0
0
1
0
1
0
0
0
0
1
0
25000
10.126631
0
0
3
2
0
0
0
3
2
0
1
1
3
1
2
1
2
2
-1
2
1
1
-1
-1
3
3
0
2
2
8
1
4
2015
0
4
1
0.79409355
0
49
2401
2
1967
9
206
1
0
0
0
1
1
0
0
0
12
12
0
12
12
4
1
4
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
6
2
0
0
0
0
2
3
0
0
2
-1
1
-1
0
9
1
1
2015
0
4
1
0.79409355
0
56
3136
1
1960
7
206
1
0
0
1
0
0
0
0
0
6
2
12
12
4
3
3
0
0
0
0
0
0
0
1
0
0
0
0
35000
10.463103
35000
10.463103
0
3
2
0
0
1
3
1
0
0
0
3
1
2
1
3
3
3
-3
1
1
-3
1
3
1
0
2
1
3
1
3
2015
0
4
1
0.79409355
1
78
6084
0
1938
3
206
1
0
0
0
1
0
0
0
1
0
2
2
16
16
1
2
3
0
0
0
0
0
1
0
0
0
0
0
0
0
35000
10.463103
1
2
2
0
0
0
2
5
0
0
0
2
1
3
1
1
1
3
1
1
3
1
3
0
3
9996
0
0
2015
0
4
1
0.79409355
0
46
2116
2
1970
9
206
1
0
0
0
1
1
0
0
0
15
14
6
16
16
1
3
4
0
0
1
1
0
1
0
0
1
0
0
0
45000
10.714417
85000
11.350407
0
4
2
0
0
0
2
1
0.33333334
1
1
2
1
2
1
3
3
1
-1
2
-1
1
1
1
2
3
0
3
2
1
2
2015
1
4
1
0.79409355
1
46
2116
2
1970
9
2
3
1
0
0
1
1
0
0
0
14
14
2
16
16
4
3
4
0
0
0
1
0
1
0
0
0
0
1
0
35000
10.463103
65000
11.082143
0
5
2
0
0
0
1
0.5
1
1
1
3
-1
2
1
2
2
1
1
2
1
-1
1
-1
3
3
0
3
2
9
1
1
2015
0
4
1
0.79409355
0
59
3481
1
1957
7
206
1
0
0
0
1
1
0
0
0
9
12
2
16
16
4
3
4
0
0
0
1
0
1
0
0
0
0
1
0
15000
9.6158056
55000
10.915089
1
5
2
0
0
0
1
3
0
0
0
4
1
4
2
2
2
1
1
3
1
3
1
3
3
3
0
3
2
8
1
4
2015
0
4
1
0.79409355
1
53
2809
1
1963
8
200
1
0
0
0
1
1
0
0
0
9
9
6
12
12
4
3
4
0
0
0
1
0
1
0
0
0
0
1
0
0
75000
11.225244
0
4
2
0
0
0
1
2
5
1
1
4
1
3
2
2
2
1
1
3
1
1
-1
1
3
0
2
3
9996
0
0
2015
0
4
1
0.79409355
1
45
2025
2
1971
10
653
1
0
0
0
1
1
0
0
0
9
12
6
16
16
1
3
3
0
0
1
1
1
1
0
0
1
0
0
0
0
25000
10.126631
0
3
2
0
0
0
2
2
2
1
0
4
-1
1
2
2
-1
1
1
1
3
0
2
9996
0
0
2015
1
4
1
0.79409355
0
37
1369
3
1979
11
221
1
0
0
1
0
0
0
0
0
9
6
16
16
1
2
4
0
0
0
0
1
0
0
0
0
0
0
0
45000
10.714417
75000
11.225244
0
4
2
0
0
0
2
4
2
1
1
2
1
2
2
3
2
3
1
2
1
1
-1
3
3
0
3
8
1
1
2015
0
4
1
0.79409355
1
36
1296
3
1980
11
206
1
0
0
1
0
0
0
0
0
14
6
12
12
3
3
0
0
1
0
1
0
1
0
0
1
0
0
35000
10.463103
105000
11.561716
0
4
2
0
0
0
2
0
6
0
0
3
1
3
1
2
2
1
1
2
1
-1
-1
-1
3
3
0
2
3
1
1
2015
1
4
1
0.79409355
1
83
6889
0
1933
2
320
2
0
0
0
1
0
0
0
1
0
15
0
16
12
4
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
3
2
0
0
0
3
3
0
0
0
3
1
-1
3
0
9996
0
0
2015
1
4
1
0.79409355
1
43
1849
2
1973
10
206
1
0
0
0
1
0
0
1
0
14
12
6
16
16
4
3
4
0
0
0
0
0
1
0
0
0
0
0
0
35000
10.463103
95000
11.461632
1
3
2
0
0
0
2
2
1
1
1
3
1
3
1
1
1
3
1
2
1
1
1
1
3
3
0
3
2
3
1
1
2015
0
4
1
0.79409355
0
43
1849
2
1973
10
206
1
0
0
0
1
1
0
0
0
9
12
6
16
12
1
2
2
0
0
0
1
0
0
0
0
0
0
0
1
45000
10.714417
45000
10.714417
1
3
2
0
0
0
3
1.5
0
0
0
3
3
2
1
2
2
3
1
3
1
3
1
1
1
3
0
2
1
10
1
1
2015
0
4
1
0.79409355
0
54
2916
1
1962
8
204
1
0
0
0
1
1
0
0
0
16
12
6
16
16
2
1
4
0
0
0
1
0
1
0
0
0
0
1
0
55000
10.915089
55000
10.915089
0
3
2
0
0
0
2
4
0.5
1
0
3
1
2
2
3
3
-1
1
2
-1
-1
-1
3
3
0
3
3
8
0
0
2015
0
4
1
0.79409355
0
68
4624
0
1948
5
203
1
0
0
0
1
1
0
0
0
14
12
6
16
16
1
1
4
0
0
1
1
0
0
0
0
0
0
0
0
25000
10.126631
65000
11.082143
1
3
2
0
0
0
1
2
1
1
1
3
1
2
2
2
1
3
-3
2
-3
-1
1
-3
3
3
0
4
1
1
0
0
2015
0
4
1
0.79409355
0
26
676
4
1990
13
333
1
0
0
1
0
0
0
0
0
18
14
16
16
4
4
3
0
0
1
0
1
0
0
0
0
0
1
0
0
25000
10.126631
1
3
2
0
0
0
3
0
3
1
1
3
-1
3
1
2
2
1
-1
2
-1
-1
-1
-1
3
3
0
3
3
9996
0
0
2015
0
4
1
0.79409355
0
71
5041
0
1945
4
358
1
0
0
0
1
0
1
0
0
6
0
12
12
1
3
3
0
0
0
0
0
1
0
0
0
0
0
0
15000
9.6158056
15000
9.6158056
1
2
2
0
0
0
8
3
0
1
1
3
1
3
1
2
1
3
3
2
1
1
1
1
3
3
0
4
2
8
0
0
2015
0
4
1
0.79409355
0
63
3969
0
1953
6
206
1
0
0
0
1
1
0
0
0
12
9
6
16
16
1
2
4
0
0
1
1
0
1
0
0
1
0
0
0
25000
10.126631
25000
10.126631
0
4
2
0
0
0
2
3
0
0
0
2
1
2
1
1
1
1
1
2
3
1
1
-1
1
2
0
3
3
10
1
3
2015
1
4
1
0.90988523
0
51
2601
1
1965
8
207
1
0
0
0
1
0
1
0
0
12
0
16
16
4
3
4
0
0
1
0
0
0
0
0
0
0
1
0
15000
9.6158056
15000
9.6158056
0
4
2
0
0
1
2
0.5
1.5
1
1
2
-1
1
-1
1
2
3
-1
2
1
1
3
-3
3
2
0
1
4
2
1
3
2015
0
4
1
0.90988523
1
68
4624
0
1948
5
646
1
0
0
0
1
1
0
0
0
6
6
0
12
12
1
2
4
0
0
0
1
0
1
1
0
1
0
0
0
0
0
0
2
2
0
0
1
1
1
0
1
1
4
1
3
2
3
3
3
1
1
1
1
1
1
0
3
2
9996
0
0
2015
1
4
1
0.90988523
0
66
4356
0
1950
5
207
1
0
0
0
1
1
0
0
0
9
9
0
12
12
1
2
4
0
0
0
1
1
1
1
0
1
0
0
0
15000
9.6158056
35000
10.463103
0
3
2
0
0
1
3
8
0
1
1
4
3
2
1
2
2
3
1
3
1
-1
3
-3
2
2
-1
1
2
3
0
0
2015
1
4
1
0.90988523
0
61
3721
0
1955
6
207
1
0
0
0
1
0
1
0
0
6
6
16
12
1
4
4
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
3
2
0
0
1
2
2.5
0
1
1
3
1
2
1
2
3
3
-1
2
-1
-1
-1
3
3
1
4
2
10
0
0
2015
0
4
1
0.90988523
0
27
729
4
1989
13
207
1
0
0
1
0
0
0
0
0
14
9
16
12
1
4
2
0
1
1
0
1
0
0
0
1
0
0
0
45000
10.714417
125000
11.736069
0
6
2
0
0
1
3
2
6
0
0
1
-1
2
2
2
2
1
-1
3
-1
-1
1
-1
1
3
0
7
1
1
2015
1
4
1
0.90988523
1
37
1369
3
1979
11
207
1
0
0
1
0
0
0
0
0
16
12
16
16
4
4
4
0
1
1
0
0
1
0
0
1
0
0
0
0
105000
11.561716
1
6
2
0
0
1
3
0.5
3.5
1
1
3
3
1
1
1
1
-3
-3
1
-1
-1
-3
-1
3
3
1
4
2
9996
0
0
2015
1
4
1
0.90988523
0
59
3481
1
1957
7
241
1
0
0
0
1
1
0
0
0
9
9
0
12
12
4
0
0
0
1
0
1
0
0
0
0
1
0
25000
10.126631
0
1
4
2
0
0
1
2
4
7
0
0
2
3
2
1
2
2
1
-1
3
-1
-1
1
-3
3
3
1
4
2
9
1
1
2015
0
4
1
0.90988523
1
85
7225
0
1931
2
984
1
0
0
0
1
0
0
0
1
0
0
0
16
3
3
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
1
2
0
0
1
1
6
0
1
1
3
1
2
3
1
1
3
1
1
2
0
9
0
0
2015
1
4
1
0.90988523
1
24
576
4
1992
14
407
1
0
0
0
1
1
0
0
0
12
16
16
16
12
4
4
0
0
1
1
0
1
0
0
1
0
0
0
0
0
0
2
2
0
0
1
1
4
4
0
0
3
1
3
1
3
3
1
1
3
1
1
1
1
1
3
0
3
3
9996
0
0
2015
1
4
1
0.90988523
0
49
2401
2
1967
9
224
1
0
0
0
1
1
0
0
0
12
12
9
16
16
1
1
0
0
0
1
0
1
0
0
0
0
1
0
0
25000
10.126631
0
6
2
0
0
0
1
4.5
0
0
0
2
3
2
1
2
2
1
-1
2
-1
-1
1
-3
1
0
3
2
0
0
2015
0
4
1
0.90988523
0
44
1936
2
1972
10
214
1
0
0
0
1
1
0
0
0
12
0
6
16
16
1
3
4
0
0
1
1
1
1
0
0
1
0
0
0
55000
10.915089
0
1
2
2
0
0
1
3
0.5
0.5
1
0
3
1
2
1
2
2
1
1
2
1
1
1
1
1
3
1
3
3
8
1
1
2015
1
4
1
0.90988523
0
58
3364
1
1958
7
261
1
0
0
0
1
0
1
0
0
12
6
12
12
4
4
4
0
0
1
0
0
0
0
0
0
0
1
0
15000
9.6158056
15000
9.6158056
0
3
2
0
0
0
3
1.5
2
1
1
2
3
4
1
3
1
3
1
2
1
-3
1
1
1
2
0
1
2
2
0
0
2015
0
4
1
0.90988523
1
57
3249
1
1959
7
207
1
0
0
0
1
1
0
0
0
6
6
6
16
16
3
3
4
0
0
0
1
0
1
1
0
1
0
0
0
55000
10.915089
145000
11.884489
0
2
2
0
0
0
2
2.5
0.5
1
1
4
-1
2
2
3
2
3
1
2
1
-1
1
1
3
3
0
3
2
0
0
2015
1
4
1
0.90988523
0
61
3721
0
1955
6
9997
1
0
0
1
0
0
0
0
0
6
0
12
12
1
3
0
0
0
0
0
0
0
1
0
0
0
0
55000
10.915089
450000
13.017003
0
3
2
0
0
1
3
5
0
1
0
1
3
2
1
1
2
-1
-1
3
1
1
-1
-1
3
3
0
3
2
8
1
1
2015
0
4
1
0.90988523
1
55
3025
1
1961
8
207
1
0
0
0
1
1
0
0
0
9
12
0
14
14
4
4
4
0
0
1
1
0
1
0
0
1
0
0
0
15000
9.6158056
55000
10.915089
0
4
2
0
0
1
3
2
1
1
1
2
1
4
1
2
2
3
1
3
-1
-1
3
1
1
3
0
4
2
3
1
1
2015
1
4
1
0.90988523
0
38
1444
3
1978
11
207
1
0
0
0
1
1
0
0
0
16
16
9
16
16
4
3
4
0
0
0
1
0
1
0
0
0
0
1
0
65000
11.082143
105000
11.561716
0
4
2
0
0
0
2
2
2
1
1
3
-1
2
1
2
2
1
-1
2
1
-1
-1
-1
2
2
0
2
2
1
2
2015
0
4
1
0.90988523
1
93
8649
0
1923
0
253
1
0
0
0
1
0
0
0
1
0
0
2
16
2
1
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
1
2
0
0
1
3
0.16666667
0
0
0
3
1
1
1
2
3
2
0
2
2
9
0
0
2015
1
4
1
0.90988523
1
28
784
4
1988
13
204
1
0
0
1
0
0
0
0
0
18
9
18
16
4
3
4
0
0
0
0
0
0
0
1
0
0
0
0
35000
10.463103
0
1
4
2
0
0
0
3
2
10
0
0
2
1
2
1
1
1
-1
-3
2
1
-3
-1
1
3
3
0
3
2
3
1
1
2015
0
4
1
0.90988523
1
77
5929
0
1939
3
207
1
0
0
0
1
1
0
0
0
0
0
6
16
16
4
2
0
0
0
1
0
1
1
0
1
0
0
0
5000
8.5171928
0
0
1
2
0
0
1
1
1.5
0
1
0
3
1
2
1
3
3
3
1
1
2
1
3
3
9
0
0
2015
1
4
1
0.90988523
1
27
729
4
1989
13
200
1
0
0
0
1
1
0
0
0
16
12
9
16
16
4
2
4
0
0
0
1
0
1
0
0
0
0
1
0
0
55000
10.915089
0
1
2
0
0
0
3
12
12
1
1
1
3
3
1
4
1
1
-3
1
3
-1
-3
3
2
3
0
3
2
9996
0
0
2015
0
4
1
0.90988523
0
32
1024
3
1984
12
205
1
0
0
1
0
0
0
0
0
14
9
12
14
3
4
2
0
1
1
0
1
0
0
0
1
0
0
0
35000
10.463103
0
0
4
2
0
0
1
2
1
6
1
1
3
3
4
1
1
2
3
3
1
1
3
3
1
1
2
0
3
3
3
1
1
2015
1
4
1
0.90988523
0
60
3600
0
1956
7
207
1
0
0
0
1
1
0
0
0
12
16
6
12
12
1
3
4
0
0
1
1
0
1
1
0
1
0
0
0
45000
10.714417
95000
11.461632
0
3
2
0
0
1
3
4
0
1
1
4
3
1
1
4
1
3
3
3
-1
-3
1
2
2
-1
1
1
8
1
4
2015
1
4
1
0.90988523
1
46
2116
2
1970
9
207
1
0
0
0
1
1
0
0
0
12
12
2
16
16
4
4
4
0
0
0
1
0
1
0
0
0
0
1
0
15000
9.6158056
55000
10.915089
0
3
2
0
0
1
2
4
3
1
0
4
-1
2
1
1
1
1
1
3
1
1
1
-1
3
3
0
3
2
3
1
1
2015
0
4
1
0.90988523
1
51
2601
1
1965
8
207
1
0
0
0
1
1
0
0
0
9
9
0
12
12
1
3
4
0
0
0
1
0
0
0
0
0
0
0
1
0
55000
10.915089
0
1
2
0
0
1
1
3.5
0
1
1
4
-1
2
1
3
1
-1
3
1
1
1
1
3
3
0
3
9996
0
0
2015
0
4
1
0.9299888
1
56
3136
1
1960
7
514
1
0
0
0
1
1
0
0
0
6
9
0
16
16
3
4
4
0
0
0
1
0
1
0
0
0
0
1
0
0
0
1
6
2
0
0
1
3
3
2
0
0
2
1
3
1
1
1
3
3
3
3
3
-1
-1
1
3
0
3
3
9
1
1
2015
0
4
1
0.9299888
1
70
4900
0
1946
5
9998
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
2
0
0
1
3
1
0
1
0
4
0
3
0
9996
0
0
2015
0
4
1
0.9299888
0
40
1600
2
1976
11
220
1
0
0
0
1
1
0
0
0
14
14
9
16
16
4
4
0
0
0
1
0
1
0
0
0
0
1
0
35000
10.463103
65000
11.082143
0
4
2
0
0
1
0
1.5
4
1
1
2
1
1
1
1
2
3
-1
1
-1
-1
-1
-1
1
1
0
3
3
2
1
2
2015
0
4
1
0.9299888
0
37
1369
3
1979
11
220
1
0
0
0
1
1
0
0
0
12
16
9
12
12
3
4
4
0
0
0
1
0
1
0
0
0
0
1
0
35000
10.463103
65000
11.082143
0
4
2
0
0
1
1
3
0.083333336
1
0
2
3
3
1
2
1
3
1
2
-1
1
1
-3
1
3
0
4
4
9
1
1
2015
0
4
1
0.9299888
1
27
729
4
1989
13
220
1
0
0
1
0
0
0
0
0
16
12
16
16
4
3
4
0
0
1
0
1
0
0
0
0
0
1
0
35000
10.463103
145000
11.884489
0
3
2
0
0
1
0
2
6
1
0
3
3
4
1
1
1
3
-1
1
3
3
-1
-1
1
3
-1
3
1
2
1
2
2015
0
4
1
0.9299888
1
37
1369
3
1979
11
105
1
0
0
1
0
0
0
0
0
16
6
16
16
3
4
4
0
0
1
0
1
0
0
0
0
0
1
0
15000
9.6158056
0
0
3
2
0
0
1
0
1
0.5
0
0
2
3
2
1
2
2
-1
-1
2
-1
-1
-1
-1
3
3
0
3
2
9
1
1
2015
0
4
1
0.9299888
1
71
5041
0
1945
4
251
1
0
0
0
1
1
0
0
0
0
6
0
16
16
1
4
0
0
0
1
0
1
1
0
1
0
0
0
0
0
1
3
2
0
0
1
2
3
0
1
0
4
1
-1
-1
1
3
1
4
2
9996
0
0
2015
1
4
1
0.9299888
1
46
2116
2
1970
9
369
2
0
0
0
1
1
0
0
0
12
14
6
14
14
3
3
4
0
0
0
1
0
1
0
0
0
0
1
0
0
115000
11.652687
0
3
2
0
0
1
0
1.5
0.5
1
0
2
1
3
1
1
2
-1
-1
2
-1
-1
-1
-3
2
1
0
3
3
9996
0
0
2015
0
4
1
0.9299888
1
72
5184
0
1944
4
335
1
0
0
0
1
0
0
0
1
6
6
0
16
16
4
2
2
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
2
2
0
0
1
1
8
0
1
1
4
3
2
1
1
1
1
-1
3
0
2
9996
0
0
2015
0
4
1
0.9299888
0
28
784
4
1988
13
220
1
0
0
1
0
0
0
0
0
16
9
16
16
4
3
4
0
0
1
0
0
0
0
0
0
0
1
0
35000
10.463103
0
0
4
2
0
0
1
0
2
2
1
1
3
-1
3
1
2
3
1
1
2
-1
-1
1
-1
3
3
0
3
3
9
1
1
2015
0
4
1
0.9299888
0
76
5776
0
1940
3
958
1
0
0
0
1
1
0
0
0
6
12
0
18
18
3
3
4
0
0
0
1
0
1
1
0
1
0
0
0
0
0
0
2
2
0
0
1
1
1
0
1
1
4
-1
2
1
3
1
1
2
0
9
0
0
2015
1
4
1
0.9299888
1
48
2304
2
1968
9
220
1
0
0
1
0
0
0
0
0
9
6
16
16
4
4
0
0
0
0
1
0
0
0
0
0
0
0
5000
8.5171928
0
1
2
2
0
0
1
1
4.5
0
0
0
2
1
2
1
2
2
-1
1
2
1
1
1
1
3
2
0
3
3
9
1
1
2015
0
4
1
0.9299888
1
37
1369
3
1979
11
337
1
0
0
0
1
1
0
0
0
16
18
6
16
16
3
4
4
0
0
0
1
0
1
0
0
0
0
1
0
0
95000
11.461632
1
3
2
0
0
1
3
4
2
1
1
2
1
2
1
2
2
1
-1
2
-1
-1
-1
1
2
3
0
3
3
9996
0
0
2015
0
4
1
0.9299888
1
81
6561
0
1935
3
220
1
0
0
0
1
1
0
0
0
6
6
0
9
16
4
2
2
0
0
0
1
0
0
1
0
0
1
0
0
0
5000
8.5171928
0
2
2
0
0
1
1
2
0
1
1
4
1
3
-1
1
3
1
1
-1
1
1
3
0
9996
0
0
2015
1
4
1
0.9299888
1
33
1089
3
1983
12
608
1
0
0
0
1
1
0
0
0
16
14
12
16
16
4
3
4
0
0
0
1
0
0
0
0
0
0
0
1
35000
10.463103
75000
11.225244
0
6
2
0
0
1
2
1
0.5
1
1
2
1
1
2
2
-1
-1
2
-1
-1
-1
-1
2
3
1
3
2
8
1
4
2015
0
4
1
0.9299888
0
40
1600
2
1976
11
220
1
0
0
1
0
0
0
0
0
18
6
18
18
4
4
4
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
4
2
0
0
1
0
1
2
1
1
3
1
3
1
1
1
1
3
1
1
-1
1
-1
1
3
0
3
3
1
1
2
2015
0
4
1
0.9299888
1
33
1089
3
1983
12
220
2
0
0
0
1
1
0
0
0
16
16
12
12
12
4
3
4
0
0
0
1
0
0
0
0
0
0
0
1
25000
10.126631
45000
10.714417
0
5
2
0
1
0
2
1.5
12
1
1
3
-1
3
2
2
-1
-1
2
-1
-1
-1
-1
2
3
1
3
2
3
1
3
2015
0
4
1
0.9299888
0
40
1600
2
1976
11
730
1
0
0
0
1
1
0
0
0
16
16
12
18
16
4
2
4
0
0
0
1
0
1
0
0
0
0
1
0
45000
10.714417
95000
11.461632
0
5
2
0
0
1
2
0
3
0
0
2
1
3
1
2
-1
1
2
1
-1
-1
1
2
3
0
3
3
1
1
2015
0
4
1
0.9299888
0
64
4096
0
1952
6
360
2
0
0
0
1
1
0
0
0
12
9
6
16
16
3
2
4
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
5
2
0
0
1
1
6
2
1
0
4
-3
2
2
1
1
3
3
3
3
3
-1
1
2
-1
3
3
2
0
0
2015
0
4
1
0.9299888
0
36
1296
3
1980
11
220
3
0
0
1
0
0
0
0
0
18
12
16
16
4
3
4
0
0
1
0
0
0
0
0
0
0
1
0
35000
10.463103
0
0
2
2
0
0
1
0
1
1.5
1
0
2
-1
2
1
2
2
-1
-1
2
-1
-1
-1
-1
2
2
0
2
2
3
1
1
2015
0
4
1
0.9299888
0
41
1681
2
1975
10
220
1
0
0
0
1
1
0
0
0
14
12
9
16
16
4
4
4
0
0
1
1
0
1
0
0
1
0
0
0
65000
11.082143
145000
11.884489
0
4
2
0
0
1
0
2
2.5
1
0
2
1
2
1
2
3
1
-1
2
-1
-1
-1
-1
2
3
0
2
2
2
1
2
2015
1
4
1
0.9299888
1
42
1764
2
1974
10
654
1
0
0
0
1
1
0
0
0
18
18
2
9
9
3
3
4
0
0
1
1
0
1
0
0
1
0
0
0
0
0
1
4
2
0
0
1
2
1
1
1
0
3
-1
2
1
2
2
1
-1
1
-1
-1
-1
-1
3
3
0
2
3
9996
0
0
2015
1
4
1
0.9299888
0
20
400
4
1996
15
220
1
0
0
1
0
0
0
0
0
16
12
16
16
4
4
4
0
0
1
0
1
0
0
0
0
0
1
0
0
95000
11.461632
0
6
2
0
0
0
2
3
6
1
1
2
-1
4
2
2
1
3
-1
1
3
3
1
1
3
3
1
4
3
9996
0
0
2015
0
4
1
0.9299888
0
62
3844
0
1954
6
100
1
0
0
0
1
1
0
0
0
14
12
12
12
12
3
4
4
0
0
1
1
0
0
0
0
0
0
0
0
75000
11.225244
85000
11.350407
1
4
2
0
0
1
0
3
5
1
1
3
1
3
1
1
1
1
-3
1
-1
-1
-3
-3
3
3
1
4
2
2
1
2
2015
0
4
1
0.9299888
0
25
625
4
1991
14
220
3
0
0
1
0
0
0
0
0
12
16
16
16
1
4
1
0
1
1
0
0
0
0
0
1
0
0
0
35000
10.463103
0
0
5
2
0
0
1
0
2.5
3
1
1
3
-1
3
2
1
3
1
1
2
1
1
1
1
1
3
0
3
3
8
1
1
2015
1
4
1
0.9299888
0
34
1156
3
1982
12
108
1
0
0
1
0
0
0
0
0
16
16
16
16
4
4
4
0
0
0
0
0
0
0
1
0
0
0
0
105000
11.561716
145000
11.884489
0
4
2
0
1
0
0
1
2
1
1
3
1
2
1
2
3
-1
-1
1
-1
-1
1
1
3
3
0
3
3
1
1
2
2015
0
4
1
0.9299888
1
52
2704
1
1964
8
360
2
0
0
1
0
0
0
0
0
16
6
12
12
4
4
4
0
0
0
0
0
0
0
1
0
0
0
0
35000
10.463103
35000
10.463103
1
3
2
0
0
1
0
0
10
1
1
2
3
2
1
1
1
-1
-1
1
-3
-3
-1
-3
3
3
1
3
3
2
1
2
2015
0
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